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Irina18 [472]
2 years ago
9

The function f(x) = 6x + 5 is one-to-one. Find an equation for f '(x), the inverse function.

Mathematics
1 answer:
Hatshy [7]2 years ago
4 0
Switch the x and y values and isolate y, then simplify.
x=6y+5
6y=x-5
y=1/6x-5/6
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What is the equation of the line that is parallel to the line 5x + 2y = 12 and passes through the point (-2, 4)?
Aneli [31]

Answer: 5x + 2y = -2

Step-by-step explanation:

Change 5x+2y=12 to slope intercept: 2y = 12 - 5x, y = -5x/2 + 6

A parallel line has the same slope, so the line we try to find is y = -5x/2 + b.

Substitute (-2, 4) in and get 4=5+b, so b = -1.

Therefore the answer is y = -5x/2 - 1, or if you want it in the original form it would be 2y = -5x - 2 ---> 5x+2y = -2.

Hope that helped,

-sirswagger21

7 0
3 years ago
Rectangle Area = L x W Find the area of the rectangle if the width is 2 yards and the length is 4 yards
Firdavs [7]

Answer:

8 Yard

Step-by-step explanation:

Area Of Rectangle = L x W

=4 yards x 2 yards

=8 yards.

6 0
3 years ago
Identify the transformation that maps the figure onto itself <br><br> Please help
Lapatulllka [165]

Answer:

  B.  Rotate 180° clockwise around (8, 4) and reflect across the line x=8.

Step-by-step explanation:

The figure is symmetrical (order 2) about the point (8, 4), and about the lines x=8 and y=4.

Hence, rotation 180° about the point (8, 4) makes the figure look unchanged. Since the figure is also symmetrical about the line x=8, reflecting it across that line will also leave the figure unchanged.

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Any of the other transformations have the effect of translating the figure somewhere else.

3 0
3 years ago
Multiply............
ZanzabumX [31]
Hey there!

In order to multiply these polynomials together, you will take both terms of the first polynomial and multiply them by each term in the second polynomial. You can then combine any like terms to get your final answer. 

(2x² – 5x)(4x² – 12x + 10)

2x² × 4x² = 8x⁴
2x² × –12x = –24x³
2x² × 10 = 20x²

–5x × 4x² = –20x³
–5x × –12x = 60x²
–5x × 10 = –50x

Write all of these terms together. You can rearrange the similar ones to be next to each other. 

8x⁴ – 24x³ – 20x³ + 20x² + 60x² – 50x

Just add or subtract the terms to simplify, if they can be.

8x⁴ – 44x³ + 80x² – 50x

(8x⁴ – 44x³ + 80x² – 50x) will be your final answer. 

Hope this helped you out! :-)
8 0
3 years ago
Read 2 more answers
How do you simplify this math problem 5(1 + 3x) ?
lubasha [3.4K]

you need to distribute the 5. multiply each term in the parentheses by 5:

5(1) + 5(3x)

5 + 15x

5 0
3 years ago
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