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3 years ago

15

105n^3 + 175n^2 + 75n - 125

1 answer:

mylen [45]3 years ago

4 0

5(21n^3+35n^2+15n-245)

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Please help due today

aleksklad [387]

Turn the triangle around, because you have to reflect it, if you need extra help lmk

6 0

3 years ago

Subtract x^2-6x+4 from 2x^2+4x-8

Rasek [7]

2X^2+4X-8-X^2+6X-4
X^2+4X-8+6X-4
X^2+10X-12

3 0

2 years ago

What is the area of the figure down below

kogti [31]

68

Explanation:

So to get this answer you need to split it into smaller shapes. We already have the squares so we know that 3*3 is 9 and then we double that because there are two of them.

So, so far we have 18+x

We need to take the middle shape and split it into two trapezoids.

The area for trapezoids is T=(a+b/2)h

So T= (3+7/2)5
T= 5*5=25
And then we would double that because there are two of them so 50 and then fill it in for x
18+50= 68 is the area of the figure.

3 0

3 years ago

What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.

elena-s [515]

Given:

The height of a golf ball is represented by the equation:

$y=x-0.04x^2$

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

$y=x-0.04x^2$

Differentiate with respect to x.

$y'=1-0.04(2x)$

$y'=1-0.08x$

For critical values, $y'=0$ .

$1-0.08x=0$

$-0.08x=-1$

$x=\dfrac{-1}{-0.08}$

$x=12.5$

Differentiate y' with respect to x.

$y''=(0)-0.08(1)$

$y''=-0.08$

Since double derivative is negative, the function is maximum at $x=12.5$ .

Substitute $x=12.5$ in the given equation to get the maximum height.

$y=(12.5)-0.04(12.5)^2$

$y=12.5-0.04(156.25)$

$y=12.5-6.25$

$y=6.25$

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

7 0

3 years ago

Find the compound interest on 800 at 5% per annum for 2 years.

Ludmilka [50]

Answer:

$C = 82$

Step-by-step explanation:

Given

$R = 5\%$ -- Rate

$P = 800$ -- Principal

$N = 2$ -- Time

Required

Determine the compound interest

First, we calculate the Amount (A)

$A = P(1 + R)^N$

$A = 800*(1 + 5\%)^2$

Express % as decimal

$A = 800*(1 + 0.05)^2$

$A = 800*(1.05)^2$

$A = 882$

The compound interest (C) is then calculated as:

$C = A -P$ i.e. Amount - Principal

$C = 882 - 800$

$C = 82$

7 0

3 years ago