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kotegsom [21]
2 years ago
15

14x to the power of -2 , for x=7

Mathematics
2 answers:
Mariulka [41]2 years ago
7 0

Answer:

0.00010412328

OverLord2011 [107]2 years ago
6 0

Answer:

:5:5&&'4&4&4&:&;4"33*2**223$&4&4&55&

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Find the slope between the two points given. Then, use the slope and one of the points to write the equation of the line in Slop
Anika [276]

Answer:

Equation: y=2x-1

Slope: 2

y-intercept: -1

Step-by-step explanation:

Hi there!

We are given the points (-1, -3) and (-2, -5). We need to find the slope, equation of the line, and the y intercept of the line

First, let's find the slope

The formula for the slope (m) calculated from two points is \frac{y_2-y_1}{x_2-x_1} where (x_1,y_1) and (x_2,y_2) are points

We have everything we need for the formula, but let's label the values of the points to avoid any confusion

x1=-1

y1=-3

x2=-2

y2=-5

Now substitute into the formula (remember: the formula has SUBTRACTION):

m=\frac{-5--3}{-2--1}

simplify

m=\frac{-5+3}{-2+1}

add

m=\frac{-2}{-1}

divide

m=2

So the slope is <u>2</u>

Now let's find the equation of the line

The question asks for it to be in slope-intercept form, which is y=mx+b, where m is the slope and b is the y intercept

We calculated the slope from earlier, so let's substitute that into the equation

y=2x+b

Now we need to find b

The equation will pass through both (-1, -3) and (-2, -5) so we can use either one of them to solve for b (doesn't matter which one)

Let's take (-1, -3) as an example

substitute -1 as x and -3 as y into the equation

-3=2(-1)+b

multiply

-3=-2+b

Add 2 to both sides

<u>-1=b (the value of the y intercept!) </u>

Substitute -1 as b into the equation

<u>y=2x-1</u>

We found everything needed for this problem

Hope this helps!

8 0
3 years ago
600 or 600 decreased by 20% and then increased by 20% of the result? Which amount is larger and by how much
ohaa [14]

Answer:

The initial value of 600 is larger and larger by 24.

Step-by-step explanation:

First of all a 20% decreased of 600.

So, the new value will be 600(1 - \frac{20}{100}) = 600 \times 0.8 = 480.

Now, then it is increased by 20% i.e. 480 will be increased by 20%.

So, the new value will be 480(1 + \frac{20}{100}) = 480 \times 1.2 = 576.

Therefore, the initial value of 600 is larger and larger by (600 - 576) = 24. (Answer)

3 0
3 years ago
Hey guys im going to quit on thursday, giving tons of points there
Angelina_Jolie [31]

Answer:

Oh im sorry!!!! but free points are free points

Step-by-step explanation:

6 0
3 years ago
Jill is playing cards with her friend when she draws a card from a
AVprozaik [17]
3 of 20
1 2 3 <u>4</u> 5 6 7 8 <u>9</u> 10 11 12 13 14 15 <u>16</u> 17 18 19 20
8 0
3 years ago
an airplane travels 4688 kilometers against the wind in 8 hours and 5808 kilometers with the wind in the same amount of time. wh
Vladimir [108]

The speed of wind is 656 kmph and speed of plane is 70 kmph.

<u>SOLUTION: </u>

Given that, an air-plane travels 4688 kilometers against the wind in 8 hours

And 5808 kilometers with the wind in the same amount of time.  

We have to find the rate of the plane in still air and the rate of wind

Now, let the speed of wind be a kmph and speed of plane be b kmph.

And we know that, \text { distance }=\text { speed } \times \text { time }

\begin{array}{l}{\text { Then, while travelling with wind } \rightarrow 5808=(a+b) \times 8 \rightarrow a+b=726 \rightarrow a=726-b \rightarrow(1)} \\\\ {\text { While travelling against wind } \rightarrow 4688=(a-b) \times 8 \rightarrow a-b=586 \rightarrow(2)}\end{array}

Substituting (1) in (2) we get,

\Rightarrow 726-b-b = 586\Rightarrow -2b=586-726 \Rightarrow -2b=-140

\Rightarrow b=\frac{140}{2} \Rightarrowb=70\Rightarrow (3)

On substituting (3) in (1) we get,

a=726-70=656\Rightarrow a=656

Hence, the speed of wind is 656 kmph and speed of plane is 70 kmph.

4 0
3 years ago
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