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Goryan [66]
3 years ago
12

Pls help due soon!! (no scam answers or links) :)

Mathematics
1 answer:
DanielleElmas [232]3 years ago
6 0

Answer:

im so sorry if im late but here is what i got

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Identify the vertex and the y-intercept of the graph of each function. Show your work
olga2289 [7]
<u>vertex</u>
y = 3(x - 2)² - 4
y = 3((x - 2)(x - 2)) - 4
y = 3(x² - 2x - 2x + 4) - 4
y = 3(x² - 4x + 4) - 4
y = 3(x²) - 3(4x) + 3(4) - 4
y = 3x² - 12x + 12 - 4
y = 3x² - 12x + 8
3x² - 12x + 8 = 0
x = <u>-(-12) +/- √((-12)² - 4(3)(8))</u>
                       2(3)
x = <u>12 +/- √(144 - 96)</u>
                   6
x = <u>12 +/- √(48)
</u>              <u> </u> 6<u>
</u>x =<u> 12 +/- 6.93</u>
 <u />             6
x = 2 +/- 1.155
x = 2 + 1.155      x = 2 - 1.155
x = 3.155            x = 0.845
y = 3x² - 12x + 8
y = 3(3.155)² - 12(3.155) + 8
y = 3(1.334025) - 3.786 + 8
y = 4.002075 - 3.786 + 8
y = 0.216075 + 8
y = 8.216075
(x, y) = (3.155, 8.216075)
or
y = 3x² - 12x + 8
y = 3(0.845)² - 12(0.845) + 8
y = 3(0.714025) - 10.14 + 8
y = 2.142075 - 10.14 + 8
y = -7.857925 + 8
y = 0.142675
(x, y) = (0.845, 0.142675)
<u>y-intercept</u>
y = 3x² - 12x + 8
y = 3(0)² - 12(0) + 8
y = 3(0) - 0 + 8
y = 0 - 0 + 8
y = 0 + 8
0 = -y + 8
y = 8
(x, y) = (0, 8)
-------------------------------------------------------------------------------------------
<u>vertex</u>
y = 4(x - 5)² = 1
y = 4(x - 5)² - 1
y = 4((x - 5)(x - 5)) - 1
y = 4(x² - 5x - 5x + 25) - 1
y = 4(x² - 10x + 25) - 1
y = 4(x²) - 4(10x) + 4(25) - 1
y = 4x² - 40x + 100 - 1
y = 4x² - 40x + 99
4x² - 40x + 99 = 0
x = <u>-(-40) +/- √((-40)² - 4(4)(99))</u>
                         2(4)
x = <u>40 +/- √(1600 - 1584)</u>
                     8
x = <u>40 +/- √(16)</u>
              8
x = <u>40 +/- 4</u>
            8
x = 5 +/- 1/2
x = 5 + 1/2      x = 5 - 1/2
x = 5 1/2         x = 4 1/2
y = 4x² - 40x + 99
y = 4(5 1/2)² - 40(5 1/2) + 99
y = 4(30 1/4) - 220 + 99
y = 121 - 220 + 99
y = -99 + 99
y = 0
(x, y) = (5 1/2, 0)
or
y = 4x² - 40x + 99
y = 4(4 1/2)² - 40(4 1/2) + 99
y = 4(20 1/4) - 180 + 99
y = 81 - 180 + 99
y = -99 + 99
y = 0
(x, y) = (4 1/2, 0)
<u>y-intercept</u>
y = 4x² - 40x + 99
y = 4(0)² - 40(0) + 99
y = 4(0) - 0 + 99
y = 0 - 0 + 99
y = 0 + 99
y = 99
(x, y) = (0, 99)
--------------------------------------------------------------------------------------------
<u>vertex</u>
y = (x - 1)² = 2
y = (x - 1)² - 2
y = ((x - 1)(x - 1)) - 2
y = (x² - x - x + 1) - 2
y = x² - 2x + 1 - 2
y = x² - 2x - 1
x² - 2x - 1 = 0
x = <u>-(-2) +/- √((-2)² - 4(1)(-1))</u>
                     2(1)
x = <u>2 +/- √(4 + 4)</u>
                2
x = <u>2 +/- √(8)</u>
             2
x = <u>2 +/- 2.83</u>
             2
x = 1 +/- 1.415
x = 1 + 1.415    x = 1 - 1.415
x = 2.415          x = 0.415
y = x² - 2x - 1
y = (2.145)² - 2(2.145) - 1
y = 4.60125 - 4.029 - 1
y = 0.57225 - 1
y = 0.42775
(x, y) = (2.415, 0.42775)
or
y = x² - 2x - 1
y = (0.415)² - 2(0.415) - 1
y = 0.172225 - 0.83 - 1
y = -0.657775 - 1
y = -1.657775
(x, y) = (0.415, -1.657775)
<u>y-intercept</u>
y = x² - 2x - 1
y = (0)² - 2(0) - 1
y = 0 - 0 - 1
y = 0 - 1
y = -1
(x, y) = (0, -1)
6 0
3 years ago
please help asap!!!!!!!!!! Ashley and Kristin are selling wrapping paper for a school fundraiser. Customers can buy rolls of pla
SCORPION-xisa [38]

Answer:

4x+3y=68

9x+2y=77

plain= 5 shiny=16

Step-by-step explanation:

plain=x shiny=y

6 0
3 years ago
Someone please help! I'm confused with c and d.
Karo-lina-s [1.5K]

It would be 3 times the sum of x and seven plus 10. This is because first you would would add 7+x (7x) and multiply it by 3. And then add on 10.

5 0
3 years ago
Read 2 more answers
Explain the steps for dividing decimals. Write three or four sentences.
ryzh [129]

Answer:

1.First Move the decimal point in the divisor and dividend.

2.Place a decimal point in the quotient (the answer) directly above where the decimal point now appears in the dividend.

3.Divide as usual, being careful to line up the quotient properly so that the decimal point falls into place.

Step-by-step explanation:

I got it from google tbh

8 0
3 years ago
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Please help with at least one of these( I accept 1 answer if you have it; make sure you are 100% positive its correct though!)
AlladinOne [14]

Answer:

Step-by-step explanation:

7 0
3 years ago
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