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CaHeK987 [17]
3 years ago
12

There is a graph on my hw test

Mathematics
1 answer:
Ugo [173]3 years ago
7 0

Answer:

or, 2y<7 - 3

or, 2y<4

or, y<4/2

or, y<2

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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
I need help on this question for the beginning of the year test
nika2105 [10]

Answer:

She still has to cut 1 3 /16

Step-by-step explanation:

Olivia wants to cut 3 3/4 inches from a piece of string. Converting 3 3/4 to improper fraction, it becomes 15/4 inches.

She already cut off 2 9/16 inches converting to improper fractions it becomes 41/16 inches.

15/4 - 41/16 = (60-41)/16 = 19/16 inches

19/16 = 1.187 ~ 1

19 - (16 x 1) =3

8 0
3 years ago
What’s 448+1.75+80.3 step by step
Serga [27]

Answer:

530.05

Step-by-step explanation:

you add 448 and 1.75 together, which is 449.75, then you add 449.75 and 80.3 together, which adds up to 80.3 hope this helps :)

6 0
3 years ago
Solve for "W"<br><br> -1 &gt; 2W + 7
jeka57 [31]

-1>2W+7

-8>2w

w = -8/2 = -4

w>-4

8 0
3 years ago
Read 2 more answers
Please i need help asap!! ​
chubhunter [2.5K]

Answer:

(-4,-1) is the answer to this.

7 0
2 years ago
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