Your Table. Fill In The Table Below Y=2x-3 (2024)

According to the information the unshaded portion of the lot to be paved is about 6,250ft²

How to know how many square feet of paving?

To find out how many square feet will be paved, we must find the area of the unshaded area to be paved. Additionally we must find the area of the dashed line squares to calculate the area without shading more easily.

We know that there are 8 dashed squares that are going to be completely paved and 3 that are going to be paved in part. Additionally, according to the measurements the area of the squares is 625 square feet.

So, to find the area of the squares that are going to be partially paved, we must look at more or less how much of the square we are going to pave and divide the area into that portion, for example, there is one that we must pave 1/2 and another two that we must pave in 3/4.

Based on the above, we can divide 625 into 4 and 2 to find these areas.

625 / 2 = 312.5625 / 4 = 156.25156.25 * 3 = 468.75

Now we can know the total amount of the dashed area that we are going to pave. There are 8 complete squares that have an area of 625ft. Additionally, it is one square in half and two in three quarters.

625 * 8 = 5,000312.5468.75 * 2 = 937.5

937.5ft² + 312.5ft² + 5,000ft² = 6,250ft²

Note: This question is incomplete because there is some information missing. Here is the complete information:

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The solution is, the original number in the work force is 190.76.

What is percentage?

A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.

here, we have,

A 35% decrease resulted in a new work force number of 124.

let, the original number in the work force is x

then,

x - x*35% = 124

or, x - 0.35 x = 124

or, 0.65 x = 124

or, x = 190.76

Hence, The solution is, the original number in the work force is 190.76.

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Step-by-step explanation:

We can use polynomial long division to simplify the expression:

x^2 + 3x + 15

------------------

x - 3 | x^3 - 3x^2 + 6x - 18

- (x^3 - 3x^2 + 9x)

--------------------

-3x - 18

- (-3x + 9)

----------

-9

Therefore,

(x^3 - 3x^2 + 6x - 18) / (x - 3) = x^2 + 3x + 15 - 9/(x-3)

So the simplified expression is x^2 + 3x + 15 - 9/(x-3).

The cost of the manicure (b) is,

⇒ b = $4.275

What is mean by Percentage?

A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.

Given that;

Delaney gave her nail technician a $4.50 tip.

And, The tip was 5% of the cost of the manicure.

Now, Let the cost of the manicure = b

Hence, We get;

⇒ b = $4.50 - 5% of 4.50

⇒ b = 4.50 - 5/100 × 4.50

⇒ b = 4.50 - 5 × 0.045

⇒ b = 4.50 - 0.225

⇒ b = $4.275

Thus, The cost of the manicure (b) is,

⇒ b = $4.275

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-21π/8 lies in 3rd quadrant, -5π/9 lies in 3rd quadrant, 5π/6 lies in 2nd quadrant and 35π/4 lies in 1st quadrant.

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

To determine the quadrant in which the angle -21π/8 lies

Convert -21π/8 to number

-21×180/8

-472.5 degrees lies in which quadrant we have to check.

The value is negative

Quadrant IV = 0 to -90°

Quadrant III = -90° to -180°

Quadrant II = -180° to -270°

Quadrant I = -270° to -360°

-21π/8 lies in 3rd quadrant

-5π/9=-100 which lies in 3rd quadrant

5π/6=150 which is positive so it lies in 2nd quadrant

35π/4=1575 which is positive so it lies in 1st quadrant

Hence, -21π/8 lies in 3rd quadrant, -5π/9 lies in 3rd quadrant, 5π/6 lies in 2nd quadrant and 35π/4 lies in 1st quadrant.

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The Bureau of Transportation Statistics (BTS) is an agency that collects information on transportation systems, including data on airline performance.

By analyzing the data, we can gain a better understanding of how well airlines are performing and where improvements can be made.

For example, let's consider the departure-time data for all flights of an unspecified major airline out of New York City's John F. Kennedy Airport from December 1 through December 7, 2007. Using the Data View tool provided by BTS, we can view the data and analyze it to find the mean and standard deviation of the departure delays.

By finding the mean of the departure delays, we can determine the average amount of delay experienced by all flights during this time period.

The standard deviation of the departure delays can also provide valuable insights. This is a measure of how spread out the data is around the mean. A high standard deviation indicates that the departure delays were widely varied, with some flights experiencing very little delay and others experiencing significant delay. Conversely, a low standard deviation indicates that the departure delays were relatively consistent across all flights.

In mathematical terms, the mean of the departure delays can be calculated by adding up all of the departure delay values and dividing by the total number of flights. The standard deviation can be calculated using a formula that takes into account the differences between each departure delay value and the mean, and then divides the sum of those differences by the number of values in the data set.

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Based on the definition of supplementary and Vertical angles, each measures are:

16. x = 40°; y = 50°

17. x = 100°; y = 80°

How to Apply the Definition of Supplementary and Vertical Angles?

16. 90 + x = 3x + 10 (exterior angle of a triangle theorem)

x - 3x = -90 + 10

-2x = -80

x = 40°

y + 3x + 10 = 180 (supplementary angles)

y + 3(40) + 10 = 180

y + 130 = 180

y = 180 - 130

y = 50°

17. x + x - 20 = 180 (supplementary angles)

2x = 180 + 20

2x = 200

x = 100°

x - 20 = y [Vertical Angles]

100 - 20 = y

y = 80°

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The random variable x has a sampling distribution that has a mean of 3.2 inches, a sampling distribution that is approximately Normal by the central limit theorem and a sampling distribution that has a standard deviation of 3 inches. So the option D is correct.

The number of column inches of classified advertisem*nts appearing on Mondays in a certain daily newspaper has mean 320 inches.

The number of column inches of classified advertisem*nts appearing on Mondays in a certain daily newspaper has standard deviation 30 inches.

A sample is 100.

So, the mean number of column inches of classified advertisem*nts in the sample = Mean/Sample number

The mean number of column inches of classified advertisem*nts in the sample = 320/100

The mean number of column inches of classified advertisem*nts in the sample = 3.2

Normal distribution

The standard deviation of column inches of classified advertisem*nts in the sample = standard deviation/√Sample number

The standard deviation of column inches of classified advertisem*nts in the sample = 30/10

The standard deviation of column inches of classified advertisem*nts in the sample = 3

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Answer:

[tex]\text{Option H : $\dfrac{\pi}{3}$ and $\dfrac{2\pi}{3}$ only}[/tex]

Step-by-step explanation:

We have

[tex]\sin \theta =\dfrac{ \sqrt{3}}{2}\\\\\theta = sin^{-1} \dfrac{ \sqrt{3}}{2}\\\\ =60^\circ \\\\= \dfrac{\pi}{3}[/tex]

Since sine is positive in first and second quadrants and sine is a parodic function, we will have sin(θ)= √3/2 at sin(π - θ)

π - θ = π - π/3 = 2π/3

Therefore the two possible values for θ in the interval 0 ≤ θ ≤ 2π are
π/3 and 2π/3

Correct choice is Option H

You can verify by using a calculator that both these sine values will result in √3/2 which is approximately 0.866

The correct option is indicating the the altitude h from angle B to side b is given by C. c sin A

The diagram representing the stated points is added in the figure. Now, let us assume the angle A to be at point A, angle B at the point B and midpoint as D. So, a right angled triangle forms between A, B and D.

Now, we need to find the height which can be done through trigonometric relations. The sine function will be used here.

sin A = perpendicular/ Hypotenuse

sin A = h /side c

Rewriting the equation according to h

h = c sin A

Therefore, C. c sin A is the correct option.

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The mean is 16 and median are 15, 18 .

mean = (10 + 20 + 21 + 21 + 18 +1 2)/ 6 = 16

and median

10 ,12,15 , 18 , 20 ,21

median are 15 and 18

Mean is the most commonly used measure of central tendency. It actually represents the average of the given collection of data. It is applicable for both continuous and discrete data.

It is equal to the sum of all the values in the collection of data divided by the total number of values.

Generally median represents the mid-value of the given set of data when arranged in a particular order.

Median: Given that the data collection is arranged in ascending or descending order, the following method is applied:

If number of values or observations in the given data is odd, then the median is given by [(n+1)/2]th observation.

If in the given data set, the number of values or observations is even, then the median is given by the average of (n/2)th and [(n/2) +1]th observation.

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The equation belongs to the same function family as the graphed function will be y = 2 · (5)ˣ. Then the correct option is C.

What is an exponent?

Let a be the initial value and x be the power of the exponent function and b be the increasing factor.

The exponent is given as,

y = a(b)ˣ

From the diagram, the graph represents the exponential function. Then the equation is written as,

y = a · (e⁻ˣ)

The equation belongs to the same function family as the graphed function will be y = 2 · (5)ˣ. Then the correct option is C.

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The complete question is attached below.

The probability that the average calorie intake per day over the next 365 days is at most 3500 is approximately 0.9382.

We know that the calorie intake at breakfast, lunch, and dinner for an individual are independent and normally distributed random variables with the following parameters:

[tex]Breakfast: N(500, 50^2)[/tex]

[tex]Lunch: N(900, 100^2)[/tex]

[tex]Dinner: N(2000, 180^2)[/tex]

Let X be the total calorie intake for one day, and let X1, X2, and X3 be the calorie intakes for breakfast, lunch, and dinner on a given day, respectively. Then we have:

[tex]X = X1 + X2 + X3[/tex]

The expected value and variance of X are:

[tex]E(X) = E(X1) + E(X2) + E(X3) = 500 + 900 + 2000 = 3400[/tex]

[tex]Var(X) = Var(X1) + Var(X2) + Var(X3) = 50^2 + 100^2 + 180^2 = 39100[/tex]

The average calorie intake per day over the next 365 days is given by:

[tex]Y = (X1 + X2 + X3 + ... + X365)/365[/tex]

The expected value and variance of Y are:

[tex]E(Y) = E(X)/365 = 3400/365 \approx 9.3151[/tex]

[tex]Var(Y) = Var(X)/365^2 = 39100/365^2 \approx 2.1263[/tex]

We need to find P(Y ≤ 3500). Standardizing Y, we get:

[tex]Z = (Y - E(Y))/\sqrt{(Var(Y)}) ~ N(0,1)[/tex]

[tex]P(Y \leq 3500) = P((Y - E(Y))/\sqrt{(Var(Y)}) \leq (3500 - E(Y))/\sqrt{(Var(Y)}))[/tex]

[tex]= P(Z \leq (3500 - 3400)/\sqrt{(39100/365)})[/tex]

[tex]= P(Z \leq 1.5476)[/tex]

Using a standard normal table or calculator, we find that P(Z ≤ 1.5476) ≈ 0.9382.

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Answer:

Step-by-step explanation:

statistical questions have variability in the data.

Option C - has answers that will vary.

Statistical questions do not have a single answer.

All the other questions can be answered with one factual response.

Best answer choice C

pizza

first the dough

then the sause

then the cheese

then the bacon

then the pineapple ‍♂️

Answer:

love ya you special person

Inez and Billy sewed the most pieces equally which is 6 pieces each.

What is an equation?

An equation is an expression that shows how numbers and variables are related using mathematical operations. Equations can be linear, quadratic, cubic and so on.

Some friends made a 12-piece quilt for the State Fair in Dallas. Inez sewed 2/4 of the quilt. Billy sewed 1/2 of the quilt, and Cass sewed 2 pieces.

Hence:

Number of quilt sewed by Inez = (2/4) * 12 piece = 6 pieces

Number of quilt sewed by Billy = (1/2) * 12 piece = 6 pieces

Number of pieces sewed by Cass = 2 pieces

Inez and Billy sewed the most pieces.

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Given x > 0 and a natural number n, it is true that there exists a unique positive real number r such that x^(1/n) = r. This is known as the nth root of x and is denoted as x^(1/n) = r.

The existence of this positive real number r is guaranteed by the fact that the nth power function, f(r) = r^n, is an increasing function over the positive real numbers, meaning that for any positive real numbers a and b, if a < b then f(a) < f(b). This implies that for any positive real number x, there exists a unique positive real number r such that f(r) = x.

To see this, consider the interval (0, x^(1/n)) for some x > 0 and natural number n. Since f(r) = r^n is increasing over the positive real numbers, it takes on all positive real values over this interval, including x. Therefore, there must exist a unique positive real number r in this interval such that f(r) = x, which means that x^(1/n) = r.

Therefore, for any positive real number x and natural number n, there exists a unique positive real number r such that x^(1/n) = r.

Answer:

Gotta be 95

Step-by-step explanation:

Answer:

Ethan bought 4 gold bars

Step-by-step explanation:

$320 divided by $8 per ounce

there is 40 ounces of gold

40 divided by 10 is 4

Answer:400

Step-by-step explanation:

1 gold bar=10 ounces

1 gold bar=10*8=80 dollars

step 2: 320*10/8=3200/8=400

step 3: 320 dollars is worth 400 gold bars

The required, given polynomial has exactly 4 roots, which may be real or imaginary or a combination of both.

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial, and trinomial, etc. ax+b is a polynomial.

Here,
The fundamental theorem of algebra states that every non-constant polynomial with complex coefficients has exactly as many roots (zeros) as its degree. In this case, the degree of the polynomial is 4, so it has exactly 4 complex roots.

However, it is not clear whether any of the roots are real or imaginary, or whether they are all complex. To determine this, we would need to use methods such as the rational root theorem, synthetic division, or the quadratic formula to find the roots of the polynomial.

Without actually finding the roots, we can say that the polynomial has exactly 4 roots, which may be real or imaginary or a combination of both.

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Assume that x and y are real numbers that are positive, [tex]$\mathrm{x} \sqrt{\mathrm{x}}+\mathrm{y} \sqrt{\mathrm{y}}=183$[/tex] and [tex]$\mathrm{x} \sqrt{\mathrm{y}}=$[/tex] [tex]$\mathrm{y} \sqrt{\mathrm{x}}=182$[/tex] then value of [tex]$\frac{18}{5}(\mathrm{x}+\mathrm{y})$[/tex] is 146.

What is meant by real numbers?Real numbers can be used to represent continuous one-dimensional mathematical quantities like temperature, time, or distance.Continuous in this context suggests that values may vary by arbitrary little amounts. An infinite decimal expansion can nearly always represent any real number. Real numbers include the number zero and can be either positive or negative. They are known as real numbers because they do not belong to the category of imaginary numbers, which is a different type of number system. The square root of -1.15 is an imaginary number, which cannot be measured.The definition of a real number is a quantity that may represent a line-distance. Natural numbers, whole numbers, rational and irrational numbers, and the real number system can all be divided into these categories.

Given,

[tex]& x \sqrt{x}+y \sqrt{y}=183 \quad \ldots \ldots . .(1) \\[/tex]

[tex]& x \sqrt{y}+y \sqrt{x}=182 \ldots \ldots \ldots .(2) \\[/tex]

[tex]& \sqrt{x y}(\sqrt{x}+\sqrt{y})=182 \\[/tex]

[tex]& \text { Let } u=\sqrt{x} \text { and } v=\sqrt{y} \\[/tex]

[tex]& \Rightarrow x=u^2 \text { and } y=v^2 \\[/tex]

[tex]& (1) \Rightarrow u^2 u+v^2 v=183 \\[/tex]

Then,

[tex]& \Rightarrow u^3+v^3=183 \quad \ldots \ldots . .(3) \\[/tex]

[tex]& \text { and } u v(u+v)=182 \quad \ldots \ldots(4) \\[/tex]

Then we get,

[tex]& \therefore 3 u v(u+v)=3 \times 182=546 \\[/tex]

[tex]& (u+v)^3=u^3+v^3+3 u v(u+v) \\[/tex]

[tex]& (u+v)^3=728[/tex]

We then claim that, u + v = 9.

From (3) we have

[tex]& \mathrm{u}^3+\mathrm{v}^3=183 \\[/tex]

[tex]& \Rightarrow(\mathrm{u}+\mathrm{v})\left(\mathrm{u}^2+\mathrm{v}^2-\mathrm{uv}\right)=183 \\[/tex]

[tex]\Rightarrow(\mathrm{u}+\mathrm{v})\left(\mathrm{u}^2+\mathrm{v}^2\right)-\mathrm{uv}(\mathrm{u}+\mathrm{v})=183 \\[/tex]

[tex]&\Rightarrow(\mathrm{u}+\mathrm{v})\left(\mathrm{u}^2+\mathrm{v}^2\right)-182=183 \text { where } \mathrm{uv}(\mathrm{u}+\mathrm{v})=182 \\[/tex]

[tex]&\Rightarrow(\mathrm{u}+\mathrm{v})\left(\mathrm{u}^2+\mathrm{v}^2\right)=183+182=365 \\[/tex]

[tex]& \Rightarrow\left(\mathrm{u}^2+\mathrm{v}^2\right)=\frac{365}{(\mathrm{u}+\mathrm{v})}=\frac{365}{9}[/tex]

the necessary phrase follows

[tex]$=\frac{18}{5}\left(\mathrm{u}^2+\mathrm{v}^2\right)=\frac{18}{5} \times \frac{365}{9}=146$[/tex]

[tex]\therefore \frac{18}{5}(\mathrm{x}+\mathrm{y})=146[/tex]

The complete question is:

Suppose x and y are positive real numbers such that [tex]$\mathrm{x} \sqrt{\mathrm{x}}+\mathrm{y} \sqrt{\mathrm{y}}=183$[/tex] and [tex]$\mathrm{x} \sqrt{\mathrm{y}}=$[/tex] [tex]$\mathrm{y} \sqrt{\mathrm{x}}=182$[/tex] then value of [tex]$\frac{18}{5}(\mathrm{x}+\mathrm{y})$[/tex] is :

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Answer:

there were 19 two-person tents.

The quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

What is trapezoid?

A trapezoid, also known as a trapezium, is a flat closed shape having 4 straight sides, with one pair of parallel sides.

Given that, a quadrilateral QRST has vertices Q(−1,0), R(2,2), S(5,0), T(−1,−4).

We need tof verify that it is a trapezoid or not, we will find slopes of each side,

Slope = y₂-y₁ / x₂-x₁

Slope QR = 2-0 / 2+1 = 2/3

Slope RS = 0-2 / 5-2 = -2/3

Slope ST = -4-0 / -1-5 = 2/3

Slope QT = -4/0 = not defined

QR ║ ST

Since, two slope are equal therefore, the quadrilateral QRST is a trapezoid

Finding the distance between QS and TR

QS = √(5+1)²+(0-0)² = 6 units

TR = √(-1-2)²+(-4-2)² = √9+36 = √45 = 6.70

Since, QS ≠ TR, it is not an isosceles trapezoid.

Hence, the quadrilateral QRST is a trapezoid and not an isosceles trapezoid.

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If there are 25 new centenarians , then the best representation of the standard deviation for the ages of new centenarians will be (c) 0 .

The standard deviation is defined as the measure of the spread of a data set.

In this case, the data set consists of the ages of the 25 new centenarians. also given that all of the new centenarians are exactly 100 years old,

They invited 25 persons who recently turned 100 years old, that means majority of attendees will be between the ages of 100 and 102.

Since the majority of the data is centered around 100, the standard deviation will be zero or very close to it.

Therefore , the standard deviation of the data set is zero(0) .

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The given question is incomplete , the complete question is

A large retirement community wants to host a birthday party for its residents who recently became centenarians (a centenarian is someone who has lived 100 years). There are 25 new centenarians.

Which of the following best represents the standard deviation for the ages of the new centenarians ?

(a) 100

(b) 4

(c) 0

The distribution exists approximately normal, and the mean exists 0,46.

What is the sampling distribution of sample mean?

Regardless of sample size, if the population is normal at baseline, the sample mean will also have a normal distribution. For samples of any size taken from a population with a normal distribution, the sample mean has a normal distribution, with a mean of X and a standard deviation of X/n, where n is the sample size.

Initially, each sample proportion's sampling distribution needs to be almost normal, and then the samples need to be independent. The normal model can be used to accurately represent the sample distribution of ˆp1−ˆp2under these two circ*mstances.

The sample proportion's sampling distribution. The sample proportion is roughly normally distributed for large samples, with a mean of μˆP=pand a standard deviation of σˆP=√pqn. If the interval [p−3σˆp,p+3σˆp]falls entirely within the range [0,1], the sample is huge.

Therefore, the correct answer is option D) The distribution is approximately normal, and the mean is 0,46.

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If the probability of receiving the reward increases then, option (c) firing will increase for CS+ and decrease for US+

In classical conditioning, the conditioned stimulus (CS) becomes associated with the unconditioned stimulus (US) to produce a conditioned response (CR). The firing of neurons in the brain is closely related to the acquisition and expression of the CR.

If the probability of receiving the reward increases, the CS is more likely to be associated with the US and therefore more likely to elicit a CR. This means that firing will increase for the CS+.

However, the increase in the probability of the reward also means that the US becomes less informative because it is no longer a reliable predictor of the reward. As a result, the firing of neurons that respond to the US will decrease.

Therefore, firing will increase for CS+ and decrease for US+, which is consistent with option (c).

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The value of the variable x is 20

How to determine the value of the variable

It is important to note that the sum of the interior angles of a hexagon is expressed as;

(6-2)180

expand

720 degrees

Now, equate all the values to the total, we have;

120+ 7x + 8x -6 + 5x - 4 + 6x + 90 = 720

collect the like terms

7x + 8x + 5x + 6x = 720 - 120 + 6 + 4 - 90

Add or subtract the like terms, we get;

26x = 520

Now, make 'x' the subject of formula, we get;

26x/26 = 520/26

divide the values

x = 20

Hence, the value is 20

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a) Conclusion: You planted seeds in the spring.

Inference rules used: Modus Tollens

b) Conclusion: Your spacecraft is not in geostationary orbit around the Earth.

Inference rules used: Modus Tollens.

c) Conclusion: Today is Saturday.

Inference rules used: Disjunctive Syllogism.

d) Conclusion: I will always skip class.

Inference rules used: Disjunctive Syllogism.

(a) Premises:

If you harvest crops in the fall, then you planted seeds in the spring.

If you do not harvest crops in the fall, then an early frost killed all your crops.

There was no early frost.

Conclusion:

Therefore, you planted seeds in the spring.

Inference rules used: Modus Tollens

b) Premises:

If your spacecraft is in geostationary orbit around the Earth, then your spacecraft is above the equator and at an altitude of about 22,200 miles.

Your spacecraft is at an altitude of 5000 miles.

Conclusion:

Therefore, your spacecraft is not in geostationary orbit around the Earth.

Inference rules used: Modus Tollens.

c) Premises:

If today is not a weekday, then it is Saturday or Sunday.

It is not a weekday.

It is not Sunday.

Conclusion:

Therefore, today is Saturday.

Inference rules used: Disjunctive Syllogism.

d) Premises:

If it rains, then I will skip class.

If it is too cold, then I will skip class.

It is always either rainy or cold.

Conclusion:

Therefore, I will always skip class.

Inference rules used: Disjunctive Syllogism.

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The solution is, the vertex is (4,-9).

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

given that,

The quadratic function f (x)=x2 - 8x + 7

then, we have,

x = -b/2a

= 8/2

= 4

again,

y = 16 -8*4 +7

= 16 - 32 +7

= -9

Hence, The solution is, the vertex is (4,-9).

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