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klio [65]
3 years ago
6

If c(x) = 4x-2 and d(x) = x^2 + 5x is is (c•d) (x)

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0
<h3>Answer: (c * d)(x) = 4x^3 + 18x^2 - 10x</h3>

Work Shown:

I'm assuming the dot means multiplication. If so, then,

(c * d)(x) = c(x)*d(x)

(c * d)(x) = [ c(x) ] * [ d(x) ]

(c * d)(x) = (4x-2)(x^2+5x) .... substitution

(c * d)(x) = 4x(x^2+5x) - 2(x^2+5x) ... distribute

(c * d)(x) = 4x(x^2)+4x(5x) - 2(x^2)-2(5x) ... distribute again

(c * d)(x) = 4x^3 + 20x^2 - 2x^2 - 10x

(c * d)(x) = 4x^3 + 18x^2 - 10x

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4 0
4 years ago
Read 2 more answers
A craft club makes 95 identical paperweights. They got $230.85 from those paperweights. If the profit the club makes is two time
ahrayia [7]

Answer:

the cost of making each paperweight = $0.81

Step-by-step explanation:

First let us calculate the selling price for each paperweight as follows:

total amount gotten = $230.85

number of paperweights = 95

∴ 95 paperweights = $230.85

∴ 1 paperweight = 230.85 ÷ 95 = $2.43

selling price of 1 paperweight = $2.43

Next, let the cost of making 1 paperweight be 'x'

selling price of paperweight = cost of making + profit gotten

The cost of making the paper weight (x) plus the profit made on the paper weight (2x) equals the selling price of each paper weight.

x + 2x = 2.43 (the profit the club makes is two times as much as the cost to make each paperweight)

∴ 3x = 2.43

x = 2.43 ÷ 3 = 0.81

Therefore, the cost of making each paperweight = $0.81

7 0
3 years ago
A group of ten friends played a number guessing game. They were asked to pick a number between 1 and 20. The person closest to t
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Answer:

Step-by-step explanation:

69

6 0
3 years ago
Each letter in the expression shown to the right represents a digit other than zero. Different letters represent different digit
mars1129 [50]

Answer:

well if you go by the allaphat then A would be the smallest digit

Step-by-step explanation:

4 0
4 years ago
Two ropes, AD and BD, are tied to a peg on the ground at point D. The other ends of the ropes are tied to points A and B on a fl
Salsk061 [2.6K]
So to find the answer you need to use SOHCAHTOA 
Sine= Opposite/ Adjacent
Cosine= Adjacent/Hypotenuse
Tan = opposite/adjacent

angle ADC is 60 so to find the length of line ABC we would use the angle and the line DC. 
We would use Tan with opposite over adjacent
Tan 60 = opp. / 5 root 3 
opp. = 15 
so that is the length of the entire thing, all you need to do now is find the length of the single line of BC which we can use the same equation with just Tan 30 now.
Tan 30 = opp. / 5 root 3 
opp. = 5 
next you need to take the entire ABC length and subtract the length of BC to get AB
15-5 = 10 
so the answer would be C
8 0
3 years ago
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