Solve 2x2 + 12x − 14 = 0 by completing the square, options: A. 2(x + 6)2 = 26; x = −6 + square root 13, x = −6 − square root 13 B. 2(x + 6)2 = 20; x = −6 + square root 20, x = −6 − square root 20 C. 2(x + 3)2 = 32; x = 1, x = −7 D. 2(x + 3)2 = 32; x = 13, x = 19
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anothe way is undistribute the 2 first and move -14 to side
2(x^2+6x)-14=0
comlete the squer inside and add negative
2(x^2+6x+9-9)-14=0
factor perfect square
2((x+3)^2-9)-14=0
distribute
2(x+3)^2-18-14=0
2(x+3)^2-32=0
add 32 both sides
2(x+3)^2=32
divide 2
(x+3)^2=16
sqrt both sides
x+3=+/-4
minus 3
x=-4-3 or 4-3
x=1 or -7
answer is C
Answer:
the answer is c: 2(x + 3)2 = 32; x = 1, x = −7
Step-by-step explanation:
I took the test
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Can someone please help me
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If 3 notebooks cost $3.51, how much would 7 notebooks cost?
What is a rational number between -1/6 and -2/6
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then you would compare that perimeter to the perimeter of the square.
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Let s = soft drink
4h + s = 6.30...Equation A
h + 4s = 4.20...Equation B
We have two equations in two unknowns. The unknowns are the variables h and s.
I will solve for s in Equation A by subtracting 4h from both sides.
s = -4h + 6.30
I will now replace s in Equation B with -4h + 6.30 to find the price of one hot dog.
h + 4(-4h + 6.30) = 4.20
h -16h + 25.2 = 4.20
-15h = -25.2 + 4.20
-15h = -21
Divide both sides by -15.
h = -21/-15
h = 21/15
h = 7/5
h = $1.40
We now know the value of one hot dog.
Go back to EITHER Equation A or B, replace h with 1.40, do the algebra and you will find the price of one soft drink.
Answers
Answer:
3√11
Step-by-step explanation:
You use the Pythagorean Therom, 18^2-15^2 give you 99. You find the square root of 99, you break it down into 9 and 11. Take the square root of 9, which is three, and you cant seperate 11. So thats how you get 3√11
Answer:
3√11 is your correct answer!
Step-by-step explanation:
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You multiply the number outside the brackets by EVERYTHING inside the brackets so,
2(x+3)
=2x+6 *Notice how 2(x)=2x and 2(3)=6.*
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Answer:
Linear
Step-by-step explanation:
This can be written in slope intercept form (y=-5x+7) and there are no exponents.