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1 year ago

Eriod: Date: 1. Use the given functions to evaluate a) h(x) = -2x + 4 x = 4

Mathematics

1 answer:

Nitella [24]1 year ago

8 0

The value of the function h(x) = -2x + 4 when x = 4 is h(4) = -4

<h3>How to evaluate the function?</h3>

The equation of the function is given as:

h(x) = -2x + 4

The value of x is given as:

x = 4

Substitute x = 4 in h(x) = -2x + 4

h(4) = -2 * 4 + 4

Evaluate the product

h(4) = -8 + 4

Evaluate the sum

h(4) = -4

Hence, the value of the function h(x) = -2x + 4 when x = 4 is h(4) = -4

Read more about linear functions at:

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On square PQRS below, if Q is located at (7,0) and R is located at (5,-8) what is the length of SR

jenyasd209 [6]

the length of SR is $2\sqrt{17}$ .

<u>Step-by-step explanation:</u>

Here we have , On square PQRS below, if Q is located at (7,0) and R is located at (5,-8) . We need to find Length of side SR . Let's find out:

We know that , In a square there are 4 sides , and length of every side is same . So side length of SR = side length of QR . Now , Let's find side length of QR .

We know that distance between two points $Q(x_1,y_1),R(x_2,y_2)$ given by :

⇒ $QR = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Two points given are $Q(7,0), R(5,-8)$ :

⇒ $QR = \sqrt{5-7)^2+(-8-0)^2}$

⇒ $QR = \sqrt{(2)^2+(-8)^2}$

⇒ $QR = \sqrt{4+64}$

⇒ $QR = \sqrt{68}$

⇒ $QR = 2\sqrt{17}$

But QR=SR , Therefore , the length of SR is $2\sqrt{17}$ .

8 0

4 years ago

Two workers finished a job in 12 days. How long would it take each worker to do the job by himself if one of the workers needs 1

Lorico [155]

Two workers finished a job in 7.5 days.

How long would it take each worker to do the job by himself if one of the workers needs 8 more days to finish the job than the other worker?

let t = time required by one worker to complete the job alone

then

(t+8) = time required by the other worker (shirker)

let the completed job = 1

A typical shared work equation

7.5%2Ft + 7.5%2F%28%28t%2B8%29%29 = 1

multiply by t(t+8), cancel the denominators, and you have

7.5(t+8) + 7.5t = t(t+8)

7.5t + 60 + 7.5t = t^2 + 8t

15t + 60 = t^2 + 8t

form a quadratic equation on the right

0 = t^2 + 8t - 15t - 60

t^2 - 7t - 60 = 0

Factor easily to

(t-12) (t+5) = 0

the positive solution is all we want here

t = 12 days, the first guy working alone

then

the shirker would struggle thru the job in 20 days.

8 0

3 years ago

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Find the value of 3^-4

serg [7]

Answer:

why its ur school

Step-by-step explanation:

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3 years ago

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Solve the inequality: m/2 - 1 > 7 *

miss Akunina [59]

Answer:

m > 16

Step-by-step explanation:

m/2 - 1 > 7

Take the - 1 to the other side so that it becomes positive and adds onto 7 to become 8

m/2 > 7 +1

m > 8 x 2

Multiply both sides by 2 so you would get 8 x 2 to receive 16

m > 16

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3 years ago

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Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000

vesna_86 [32]

Scientists are examining two different strains of a particular bacteria. The length of one strain of the bacteria measures 0.000000368

mm, while the length of the second strain measures 0.000000064 mm. How much larger is the first strain than the second?

We can figure this out using scientific notation.

$0.000000368 - 0.000000064$

$= 3.04e-7$

Put 3.04e-7 in standard notation.

$0.00000304$

Put 0.00000304 back into scientific notation, instead with a multiply sign.

Move the dot back, making the number in between 1-10.

In this case, we would move it back 7 times.

$3.04$ · $10x^{-7}$

So the answer would be A.

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3 years ago