5r + 15 = 0 ........?
Answers
Answer:
r = -3
Step-by-step explanation:
Simplifying
5r + 15 = 0
Reorder the terms:
15 + 5r = 0
Solving
15 + 5r = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Add '-15' to each side of the equation.
15 + -15 + 5r = 0 + -15
Combine like terms: 15 + -15 = 0
0 + 5r = 0 + -15
5r = 0 + -15
Combine like terms: 0 + -15 = -15
5r = -15
Divide each side by '5'.
r = -3
Simplifying
r = -3
Answer: R would equal -3
Step-by-step explanation:
5 x -3 = -15
-15 + 15 = 0
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Answers
A.length =5 1/2
width =5 in.
B. Length= 5 3/4 width 4 3/4 in.
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Answers
Hope this helps:)
Answers
Answer:
x f(x) g(x)
1 15 3
2 16 4
3 15 5
4 12 6
5 7 7
6 0 8
f(x) = g(x) when x = 5
Step-by-step explanation:
f(x) = -x² + 4x + 12
f(1) = -(1)² + 4(1) + 12 = 15
f(2) = -(2)² + 4(2) + 12 = 16
f(3) = -(3)² + 4(3) + 12 = 15
f(4) = -(4)² + 4(4) + 12 = 12
f(5) = -(5)² + 4(5) + 12 = 7
f(6) = -(6)² + 4(6) + 12 = 0
g(x) = x + 2
g(1) = 1 + 2 = 3
g(2) = 2 + 2 = 4
g(3) = 3 + 2 = 5
g(4) = 4 + 2 = 6
g(5) = 5 + 2 = 7
g(6) = 6 + 2 = 8
Final answer:
The solution to the equation f(x) = g(x), where f(x) = −x² + 4x + 12 and g(x) = x + 2, is x = 5. To find this, set the equations equal to each other, simplify, and then factor to solve for x.
Explanation:
To find the solution to the equation f(x) = g(x), we need to set the formulas given for each function equal to each other and then solve for x. We are given f(x) = −x² + 4x + 12 and g(x) = x + 2, so we write out the equation as follows:
−x² + 4x + 12 = x + 2
Now we need to solve this equation for x. First, let's simplify by gathering all terms to one side of the equation:
−x² + 4x - x + 12 - 2 = 0
This simplifies to −x² + 3x + 10 = 0
Next, we'll factor this quadratic equation to solve for x: -(x – 5)(x + 2) = 0.
Setting each factor equal to zero gives the solution: x = 5, x = -2. Looking back at the original options, only x = 5 is a viable option.
Learn more about Solving Equations here:
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Answers
Answer: 4
Step-by-step explanation:
The degree is the highest exponent , in which in this problem it is 4. The 3x counts as an exponent of 1 because the variable x is 1, and the 2 counts as an exponent of zero. Which means the degree is 4.
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Answers
Answer:
The answer is r≈2.82