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Marina86 [1]
4 years ago
13

Find a common solution for the system of equations given below: -1/4x+y=-2 -x+4y=-8

Mathematics
1 answer:
Neporo4naja [7]4 years ago
6 0

\left\{\begin{array}{ccc}-\dfrac{1}{4}x+y=-2&|\cdot4\\-x+4y=-8\end{array}\right\\\\\left\{\begin{array}{ccc}-x+4y=-8\\-x+4y=-8\end{array}\right\\\\-x+4y=-8\ \ \ \ |+x\\4y=x-8\ \ \ \ |:4\\y=\dfrac{1}{4}x+2\\\\\left\{\begin{array}{ccc}x\in\mathbb{R}\\\\y=\dfrac{1}{4}x+2\end{array}\right

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S varies inversely as G. If S is 4 when G is 1.8, find S when G is 6.
Reika [66]

Given that "S" varies inversely as "G", it is an Inverse Variation Relationship. Then, it has this form:

S=\frac{k}{G}

Where "k" is the Constant of Variation.

Knowing that:

S=4

When:

G=1.8

You can substitute values and solve for "k":

\begin{gathered} 4=\frac{k}{1.8} \\  \\ (4)(1.8)=k \\  \\ k=7.2 \end{gathered}

Then, the equation that models the situation is:

S=\frac{7.2}{G}

Substituting this value of "G" into the equation and evaluating:

G=6

You get:

S=\frac{7.2}{6}=1.2

Hence, the answer is:

S=1.2

4 0
1 year ago
What is the mean of this sample, which consists of 10
In-s [12.5K]

Answer:

The mean of the samples is 21

Step-by-step explanation:

Mean is defined as the average sum of numbers i.e total sum of given numbers divided by the total number.

Given the randomly selected numbers as shown;

7, 100, 1, 3, 7, 10, 15, 12, 17, 38

Total sum of numbers = 7+ 100 + 1 + 3 + 7 + 10 + 15 + 12 + 17 + 38

= 210

Total numbers given = 10

Mean = 210/10

Mean = 21

7 0
4 years ago
How long can a snake be
ANTONII [103]
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5 0
3 years ago
Read 2 more answers
11/6 = n + 7/9 what is n
LuckyWell [14K]

Answer:

n = 19/18

Step-by-step explanation:

11/6 = n + 7/9

To isolate n, we want to subtract 7/9 from both sides.

11/6 - 7/9 = n

To subtract these fractions, they need to have the same denominator. A common multiple of 6 and 9 is 18.

11/6 ⇒ 33/18

7/9 ⇒ 14/18

33/18 - 14/18 = 19/18

n = 19/18

Hope this helps!

6 0
3 years ago
I need help with this question 2x+8
grandymaker [24]

Answer:

2(x+4)

Step-by-step explanation:

4 0
3 years ago
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