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3 years ago

5

Plz explain this one I'm in hurry

1 answer:

Mamont248 [21]3 years ago

7 0

Answer: (3, 8)

<u>Step-by-step explanation:</u>

<u>x | y</u>
<u>3 | 8</u>
<u>6 | 6</u>
<u>7 | 8</u>
<u>9 | 12</u>

Notice that y=8 when x=3 and when x=7, so this is either a parabola or an absolute value function.

The axis of symmetry passes the midpoint of x=3 and x=7 so the axis of symmetry is x = 5.

(6,6) is given. It's mirror image <em>across the axis of symmetry</em> is (4, 6).

Similarly, (9, 12) is given. It's mirror image is (1, 12).

And (7, 8) is given. It's mirror image is (3, 8). This is the only pair available as given options for this question.

<em>Side note: Notice that the slope between (6, 6), (7, 8), and (9, 12) is the same (equal to 2) so this is the graph of an absolute value function.</em>

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Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

Marina86 [1]

Answer:

x=1+i√19,1-i√19

Step-by-step explanation:

Write the problem as a mathematical expression.

Subtract from both sides of the equation.

Use the quadratic formula to find the solutions.

Substitute the values, and into the quadratic formula and Simplify.

Simplify the numerator. Multiply by Simplify

4 0

3 years ago

Select the correct answer. If g = 8, what is the value of the expression g/2+3 ? A. 8/5 B.11/2 C. 7 D. 19

Zigmanuir [339]

Answer:

<h2>7 </h2>

Option C is the correct option

Step-by-step explanation:

g = 8 ( given )

Now,

$\frac{g}{2} + 3$

Plugging the value of g

$\frac{8}{2} + 3$

$\frac{8 + 3 \times 2}{2}$

$\frac{8 + 6}{2}$

$\frac{14}{2}$

$7$

Hope this helps...

Good luck on your assignment...

3 0

3 years ago

-4,4 reflected in the y axis

matrenka [14]

-4,4 reflected in the y axis is 4,4

5 0

3 years ago

What is the slope of the line described by the equation below?

Harrizon [31]

Answer:

-6

Step-by-step explanation:

y=-6x + 3

This is in the form y = mx+b where m is the slope and b is the y intercept

The slope is -6 and the y intercept is 3

6 0

4 years ago

Read 2 more answers

I know you want to answer this question.

Alik [6]

Answer:

D. x = 3

Step-by-step explanation:

$\frac{1}{2} ^{x-4}$ - 3 = $4^{x-3}$ - 2

First, convert $4^{x-3}$ to base 2:

$4^{x-3}$ = $(2^{2})^{x-3}$

$\frac{1}{2} ^{x-4}$ - 3 = $(2^{2})^{x-3}$ - 2

Next, convert $\frac{1}{2} ^{x-4}$ to base 2:

$\frac{1}{2} ^{x-4}$ = $(2^{-1})^{x-4}$

$(2^{-1})^{x-4}$ - 3 = $(2^{2})^{x-3}$ - 2

Apply exponent rule: $(a^{b})^{c}$ = $a^{bc}$ :

$(2^{-1})^{x-4}$ = $2^{-1*(x-4)}$

$2^{-1*(x-4)}$ - 3 = $(2^{2})^{x-3}$ - 2

Apply exponent rule: $(a^{b})^{c}$ = $a^{bc}$ :

$(2^{2})^{x-3}$ = $2^{2(x-3)}$

$2^{-1*(x-4)}$ - 3 = $2^{2(x-3)}$ - 2

Apply exponent rule: $a^{b+c}$ = $a^{b}$ $a^{c}$ :

$2^{-1(x-4)}$ = $2^{-1x}$ * $2^{4}$ , $2^{2(x-3)}$ = $2^{2x}$ * $2^{-6}$

$2^{-1 * x}$ * $2^{4}$ - 3 = $2^{2x}$ * $2^{-6}$ - 2

Apply exponent rule: $(a^{b})^{c}$ = $a^{bc}$ :

$2^{-1x}$ = $(2^{x})^{-1}$ , $2^{2x}$ = $(2^{x})^{2}$

$(2^{x})^{-1}$ * $2^{4}$ - 3 = $(2^{x})^{2}$ * $2^{-6}$ - 2

Rewrite the equation with $2^{x} = u$ :

$(u)^{-1}$ * $2^{4}$ - 3 = $(u)^{2}$ * $2^{-6}$ - 2

Solve $u^{-1}$ * $2^{4}$ - 3 = $u^{2}$ * $2^{-6}$ - 2:

$u^{-1}$ * $2^{4}$ - 3 = $u^{2}$ * $2^{-6}$ - 2

Refine:

$\frac{16}{u}$ - 3 = $\frac{1}{64}$ $u^{2}$ - 2

Add 3 to both sides:

$\frac{16}{u}$ - 3 + 3 = $\frac{1}{64}$ $u^{2}$ - 2 + 3

Simplify:

$\frac{16}{u}$ = $\frac{1}{64}$ $u^{2}$ + 1

Multiply by the Least Common Multiplier (64u):

$\frac{16}{u}$ * 64u = $\frac{1}{64}$ $u^{2}$ + 1 * 64u

Simplify:

$\frac{16}{u}$ * 64u = $\frac{1}{64}$ $u^{2}$ + 1 * 64u

Simplify $\frac{16}{u}$ * 64u:

1024

Simplify $\frac{1}{64}$ $u^{2}$ * 64u:

$u^{3}$

Substitute:

1024 = $u^{3}$ + 64u

Solve for u:

u = 8

Substitute back u = $2^{x}$ :

8 = $2^{x}$

Solve for x:

x = 3

4 0

4 years ago