Hello! So, for the first inequality, we have to add 10 to both sides. When you do that, 3.5x > 7. Then, you have to divide both sides by 3.5. When you do that, you get x > 2. Then, for the second inequality, you have to add 9 to both sides, then you would get 8x < 48. Divide both sides by 8 and you get x < 6. The compound inequality for this question would be 2 < x < 6.
An expression has numbers, variables, and mathematical operations. The factors of the expression 4x³+x²-8x-2 by grouping are x²(4x+1)-2(4x+1).
<h3>What is an Expression?</h3>
In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.
The factors of the expression by grouping can be done as,
Take x² as the common factor from the first two terms while -2 from the last two terms,
Thus, the factors of the expression 4x³+x²-8x-2 by grouping are x²(4x+1)-2(4x+1).
Learn more about Expression:
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Answer:
Step-by-step explanation:
The formula for simple interest is expressed as
I = PRT/100
Where
P represents the principal
R represents interest rate
T represents time in years
I = interest after t years
Considering the first account,
T = 1 year
P = $10000
R = 5%
I = (10000 × 5 × 1)/100 = $500
The total amount = 10000 + 500 = $10500
he moved the total amount to a new account earning 6% interest. Therefore,
P = 10500
R = 6%
T = 1
I = (10500 × 6 × 1)/100 = $630
The amount of money that Marty would have at the end of the second year is
630 + 10500 = $11130
