Answer:
see explanation
Step-by-step explanation:
x² + 3x + 7 = 5 ( subtract 5 from both sides )
x² + 3x + 2 = 0 ← in standard form
(x + 2)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x ( zero product rule )
x + 2 = 0 → x = - 2
x + 1 = 0 ⇒ x = - 1
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x² - 2 = - 2x² + 5x ( subtract - 2x² + 5x from both sides )
3x² - 5x - 2 = 0 ← in standard form
(3x + 1)(x - 2) = 0 ← in factored form
Equate each factor to zero and solve for x
3x + 1 = 0 ⇒ 3x = - 1 ⇒ x = - 
x - 2 = 0 ⇒ x = 2
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(x + 3)² + 4x = 0 ← expand left side using FOIL and simplify
x² + 6x + 9 + 4x = 0
x² + 10x + 9 = 0 ← in standard form
(x + 9)(x + 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 9 = 0 ⇒ x = - 9
x + 1 = 0 ⇒ x = - 1
The only point which is a solution is C
Answer:
30 square feet
Step-by-step explanation:
The area of a trapezoid is equal to (a+b)/2 * h
In this case, the value of a is 5, b is 10, and h is 4. You can substitute those numbers into the formula and get the answer of 30.
Answer:
400%
Step-by-step explanation:
We can write a percent proportion:
600/x = 150/100
a:b = c:d
a and d are linked and b and c are linked. So if a is missing, you would do (b*c)/d to get a, if b was missing, you would do (a*d)/c to get b, etc.
So over here we do
(600*100)/150 = 60,000/150 = 400, so x = 400, so that means it's 400% of 150
We can also use benchmark fractions which I find much easier:
100% of 150 is 150.
So 200% of 150 is 300
So 300% of 150 is 450
And 400% of 140 is 600
Every time it increases by 100%, it also increases by 150 on the other side, which makes sense
Let me know if you have any questions.
Answer:
The Answer After You Divide....
Step-by-step explanation:
The answer after we divide one number by another. dividend ÷ divisor = quotient. Example: in 12 ÷ 3 = 4, 4 is the quotient. Division.
