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enyata [817]
2 years ago
10

Consider the graph of the function f(x)=(1/4)^x. Which statements describe key features of function f?

Mathematics
1 answer:
PolarNik [594]2 years ago
7 0

Answer: Asymptote at y=0; range of 0,infinity; y-intercept of (0,1)

Step-by-step explanation:

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Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​).
Fantom [35]

Answer:  y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form:  y = (5/9)x+(8/9).  [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5).  The y-intercept would also change, but we don't know the value, yet.  For now, we'll use "b" for the y-intercept.  This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​) is

y = -(9/5)x - 1

7 0
3 years ago
For which operations is the set {0, 1} closed?
velikii [3]
0 × <span>0 = 0
0 </span>× <span>1 = 0
1 </span>× <span>1 = 1

Which means multiplication is closed under {0, 1}

</span><span>1 </span>÷ <span>1 = 1
0 </span>÷ <span>1 = 0
</span>
Division is not closed under {0, 1}

1 + 1 = 2

Addition is not closed under {0, 1}

0 - 1 = -1

Subtraction is not closed under {0, 1} either



So it's only A. Multiplication which is closed under {0, 1}
5 0
4 years ago
8/9k + 9/5 = -4 - 9/7k
Mamont248 [21]

Answer:

k=-1827/685

Step-by-step explanation:

8/9k+9/5=-4-9/7k

8/9k-(-9/7k)=-4-9/5

8/9k+9/7k=-20/5-9/5

56/63k+81/63k=-29/5

137/63k=-29/5

k=(-29/5)/(137/63)

k=(-29/5)(63/137)

k=-1827/685

7 0
3 years ago
What is the image of the point (-1,-3)(−1,−3) after a rotation of 90 degrees counterclockwise about the origin?
ycow [4]

Answer:

(3,-1)

Step-by-step explanation:

6 0
3 years ago
Ratio as a fraction 12:36
poizon [28]

Step-by-step explanation:

12:36=\dfrac{12}{36}=\dfrac{12:12}{36:12}=\dfrac{1}{3}

7 0
3 years ago
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