In a direct variation, y=39 when x=3. Find the value of y when x=2
Answers
Direct variation means when one quantity is increased the other also increases or when one quantity is decreased the other also decreases.
Therefore as the variable x is decreased to 2 the variable y is also decreased to 26.
Indirect variation means when one quantity is increased the other decreases or when one quantity is decreased the other is increased.
The variations can be solved by unitary method or cross product method
The crossproduct method employs the numbers directly .
x: y
3:39
2: k
Here k is the unknown quantity.
Using the cross product rule
3 × k= 2× 39
k= 78/3= 26
The missing value of k is found to be 26.
y = 26
The equation for direct variation is y = kx ← k is the constant of variation
to find k use the condition y = 39 when x = 3
k = =
= 13
equation is y = 13x
when x = 2 then y = 13 × 2 = 26
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How do I write 9540000 in expanded form using exponents to show powers of 10
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27÷3=9
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4( 4a + 20b ) → 4( 4a) + ( 4 + 20b ) → 16a + 24b.
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Answers
Answer:
The length of hypotenuse is 12.5
Step-by-step explanation:
First 7.5 x 7.5 = 56.25
Then 10 x 10 = 100
Add them together 56.25 + 100 = 156.25
Then square root 156.25 and you get 12.5
Answer:
12.5 in.
Step-by-step explanation:
You could use the pythagorean theorem, or you can use scale factor. The scale factor between side A and A' is 7.5/3=2.5, which is your scale factor. Multiplying 2.5 by your original hypotenuse gives you 12.5
Answers
The solution to the given inequality 4 - 9x ≤ -14 is x ≥ 2.
To solve the inequality 4 - 9x ≤ -14, we can follow these steps:
Step 1: Subtract 4 from both sides of the inequality:
4 - 4 - 9x ≤ -14 - 4
-9x ≤ -18
Step 2: Divide both sides of the inequality by -9. Remember, when dividing by a negative number, we need to reverse the inequality sign:
(-9x) / -9 ≥ (-18) / -9
x ≥ 2
Therefore, the solution to the inequality 4 - 9x ≤ -14 is x ≥ 2.
This means that any value of x that is greaterthan or equal to 2 satisfies the inequality.
Learn more about inequalities here:
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The correct question is as follows:
Solve the inequality.
4-9x ≤ -14
4 - 4 - 9x = -14 - 4
9/9x = -18/9
x = -2
3
4
5
6
y
4
4
2
5
А. (3, 4)
В. (3, 4), (4, 4), (5, 2), (6, 5)
с. {3, 4, 5, 6}
D. {2, 4, 5}
Answers
Answer: D
Step-by-step explanation:
when you look at the range, you're looking at the Y values. you start with the smallest number and put them in order from least to greatest, no repeats. (ex: 4,4,8,3,12 would become 3,4,8,12
Answers
210/70=3
basically 70 times what equals 210, well take 210 and divide it by 70, you will get 3
3*7=21 so 3*70=210