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Kaitneedshelps
21.12.2020 •
Mathematics
12. Grace is saving up for a new car. She already has $3215 saved and plans on saving $325 each week
working at her job at the mall. She needs at least $5600 saved to purchase the car. Write and solve an
inequality to determine the minimum number of weeks she has to save to buy the car
Solved
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Ответ:
Our x-intercepts are at:
Our y-intercept is (0, -10).
Step-by-step explanation:
We have the function:
And we know that one factor is:
Since we know one factor, we can use synthetic division to find the depressed polynomial, then continue factoring to find the remaining zeros (x-intercepts).
To find the y-intercept, we can simply substitute 0 for x and evaluate. This can be done anytime.
We can apply synthetic division for a polynomial P(x) divided by a binomial in the form (x-a).
Since our factor is (x-5), a=5.
Please refer to the attachment below for the synthetic division.
So, we are left with:
The remaining factor is now a quadratic. This can be easily factored:
To find our zeros, set our function f(x) to 0:
Then by the Zero Product Property:
Hence, our x-intercepts are:
To find our y-intercept, we can substitute 0 for x and evaluate. Hence:
Evaluate:
So, our y-intercept is at (0, -10).