Find the product.
x 3(x 2 + 5x + 1)
Answers
The required product of expression x³(x² + 5x + 1) is x⁵ + 5x⁴ + x³.
What is the distributive property of a product?
The distributive property of multiplication (also known as the distributive property of product over addition) is a fundamental property of arithmetic that helps simplifyexpressions involving multiplication and addition. It states that for any three numbers a, b, and c:
a * (b + c) = a * b + a * c
Here,
We can use the distributive property of multiplication to expand the product:
x³(x² + 5x + 1) = x³x² + x³5x + x³*1
Simplifying each term, we get:
x³x² = x³⁺² = x⁵
x³5x = 5x¹⁺3 = 5x⁴
x³*1 = x³
Setting it all together, we have:
x³(x² + 5x + 1) = x⁵ + 5x⁴ + x³
Therefore, the product is x⁵ + 5x⁴ + x³.
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x (18x+15x+3)
x(33x+3)
(33x^2)+3x
Related Questions
What is the factored form of the polynomial? x2 - 15x + 36
What is the value of x in the equation 0.3x = 12?
Zach brought two jet skis for $15,480 He will make 36 equal payments. How much will each be?
Analyze the figure shown.*label all the coordinates Part A: Determine the perimeter of the composite figure. Round to the nearest tenth, if necessary Part B: Determine the area of the composite figure. round to the nearest tenth if necessary
Answers
1 hour, 50 minutes
1 hour, 30 minutes
1 hour, 10 minutes
Answers
you may also do it like this (see picture)
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Final answer:
To subtract 2 hours, 20 minutes from 4 hours, 10 minutes, subtract the hours and minutes separately. The answer is 1 hour, 50 minutes.
Explanation:
To subtract 2 hours, 20 minutes from 4 hours, 10 minutes, you need to subtract the hours and the minutes separately.
- Start by subtracting the hours: 4 hours - 2 hours = 2 hours.
- Then subtract the minutes: 10 minutes - 20 minutes = -10 minutes.
- Since we have a negative number for the minutes, we need to borrow 1 hour from the hours, which gives us: 2 hours - 1 hour = 1 hour.
- Finally, add the remaining minutes: 60 minutes - 10 minutes = 50 minutes.
Therefore, the answer is 1 hour, 50 minutes.
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Answers
Answer:
{0}
Step-by-step explanation:
|n/6| + 1 = 1
Subtract 1 from each side
|n/6| + 1-1 = 1-1
|n/6| =0
Since this is equal to zero what is inside the absolute value must equal zero
n/6 =0
n =0
Answer:
B) {0}
Step-by-step explanation:
Let's go step by step
|n/6| + 1 = 1
First step is to subtract 1 from both sides:
|n/6| = 0
Now, we can multiply both sides by 6:
n = 0
Hope this helps :)
b. x = 4,y = 3/8
c. x = 11,y = 3/8
d. x = 4,y = 8/3
Answers
To find the value of x and y we should know the properties of the Parallelogram.
Parallelogram
A parallelogram is a quadrilateral, whose opposite sides are always parallel and equal to each other.
Given to us
- ON=5X-7,
- LM=4X+4,
- NM=X-7,
- OL=3Y-4
Solution
For the quadrilateral LMNO to be a parallelogram the opposite sides of the parallelogram must be equal to each other. Therefore,
- LM = ON, and
- OL = NM.
Equation 1
Substituting the value in equation 1,
Equation 2
Substituting the value in equation 2,
OL = NM
Substituting the value of x
Hence, the value of x and y should be 11 and for LMNO to be a parallelogram.
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5x-7 = 4x+4 solve for x
substitute x in (x-7) to get 11-7
3y-4 = 11-7 solve for y
Answers
Then divide ➡️. 36 divided by 12 is =3 so the answer is 3
Answers
L^2 + W^2 = 15^2
L^2 + W^2 = 225
L^2 + W^2 = 225
(W+3)^2 + W^2 = 225
W^2 + 6W + 9 + W^2 = 225
2 W^2 + 6W = 216
2W^2 + 6W -216 = 0
W = 9
L = 12
Final answer:
The dimensions of the rectangle are determined by setting up and solving a quadratic equation using the Pythagorean theorem, based on the provided conditions; the width of the rectangle is 'w', its length is 'w + 3', and the length of the diagonal is 15 inches.
Explanation:
In this problem, we are exploring the dimensions of a rectangle. Let's represent the width of the rectangle as 'w'. Then its length, according to the problem, is 'w + 3'. Next, we will apply the Pythagorean theorem because we are told the length of the diagonal is 15. In a rectangle, the diagonal, the length, and the width form a right triangle.
Applying the Pythagorean theorem, we get: (w)^2 + (w + 3)^2 = (15)^2. Solving this quadratic equation will give us the values for w and consequently for the length.
Take into account that the unit for these measures is in inches.
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