Answer:
0
Step-by-step explanation:
The remainder theorem says when you are dividing P(x) by (x-c), then the remainder is P(c).
So we need to evaluate x^2+2x-15 for x=3.
3^2+2(3)-15
9+6-15
15-15
0
So the remainder is 0.
The value of 9−(−12) as an addition expression is 3.
<h3>What is a expression?</h3>
Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, the expression given is illustrated as:
-9 - (-12)
It's important to note that (-) × (-) = +
Therefore, -9 - (-12)
= - 9 + 12
= 3
Learn more about expressions on:
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Answer: Given : Joe’s Earnings and hour worked
The relationship between money earned and hours worked is linear.
Joe computes the slope between (4, 30) and (12, 90), then computes the slope between (4, 30) and (10, 75).
To Find : How do the two slopes compare?
Solution:
Hours worked Money earned
4 $30
10 $75
12 $90
22 $165
slope between (4, 30) and (12, 90),
= (90 - 30)/(12 - 4)
= 60/8
= 15/2
slope between (4, 30) and (10, 75)
= (75 - 30)/(10-4)
= 45/6
= 15/2
The slope between (4, 30) and (12, 90) and between (4, 30) and (10, 75) is the same.
Both Slopes are same.
i hope this helped and have a nice day/night
The value of x in the triangle is (a) 22
<h3>How to solve for x?</h3>
The complete question is in the attached image.
From the attached image of the triangle, we have:
Evaluate sin(45)
Solve for x
Divide
x = 22
Hence, the value of x is (a) 22
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<h3>The system of equations has infinitely many solutions</h3>
<em><u>Solution:</u></em>
<em><u>Given system of equations are:</u></em>
y = x + 2 ------ eqn 1
-3x + 3y = 6 -------- eqn 2
Solve the system of equations by substitution method
Substitute eqn 1 in eqn 2
-3x + 3(x + 2) = 6
-3x + 3x + 6 = 6
-3x + 3x = 6 - 6
0 = 0
If we end up with the same term on both sides of the equal sign, then we have infinite solutions
Thus the system of equations has infinitely many solutions
