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Vlada [557]
2 years ago
5

Y varies inversely with x. If y = -8 when x = -7, find the y when x=-4.

Mathematics
1 answer:
lora16 [44]2 years ago
8 0

Answer:

y =-14

Step-by-step explanation:

Inverse variation is of the form

xy = k where k is a constant

(-7)(-8) = k

56 = k

The equation is

xy = 56

Let x = -4

(-4)y = 56

y = 56/-4

y =-14

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On Saturday, Lukas drove 4x – 5 miles. On Sunday, he drove 3x – 10 miles. What is the difference in miles driven?
Soloha48 [4]

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C

Step-by-step explanation:

(4x-5) - (3x-10) = ?

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3 years ago
[20 pts] evaluate the logarithm log(6)1/36​, show work pls!
Delvig [45]

Answer:

\large\boxed{\log_6\dfrac{1}{36}=-2}

Step-by-step explanation:

\text{We know:}\\\\\log_ab=c\iff a^c=b\\\\\log_6\dfrac{1}{36}\qquad\text{use}\ a^{-1}=\dfrac{1}{a}\\\\=\log_636^{-1}=\log_6(6^2)^{-1}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\log_66^{(2)(-1)}=\log_66^{-2}\qquad\text{use}\log_ab^n=n\log_ab\\\\=-2\log_66\qquad\text{use}\ \log_aa=1\\\\=-2(1)=-2

\log_6\dfrac{1}{36}=-2\ \text{because}\ 6^{-2}=\dfrac{1}{6^2}=\dfrac{1}{36}

8 0
3 years ago
Help pleas Describe the power function f(x)=x^5. What does it look like? Where does it cross the x- and y-axis? How many turns d
dezoksy [38]

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Step-by-step explanation:For an increasing function like this, the end behavior at the right "end" is going to infinity. Written like: as x→∞,y→∞ . That means that large powers of 5 will continue to grow larger and head toward infinity. For example, 53=125 .

5 0
2 years ago
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