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VashaNatasha [74]
3 years ago
7

Mercury orbits the Sun in 87 24/25 earth days. Venus orbits the Sun in 224 7/10 earth days and Mars orbits the sun in 686 49/50

earth days. Express each mixed number as decimal.
Mathematics
1 answer:
Rufina [12.5K]3 years ago
7 0
87 24/25.......24/25 = 0.96......answer is 87.96

224 7/10....7/10 = 0.7....answer is 224.7

686 49/50...49/50 = 0.98...answer is 686.98
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What is the range of the function y=(x+2)(x-4)<br><br> Please explain how you got it as well
Dima020 [189]

Answer:

The range is between -2 and +4.

Step-by-step explanation:

To find range you just need to get X ignoring the Y.

(X+2) is X= -2

(X-4) is X = +4

4 0
3 years ago
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Find the value of 7w-2 given that - 2w-4=6 .
Vesnalui [34]

Answer:

w= -5

Step-by-step explanation:

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  • -2w - 4 + 4 = 6 + 4
  • -2w = 10

Isolate "w":

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3 years ago
Plls help im failing
allsm [11]

Answer:

9^35

Step-by-step explanation:

4 0
3 years ago
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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
If 11^-x=4, what does 11^2x equal
max2010maxim [7]

Answer:

0.0625

Step-by-step explanation:

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3 0
3 years ago
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