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3 years ago

Determine the intercepts of the line

Mathematics

1 answer:

saul85 [17]3 years ago

5 0

Answer:

y-int=(0,26)

x-int=(-6.5,0)

Step-by-step explanation:

To find the y-intercept, substitute 0 in for x

y-6=4(0+5)

y-6=4(5)

y=26

y-int=(0,26)

To find the x-intercept, substitute 0 in for y

0-6=4(x+5)

-6=4x+20

-26=4x

x=-6.5

x-int=(-6.5,0)

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5.3.4 Journal: Two-Variable Systems Elimination I need urgent help

max2010maxim [7]

Answer:

1) X stands for individual acts and y, group acts. 2) Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). 3) $S=\left \{ 5,10 \right \}$

Step-by-step explanation:

Completing with what was found:

1) Here is a summary of the scenario your classmate presented for the talent show:Main show The main show will last two hours and will include twelve individual acts and six group acts.Final show The final show will last 30 minutes and will include the top four individual acts and the top group act.The equations he came up with are: 12x+ 6y= 120, 4x+ y= 30

1. What do x and y represent in this situation?

X stands for individual acts and y, group acts.

Besides that, In the system of equation, they represent the time for x, and the time for y.

2. Do you agree that your classmate set up the equations correctly? Explain why or why not.

Yes, that's right. Each scenario describes a different period in minutes, but each one respecting their different amounts (individual and group acts). Either for 120 minutes or 30 minutes length. And their sum totalizing the whole period.

3. Solving the system by Elimination

$\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ 4x+ y= 30\:*(-3)\end{matrix}\right.\\\left\{\begin{matrix}12x+ 6y= 120\\ -12x+ -3y= -90\end{matrix}\right.\\3y=30\Rightarrow y=10\\4x+(10)=30\Rightarrow 4x=20\Rightarrow x=5\\S=\left \{ 5,10 \right \}$

8 0

3 years ago

Pls help asap! i will mark brainliest!

mina [271]

Answer:

Step-by-step explanation:

2 x 7= 14 - 17= 3

6 0

2 years ago

(1/2)x x 3/43= Pls im so close for finishing 20 POINTS

Digiron [165]

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3 0

3 years ago

Read 2 more answers

Help please:Suppose that x and y inversely, and x=10 when y=8 write the function that models the inverse variation

jarptica [38.1K]

SOLUTION

From the question, we are told that y varies inversely as x

This is mathematically written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto\text{ is a sign of proportionality } \end{gathered}$

Now, we will remove the proportionality sign and replace it with equal to sign =

If we do this, we will intoduce a constant k

$\begin{gathered} y\propto\frac{1}{x} \\ y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

So we have the formula

$y=\frac{k}{x}$

We will substitute the values of x for 10 and y for 8 into the formula to get k, we have

$\begin{gathered} y=\frac{k}{x} \\ 8=\frac{k}{10} \\ k=8\times10 \\ k=80 \end{gathered}$

Now, we will substitute k for 80 back into the formula to get the inverse function, we have

$\begin{gathered} y=\frac{k}{x} \\ y=\frac{80}{x} \end{gathered}$

Hence the answer is option C

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1 year ago

Please find the surface area of each figure to the nearest tenth? Please show the work too...

MrRa [10]

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3 years ago