Answer:
$6 Sweet t saved on green-eyed fleas new album .
Step-by-step explanation:
As given
Sweet t saved 20% of the total cost of the green-eyed fleas new album .
.If the regular price is $30.
20% is written in the decimal form.
![= \frac{20}{100}](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B20%7D%7B100%7D)
= 0.20
Thus
Sweet t saved on green-eyed fleas new album = 0.20 × 30
= $6
Therefore $6 Sweet t saved on green-eyed fleas new album .
Answer:
g(x) = - x² - 4 ⇒ A
Step-by-step explanation:
Let us revise the reflection and translation of a function
- If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
- If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) – k
f(x) = x² is the blue curve
g(x) is its image is the red curve
∵ g(x) is the image of f(x)
∵ f(x) is opened upward
∵ g(x) is opened downward
→ That means the sign of y-coordinates of all points on the blue
graph are opposite
∴ f(x) is reflected about the x-axis
∴ Its image is - f(x)
∵ The vertex of f(x) is (0, 0)
∵ The vertex of g(x) = (0, -4)
→ That means the function translated 4 units down
∴ - f(x) is translated 4 units down
∴ Its image is - f(x) - 4
∴ g(x) = - f(x) - 4
∵ f(x) = x²
∴ g(x) = - x² - 4
Answer:
p = -160
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
Step-by-step explanation:
<u>Step 1: Define</u>
p/5 = -32
<u>Step 2: Solve for </u><em><u>p</u></em>
- Multiply 5 on both sides: p = -160
Question:
Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?
Choose 1 answer:
![A.\ |1.7 - 1/2|](https://tex.z-dn.net/?f=A.%5C%20%7C1.7%20-%201%2F2%7C)
![B.\ |1.7 -(-1/2)|](https://tex.z-dn.net/?f=B.%5C%20%7C1.7%20-%28-1%2F2%29%7C)
C. None of the above
Answer:
![B.\ |1.7 -(-1/2)|](https://tex.z-dn.net/?f=B.%5C%20%7C1.7%20-%28-1%2F2%29%7C)
Step-by-step explanation:
Given
Numbers: 1.7 and -1/2
Required
Determine the distance
To calculate the distance, we start by calculating the difference between the given numbers;
![Difference = 1.7 - (-1/2)](https://tex.z-dn.net/?f=Difference%20%3D%201.7%20-%20%28-1%2F2%29)
Then, we calculate the distance;
<em>In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;</em>
Hence,
![Distance = |Difference|](https://tex.z-dn.net/?f=Distance%20%3D%20%7CDifference%7C)
Substitute
for Difference;
![Distance = |1.7 - (-1/2)|](https://tex.z-dn.net/?f=Distance%20%3D%20%7C1.7%20-%20%28-1%2F2%29%7C)
<em>Hence, the correct option is B</em>
Answer:
8 < 6x
Step-by-step explanation:
Just write what you see by the letters