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3 years ago

5

Alegebraic Expressions and the order of operations

1 answer:

Butoxors [25]3 years ago

5 0

Answer:

PEMDAS:

Parenthesis

Exponents

Multiplication(from left to right)

Division(from left to right)

Addition(from left to right)

Subtraction(from left to right)

Step-by-step explanation:

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Help with this math question

tresset_1 [31]

The given inequality is:

$|-8x+24| \leq 16$

This inequality can be divided in two parts as:

a) $-16 \leq -8x +24$
b) $-8x + 24 \leq 16$

Solving part a:

$-16 \leq -8x+24 \\ \\ 
-40 \leq -8x \\ \\ 
5 \geq x \\ 
or \\ 
x \leq 5$

Solving part b:

$-8x+24 \leq 16 \\ \\ 
-8x \leq -8 \\ \\ 
x \geq 1$

Therefore, the solution to the given inequality is $x \leq 5$ and $x \geq 1$ . Combining both the ranges we get the solution: $1 \leq x \leq 5$ .

In interval notation, this solution can be expressed as [1,5]

3 0

3 years ago

Read 2 more answers

-2x^2+4x-1 from 6x^2+3x-9

kirza4 [7]

Answer:

$8{x}^{2} - x - 8$

Step-by-step explanation:

We want to subtract

$- 2 {x}^{2} + 4x - 1$

from

$6 {x}^{2} + 3x - 9$

We set up the subtracttion problem to get:

$6 {x}^{2} + 3x - 9 - ( - 2 {x}^{2} + 4x - 1)$

We expand the parenthesis to get:

$6 {x}^{2} + 3x - 9 + 2 {x}^{2} - 4x + 1$

Group similar terms:

$6 {x}^{2} + 2 {x}^{2} + 3x- 4x + 1 - 9$

We simplify to get:

$8{x}^{2} - x - 8$

4 0

3 years ago

On a fruit farm 1/3 of the trees are apple trees and 1/5 are lemon trees. The rest are fig trees. There are 90 trees in all.

Vaselesa [24]

Answer:

I'm not sure what the question was but I've worked out all the three types of trees

Step-by-step explanation:

⅓ + ⅕ = 8/15 because:

×5 ×3

5/15 + 3/15 = 8/15

therefore 7/15 is fig trees

90÷15 =6

6×5 = 30 apple trees

6×3 = 18 lemon trees

6×7 = 42 fig trees

7 0

3 years ago

What is value of m in the equation 3 (2x - 4) = x +3

Mama L [17]

Step-by-step explanation:

6x-12=x+3

6x-x=3+12

5x=15

x=15/5

x=3

8 0

2 years ago

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The number 78 is divisible by 2 and 3.<br><br> True<br> False

vladimir1956 [14]

True, the number 78 is divisible by both 2 and 3.

78/2 = 39

78/3 = 26

4 0

3 years ago

Read 2 more answers