Answer:
c =2
Step-by-step explanation:
2(6c+2)+3c=2 (19 -c)
1. Distribute
2(6c +2 ) + 3c = 2 ( 19 - C )
12c + 4 +3c = 2 (19 - C )
2. Combine like terms
12c + 4 + 3c = 2 ( 19 - c )
15c + 4 = 2 (19 - c )
3. Rearrange terms
15c + 4 = 2( 19 - C )
15c + 4 = 2 ( -c + 19 )
4. Distribute
15c + 4 = 2 ( -c + 19 )
15c + 4 = -2c + 38
5. Subtract 4 from both sides of the equation
15c + 4 = -2c + 38
15c + 4 -4 = -2c + 38 -4
6. Simplify
Subtract the numbers
Subtract the numbers
15c = -2c +34
7. Add 2c to both sides of the equation
15c = -2 +32
15c +2c = -2c + 34 + 2c
8. Simplify
Combine like terms
Combine like terms
17c = 34
9.Divide both sides of the equation by the same term
17c = 34
17c/17 = 34/17
10. Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
c = 2
Answer
2
Step-by-step explanation:
(reorder terms)
<u>2x + 2x</u> = 8
collect like terms
<u>4x=8</u>
divide both sides of the equation
x = 2
Answer:
False
Step-by-step explanation:
-x^2+x is the same as x-x^2.
Only difference is the way it's written.
The slope of the line in the function is 1
<h3>Slope of Line</h3>
The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line. The net change in y coordinate is Δy, while the net change in the x coordinate is Δx. So the change in y coordinate with respect to the change in x coordinate can be written as,
m = y₂ - y₁ / x₂ - x₁
Taking two points;
Substituting the values into the formula;
m = -2 - 0 / 3 - 5
m = -2 / - 2
m = 1
The slope is calculated as 1
Learn more on slope of a line here;
brainly.com/question/16949303
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Answer:
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
Step-by-step explanation:
we have
This is a vertical parabola open upward (the leading coefficient is positive)
The vertex is a minimum
The coordinates of the vertex is the point (h,k)
step 1
Find the vertex of the quadratic function
Factor the leading coefficient 2
Complete the square
Rewrite as perfect squares
The vertex is the point (-\frac{3}{4},-\frac{49}{8})
step 2
Find the x-intercepts (values of x when the value of f(x) is equal to zero)
For f(x)=0
take the square root both sides
therefore
The function f(x) is negative in the interval (-2.5,1)
The function f(x) is positive in the interval (-≠,-2.5) ∪ (1,∞)
see the attached figure to better understand the problem
