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3 years ago

Write a linear function f with the values f (0) =4 and f(3)=-8

Mathematics

1 answer:

Darya [45]3 years ago

8 0

Answer:

Answer:

f(x) = - 4x + 4

Step-by-step explanation:

Step-by-step explanation:

A linear function has the form

f(x) = ax + b, thus

f(0) = a(0) + b = 4, that is

0 + b = 4 , hence b = 4

f(3) = 3a + b = - 8 ← substitute b = 4

3a + 4 = - 8 ( subtract 4 from both sides )

3a = - 12 ( divide both sides by 3 )

a = - 4, thus

f(x) = - 4x + 4

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Answer:

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3 years ago

Based on a 4-week work month and a 40-hour

Leni [432]

Answer:

$27.69

Step-by-step explanation:

Given

Monthly budget (See attachment)

$Month = 4\ weeks$

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Required

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$Budget = \$ 4430$

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$Weekly\ Earnings = \frac{\$4430}{4}$

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Next, we calculate the hourly earnings:

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3 years ago

A line passes through (4, 5) and (8, 9). Which equation best represents the line?

xxTIMURxx [149]

Answer:

that is the equation of the line, its slope is 1 and the y-intercept is 1 y = x + 1

Step-by-step explanation:

we can calculate the slope of this line passing through (4,5) and (8,9) like this:

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

m = (9 - 5)/(8 - 4)

m = 4/4

m = 1

so the slope is 1, and now we can use the equation of one point and the slope to write the line's equation:

y - y1 = m(x - x1)

y - 5 = 1*(x - 4)

y - 5 = x - 4

y = x + 1

that is the equation of the line, its slope is 1 and the y-intercept is 1

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3 years ago

A business has an opportunity to invest $35,000. If the investment is a success, the business earns a profit of $150,000. Otherw

alukav5142 [94]

Answer:

The answer is A

Step-by-step explanation:

this answer is helpful to my peers, because i literally just gave them what they were looking for.

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3 years ago

Read 2 more answers

Help please asap!! A- z=15 B- z= 20 C- z=23 D- z=41

grigory [225]

Answer:

z = 15

Step-by-step explanation:

The sum S of the interior angles of a regular polygon is given by the formula

S = (n-2) x 180 where n is the number sides

Here n = 9

So S = (9-2) x 180 = 7 x 180 = 1,260

There are 9 interior angles and each angle is (5z + 65)

So the sum of all 9 interior angles = 9 (5z + 65)

= 45z + 585

Set these equal to each other and solve for z

45z + 585 = 1260

45z = 675

z = 675/45 = 15

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1 year ago