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Iteru [2.4K]
3 years ago
5

Thomas bought several paintbrushes for $4 each. He paid with a $20 bill. The expression 20 – 4n is used to determine how much ch

ange Thomas receives. What does the variable n represent?
Mathematics
1 answer:
Tresset [83]3 years ago
4 0

Answer:

the variable n represents how many of the product thomas bought

Step-by-step explanation:

20 dollars is the initial amount of money, and for every paintbrush, you have to subtract 4 dollars from thomas's initial amount, and the result of the subtraction is the amount of change he will recieve.

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This model of the backboard of a basketball goal is composed of a rectangle and a semicircle. What is the area of
irina1246 [14]

Answer:

deal with the rectangle first A = l X w

4 X 12 = 48 squared cm

semi circle

Area of a circle πr^2

12/2 = 6, radius = 6

π6^2 = 113.097335

113.097335/2 = 56.5486677

56.5 + 48 = 104.5 squared cm

3 0
3 years ago
Find the value of c so that the polynomial p(x) is divisible by (x-3). p(x) =-x^3+cx^2-4x+3. c=?
Vilka [71]

Answer:

\boxed{\textsf {The value of c is $\sf \dfrac{-14}{3}$. }}

Step-by-step explanation:

A polynomial is given to us . We need to find the value of c so that it is divisible by (x-3 ) .The given polynomial to us is ,

\sf \implies p(x)=- x^3+cx^2-4x+3

And the factor is ,

\sf \implies g(x) = x + 3

Now , according to factor theorem , p(x) will be divisible by g(x) if p(-3) = 0

\sf \implies p(x)= - x^3+cx^2-4x+3 \\\\\implies\sf p(-3) = 0 \\\\\sf\implies -(-3)^3+c(-3)^2-4(-3)+3 = 0 \\\\\sf\implies 27 + 9c +12+3=0 \\\\\sf\implies 9c +42=0 \\\\\sf\implies 9c = (-42) \\\\\sf\implies c = \dfrac{-42}{9}\\\\\sf\implies \boxed{\pink{\sf c = \dfrac{-14}{3}}}

<h3><u>Hence </u><u>the </u><u>value </u><u>of </u><u>c </u><u>is </u><u>(</u><u>-</u><u>1</u><u>4</u><u>)</u><u>/</u><u>3</u><u> </u><u>.</u></h3>
4 0
3 years ago
1. What is the fourth term in the expansion of (x + 4y)^6?
aev [14]
For the fourth term r = 3
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7 0
3 years ago
What is the answer to 35=-7=[z+8]
Ronch [10]
I believe you mean to put "()" not "[]"
I got <span>z = -8 as my answer
</span><span />


8 0
3 years ago
4 2/3 divided by 4 1/5
Galina-37 [17]
(4 2/3) / (4 1/5) = 1.111
8 0
3 years ago
Read 2 more answers
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