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3 years ago

Solve for x h(x)=−7x ; h(x)=63

Mathematics

2 answers:

aleksandr82 [10.1K]3 years ago

7 0

Answer:

x = -9

Step-by-step explanation:

-7x = 63

Divide -7 into both sides.

-7x/-7 = 63/-7

x = 63/-7

x = -9

Put x as -9 in the function to check.

h(x) = -7x

h(-9) = -7(-9)

h(-9) = 63

Novay_Z [31]3 years ago

3 0

Answer:

x = -9

Step-by-step explanation:

h(x)=−7x ; h(x)=63

Set the two equal

-7x = 63

Divide by -7

-7x/-7 = 63/-7

x = -9

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GenaCL600 [577]

Answer:

slope = -1/2

Step-by-step explanation:

To find the slope, we can use the formula

m = (y2-y1)/(x2-x1)

= (4-3)/(-2-0)

= 1 /-2

= -1/2

The slope is -1/2

4 0

4 years ago

Solve and describe the graph of the inequality: 5x < 45

Gemiola [76]

Answer:

Step-by-step explanation:

5x<45 divide by 5

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8 0

3 years ago

-5x + 8y = -21<br> 3x - 4y = 15

fomenos

The value of x and y in the equation -5x + 8y = -21 and 3x - 4y = 15 are 9 and 4 respectively.

<h3>What is an equation?</h3>

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario. It is vital to note that an equation is a mathematical statement which is made up of two expressions that are connected by an equal sign.

The equation is given as:

-5x + 8y = -21

3x - 4y = 15

Multiply equation i by 3

Multiply equation ii by 5

-15x + 24y = -63

15x - 20y = 75

Add both equations

4y = 12

Divide

y = 12/4

y = 3

From 3x - 4y = 15

3x - 4(3) = 15

3x - 12 = 15

Collect like terms

3x = 12 + 15

3x = 27

Divide

x = 27/3

x = 9

Therefore, x = 9 and y = 4.

Learn more about equations on:

brainly.com/question/2972832

#SPJ1

6 0

1 year ago

Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.

CaHeK987 [17]

Answer:

$100

Step-by-step explanation:

Let C be the cost for 150 minutes of play time.

We have been given that Quinn is playing video games at a virtual reality game room. The game room charges 20 dollars for every 30 minutes of play time.

We will use proportions to find the cost for 150 minutes of play time as proportions states that two fractions are similar.

$\frac{\text{Cost of 30 minutes of play time}}{\text{30 minutes}}=\frac{\text{Cost of 150 minutes of play time}}{\text{150 minutes}}$

Upon substituting the given value we will get,

$\frac{20}{30}=\frac{C}{150}$

Upon cross multiplying our equation we will get,

$30C=150\times 20$

Upon dividing both sides of equation by 30 we will get,

$\frac{30C}{30}=\frac{150\times 20}{30}$

$C=\frac{150\times 20}{30}$

$C=5\times 20$

$C=100$

Therefore, Quinn need $100 to pay for 150 minutes of play time.

8 0

3 years ago

Read 2 more answers

The arc length of a sector is equal to four times the radius. Express the arc length s

Sveta_85 [38]

Answer:

Step-by-step explanation:

Given that,

The arc length is four times the radius

Let he radius be 'r'

Then, the arc length be 's'

The arc of a sector can be calculated using

s=θ/360 × 2πr

Then, given that s=4r

So, 4r = θ × 2πr / 360

Divide both side r

4 = θ × 2π/360

Then, make θ subject of formula

θ × 2π = 360 × 4

θ = 360 × 4 / 2π

θ = 720 / π

So, area of the sector can be determine using

A = θ / 360 × πr²

Since r = ¼s

Then,

A = (θ/360) × π × (¼s)²

A = (θ/360) × π × (s²/16)

A = θ × π × s² / 360 × 16

Since θ = 720 / π

A = (720/π) × π × s² / 360 × 16

A = 720 × π × s² / 360 × 16 × π

A = s² / 8

Then,

s² = 8A

Then,

s= √(8A)

s = 2 √2•A

6 0

3 years ago