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AlladinOne [14]
3 years ago
7

Write the decimal 2.91 as a fraction or mixed number,

Mathematics
1 answer:
patriot [66]3 years ago
3 0

Answer:

291/100

Step-by-step explanation:

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6 divided by 2 times 200 multiplied by 5
kari74 [83]
6/2 = 3

3 x 200 = 600

600 x 5 = 3,000

3000 is your answer

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6 0
3 years ago
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The graph represents the function (check picture)
Taya2010 [7]

Answer:

a = 1 and b = -12

Step-by-step explanation:

* Lets look to the graph to solve the problem

- f(x) is a rational function with:

# numerator ⇒ x² - 4x + 3

# denominator ⇒ x² + ax + b

- To find the values of a and b lets use the hole and the vertical

  asymptote in the graph of the function

∵ There is a hole at x = 3

- The hole appears when the numerator and the denominator have

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∵ x = 3 ⇒ subtract 3 from both sides

∴ x - 3 = 0

∴ The numerator and the denominator have a factor (x - 3)

- The vertical asymptotes appear at the zeros of the denominator

  that means the values of x when the denominator = 0

∵ There is a vertical asymptote at x = -4

∵ x = -4 ⇒ add 4 for both sides

∴ x + 4 = 0

∴ The denominator has another factor (x + 4)

- The denominator x² + ax + b has two factors (x - 3) and (x + 4) lets

  multiply them to find the value of a and b

∵ (x - 3)(x + 4) = (x)(x) + (x)(4) + (-3)(x) +(-3)(4)

∴ (x - 3)(x + 4) = x² + 4x - 3x - 12 = x² + x - 12

∴ x² + ax + b = x² + x - 12

- By comparing the two sides

∴ a = 1 and b = -12

8 0
3 years ago
Triangle XYZ has vertices at X(–2, –1), Y(–3, –6), and Z(–7, –5). If triangle XYZ is rotated 90° clockwise, what will be the coo
Delvig [45]

Answer:1. Is right 3 down 5, because to get from x(0,0) to x'(3,-5), you need I shift to the right 3 and downwards 5.

2. Counterclockwise 180 degrees. This is because 180 degrees is half of a full rotation (360 degrees), meaning the point would be the same no matter which way you rotated 180 degrees.

3. Clockwise 90 degrees. Going counter clock wise 270 degrees is like going around 3/4 of a circle (because 270/360 is 3/4). Just as well, going clock wise 90 degrees is like going 1/4 of the circle, but in the opposite direction. This means they will both land at the same point.

Hope this Helps!

Step-by-step explanation:

8 0
3 years ago
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The council rates are set to rise by 15%. If Teresa pays $950 per year now, what will she pay next year after the rise?
Eddi Din [679]

Answer:

She will pay $1092.50 because .15x950 is 142.50 and if you add that to 950. you get $1092.50

7 0
3 years ago
Expand the polynomial (x2 − y2)2 + (2xy)2, then simplify it by combining like terms.
Vlada [557]
<span><span>2<span>x^2</span></span>+<span><span>4x</span>y</span></span>−<span>2<span>y^<span>2
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