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agasfer [191]
3 years ago
14

Kimberly wants to buy a chandelier. The original price is $80. How much will Kimberly pay if she buys it during the sale?

Mathematics
1 answer:
dsp733 years ago
8 0
How much is the sale?
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Find the equation of this line. y= [?]x+[?]
DochEvi [55]

Answer:

y=3x-4

Step-by-step explanation:

Hi there!

Slope-intercept form: y=mx+b where <em>m</em> is the slope and <em>b</em> is the y-intercept (the value of y when x=0)

<u>1) Determine the slope (</u><u><em>m</em></u><u>)</u>

m=\displaystyle\frac{y_2-y_1}{x_2-x_1} where two points that fall on the line are (x_1,y_1) and (x_2,y_2)

On the graph, two points are highlighted for us: (0,-4) and (2,2). Plug these into the formula:

m=\displaystyle\frac{2-(-4)}{2-0}\\\\m=\displaystyle\frac{2+4}{2}\\\\m=\displaystyle\frac{6}{2}\\\\m=3

Therefore, the slope of the line is 3. Plug this into y=mx+b:

y=3x+b

<u>2) Determine the y-intercept (</u><u><em>b</em></u><u>)</u>

y=3x+b

Recall that the y-intercept occurs when x=0. Given the point (0,-4), the y-intercept is therefore -4. Plug this into y=3x+b:

y=3x+(-4)\\y=3x-4

I hope this helps!

5 0
2 years ago
LCM of x&lt;sup&gt;2&lt;/sup&gt;+5x+6 and x&lt;sup&gt;2&lt;/sup&gt;-x-6 is ………………………
sergejj [24]

Answer:

(x^2 - 9)(x + 2)

Step-by-step explanation:

Given:

x^2 + 5x + 6

x^2 - x - 6

Required:

LCM of the polynomials

SOLUTION:

Step 1: Factorise each polynomial

x^2 + 5x + 6

x^2 + 3x + 2x + 6

(x^2 + 3x) + (2x + 6)

x(x + 3) + 2(x + 3)

(x + 2)(x + 3)

x^2 - x - 6

x^2 - 3x +2x - 6

x(x - 3) + 2(x - 3)

(x + 2)(x - 3)

Step 2: find the product of each factor that is common in both polynomials.

We have the following,

x^2 + 5x + 6 = (x + 2)(x + 3)

x^2 - x - 6 = (x + 2)(x - 3)

The common factors would be: =>

(x + 2) (this is common in both polynomials, so we would take just one of them as a factor.

(x + 3) and,

(x - 3)

Their product = (x - 3)(x + 3)(x +2) = (x^2 - 9)(x + 2)

4 0
3 years ago
Identify the domain and range:
Y_Kistochka [10]

Answer:

Domain: [3, ∞)

Range: [-1, ∞)

Step-by-step explanation:

lmk if you want an explanation

6 0
2 years ago
One pipe can fill a tank in 20 minutes. A second pipe can fill the tank in 30 minutes. If the tank is empty, how long would be r
ioda
(It might also have helped immensely if you had been listening
when this was being explained in class.)

The first pipe fills 1/20 of the tank each minute.
The second pipe fills 1/30 of the tank each minute.

Operating together, the two pipes fill ( 1/20 + 1/30 ) of the tank each minute.

In order to add these fractions (or any fractions), you need a common denominator.
For these particular ones, ' 60 ' is a good choice.

( 1/20 + 1/30 ) = ( 3/60 + 2/60) = 5/60 = 1/12

The rate of work is 1/12 tankful per minute .

The most sensible choice for the time is 12 minutes.

R x T = W

( 1/12 tankful per minute ) x ( 12 minutes ) = 1 full tank  


8 0
3 years ago
Large balloons are sold in packages of 12. Select the expressions that can represent the total number of balloons in p packages
hammer [34]

Answer: For C and D you put the same answer but its D. P/ 12 which stands for p divided by 12.

Step-by-step explanation:

5 0
2 years ago
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