Answer:
a. x=8
b.Step 1: Simplify both sides of the equation.
2(2x−2)=4x−4
(2)(2x)+(2)(−2)=4x+−4(Distribute)
4x+−4=4x+−4
4x−4=4x−4
Step 2: Subtract 4x from both sides.
4x−4−4x=4x−4−4x
−4=−4
Step 3: Add 4 to both sides.
−4+4=−4+4
0=0
Answer:
All real numbers are solutions.
c. Step 1: Simplify both sides of the equation.
3(x+1)=4x+7−x
(3)(x)+(3)(1)=4x+7+−x(Distribute)
3x+3=4x+7+−x
3x+3=(4x+−x)+(7)(Combine Like Terms)
3x+3=3x+7
3x+3=3x+7
Step 2: Subtract 3x from both sides.
3x+3−3x=3x+7−3x
3=7
Step 3: Subtract 3 from both sides.
3−3=7−3
0=4
all credit goes to mathpapa
.08 , .6, 4, 20
.08 has a hundredth value, while .6 has a tenth value. You could also look at .6 as .60 which might help.
<span>In our equations, you can use the generic form of y = mx + b to determine the y-intercept for the function, with b equal to the y-intercept. For g(x), b =2 and for f(x), b=-1. These values are the y-intercepts for the functions. Based on this, the y-intercept of f(x) is 3 units below the y-intercept of g(x). We know this because we can subtract the b value from f(x) from g(x) to get the difference. Difference = 2 - (-1) = 3.</span>
Answer:
17. 10x+24 OR 108 18. 72 19. 8.4
Step-by-step explanation:
(10x+24)+72=180
10x+96=180
10x=84
x=8.4
10x+24
10(8.4)+24
84+24
108
Answer:
3(x - 12)(x + 2)
Step-by-step explanation:
Given
3x² - 30x - 72 ← factor out 3 from each term
= 3(x² - 10x - 24) ← factor the quadratic
Consider the factors of the constant term (- 24) which sum to give the coefficient of the x- term (- 10)
The factors are - 12 and + 2 , since
- 12 × 2 = - 24 and - 12 + 2 = - 10 , thus
x² - 10x - 24 = (x - 12)(x + 2) and
3x² - 30x - 72 = 3(x - 12)(x + 2)
