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3 years ago

Judy solved the quadratic equation

Mathematics

2 answers:

cestrela7 [59]3 years ago

8 0

Answer:

A. Judy made a mistake between Steps 1 and 2.

She did not factor x² – 16=0 correctly.

x² – 16=0 is factored as:

(x +4) (x-4) = 0

Therefore, x = -4 and x = 4

Step-by-step explanation:

Lapatulllka [165]3 years ago

5 0

Answer:

I think it's D

Step-by-step explanation:

Because all of them are true

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What is the value of x in the equation x - 2/3 + 1/6 = 5/6? 1) 4 2) 6 3) 8 4) 11

Licemer1 [7]

Answer:

$\large\boxed{x=\dfrac{4}{3}=1\dfrac{1}{3}}$

Step-by-step explanation:

$x-\dfrac{2}{3}+\dfrac{1}{6}=\dfrac{5}{6}\qquad\text{multiply both sides by 6}\\\\6x-6\!\!\!\!\diagup^2\cdot\left(\dfrac{2}{3\!\!\!\!\diagup_1}\right)+6\!\!\!\!\diagup^1\cdot\left(\dfrac{1}{6\!\!\!\!\diagup_1}\right)=6\!\!\!\!\diagup^1\cdot\left(\dfrac{5}{6\!\!\!\!\diagup_1}\right)\\\\6x-(2)(2)+1=5\\\\6x-4+1=5\\\\6x-3=5\qquad\text{add 3 to both sides}\\\\6x=8\qquad\text{divide both sides by 6}\\\\x=\dfrac{8}{6}\\\\x=\dfrac{8:2}{6:2}\\\\x=\dfrac{4}{3}$

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3 years ago

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Which of the following are polynomial functions?

Vinil7 [7]

A polynomial function is a function involving only non-negative (positive and 0) integer powers of 'x', i.e. all terms with ' 'x' have a non-negative integer power, such as a quadratic $x^{2} x^{3}$ and so on.

Option E is the answer.

Rest all are wrong answers. they do not have positive integers.

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3 years ago

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What are the x and y intercepts of the below equation

lozanna [386]

Plug in 0 for x
0 - 6y = 30
y = -5
Y intercept: (0,-5)

Plug in 0 for y
5x = 30
X = 6
X intercept: (6,0)

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2 years ago

Meg is 6 years older than Victor. Meg's age is 2 years less than five times Victor's age. The equations below model the relation

Verdich [7]

Since no possible correct method is posted, I will suggest a couple.

Method 1: guess and check

Works well for simple problems involving integers like this one.

Victor's age must be zero or greater than one, say one.

Guess v=1, find m=v+6=7, check m=5v-2=5-2=3 no good.

we need to make v bigger

Guess v=2, find m=v+6=2+6=8, check m=5v-2=5*2-2=8 ✔

So v=2, m=8.

Method 2:

Solve the system of two equations.

since the left-hand sides is m in both equations, and since m=m, we just have to equate the right-hand sides to solve for v.

5v-2=v+6

Solve for v

5v-v = 6+2

4v=8

v=2,

so again, v=2, m=v+6=2+6=8.

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3 years ago

What integer increased by - 12 is 28?

guajiro [1.7K]

Answer:

Step-by-step explanation:

Let n represent the integer. Then the increase can be written as ...

n + (-12) = 28

We can add 12 to both sides of this equation:

n + (-12) + (+12) = 28 +12

n + 0 = 40 . . . . . . -12 and 12 total to zero; 28 and 12 total to 40.

n = 40

The integer is 40.

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2 years ago