Answer:
-7
Step-by-step explanation:
A constant number is a number that contains no variables like x and y. The only constant in that problem is -7.
Answer:
<em> </em>
<em></em>
<em></em>
Step-by-step explanation:
Given
Temperature = 98.6F
Range = 1.5F
Required
Write the absolute value inequality
Let the temperature be represented by x
We start by writing an expression for the difference between x and 98.6.
This can be written as x - 98.6
From the question, we understand that this difference is more than 1.5F
Representing this using absolute value inequality; we have

Solving further; this gives
or 
Make x the subject of formula in both cases
or 
or 
This can be rewritten as
or 
Combining these two inequalities;

Hence;
<em>The absolute inequality is </em>
<em></em>
<em>And the range of value is </em>
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Answer:
495
Step-by-step explanation:
Base area = 11*11 = 121
Lateral area = (11*4)*17/2 = 11*2*17 = 374
121+374=495
Answer:
Latisha correctly verified that x² + x - 12 = (x - 3)(x + 4)
Step-by-step explanation:
In the problem, each student was to give their explanation of why the statement above is correct. In order to know if this statement is correct, you can also simply multiply the terms after the equal sign.
(x - 3)(x + 4)
Use foil method to multiply.
x² - 3x + 4x - 12
Combine like terms.
x² + x - 12
You can also find out if the statement is correct is multiplying and adding the numbers together.
-3 * 4 = -12
-3 + 4 = 1
So, Latisha is correct because her explanation verified the statement above.
Answer:
p = 8
Step-by-step explanation:

Cross multiply
(2+p) * 3 = (7 + p) * 2 {Use distributive rule}
2*3 + p*3 = 7*2 + p *2
6+ 3p = 14 + 2p {subtract 2p form both sides}
6 + 3p - 2p= 14
6 + p = 14 {Subtract 6 form both sides}
p = 14 - 6
p = 8