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3 years ago

Factor these expressions: A. 4x+12 B. 8r-14 C. 5x+35

Mathematics

1 answer:

vaieri [72.5K]3 years ago

5 0

A. 4(x+3)
B. 2(4r-7)
C. 5(x+7)

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Find the sum of the equation

stealth61 [152]

Answer:

$\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}$

Step-by-step explanation:

1) Rewrite ${y}^{2}-2y+1y$ in the form ${a}^{2}-2ab+{b}^{2}$ , where a = y and b = 1.

$\frac{y}{{y}^{2}-2(y)(1)+{1}^{2}}+\frac{6}{{y}^{2}+6y-7}$

2) Use Square of Difference: ${(a-b)}^{2}={a}^{2}-2ab+{b}^{2}$ .

$\frac{y}{{(y-1)}^{2}}+\frac{6}{{y}^{2}+6y-7}$

3) Factor ${y}^{2}+6y-7$ .

1 - Ask: Which two numbers add up to 6 and multiply to -7?

-1 and 7

2 - Rewrite the expression using the above.

$(y-1)(y-7)$

Outcome/Result: $\frac{y}{(y-1)^2} +\frac{6}{(y-1)(y+7)}$

4) Rewrite the expression with a common denominator.

$\frac{y(y+7)+6(y-1)}{{(y-1)}^{2}(y+7)}$

5) Expand.

$\frac{{y}^{2}+7y+6y-6}{{(y-1)}^{2}(y+7)}$

6) Collect like terms.

$\frac{{y}^{2}+(7y+6y)-6}{{(y-1)}^{2}(y+7)}$

7) Simplify ${y}^{2}+(7y+6y)-6y$ to ${y}^{2}+13y-6y$

$\frac{{y}^{2}+13y-6}{{(y-1)}^{2}(y+7)}$

5 0

1 year ago

Read 2 more answers

Estimate the difference.<br><br> 9,136 - 3,572

olga2289 [7]

Answer:

5500..?

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

it is always helpful to rewrite an equation in standard form as a first step in solving it, true or flase

tiny-mole [99]

False- answer hope it helps

4 0

2 years ago

Read 2 more answers

Solve the equation. Then check your solution.

s344n2d4d5 [400]

Step-by-step explanation:

1.6a= -9.12

a= -9.12/1.6

=−5.7

option B

7 0

2 years ago

3. Suppose the mystery bag had resulted in the following number of red chips. Using the simulated sampling distributions found e

Vinvika [58]

Answer:

a) 0.172

b) 0.167

c) 0.1404

Step-by-step explanation:

Margin of error, E = $2\times\sqrt{\frac{p(1-p)}{n}}$

here,

p = probability of the event

n = sample size

a) n = 30

p = 10 ÷ 30 = 0.333

Therefore,

E = $2\times\sqrt{\frac{0.333(1-0.333)}{30}}$

= 2 × 0.0861

= 0.172

b) n = 30

p = 21 ÷ 30 = 0.7

Therefore,

E = $2\times\sqrt{\frac{0.7(1-0.7)}{30}}$

= 2 × 0.0836

= 0.167

c) n = 30

p = 22 ÷ 50 = 0.44

Therefore,

E = $2\times\sqrt{\frac{0.44(1-0.44)}{50}}$

= 2 × 0.0702

= 0.1404

3 0

2 years ago