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enot [183]
3 years ago
8

Determine the inverse function of f(x)=

{4x-1} " alt=" \sqrt{4x-1} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
gladu [14]3 years ago
7 0
f(x)=\sqrt{4x-1}\\
y=\sqrt{4x-1}\\
y^2=4x-1\\
4x=y^2+1\\
x=\dfrac{y^2+1}{4}\\
f^{-1}(x)=\dfrac{x^2+1}{4}\\
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a ladder leans against the side of a house makes a angle of 60° with the ground. the foot of the ladder is 7 ft from the house.
ExtremeBDS [4]
From your knowledge of equilateral triangles, you know that an altitude is also a median. The long side of a 30°-60°-90° triangle is twice the length of the shortest side.

The ladder is 14 ft long.

7 0
3 years ago
What is the range of the function represented by these ordered pairs? {(–2, 1), (0, 0), (3, –1), (–1, 7), (5, 7)}
qaws [65]
The range is the set of y coordinates (or outputs). For any point (x,y) the y coordinate is the second number listed. For example, with (8,7) the y coordinate is 7.

So we simply list all of the y coordinates of each ordered pair. Those values are: 1, 0, -1, 7, 7

Let's order them as you would see on a number line

-1, 0, 1, 7, 7

then let's toss out the extra 7 to get

-1, 0, 1, 7

So the range is the set {-1, 0, 1, 7}
5 0
2 years ago
Segment EF is a mid segment of triangle ABC. If EF = 15 cm, what is the measure of segment BC?
vaieri [72.5K]

Answer:

30

Step-by-step explanation:

6 0
3 years ago
The capacity of the milk pitcher on the counter is 9/10 liter each one pitcher has3/8 of milk in it and the other pitcher has 5/
KatRina [158]

Answer:

57/80L

Step-by-step explanation:

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1st Pitcher is 3/8 full of milk

Hence Vol of milk in 1st pitcher = 9/10 x 3/8 = 27/80L

2nd Pitcher is 5/12 full of milk

Hence Vol of milk in 2nd pitcher = 9/10 x 5/12 = 3/8 = 30/80L

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4 0
3 years ago
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dmitriy555 [2]

Answer:

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3 out of 18 cups, so 3 cups.

5 0
2 years ago
Read 2 more answers
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