Subtract.
The difference is?

The average rate of change for the quadratic function x²+2x+3 from x=−2 to x = 5 is 5.

A slope is also known as the gradient of a line or the average rate of change of a number that helps to know both the direction and the steepness of the line.

The rate of change of any function is the slope of the function, therefore, the slope of the function is written as,

[tex]m = \dfrac{y_2 - y_1}{x_2-x_1}[/tex]

As the value of the y is the function of the x, while the value of x is given, therefore,

[tex]x_2 = 5\\x_1=-2\\\\[/tex]

Now, the value of y,

[tex]y_2 = f(5) = x^2 +2x+3 = (5)^2+2(5)+3 = 38\\y_1 = f(-2) = x^2 +2x+3 = (-2)^2+2(-2)+3 = 3[/tex]

Substituting the value of x and y in the formula of the slope, we can write the slope as,

[tex]m = \dfrac{y_2-y_1}{x_2-x_1}\\\\m = \dfrac{f(x=5) - f(x=-2)}{5-(-2)}\\\\m = \dfrac{38-3}{7}\\\\m= 5[/tex]

Hence, the average rate of change for the quadratic function x²+2x+3 from x=−2 to x = 5 is 5.

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Answer:

whts the question 86

Step-by-step explanation:

i dk

Answer:

Because N is the midpoint of the two diagonals so the quadrilateral must be a parallelogram

Answer:

Step-by-step explanation:

XN = NZ  & NY = NW

This shows that diagonals XZ & WY bisect each other.

So, this quadrilateral is a  parallelogram.

The value of logarithm function log₀.₅ 462 around the four decimal places is -8.8517.

Logarithms are another way of writing exponent. A logarithm with a number base is equal to the other number. It is just the opposite of the exponent function.

The expression is [tex]\rm log _{\frac{1}{2}} 462[/tex].

We know the formula of a logarithm.

[tex]\rm log_ab = \dfrac{log\ b}{log\ a}[/tex]

Then we have

[tex]\rm log _{\frac{1}{2}} 462 = \dfrac{log\ 462}{log\ \frac{1}{2}}\\\\\\log _{\frac{1}{2}} 462 = \DFRAC{2.66464}{-0.3010299}\\\\log _{\frac{1}{2}} 462 = -8.852[/tex]

Thus, the value of [tex]\rm log _{\frac{1}{2}} 462[/tex] is -8.8517.

More about the logarithm link is given below.

https://brainly.com/question/7302008

Answer:-8.8517

Step-by-step explanation:

Answer:

60%

Step-by-step explanation:

Put the percentages into decimal form and multiply by the 20. When you do this to the 60%, you get what they say the final total is, 12

Answer:

Step-by-step explanation:

the mismimostt plain and simple answer is that it's 60%

hope this helps :)

Answer:

x=25.5

Step-by-step explanation:

x + 9.5 = 35

Using the subtraction property of equality, we can subtract 9.5 from both sides:

x + 9.5 - 9.5 = 35 - 9.5

x=25.5

The required solution of the given equation is given as x = 25.5.

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

Here,
Given expression,
x + 9.5 = 35

Subtract 9.5 from both sides.
x = 35 - 9.5
x = 25.5

Thus, the required solution of the given equation is given as x = 25.5.

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Answer:

False

Step-by-step explanation:

plz mark me the brainiest

The segments AC, CB, and AB can form a triangle, and the statement is true.

A triangle is a three-sided polygon that consists of three edges and three vertices.

Given that AC=9 cm, CB= 8cm and AB=15cm

The segments AC, CB, and AB satisfy the triangle inequality, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.

AC + CB = 9cm + 8cm = 17cm, which is greater than AB = 15cm.

Similarly, AC + AB = 9cm + 15cm = 24cm, which is greater than CB = 8cm. CB + AB = 8cm + 15cm = 23cm, which is also greater than AC = 9cm.

Therefore, the segments AC, CB, and AB can form a triangle, and the statement is true.

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Answer:

85/4

Step-by-step explanation:

21 1/4 = 85/4

8.333 is the answer, divide 25 with 3

Answer:

Step-by-step explanation:

hypotenuse^2=alt^2+base^2

(a)^2=x^2+x^2

a^2=2x^2

a=√2x^2

a=x√2 cm.

Answer:

hypotenuse^2=alt^2+base^2

(a)^2=x^2+x^2

a^2=2x^2

a=√2x^2

a=x√2 cm.

Step-by-step explanation:

Answer:

  d = 15

Step-by-step explanation:

Divide the numbers

[tex]\frac{20}{16} =\frac{d}{12}[/tex]

[tex]\frac{5}{4} =\frac{d}{12}[/tex]

Multiply all terms by the same value to eliminate fraction denominators

[tex]12*\frac{5}{4} =12*\frac{d}{12}[/tex]

Cancel multiplied terms that are in the denominator

[tex]12*\frac{5}{4} =d[/tex]

Multiply the numbers

[tex]15=d[/tex]

Move the variable to the left

[tex]d=15[/tex]

Hence, d= 15.

[RevyBreeze]

Slope=y2-y1/x2-x1

so substitiuting the value of y2 y1 x2 and x1 we get answer 1/12

Answer:

The value of angle is 40 degrees

The value of angle P is 140 degrees

Therefore,

∠S = x + 15

∠p = 6x - 10

2(x + 15) + 2(6x - 10)  = 360

2x + 30 + 12x - 20 = 360

14x + 10 = 360

14x = 350

x = 350 / 14

x = 25 degrees

∠S = x + 15 = 25 + 15 = 40 degrees

∠p = 6x - 10 = 6(25) - 10 = 150 - 10 = 140 degrees

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Hey there!

6s^2 or 6s2

= 6(7)^2 or 6(7)(2)

= 6(7 * 7) or 42(2)

= 6(49) or 84

= 294 or 84

Possible answer #1: 294

Possible answer #2: 84

We will just that your answer is: 294

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Answer:

0 < x ≤ 11

Step-by-step explanation:

perimeter = (x - 6) + (x - 6) + x + x

⇒ perimeter = 4x - 12

If the perimeter is "at most 32" then

4x - 12 ≤ 32

⇒ 4x ≤ 44

⇒ x ≤ 11

Therefore,  0 < x ≤ 11

Answer:

vertical angles - angle 4 and angle 2

complementary angles - angle 2 and angle 3

supplementary angles- angle 2 and angle 1

Answer:

M

Step-by-step explanation:

B is the y-intercept, and obviously it couldn't be that. M is the slope, 200% sure. That wasn't a typo either lol.

Answer:

A + 9 = 15

Step-by-step explanation:

given:

A + B = 15

if B is given 9, put it into the equation.

A + B = 15

A + 9 = 15

A = 15 - 9

A = 6

Answer:

  155°

Step-by-step explanation:

The obtuse angle of the large (outside) triangle is the supplement of 60°, so is ...

  180° -60° = 120°

The angle x is the sum of the remote interior angles of that large triangle:

  x = 35° +120° = 155°

__

Check

The other acute angle in the smaller (left) right triangle is 90° -35° = 55°. Then the top acute angle in the larger (bottom, right) right triangle is ...

  180° -55° -60° = 65°

The other acute angle in that triangle is 90° -65° = 25°. It is supplementary to angle x. Hence angle x is 180° -25° = 155°, as above. (Note that x is also the sum of 90° and 65°, the remote interior angles of the nearest right triangle to x.)

ANSWER:

y=2x-3

HOPE IT HELPS

Step-by-step explanation:

Add the system of equations each one by one.

I added them all downwards until i found the 4th one to be correct

y = 2x - 3

y = 2x - 3

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

2y = 4x - 6

y = 2x - 3.

To find the value of y in each coordinates given above, substitute their respective x values.

1......y = 2(5) - 3

= 10 - 3

= 7.

2......y = 2(8) - 3

= 16 - 3

= 13.

then write the value you substituted in x on the left side of each bracket & the value you got when you substituted them on the right.

(5 , 7) (8 , 13)

The coordinates of the point (-1,0) after a translation 5 units to the right?

To get the coordinates of the point 1,0 after a translation 5 units to the right

The point's x-coordinate will rise by 5 units after being moved 5 units to the right, while the y-coordinate stays the same.

The starting point was at (-1, 0).

Increasing the x-coordinate by 5 units:

x-coordinate changed: -1 + 5 = 4.

Therefore, after being moved 5 units to the right, the point's new coordinates are (4, 0).

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Answer:

(-4, 5)

Step-by-step explanation:

Hi there!
We are given the following system:
x+11y=51

3x+5y=13
And we want to solve it by substitution.
When we solve a system by substitution, we want to solve one of the equations for a variable; the variable should equal an expression containing the other variable. Then, we substitute that expression into the other equation as the variable we solve for, solve for that variable, and then use the value of the solve variable to find the value of the first variable

It's easier to solve for a variable if the leading coefficient in front of that variable is 1, like with x in the first equation (x+11y=51)
To solve this equation for x, we can subtract 11y from both sides.

x+11y=51

  -11y   -11y

_____________
x=51-11y
Now substitute 51-11y as x in 3x+5y=13:

3(51-11y)+5y=13

Multiply

153-33y+5y=13

Combine like terms.

153-28y=13

Subtract 153 from both sides

-28y=-140

Divide both sides by 28

y=5
Now substitute 5 as y in 51-11y to solve for x.

x=51-11y

x=51-11(5)
multiply

x=51-55

Subtract

x=-4

The answer is x=-4, y=5, or as a point, (-4, 5)
Hope this helps!

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Answer:

Emily would earn a total of $6 after biking 15 miles.

Step-by-step explanation:

0.75 x ___ = 15

0.75 x 20 = 15

0.30 x 20 =  6

Answer:

Agency A:  y = 12x

So Agency A pays a rate of $12 per hour

Agency B:  y = 10x + 20

So Agency B pays an initial fee of $20 plus a rate of $10 per hour.

Step-by-step explanation:

Agency A

To create a straight line equation for the data in table, use  [tex]y = mx + b[/tex], where m is the slope and b is the y-intercept.

To find the slope m, take 2 points from the table and use the slope formula.

Let [tex](x_1,y_1)[/tex] = (3, 36)

Let [tex](x_2,y_2)[/tex] = (5, 60)

Slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{60-36}{5-3}=12[/tex]

Now use the point-slope formula to create the final equation:

[tex]y-y_1=m(x-x_1)[/tex]

[tex]\implies y-36=12(x-3)[/tex]

[tex]\implies y=12x[/tex]

Therefore, Agency A pays a rate of $12 per hour.

Agency B

From inspection, the function is a straight line.

Therefore we can use the straight line equation [tex]y = mx + b[/tex],

where m is the slope and b is the y-intercept.

From inspection, we can see that the line crosses the y-axis at (0,20).  Therefore, the y-intercept is 20.

[tex]\implies y=mx+20[/tex]

Taking 2 points on the line and using the slope formula to find the slope m:

Let [tex](x_1,y_1)[/tex] = (0, 20)

Let [tex](x_2,y_2)[/tex] = (3, 50)

Slope formula: [tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{50-20}{3-0}=10[/tex]

Therefore, the final equation is:  [tex]y=10x+20[/tex]

Therefore, Agency B pays an initial fee of $20 plus a rate of $10 per hour.

Answer:

12 apples

Step-by-step explanation:

apples basked into a pie = 2/3 * 18 = 12

Answer:

51

Step-by-step explanation:

[tex]\frac{w-3}{7} + 2w[/tex]

[tex]\frac{24-3}{7} + 2(24)[/tex]

[tex]\frac{21}{7} + 48[/tex]

[tex]3 + 48[/tex]

51

Answer:

51

Step-by-step explanation:

24-3=21; 2x24=48; 21/7+48= 51

I Hope this helps! :D

Answer: 36 + 4v

Step-by-step explanation:

4*9 = 36, 4*v = v

like this

you need to move the line at 2 hrs 15 to 5 hrs 15 and then adjust all your lines that connect them

Answer:

x^3-2x^2-28x-16 is the answer