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2 years ago

The graph below shows the height an elevator travels, y, in x seconds:

Mathematics

1 answer:

ad-work [718]2 years ago

6 0

9514 1404 393

Answer:

25 (ft/s)

Step-by-step explanation:

The "rate of change" is taken to mean the "rise" divided by the "run". Here, adjacent points differ in their y-value by 25 ft and their x-value by 1 second.

The rate of change is ...

rise/run = (25 ft)/(1 second) = 25 ft/second

Usually, we're just interested in the numerical value: 25.

_____

Additional comment

The graph is mis-labeled. It is not showing "rate of ascent." It is showing height as a function of time. The "rate of ascent" is the slope of the line on the graph, not its value.

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What is the answer for: 7 - 8(x-3)=x-14

ikadub [295]

Answer:

1. x=5

2.x=-33/8

3.x=10

4.x=5

Step-by-step explanation:

5 0

2 years ago

The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet. The elevation of the point closest

Gelneren [198K]

The elevations of four points below sea level are -47 feet, -24 feet, -8 feet, and -18 feet.

The elevation of the point closest to sea level is feet

-8 ft

elevation of the point farthest from sea level is feet.

-47 ft

closet to sea level to farthest to sea level

-8ft , -18ft , -24ft , -47ft

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3 years ago

The junior and senior students at Mathville High School are going to present an exciting musical entitled, "Math, What is it Goo

xeze [42]

Some parts are missing in the queston. Find attached the picture with the complete question

Answer:

$\large\boxed{\large\boxed{161}}$

Explanation:

Let's put the information in a table step-by step.

(number of remaining students)

Juniors Seniors

Condition

Initially J S

15 seniors left S - 15

Twice juniors as seniors 2(S - 15)

3/4 of the juniors left 1/4×2(S - 15)
1/3 of seniors left 2/3×(S - 15)

At the end, there were 8 more seniors than juniors:

2/3×(S - 15) - 1/4×2(S - 15) = 8

Now you have obtained one equation, which you can solve to find S, the number of senior students, and then the number of junior students.

Solve the equation:

$2/3\times (S - 15) - 1/4\times 2(S - 15) = 8$

Mutilply all by 12:

$8(S - 15)-6(S - 15)=96$

Distribution property:

$8S-120-6S-90=96$

Addtion property of equalities:

$8S-6S=96+120+90$

Add like terms:

$2S=306$

Division property of equalities:

$S=306/2=153$

That is the number of senior students that came out to the information meeting, but the number of students remaining to perform in the school musical is (from the table above):

$2/3\times (S-15)+1/4\times 2(S-15)$

Just substitute S with 153 fo find the number of students that remained to perfom in the musical:

$2/3\times (153-15)+1/4\times 2(153-15)\\ \\ 2/3(138)+1/2(138)$

$161$

5 0

2 years ago

The slope of the line whose equation is 3x - 2y = 4 is 2/3 3/2 -2

7nadin3 [17]

Answer:

3/2

Step-by-step explanation:

The equation 3x-2y=4 can be written in the form of y=mx+c where m is the slope and c is the y intercept.

Therefore

2y=3x-4 and dividing both sides by 2 to have y at the LHS

y=3/2x-2

Therefore, 3/2 represents the gradient/slope

6 0

2 years ago

Solve equation for 5x-14=8x+4

creativ13 [48]

My answer-

Simplifying 5x + -14 = 8x + 4

Reorder the terms: -14 + 5x = 8x + 4 Reorder the terms: -14 + 5x = 4 + 8x

Solving -14 + 5x = 4 + 8x Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -14 + 5x + -8x = 4 + 8x + -8x

Combine like terms: 5x + -8x = -3x -14 + -3x = 4 + 8x + -8x

Combine like terms: 8x + -8x = 0 -14 + -3x = 4 + 0 -14 + -3x = 4 Add '14' to

each side of the equation. -14 + 14 + -3x = 4 + 14

Combine like terms: -14 + 14 = 0 0 + -3x = 4 + 14 -3x = 4 + 14

Combine like terms: 4 + 14 = 18 -3x = 18 

Divide each side by '-3'. x = -6

Simplifying x = -6

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6 0

3 years ago

Read 2 more answers