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Daniel [21]
3 years ago
11

Let f(x)=4x+7 and g(x)=3x-5. find (fog)(-4) A. -9 B. -61 C. -32 D. -17

Mathematics
1 answer:
prohojiy [21]3 years ago
3 0

Answer:

B . (fog)(-4)  = - 61

Step-by-step explanation:

Here, given  f(x) = 4 x + 7, g(x) = 3 x- 5

Now, by the COMPOSITE FUNCTION:

(f o g) (x)  = f (g(x))

Now here: )f o g) ( -4)  = f (g(-4))

<u>Simplifying for g(x) =  3 x  - 5</u>

 g(-4)  = 3 (-4) -  5 = -12 - 5  = -17

or, g (-4)  = -17

Now, <u>for f(x) = 4 x + 7 </u>

f ( g(-4))  = f ( -17) = 4 (-17) + 7

= - 68 + 7 =  - 61

or, f ( g(-4))  = - 61

Hence, (fog)(-4)  = - 61

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Answer:

A

Step-by-step explanation:

Using PEMDAS you start with multiplication first, so -2 multiplied by -6, which is positive 12. Then you go from left to right, so 4 +-3, or 4-3, which is 1. Then 1-12 is -11. So your final answer is A, -11.

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3 years ago
Which equation would shift the parabola down 3 units? A) y = x2 B) y = x2 - 3 C) y = x2 + 3 D) y = (x + 3)2
mrs_skeptik [129]

Answer

x^2-3

Step-by-step explanation:


5 0
3 years ago
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What is the slope of the line represented by the equation y = 5 x – 3?
kozerog [31]

Answer:

the slope is 5

Step-by-step explanation:

y = 5 x – 3

This equation is in slope intercept form

y = mx+b where m is the slope and b is the y intercept

the slope is 5 and the y intercept is -3

6 0
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Pavel, Ruth and Josh have part-time jobs.
MrMuchimi
M+m+z/3=3m
m+m+z=9m
2m+z=9m
z=7m
m+m+7m/3=3m
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1+1+z/3=3
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8 0
3 years ago
Mr. Arju wishs to purchase a house . to buy the house he needs to make a down payment of nu.300000 and also pay nu.15000 every q
mojhsa [17]

Answer:

The price of the house is $ 853,735.05.

Step-by-step explanation:

Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:

300,000 + (15,000 x 12 x 8) = X

300,000 + (180,000 x 8) = X

300,000 + 1,440,000 = X

1,740,000 = X

X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000

X x (1 + 0.0225) ^ 32 = 1,740,000

X x 1.0225 ^ 32 = 1,740,000

X x 2.0381030257737 = 1,740,000

X = 1,740,000 / 2.03810

X = 853,735.05

Therefore, the price of the house is $ 853,735.05.

5 0
3 years ago
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