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3 years ago

Select the correct answer.

Mathematics

1 answer:

Cerrena [4.2K]3 years ago

6 0

Answer:

Step-by-step explanation:

slope is change in y over change in x, line goes down 4, right three whole units, making the slope -4/3

y-intercept is where the line hits the y-axis

the line hits the y-axis at (0,8)

this makes the y-intercept 8

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An executive is earning $45,000 per year. This is

Marizza181 [45]

Her salary 4 years ago would have been $30,000.

If 45,000 is 15,000 less than double her previous salary, we must first add 15,000 to 45,000 to find what double her salary was.

45,000+15,000=60,000.

Since this is twice her salary, we divide this by 2.

60,000/2= 30,000.

So, her salary 4 years ago would have been $30,000.

I hope this helps!

4 0

3 years ago

0 A pigeon can fly at a speed of 84 kilometers per hour. How long does it take the pigeon to fly 7 kilometers

QveST [7]

The miles per hour is 84 kilometers per 60 minutes (7:5 ratio) so if we take seven kilometers times the ratio 5/7 we get 5 minutes

7 0

3 years ago

Write each number as a fractions with positive exponents.

boyakko [2]

You can't take away 6 from 2 but you can switch them and get 6-2 and that's =4 10-8=2 7-5=2

8 0

4 years ago

The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. A wind speed of 37 miles per ho

vfiekz [6]

Answer:the output for a wind speed of 40 miles per hour is 810.8 kilowatts.

Step-by-step explanation:

The power P produced by a wind turbine is directly proportional to the cube of the wind speed S. This means that

P is directly proportional to S

Introducing a constant of proportionality, k, it becomes

P = kS

A wind speed of 37 miles per hour produces a power output of 750 kilowatts. This means that

750 = k × 37

k = 750/37 = 20.27

The expression becomes

P = 20.27S

Therefore, the output for a wind speed of 40 miles per hour would be

P = 20.27 × 40

P = 810.8

6 0

3 years ago

Factor the expression completely. 625x4 - 256y4

scoundrel [369]

Answer:

(625 • (x4)) - 28y4

54x4 - 28y4 3.1 Factoring: 625x4-256y4

Theory : A difference of two perfect squares, A2 - B2 can be factored into (A+B) • (A-B)

Proof : (A+B) • (A-B) =

A2 - AB + BA - B2 =

A2 - AB + AB - B2 =

A2 - B2Note : AB = BA is the commutative property of multiplication.

Note : - AB + AB equals zero and is therefore eliminated from the expression.

Check : 625 is the square of 25

Check : 256 is the square of 16

Check : x4 is the square of x2

Check : y4 is the square of y2

Factorization is : (25x2 + 16y2) • (25x2 - 16y2) 3.2 Factoring: 25x2 - 16y2

Check : 25 is the square of 5

Check : 16 is the square of 4

Check : x2 is the square of x1

Check : y2 is the square of y1

Factorization is : (5x + 4y) • (5x - 4y)this is the answer: (25x2 + 16y2) •(5x + 4y) • (5x - 4y)

5 0

3 years ago