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elena55 [62]
2 years ago
10

Convert 89/10 into a mixed number ​

Mathematics
2 answers:
kompoz [17]2 years ago
6 0

Answer:

8 9/10

Step-by-step explanation:

89 goes into 10 8 times.

8x10=80.

89-80=9

So the answer is 8 9/10

gregori [183]2 years ago
3 0

Answer:

10 8/10

Step-by-step explanation:

the rest is just to get to 20

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


6 0
3 years ago
Read 2 more answers
Enrique is measuring the mass of a flower petal. Which unit of measurement should he use to eliminate the need to write the valu
GuDViN [60]

Answer:

do you have a pic of it.

Step-by-step explanation:

6 0
3 years ago
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Matthew makes 5 apple pies for every 3 blueberry pies last week Matthew made 15 blueberry pies how many apple pies did he make
KIM [24]

Answer:

25

Step-by-step explanation:

5:3

3*5=15

This means that 5 apple pies times 5.

5*5=25

<u>25</u>:15

3 0
3 years ago
Determine the domain of the function f(x)=1/3x^2+10x+8
cricket20 [7]
The function is
f(x) = (1/3)x² + 10x + 8

Write the function in standard form for a parabola.
f(x) = (1/3)[x² + 30x] + 8
      = (1/3)[ (x+15)²- 225] + 8
      = (1/3)(x+15)² -75 + 8
f(x) = (1/3)(x+15)² - 67

This is a parabola with vertex at (-15, -67).
The axis of symmetry is x = -15
The curve opens upward because the coefficient of x² is positive.
As x -> - ∞, f -> +∞.
As x -> +∞, f -> +∞
The domain is all real values of x (see the graph below).

Answer: The domain is (-∞, ∞)

8 0
3 years ago
Write the prime factorization of using exponents.
kozerog [31]

Answer:  26∗34 2 6 ∗ 3 4

Step-by-step explanation:

3 0
3 years ago
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