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3 years ago

I need help with a scatter plot

Mathematics

1 answer:

xeze [42]3 years ago

4 0

Answer:

Scatter plots are like graphs in which you plot points. The rate can vary. They are mainly used to compare temperatures, or weather. Also other types of data like population.

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Find number a and k so that x-2 is afactor<br>OF F(x)=x4-2ax tax-<br>X+k and F(-1)=3

Slav-nsk [51]

Question:

Find numbers a and k so that x-2 is a factor of

$f(x)=x^4-2ax^3+ax^2- x+k$

and

$f(-1)=3$

Answer:

$k = -2$ and $a=1$

Step-by-step explanation:

Given

$f(x)=x^4-2ax^3+ax^2- x+k$

$Factor:\ x - 4$

$f(-1)=3$

Required

Find a and k

For $f(-1)=3$

Substitute -1 for x

$f(x)=x^4-2ax^3+ax^2- x+k$

$f(-1) = (-1)^4 - 2a *(-1)^3 + a*(-1)^2 - (-1) + k$

$f(-1) = 1 - 2a *-1 + a*1 +1 + k$

$f(-1) = 1 +2a + a +1 + k$

$f(-1) = 2 +3a + k$

Substitute 3 for f(-1)

$3 = 2 +3a + k$

Collect Like Terms

$3 - 2 = 3a + k$

$1 = 3a + k$

Also:

If $x - 2$ is a factor, then

$f(2) = 0$

Substitute 2 for x and 0 for f(x)

$f(x)=x^4-2ax^3+ax^2- x+k$

$0 = 2^4 - 2a * 2^3 + a * 2^2 - 2 + k$

$0 = 16 - 2a * 8 + a * 4 - 2 + k$

$0 = 16 - 16a + 4a - 2 + k$

$0 = 16 - 12a - 2 + k$

Collect Like Terms

$2 - 16 = - 12a + k$

$-14 = k - 12a$

$k = 12a - 14$

Substitute 12a - 14 for k in $1 = 3a + k$

$1 = 3a + 12a - 14$

$1 = 15a - 14$

Collect Like Terms

$15a = 1 + 14$

$15a = 15$

Solve for a

$a = \frac{15}{15}$

$a=1$

Substitute 1 for a in $k = 12a - 14$

$k = 12 * 1 - 14$

$k = 12 - 14$

$k = -2$

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2 years ago

Please answer ASAP! An explanation is a MUST REQUIREMENT in order to receive points and the Brainliest answer. Thank you.

Komok [63]

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6 0

3 years ago

B. 5 times the sum of 7 and 23

Lynna [10]

5 (7 + 23)

(Use distributive property to solve)

1. 5*7 + 5*23

2. 35 + 115

3. 150

7 0

3 years ago

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The table below lists the median heights (in cm) of girls from ages 2 to 10. Find an equation for the line of best fit.

vovangra [49]

Answer: Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :)

Step-by-step explanation:

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3 years ago

The standard golf ball has a mass of 45g. How many golf balls are there in a bag weighing 1.8kg?

Butoxors [25]

This is a working backwards question.
Since the golf ball was 45g, and the bag was 1.8kg,we need to make them the same units.
45g= 0.45kg
1.8kg= 1.8kg

Now that the units are the same, we put it in a calculator.

1.8÷0.45= 4

Therefore, there are 4 golf balls in the bags.
We can check this by doing 4×0.45= 1.8

Hope this helped!

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3 years ago

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I need help with a scatter plot​

I need help with a scatter plot