Which ordered pairs are on the line 3x−4y=9 ? Select each correct answer.

Mathematics

1 answer:

Sergeu [11.5K]2 years ago

6 0

$\displaystyle\\a)~~~3\cdot\left(\frac{2}{3}\right)-4\cdot\left(-\frac{7}{4}\right)=\frac{3\cdot2}{3}+\frac{4\cdot7}{4}=2+7=9~~~\text{(Correct)}\\\\\\b)~~~3\cdot\left(-5\right)-4\cdot\left(-6\right)=-15+24=9~~~\text{(Correct)}\\\\\\c)~~~3\cdot\left(1\right)-4\cdot\left(-\frac{3}{2}\right)=3+\frac{4\cdot3}{2}=3+2\cdot3=3+6=9~~~\text{(Correct)}\\\\\\d)~~~3\cdot\left(-1\right)-4\cdot\left(3\right)=3-12=-9~~~\text{(Wrong)}$

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I have been stuck on number 10 (this problem) for a while now. Can anyone help me with it and walk me through every step in orde

kotykmax [81]

When you multiply a same number but with different powers, you can simply add the powers together. So, in your question, add the powers -1 and -7 together.
7^(-1) x 7^(-7) = 7^(-8)

When you divide a same number but with different powers, you subtract the power at the top with the power from the denominator. So, -8 - (-7) = -1.
7^(-8) / 7^(-7) = 7^(-1)

So your answer would be 7^(-1).
Hopefully my explanation was clear?

5 0

3 years ago

Read 2 more answers

Find the Exponential Regression using the table. Write the initial amount, common ratio, and equation for the table.

Ipatiy [6.2K]

Answer:

Initial amount;

2110.6

Common ratio;

0.0201

Equation;

$y=2110.6e^{0.0201x}$

Step-by-step explanation:

In this scenario, the month represents the independent variable x while the membership amount represents the dependent variable y.

The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.

The Ms. Excel output is shown in the attachment below. To obtain the initial amount we substitute x = 0 in the equation. On the other hand, the common ratio is the exponent in the equation.