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poizon [28]
3 years ago
9

Solve by substitution 3x-4y=-4 y=2x-4

Mathematics
1 answer:
dybincka [34]3 years ago
7 0

Answer:

x=4 and y=4

Step-by-step explanation:

From first function we have:

3x - 4y =  - 4 \\ 4y = 3x  + 4

And from the second one:

y = 2x - 4 \\ 4y = 8x - 16

Substitute them:

4y = 3x + 4 \\ 4y = 8x - 16 \\  \\ 0 =  - 5x + 20 \\ x = 4 \\ y = 4

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Multiply 3i(−1 + 2i). What is the simplified version written in standard form, a + bi, where a and b are real numbers?
Sholpan [36]
3i (- 1 + 2i)     Remove the brackets.
3i (-1) + (2i)(3i) Look at the first set of brackets around the -1
-3i + 6i^2     But i^2 = - 1[ I hope that's the way you are using it]
-3i - 6 or -6 - 3i or -3(2 - i) <<<<< answer
4 0
4 years ago
Home Videos Inc. surveys 450 households and finds that the mean amount spent for renting or buying videos is P135 a month and th
adell [148]

SOLUTION:

Case: Hypothesis testing

Step 1: Null and Alternative hypotheses

\begin{gathered} H_0:\mu=P127.50 \\ H_1:\mu\leq P127.50 \end{gathered}

Step 2: T-test analysis

\begin{gathered} t=\frac{\hat{x}-\mu}{\frac{s}{\sqrt{n}}} \\ t=\frac{135-127.5}{\frac{75.25}{\sqrt{450}}} \\ t=2.144 \end{gathered}

Step 3: t-test with the significance level

\begin{gathered} t_{\alpha}=? \\ \alpha=0.05 \\ From\text{ }tables \\ t_{0.05}=1.654 \end{gathered}

Step 4: Comparing

t>t_{\alpha}

So tail to reject the null hypothesis. There is enough evidence at a 0.05 level of significance to claim that the mean spent is greater than P127.50.

Final answer:

Yes, there is evidence sufficient to conclude that the mean amount spent is greater than P127.50 per month at a 0.05 level of significance.

6 0
1 year ago
Sharon jarred 18 liters of jam after 9 days. How many days does Sharon need to spend making jam if she wants to jar 20 liters of
solong [7]

Answer:

40

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
What is 3 4/5 times 2 1/3 ?<br> Your answer
Mazyrski [523]
The answer to this question is 8.86666666667
3 0
4 years ago
21 Last year Chelsea and Sonya took 236 pictures during Thanksgiving. This year Chelsea and Sonya each took the same amount of p
Leokris [45]

Let 'c' represent the number of pictures Chelsea took.

Let 's' represent the number of pictures Sonya took.

For last year's Thanksgiving, c + s = 236

For this year's Thanksgiving, let 'x' represent the number of photos taken in total. x = c + s, where c and s are two integers that are the same (c = s).

And we know that for both years, c + s + x = 500.

As we know that c + s is already 236 from last year, we can remove c + s from the equation in bold and replace it with 236 instead.

236 + x = 500.

Now we have to isolate the x term.

x = 500 - 236

x = 264.

We know that x = c + s, where c and s are the same, so we can just use one of the variables and double it (so you either get 2c or 2s - it doesn't matter which one you pick because they're both the same).

2c = 264

c = 132

c = s

s = 132.

Both took 132 pictures this year.

4 0
3 years ago
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