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3 years ago

11

Lisa is making activity baskets to donate to charity. She has 12 coloring books, 28

1 answer:

Kaylis [27]3 years ago

7 0

Answer:

12 and 12

Step-by-step explanation:

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Graph the line that passes through the points (6,-4) and (3,-6) and determine

antoniya [11.8K]

Answer:

$y = \frac23x - 8$

Step-by-step explanation:

Hello!

First, let's plot the points and draw a straight line through them (image).

Remember that a coordinate is given in the format of (x,y).

<h3 /><h3>Parts of a Line</h3>

Equation format: $y = mx + b$

m = slope
b = y-intercept

The slope is how the graph changes in y as it does in x. Given our two points, the graph rises 2 units and runs 3. That means that the slope is $\frac23$ .

$y = \frac23x + b$

The y-intercept is the intersection of the graph and the y-axis. The intersection takes place at y = -8, so the y-intercept is -8.

$y = \frac23x - 8$

The equation is $y = \frac23x - 8$ .

5 0

1 year ago

Viola makes gift baskets for Valentine's day. She has 13 baskets left over from last year, and she plans to make 12 more each da

barxatty [35]

Viola has 13 already.

She is going to work 15 days and make 12 each day. 15 x 12 = 180 new baskets.

Add the old and the new - 13 + 180 = 193 baskets total.

4 0

4 years ago

Factor x3y6 + 27z42. (xy3 + 3z39)(x2y9 – 3xy3z39 + 9z1,521) (xy3 + 3z39)(x2y6 – 3xy3z39 + 9z78) (x3y6 + 27z42)(x6y12 – 27x3y6z42

Licemer1 [7]

Answer:

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})$

Step-by-step explanation:

Given

$x^3y^6 + 27z^{42$

Required

Factor

Express both terms as a cube

$x^3y^6 + 27z^{42} = (xy^2)^3 + (3z^{14})^3$

Let

$a =(xy^2)$

$b = (3z^{14})$

So:

$x^3y^6 + 27z^{42} = a^3 + b^3$

Using sum of cubes:

$a^3 + b^3 = (a + b)(a^2 - ab + b^2)$

So:

$x^3y^6 + 27z^{42} = (a + b)(a^2 - ab + b^2)$

Substitute in, values of a and b

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})((xy^2)^2 - (xy^2)*(3z^{14}) + (3z^{14})^2)$

$x^3y^6 + 27z^{42} = (xy^2 + 3z^{14})(x^2y^4 - 3xy^2z^{14} + 9z^{28})$

5 0

3 years ago

Read 2 more answers

Name five fractions that are near but are not equivalent to 4/12

melisa1 [442]

3/12
5/12
9/24 or aka 3/8
7/24
13/36
11/36

7 0

4 years ago

Read 2 more answers

10) Jane has 68 stickers. She sticks 3 stickers on each page of her

Dima020 [189]

Answer:

Step-by-step explanation:

a) She uses 23 pages (but the last page has 2)

b) 2

c)Jane needs 82 more stickers because

50pages-23=27

27x3(stickers, befcuaase 3 stickers per page)=81

81+1=82 because on 23 page theres only 2 sticker

Hope this helps

4 0

3 years ago