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3 years ago

What is the solution of the equation 4x + 3y = 12 7x + 5y = 26

Mathematics

1 answer:

malfutka [58]3 years ago

4 0

The solution would be B) (18,-20)

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Factor Trinomials:

notka56 [123]

Answer:

1. $2(x+2)(x+5)$

2. $8(x+4)^{2}$

Step-by-step explanation:

Problem #1:

1. Find the GCF (Greatest Common Factor)

$GCF = 2$

2. Factor out the GCF and simplify.

$2(x^{2} +7x+10)$

3. Factor $x^{2} +7x+10$

Which two numbers add up to 7 and multiply to 10?

2 and 5

Rewrite the expression using the above.

$(x+2)(x+5)$

4. Done!

$2(x+2)(x+5)$

Problem #2:

1. Find the GCF (Greatest Common Factor)

$GCF=8$

2. Factor out the GCF and simplify.

$8(x^{2} +8x+16)$

3. Use the perfect square formula. $a^{2} +2ab+b^{2} =(a+b)^{2}$

$a = x\\b=4$

$(x+4)^{2}$

4. Done!

$8(x+4)^{2}$

8 0

2 years ago

HEEELP ME GEOMETRY HW #29 AND #30 I'VE BEEN STUCK ON IT FOR HOURS!!!!!

natulia [17]

On #29 x = 12 and <apb = 90° and <dcb = 40° and on #30 all I dont even understand, sorry

5 0

3 years ago

Which two numbers have a mean of 10 and a range of 4

Elden [556K]

Answer:

12 and 8

Step-by-step explanation:

set two numbers as x and y

mean of 10 → x+y/2=10

range of 4 → x-y=4

x+y=20

+ x-y=4

____________

2x=24, x=12

12-y=4, y=8

6 0

3 years ago

X 1/2 rational exponent

Lesechka [4]

Answer:

Step-by-step explanation:

7 0

2 years ago

Write 0.125 as if it was 2 to a power

Westkost [7]

Answer:

$2^{-3}$

Step-by-step explanation:

0.125 as a fraction is 125/1000 or 1/8

1 is the same as $2^{0}$ (anything to the power of 0 is 1)
8 is the same as 2³ (2 × 2 × 2 = 8)
$2^{0}$ ÷ 2³ = $2^{-3}$ (You subtract the powers: 0 - 3 = -3)

Hope this helps!

4 0

2 years ago