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d1i1m1o1n [39]
3 years ago
11

When two fraction refer to the same whole and have the same denominators , explain why you can compare only the numerators

Mathematics
1 answer:
frez [133]3 years ago
8 0
Because two fractions are equal fractions when they represent the same part of a whole. if denominators are different you need to first equal the denominator then further proceed to solve
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Rewrite the function f(x)=-2(x+2)^2+6 in the form f(x)=ax^2+bx+c
Romashka [77]

Answer:

f(x) = -2x² - 8x - 2

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Expand by FOIL (First Outside Inside Last)
  • Standard Form: f(x) = ax² + bx + c
  • Vertex Form: f(x) = a(bx + c)² + d

Step-by-step explanation:

<u>Step 1: Define function</u>

Vertex Form: f(x) = -2(x + 2)² + 6

<u>Step 2: Find Standard Form</u>

  1. Expand by FOILing:                         f(x) = -2(x² + 4x + 4) + 6
  2. Distribute -2:                                     f(x) = -2x² - 8x - 8 + 6
  3. Combine like terms (constants):     f(x) = -2x² - 8x - 2
8 0
3 years ago
Need help with problems 16 and 17, please? I'll do brainiac
natali 33 [55]

Answer: 16) y=-0.5x+3 and 17) y=2x-3

Step-by-step explanation:

16: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.

Since y=3 at x=0, the y-intercept is (0,3), and b=3.

Slope=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  } where (x_{1} ,y_{1}) and (x_{2} ,y_{2}) are two points on the line. Choose (0,3) and (2,2):

Slope=\frac{2-3}{2-0}=-0.5

Plug m=-0.5 and b=3 into y=mx+b:

y=-0.5x+3

17: The slope-intercept form of a line is y=mx+b, where m is the slope, and b is the y-value at the y-intercept.

Because y=-3 at x=0, the y-intercept is (0,-3), and b=-3.

Slope=\frac{y_{2} -y_{1} }{x_{2}-x_{1}  } where (x_{1} ,y_{1}) and (x_{2} ,y_{2}) are two points on the line. Choose (0,-3) and (1,-1):

Slope=\frac{-3-(-1)}{0-1}=\frac{-2}{-1}=2

Plug m=2 and b=-3 into y=mx+b:

y=2x-3

5 0
3 years ago
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MrRa [10]
Muplication by the power of 10
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4 years ago
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What is the constant of proportionality in the equation y=1/2x
grandymaker [24]

Answer:

1/2

Step-by-step explanation:

y = (1/2)x has the format y = kx, where k is the const. of prop.  In this particular case that const. of prop. is (1/2).


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Malik's bike tire has a circumference of 25.12 inches. What is the radius of the bike tire?
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4 because you divide it first and then you divided by 3.14
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