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mrs_skeptik [129]
2 years ago
8

Solve the system 8x + 2y = -3, 3x - 2y = 8

Mathematics
1 answer:
choli [55]2 years ago
3 0

Answer:

x = 0.455   y = -3.318

Step-by-step explanation:

I graphed both of the equations on the graph below.

If this answer is correct, please make me Brainliest!

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A TV has a listed price of $579.95 before tax. If the sales tax rate is 7.75%, find the total cost of the TV with sales tax incl
kkurt [141]

To find the sales tax multiply the purchase price by the sales tax rate. Remember to convert the sales tax rate from a percent to a decimal number. Once the sales tax is calculated, it is added to the purchase price. The result is the total cost—this is what the customer pays.

6 0
2 years ago
In triangle ABC segment DE is parallel to the side AC. (The endpoints of segment DE lie on the sides AB and BC respectively).
ivanzaharov [21]

Answer:

6 dm

Step-by-step explanation:

Triangle DBE is similar to triangle ABC, so their side lengths are proportional.

DE/AC = DB/AB

The length of DB can be found from ...

DB +AD = AB

DB = AB -AD = (15 -10) dm = 5 dm

So, we can fill in the proportion:

DE/(18 dm) = (5 dm)/(15 dm)

DE = (18 dm)·(1/3) . . . . . . . . . . simplify, multiply by 18 dm

DE = 6 dm

_____

It can be helpful to draw and label a figure.

5 0
2 years ago
Megan uses cup of almonds to make 4 cups of trail mix. Using this
djverab [1.8K]
Answer:
2 1/4 cups

Step by step:
First we can set up a ratio (1:4). Then we can divide both by 4 to find how many cups of almonds per cup of trail mix. We get 0.25:1. Multiply both by 9, and there’s the answer (2.25:9).

Hope this helped <3
6 0
2 years ago
Problem 1: Use the Laplace Transforms to solve:
Leokris [45]

Transforming the ODE yields

L\left\{y'' - y'\right\} = L\left\{e^{-3t}\right\}

(s^2 Y(s) - sy(0) - y'(0)) - (s Y(s) - y(0)) = \dfrac1{s+3}

(s^2 - s) Y(s) = \dfrac1{s+3}

Y(s) = \dfrac1{(s^2 - s)(s+3)} = \dfrac1{s(s-1)(s+3)}

Partial fractions:

Y(s) = \dfrac as + \dfrac b{s-1} + \dfrac c{s+3}

\implies 1 = a(s-1)(s+3) + b s(s+3) + c s(s - 1)

\implies 1 = -3 a + (2 a + 3 b - c) s + (a + b + c) s^2

\implies \begin{cases}-3a=1 \\ 2a+3b-c=0 \\ a+b+c=0\end{cases} \implies a=-\dfrac13, b=\dfrac14, c=\dfrac1{12}

\implies Y(s) = -\dfrac13 \times \dfrac1s + \dfrac14 \times \dfrac1{s-1} + \dfrac1{12} \times \dfrac1{s+3}

Take the inverse transform:

\boxed{y(t) = -\dfrac13 + \dfrac{e^t}4 + \dfrac{e^{-3t}}{12}}

3 0
2 years ago
$52 sweater on sale for $31.20 find the percent of discount or markup
shtirl [24]
A=pw-31.20=52p- which equals 0.6 or 60% but then you subtract that from 100% to get 40% discount
8 0
3 years ago
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