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Greeley [361]
3 years ago
12

Can u guys PLEASE ANSWER this question ASAP.

Mathematics
1 answer:
qwelly [4]3 years ago
8 0

Answer:

x = -14

Step-by-step explanation:

The expression to write in this problem is:

"the sum of x and 12 equals the sum of half of x and 5"

We have:

- The sum of x and 12 is: x+12

- The sum of half of x and 5 is: \frac{1}{2}x+5

So, the equation to write in this problem is

x+12=\frac{1}{2}x+5

We solve it as follows:

1) First, we subtract \frac{1}{2}x from both sides, and we get

x-\frac{1}{2}x+12=\frac{1}{2}x-\frac{1}{2}x+5\\\frac{1}{2}x+12=5

2) Then, we subtract 12 from both sides:

\frac{1}{2}x+12-12=5-12\\\frac{1}{2}x=-7

3) Now we multiply both sides by 2:

\frac{1}{2}x\cdot 2=-7\cdot 2\\x=-14

So, this is the solution.

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3. For the polynomial: ()=−2(+19)3(−14)(+3)2, do the following:A. Create a table of values that have the x-intercepts of p(x) in
Pepsi [2]

Part A. We are given the following polynomial:

\mleft(\mright)=-2\mleft(+19\mright)^3\mleft(-14\mright)\mleft(+3\mright)^2

This is a polynomial of the form:

p=k(x-a)^b(x-c)^d\ldots(x-e)^f

The x-intercepts are the numbers that make the polynomial zero, that is:

\begin{gathered} p=0 \\ (x-a)^b(x-c)^d\ldots(x-e)^f=0 \end{gathered}

The values of x are then found by setting each factor to zero:

\begin{gathered} (x-a)=0 \\ (x-c)=0 \\ \text{.} \\ \text{.} \\ (x-e)=0 \end{gathered}

Therefore, this values are:

\begin{gathered} x=a \\ x=c \\ \text{.} \\ \text{.} \\ x=e \end{gathered}

In this case, the x-intercepts are:

\begin{gathered} x=-19 \\ x=14 \\ x=-3 \end{gathered}

The multiplicity are the exponents of the factor where we got the x-intercept, therefore, the multiplicities are:

Part B. The degree of a polynomial is the sum of its multiplicities, therefore, the degree in this case is:

\begin{gathered} n=3+1+2 \\ n=6 \end{gathered}

To determine the end behavior of the polynomial we need to know the sign of the leading coefficient that is, the sign of the coefficient of the term with the highest power. In this case, the leading coefficient is -2, since the degree of the polynomial is an even number this means that both ends are down. If the leading coefficient were a positive number then both ends would go up. In the case that the leading coefficient was positive and the degree and odd number then the left end would be down and the right end would be up, and if the leading coefficient were a negative number and the degree an odd number then the left end would be up and the right end would be down.

Part C. A sketch of the graph is the following:

If the multiplicity is an odd number the graph will cross the x-axis at that x-intercept and if the multiplicity is an even number it will tangent to the x-axis at that x-intercept.

6 0
1 year ago
Cause I lowkey suck at math How do I do this
dimaraw [331]
1. The slope is -2/5 not 3-/10
5 0
3 years ago
4. A river tour boat is going down a stream to a park for lunch and then back up. It is a 60-mile round trip. On
DiKsa [7]

Answer:

The speed of the boat in still water is 10 miles / hour

Step-by-step explanation:

The trip there, and the trip back are the same -- 30 miles

Let the rate of the boat = x

Let the rate of the water = y

30 = 2*(x + y)

30 = 6*(x - y)

Divide the top equation by 2

Divide the bottom equation by 6

15 = x + y

<u>5  = x - y   </u>            Add the equations together.

20 = 2x                 Divide by 2

20/2 = x

x = 10

3 0
2 years ago
Help please help please
scoundrel [369]

Answer:

just use algebraic expression

8 0
2 years ago
Which statment explains how the lines x+y=2 and y=x+4 are related?​
Nata [24]

Answer:

they are perpendicular

Step-by-step explanation :

<u>If you graph both equations you will see that they Intersect with each other.</u><u> </u>

3 0
2 years ago
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