<span>it's y-intercept (0,-1) and (1,2)
so
slope = (2+1)/(1-0) = 3
</span><span>equation should be y = 3x − 1
answer: </span><span>y = 3x − 1</span>
The value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).
<h3>What is synthetic division?</h3>
In the case of dividing by a linear factor, the synthetic division is a shorthand, or quicker, a technique of polynomial division.
The question is attached to the picture please refer to the picture.
We have a polynomial:
x³ - 3x² - 10x + 24
Which is divided by (x - 2)
We can divide using the synthetic division:
The first row: 1 -3 -10 24
The entry outside the row: 2
The missing value which is 2
k = 2
Thus, the value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).
Learn more about the synthetic division here:
brainly.com/question/11850611
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Answer: it will take 125 additional minutes for both costs to be equal.
Step-by-step explanation:
Let a represent the number of additional minutes that it will it take for the two to be the same.
Company A charges a flat fee of 59.99 a month and .43 additional minutes. This means that the total cost of a additional units would be
0.43x + 59.99
Company B charges 69.99 a month and .35 for additional minutes. This means that the total cost of a additional units would be
0.35x + 69.99
For the cost of the two plans to be the same, it means that
0.43x + 59.99 = 0.35x + 69.99
0.43x - 0.35x = 69.99 - 59.99
0.08x = 10
x = 125
Answer:
I'll list the answers as coordinates (just input the second number in each coordinate)
(-2, 11)
(0, 1)
(2, -9)
(4, -19)
Step-by-step explanation:
So you see how the x column is filled out? You plug in the numbers in each area and solve for y.
So we start off with -2. You take the x out and place -2 instead. Your equation should look like this:
y = -5 (-2) + 1
Next you multiply -5 and -2, giving you 10. Your equation would look like this now:
y = 10 + 1
Next you add 10 and 1 together, and you have your answer. Keep doing the same thing, but instead of -2 for x, use 0, 2, and 4.
Hope I helped! Have a nice day or night! ^-^
Answer: k=3
Step-by-step explanation:
To solve for k, you want to isolate k.
[add both sides by 8]
[multiply both sides by 5/2]
[subtract both sides by 35]
[divide both sides by 5]

Now, we know that k=3.