Pre-calc
x - 3 is a factor of P(x) = x^3 – 7x² +15x-9
A. True
B. False
Answers
Explanation-
Let p(x) = x^3 – 7x^2 – 15x – 9
For checking that (x – 3) is a factor of p(x), we find : p(3)
p(3) = (3)^3 – 7(3)^2 + 15(3) – 9
= 27 – 63 + 45 – 9
= 72 – 72
= 0
Hence, (x – 3) is a factor of p(x).
By division of p(x) by x – 3, we get the quotient
= x^2 – 4x + 3
∴ x^3 – 7x^2 + 15x – 9
= (x – 3)(x^2 – 4x + 3)
= (x – 3)(x – 3)(x – 1)
= (x – 3)^2(x – 1)
Related Questions
What is the value of |–46| ?A. –46 B. 46
Solve the following system of equations for all three variables.5x−2y+z = 8 −9x+2y+2z = 5 −9x−2y−5z = 4
solve for y.try factoring first,if factoring is not possible or difficult use quadratic formula,(y2 2isabovey -10y+23=0)
What is 8% expressed as a fraction in it's simplest form?
Answers
6 squared divided by 2(3) plus 4 is equal to 10.
To evaluate the expression 6 squared divided by 2(3) plus 4, follow the order of operations (PEMDAS/BODMAS) which stands for Parentheses/Brackets, Exponents/Orders, Multiplication and Division (from left to right), and Addition and Subtraction (from left to right):
Here, from the given expression, we get,
6 squared means 6 raised to the power of 2,
which is
Perform the multiplication inside the parentheses.
2(3) means 2 times 3,
which is 2 * 3 = 6.
Now, the expression becomes:
36 ÷ 6 + 4 [Perform the division]
=>36 ÷ 6 = 6 [Perform the addition]
=> 6 + 4 = 10
The final result is 10.
So, 6 squared divided by 2(3) plus 4 is equal to 10.
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6²=36
2(3)=6
So now we have
36/6 + 4 which is 6 + 4 which is 10.
Answers
Total cost of the meal will be $17.64.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
The cost of meal and a beverage = $14
The tip = 20%
The sales tax = 6%
Now,
Since, The cost of meal and a beverage = $14
Hence, The cost for tip = 20% of 14
= 20/100 x 14
= $2.8
And, The cost for sales tax = 6% of 14
= 6/100 x 14
= $0.84
Thus, Total cost of the meal = $14 + $2.8 + $0.84
= $17.64
Therefore, Total cost of the meal will be $17.64.
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Cost * Sales Tax * Tip=
14 * (14 * 0.2) * (14 * 0.06) =
$17.81 (Rounded to the nearest cent)
Answers
Answer:
45x + 50y = 2500
50 pairs of shoes need to be sold.
45x+50y=2500
Answers
From the given question we come to know that
t = -2
Then
n = 1.76t^2 - 13.32t + 41.00
= [1.76 * (-2)^2] - [13.32 * (-2) + 41
= 7.04 - ( - 26.64) + 41
= 7.04 + 26.64 + 41
= 74.68
= 75
From the above deduction, we can conclude that the correct option among all the options that are given in the question is the second option or option "B".
Answer:
b. 75 days
Step-by-step explanation:
Answers
Answers
You would need to buy at least 3 packages of buns to match the 4 packages of patties.
How many packages of buns do we need to buy?
To solve this problem, we need to find the least common multiple (LCM) of the number of patties and the number of buns per package. This LCM will ensure that we have an equal number of patties and buns without any leftovers.
Given that there are 6 patties per package and 8 buns per package, we can find the LCM of 6 and 8.
The prime factorization of 6 is 2 x 3, and the prime factorization of 8 is 2 x 2 x 2. To find the LCM, we take the highest power of each prime factor that appears in either number: 2³ x 3 = 24.
So, we need 24 patties and 24 buns to have an equal number of both without any leftovers. Since each package contains 6 patties and each package contains 8 buns, we can divide the total number of patties and buns needed by the number in each package: 24 / 6 = 4 packages of patties and 24 / 8 = 3 packages of buns.
Therefore, you would need to buy at least 3 packages of buns to match the 4 packages of patties and ensure that you have exactly one patty for each bun.
Read more about buns here: brainly.com/question/148081
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