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3 years ago

Simplify the following expression.

Mathematics

1 answer:

mr Goodwill [35]3 years ago

7 0

Step-by-step explanation:

8x² -5x + 8 +(-2x² -8x + 3)

8x² -5x +8 -2x² - 8x +3

8x² -2x² -5x -8x +8 +3

6x² -13x +11

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April shoots an arrow upward at a speed of 80 feet per second from a platform 25 feet high. The pathway of the

zaharov [31]

Answer:

The maximum height of the arrow is 125 feet.

Step-by-step explanation:

The pathway of the arrow can be represented by the equation,

$h = -16t^2 +80t + 25$ .....(1)

Where h is height in in feet and t is time in seconds.

It is required to find the maximum height of the arrow. For maximum height, $\dfrac{dh}{dt}=0$ .

So,

$\dfrac{d(-16t^2 +80t + 25)}{dt}=0\\\\-32t+80=0\\\\t=\dfrac{80}{32}\\\\t=2.5\ s$

Put t = 2.5 s in equation (1). So,

$h = -16(2.5)^2 +80(2.5) + 25\\\\h=125\ \text{feet}$

So, the maximum height of the arrow is 125 feet.

6 0

3 years ago

Please Help ASAP with Math

vampirchik [111]

Answer:

5.33

Step-by-step explanation:

move the 4 out of the summation because just a constant multiplier

4 *sum from 1 to 10 for (1/4)^(n-1) [sorry i don't know how to write sums using latex)

The formula for the geometric sum is :

First term*(1-multiplier^n)/(1-multiplier), formally $\frac{a_1(1-r^n)}{1-r}$

Here multiplier is 1/4

First term is (1/4)^(1-1) = 1

Thus the value of sum is $1*(1-(1/4)^1^0)/(1-1/4)$ which equals $(1- (1/4)^1^0)*4/3$

We factored out 4 so its $4*(1-(1/4)^1^0)*4/3$ which is $16/3 * (1- (1/4)^1^0)$

This equals 5.333328247 which is 5.33 to the nearest hundredth

5 0

2 years ago

I NEED HELP PLEASE!!

ziro4ka [17]

Square root of 12 ( $\sqrt{12}$ )
Square root of 18 ( $\sqrt{18}$ )

You can multiply these two together to get:

$\sqrt{12 * 18} = \sqrt{216} = 6 \sqrt{6}$

Therefore your answer is 6 square root of 6.

7 0

3 years ago

Which statement describes the behavior of the function f(x)=3x/4-x?

Oksana_A [137]

Answer:

The graph approaches –3 as x approaches infinity. Option a is correct.

Step-by-step explanation:

The given function is

$f(x)=\frac{3x}{4-x}$

We have to find value of function as x approaches infinity. Take limit both sides as x approaches to infinity.

$\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{4-x}$

Taking x common from the denominator.

$\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3x}{x(\frac{4}{x}-1)}$

Cancel out common factor x.

$\lim_{x\rightarrow \infty}f(x)=\lim_{x\rightarrow \infty}\frac{3}{\frac{4}{x}-1}$

Apply limits.

$\lim_{x\rightarrow \infty}f(x)=\frac{3}{\frac{4}{\infty}-1}$

$\lim_{x\rightarrow \infty}f(x)=\frac{3}{0-1}$

$\lim_{x\rightarrow \infty}f(x)=-3$

Therefore the graph approaches –3 as x approaches infinity.

7 0

3 years ago

Read 2 more answers

Please help !! Picture provided !!!

adelina 88 [10]

Method One
Your calculator might be able to do this. Mine does it like this.
6
nCr
2
=
15

Method 2
You could simply set up 6C2

This gives you
$\frac{n!}{(n- r)! r!} = \frac{6!}{(6 - 2)!2!} = \frac{6!}{4! 2!} = \frac{6*5}{2*1} = 15$

Method Three
You only have to do this a couple of times to see how the cancellation works.

$\frac{6!}{4!2!} = \frac{6*5*\st{4*3*2*1}}{4*3*2*1 * 2*1}$
After all the cancellation takes place you have
6*5/2 = 15

7 0

3 years ago