consider the function f(x) = x2 2x – 15. what are the x-intercepts of the function? left-most x-intercept: ( , 0) right-most x-intercept: ( , 0)
Answers
(x - 3)(x + 5) = 0
x = 3 or x = -5
left-most x-intercept: (-5, 0)
right-most x-intercept: (3, 0)
Final answer:
To find the x-intercepts of the quadratic function f(x) = x^2 + 2x - 15, we factor the equation to (x + 5)(x - 3) = 0, resulting in x-intercepts at (-5, 0) and (3, 0).
Explanation:
The student is asking how to find the x-intercepts of the quadratic function f(x) = x2 + 2x - 15. An x-intercept is a point where the graph of the function crosses the x-axis, which occurs when f(x) = 0. To find the x-intercepts, we need to solve the quadratic equation x2 + 2x - 15 = 0. This can be done by factoring the quadratic, applying the quadratic formula, or completing the square. In this case, the equation factors to (x + 5)(x - 3) = 0, which gives the solutions x = -5 and x = 3. Therefore, the left-most x-intercept is (-5, 0), and the right-most x-intercept is (3, 0).
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The number of bracelets that Nancy must sell in a month to make a profit is approximately 148.
Given that:
Nancy sells handcrafted bracelets at a flea market for $6.
The monthly fixed cost is $625 and each bracelet costs $1.75 to make.
Let n be the total number of bracelets that Nancy sells in a month.
The selling price of a bracelet = $6
Then, the selling price of n bracelets = 6n
Total revenues = 6n
Monthly fixed cost = $625
Additional cost for each bracelet = $1.75
Additional cost for n bracelets in a month = 1.75n
Total cost = 625 + 1.75n
In order to have profit, the total revenues minus the total cost must be positive.
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Add 625 on both sides,
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Divide both sides by 4.25,
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Hence, the number of bracelets that Nancy has to sell to make a profit is 148.
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To write a fraction, use a slash (/) to separate the numerator and denominator.
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Answer:
Using proportions, it is found that the cost of each of the favors is of $5.
Proportions:
This question is solved by proportions, using a rule of three.
The addition of 8 favors increase the cost of the party by $40. What is the cost of one favor?
The rule of three is:
8 favors - $40
1 favor - $x
Applying cross multiplication:
8x=40
x=40/8
x=5
The cost of each of the favors is of $5.
To learn more about proportions, you can take a look at brainly.com/question/24372153
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4
Answers
Answer:
-4
Step-by-step explanation:
The number inside of the ( ) for a log must be greater than 0.
Answers
Answer:
The answer is 1872 cookies.
Step-by-step explanation:
First we know that in one year there are 52.18 weeks or 52 weeks. You take that number of weeks and multiply it by 36.
If you multiply 36 by 52 you get 1872 cookies.
Or, if you multiply 52.18 by 36 you get 1878.48
At how many miles will they both need replacing at the same time?
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Answers
10,000|2
5,000|2
2,500|2
1,250|2
625|5
125|5
25|5
5|5
1
24,000|2
12,000|2
6,000|2
3,000|2
1,500|2
750|2
375|3
125|5
25|5
5|5
1