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tatyana61 [14]
3 years ago
8

Describe the translation using words and coordinate notation

Mathematics
1 answer:
BigorU [14]3 years ago
7 0
5 to the right, 2 up.
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Please could you explain this step by step I’m really stuck.
allochka39001 [22]

Answer:

x = -2.5
x = 2

Step-by-step explanation:

Hello!

We can remove the denominators by multiplying everything by it.

Solve:

  • \frac{5}{x + 3} + \frac4{x + 2} = 2
  • 5 + \frac{4(x + 3)}{x + 2} = 2(x + 3)
  • 5 + \frac{4x + 12}{x + 2} = 2x + 6
  • 5(x + 2) +4x + 12 = (2x + 6)(x + 2)
  • 5x + 10 + 4x + 12 = 2x^2 + 6x + 4x + 12
  • 9x + 22 = 2x^2 + 10x + 12

Let's make one side equal to 0.

  • 0 = 2x^2 + x - 10

Solve by factoring, and then the zero product property.

  • 0 = 2x^2 + x - 10\\

Multiply 2 and -10. You get -20. Think of two number that multiply to -20, and add to 1. If we think about the standard form of a quadratic, ax^2 + bx + c, think two numbers that equal "ac" and add up to "b".

  • 0 = 2x^2 - 4x + 5x - 10
  • 0 = 2x(x - 2) + 5(x - 2)
  • 0 = (2x + 5)(x - 2)

Using the zero product property, set each factor to 0 and solve for x.

  1. 2x + 5 = 0
    2x = -5
    x = -5/2 = -2.5
  2. x - 2 = 0
    x = 2

The two answers are x = -2.5, and x = 2.

3 0
2 years ago
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It will take 9 months for Allie to have $100 more than her sister.
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Write an equation of a piecewise defined function with the given conditions: domain is (-3, 2) u (2, ∞) range is (-1, ∞) functio
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\left \{ {{f(x)=x+2, -3\ \textless \ x\ \textless \ 2} \atop {f(x)=x-2, 2\ \textless \ x\ \textless \ infinity}} \right.

f(x) has to be close to -1 when x is close to -3, and so f(x) is increasing when x increases, and there are no numbers from -1 to ∞ that there is no f(x) value. In the first piece of the function <span>f(x) ranges from -1 to 4 and the second piece from 0 to ∞ so. The ranges had to overlap since it's not defined at x = 2.</span>
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Help me please and explain it to me on why, I dont understand how. thank you!!​
aliina [53]

Answer:

A).

Step-by-step explanation:

The 72 is the initial height in feet of the object.

Initially the time = 0 seconds. If we plug zero into  the function we get:

h(0) -16(0)^2 + 110(0) + 72

= 0 + 0 + 72

= 72 feet.

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Edgar Anderson earns 300 a week plus a 15% commission only on sales he makes after his first 1,000 in sales. If me. Anderson’s s
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