Answer:
E, 3.
Step-by-step explanation:
Since both f(x) and g[f(x)] are quadratic polynomials, g(x) must also be a linear polynomial.
Let g(x) = Ax + B, where A and B are constants to be determined.
Then we have A[2x² - 3x + 1] + B ≡ x² - (3/2)x + 3.
=> A = 1/2 and B = 5/2.
Hence, f[g(-1)] = f[(1/2)(-1) + (5/2)] = f(2) = 2(2)² - 3(2) + 1 = 3. (E)
Answer:
16
Step-by-step explanation:
Since this is a multiplication of the square of (y+4) by (y-4) the value of Y will be eliminated in the product, if you want to assure this you just need to do the multiplication, and to do so we just need to multiply feach factor in the binomial by the polynomial:
So now we know that the value for the Y is 16.
(y - 4)(y² + 4y + 16)
y³ + 4y² + 16y - 4y² -16y - 64
y³ + 4y² + ay - 4y² - ay - 64
a = 16
Answer:
10a^2 - 19a + 7
Step-by-step explanation:
Use the FOIL method to multiply these binomals together. We get:
10a^2 - 14a - 5a + 7.
Combining the 'a' terms, we get
10a^2 - 19a + 7
The difference in payments for the apartment for the whole year will be $1356.
An annual contract is a contract where the contract is established on the basis of payment for the whole year.
A month to monthcontract is a contract where the contract is established on the basis of payment for every single month.
Given, the annual contract of the apartment is $502.00/month.
Therefore, for the whole year, the rent will be $502.00 × 12 = $6024.00
Again, the month to month contract is $615.00/month.
Therefore, for the whole year, the rent will be $615.00 × 12 = $7380.00
As we are calculating the rent for an year, there will not be any penalty.
Hence, the difference in payments = $(7380.00 - 6024.00) =$1356.00
Learn more about annual and month to month contract here: brainly.com/question/1393028
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Your parents are renting an apartment for you when you go away to college. An annual contract is $502.00/month with a 2-month penalty if you break the lease. The month-to-month contract is $615.00/month. How much is the difference in payments if you stay the whole year?
$1,356.00
However, lets say you leave after 6 months. How much is the difference in the amount paid between the two contracts?
$326.00
Step-by-step explanation:
I just took the test :)
Answer:
y = -0.5x + 6, Domain [0,12] and Range [0, 6]
Step-by-step explanation:
The slope in a linear function represents the rate of change. Since the amount of snow is decreasing (indicating a negative slope) at 0.5 inches an hour, our slope would be -0.5.
Our y intercept, 6, would be the starting amount of snow. At 0 hours, no snow has been melted.
Our domain is [0,12] these are the x values from where at zero there is 6 inches of snow and at 12 there is 0 inches of snow.
Finally, our range is [0,6]. Since there cannot be no more than 6 or less than 0 inches of snow, our range is [0,6]
Hope this helped!