Answer:
b
Step-by-step explanation:
D is the answer.
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In a proportional relationship, x and y will increase at the same rate. In order to find the value of x when y=4, we first have to find the ratio of x:y. We can do this by creating a fraction. After we know the ratio, simply replace the y value with 4 and solve for x. Here's the math:
y=15 when x=3 given values
y/x = 15/3 = 5 ratio of y to x
y=5x equation representing the proportional relationship
4=5x replace y with 4
4/5=x divide both sides by 5 to isolate x
Answer: The value of x=4/5 when y=4.
Hope this helps!
Answer:
28
Step-by-step explanation:
28%x250 is equal to 70.
1. (x² + 24) factors as the difference of two squares (x² - (-24)) where -24 is the square of the complex number i√24 = 2i√6. The factoring is
(x - 2i√6)(x + 2i√6)
2. The square of half the coefficient of the x-term needs to be added: 4.5² = 20.25
This number goes in both boxes.
3. This is the square of (y² +20), so the factorization is similar to that for problem 1.
y⁴ + 40y² + 400 = (y² + 20)² = (y -2i√5)²(y +2i√5)²