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MakcuM [25]
3 years ago
7

Solve for y 48= 8/3y ​

Mathematics
1 answer:
blsea [12.9K]3 years ago
6 0

Answer:

y = 18

Step-by-step explanation:

To find the value of y, you must multiply the fraction 8/3 by its reciprocal 3/8 to both sides. That means you do 48 times 3/8 to get your y value. Once you multiply you get 144/8 which simplifies to 18.

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3 years ago
NEED HELP
Zina [86]

Answer:

\displaystyle \frac{1}{2}(x^3-2x^2-5x+6)

Step-by-step explanation:

<u>Polynomials </u>

a)

The polynomial whose graph is shown is of third degree because it has three real roots. The roots of a polynomial are the values of x that make the expression equal to zero. We can see it happens three times in the graph provided. The roots or zeros are  

x=-2, x=1, x=3

b)

The factored form of a polynomial whose roots x_1, x_2, x_3 are known is

a(x-x_1)(x-x_2)(x-x_3)

We know the value of the roots, thus the polynomial is written as

a(x+2)(x-1)(x-3)

We need to find the value of a. We do that by replacing the value of x=0 and finding a that makes f(0)=3 (as seen in the graph). Thus

a(0+2)(0-1)(0-3)=3

a(2)(-1)(-3)=3

a(6)=3

\displaystyle a=\frac{3}{6}

\displaystyle a=\frac{1}{2}

Thus the factored form of the polynomial is

\displaystyle \frac{1}{2}(x+2)(x-1)(x-3)

c)

Let's multiply all the factors

\displaystyle \frac{1}{2}(x+2)(x-1)(x-3)

\displaystyle \frac{1}{2}(x^2+2x-x-2)(x-3)

\displaystyle \frac{1}{2}(x^2+x-2)(x-3)

\displaystyle \frac{1}{2}(x^3-3x^2+x^2-3x-2x+6)

\boxed{ \displaystyle \frac{1}{2}(x^3-2x^2-5x+6)}

7 0
4 years ago
Find the coordinates of the midpoint of<br> GH with endpoints G(-9, 3) and H(-2, 7).
Maurinko [17]

════════ ∘◦❁◦∘ ════════

<h3>Answer = (5/2),(7/2)</h3>

════════════════════

<h3>Known</h3>

x1 = (-9)

y1 = 3

x2 = (-2)

y2 = 7

════════════════════

<h3>Question</h3>

Mid point = ..?

════════════════════

<h3>Way to do</h3>

#note that . in this equation is ,

mid \: poimt \:  = ( \frac{y2 - y1}{2} ).( \frac{x2 - x1}{2} )

mid \: poimt \:  = ( \frac{7 - 3}{2} ).( \frac{( - 2) - ( - 9) }{2} )

mid \: poimt \:  = ( \frac{5}{2} ).( \frac{7}{2} )

════════════════════

5 0
3 years ago
7. (11 letters)
ella [17]
7. translation
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5 0
4 years ago
Read 2 more answers
Height of 10th grade boys is normally distributed with a mean of 63.5 in. and a standard deviation of 2.9 in . The area greater
lisov135 [29]

Answer:

Step-by-step explanation:

Use a calculator with probability distribution functions built-in:

normalcdf(70, 10000,63.5,2.9) = 0.013 (a little over 1%)

6 0
3 years ago
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