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Assoli18 [71]
2 years ago
6

Given f(x) = -9x - 1 and g(x) = 4x + 1, find (f.g)(x).

Mathematics
1 answer:
bazaltina [42]2 years ago
4 0
(-9x -1) x (4x+1)
use foil method
-9x * 4x - 9x - 4x - 1
collect like terms by multiplying the -9x and the 4x together, then you add together both -9x and -4x. Then you have your answer below
-36x^2 - 13x - 1

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What's the sum of 7/16 7/12 7/8 1 1/6??
Neporo4naja [7]
Make all fractions with a 48 denominator:
21/48 + 28/48 + 42/48 + 88/48
=179/48 = 3 (35/48)

5 0
3 years ago
(56 x10°)-4,000,000 =
AlexFokin [52]
It should be -3999944
3 0
3 years ago
I have 10 goats, n of which are male. I need to choose 2 of them to make a casserole.
snow_tiger [21]

Answer: There are 4 male goats.

Step-by-step explanation:

We know that n of the 10 goats are male.

The probability that in a random selection, the selected goat is a male, is equal to the quotient between the number of male goats (n) and the total number of goats (10)

The probability is;

p = n/10

Now the total number of goats is 9, and the number of male goats is n -1

then the probability of selecting a male goat again is:

q = (n-1)/9

The joint probability (the probability that the two selected goats are male) is equal to the product of the individual probabilities, this is

P = p*q = (n/10)*((n-1)/9)

And we know that this probability is equal to 2/15

Then we have:

(n/10)*((n-1)/9) = 2/15

(n*(n-1))/90 = 2/15

n*(n-1) = 90*2/15 = 12

n^2 - n = 12

n^2 - n - 12  = 0

This is a quadratic equation, we can find the solutions if we use Bhaskara's formula:

For an equation:

a*x^2  + b*x + c =  0

The two solutions are given by:

x = \frac{-b +- \sqrt{b^2 - 4*a*c} }{2*a}

For our case, the solutions will be:

n = \frac{1 +- \sqrt{(-1)^2 - 4*1*(-12)} }{2*1 } = \frac{1+- 7}{2}

The two solutions are:

n = (1 - 7)/2 = -3    (this solution does not make sense, we can not have a negative number of goats)

The other solution is:

n = (1 + 7)/2 = 4

This solution does make sense, this means that we have 4 male goats.

5 0
3 years ago
(64p - 32) divided by 8 , please help me with this answer..
Vilka [71]

Answer:

  • 4 * (2p - 1)
  • 4.

Step-by-step explanation:

<u>Step 1:</u>

  • Simplify (64p - 32) ÷ 8

<u>Step 2:</u>

  • Pull out like factors:
  • 64p - 32 = 32 * (2p - 1)

<u>Final result:</u>

  • 4 * (2p - 1).

<u>Real answer:</u>

  • 64p - 32
  • = 32 ÷ 8
  • = 4.
7 0
2 years ago
Felicia decided to purchase 2 points in order to lower her interest rate on her $149,000 mortgage. How much additional money doe
Finger [1]
The answer is D. 2980
4 0
3 years ago
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