9514 1404 393
Answer:
y = -3x^2 -9x +30
Step-by-step explanation:
When a polynomial has a zero at x=p, it has a factor of (x -p). The factors of your quadratic are ...
f(x) = (x +5)(x -2)
At the point x=3, the value of this product is ...
f(3) = (3 +5)(3 -2) = (8)(1) = 8
In order for that value to be -24, it needs to be multiplied by a scale factor of -3. The quadratic you want is ...
y = -3(x +5)(x -2)
y = -3x^2 -9x +30 . . . . . standard form
Answer:
1
Step-by-step explanation:
1/4cake=1/3cup
Now times both sides by 4
x
=1 cake
x
=
which equals 1
Answer:
Step-by-step explanation:
This can be simplified by combing like terms.
8x^2 and 15x^2 are like terms. Since both numbers are positive, we add them together.
The sum of 8x^2 and 15x^2 is 23x^2
I hope this helps.
Answer:
Original data: 21 29 32 38 38 45 50 64 72 100
Mode =38.
Change 1: 2 29 32 38 38 45 50 64 72 100
Mode =38.
Change 2: 29 32 38 38 45 50 64 72 100
Mode =38.
Step-by-step explanation:
Original data: 21 29 32 38 38 45 50 64 72 100
The mean is calculated with the following formula:
And if we replace we got:
The mode is the most repeated value in the sample and on this case is Mode =38.
Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.
Change 1: 2 29 32 38 38 45 50 64 72 100
The mean is calculated with the following formula:
And if we replace we got:
The mode is the most repeated value in the sample and on this case is Mode =38.
Since we have an even number of points the median is calculated as the average between the observations 5 and 6 from the dataset ordered.
Change 2: 29 32 38 38 45 50 64 72 100
Now the sample size is 9 instead of 10
The mean is calculated with the following formula:
And if we replace we got:
The mode is the most repeated value in the sample and on this case is Mode =38.
Since we have odd number of points the median is calculated from the 5 position of the dataset ordered.