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LenaWriter [7]
3 years ago
5

Given the scatter plot below, which of the following equations best models the data?

Mathematics
1 answer:
stellarik [79]3 years ago
8 0
Rmember that the form y = mx + b is a straight line whose y-intercept is b and slope is m.

On the graph you can see that the y-intercept is beteween 0 and 5.

The equations given as options have y-intercepts 6, 20, 18, and 3, in that order.

And the only equation of the options that meet that is the option D. y = 3x + 3.

You can also check that the slope of that equation is 3 and it is roughly the slope of an intermediate line between the dots.

Answer: option D. y = 3x + 3.

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5·7+(3z+0·3) =<br> solve
vlada-n [284]

Answer:

3z+35

Step-by-step explanation:

5 0
3 years ago
Haruka owns an umbrella factory. The revenue,R, she makes from selling n umbrellas is given by the function R(n)=18n, and the pr
RSB [31]

The question is to find an expression for the expenses


<u>Answer:</u>

E (x) =n + 5


<u>Explanation:</u>

The profit is defined as the difference between the revenue and the expenses.

<u>This means that:</u>

profit = revenue - expenses


<u>Now, we rearrange the equation to solve for expenses:</u>

expenses = revenue - profit


<u>From the given, we know that:</u>

expression for revenue is 18n

expression for profit is 17n - 5


<u>Substitute in the equation to get expression for expenses as follows:</u>

E (x) = 18n - (17n - 5)

E (x) = 18n - 17n + 5

E (x) = n + 5


Hope this helps :)

6 0
4 years ago
Show all work to factor x4 − 10x2 + 9 completely.
leva [86]

Answer:

(x+1)(x-1)(x+3)(x-3)

Step-by-step explanation:

x4-10x^2+9

Group expression so that the coefficients of the x^2 terms add up to +9.

= x^4 -9x^2   - x^2+9

match coefficients in both groups

= x^4 -9x^2   - (x^2-9)

factor each group

= x^2 (x^2-9) - 1(x^2-9)

now factor out the common factor (x^2-9)

= (x^2-1)(x^2-9)

Finally, factor each quadratic factor

= (x+1)(x-1)(x+3)(x-3)

6 0
3 years ago
Read 2 more answers
What is the solution to the inequality 28 &gt; 4 – 2p?
FinnZ [79.3K]
When multiply or divide an inequality by a negative number, flip the direction of the sign (ex, from  < to > or vice verca)


28>4-2p
minus 4 from both sides
24>-2p
divide both sides by -2 and don't forget to flip the sign
-12<p
p>-12
3 0
3 years ago
Read 2 more answers
James is playing his favorite game at the arcade. After playing the game 3 times, he has 8 tokens remaining. He initially had 20
lapo4ka [179]
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6 0
3 years ago
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