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2 years ago

Which expression is a factor of 4ab + 4a − 3b − 3?

1 answer:

7 0

<span>4ab + 4a − 3b − 3
=4a(b + 1) - 3(b+1)
= (b+1)(4a - 3)

(b+1) and (4a - 3) are factors

answer
</span><span>4a − 3</span>

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On average, Stan drinks 3/4 of a 8 ounce glass of water in 1/2 of an hour.

sweet [91]

<h3>Stan drinks 12 ounces of water in 1 hour</h3>

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

Given that,

Stan drinks 3/4 of a 8 ounce glass of water in 1/2 of an hour

Which means,

$\frac{3}{4}\ of\ 8\ ounce = \frac{1}{2}\ hour$

$\frac{3}{4} \times 8 = 0.5\ hour\\$

Therefore,

6 ounces is drank in 0.5 hour

We have to find the water he drinks in an hour

Let "x" be the water he drinks in 1 hour

Thus we get,

6 ounce = 0.5 hour

x ounces = 1 hour

This forms a proportion and we can solve the sum by cross multiplying

$6 \times 1 = 0.5 \times x\\\\0.5x = 6\\\\x = \frac{6}{0.5}\\\\x = 12$

Thus, he drinks 12 ounces of water in 1 hour

5 0

2 years ago

Which shows the factored form of x2 – 12x – 45? (x 3)(x – 15) (x – 3)(x – 15) (x 3)(x 15) (x – 3)(x 15).

Aleksandr [31]

The factors of the quadratic equation are (x+3) and (x-15).

<h2 /><h2>Given to us</h2>

$x^2-12x-45\\$

The factors of $x^2-12x-45\\$ .

<h3 /><h3>Solution</h3>

$x^2-12x-45\\$

As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².

therefore, dividing -12x into -15x and 3x,

$x^2-15x+3x-45\\$

Taking common out,

$x^2-15x+3x-45\\x(x-15)+3(x-15)\\(x+3)(x-15)$

Hence, the factors of the quadratic equation are (x+3) and (x-15).

Learn more about quadratic equations:

brainly.com/question/2263981

3 0

2 years ago

What is the slope of the line in this equation 2x – 4y = 6?

fomenos

Pretty sure it’s -4/2

4 0

3 years ago

Read 2 more answers

2c - 4p> -6 and 3c + 1 < 13

mel-nik [20]

what do you have to do???

5 0

3 years ago

How to do this question plz

sergeinik [125]

Answer:

The answer is yes.

Step-by-step explanation:

All you have to do is substitute the y, which is 5, and the x, which is 2, into the equation. When you solve it the answer in the end will be 5=5, which means that point (2,5) does line on that line.

3 0

3 years ago