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tester [92]
3 years ago
9

The bases of an isosceles trapezoid are represented by 4x and 2x.. The height of the trapezoid is represented by (x − 6). Which

polynomial expression BEST represents the area of the trapezoid?
A) 3x2 − 18x
B) 3x2 + 18x
C) 3x − 18
D) 6x2 + 36x
Mathematics
2 answers:
Lerok [7]3 years ago
6 0

Answer:

Step-by-step explanation:

3x2 + 8x + 4

A =

1

2

(b1 + b2)(height)

A =

1

2

(3x + 3x + 4)(x + 2)

A =

1

2

(6x + 4)(x + 2)

A =

1

2

(6x2 + 16x + 8)

A = 3x2 + 8x + 4

The answer is A

Igoryamba3 years ago
5 0
The area of a trapezoid is calculated by the equation,
                          A = 0.5(b₁ + b₂)h
where b₁ and b₂ are the bases and h is the height. When we substitute the given expression for the dimensions in the given,
                          A = 0.5(4x + 2x)(x - 6)
                          A = 0.5(6x)(x - 6) = 3x² - 18
Thus, the answer is letter A. 
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A gift shop sells 140 wind chimes per month at $90 each. The owners estimate that for each $5 increase in price, they will sell
guapka [62]

Answer: $95

Step-by-step explanation:

Te new price will be 90 + 5x, if the price increases "x" times

The number of wind chimes sold per month will become 140 - 7x

\begin{aligned}&\text {Revenue, } \mathrm{R}(\mathrm{x})=(90+5 \mathrm{x})(140-7 \mathrm{x}) \\&R^{\prime}(x)=5(140-7 x)-7(90+5 x) \\&R^{\prime}(x)=700-35 x-630-35 x \\&R^{\prime}(x)=70-70 x=0 \\&70 x=70 \\&x=1\end{aligned}

Therefore, if the price becomes (90 + 5(1)) = $95 per wind chime, then the revenue will be maximum

6 0
2 years ago
Type the correct answer in each box.
nataly862011 [7]

Answer:

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Step-by-step explanation:

5 0
2 years ago
john had a ribbon that was 1 1/2 meters long. he used 2 pieces that were each 1/3 of that length. how much ribbon did john use
dimulka [17.4K]
Of means multiplication. So the question is 1/3 X 1 1/2. First make 1 1/2 improper: 3/2. Then multiply the numerators (top numbers) and denominaters (bottom numbers): 1x3=3, 3x2=6, =3/6. Now simplify 3/6=1/2. Then multiply that by 2, since he used 2 pieces: 1/2x2=1. John used 1 meter :)
5 0
3 years ago
Which of the following is not an integer? Group of answer choices -1 -2.5 4 25Which of the following is not an integer?
Paha777 [63]
The correct answer is -2.5
6 0
2 years ago
Read 2 more answers
There are 8 tennis players in a round robin tournament, which means each team will play every other team once. How many matches
Aliun [14]
<h3>Answer:  28</h3>

==========================================================

Explanation:

Method 1

Imagine a table with 8 rows and 8 columns to represent all possible match-ups. You can actually draw out this table or just think of it as a thought experiment.

There are 8*8 = 64 entries in the table. Along the northwest diagonal, we have each team pair up with itself. This is of course silly and impossible. We cross off this entire diagonal so we drop to 64-8 = 56 entries.

Then notice that the lower left corner is a mirror copy of the upper right corner. A match-up like AB is the same as BA. So we must divide by 2 to get 56/2 = 28 different matches.

----------------------------------

Method 2

There are 8 selections for the first slot, and 8-1 = 7 selections for the second slot. We have 8*7 = 56 permutations and 56/2 = 28 combinations.

----------------------------------

Method 3

Use the nCr combination formula with n = 8 and r = 2

n C r = \frac{n!}{r!(n-r)!}\\\\8 C 2 = \frac{8!}{2!*(8-2)!}\\\\8 C 2 = \frac{8!}{2!*6!}\\\\8 C 2 = \frac{8*7*6!}{2!*6!}\\\\ 8 C 2 = \frac{8*7}{2!}\\\\ 8 C 2 = \frac{8*7}{2*1}\\\\ 8 C 2 = \frac{56}{2}\\\\ 8 C 2 = 28\\\\

There are 28 combinations possible. Order doesn't matter (eg: match-up AB is the same as match-up BA).

Notice how the (8*7)/2 expression is part of the steps shown above in the nCr formula.

7 0
1 year ago
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