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dmitriy555 [2]
3 years ago
6

Find the inverse function for y=3/4+x

Mathematics
1 answer:
Sonja [21]3 years ago
8 0

The inverse of this function is y = x - \frac{3}{4}


You can find the inverse of any function by switching the x and y values and then solving for the new y value. Once you've done that, what will be left over is the inverse function.


y = \frac{3}{4} + x ----> Swap x and y

x = \frac{3}{4} + x -----> Subtract 3/4 from both sides.

x - \frac{3}{4} = y ----> rearrange to appropriate order

y = x - \frac{3}{4}


And that is your inverse function.

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Please help! Thanks in advance.
alukav5142 [94]
In this problem, we need to plug in the given x values for f(x)=0 and find a and b.

When we plug in 1, we get: 2 \times {1}^{4} - 5 \times {1}^{3} - 14 \times {1}^{2} + a \times 1 + b = 0

Simplify:
2 - 5 - 14 + a + b = 0
- 17 + a + b = 0
a + b = 17

We got our first statement about the values of the variables. If we find one more we can find those 2 variables.

We have another given root: 4.

Plug it in:
2 \times {4}^{4} - 5 \times {4}^{3} - 14 \times {4}^{2} + a \times 4 + b = 0
512 - 320 - 224 + 4a + b = 0
- 32 + 4a + b = 0
4a + b = 32

Now we have our second one. We can combine them:
a + b = 17 \\ 4a + b = 32

I use elimination method which is easier here.

Multiply the top equation by -1: - a - b = - 17 \\ 4a + b = 32

Add them up:
3a = 15

Simplify:
a = 5

Now we have a, we can plug in one of those equations to find b:
5 + b = 17
b = 17 - 5
b = 12

So, the answers are a=5 and b=12 .
6 0
3 years ago
Hellohello, if you able to help me then please do. (:
madreJ [45]

Answer:

true duhh :))

Step-by-step explanation:

7 0
2 years ago
Angelo is making a rectangular floor for a clubhouse with an area of 84 square feet. The length if each side of the floor is a w
Alexxandr [17]

Answer:

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

Step-by-step explanation:

We are given that

Area of rectangular floor=84 square feet

We have to find the possible length and width of for Angelo's clubhouse.

Area of rectangle=length\times breadth

Using the formula

Area of rectangular floor for clubhouse=84 square feet

Length(L)\times breadth(B)=84

Factor of 84 are

1,2,4,6,7,12,14,21,42,84

Therefore,  possible dimension of rectangular floor

1ft\times 84ft,2ft\times 42ft,4ft\times 21ft,6ft\times 14ft,7ft\times 12ft,12ft\times 7ft,14ft\times 6ft,21ft\times 4ft,42ft\times 2ft,84ft\times 1ft

L=1 ft and B=84 ft

L=2 ft and B=42 ft

L=4ft and B=21ft

L=6ft and B=14 ft

L=7ft and B=12ft

L=12 ft and B=7ft

L=14ft and B=6 ft

L=21 ft and B=4 ft

L=42 ft and B=2 ft

L=84 ft and B=1 ft

5 0
3 years ago
Help me please! Will give 20 Brainly points!
Vitek1552 [10]
The first one would be 5 and the second is 3 thanks and mark as brainiliest
3 0
3 years ago
A grocery store buys items and then applies a markup of 70%. What is the retail price of item that originally costs $10?
True [87]

Answer:

$17

Step-by-step explanation:

since your finding retail price u need to do 10×.7 and that would be 7 then and the 7 to 10

7 0
2 years ago
Read 2 more answers
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