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Tresset [83]
4 years ago
7

How many solutions exist for the following system of equations: 4x + y = 7 and 3x - y = 0 a. no solution b. one solution c. infi

nitely many d. cannot be determined
Mathematics
1 answer:
Zanzabum4 years ago
6 0
4x+y=7 \\
\underline{3x-y=0} \\
4x+3x=7+0 \\
7x=7 \ \ \ |\div 7 \\
x=1 \\ \\
3x-y=0 \\
3 \times 1-y=0 \\
3-y=0 \ \ \ |+y \\
y=3 \\ \\
(x,y)=(1,3)

The answer is B. one solution.
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If y varies inversely as x, and y=10 when x=2, find y when x=8
dedylja [7]
\bf \qquad \qquad \textit{inverse proportional variation}\\\\
\textit{\underline{y} varies inversely with \underline{x}}\qquad \qquad  y=\cfrac{k}{x}\impliedby 
\begin{array}{llll}
k=constant\ of\\
\qquad  variation
\end{array}\\\\
-------------------------------\\\\
\textit{we also know that }
\begin{cases}
y=10\\
x=2
\end{cases}\implies 10=k2\implies \cfrac{10}{2}=k\implies 5=k
\\\\\\
therefore\qquad \boxed{y=\cfrac{5}{x}}
\\\\\\
\textit{when x = 8, what is \underline{y}?}\qquad y=\cfrac{5}{8}
4 0
3 years ago
Read 2 more answers
Nicole used 3\8 of her ribbion to wrap a present.. If she used 6feet of ribbion for the present, how much ribbion did Nicole hav
Karolina [17]
That would be 16 feet of ribbon.
5 0
3 years ago
Read 2 more answers
Can u help me with these
NemiM [27]

Answer:

3)B y intercept is -5 which is what the -5 in the equation stands for, the slope is -2 which means 2 up one left (left since slope is negative)

4)C y intercept of -2, slope is 3/4 rise over run which means we go up 3 and right 4 (right sense slope is positive)

5)A y intercept of 1, slope of 7 which means up 7 over 1

4 0
3 years ago
Write the equation of the line through the points (4,5) and (12,9)
Umnica [9.8K]

Answer:

 y=1/2+1

Step-by-step explanation:

1) Y2-Y1 over X2-X1

<u>9-5=4</u>

12-4=8

4/8 simplify the answer= 1/2

m=1/2

2) subtitute the simplification to one of the points.

y=mx+b

5=1(4)+b

5=4=b

1=b

y=1/2+1

7 0
4 years ago
A flash disk has the capacity of storing 1 megabyte of data. How many kilobytes of data can be stored in the same flash disk​
Luden [163]

For this sort of problem, you need to be familiar with prefixes.

So:

megabyte = 1 *10^6 bytes

kilobyte = 1*10^3 bytes

and a regular byte would just be 1

Now, you will need to do a conversion:

1megabyte*\frac{1*10^6bytes}{1megabyte}*\frac{1*10^{-3}kilobyte}{1byte}

I'm going to explain this just in case, but we convert megabytes to regular bytes in the first half by using the information I gave you above. (In one megabyte, there are 1*10^6 bytes!)

In the second fraction thought, remember one kilobyte is 1*10^3 bytes. However, you usually only see one of each thing on the bottom of fractions, so you need to add a negative sign to the 3. (technically you could just do \frac{1kilobyte}{1*10^3bytes}, but I think it is more correct to do write it out how I did).

*** They do equal the same thing though! Do whichever way is easier for you!

Now, your answer should be:

10^3 kilobytes (1000 kilobytes)

Hope this helped!

6 0
3 years ago
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