1) Finding the zeros of this function f(x) =x² +3x -18
f(x) = x²+3x-18 <em>Factoring this equation, and rewriting it</em>
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<em>Which two numbers whose sum is equal to 3 and their product is equal to 18?</em>
<em>6 -3 = 3 and 6 *-3 = -18</em>
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<em>So we can rewrite as (x +6) (x-3)</em>
<em> </em>
(x+6)(x-3)=0 <em>Applying the Zero product rule, to find the roots</em>
x+6=0,
x=-6
x-3=0,
x=3
S={3,-6}
2) Setting a table, plugging in the values of x into the factored form: (x-6)(x-3)
x | y |
1 | -14 (1 +6)(1-3) =-14
2 | -8 (2 +6)(2-3) =-8
3 | 0
4 | 10
-5 | -8
-6 | 0
3) Plotting the function:
Answer:
The change received by Judy is $ 2.69.
Step-by-step explanation:
Bill paid = $ 10
Cost of binder = $ 1.38
Cost of pack of pencils = $ 2.05
Cost of box of erasers = $ 3.88
Total cost of the school supplies = $ 1.38 + $ 2.05 + $ 3.88 = $ 7.31
The amount of change Judy received = $ 10 - $ 7.31 = $ 2.69
Answer:
The answer is 57.5
Step-by-step explanation:
Bruce has a rope that is 21 feet long he needs to cut the rope into 1/5 long pieces.
The length of the rope = 21 feet
the length of each strip = ![\frac{1}{5}](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B5%7D%20%20)
We need to cut the rope 21 feet into
strips
To find the number of strips we divide 21 feet by the length of the strip
=
= 105
105 strips can Bruce cut from his rope.
Step-by-step explanation:
![\sqrt{4 \times 9 \times 16} = \sqrt{4} \times \sqrt{9} \times \sqrt{16} = 2 \times 3 \times 4 = 24](https://tex.z-dn.net/?f=%20%5Csqrt%7B4%20%5Ctimes%209%20%5Ctimes%2016%7D%20%20%3D%20%20%20%5Csqrt%7B4%7D%20%20%5Ctimes%20%20%20%5Csqrt%7B9%7D%20%20%5Ctimes%20%20%5Csqrt%7B16%7D%20%20%3D%202%20%5Ctimes%203%20%5Ctimes%204%20%3D%2024)