MATHEMATICS HIGH SCHOOL

Given the function, f(x) = 2x2 - x + 1, calculate the average rate of change of the function from x = 1 to x = 3.7
14
16
28

Answers

Answer 1
Answer:

Answer:

Option 1.

Step-by-step explanation:

The given function is

f(x)=2x^2-x+1

We need to find the average rate of change of the function from x = 1 to x = 3.

At x=1,

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

At x=3,

f(3)=2(3)^2-(3)+1=16

The average change of a function f(x)on the interval [a,b] is

m=(f(b)-f(a))/(b-a)

The average rate of change of the function from x = 1 to x = 3 is

m=(f(3)-f(1))/(3-1)

m=(16-2)/(2)

m=(14)/(2)

m=7

The average rate of change of the function from x = 1 to x = 3. Therefore the correct option is 1.
Answer 2
Answer: the answer to you question I think is 7

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Match the following problems with their answer, HELP ME PLEASE!!!!!

Answers

Answer:

1. 12.5%

2. 26%

3. 51

4. 16

Step-by-step explanation:

3/24=0.125 -> 12.5%

65/250=0.26 -> 26%

300*0.17=51

0.4*40=16

Which of the following is a polynomial with roots negative square root of 5, square root of 5, and 3?x3 − 2x2 − 3x + 6
x3 + 2x2 − 3x − 6
x3 − 3x2 − 5x + 15
x3 + 3x2 − 5x − 15

Answers

The polynomial with those roots would be: 

y = (x + √5)(x - √5)(x - 3) 
▬▬▬▬▬▬▬▬▬▬▬ multiply this out to get 
y = (x² - 5)(x - 3) 

y = x³ - 3x² - 5x +15

Answer:

The correct answer is the first one

Step-by-step explanation:

x3 − 2x2 − 3x +

Use the quadratic equation and you will get a polynomial with roots negative square root of 5, square root of 5, and 3

Which is bigger 8/10 or 79/100

Answers

To figure this out first we will convert each fraction in to a decimal. To do this we need to divide the numerator by the denominator. 

8/10 = 8 ÷ 10 = 0.80

79/100 = 79 ÷ 100 = 0.79

So, 8/10 = 0.80 & 79/100 = 0.79.

Since 0.80 is more than 0.79 8/10 is bigger.

So 8/10 (0.80) is bigger than 79/100 (0.79). 

Hope I helped ya!! :) 
you can say 8/10 = 80/100 ⇒ 80/100 is bigger than 79/100 :)))

Consider the system of linear equations.2y = x + 10

3y = 3x + 15






Which statements about the system are true? Check all that apply.


The system has one solution.


The system graphs parallel lines.


Both lines have the same slope.


Both lines have the same y-intercept.


The equations graph the same line.


The solution is the intersection of the 2 lines

Answers

The true statements about the system are:

Both lines have the same y-intercept.

The solution is the intersection of the two lines

How to explain the equation

To determine the properties of the system, we can manipulate the equations to a standard form, which is y = mx + b, where m represents the slope and b represents the y-intercept.

2y = x + 10

Divide both sides by 2:

y = (1/2)x + 5

3y = 3x + 15

Divide both sides by 3:

y = x + 5

Both lines have the same y-intercept. The y-intercepts of both equations are 5, so they share the same y-intercept.

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Final answer:

The system has one solution, both lines have the same slope and y-intercept, and the solution is the intersection of the two lines.

Explanation:

To determine which statements about the system of linear equations are true, we can analyze the equations. Let's start by putting both equations in slope-intercept form, y = mx + b.

  1. Equation 1: 2y = x + 10. Divide both sides by 2 to isolate y. We get y = 1/2x + 5.
  2. Equation 2: 3y = 3x + 15. Divide both sides by 3 to isolate y. We get y = x + 5.

From the equations, we can see that both lines have the same slope, which is 1/2. Therefore, the statements that are true are:

  1. Both lines have the same slope.
  2. Both lines have the same y-intercept.
  3. The solution is the intersection of the two lines. This means the system has one solution.

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Calculate {dx x2
A. 1/x+c
B.-1/x+c
C.1/3x3+c
D.-1/3x3+c

Answers

when you integrate x^n the result is (x^n+1)/n+1 +C
where n is the old power so the result will be (C)

The value of 7 is 200 percent of what number?

Answers

14. Multiply by 2.00, as u would in moving a decimal point 2 times to the right when converting a percent to a decimal.
1\%\cdot a= (1)/(100)\cdot a\n \n--------------------------\n200\%\cdot7= (200)/(100) \cdot 7=2\cdot 7=14\n \nAns. \ 14
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