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To multiply numbers with the same base, add the exponents:

5³ x 5⁴  =  5^{3 + 4}  =  5⁷

3/4

Slope-intercept form is the equation solved for y:

     5x + 10y  =  60

Subtracting 5x from both sides:

            10y  =  -5x + 60

Dividing by 10:

                y  =  (-1/2)x + 6

The slope is the coefficient of x:  slope = -1/2.

The y-intercept is the number added to the x-term:  y-intercept = 6

8n-(5n+7)=5

8n - 5n - 7  = 5  

3n - 7 = 5    add 7 to both sides

3n  = 12    divide both  sides by 3

n = 4

I'm assuming that you want to factor this:

x³ + 5x² - 4x - 20  =  x²(x + 5) - 4(x + 5)  =  (x + 5)(x² - 4)  =  (x + 5)(x + 2)(x - 2)

Marti's statement won't be correct if the fractions don't add up to 1.000  (100%).

Using the common denominator of 60:

           2/5  +  1/6  +  1/3  +  1/4  =  24/60  +  10/60  +  20/60  +  15/60  =  69/60  

For the statement to be correct, the sum must be 60/60; so the statement isn't correct.

9|9-8x|=2x+3    divide both sides by 9

l 9 - 8x l  =  [2x + 3] / 9        we have two equations

9 - 8x  = [2x + 3] / 9          and      9 - 8x =  - [2x + 3] / 9 

multiply both sides by 9

81 - 72x  = 2x + 3                         81 - 72x  = -2x - 3

get the x's on one side and constants on the other

78  = 74x                                    84  = 70x

divide by 74                            divide by 70

78/74 = x =  39/37                      84/70  = x = 6/5

|-4b-8|+|-1-b²|+2b(3 squared);b= -2

l -4(-2) - 8 l +  l -1 - (-2)^2 l + 2(-2)(3^2)  =

l - 8 - 8 l + l -1 - 4 l + (-4) *9  =

l-16 l + l -5 l - 36 =

16 + 5 - 36  =

21  - 36  =

-15

[15 +  22 + 53] / [12 + 18] =  [90] / [30] =  3 ribbons each

By air, the distance from city A to city B is 3005 miles less than the distance from city C to city D. If the total of these two distances is 7845 miles, find the distance from city C to city D.

Call the distance between C and D  = x....so we have

x - 3005  + x   = 7845        add 3005 to both sides

2x = 10850      divide both sides by 2

x = 5425 miles

9 * 24 + 6  = 222 chairs

Write it down!!!!!!, and go over it many times to remember it. Also, practice by making up examples of your own.

S=lw+wh+hl

We nave two equations here

S = w + wh + h                    and          -S  =  w + wh + h

simplify

S - w  = wh + h                                    -S - w  =  wh + h

                                     factor out h on the right

S - w  = h(w + 1)                                 -(S + w)  = h(w + 1)

divide both sides by  (w + 1)

[ S - w ] / [ w + 1]  = h            and       -[S + w]/ [w + 1]  = h

You may settle your argument using this famous formula: D=1/2.g.t^2, where D=distance the object has fallen. g=32 ft/sec^2-being the pull of gravity. t=time in seconds.

Have fun!!.

Yep,.....a function...it passes the "vertical line test"......no two  y values are associated with the same x value.....

Here's the graph......https://www.desmos.com/calculator/mh2qyk4rup

its 21

yes

divide by 4 then multiply by 3... or do it the way your teacher told you, but this is a way to do it.

you did