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3 years ago

Find the inverse of the function y=2^3-5x

Mathematics

1 answer:

Korvikt [17]3 years ago

6 0

Answer:

Step-by-step explanation:

To find the inverse, switch x and y, then solve for y

y=2^3-5x

x=2^3-5y

x-2^3=-5y

-(x/5)+((2/3)/5)=y

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PLEASE HELP ASAP.

alexandr1967 [171]

Answer:

$Y' = (-2, 4\frac{2}{3})$

Step-by-step explanation:

Given

$Y = (-3,7)$

$Scale\ Factor = (\frac{2}{3}x,\frac{2}{3}y)$

Required

Determine Y'

Y' can be solved by multiplying the scale factor by Y

i.e.

$Y' = Scale\ Factor * Y$

For, the x coordinates.

$Y' = \frac{2}{3}x$

Where

$x = -3$

$Y' = \frac{2}{3} * -3$

$Y' = \frac{-6}{3}$

$Y = -2$

For the y coordinates:

$Y' = \frac{2}{3}y$

Where

$y = 7$

$Y' = \frac{2}{3} * 7$

$Y' = \frac{14}{3}$

$Y' = 4\frac{2}{3}$

Hence:

$Y' = (-2, 4\frac{2}{3})$

3 0

3 years ago

1a. Tell whether the angles are adjacent or vertical. *

Anton [14]

Answer:

it is adjacent and the answer to 1b is 146

3 0

2 years ago

Find the indicated root

Sever21 [200]

So you have to put 25 inside the blank box.

look at the attached picture

Hope it will help you

Good luck on your assignment

6 0

3 years ago

Read 2 more answers

Please help me i don't know what to do please show your work

Diano4ka-milaya [45]

<h3>Distributive Property</h3>

The distributive property lets you group or ungroup terms using parentheses. It lets you multiply an external factor by every term in parentheses, expressing the result as a sum:

... a(b + c) = ab + ac . . . . . . factor a multiplies the terms b and c

and it lets you remove a common factor from different terms, putting that factor outside parentheses:

... ab + ac = a(b + c)

The letters a, b, c here can stand for any number or expression.

<h3>Homework</h3>

20. To do this problem, you need to eliminate the parentheses using the distributive property. Then, "collect terms," which is another application of the distributive property. The external factor outside the parentheses is (-2/3). Multiply that by each term in parentheses, and add the results.

After that, recognize that c is a factor of two of the terms. Add their coefficients to simplify that sum to one term.

$-\dfrac{2}{3}(12c-9)+14c=\left(-\dfrac{2}{3}\right)(12c)+\left(-\dfrac{2}{3}\right)(-9)+14c=-8c+6+14c\\\\=c(-8+14)+6\\\\=6c+6$

22. You are to evaluate the expression with x=2 two ways: as is, and after you simplify it by combining like terms.

As is:

$-8x+5-2x-4+5x\\=-8(2)+5-2(2)-4+5(2)\\=-16+5-4-4+10\\=-9$

Simplified:

$-8x+5-2x-4+5x\\=x(-8-2+5)+(5-4)=-5x+1\\=-5(2)+1=-10+1\\=-9$

I prefer simplifying the expression first. The number of calculations and chances for error are reduced.

23. It is convenient to check for equivalence after simplifying both expressions.

First Expression:

$8x^2+3\left(x^2+y\right)=8x^2+3x^2+3y=11x^2+3y$

Second Expression:

$7x^2+7y +4x^2-4y=(7+4)x^2+(7-4)y=11x^2+3y$

The simplified forms of the expressions are identical, so we conclude the expressions are equivalent.

25. The area of a rectangle is the product of its length and width. Here, you are asked to simplify the product of (3+x) ft and 3 ft.

$((3+x)\,\text{ft})(3\,\text{ft})=(3\,\text{ft})\cdot (3\,\text{ft})+(x\,\text{ft})\cdot (3\,\text{ft})=9\,\text{ft}^2+3x\,\text{ft}^2\\\\=(3x+9)\,\text{ft}^2$

In the last form of this expression, we have used "standard form" which has the degree of the variable decreasing in terms left to right. The units are factored out to make the expression a bit less cumbersome.

3 0

3 years ago

Read 2 more answers

Sarah has a bag of 50 skittles, some are red and some are yellow. Sarah randomly pulls a skittle out of the bag and records it,

Leno4ka [110]

Answer:

Step-by-step explanation:

Assume n is the number of times she pick a skittle out of the bag

The probability she pick out red : 8/n

The probability she pick out yellow : 12/n

=> The ratio of red and yellow skittle : 8/n : 12/n = 8/12 = 2/3, means every 2 red skittles we have 3 yellow ones.

But we have 50 skittles, so the likely numbers of reds in the bag is = 2* $\frac{50}{5}$ = 20