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3 years ago

HELP⚠️Which equation represents the line that passes through the points (-3, 7) and (9, -1)?

Mathematics

2 answers:

Alborosie3 years ago

6 0

Answer:

-2/3x+5

Step-by-step explanation:

Goryan [66]3 years ago

5 0

Answer:

y=2/3x-7

Step-by-step explanation:

The slope is 2/3 put it in point slope, simplify it then you get it in slope intercept form.

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Kamal wrote the augmented matrix below to represent a system of equations.

Sergio039 [100]

Answer:

$\left[\begin{array}{cccc}1&0&1&|-1\\-3&-9&3&|27\\3&2&0&|-2\end{array}\right]$

Step-by-step explanation:

Given [Missing from the question]

$\left[\begin{array}{cccc}1&0&1&|-1\\1&3&-1&|-9\\3&2&0&|-2\end{array}\right]$

Required

$R_2 \to -3R_2$

This implies that, we form a new matrix where the second row of the new matrix is a product of -3 and the second row of the previous matrix.

So, we have:

$Initial =\left[\begin{array}{cccc}1&0&1&|-1\\1&3&-1&|-9\\3&2&0&|-2\end{array}\right]$

$New =\left[\begin{array}{cccc}1&0&1&|-1\\-3*1&-3*3&-3*-1&|-3*-9\\3&2&0&|-2\end{array}\right]$

$New =\left[\begin{array}{cccc}1&0&1&|-1\\-3&-9&3&|27\\3&2&0&|-2\end{array}\right]$

7 0

3 years ago

Read 2 more answers

According to the Rational Root Theorem, what are all the potential rational roots of f(x) = 9x^4 – 2x^2 – 3x + 4?

julia-pushkina [17]

Answer: $\pm1,\frac{\pm1}{3},\frac{\pm1}{9},\pm2,\frac{\pm2}{3},\frac{\pm2}{9},\pm4,\frac{\pm4}{3},\frac{\pm4}{9}$

Step-by-step explanation:

The rational theorem states that if f(x) has integer coefficients and $\frac{p}{q}$ is a rational zero, then q is the factor of leading coefficient and p is the factor of constant term.

Given polynomial= $9x^4-2x^2-3x+4$

Now, Factors of leading coefficient q= $\pm9,\pm3,\pm1$

factors of constant term p= $\pm4,\pm2,\pm1$

according to rational root theorem the rational roots are in the form

$\frac{p}{q}=\pm1,\frac{\pm1}{3},\frac{\pm1}{9},\pm2,\frac{\pm2}{3},\frac{\pm2}{9},\pm4,\frac{\pm4}{3},\frac{\pm4}{9}$

5 0

4 years ago

Read 2 more answers

Simplify the expression c^-6 * d^4/ c^-16 * d^14

Naily [24]

Answer:

$\dfrac{c^{10}}{d^{10}}$

Step-by-step explanation:

Although the way you wrote problem, this is not what it looks like, I think this is what you meant.

$\dfrac{c^{-6} \times d^{4}}{c^{-16} \times d^{14}} =$

$= \dfrac{c^{-6}}{c^{-16}} \times \dfrac{d^{4}}{d^{14}}$

$= c^{-6 - (-16)} \times d^{4 - 14}$

$= c^{-6 + 16} \times d^{-10}$

$= c^{10} \times d^{-10}$

$= \dfrac{c^{10}}{d^{10}}$

7 0

3 years ago

Rob Herndon, an accountant with Southwest Airlines, wants to retire 50% of

valina [46]

To achieve his goal of paying off $430,000 in 10 years, Rob Herndon needs to make $34,186.97 at 5% compounded annually.

<h3>What is a future value?</h3>

A future value refers to a value on a future date based on an assumed growth rate of interest over time.

The future value can be determined using the FV formula or table.

We can also compute the future value using an online finance calculator as follows:

<h3>Data and Calculations:</h3>

N (# of periods) = 10 years

I/Y (Interest per year) = 5%

PV (Present Value) = $0

FV (Future Value) = $430,000

<u>Results:</u>

PMT = $34,186.97

Sum of all periodic payments = $341,869.70

Total Interest= $88,130.30

Thus, for Rob Herndon to achieve his goal of paying off $430,000 in 10 years, he needs to make $34,186.97 at 5% compounded annually.

Learn more about Calculating Future Values at brainly.com/question/24703884

#SPJ1

7 0

2 years ago

2x < 15<br> Help me please idk the answer

jok3333 [9.3K]

Answer:

2x<15

x<15/2

x<7.5

Hope this will help u

6 0

3 years ago

Read 2 more answers