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3 years ago

I will give brainliest!!!!!!!!!

Mathematics

2 answers:

sergiy2304 [10]3 years ago

3 0

15
If it’s not message me I’ll give u the answer

belka [17]3 years ago

3 0

Answer:

rate of change = 3/2 or 1.5

Step-by-step explanation:

Rate of change = y2/x2 - y1/x1

=> Rate of change = 6/4 - 3/2

=> Rate of change = 6-3 / 4-2

=> Rate of change = 3/2

=> 3/2 = 1.5

So, the rate of change = 3/2 or 1.5

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Does 8(3x + 4) = 24x + 4?

Andrei [34K]

no the answer is = 24 + 32

3 0

3 years ago

What is the solution of the inequality 7(x + 4) < 2(x–5) + 3(x + 9)?

emmasim [6.3K]

Answer:

x< -8.125

Step-by-step explanation:

7(x+4) < 2(x-5) -3(x+9)

distribute 7, 2, -3 to the parentheses to the right

7x+28<2x-10-3x-27

add like terms

7x+28<x-37

add x to 7x and subtract -28 to -37

8x<-65

divide both sides by 8

x<-8.125 or (-65/8)

5 0

4 years ago

Divide. (4x² + 25x +29) / (x+5) I need help!!! ASAP PLEASE!!!

-Dominant- [34]

Answer:

Try this

Step-by-step explanation:

Quotient : 4x+5

Remainder : 4 v

7 0

3 years ago

Find the next two terms. 162, 54, 18, ?, ?

morpeh [17]

Answer:

6 and 2

Step-by-step explanation:

this is a geometric sequence.

You will notice that the common ratio of this sequence is 1/3.

This means each term is 1/3 of the previous term, except for the first term.

18/3 = 6

6/3 =2

4 0

3 years ago

The base and sides of a container is made of wood panels. The container does not have a lid. The base and sides are rectangular.

vfiekz [6]

Answer:

Minimum surface area = $70.77 cm^2$

Step-by-step explanation:

We are given that

Width of container=x cm

Length of container=2x cm

Volume of container= $54 cm^3$

We have to find the minimum surface areas that this container will have.

Volume of container= $l\times b\times h$

$x\times 2x\times h=54$

$2x^2h=54$

$h=\frac{54}{2x^2}=\frac{27}{x^2}$

Surface area of container= $2(b+l)h+lb$

Because the container does not have lid

Surface area of container= $S=2(2x+x)\times \frac{27}{x^2}+2x\times x$

$S=\frac{162}{x}+2x^2$

Differentiate w.r.t x

$\frac{dS}{dx}=-\frac{162}{x^2}+4x$

$\frac{dx^n}{dx}=nx^{n-1}$

Substitute $\frac{dS}{dx}=0$

$-\frac{162}{x^2}+4x=0$

$4x=\frac{162}{x^2}$

$x^3=\frac{162}{4}=40.5$

$x^3=40.5$

$x=(40.5)^{\frac{1}{3}}$

$x=3.4$

Again differentiate w.r.t x

$\frac{d^2S}{dx^2}=\frac{324}{x^3}+4$

Substitute x=3.4

$\frac{d^2S}{dx^2}=\frac{324}{(3.4)^3}+4=12.24>0$

Hence, function is minimum at x=3.4

Substitute x=3.4

Then, we get

Minimum surface area = $\frac{162}{(3.4)}+2(3.4)^2=70.77 cm^2$

8 0

3 years ago