Which of the following represents the zeros of f(x)=3x^3-10x^2-81x 28? Answer choices: A.) 7, -4,1/3 B.) 7,-4, -1/3 C.) 7,4,1/3 D.) 7,4,-1/3
Answers
You can realize that 7 is a root because it is in all the answers.
So you can divide the polynomial by x - 7. If you do it you can find that the quotient is 3x^2 + 11x - 4
Now you can use the quadratic formula to find the other two roots.
If you do it, you will find they are x = 1/3 and x = -4.
So the answer is option A) 7, -4, 1/3
And the polynomial can be written as (x - 7)(x + 4) (x -1/3)
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Answers
Unless the y-intercept is too hard to find, we're probably going to use slope-intercept form to accomplish this.
Slope-intercept form is written as
Step 1a) We find the slope with the change in the y-coordinates of the two points (the "rise") over the change in the x-coordinates. (the "run")
Step 1b) We can use this slope to find the y-intercept, the value of y when x = 0.
We know how y changes accordinate to changes in x by the slope.
Just take one of the points of our line, see how much x needs to change to become equal to 0, and change y accordingly.
Step 2) We can take our third point and plug in its x and y values in that equation, now that we have the equation of our line filled out. If you evaluate the equation and it is true, then the point is on that line. If it's not true for those values, the point is not on the line.
Answers
15 ÷ 4 = 3.75
Check our work:-
3.75 × 4 =15
So, to finish 1 project you have 3.75 days.
Hope I helped ya!!
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Answer:
.......
B is the answer ......
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Maisha can calculate the total cost by multiplying the total amount of paint by the price per cup, Maisha will pay $71.25 for the paint she needs.
What is multiplication?
Multiplication is an arithmetic operation in mathematics that involves combining two or more quantities to form a product. It is a way of finding the total amount or size when there are multiple equal groups or units of the same size.
Maisha needs to calculate the total cost of the paint she needs to buy for her artwork.
First, she needs to convert the units of paint to cups since the price is given in terms of cups of paint:
2 pints of blue paint = 2 x 2 x 8 = 32 cups of blue paint (1 pint = 2 cups, and 1 cup = 8 ounces)
1 1/2 quarts of orange paint = 1.5 x 4 x 2 = 12 cups of orange paint (1 quart = 4 cups, and 1 cup = 8 ounces)
1/2 cup of yellow paint = 0.5 cups of yellow paint
Now, Maisha can add up the total amount of paint she needs:
32 cups of blue paint
3 cups of green paint
12 cups of orange paint
0.5 cups of yellow paint
The total amount of paint is:
32 + 3 + 12 + 0.5 = 47.5 cups
Finally, Maisha can calculate the total cost by multiplying the total amount of paint by the price per cup:
47.5 x $1.50 = $71.25
Therefore, Maisha will pay $71.25 for the paint she needs.
To learn more about multiplication visit:
#SPJ1
Answers
Let's start with the smallest prime number 2
60/2 = 30
Divide that result over 2
30/2 = 15
We can't divide this by 2 because 15/2 = 7.5 isn't a whole number
Let's move onto 3
15/3 = 5
The result is a prime number, so we stop.
The values we divided as denominators were: {2, 2, 3}
We add the result 5 to the set to completely list all of the prime factors of 60
The prime factorization would be
60 = 2*2*3*5
which is the same as saying
60 = 2^2*3*5
Answers
3 + 5 = 8
3² + 5² = 9 + 25 = 34 .