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Monica [59]
3 years ago
10

Which will result in a difference of squares?

Mathematics
2 answers:
otez555 [7]3 years ago
5 0

Expanding the given expressions using Foil:

1)(–7x + 4)(–7x + 4) =7x^{2}-28x-28x+16=49x^{2}-56x+16

2) (–7x + 4)(4 – 7x)=-28x+49x^{2}+16-28x=49x^{2}-56x+16.

3)(–7x + 4)(–7x – 4)=49x^{2}+28x-28x-16=49x^{2}-16.

4)(–7x + 4)(7x – 4)=49x^{2}+28x+28x-16=49x^{2}+56x-16.

The third option that is (–7x + 4)(–7x – 4) is difference of two squares.

lukranit [14]3 years ago
4 0
The third one (-7x+4)(-7x-4)
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Manny can assemble a computer by himself in 50 minutes. Lucy does the same job in 45 minutes. How long will it take to assemble
jonny [76]
Manny can assemble a computer in 50 minutes. That means, in a minute Manny does \frac{1}{50} job.

Lucy can assemble a computer in 45 minutes. That means, in a minute Lucy does \frac{1}{45} job.

If they are working together, in a minute they will do:
\dfrac{1}{50} + \dfrac{1}{45}
= \dfrac{9}{450} + \dfrac{10}{450} \text{(equalize the denominator)}
=\dfrac{19}{450}
In a minute they will do \frac{19}{450} job

To finish the job they will do it in \frac{450}{19} minutes or about 24 minutes.
5 0
3 years ago
Can someone that's very good at math please help me?
gtnhenbr [62]

Answer:

35 :

t = 6.25 years

(about 6 years 3 months)

Equation:

t = (1/r)(A/P - 1)

Calculation:

First, converting R percent to r a decimal

r = R/100 = 4%/100 = 0.04 per year,

then, solving our equation

t = (1/0.04)((2500/2000) - 1) = 6.25

t = 6.25 years

The time required to get a total amount, principal plus interest, of $2,500.00 from simple interest on a principal of $2,000.00 at an interest rate of 4% per year is 6.25 years (about 6 years 3 months).

36:

The two distances are the same (out and back), so set them equal.

That is done by having a (rate)(time) equal a (rate)(time).

One time is “x” and the other is “4.8-x.”

One rate is 460 and the other is 500.

460 x = 500 (4.8 -x)

460 x = 2400 - 500x

900 x = 2400

x = 2.5 hours for the slower plane.

4.8- x = 2.3 hours for the faster plane.

8 0
3 years ago
G(t) = 3t + 4; Find g(−3)
Bess [88]
G(-3)= 3(-3)+4

g(-3) = -5
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svetlana [45]
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8 0
3 years ago
How can you use fractions to place the decimal in the product?
Oxana [17]

Answer:

it is easier to multiply first and then to place the decimal point. Multiply the factors as if they were whole numbers. Disregard the decimal point until you place it in the product.

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