Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?x(x2 – 5) + 6(x2 – 5)
x(x2 + 5) – 6(x2 + 5)
x2(x – 5) + 6(x – 5)
x2(x + 5) – 6(x + 5)
Answers
The answer choice which shows how to determine the factors of the expression by grouping is; Choice D; x²(x + 5) – 6(x + 5)
Factorisation by grouping
The given expression is; x³ + 5x² – 6x – 30.
The expression is tetranomial, hence, by grouping into 2 terms each; we have;
- (x³+ 5x²) (– 6x – 30)
Ultimately, upon factorisation of each subunit of the expression, we have;
- x²(x+5) -6(x+5)
Read more on factorisation by grouping;
Answer:
D
Step-by-step explanation:
group them first :
( x3+5x2) and ( -6x-30)
then simply by gcf ( greatest common factor) :
x2(x+5) and -6(x+5)
and just add them together:
x2(x+5)-6(x+5)
bonus :
it can be written as (x2-6)(x+5)
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The solution to the equation is m = 400
What are equations
- Equations are used to expressed quantities that are of equal values.
- Equations are identified by the "=" sign
The equation is given as:
Rewrite the above equation as
Divide 2400 by 6
Hence, the solution to the equation is m = 400
See attachment for the bar diagram
Read more about equations at:
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Answer:
4
Step-by-step explanation:
f(-3) = 2 * (-3) + 10
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Answer:
72 is 45% of 160.I hope this helps :D
Answers
Step-by-step explanation:
If x is the kilograms of 30% chocolate, and y is the kilograms of 50% chocolate, then:
x + y = 200
0.30x + 0.50y = 0.46(200)
Solving the system of equations with substitution:
0.30x + 0.50(200 − x) = 0.46(200)
0.30x + 100 − 0.50x = 92
8 = 0.20x
x = 40
y = 200 − x
y = 160
The distributor needs 40 kg of 30% chocolate and 160 kg of 50% chocolate.
Final answer:
To obtain 200 kilograms of a 46% fat-content chocolate, the candy distributor needs to mix 40 kilograms of a 30% fat-content chocolate and 160 kilograms of a 50% fat-content chocolate.
Explanation:
This problem can be solved using a basic mixture problem method. Let's name the amount of the 30% fat-content chocolate as 'x' and the amount of the 50% fat-content chocolate as 'y'. The total weight of the resulting chocolate is provided in the problem, 200 kilograms, therefore we know that x + y = 200.
The total fat in the chocolates should be 46% of 200kg, or 92kg. This gives us another equation based on the fat content, 0.3x + 0.5y = 92.
Solving these two equations linearly, we find the values of x and y. The amount of 30% fat content chocolate (x) is 40 kilograms and the amount of 50% fat-content chocolate (y) is 160 kilograms.
Learn more about Mixture Problem here:
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Answers
Answer:
13
Step-by-step explanation:
9/(2/3) = 27/2 = 13.5
Answers
The volume of the toy box in cubic feet is 18 ft³.
What is a prism?
A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
First, we need to convert the dimensions of the box from inches to feet:
Height: 24 inches ÷ 12 inches/foot = 2 feet
Width: 36 inches ÷ 12 inches/foot = 3 feet
Length: 36 inches ÷ 12 inches/foot = 3 feet
So, the box has a height of 2 feet, a width of 3 feet, and a length of 3 feet.
To find the volume of the rectangularprism,
We multiply the height by the width by the length:
Volume = 2 feet x 3 feet x 3 feet = 18 cubic feet
Therefore,
The volume of the toy box in cubic feet is 18 ft³.
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24 in=2 ft
36 in=3 ft
V=(w)(h)(l)
V=(3)(3)(2)
V=(9)(2)
V=18 ft
Hope this helps:D Please vote Brainliest!