If fx) = -3x - 5 and g(x) = 4x - 2, find (f - g)(x).

Answer:

Cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]

Step-by-step explanation:

We need to find a cubic polynomial function with zeros 3,3 and -3.

If zeros of polynomial are: 3,3,and -3

we can write:

x=3, x=3, x=-3

Or

We can write:

x-3=0, x-3=0, x+3=0

Now, we can write them as:

(x-3)(x-3)(x+3)=0

Multiplying the terms, we can find the polynomial:

[tex](x-3)(x-3)(x+3)=0\\(x(x-3)-3(x-3))(x+3)=0\\(x^2-3x-3x+9)(x+3)=0\\(x^2-6x+9)(x+3)=0\\x(x^2-6x+9)+3(x^2-6x+9)=0\\x^3-6x^2+9x+3x^2-18x+27=0\\x^3-6x^2+3x^2+9x-18x+27=0\\x^3-3x^2-9x+27=0[/tex]

So, cubic polynomial function with zeros 3,3 and -3 is [tex]\mathbf{x^3-3x^2-9x+27=0}[/tex]

Answer:

25

Step-by-step explanation:

a1 = 9

a2 = a1 + 4

a2 = 9 + 4

a2 = 13

a3 = a2 + 4

a3 = 13 + 4

a3 = 17

a4 = 21

a5 = 21 + 4

a5 = 25

This can more easily be done by using this formula

L = a1 + (n - 1) * d

a1 = 9

n = 5

d = 4

L = 9 + (5 -1)*4

L = 9 + 4*4

L = 9 + 16

L = 25

Answer:

centre = (3, - 7 )

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

(x - 3)² + (y + 7)² = 121 ← is in standard form

with centre = (h, k ) = (3, - 7 )

Answer:

7 1/2

Step-by-step explanation:

Because you have to keep, change, flip and it is positive because they both are negative

Can you mark me brainliest

Hey there!

The answer to your question is [tex]-2 \frac{3}{11}[/tex]

[tex]-2(4x+4) - 3x -2= 34[/tex]       Write the equation

[tex]-8x - 8 - 3x - 2 = 34[/tex]           Distribute -2

[tex]-11x-10 = 34[/tex]                      Combine like terms

[tex]-11x = 24[/tex]                              Add 10 to both sides

[tex]-2 \frac{3}{11}[/tex]                                         Divide both sides by -11

Hope it helps and have a great day!

Answer:

83, not -83

Step-by-step explanation:

absolute value is ALWAYS POSITIVE!!! remember that!

Answer:

[tex]\displaystyle 31[/tex]

Step-by-step explanation:

Angles Y and X form a linear pair, therefore you use the Linear Pair Theorem to solve for x:

[tex]\displaystyle 180° = [2s - 4]° + [s + 91]° → 180° = [87 + 3s]° → 93 = 3s; 31 = s[/tex]

I am joyous to assist you at any time.

Note: Origin point = (0,0).

[tex] \begin{cases}(x_1, y_1) = ( - 4, - 9) \\ (x_2, y_2) = ( 0, 0) \end{cases}[/tex]

[tex]m = \frac{y_2 - y_1}{x_2 - x_1} \\ m = \frac{0 - ( - 9)}{0 - ( - 4)} \\ m = \frac{0 + 9}{0 + 4} \Longrightarrow \frac{9}{4} [/tex]

[tex]y = mx + b \\ \begin{cases} \sf{m = slope} \\ \sf{b = y - intercept} \end{cases}[/tex]

Rewrite the equation by substituting m = 9/4 in the equation.

[tex]y = \frac{9}{4} x + b[/tex]

Because the graph passes through the origin point. That means the y-intercept is (0,0).

Therefore we rewrite the equation again to

[tex]y = \frac{9}{4} x + 0 \\ y = \frac{9}{4} x[/tex]

[tex] \large \boxed{y = \frac{9}{4} x}[/tex]

Answer:

209.6

Step-by-step explanation:

Answer:

209.6

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Answer:

41.4 im pretty sure

Step-by-step explanation:

Answer:

a. 66.8%

b. 0.855

Step-by-step explanation:

In a recent survey in a Statistics class,

Percentage of students that attended class on Friday = 60%

Percentage of students that did not attend class on Friday = 100 - 60% = 40%

Percentage of those who went to class on Fridays and passed the course = 98%

Percentage of those who did not go to class on Fridays and passed the course = 20%

a. What percentage of students is expected to pass the course?

This is calculated as:

= 60% × 98% + 40% × 20%

= 0.668

Converting to percentage

= 0.668 × 100

= 66.8%

b. Given that a person passes the course, what is the probability that he/she attended classes on Fridays?

We solve using Baye's Theorem

= [60 × 98%]/[60% × 98% + 40% × 20%]

= 0.588 /0.688

= 0.8546511628

Approximately = 0.855

Part(a): The required pass percentage is 66.8%

Part(b) The required probability is [tex]P(Friday/Pass)=0.8802[/tex]

Given that,

P(Friday) = 0.60, P(No Friday) = 0.40

[tex]P(Pass/Friday)=0.98\\P(Pass/No Friday)=0.98\\[/tex]

Part(a): The percentage of students expected to pass the course is 0.668.

[tex]P(Pass)=P(Friday)\times P(Pass/Friday)+P(No friday)\times P(Pass/No Friday)\\=0.60\times 0.98+0.40\times 0.20\\=0.588+0.08\\P(Pass)=0.668[/tex]

Part(b):

The probability that he/she attended classes on Fridays is 0.8802

[tex]P(Friday/Pass)=\frac{P(friday)\times P(Pass/Friday)}{P(Friday\times P(pass/Friday+P(No friday)\times P(pass/No friday)}\\=\frac{0.60\times 0.98}{0.60\times 0.98+0.40\times 0.20} \\=0.8802[/tex]

Learn More:https://brainly.com/question/23485751

Multiply the top by -2 and just cross elimination the rest. Hope this helps.

Answer:

B, C, F C:

Step-by-step explanation:

Answer:

468.4 meters

Step-by-step explanation:

Find the width of the rectangle.

The area of a rectangle is A=length*width. Substitute the values of length and area and solve for width.

A=length*width

8,400=140*width

60= width

Use the width of the rectangle to find the circumference of the semicircles. Since each semicircle is half of a​ circle, the perimeter of the two semicircles is equal to the circumference of one circle.

The circumference of a circle is equal to pi​d, where d is the diameter. The diameter of the semicircle is the same as the width of the rectangle.

​So, the diameter is 60 meters. Substitute the diameter into the formula for the circumference and simplify using 3.14 for pi.

≈188.4

(2 times 140)+ 188.4

​So, the perimeter of the track is 468.4 meters.

Answer:

initial velocity = 15 m/s

final velicity = 0 m/s

time required = 10sec

Formula is V = U + at

0 = 15 + a 10

-15 ÷ 10 = acc

acc = - 1.5 m/s^2

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Answer:

Step-by-step explanation:

Answer:

16/5 or 3 1/5 mile

Step-by-step explanation:

Because he is traveling at a same rate, 4/5*4= 16/5.

Answer:

[tex]\displaystyle no[/tex]

Step-by-step explanation:

We do not have enough information to use this theorem. We only have one side and two right angles marked. Hence, you have your answer.

I am joyous to assist you at any time.

Answer:

$2,456.70

Step-by-step explanation:

Answer:

m < 1 = 52

m < 3 = 52

Step-by-step explanation:

m < 8 = 128 therefore m < 4 = 128

1.) we know that m < 4 + m < 1 must equal 180

128 + m < 1 = 180

180 - 128 = m < 1

52 = m < 1

due to the position of m < 1 and m < 3, they are the exact same

Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.

Step-by-step explanation:

Answer:

a. Population -  1. the 52 water draws

b. Sample -  4. 7/52 lead measurements

c. Parameter -   2. 7 micrograms per deciliter

d. Statistic -  3. 5 micrograms per deciliter

Step-by-step explanation:

If the value is from a population, it is a parameter.

Otherwise, if the value is from a sample, it is a statistic.

A population is an entire group of people, or of something, while a sample is a small number of observations from this group.

In this question:

The entire population is the measures drawn from the 52 points in the city's system.

In the entire system, the average is no more than 7 micrograms per deciliter. This is a value from the entire population, so this is a parameter.

To found the average of 5 micrograms, she took 7 of these measurements. So the 7 measurements are the sample and the average os 5 micrograms is a statistic.

So the correct matching is:

a. Population -  1. the 52 water draws

b. Sample -  4. 7/52 lead measurements

c. Parameter -   2. 7 micrograms per deciliter

d. Statistic -  3. 5 micrograms per deciliter

Answer:

q

Step-by-step explanation:

Answer:

Step-by-step explanation:

1. k - 5

2. 31g

3. b - 43

4. u - 36

5. 15r

6. 21/q

7. 7 + j or j + 7

8. 33/n

9. a + 23

10. 44m

11. c + 15

12. 10 -f

13. 39/e

14. k - 29

15. s - 38

16. v + 28

17. x - 11

18. y + 26

Answer: x = 22

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer:

x =22

Step-by-step explanation: