Find the average rate of change of the function f(x) = -1x^2-7x-8 over the interval (1, 3).

After analyzing, it can be concluded that the functions f and g are:

A. f(0) is larger than g(0).

B. f(3) is larger than g(3).

To determine which of the two functions is larger at any given point, one must compare the heights of the two functions at the same point on the x-axis. At point x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0).

Similarly, at point x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3).

To compare which of two functions is larger at any given point, we need to compare the heights of the two functions at the same point on the x-axis. For example, at x=0, the height of the f(x) function is larger than the height of the g(x) function, so f(0) is larger than g(0). The same comparison can be made at any other point on the x-axis.

For example, at x=3, the height of the f(x) function is larger than the height of the g(x) function, so f(3) is larger than g(3). This comparison can be done for any point on the x-axis, which will allow us to determine which of the two functions is larger at any given point.

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Answer:

y=1x-b is thou answer

Answer:

um yeah i have that question but it isnt right?

Step-by-step explanation:

I dont know why it didnt work :(

Step-by-step explanation:

x - 3y = 2

x=2+3y.....(1)

2x - 6y = 6

2(2+3y)-6y=6

it is not measurable.

Kevin's error is that he incorrectly identified the vertex of the parabola as (3, 2) instead of (2, 3), which resulted to the parabola opens downward. The correct vertex is at (2, 3) and the parabola opens upward.

You are correct that the vertex of the parabola can be determined using the equation f(x) = a(x - h)² + k, where the vertex is at (h, k). In this case, we have f(x) = -(x-2)² + 3, so the vertex can be found by setting x - 2 = 0, which gives x = 2. Plugging this value into the equation,

we get f(2) = -(2-2)² + 3 = 3, so the vertex is at (2, 3).

However, your reasoning for why h is positive is not correct. The expression x - h represents the horizontal distance from the vertex to any point on the parabola. So if x is greater than h, then the expression x - h will be positive, and if x is less than h, then the expression x - h will be negative. In this case, the vertex is at (2, 3), so we have h = 2. This means that any point to the right of the vertex will have a positive value of x - h, while any point to the left of the vertex will have a negative value of x - h.

Therefore, the correct explanation of Kevin's error is that he incorrectly identified the vertex as (3, 2) instead of (2, 3), and as a result, he also incorrectly concluded that the parabola opens downward. In fact, the parabola opens upward because the coefficient of the x² term, -1, is negative.

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Answer:

2 boxes

Step-by-step explanation:

8 cupcakes in 1 box = 16 cupcake in x box

We Take

16 ÷ 8 = 2 boxes

So, the answer is 2 boxes.

19.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (1 h 4) must not be equal to zero. Therefore, h cannot be equal to -4. So, the value(s) of h that make the matrix a consistent linear system is any value other than -4.

20.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (6 8 4) must not be equal to zero. Therefore, h does not affect the consistency of the system. The matrix is always consistent, regardless of the value of h.

21.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (1 -4 3) must not be equal to zero. Therefore, h does not affect the consistency of the system. The matrix is always consistent, regardless of the value of h.

22.For the matrix to be the augmented matrix of a consistent linear system, the determinant of the coefficient matrix (2 -3 -6) must not be equal to zero. Therefore, h does not affect the consistency of the system. The matrix is always consistent, regardless of the value of h.

In summary, in all four cases, h does not affect the consistency of the system, so the matrix is always consistent regardless of the value of h.

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Answer: Shade 6 pieces

Step-by-step explanation:

Because 2/5 of 15 is 6

A polynomial function for each set of zeros is f(x) = (x - 5)(x+3)(x -12), f(x) = (x - 4)(x -6)(x +1),f(x) = (x +2/5)(x -2).

What is  polynomial function?

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Suppose you are given that a polynomial f(x) has zeroes { a, b, c }

Then the polynomial, if it is known that it is cubic, is,

f(x) = (x - a)(x - b)(x - c)

For : 5,-3, 12

f(x) = (x - 5)(x+3)(x -12)

For : 4, 6, -1,0

f(x) = (x - 4)(x -6)(x +1)

For : - 2/5,2

f(x) = (x +2/5)(x -2)

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A polynomial function for each set of zeros is f(x) = (x - 5)(x+3)(x -12), f(x) = (x - 4)(x -6)(x +1),f(x) = (x +2/5)(x -2).

What is  polynomial function?

In an equation such as the quadratic equation, cubic equation, etc., a polynomial function is a function that only uses non-negative integer powers or only positive integer exponents of a variable. For instance, the polynomial 2x+5 has an exponent of 1.

Suppose you are given that a polynomial f(x) has zeroes { a, b, c }

Then the polynomial, if it is known that it is cubic, is,

f(x) = (x - a)(x - b)(x - c)

For : 5,-3, 12

f(x) = (x - 5)(x+3)(x -12)

For : 4, 6, -1,0

f(x) = (x - 4)(x -6)(x +1)

For : - 2/5,2

f(x) = (x +2/5)(x -2)

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using SOH CAH TOA

Tan 85.144 =h/130

h=tan 85.144*130

h=1530.19 fr

Answer:

14y(y+5)

Hope this helps!

Answer:

the answer is 14y(y+5)

Step-by-step explanation:

Answer:

16%

Step-by-step explanation:

First, find the z-score.

z = (x − μ) / σ

z = (6 − 7) / 1

z = -1

Use a chart, a calculator, or the empirical rule to find the probability.

Using the empirical rule:

P(Z < -1) = 0.5 − 0.34

P(Z < -1) = 0.16

The percentage is 16%

To calculate the share between two numbers, divide one variety by way of the opposite and multiply the end result by way of one hundred, e.g. (30 / 75) * 100. This indicates what percent the first number is of the second one, in the example - 30 is 40% of 75.

In mathematics, a percent is more than a few or a ratio expressed as a fragment of 100. It is regularly denoted using the percentage signal, "%", although the abbreviations "pct.", "pct" and from time to time "pc" also are used. A percentage is a dimensionless number; it has no unit of size.

First, discover the z-rating.

z = (x − μ) / σ

z = (6 − 7) / 1

z = -1

Use a chart, a calculator, or the empirical rule to discover the chance.

using the empirical rule:

P(Z < -1) = 0.5 − zero.34

P(Z < -1) = 0.16

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The probability of the Doubles" means both dice show the same number is 36.

When we don't know how an event will turn out, we can discuss the likelihood or likelihood of several outcomes. Statistics is the study of events that follow a probability distribution.

The probabilities of these two outcomes must be added in order to get the likelihood of rolling an even number or doubles, but since we have already tallied those outcomes twice, the probability of rolling both doubles and an even number must be subtracted. The probability of rolling doubles and an even number is 1/36 since rolling two sixes is the only method to get a double and an even number.

The likelihood of rolling an even number or doubles is thus:

The formula for P(even number or doubles) is P(even number) = P(even number) + P(doubles) - P(even number and doubles) = 1/2 + 1/6 - 1/36 = 19/36.

The odds of rolling an even number or two doubles are 19/36.

Therefore, the probability of the Doubles" means both dice show the same number is 36.

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As given that the number of yearly robberies in Springfield in 2013 was 180

And then went down by 40% in 2014.

So robberies were there in Springfield in 2014:

So robberies were there in Springfield in 2014 are 72

Answer:

$\($2.25\)

Step-by-step explanation:

Let \(b =\) the cost of one brownie, \(c =\) cost of one cookie

\(3b + 5c = 11\)

\(b+2c = 3.95\)

Times \(3\) on both sides on the second equation above to get the following:

\(3b + 6c = 11.85\)

\(3b+6c - (3b+5c) = 11.85-11\)

\(3b+6c-3b-5c = 0.85\)

\(c = 0.85\)

To find the value of \(b\), use substitution:

\(b+2c = 3.95\)

\(b = 3.95-2c\)

\(= 3.95 - 2\times0.85\)

\(= 2.25\)

\(\therefore\) the cost of a brownie is $\($2.25\)

Hope this helps :)

She made a mistake in multiplying 2x²+1 by -2x². which is the correct answer would be an option (B).

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

The rational expression is given in the question as:

\(\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}\)

Divide the leading term of the dividend by the leading term of the divisor:

\(=-2x^2+6x+\dfrac{2x^2-13x+2}{2x^2+1}\)

Write down the calculated result in the upper part of the table.

Multiply it by the divisor

\(=-2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

\(\mathrm{Long\:division}\:\dfrac{\left(-4x^4+12x^3-7x+2\right)}{2x^2+1}:\quad -2x^2+6x+1+\dfrac{-13x+1}{2x^2+1}\)

Thus, Jason made a mistake in multiplying 2x²+1 by -2x².

Hence, the correct answer would be option (B).

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Answer:

2 cm^3

Step-by-step explanation:

4/5 x 3/2 x 5/3 = 2

Hope this helps!

Answer:

4/5 x 5/3 x 3/2 = 2cm3

Step-by-step explanation:

The 3 is the unit

The length of side AD is,

⇒ AD = 16

We have to given that;

The given figure is a right triangular prism.

In the prism:

• DF = 22 in.

• EG = 11 in.

• Volume of the prism = 1936 cubic in.

Since, Volume of right triangular prism is,

V = 1/2 (bh) x L

Substitute all the values we get;

V = 1/2 (22 × 11) × AD

1936 = 121 × AD

AD = 16

Thus, The length of side AD is, 16

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Answer:

C.

Step-by-step explanation:

The slope-intercept equation is y = 4x + 2 when the slope is 4 and y-intercept is at (0, 2).

We are given that:

We have to find the slope-intercept equation.

As we have slope and a y-intercept, let us find the slope-intercept form of the given equation.

Slope-intercept form → \(y=mx+b\)

Where m is slope and b is the y-intercept of the equation.

Here, in our problem, \(\text{m}=4 \ \text{and} \ \text{b}=(0,2)\)

Now, we get

\(\text{y} = 4\text{x} + \text{b}\)

\(\text{y} = 4\text(0) + \text{b}\)

\(4=0 + \text{b}\)

\(\text{b}=2\)

\(\rightarrow\bold{ y = 4x + 2 }\)

Hence, the slope-intercept equation is y = 4x + 2.

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The value of VW is determined by finding the hypotenuse of a triangle, which is VW=33.

The simplest definition of "hypotenuse" is "the longest side of a right triangle." The opposing side of the triangle's right angle is called the hypotenuse. Additionally, it is the triangle's longest side.

You cannot apply trigonometry with a triangle's right angle if the hypotenuse is the opposite. If this is the case, you are contemplating the incorrect angle. Take a look at a different perspective. As the neighbouring angle, this is. It will be the side that does not make that angle that will be opposing.

VW^2=WX . XY

VW^2=3 . 9

VW=√(3.9)

VW=3√3

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For the initial fee, Bob charges less than Ginny.

A unit rate means a rate for one of something.

Given that Ginny charges by uses the function f(x)=60x+80 where x represents the number of hours of labour.

Ginny initial charge = $80

Bob initial charge =$60

Hence, For the initial fee, Bob charges less than Ginny.

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The following answer is 171

Given:

There is a equation given as

Required:

We need to solve the given equation by factorization

Explanation:

By factorization

Final answer:

x=4,8

Answer:

870.4 maybe???

Step-by-step explanation:

Answer:

16cm=200.96

12cm=113.04

Answer:

Step-by-step explanation:

Since it is a square, a line from one corner to the other cuts the right angles in half.  this is only because it is a square, if you don't see why I can explain.

Since each right angle is cut in half each smaller angle on the corners is 45 degrees.

ABD is one of those cut in half angles, specifically  from the right angle ABC.  So it is 45 degrees

Answer:

The equation is given below as

Step 1:

Cross multiply

Step 2:

Collect similar terms

Hence,

The value of x is