What is the value of x in the equation 3x − 5 = x + 7?

Answer:

This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.

One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.

Step-by-step explanation:

From the given function in terms of D the elevation of the car above sea

level can be determined.

Responses:

Given:

The function that gives the elevation of the car above sea level, from the top of the hill is given as follows;

Elevation above sea level = 7500 - 250·D

Where;

0 ≤ D ≤ 6

Required:

The meaning of the slope and intercepts of the graph of the function.

Solution:

From the given linear function, of the elevation of the car, we have;

Learn more about linear functions here:

https://brainly.com/question/4025726

Given:

The expression is

[tex](-8)^3\cdot (-8)^4[/tex]

To find:

The expression in repeated multiplication form and then write the expression as a power.

Solution:

We have,

[tex](-8)^3\cdot (-8)^4[/tex]

The repeated multiplication form of this expression is

[tex]=[(-8)\cdot (-8)\cdot (-8)]\cdot [(-8)\cdot (-8)\cdot (-8)\cdot (-8)][/tex]

[tex]=(-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex]

Clearly, (-8) is multiplied seven times by itself. So,

[tex]=(-8)^7[/tex]

Therefore, the repeated multiplication form of the given expression is [tex](-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)\cdot (-8)[/tex] and the expression as single power is [tex](-8)^7[/tex].

Answer:

the answer is of this question R = 10

Answer:

The answer is 6%

Step-by-step explanation:

[tex]65.99 - 59.99 = \frac{6 \times 100}{100} = 6\%[/tex]

Step-by-step explanation:

1 rst. 2 x2-5x-15 da 18 rest

Answer:

The slope would be 5/3

Step-by-step explanation:

Let me know if u have to simplify it

Answer:

5(8+4)=60

Step-by-step explanation:

To find the answer answer each one to get 60

A. 8(5+4)=64

B. 4(8+5)=52

C. 5(9+3)=60

D. 5(10+1)=55

So that means C is correct.

Answer:

The square root of -16 is 4 i

Answer:

You can't but if it was 16, not -16 it will be 4.

Step-by-step explanation:

Answer:

cos α = 8/17

Apply Pythagoras theorem for triangle ,

Let get unknown side of triangle is y

17^2 = 8^2 + y^2

17^2 - 8^2 =  y^2

225 = y^2

y = sqrt(225)

y = 15

tan α = 15/8

Step-by-step explanation:

Answer:

The correct answer is 8/15 on edg

Answer:

8 in²

Step-by-step explanation:

formula for area of a triangle is 1/2(bxh)

1/2(4x4)

1/2(16)

8

Answer:

40 papers

Step-by-step explanation:

6 x 10 = 60

100- 60 = 40

Answer:

There is no set length for the movie, but usually they're about 2 1/2 hrs so probably 10:55?

Answer:

(3i+5)+(2-6i)

⇒ 3i+5+2-6i

⇒3i-6i+5+2

⇒-3i+7

The simplified form of (3i+5)+(2-6i) will be -3i+7

Answer:

x = sqrt(147)

Step-by-step explanation:

This is a right triangle, so we can use the Pythagorean theorem.

a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse.

x^2 +7^2 = 14^2

x^2 +49 = 196

Subtract 49 from each side

x^2 = 147

Take the square root of each side

sqrt(x^2) = sqrt(147)

x = sqrt(147)

Answer:

[tex]7\sqrt{3}[/tex] or 12.12

Step-by-step explanation:

The pythagorean theorem states that a^2 + b^2 = c^2, with a and b representing the legs and c representing the hypotenuse.

7^2 + x^2 = 14^2

49 + x^2 = 196

x^2 = 147

x = [tex]7\sqrt{3}[/tex] or 12.12

     Option (2). function f will be stretched away from the x-axis to form the image function f'.

          f(x) = a(x - h)² + k

          If a > 1, graph of the function will be stretched vertically (towards  

          y-axis or away from the x-axis).

          If 0 < a < 1, graph of the function will be compressed vertically

          (towards x-axis or away from the y-axis)

Function given in the question,

f(x) = (x - 1)² + 1

Transformed function → f'(x) = (13x - 1)² + 1

                                        [tex]f'(x)=13(x-\frac{1}{13})^2+1[/tex]

By applying rule of the transformation,

a = 13 and 13 > 1

Therefore, function will be stretched vertically away from the x-axis.

      Hence, Option (2) will be the answer.

Learn more about the transformations here,

https://brainly.com/question/19279703

Answer:

the answer is C

Step-by-step explanation:

You would take and the y axis would equal x since the m is 1 it would just be x and then since you have the 4 you would just add it to the y=x and then it would be y=x+4

Answer:

Step-by-step explanation:

{-1,0,1,2}

Answer:

Step-by-step explanation:

1.5

Hope that helps!

Answer:

1.5

Step-by-step explanation:

......................

Answer:

b=6/5

Step-by-step explanation:

Answer:

0.42

Step-by-step explanation:

4.2 * 1/10 = 4.2/10

= 0.42

Answer:

yeah, the selected is correct

Step-by-step explanation:

distance is...

2 and 2 square root

Answer:

A

Step-by-step explanation:

Answer:

b. 1 inch : 5 miles is sure

Answer:

x>-1

Step-by-step explanation:

Answer:

x > -1

Step-by-step explanation:

here is the proportion I used to get the answer. hopefully this helps

Answer:

19 days and 17 hours

Step-by-step explanation: