Answer:
-12r² + 10xr - 15x + 34r - 24
Step-by-step explanation:
1. Organize it, variables first - as well as adding constants such as 4 and -7
(5x - 6r + 8) (2r - 3)
2. Start by multiplying the 5x by (2r - 3), then -6r, followed by 8
(10xr - 15x) + (-12r^2 + 18r) + (16r - 24)
3. Simplify
10xr - 15x - 12r² + 18r + 16r - 24
4. Order by greatest to smallest factorial
-12r² + 10xr - 15x + 18r + 16r - 24
5. Combine like variables
-12r² + 10xr - 15x + 34r - 24
A function assigns the values. The value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.
<h3>What is a Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given the function f(x)=-x²-4x+5, therefore, the value of f(x) when the value of x is -3 is,
f(-3) = -(-3)² - 4(-3) + 5
f(-3) = -9 + 12 + 5
f(-3) = 8
Now, the value of f(x) when the value of x is 3 is,
f(3) = -(3)²-4(3)+5
f(3) = - 9 - 12 + 5
f(3) = -16
further, the value of f(3) + f(-3) is,
f(3) + f(-3) = -16 + 8
f(3) + f(-3) = -8
Hence, the value of f(-3) and f(3) + f(-3) is 8 and -8, respectively.
Learn more about Function:
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Answer:
111.76 cm
Step-by-step explanation:
The formula for the perimeter of a triangle is given as:
Side A + Side B + Side C
Since our final answer is going to be in centimeters we have to convert the sides from inches to centimeters
Hence:
1 inch ~ 2.54 centimeters
For 12 inches
1 inch = 2.54 cm
12 inches = x
Cross Multiply
x = 12× 2.54 cm
x = 30.48 cm
For 14 inches
1 inch = 2.54 cm
14 inches = x
Cross Multiply
x = 14× 2.54 cm
x = 35.56 cm
For 18 inches
1 inch = 2.54 cm
18 inches = x
Cross Multiply
x = 18× 2.54 cm
x = 45.72 cm
Hence, the perimeter of the triangle
= 30.48 cm + 35.56 cm + 45.72 cm
= 111.76 cm
Answer:
<em>B. a = y - k/(x-h)² </em>
Step-by-step explanation:
Given the expression y = a (x-h)² + k
First make a the subject of the formula
Subtract k from both sides
y = a (x-h)² + k
y- k = a (x-h)² + k - k
y - k = a (x-h)²
Divide through by (x-h)²
y - k/(x-h)² = a
a = y - k/(x-h)²
Hence option B is correct
