MATHEMATICS HIGH SCHOOL

Factor the expression: 2n³ + 22n² + 60n

Answers

Answer 1

Answer:

Answer:

2n(n + 5)(n + 6)

Step-by-step explanation:

given the expression

2n³ + 22n² + 60n ← factor out the common factor of 2n from each term

= 2n(n² + 11n + 30) ← factorise the quadratic

consider the factors of the constant term (+ 30) which sum to give the coefficient of the n- term (+ 11)

the factors are + 5 and + 6 , since

+ 5 × + 6 = + 30 and 5 + 6 = + 11

use these factors to split the n- term

n² + 5n + 6n + 30 ( factor the first/second and third/fourth terms )

= n(n + 5) + 6(n + 5) ← factor out (n + 5) from each term

= (n + 5)(n + 6)

Then

2n³ + 22n² + 60n

= 2n(n + 5)(n + 6) ← in factored form

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What is 0.3, 0.13, 0.19 and 0.31 in least to greatest?

Answers

0.13 0.19 0.3 and 0.31 just in case you didnt know 0.3 =.030

0.13 , 0.19, 0.30 & 0.31 that's the answer

State whether the equation is a linear equation in one variable or not. –2x(–2 – x) = x + 1

Answers

If you'll simplify this equation -2x(-2-x)=x+1
you'll get 4x+2x²=x+1
simplify further 2x²+3x-1
this one looks like a quadratic equation.
Thus, this is not a linear equation,

$-2x(-2 -x) = x + 1\n 4x+2x^2=x+1$

It's not linear. It's quadratic.

For each sentence below, use the drop-down menu to select a symbol that correctly indicates the relationship.Three is less than a number. 3 < x
One more than a number is at least seven. x + 1 > 7
The maximum value of a number is 29. x < 29
The difference of a number and ten is at least 91. x - 10 > 91

Answers

Answer:

$3 < x$

$x + 1 \geq 7$

$x \leq 29$

$x - 10 \geq 91$

Step-by-step explanation:

Let the unknown number be x

Three is less than a number: for less than we use < symbol

3 < a number becomes $3 < x$

One more than a number is at least seven: Number atleast 7 means 7 or more than 7. So we use ≥ 7. One more than a number is x+1

$x + 1 \geq 7$

The maximum value of a number is 29: maximum value of x is 29 , so 29 or less than 29. Use ≤ symbol

$x \leq 29$

The difference of a number and ten is at least 91: The difference of a number and 10 is x-10. For at least we use ≥ because 91 is included.

$x - 10 \geq 91$

Three is less than a number.
3 < x

One more than a number is at least seven.
x + 1 ≥ 7

The maximum value of a number is 29.
x ≤ 29

The difference of a number and ten is at least 91.
x - 10 ≥ 91

Anthony earned $131 in tips last night while working at the restaurant. If his tipsconsisted of $1 bills and $5 bills only and he counted 47 bills in total, then how
many $5 bills did Anthony receive?

Answers

Answer:21 5 dollar bills

Step-by-step explanation:

PLZZZ HELP WILL MARK BRAINLIEST What is the simplified value of the expression below?4.5-59
0.2x3-02
A) -3.5
B) -2.4
C)2.4
D)3.5

Answers

Answer:

-3.5

Step-by-step explanation:

Answer:

The answer is D

Step-by-step explanation:

The right rectangular prism is made up of 100 cubes. Each cube has edge lengths of 2 inches. What is the volume of the right rectangular prism, in cubic inches