I’m not sure and please explain how you got the answer pleaseee

Answer:

90

Step-by-step explanation:

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The polynomial of least possible degree having the graph as given is; f(x) = x³-8x²+x +42.

It follows from the graph that the roots of the polynomial are; -2, 3 and 7.

On this note, the factors of such polynomial are;

Hence; (x+2)(x-3)(x-7) = f(x)

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Answer:

f(-1) = 2-3(-1) +1

= 7

f(-3)= 2-3(-3)+1

= 12

f(-1) = -1-1

= -2

f(-3) = -3-1

= -4

Step-by-step explanation:

multiply 8 and the -3r + 7

8(-3r + 7 )

-24r + 56 is the area :)

The correct answer is $34900.

X : Average amount of loan of student debt by state .

X = N ( μ = $28500 , σ² = ( 3200 )² )

To find : What is the cutoff point that would place a state in top 2.5%

Let it be X

P( X > x ) = 0.025

P(X-μ/σ > X - 28500/3200) = 0.025

P(z >Z ) = 0.025

1 - P(z<Z ) = 0.025

P(z<Z ) = 0.975

φ(z) = 0.975

Z = φ⁻¹(0.975)

X - 28500/3200 = 1.96

X = 34772

i.e; P(X > 34772) = 0.025

Since, it is nearly equal to $34900 option b is correct.

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a) The mean of the data-set is of 2.

b) The range of the data-set is of 4 units, which is of around 4.3 MADs.

The mean of a data-set is obtained as the sum of all observations in the data-set divided by the number of observations in the data-set, which is also called the cardinality of the data-set.

The dot plot shows how often each observation appears in the data-set, hence the mean of the data-set is obtained as follows:

Mean = (1 x 0 + 5 x 1 + 3 x 2 + 5 x 3 + 1 x 4)/(1 + 5 + 3 + 5 + 1)

Mean = 2.

The range is the difference between the largest observation and the smallest, hence:

4 - 0 = 4.

4/0.93 = 4.3 MADs.

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Answer:

12 percent

Step-by-step explanation:

12 percent becaus.it was way to easy

Answer:

(-14.8504 ; 0.5644)

Step-by-step explanation:

Given the data:

Population 1 : 30 35 23 22 28 39 21

Population 2: 45 49 15 34 20 49 36

The difference, d = population 1 - population 2

d = -15, -14, 8, -12, 8, -10, -15

The confidence interval, C. I ;

C.I = dbar ± tα/2 * Sd/√n

n = 7

dbar = Σd/ n = - 7.143

Sd = standard deviation of d = 10.495 (using calculator)

tα/2 ; df = 7 - 1 = 6

t(0.10/2,6) = 1.943

Hence,

C.I = - 7.143 ± 1.943 * (10.495/√7)

C.I = - 7.143 ± 7.7074

(-14.8504 ; 0.5644)

the correct answer is negitive one hundred eighty (-180)

Answer:

The answer is: 4y(2x+y)

Step-by-step explanation:

Answer:

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

One full circle is:

Three times the same distance:

Answer:

Distance travelled = 565.2 m

Step-by-step explanation:

Formula of circumference,

→ C = 2πr = π × d

The circumference of circle is,

→ π × d

→ (22/7) × 60

→ 1320/7

→ 188.4

Distance traveled after 3 rounds,

→ C × 3

→ 188.4 × 3

→ 565.2 m

Hence, Andi covered 565.2 m.

Answer:c

Step-by-step explanation:

Answer:D g(x) stretches f(x) vertically by a factor of 3.

Step-by-step explanation: ape3

Answer:

C.

Step-by-step explanation:

Science questions are T/F. That's .5 or \(\frac{1}{2}\) chance to get it right.

7 questions. Each with a \(\frac{1}{2}\).

That's \((\frac{1}{2})^{7}\)  

\((\frac{1}{2})^{7}\) = \(\frac{1}{128}\) = .0078 = .008 rounded

English questions are multiple choice. 4 choices. That's .25 or \(\frac{1}{4}\)

3 questions. Each \(\frac{1}{4}\)

That's \((\frac{1}{4})^{3}\)

\((\frac{1}{4})^{3}\) = \(\frac{1}{64}\) = .0156 = .016 rounded

The probability of getting all questions correct is 0.004 which is lower than for science (0.016).

Science questions are said to have a 6 out of 6 correct answer range and a 0.5 chance of being answered properly.

So, P(6) = 0.5⁶

P(6) = 0.016

We are informed that there are 4 out of 4 correct answers for English, with a 0.25 chance of getting it right.

Thus; P(4) = 0.25⁴ = 0.004

Thus, we conclude that they will have to study English.

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Answer:

84

Step-by-step explanation:

Let x = the test

(x + x + ( x - 6))/3=82

((3x - 6)/3) • 3= 82 • 3

3x - 6 + 6 = 246 + 6

3x = 252

3        3

x = 84

Step-by-step explanation:

we need to divide 1450 by 3 to see how many miles should be driven each day to reach to goal in 3 days.

the wording seems to tell us we cannot use fractions of miles. we only can use whole miles.

1450 / 3 = 483.333333...

to be sure to reach Atlanta in 3 days when driving the same amount of miles every day, the minimum per day is then 484 miles per day (no fractions).

because 483 miles per day would give us only 1,449 miles in total and leave us 1 mile short of the target.

Answer:

c

Step-by-step explanation:

the surface area for spheres is

4 × π × r²

4 × π × (7²) = 196 π

Answer: B = 15 kph or 15 kph

step by step

(b-5)*10=(b+5)*5

10b-50=5b+25

5b=75

b=15 kph in still water

Answer:

the answer is D. F(x) = 1/x(x-3)

Step-by-step explanation:

Answer:)Angle FIH and GIE after keeping angle EIH at 140° is 40° while ∠FIG will is the opposite angle of ∠EIH so it will remain the same as 140°.

Step-by-step explanation:We need to intersect both lines and make ∠EIH > 135°

So,Let's keep ∠EIH = 140°

Then,∠FIG = 140° (opposite angle)∠FIH = ∠GIE = x (opposite angle)

Now,The Sum of all angles around I will be 360 degrees.

So,140 + x + 140 +  x = 360 ,2x + 280 = 360, 2x = 80 ⇒ x = 40°.

Answer:

cbe

Step-by-step explanation:

The angle whose measure is equal to the sum of the measures of ∠BAC and ∠BCA is ∠CBE, the correct option is B.

An angle is formed by two rays called the arms of the angle meeting at a common endpoint called the vertex of the angle.

The angle whose measure is less than 90 degree is called the acute angle, whose measure is equal to 90 degree is called right angle, the angle whose measure is greater than 90 degree is called obtuse angle.

The ∠BAC and ∠BCA are the interior angles of the triangle,

According to the theorem of exterior angle, The measure of the exterior angle is equal to the sum of the two opposite interior angles.

The sum of the angles, ∠BAC and ∠BCA is equal to the opposite exterior angle, i.e. ∠CBE

∠CBE =  ∠BAC + ∠BCA

Your question seems incomplete, the complete question is attached with the answer.

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Since Jim deposits $ 163.93 of his paycheck into his account and there has a balance of - $ 3.47, then he has in his account:

Therefore, Jim has $ 160.46 in his bank account after the deposit is made.

If f(x) = 6x-4 when x is 8, then f(x) = 44

Given that the expression of a function is f(x) = 6x-4

We need to find the value of f(x) when x is 8

Here, the input variable f(x) becomes f(8)

To evaluate f(8), we must substitute the value of 8 for the input variable p in the given function,

we get.,

f(x) = 6x - 4

f(8) = 6 * 8 - 4

f(8) = 48 -4

f(8) = 44

Therefore, for the given expression f(x) = 6x-4, if we give an input of x = 8, we have an output of 44 or f(8)= 44.

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Answer:

growth rate: 4

y-value: 19

equation: y=4x+19

Step-by-step explanation:

Growth Rate:
The growth rate of a linear function is constant. This means that the function will increase or decrease by the same amount for every unit increase in x.
This can be found by dividing the change in y-values by the change in x-values.

For the question:
The change in y-values is 11-7=4,

and the change in x-values is +1.

Therefore, the growth rate is 4.

\(\hrulefill\)

Initial Value: The initial value of a linear function is the value of the function when x is 0.

In this case, the initial value is 19.

This can be found by looking at the y-value of the point where x is 0.

In this case, the y-value is 19.

\(\hrulefill\)Equation: The equation of a linear function is y = mx + b, where m is the slope and b is the y-intercept.

Using the table you provided, we can find the slope by using two points on the line.

Let’s use (-3, 7) and (1, 23).

The slope is (y2-y1)/(x2-x1)=(23-7)(1-(-3)=16/4=4

Now,

Taking 1 point (-3,7) and slope 4.

we can find the equation by using formula:

y-y1=m(x-x1)

y-7=4(x+3)

y=4x+12+7

y=4x+19

Therefore, the equation of the given table is y=4x+19\(\hrulefill\)

Answer:

Growth rate:  4

Initial value:  19

Equation:  y = 4x + 19

Step-by-step explanation:

The slope of a linear function represents its growth rate.

Therefore, the growth rate of a linear function can be found using the slope formula.

Substitute two (x, y) points from the table into the slope formula, and solve for m.  Substituting points (0, 19) and (1, 23):

\(\textsf{slope}\:(m)=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{23-19}{1-0}=\dfrac{4}{1}=4\)

Therefore, the growth rate of the linear function is 4.

The initial value of a linear function refers to the y-intercept, which is the value of the y when x = 0.

From inspection of the given table, y = 19 when x = 0.

Therefore, the initial value of the linear function is 19.

To write a linear equation given the growth rate (slope) and initial value (y-intercept), we can use the slope-intercept formula, which is y = mx + b. The slope is represented by the variable m, and the y-intercept is represented by the variable b.

As the growth rate of the given linear function is 4, and the initial value is 19, substitute m = 4 and b = 19 into the slope-intercept formula to create the equation of the linear function represented by the given table:

\(\boxed{y=4x+19}\)

The absolute value of |-32| is 32; absolute value of |27| is 27; absolute value of |-12| is 12; absolute value of -|14| is -14.

The Absolute value |x| of a real number x is the non-negative value of x without regard to its sign.

|x| = x ; |-x| = x

Therefore absolute value of

|-32| = 32

|27| = 27

|-12| = 12

- |14| = - 14

Absolute value describes the distance from zero that a number is on the number line , without considering direction. The absolute value of a number is never negative. Sometimes a sign is attributed to a numeric value to signify the direction, in addition to the value.

The absolute value of a number is defined as its magnitude irrespective of the sign of the number.

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To find the combined rate of all the individuals working together, you must add the individual rates.

When calculating the combined rate of individuals working together, you need to add up the individual rates. Each worker contributes their own rate of work or productivity, and by adding these rates together, you can determine the combined rate at which they are working collectively.

This allows you to assess the overall efficiency and output of the team or group. By summing up the individual rates, we have better understanding of the overall productivity and performance of the group.

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Let’s solve the equation x^2 - 4x = 5 by factoring:

First, we’ll move all the terms to one side of the equation:

x^2 - 4x - 5 = 0

Now, we’ll factor the left side of the equation. We’re looking for two numbers that multiply to -5 and add to -4. Those numbers are -5 and 1. So we can write:

(x - 5) (x + 1) = 0

Now we’ll use the zero-product property to solve for x. This property states that if the product of two numbers is zero, then at least one of the numbers must be zero. So we have:

x - 5 = 0 or x + 1 = 0

Solving each equation separately, we find that x = 5 or x = -1.

So, the solutions to the equation x^2 - 4x = 5 are x = 5 and x = -1.

Answer:

parallel

Step-by-step explanation:

its c

Step-by-step explanation: