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3 years ago

(g of f)(-4) when f(x)=4x+5 and g(x)=4x^2 -5x-3

Mathematics

1 answer:

jek_recluse [69]3 years ago

4 0

Answer:

Step-by-step explanation:

f(x)=4x+5

g(x)=4x² - 5x - 3

To find (g o f)(-4) we must first find

(g o f )(x)

To find (g of f)(x) substitute f(x) into g(x)

That's

(g o f)(x) = 4(4x + 5)² - 5(4x - 5) - 3

= 4( 16x² + 40x + 25) - 20x + 25 - 3

= 64x² + 160x + 100 - 20x + 22

(g o f)(x) = 64x² + 140x + 122

To find (g o f)(- 4) substitute the value of x that's - 4 into (g o f)(x)

Thats

(g o f)(- 4) = 64(-4)² + 140(-4) + 122

= 64(16) - 576 + 122

= 1024 - 454

We have the final answer as

Hope this helps you

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–5y – 10 – 10y + –4y

EastWind [94]

Answer:

- 19y -10

Step-by-step explanation:

5 0

2 years ago

4. Given the points M(-3, -4) and T(5,0), find the coordinates of the point Q on directed line segment MT that partitions MT in

Firlakuza [10]

Answer:

<u><em>4 : </em></u> Coordinate of Q = $(\frac{1}{5} ,\frac{-12}{5} )$

<em><u>5 : </u></em> Coordinate of point A = (-2,-2)

Explanation :

4) Given the points M(-3, -4) and T(5,0)

x₁= -3, y₁ = -4 and

x₂ = 5, y₂ = 0

m = 2, n = 1

Now apply the section formula,

{(mx₂+nx₁)/(m+n) , (my₂+ny₁)/(m+n)}

Coordinate of point Q = $(\frac{1}{5} ,\frac{-12}{5} )$

5) AB:BC = 3:4

A = (x,y), end point

B = (4, 1)

C = (12, 5) end point

So, m = 3 & n = 4

x₁ = x , y₁ = y , x₂=12 & y₂ = 5

Apply section formula we get

4 = (36+4x)/7 & 1 = (15 + 4y)/7

28= 36 + 4x 7 = 4y + 15

4x =-8 4y =-8

x = -2 y = -2

5 0

3 years ago

A 1/2 gallon of milk costs 2.50.How much is milk per gallon?Figure that out any way you can.explain

Alex Ar [27]

Answer:

1 Gallon of milk = $5

Step-by-step explanation:

1/2 a gallon + 1/2 a gallon = 1 gallon

2.50 + 2.50 =$5

I hope i helped you :)

7 0

3 years ago

Mike and John are the partners in a local bar who invest in a ratio of 7:13, respectively. They started the business with $1.5M.

Mamont248 [21]

Answer:

A) $525,000

B) $975,000

C) 35%

Step-by-step explanation:

To solve A) and B), divide the total amount of money by the sum of the parts of the ratio (7 + 13 = 20, in this case), and then multiply this by the person's portion of the ratio. This is because you are finding the worth of '1 part', and are then multiplying it to find how much money all their parts are worth together.

To solve C), take a person's portion of the ratio, divide it by the sum of the portions of the ratio and then multiply by 100% to get a percentage. In this case, 7/(7 + 13) * 100% = 7/20 * 100% = 0.35 * 100% = 35%.

7 0

3 years ago

Can someone help me on this

barxatty [35]

A) as the exponent decreases by one, the number is divided by 5

B) as the exponent decreases by one, the number is divided by 4

C) as the exponent decreases by one, the number is divided by 3

D) 4⁰ = 4 ÷ 4 = 1

4⁻¹ = 1 ÷ 4 = $\frac{1}{4}$