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klio [65]
2 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]2 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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Jake and Lacy work at a golf driving range. At the end of the day, Jake collected 408 golf balls and Lacy collected 374 golf bal
Reptile [31]

they will fill 23 baskets. we get this by adding the number of golf balls each of them get to get the total number of golf balls. then, we divide the total number of golf balls by 34 because that's how many they will be able to put into each basket. it will look a little like this: 408+374=782

782/34=23 baskets

3 0
3 years ago
Nick has an album that holds 700 compact discs. Each page of the album holds 7 compact discs. If 69​% of the album is​ empty, ho
mel-nik [20]

Answer:

41

Step-by-step explanation:

each page holds 7 discs. the alb holds 700 discs. that means there are 100 pages. 69% of the pages are empty so therefore 41 pages are filled.

4 0
2 years ago
A field is a rectangle with a perimeter of 1260 feet. The length is 100 feet more than width. Find the width and length of the r
lyudmila [28]

To solve this problem you must apply the proccedure shown below:

1. The formula for calculate the perimeter of a rectangle is:

P=2L+2W

Where L is the length and W is the width.

2. The length is 100ft more than the width, therefore:

L=W+100

3. Substitute values into the formula for calculate the perimeter and solve for the width:

1260=2(W+100)+2W\\ W=265ft

3. Then, the length is:

L=265ft+100ft\\ L=365ft

The answer is: The length is 365ft and the width is 265ft

5 0
2 years ago
If ABC is similar to DEF the m
kodGreya [7K]

Answer:what do you mean


Step-by-step explanation:


5 0
3 years ago
Im having a super tough time with this problem.
jarptica [38.1K]

\frac{ \tan(58) }{1}  =  \frac{x}{24}

x = how high the kite is

x = 24 × tan(58)

x is approximately 38 meters

Set up a proportion and cross multiply.

5 0
2 years ago
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