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VladimirAG [237]
3 years ago
12

Suppose y varies directly as x, and y = 21 when x = 3. Find x when y = 42.

Mathematics
1 answer:
nata0808 [166]3 years ago
7 0

Answer:

x = 24

Step-by-step explanation:

y₂ - y₁

42 - 21 = 21

x + 21

3 + 21 = 24

So when y increases by 21, so does x.

x = 24

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The question is asking you to find the slope. Slope intercept form is writen:
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The slope would be 5 and the y-intercept would be 0.

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8 0
3 years ago
Read 2 more answers
What number divided by -7 is equal to -15​
steposvetlana [31]

Answer:

x = -105

Step-by-step explanation:

<u>What number</u> <u>divided by</u> <u>-7</u> <u>is equal to</u> <u>-15​</u>

         ∨                   ∨          ∨         ∨         ∨

         x                   ÷          -7         =        -15

Multiply -7 to both sides:

\frac{x}{-7}=15

x = -105

3 0
3 years ago
Please help explain how to solve problem 16?
Anarel [89]
Here is the problem.....√(15x + 10) = 2x+3

to remove the square root, we do the opposite which is to square everything.

(√(15x + 10))² = (2x + 3)²      (the square negates the square root)
15x + 10 = (2x +3)(2x + 3)    (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9  (combine like terms)
15x + 10 = 4x² + 12x + 9      (subtract 15x and 10 from each side)
-15x - 10          -15x - 10
0 = 4x² - 3x - 1                      (factor completely)
(x - 1) (4x + 1)                    (set each to equal 0)

x - 1 = 0                4x + 1 = 0
x = 1                      4x = -1
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place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.

answer is 1
4 0
3 years ago
5 ft, 7 in, - 3 ft, 10 in.
aliina [53]

Answer:

The answer would be 1 ft 9 in

Step-by-step explanation:


8 0
3 years ago
The sum of two consecutive odd integers is 84. Find the two integers.
Rudik [331]

Answer: n + (n + 2) = 84

Step-by-step explanation:

If n is the smallest integer, the other integer must be two more than that, because it has to be odd. The two numbers add up to 84, so the other side of the equation is 84.

5 0
3 years ago
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