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Natalka [10]
3 years ago
8

Which are like terms to the term 2x.

Mathematics
1 answer:
Anvisha [2.4K]3 years ago
4 0
X2, or 2X or X times 2, or X•2.
You might be interested in
The quadratic parent function has been reflected down, stretched vertically by a factor of 1/3, shifted vertically by 9 units an
zmey [24]

Answer:

1a) f(x) = -1/3(x + 12)² + 9

1b) f(x) = -1/3x² - 8x - 39

General Formulas and Concepts:

<u>Algebra I</u>

Equality Properties

Expand by FOIL (First Outside Inside Last)

Standard Form: ax² + bx + c = 0

Transformations Graph: f(x) = a(bx - c)² + d

  • a = vertical shrink/stretch
  • b = horizontal shrink/stretch
  • c = horizontal movement left/right
  • d = vertical movement up/down

Step-by-step explanation:

<u>Step 1: Define</u>

Reflected down and vertically stretched by 1/3:   a = -1/3

Shifted vertically by 9 units:   d = 9

Shifted horizontally by -12 units:   c = -12

<u>Step 2: Write Vertex Form</u>

  1. Define:                    f(x) = a(bx - c)² + d
  2. Substitute:              f(x) = -1/3(x + 12)² + 9

<u>Step 3: Write Standard Form</u>

  1. Define:                              f(x) = -1/3(x + 12)² + 9
  2. Expand:                             f(x) = -1/3(x² + 24x + 144) + 9
  3. Distribute -1/3:                  f(x) = -1/3x² - 8x - 48 + 9
  4. Combine like terms:         f(x) = -1/3x² - 8x - 39

And we have our final answers!

8 0
3 years ago
What are 4 key word that indicate that the problem involves an inequality?
Maslowich

Answer:

Less than, at max, greater than, at least

Or,

Not greater/more than, not less than

4 0
4 years ago
What is the area of a pizza with a diameter of 12 inches? Round to the nearest tenth. Use 3.14 for pi.
Flauer [41]

Answer:

\boxed {\boxed {\sf a \approx 113.0 \ in^2}}

Step-by-step explanation:

Assuming this pizza is a circle, we can use this formula for area:

a= \pi r^2

1. Find Radius

We are given the diameter: 12 inches, but the formula uses radius.

The radius is half the diameter, or:

r=\frac{d}{2}

r=\frac{12 \ in}{2}

r= 6 \ in

2. Calculate Area

Substitute the radius (6 inches) in for r. The question also asks us to use 3.14 for pi.

a= (3.14)(6 \ in)^2

Solve the exponent.

  • (6 in)²= 6 in* 6 in= 36 in²

a= (3.14)(36 \ in^2)

Multiply.

a= 113.04 \ in^2

3. Round

The question asks us to round to the nearest tenth.

The 4 in the hundredth place tells us to leave the 0 in the tenth place.

a \approx 113.0 \ in^2

The area of the pizza is about 113.0 square inches.

7 0
3 years ago
Find the value of x in each case.​
MissTica

Answer:

The angle X in every part of the triangle is 22.5⁰

7 0
3 years ago
Slope and y intercept
morpeh [17]

Answer:

y=\frac{25}{1}x+75

The beginning balance of Sophie's account is 75

Step-by-step explanation:

Using the slope intercept form aka y=mx+b

The slope of a line describes how steep a line is.

  • We can see that the y-axis goes up by 25.
  • 25, 50, 75, 100, 125, 150 etc

<u>$ is how much you have in your bank account.</u>

<em>We can see that Sophie starts off with 75 dollars.</em>

In the first week, we see that Sophie has 100 dollars. In the second week, we see that Sophie has 125.

<h3>how to find the slope</h3>

slope formula\\m=\frac{rise(y)}{run(x)}=\frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

The first week (1, 100)

The second week (2,125)

(x_{1}, y_{1})= 1, 100\\(x_{2}, y_{2})= 2, 125\\m=\frac{125-100}{2-1}=\frac{25}{1}    \\Up 25 (aka, 1 line), over 1(aka 2 lines)

<em></em>

7 0
3 years ago
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