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Nataly_w [17]
3 years ago
12

What is (2+y)³ written out?

Mathematics
1 answer:
Aleksandr-060686 [28]3 years ago
5 0
{ \left( 2+y \right)  }^{ 3 }\\ \\ =\left( 2+y \right) \left( 2+y \right) \left( 2+y \right) \\ \\ =\left( 2+y \right) \left( 4+4y+{ y }^{ 2 } \right)

\\ \\ =2\left( 4+4y+{ y }^{ 2 } \right) +y\left( 4+4y+{ y }^{ 2 } \right) \\ \\ =8+8y+2{ y }^{ 2 }+4y+4{ y }^{ 2 }+{ y }^{ 3 }\\ \\ ={ y }^{ 3 }+6{ y }^{ 2 }+12y+8
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2. A function g(x) is defined by the diagram shown below.
skad [1K]

Answer:

Step-by-step explanation:

diagram attached represents a function g(x).

Circle (1) (circle on the left) represents the set of domain (input values) and circle (2) represents the range (output values).

a). For input value x = 7, out put value of the function is y = 9.

   Therefore, g(7) = 9 will be the answer.

b). Range of the function g(x) is the set of output values.

    Range: {12, 9, 9, 17}

c). Inverse of the function g(x) will have,

   Domain: {12, 9, 9, 17}

   Range: {4, 7, 10, 15}

   For input value of x = 9, there are two output values y = 7, 10.

   Since, "a function can't have two output values for the same input value".

   Therefore, inverse of the function g(x) will not represent a function.

8 0
3 years ago
Approximate the interest rate for a lease that comes with a money factor of 0.0027. a. 0.65% b. 1.13% c. 6.5% d. 11.25%
Andrej [43]
The answer is 6.5%, I just took a test with this question.
7 0
2 years ago
Read 2 more answers
Which of the following is the solution to the equation x + 8.6 = 36.2?
zalisa [80]
We have that
<span>x + 8.6 = 36.2
step 1

</span><span>Subtract 8.6 both members
</span><span>x+8.6-8.6=36.2-8.6
x=27.6

the answer is
the solution is x=27.6

</span>
3 0
3 years ago
Read 2 more answers
4 -12 36 -108 324 what's the rule
balandron [24]
Hello,
u_{1}=4\\&#10;u_{2}=4*3=12\\&#10;u_{3}=4*3^2=36\\&#10;u_{4}=4*3^3=108\\&#10;...\\&#10;&#10;\boxed{u_{n}=4*{n-1}}\\
6 0
2 years ago
One side of a triangular lot is 150 ft and the angel oppiste this side is 55 degrees. Another angel is 63 degrees. Determine how
Olenka [21]

Answer:

474.84 ft of fencing is needed

Step-by-step explanation:

We know that the angles of a triangle sum up 180º. We already know 2 of the triangle's angles (55º and 63º). Therefore the third angle measures:

180 - 55 - 63 = 62.

To know how much fencing is needed, we need the perimeter of the triangle, so we need to find out how much the other sides of the lot measure.

We will use law of sins to solve this problem.

First we solve for y:

\frac{150}{sin55}= \frac{y}{sin63}  \\y=150 (sin63)/(sin55)\\y=133.65/.8191\\y=163.16

Now we solve for the other side of the lot, x:

\frac{150}{sin55}=\frac{x}{sin62}\\  x=150(sin62)/(sin55)\\x=150(.8829)/.8191\\x=132.435/.8191\\x=161.68

Now that we have the measures of all the sides we sum them up

total fencing needed= 150 + 163.16 + 161.68 = 474.84

5 0
3 years ago
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