How to understand algebra?
1 answer:
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Answer:
$4.41
Step-by-step explanation:
We have been given that Otis bought a flashlight for $8 and a sleeping bag for $55 he sales tax was 7% which means 0.07 times the price.
To find the amount of sales tax, we will add cost of sleeping bag and flashlight and multiply the sum by 0.07.
Therefore, Otis paid an amount of $4.41 in sales tax.
The 2nd way is that we can find sales tax of each product separately and then add the amount of sales of two items as:
Therefore, Otis paid an amount of $4.41 in sales tax.
9514 1404 393
Answer:
x = -2, x = -1
Step-by-step explanation:
A graphing calculator solves this nicely, as shown in the attachment.
x = -2, x = -1
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The given equation resolves to two equations.
<u>x+3 < 0</u>
-(x +3) -1 = (x +2)^2
x^2 +5x +7 = 0
Checking the discriminant, we find ...
b^2 -4ac = (5)^2 -4(1)(7) = 25 -28 = -3
There are only complex solutions to this equation.
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<u>x+3 ≥ 0</u>
x +3 -1 = (x +2)^2
(x +2)^2 -(x +2) = 0 . . . .subtract x+2
(x +2)(x +2 -1) = 0 . . . . . factor
Solutions are values of x that make these factors zero.
x +2 = 0 ⇒ x = -2
x +1 = 0 ⇒ x = -1
<em>Domain Check</em>
x +3 = -2 +3 = 1 > 0 . . . . as required.
