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3 years ago

Find a so that the point (-1, 2) is on the graph of f(x)=ax^2+5.

1 answer:

4 0

We are asked to determine the value of a such that the function f(x) = ax^2 + 5 is fit for the point given (-1,2). In this case, we substitute 2 to y and -1 to x. The result is then 2 = a*(-1)^2 + 5 ; 2 = a + 5; a is then equal to -3

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If f(x) = -3x - 5 and g(x) = 4x - 2, find (f+ g)(x)

Sergeeva-Olga [200]

Answer:

(f+g)(x)=f(x)+g(x)

=(-3x-5)+(4x-2)

= -3x-5+4x-2. collect like term

= -3x+4x-5-2

= x-7. the final answer

8 0

2 years ago

If /_\CAT ~= /_\LUV then /_\c ~=/_\L. True or False?

marshall27 [118]

Answer:

True

Step-by-step explanation:

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3 years ago

A rectangle has a length that is three feet more than twice it's width. The perimeter of the rectangle is 78 feet. State the val

ivann1987 [24]

Let the width of the rectangle be 'w'

According to the question length of the rectangle (l) is three feet more than twice it's width;

$\longrightarrow$ l = (2w + 3) ft

Perimeter of rectangle = 78 ft

Formula of perimeter of rectangle = 2(Length + Width)

So,

$\rm \implies 2(Length + Width) = 78 \\ \\ \rm \implies 2(2w + 3 + w) = 78 \\ \\ \rm \implies 2(3w + 3) = 78 \\ \\ \rm \implies 2 \times 3(w + 1) = 78 \\ \\ \rm \implies 6(w + 1) = 78 \\ \\ \rm \implies w + 1 = \dfrac{78}{6} \\ \\ \rm \implies w + 1 = 13 \\ \\ \rm \implies w = 13 - 1 \\ \\ \rm \implies w = 12 \: ft$

$\therefore$ Width of the rectangle (w) = 12 ft

3 0

3 years ago

The U.S. Census Bureau conducts a study to determine the time needed to complete the shortform. The Bureau surveys 200 people. T

pychu [463]

Answer:

Step-by-step explanation:

Download docx

8 0

3 years ago

In a shipment of new books for a library 5/12 of the books were poetry and 2/5 were biographies. The remainder of the books in t

butalik [34]

Make a common denominator.

5/12 and 2/5 both have a common denominator of 60.

So:
5/12 = 25/60
2/5 = 24/60

25/60 + 24/60 = 49/60

There are 49/60 books in the shipment that contain POETRY and BIOGRAPHIES.

But we’re not done yet!

60/60 - 49/60 = 11/60

11/60 of the books contain mysteries.

Please give brainliest if you can!

Hope this helps!! :)

8 0

3 years ago