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Sidana [21]
4 years ago
8

How do you know if you have reduced a fraction into its simplest form?

Mathematics
1 answer:
aev [14]4 years ago
8 0

If the greatest common divisor of the numerator and the denominator is 1, then the fraction is irreducible.

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When Sandy bought a dress, she paid an 8% sales tax of $2.40.
Maslowich

Answer:

$30.00

Step-by-step explanation:

price of dress x 8% = $2.40

price of dress = 2.40/.08

price of dress = $30.00

6 0
3 years ago
Use the diagram to the right to solve for y.
Pie

Answer: D y=20

Step-by-step explanation: I minus 115 and 120 and and multiplied 4x and i got y=20. I hope this helps

5 0
3 years ago
Write a polynomial f(x) that satisfies the given conditions.
patriot [66]

Answer:

f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1

Step-by-step explanation:

Recall, if we have a polynomial of the form (x-a)^k \cdot (x-b)^m, then we say that a is a zero of multiplicity k and b is a zero of multiplicty m. For example, in the polynomial of the form (x+5)^10(x-2)^3 -5 is a zero of multiplicity 10 and 2 is a zero of multiplicity 3. If we want to know the degree of the polynomial,  just add the multiplicity of both zeros (13 in our example).

In this case, we know that the degree of our polynomial should be at least 3(multiplicity 2 and multiplicity 1). So, lets take the polynomial of the form

f(x)=(x-a)(x-b)^2).

In here, a is a zero with multiplicity 1 and b is a zero with multiplicity 2. We are also given that

f(0) = -1 = (0-a)(0-b)^2 = -a\codt b^2.

Which implies that 1 = a\cdot b^2. Since the square of any number is a positive number, it must happen that a>0. So, we have that

b= \pm \sqrt[]{\frac{1}{a}}.

We can choose any value of a and solve for b. Let us choose a=4. So we can have b=1/2 or b=-1/2. Let's use b=1/2. So our polynomial would be

f(x) = (x-4)(x-\frac{1}{2})^2 = x^3-5x^2+4.25x -1

which we can easily check that f(0)=-1.

6 0
4 years ago
Factor completely: x2 + 6x + 8
Bumek [7]
You can factor x^2+6x+8 using the AC method.
Which would be: (x+2)(x+4)
Hope I helped.
8 0
3 years ago
The range of the data
Natali [406]
The range refers to the area where the data points fall from the lowest to highest. Here, the lowest point is 437 and the highest is 1465. So the range is from 437 to 1465

Hope this helps
7 0
4 years ago
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