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Elodia [21]
3 years ago
11

1. Find the remainder if f(x) = 2x³ + 8x² – 5x + 5 is divided by x – 2.​

Mathematics
1 answer:
Hunter-Best [27]3 years ago
4 0

Answer:

The answer to your question is 43

Step-by-step explanation:

                                 

                  2x³  + 8x² - 5x + 5 / x - 2

Process

1.- Use synthetic division

                      2   8    -5    5     2

                           4    24  38                          

                      2  12    19   43

Quotient    2x² + 12x + 19

Remainder     43

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An educational psychologist wishes to know the mean number of words a third grader can read per minute. She wants to make an est
MrRa [10]

Answer:

<em> 85% level of the confidence interval is</em>

<em>(26.337, 26.662)</em>

Step-by-step explanation:

<u><em>Explanation</em></u>:-

Given the size of the sample 'n' = 295

Mean of the sample x⁻ = 26.5

The Standard deviation of the Population = 2.7

85% level of the confidence interval is determined by

(x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })

Critical value Z₀.₁₅ = 1.036

<em> 85% level of the confidence interval is determined by</em>

(x^{-} - Z_{0.15} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.15} \frac{S.D}{\sqrt{n} })

(26.9 -1.036 \frac{2.7}{\sqrt{295} } , 26.5 + 1.036 \frac{2.7}{\sqrt{295} })

( 26.5 - 0.1628 , 26.5+0.1628)

(26.3372,26.6628)

7 0
3 years ago
2(5 + y) = 18 what does y=​
jeka94
2(5+y)= 18 than y= 4
5 0
3 years ago
Read 2 more answers
What are equivalent to2x+4
lakkis [162]

Answer:

3x + 3, 4x+2, 5x+1

Step-by-step explanation:

what are equivalent to2x+4

4 0
3 years ago
Consider the line y=-3x+3.
emmainna [20.7K]

Answer:

y= 3x+17; y= -\frac13x +\frac{11}3

Step-by-step explanation:

First problem. If you want a parallel to a given line, you keep the slope.

Then we use the point-slope form of a line

y-y_0=m(x-x_0) and we plug in there everything we need.

y-5=3(x+4) \rightarrow y=3x+12+5\\y=3x+17

The second is quite similar. This time we want the perpendicular. It means that the product of the slopes has to be -1.

3\cdot m = -1 \rightarrow m=-\frac13

At this point we have everything, let's replace and write down the line in a better looking form

y-5=-\frac13(x+4) \rightarrow y= -\frac13 x -\frac43 +5\\y= -\frac13x -\frac43 +\frac{15}3 \rightarrow y= -\frac13x +\frac{11}3

7 0
2 years ago
(PLEASEEE HELP) Which graph of which line represents a
anzhelika [568]
Graph B represents a proportional relationship.
3 0
3 years ago
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