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GrogVix [38]
2 years ago
15

F(x) = 12 + x X f(x) -3 -1 0 4 6

Mathematics
1 answer:
katen-ka-za [31]2 years ago
7 0

9514 1404 393

Answer:

  (-3, 9), (-1, 11), (0, 12), (4, 16), (6, 18)

Step-by-step explanation:

The function definition tells you that adding 12 to the x-value will give you the value of f(x).

  -3 +12 = 9, for example

The (x, f(x)) values for the table are shown above.

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Find the zeros of the polynomial function and state the multiplicity of each.
zheka24 [161]
\bf f(x) = 4(x + 7)^2(x - 7)^3\implies 0 = 4(x + 7)^2(x - 7)^3
\\\\\\
0=(x+7)^2(x-7)^3\implies 
\begin{cases}
0=(x+7)^7\\
\qquad 0=(x+7)(x+7)\\
\qquad -7=x\\
\qquad -7=x\\
----------\\
0=(x-7)^3\\
\qquad 0=(x-7)(x-7)(x-7)\\
\qquad 7=x\\
\qquad 7=x\\
\qquad 7=x
\end{cases}

the -7 is found there twice, so it has a multiplicity of 2
the +7 is there thrice, so it has multiplicity of 3
7 0
2 years ago
Find the x-intercept of the following equation. Simplify your answer.
lawyer [7]

Answer:

y intercept=3/2

Step-by-step explanation:

First of all, write it in slope intercept form

y=-1/6x+3/2

y=mx+b

b=y-intercept

y intercept=3/2

7 0
3 years ago
Read 2 more answers
Sam and Bethan share £54 in the ratio of 5:4 work out how much each gets
Sindrei [870]
Answer:
Sam gets £30 and Bethan gets £24.
Why?
When dealing with ratios, add up the numbers in the ratio.
5 + 4 = 9
Now, divide the total amount of money by that number.
£54/9 = 6
Now you have the base rate. Multiply each quantity in the ratio by this number.
5*6 = 30
4*6 = 24
Now, the ratio is (in euro) 30:24. This means that Sam has £30 and Bethan has £24.
Check:
30 + 24 = 54
6 0
3 years ago
Find the solution of the system of equations.<br> -x+3y=9<br> -x-y=-3
Inessa [10]

Step-by-step explanation:

use the steps of simultaneous

elimination steps

4 0
3 years ago
Tim looks up at the top of a tree at an angle of elevation of 40 degrees. If heis 5 ft tall and 10 ft from the tree, how tall is
dolphi86 [110]
<h2>Answer:</h2>

13.391 ft

<h2>Explanations:</h2>

The schematic diagram of the given question is shown below;

The height of the tree is expressed as:

H = h +5

Determine the value of h using the SOH CAH TOA identity

\begin{gathered} tan\theta=\frac{opposite}{adjacent} \\ tan40^0=\frac{h}{10} \\ h=10tan40 \\ h=10(0.8391) \\ h=8.391ft \\  \end{gathered}

Determine the height of the tree

\begin{gathered} H=h+5 \\ H=8.391+5 \\ H=13.391ft \end{gathered}

Hence the height of the tree is 13.391ft

3 0
10 months ago
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