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2 years ago

which statement couls be used to explain why the function h(x)=x³ has an inverse relation that is also a function

Mathematics

1 answer:

Gnom [1K]2 years ago

7 0

Answer: Option 4

Step-by-step explanation:

The way to tell if a function has an inverse is to see if it passes the horizontal line test (if a horizontal line crosses the graph more than once).

P.S. I hope this helped! Feel free to tell me if I got it wrong, I'll try my best to fix it.

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Simplify by using the law of indices: y^a(b+c)×y^b(c-a)×y^c(a-b)

tia_tia [17]

Answer:

$y^{2ac}$

Step-by-step explanation:

Using the law if indices

$a^{m}$ × $a^{n}$ = $a^{(m+n)}$

Thus to simplify the expression add the 3 exponents

a(b + c) + b(c - a) + c(a - b) ← distribute parenthesis

= ab + ac + bc - ab + ac - bc ← collect like terms

= 2ac

Then the expression simplifies to

$y^{2ac}$

4 0

3 years ago

An urn contains three red balls and four blue balls. Draw two balls at random from the urn, without replacement. Compute the exp

mezya [45]

Step-by-step explanation:

in total we have 3+4 = 7 balls.

when we draw the first ball, the probability to draw a red ball is 3/7, and a blue ball 4/7.

when we draw the second ball, we have now only 6 balls in total.

the probabilty to draw a red back now depends also on the result of the first draw.

if the first ball was already red, then we have only a chance now of 2 out of 6.

if the first ball was blue, then we have now a chance of 3 out of 6.

so, the probably to draw at least 1 red ball in 2 draws is the probability of drawing one on the first draw plus the probability of drawing one on the second :

1 - probability to see 2 blue balls

1 - 4/7 × 3/6 = 1 - 12/42 = 30/42 = 0.714285714...

the expected number of red balls in 2 draws is

1 red in first red in first red in second

but not second and second but not first

1×(3/7 × 4/6) + 2×(3/7 × 2/6) + 1×(4/7 × 3/6) = 12/42 + 12/42 + 12/42 = 36/42 = 6/7 = 0.857142857 ≈ 0.8571

7 0

3 years ago

Jose stores his baseball cards in a box like the one shown

TEA [102]

The formula for volume (V) is l * w * h, where l is length, w is width, and h is height. So in a sense, we have already solved the first part of this problem!

V = 10 * 8 * 3

Now, all we have to do is complete this equation to find the volume.

10 * 8 = 80

80 * 3 = 240

The volume of Jose's box for baseball cards is 240 cubic inches.
Hope that helped! =)

7 0

4 years ago

Read 2 more answers

HELP HELP I don’t know how to do thissssss

Sophie [7]

Answer:

see below

Step-by-step explanation:

$p(x)=x^3-3x-1$ and $q(x)=x-1$

$p(x)+q(x)=(x^3-3x-1)+(x-1)=x^3 -2x-2$

$p(x)-q(x)=(x^3-3x-1)-(x-1)=x^3 -3x-1-x+1=x^3-4x$

$p(x) \times q(x)=(x^3-3x-1)(x-1)=x^4-x^3-3x^2+2x+1$

$\frac{p(x)}{q(x)} =\frac{x^2-3x-1}{x-1} =x^2+x-2-\frac{3}{x-1}$

8 0

2 years ago

Read 2 more answers

Can someone plz help me on this I really need help

Usimov [2.4K]

When dividing fractions these are the steps you will take:

1. The first number in the expression stays the same. If it is a whole number then you may just place a one in the denominator and keep the numerator as the whole number like so:

$\frac{3}{1}$ ÷ $\frac{3}{4}$