Eric and Simon each go for a morning jog before work. Eric's jogging
pace is represented by the equation y=6x, where y is the number of
miles he jogs and x is the number of hours he jogs. Simon's pace is
given by the graph. Choose the statement that correctly compares their
unit rates.

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Answer:

I hope it helps . For any clarification , Please notify me through the comment section .

Step-by-step explanation:

[tex]f(x) = 3x-5\\g(x) = 2(x-1)\\ \\g(-3) = 2(-3-1)\\g(-3) = 2(-4)\\g(-3) = -8\\\\f[g(x)] = f(2(x-1)\\f[g(x)] = 3[2(x-1)]-5\\f[g(x)] = 3[2x-2]-5\\f[g(x)] = 6x-6-5\\f[g(x)] = 6x-11\\\\g[f(x)] = g[3x-5]\\g[f(x)] = 2[3x-5-1]\\g[f(x)] = 6x -10-2\\g[f(x)] = 6x -12[/tex]

Answer:

The interpretation of that same problem is listed throughout the section below on explanation.

Step-by-step explanation:

Interpretation:

So that the above is the right answer.

Answer:

what is this I don't kno!

The answer is  A and B

Answer:

a b

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]f(x)=\dfrac{x^2-36}{x+6}= \\\\\\\dfrac{(x-6)(x+6)}{x+6}= \\\\\\(x-6) \\\\\\f(-6)=((-6)-6)=-12[/tex]

Therefore, the correct answer is choice A. Hope this helps!

Answer:

=-12

Step-by-step explanation:

f(x) = (x^2-36)/(x+6)

Factor the numerator.  The numerator is the difference of squares  

(a^2 -b^2) = (a-b)(a+b)

f(x) = (x-6)(x+6)/(x+6)

Cancel the like terms

f(x) = x-6

f(-6) = -6-6

       = -12

Answer:

GAS=IOL by rule ASA

Step-by-step explanation:

Answer

GAS = IOL

rule is ASA

Step-by-step explanation:

Answer:

Central Angle OPQ = Arc OQ = 82°

5x - 3 = 82°

5x = 85°

x = 17 degrees

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Given the 2 equations

6x + 3y = 9 → (1)

2x + 3y = 1 → (2)

Subtracting the 2 equations term by term eliminates the y- term

Subtract (2) from (1) term by term, that is

(6x - 2x) + (3y - 3y) = 9 - 1

4x = 8 ( divide both sides by 4 )

x = 2

Substitute x = 2 into either of the 2 equations and evaluate for y

Substituting into (2)

2(2) + 3y = 1

4 + 3y = 1 ( subtract 4 from both sides )

3y = - 3 ( divide both sides by 3 )

y = - 1

The solution is x = 2, y = - 1 → A

Answer:

4

Step-by-step explanation:

2x - 1 = 7

2x = 8

x = 4

Answer

would it be 135?

Step-by-step explanation:

Answer: 10 cups

Step-by-step explanation:

10 tortillas = 4 cups

25 tortilas = 25/10 x 4 = 10 cups

Answer:

10 cups

Step-by-step explanation:

Let's use a ratio:

cups : tortillas

   4    :     10

   2    :      5

  10    :     25

Stephanie needs 10 cups of flour.

Answer:

x = -58.3

Step-by-step explanation:

6x - 15 + 365 - simplifly terms

6x + 350 = set to equal sides

6x = -350

x = -58.3

Answer:

B. The endpoint of the dilated line is (-2,4),(6,8)

Step-by-step explanation:

Given

Line segment AB

Endpoints: A(-3,6) and B(9,12)

Scale Factor: 2/3 about the origin

Required

Find the end points of the dilated line

From the question, we understand that the line segment is dilated about the origin;

The keywords about the origin implies that, to get the endpoints of the dilated line, we simply multiply the coordinates of of the original line by the scale factor;

This is shown below;

[tex]For\ A = (-3,6);[/tex]

The new endpoints become

[tex]A' = \frac{2}{3} A[/tex]

[tex]A' = \frac{2}{3} (-3,6)[/tex]

[tex]A' = (\frac{2}{3} * -3, \frac{2}{3} * 6)[/tex]

[tex]A' = (\frac{2* -3}{3}, \frac{2 * 6}{3})[/tex]

[tex]A' = (\frac{-6}{3}, \frac{12}{3})[/tex]

[tex]A' = (-2, 4)[/tex]

[tex]For\ B = (9, 12);[/tex]

The new endpoints become

[tex]B' = \frac{2}{3} B[/tex]

[tex]B' = \frac{2}{3} (9, 12)[/tex]

[tex]B' = (\frac{2}{3} * 9, \frac{2}{3} * 12)[/tex]

[tex]B' = (\frac{2* 9}{3}, \frac{2 * 12}{3})[/tex]

[tex]B' = (\frac{18}{3}, \frac{24}{3})[/tex]

[tex]B' = (6, 8)[/tex]

Hence, the endpoint of the dilated line is (-2,4),(6,8)

Answer:

3/2

Step-by-step explanation:

Answer:IDK

Step-by-step explanation:

Ummm I don’t think so

Answer:

1. [tex]x=3[/tex]

2. [tex]1[/tex]

3. [tex]x=11[/tex]

Step-by-step explanation:

[tex]1.\\\frac{x}{5}=\frac{12}{20}\\\\x=3\\\\\\2.\\-1\frac{3}{5}*(-\frac{5}{8})=\\\\-\frac{8}{5}*(-\frac{5}{8})=\\\\-(-\frac{40}{40})=\\\\-(-1)=\\\\1\\\\\\3.\\\frac{x}{14}=\frac{55}{70}\\\\x=11[/tex]

Answer: B- A(n) = P+(n-1)i•P, where n is a positive integer

Step-by-step explanation:

Answer: It is B have a nice day

Step-by-step explanation:

Answer:

m= 1/2

Step-by-step explanation:

Not sure if this is right but I hope this helps :)

Answer:

1/4

Step-by-step explanation:

We can see that two points on the line are (0, 4) and (4, 5). Using the slope formula (y₂ - y₁) / (x₂ - x₁) we get (5 - 4) / (4 - 0) = 1/4.

Answer:

AnSwEr Is C

Step-by-step explanation:

in khAN

The value  -16.5 tells us the displacement between his current position and his initial position.

Displacement is defined as the minimum distance between two points. It is a vector quantity and needs direction with magnitude.

It is given that

Initial position =14.2 m

Final position=-2.3 m

14.2+(16.5)=-2.3

To understand this, we need to first calculate the displacement between his initial and final position

Displacement = Final pposition - Initial position

Displacement= -2.3-14.2

Displacement =-16.5 m

So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)

To know more about Displacement follow

https://brainly.com/question/248054

Answer:

C

Step-by-step explanation:

The original price p is reduced by 3000 to obtain the new price

Answer:The volume of the pyramid = (1/3)*area of base *height

= (1/3)*10*24*13 = 1040 cubic units.

The total surface area = area of rectangular base + area of 2 isosceles triangles with a base of 24 units + area of 2 isosceles triangles with a base of 10 units.

Area of rectangular base = 24*10 = 240 sq units.

solve: [tex]\frac{10}{x}[/tex] = 2

Answer:

a. x= 5

Step-by-step explanation:

To solve the question given, we will follow the steps below;

[tex]\frac{10}{x}[/tex] = 2

multiply x to both-side of the equation

[tex]\frac{10}{x}[/tex] × x= 2× x

at the left-hand side of the equation, x will cancel-out x, leaving us with 10

10 = 2x

divide both-side of the equation by 2

10/2 = 2x/2

at the right-hand side of the equation, 2 at the numerator will cancel-out 2 at the denominator leaving us with just x, while on the left-hand side of the equation, 10 will be divided by 2

5 = x

x=5

Answer:

a

Step-by-step explanation:

Answer:

[tex]-4x^3-4x^2+12[/tex]

Step-by-step explanation:

Simplify:

[tex]-4x^3-4x^2+12[/tex]

Answer:

The sine and cosine functions are similars in:

   They are periodic functions with a period of 2π.

   The domain of each function is (−∞,∞) and the range is [−1,1]. Both has maxima in 1 and a minimal in -1.

Answer: 9

Step-by-step explanation: Here, we have the expression 4x - 7 and we want to evaluate the expression when x is equal to 4.

To evaluate an expression, we simply plug the value

of the variable into the expression and solve.

So here, since x is equal to 4, we have 4(4) - 7.

4(4) is equal to 16.

So we have 16 - 7 which is equal to 9.

So the value of our expression when x is equal to 4 is 9.

Answer:

9

Step-by-step explanation:

4x - 7 ( x=4)

4 × 4 - 7

16 - 7

9

Answer:

Proved

Step-by-step explanation:

Given:

To Prove: m∠AEB = 45°

From the diagram, ∠CED is a right angle, which measures 90 degrees.

Since the measure of a straight angle is 180°, the measure of Angle AEC must also be 90° by the Linear Postulate.

A bisector cuts the angle measure in half.

Therefore m∠AEB = 45°.

Answer:

answer below.

Step-by-step explanation:

Answer:

2:53

Step-by-step explanation:

I believe that you are subtracting times here, so have in mind that if the first number indicates hours, and the second number minutes, and you are asked to subtract more of one quantity (minutes for example) than what you have, you will need to convert some of the hours into minutes.

Recall that 1 hour equals 60 minutes.

in the difference   4:08 minus 1:15, you sre expected to subtract minutes from minutes and hours from hours. Now the number of minutes you need to subtract from 08 is 15 (larger than 08) so we need to convert 1 hour into minutes in the first expression, and then (with enough minutes to deal with), we can subtract:

4:08 is the same as 3:68 where we converted 1 hour to 60 minutes and added those 60 minutes to the existing 8 .

Now the difference can be performed:

3:68 - 1:15 = (3-1):(68-15) = 2:53

Answer:

X'' (-4, 8)

Y'' (-6, 8)

Z'' (-6, 16)

Step-by-step explanation:

The rule for reflecting across the y-axis is (x, y) -> (-x, y)

When you dilate by a scale factor of 2 about the origin, multiply each coordinate point by 2.

X (2, 4) -> (-2, 4) -> (-4, 8)

Y (3, 4) -> (-3, 4) -> (-6, 8)

Z ( 3, 8) -> (-3, 8) -> (-6, 16)

Answer:

A. either the good remains unsold or the price drops

Answer:

The measure of ∠MCK is 45°

Step-by-step explanation:

The parameters given are;

ΔABC with hypotenuse side AB

Let AB = x

BC = y

AC = z

∴ x² = y² +  z²

∠BCM = ∠CMB  (Base angles of isosceles triangle ΔBMC)

Similarly, ∠ACK = ∠AKC (Base angles of isosceles triangle ΔKAC)

∴ ∠BCM + ∠CMB + ∠CBM = 180° (Sum of interior angles in a triangle)

Hence, 2 × ∠BCM + ∠CBM = 180°........(1)

Similarly, 2 × ∠ACK + ∠CAK = 180°......(2)

Hence, 2 × ∠BCM + ∠CBM = 2 × ∠ACK + ∠CAK

However, ∠CBM + ∠CAK + 90° = 180° (Sum of angles in right triangle ΔABC)

∴∠CBM + ∠CAK = 180° - 90° = 90°

Adding equations (1) and (2), we have;

2 × ∠BCM + ∠CBM + 2 × ∠ACK + ∠CAK = 180° + 180° = 360°

Which gives;

2 × ∠BCM + 2 × ∠ACK + ∠CBM + ∠CAK = 360°

Where;

∠CBM + ∠CAK = 90°, we have;

2 × ∠BCM + 2 × ∠ACK + 90° = 360°

∴ 2 × ∠BCM + 2 × ∠ACK = 360° - 90° = 270°

∠BCM + ∠ACK = 270°/2 = 135°

∠BCM = ∠CMB

∴ ∠CMB + ∠ACK = 135°

Also, ∠CMB = ∠CMK and ∠ACK = ∠MCK

Hence, ∠CMK + ∠MCK  = 135°

However, ∠CMK + ∠MCK + ∠MCK = 180° (Sum of interior angles in a triangle)

Which gives;

∠CMK + ∠MCK + ∠MCK = 135° + ∠MCK = 180°

∴ m∠MCK = 180° - 135° = 45°.

The measure of ∠MCK, m∠MCK = 45°.