Using the distributive property to find the product (y — 4)(y2 + 4y + 16) results in a polynomial of the form y3 + 4y2 + ay – 4y2 – ay – 64. What is the value of a in the polynomial?
Answers
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
Related Questions
If: 2=6, 3=12, 4=20, 5=30, 6=42, 9=??
Which number is irrational? A. 3/8 B. 56/8 to the fourth C. 36 to the fourth over 4 to the fourth D. 0.19 repeating
What percent of 50 is 15?A. 4%B. 25%C. 30%D. 15%
What is the answer to 5×5
B. 4
C. -3 is equal to x <-1
D. -1 is equal to x <1
E. 0
F. 1 is equal to x<3
G. -2 is equal to x<5
H. -3 is equal to x<3
I. 3
Answers
The piece-wise function is defined by:
A piece-wise function is a function that has different definitions, based on the input.
In this graph:
- When x is between -3(inclusive, closed circle) and -1(exclusive, open circle), the value is 1, thus, the first definition is:
- When x is between -1(inclusive) and 1(exclusive), the value is 2, thus, the second definition is:
- When x is between 1(inclusive) and 3(exclusive), the value is 3, thus, the third definition is:
A similar problem is given at brainly.com/question/13205719
Final answer:
A piecewise function is defined by multiple sub-functions, each applying to a certain interval of the main function's domain. An example might be ' -3 is equal to x <-1', representing a portion of the function where any x-value less than -1 outputs -3.
Explanation:
Without the piecewise function graph, it's difficult to identify the correct algebraic definition. However, a piecewise function is a function which is defined by multiple sub functions. Each sub function applies to a certain interval of the main function's domain, which is why we see conditions like 'x < -1' following the function.
For instance, if we look at option C ' -3 is equal to x <-1', it suggests there is a piece of the function where any x-value less than -1 will output -3. It is important to note that these piecewise functions are visualized on a graph, often appearing as lines or curves that start or stop at certain points.
Learn more about Piecewise Functions here:
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Answers
The values are:
- for the black chip : x₁ = 2
- for the red chip: x₂ = -1
Let's first calculate the possibilities of each chip. There are in total 5 chips (two black chips and three red chips) in the bag
- the possibility to draw the black chip is 2 out of 5: P₁ = 2/5
- the possibility to draw the red chip is 3 out of 5: P₂ = 3/5
In this example we have 4 different events:
1. Drawing of two black chips: P₃ = P₁ · P₁ = 2/5 · 2/5 = 4/25
2. Drawing of one black chip and then one red chip: P₄ = P₁ · P₂ = 2/5 · 3/5 = 6/25
3. Drawing of one red chip and then one black chip: P₅ = P₂ · P₁ = 3/5 · 2/5 = 6/25
5. Drawing of two black chips: P₆ = P₂ · P₂ = 3/5 · 3/5 = 9/25
Therefore, the expected value for each round if there are two draws per round and the chips are replaced after each draw is 0.4:
P = (x₁ + x₁) · P₃ + (x₁ + x₂) · P₄ + (x₁ + x₂) · P₅ + (x₂ + x₂) · P₆
P = (2+2) · 4/25 + (2-1) · 6/25 + (2-1) · 6/25 + (-1 + -1) · 9/25
P = 4 · 4/25 + 1 · 6/25 + 1 · 6/25 + -2 · 9/25
P = 16/25 + 6/25 + 6/25 - 18/25
P = 28/25 - 18/25
P = 10/25 = 0.4
Answer:
0.4 is correct
Step-by-step explanation:
Answers
If you start with 1 cheerleader in row A, then you'll have 3 cheerleaders in row B (add on 2), and then 5 cheerleaders for row C (add on another 2), etc etc.
Note how: 1+3+5 = 4+5 = 9 which is a perfect square. Also note that 36 is a perfect square.
Rule: The sum of the first positive n odd numbers is going to be equal to n^2. In the example of adding the first three odd numbers (1,3,5), we have n^2 = 3^2 = 9 as the sum
So as you can see, we'll have n = 6 rows because n^2 = 6^2 = 36 and
1+3+5+7+9+11 = 36
which is the sum of the first six positive odd numbers. So we'll have 1 cheerleader in row A, 3 in row B, 5 in row C, 7 in row D, 9 in row E, 11 in row F to have 6 rows total.
Final answer:
To determine the number of rows in the triangular formation, set up an equation and solve for x. The number of rows is 6.
Explanation:
To determine the number of rows in the triangular formation, we can set up a series of equations.
Let x be the number of rows.
The first row will have 1 cheerleader, the second row will have 3 cheerleaders, the third row will have 5 cheerleaders, and so on.
We can set up the equation: 1 + 3 + 5 + ... + (2x-1) = 36.
This is the sum of an arithmetic sequence with a common difference of 2. Solving for x, we get x = 6.
Therefore, there will be 6 rows in the formation.
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Answers
4/5 = 56/x
cross multiply
4x = 280
x = 280/4
x = 70 months = 5 yrs and 10 months
4+5=9
4/5 * X=56
x=280/4=70
therefore to find archana's age
5/9*70=39 months=3 years and 3 months
B.-10
C.-11
D.-12
Answers
Answer:
D. -12
Step-by-step explanation:
if f=4x-9, and g=2x-3, and the value is (f+g), then we have to add the equations. This is equal to 6x-12. And then, in '(f+g)(0)', it is asking what is the y-value at x=0. Plug in 0 into the equation, and the y-value equals -12.
Answers
Answer:
$87.50
Step-by-step explanation:
With this amount of detail we can see that she has saved 17.5 in 3 weeks. We need to find how much in 15 weeks so we...
15/3=5
17.5*5=87.50