3 years ago

Solve the following equation by completing the square 2x^2+4x=16

Mathematics

1 answer:

Eduardwww [97]3 years ago

7 0

Answer:

x=2,-4

Step-by-step explanation:

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To solve the formula M = 2P + 3Q for the variable Q

PolarNik [594]

Q=M-2P/3

because in order to solve for a variable you have to get alone. Make sense?

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3 years ago

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Over which interval is the graph of f(x) = one-halfx2 + 5x + 6 increasing?

kaheart [24]

Answer:

$\large\boxed{x\in[-5,\ \infty)}$

Step-by-step explanation:

$f(x)=\dfrac{1}{2}x^2+5x+6\\\\\text{The coeficient of}\ x^2\ \text{is the positive number. Therefore the parabola is op}\text{en up}.\\\\\text{If a parabola op}\text{en up, then the graph increasing in interval}\ (h,\ \infty),\\\text{and decreasing in interval}\ (-\infty,\ h).\ \text{Where}\ h\ \text{is a first coordinate of a vertex.}\\\\\text{For}\ y=ax^2+bx+c,\ h=\dfrac{-b}{2a}.\\\\\text{We have}\ a=\dfrac{1}{2}\ \text{and}\ b=5.\ \text{Substitute:}\\\\h=\dfrac{-5}{2\left(\frac{1}{2}\right)}=-\cdot\dfrac{5}{1}=-5.$

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3 years ago

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8z=4(2z+1) show step by step

Verizon [17]

8z=4(2z+1)
First you would distribute the constant into the numbers in the parentheses. so
8z=8z+4
then you would combine like terms which in this case would result in a zero.
8z-8z=0 So the z would be zero or no solution.

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3 years ago

Shannon’s rectangular countertop is 3 feet wide. It is 3 times as long as it is wide. Find the length and area of Shannon’s coun

kompoz [17]

Answer:

9 feet long

Step-by-step explanation:

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2 years ago

Which expression means “ 3 less than the quotient of a number and 7

Yanka [14]

X/7-3=6
X/7=6+3
X/7=9
7x9=63
63/7-3=6
9-3=6

I would say choice “C”

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2 years ago