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nirvana33 [79]
2 years ago
14

The length of a reclangle can be represented by the expression 2x - 1. The width of the same rectangle can be represented by the

expression x^2 - x + 3. Which of the following expressions can represent the area of the rectangle?
Mathematics
1 answer:
Nitella [24]2 years ago
5 0

Answer:

2x^3 - 3x^2 + 7x - 3

Step-by-step explanation:

Area = length * width

= (2x - 1)(x^2 - x + 3)

= 2x(x^2 - x + 3) - 1(x^2 - x + 3)

= 2x^3 - 2x^2 + 6x - x^2 + x - 3

= 2x^3 - 3x^2 + 7x - 3

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Someone please help me with this math problem! :(
Assoli18 [71]
Area of a parallelogram=base x heigth
Data:
base=(2x+3)
heigth=(ax+5)
area of this parallelogram=8x²+bx+15

Therefore:
8x²+bx+15=(2x+3)(ax+5)
8x²+bx+15=2ax²+10x+3ax+15
8x²+bx+15=2ax²+(10+3a)x+15

Then:
8x²=2ax²
a=(8x²)/(2x²)=4

bx=(10+3(4))x
bx=(10+12)x
b=22x/x=22

Answer: a=4 and b=22.
5 0
3 years ago
Read 2 more answers
On average, it takes a shoe factory 21 minutes, with a standard deviation of 3 minutes, to manufacture a pair of running shoes.
algol13

Answer:

The number of times it would take more than 27 minutes to manufacture a pair of running shoes is 2.275 times or approximately 2 times per every 100 shoes

Step-by-step explanation:

The average time it takes to manufacture a pair of shoes = 21 minutes;

The standard deviation = 3 minutes

To find how often it takes more than 27 minutes to manufacture a pair of running shoes, we have;

Standard score, given as follows;

Z=\dfrac{x-\mu }{\sigma }

Where;

x = The raw score = 27 minutes

μ = The average score = 21 minutes

σ = The standard deviation = 3 minutes

From which we have;

Z=\dfrac{27-21 }{3 } = 2

Therefore, it is borderline unusual with a p value of P(z>2) = 1 - 0.97725 = 0.02275

Therefore, the number of times out of 100 that it would take more than 27 minutes to manufacture a pair of running shoes = 100 × 0.02275 = 2.275 times which is approximately 2 times in every 100 shoes.

7 0
4 years ago
Work out 38-7/2+5 to two decimal places​
Agata [3.3K]
31/7 = 4.43 (rounded)
8 0
4 years ago
Read 2 more answers
Skippy has a total of $10,000 to split between two investments. One account offers 4% simple interest, and the other account off
ki77a [65]

Skippy should invest $ 7500 in account offering 4 % interest and $ 2500 in account offering 8 % simple interest

<em><u>Solution:</u></em>

Given that Skippy has a total of $10,000 to split between two investments

One account offers 4% simple interest, and the other account offers 8% simple interest

Total interest earned = 500

Number of years = 1

Let the principal with rate of interest 4 % is x

So the principal for rate of interest 8 % is 10000 - x

Total interest earned = simple interest for 4 % interest + simple interest for 8 % interest

Simple interest is given as:

S.I = \frac{pnr}{100}

Where "p" is the principal and "r" is the rate of interest and "n" is the number of years

Therefore,

\text{ Total interest earned } = \frac{x \times 1 \times 4}{100} + \frac{10000-x \times 1 \times 8}{100}

500 = 0.04x + (10000 - x)0.08\\\\500 = 0.04x + 800 - 0.08x\\\\-300 = -0.04x\\\\x = 7500

Therefore skippy should invest $ 7500 in account offering 4 % interest

And skippy should invest (10000 - x) = (10000 - 7500) = $ 2500 in account offering 8 % interest

4 0
3 years ago
Which of the following graphs represents the equation y-2=3(x-1)
almond37 [142]

there are no graphs but the equation is y=3x-1

5 0
4 years ago
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