Answer:
Explanation:
1.
x^2 - 10x + 24
= (x - 6)(x - 4)
2.
x^2 - 12x + 27
= (x - 9)(x - 3)
3.
x^2 - 13x + 36
= (x - 9)(x - 4)
4.
x^2 - 5x - 14
= (x - 7)(x + 2)
5.
x^2 + x - 20
= (x + 5)(x - 4)
6.
x^2 - 3x - 40
= (x - 8)(x + 5)
7.
x^2 + 2x - 48
= (x - 8)(x + 6)
8.
x^2 + 10x - 24
= (x - 2)(x + 12)
9.
x^2 - 7x - 44
= (x - 11)(x + 4)
10.
x^2 + x - 2
= (x + 2)(x - 1)
11.
x^2 + 2x + 1
= (x + 1)(x + 1)
12.
x^2 - x - 6
= (x - 3)(x + 2)
The answer to your question is 16.25.. just use a calculator
Answer:
30 units
Step-by-step explanation:
Look at the top layer of the prism, The width is <em>3</em> units the length is <em>5</em> units.
Take and multiply <em>LxW</em> <em>3 x 5</em> which is <em>15</em>.
Sense the height is <em>2</em> multiply <em>15</em> times <em>2</em> to get <em>30</em>.
<u><em>Hope this helps have a good day!</em></u>
The two answers are the one selected and the choice |x-5| ≤ 1. The steps to solve the other equation are:
|x-5| ≤ 1
x-5 ≤ 1, x-5 ≥ 0
-(x-5) ≤ 6, x-5 is less than 0
x ≤ 6, x ≥ 5
x ≥ 4, x is less than 5
x ∈ [5,6]
x ∈ [4,5]
4 ≤ x ≤ 6
(^which was the original answer^)
The piece-wise linear functions can be written as follows:
.
.
.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
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