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3 years ago

Round your answer to the nearest hundredth. PLEASE HELP ME

Mathematics

1 answer:

g100num [7]3 years ago

6 0

I think you have to multiply

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Given that f(x)= x^3/4 +6 a) Find f(4) b) Find f^-1(x) c) Find f^-1(8)

Anna35 [415]

$f(4)=\dfrac{4^3}{4}+6=4^2+6=16+6=22$

$\begin{aligned}\\&y=\dfrac{x^3}{4}+6\\&4y=x^3+24\\&x^3=4y-24\\&x=\sqrt[3]{4y-24}\\&f^{-1}(x)=\sqrt[3]{4x-24}\end$

$f^{-1}(8)=\sqrt[3]{4\cdot8-24}=\sqrt[3]{8}=2$

7 0

2 years ago

Read 2 more answers

Can someone please help me with this

natta225 [31]

Answer:

$(a)\ (1,5)$

Step-by-step explanation:

Given

$(x + 9)^2 + (y - 4)^2 = 101$

Required

Which of the points does it pass through

To do this, we simply substitute the values of x and y in the above equation.

So, we have:

$(a)\ (1,5)$

$(x + 9)^2 + (y - 4)^2 = 101$

$(1 + 9)^2 + (5 - 4)^2 = 101$

Solve each bracket

$10^2 + 1^2 = 101$

$100 + 1 = 101$

$101 = 101$

The above equation is true,

Hence, it passed through $(1,5$ )

We do not need to check for others

6 0

3 years ago

If r = 9,6 = 5, and g = -6, what does (r+b-9) (b+g) equal?

devlian [24]

Answer:

-5

Explanation:

First, expand.

r + b - 9 × b + g.

If r = 9, b = 5, and g = -6, this would be the answer:

9(r) + 5(b) - 9 = 5

5(b) + -6(g) = -1

5 × -1 = -5

6 0

3 years ago

A triangle has an area of 10 square meters. The height of the triangle is 5 meters.

bezimeni [28]

Answer:

Base = 4 Meters

Step-by-step explanation:

The area of a triangle is: A = (b*h)/2

A = 10 meters squared

h = 5 meters

b = ?

10 meters squared = (b * 5 meters) / 2

20 meters squared = b * 5 meters

4 meters = b

6 0

4 years ago

In his suitcase, Jack has 3 shirts, 4 pants, 2 socks (pairs of socks), and 2 shoes (pairs of shoes). How many unique ways can Ja

kipiarov [429]

Answer:

Step-by-step explanation:

the number of shirts are 3, number of pants 4, number of socks pairs 2 and 2 pairs of shoes.

first lets start with shirts and pants, number of unique combinations are,

(for each shirt there are 4 different pant combinations) = $(3)(4)$

=12

similiarly for each shirt pant pair there are 2 shoes and 2 socks pairs.

thus, total number of combinations are=

$(12)(2)(2)$

= 48

8 0

4 years ago