Which is a factor of x2 5x − 24? (x − 6) (x 6) (x − 8) (x 8)
Answers
The factor of the polynomial expression x² + 5x − 24 are (x + 8) and (x - 3) option (D) (x + 8) is correct.
What is a quadratic equation ?
Any equation of the form where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.
As we know, the formula for the roots of the quadratic equation is given by:
The question is incomplete.
The complete question is:
Which is a factor of x² + 5x − 24?
- (x − 6)
- (x + 6)
- (x − 8)
- (x + 8)
We have a quadratic polynomial:
= x² + 5x − 24
To find the factors of the above polynomial we can use the factor method:
= x² + 8x - 3x − 24
= x(x + 8) - 3(x + 8)
= (x + 8)(x - 3)
The factor of the polynomial expression x² + 5x − 24 is (x + 8) and (x - 3).
Thus, the factor of the polynomial expression x² + 5x − 24 are (x + 8) and (x - 3) option (D) (x + 8) is correct.
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8 and -3
so (x + 8)(x - 3) are its factors.
The answer would be (x + 8)
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Write a recursive formula for each sequence given or described below.It has an explicit formula of f(n) = −3n + 2 for n ≥ 1.
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Answer:
P x 87 + 67 x 87 + (33 - P) x 87=8700
Step-by-step explanation:
explanation in pdf
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The number of ways to schedule their appearances is 362880
How to determine the number of ways to schedule their appearances?
The number of performers is given as:
n= 9
Assume that the performers can only perform one after the other;
The number of ways their appearances can be scheduled is:
Ways = 9!
Expand
Ways = 9 * 8 * 7 * ... * 1
Evaluate
Ways = 362880
Hence, the number of ways to schedule their appearances is 362880
Read more about factorials at:
For the first act, there are 9 possible performers we can pick
For the second act, because we have already assigned a performer to the first act, there are only 8 possible performers
For the third act, because we have already assigned a performer to the first two acts, there are only 7 possible performers
This goes on and on until we reach the final act, where we have used all the performers except one.
Therefore we can say:
For the first act there are 9 possibilities
For the second act there are 8 possibilities
For the third act there are 7 possibilities
For the fourth act there are 6 possibilities and so on
If we want to write this mathematically we can just say that there are:
9 possibilities x 8 possibilites x 7 possibilities etc right down until we are at the final act where there is 1 possibility.
To write this out as an equation we just say:
9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 = the number of different ways
In maths however, we have a much simpler way of saying this, which we call "factorial".
That whole stream of numbers up there can just be said to be "9 factorial", or if we are writing it in an equation "9!". You may find that your calculator has a button which has an "!" on it. If you put in the number of performers and then press the "!" button, it will give you the answer to your question.
Hope this helped you :)
Simplify this expression. Use 7 as the base.
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Make sure there are NO SPACES in your answer. Be sure to include a comma.
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anyway
use elimination
multiply secn equation by -1
-3x-2y=-6
add to other equation
-3x-2y=-6
4x+2y=10 +
1x+0y=4
x=4
sub back to solve for y
3x+2y=6
3(4)+2y=6
12+2y=6
minus 12 both sides
2y=-6
divide 2
y=-3
(4,-3)
Answers
Answer:
The given expression can easily be solved by using Distributive Laws of multiplication over addition.
Step-by-step explanation:
The given expression is : 4 x 275
Now, 275 can be expressed as sum of 200 + 75 + 5
So, the given expression 4 x 275 changes to 4 x (200 + 70 + 5)
The above expression can easily be solved by using the distributive law of multiplication over addition.
So, now distributing the multiplication over addition. We get,
4 x 275 = 4 x (200 + 70 + 5)
= 4 × 200 + 4 × 70 + 4 × 5
= 800 + 280 + 20
= 1100
Using the distributive property, 4 multiplied by 275 can be mentally calculated as 1100.
To find the product of 4 multiplied by 275 using mental math and properties of numbers, we use the distributive property and break down the numbers into more manageable parts.
First, we split 275 into 200 and 75. Then, we apply the distributive property by multiplying 4 by each part separately:
⇒ 4 × 275 = 4 × (200 + 75),
Using the distributive property:
⇒ (4 × 200) + (4 × 75),
Calculating mentally:
⇒ 800 + 300,
⇒ 1100,
By breaking down numbers into easier-to-manage parts and applying distributive property, we can mentally calculate that 4 multiplied by 275 equals 1100.
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