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Yuki888 [10]
3 years ago
7

How many solutions does the equation 4y - 4y - 12 = 14 -2 have?

Mathematics
1 answer:
ddd [48]3 years ago
3 0

Answer:

Zero solutions

The sides are not equal

Step-by-step explanation:

4y - 4y - 12 = 14 -2\\\\\mathrm{Add\:similar\:elements:}\:4y-4y=0\\-12=14-2\\\\\mathrm{Subtract\:the\:numbers:}\:14-2=12\\-12=12\\\\\mathrm{The\:sides\:are\:not\:equal}\\\mathrm{No\:Solution}

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Expand and simpifly 2(x+7) + 3(x+1)
MaRussiya [10]

Answer: 5x+17

Step-by-step explanation:

2(x+7) + 3(x+1)

2x+14 + 3x+3

5x+17

6 0
2 years ago
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*15. Ana joins a gym that charges a $25 annual fee, plus $10 per month?
Nataliya [291]

Answer:

C. 12 months

Step-by-step explanation:

145-25= 120

120/10= 12

she pays for 12 months

8 0
2 years ago
Write an equation for a parabola with a focus of (1,-2) and a directrix of y=6
FinnZ [79.3K]

Answer:

y = - \frac{1}{16}(x - 1)² + 2

Step-by-step explanation:

Any point (x, y) on the parabola is equidistant from the focus and the directrix.

Using the distance formula

\sqrt{(x-1)^2+(y+2)^2^} = | y - 6 |

Square both sides

(x - 1)² + (y + 2)² = (y - 6)² ( expand the factors in y )

(x - 1)² + y² + 4y + 4 = y² - 12y + 36 ( subtract y² - 12y from both sides )

(x - 1)² + 16y + 4 = 36 ( subtract 4 from both sides )

(x - 1)² + 16y = 32 ← subtract (x - 1)² from both sides )

16y = - (x - 1)² + 32 ( divide all terms by 16 )

y = - \frac{1}{16} (x - 1)² + 2

8 0
3 years ago
What is f[g(3)] for the following function? <br> f(x) = 4x2 − 3<br><br> g(x) = 5x − 2
lukranit [14]

Answer:

673

Explanation:

  • f(x) = 4(x)² − 3
  • g(x) = 5(x) − 2

solve:

  • f[g(3)]
  • f(5(3) − 2)
  • f(13)
  • 4(13)² − 3
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8 0
2 years ago
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HELP!!!!!! What is the equation of the axis of symmetry for the parabola ​
Dima020 [189]

Answer:

The line of symmetry is x = 3

Step-by-step explanation:

To find the line of symmetry in this case, use the base formula for vertex form.

y = a(x - h) + k

In this formula, h is the line of symmetry. In this case, h is 3.

3 0
2 years ago
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