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malfutka [58]
3 years ago
9

Factor each expression 77x+21

Mathematics
1 answer:
kaheart [24]3 years ago
4 0
77x + 21

We need to find the common factor between the coefficient and the constant.

77 ÷ 7 = 11
21 ÷ 7 = 3

7(11x + 3) is the factor of 77x + 21.

7(11x + 3) can be expanded using the distributive property of multiplication.

7(11x) + 7(3) = 77x + 21
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ser-zykov [4K]
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3 years ago
How do I solve these problems? ln(x) = 5.6 + ln(7.5) and log(x) = 5.6 - log(7.5)
SOVA2 [1]

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... e^ln(a) = a

... (a^b)·(a^c) = a^(b+c)

_____

1) Use the second rule and take the antilog.

... e^ln(x) = x = e^(5.6 + ln(7.5))

... x = (e^5.6)·(e^ln(7.5)) . . . . . . use the rule of exponents

... x = 7.5·e^5.6 . . . . . . . . . . . . use the second rule of logarithms

... x ≈ 2028.2 . . . . . . . . . . . . . use your calculator (could do this after the 1st step)

2) Similar to the previous problem, except base-10 logs are involved.

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8 0
3 years ago
What are the zeros of the quadratic function f(x) = 2x2 + 16x – 9?
Lena [83]
To find the zeros of this equation you need to first set it equal to zero
2x2 + 16x - 9 = 0
But since you can't FOIL this equation you need to move the non-variable number over
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Now solve for x by pulling an x out of the equation
x(2x + 16) = 9
x = 9
2x +16 = 9
2x = -7
x = -7/2
So your zeros would be at x = 9, and -7/2
7 0
3 years ago
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