Answer:
X= -2/3, 4
Step-by-step explanation:
Answer: x = 28
Step-by-step explanation:
Let's solve your equation step by step!
3/8x + 15/2 = 18
Step 1: Subtract 15/2 from both sides.
3/8x + 15/2 - 15/2 = 18 - 15/2
3/8x = 21/2
Step 2: Multiply both sides by 8/3
(8/3) * (3/8x) = (8/3) * (21/2)
Step 3. Calculate
x = 28
Answers:
- The direct variation equation is y = 5x
- If x = 4, then y = 20
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Explanation:
Let's say that the letter k replaces the green box
We have the equation y = kx
Plug in (x,y) = (7,35) to get the equation 35 = k*7
Dividing both sides by 7 leads to k = 5
Therefore, the direct variation equation is y = 5x
We can check this by plugging in x = 7
y = 5x
y = 5*7
y = 35
So x = 7 leads to y = 35 as expected.
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Do the same for x = 4
y = 5x
y = 5*4
y = 20 when x = 4
Side note: direct variation equations always go through the origin.
96 = -6 * (-4 - 3y) <== It's easiest to solve when the y is on the right
↓
-6 * (-4 - 3y) = 96 <== Multiply the -6 by everything inside the
parentheses
<span>↓</span>
24 + 18y = 96 <== Subtract the 24 from both sides
↓
18y = 72 <== Divide both sides by 18
↓
y = 4
The correct answer is choice B. y = 4.
Hope that helped =)
Think of the inequalities as equations in the form of y=Mx+b. Notice how choices C and D match the line shown in the graph if they are seen as linear functions. Now look at the inequality. Since the shaded region is below the line, y must be less than what is input. The correct answer must be choice D.
-R
P.S. if you found this helpful, plz leave a “thanks”. Thx!
