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vazorg [7]
3 years ago
7

Solve each equation for the indicated variable K=a-y;y Dfg=h;g W=x/a-b;x

Mathematics
1 answer:
Tanzania [10]3 years ago
6 0
TO solve each of the equation given above, we need to write the equation in such a way that the one asked is isolated and all other terms are on one side. We do as follows:

<span>K=a-y ; y
y = a - K

Dfg=h ; g
g = h / Df

W=x/a-b;x
x = ( W + b ) </span>
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HURRY PLEASE
klasskru [66]

Answer:

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

y=0,\:x=6

Step-by-step explanation:

Considering the system of the equations

\begin{bmatrix}2x-7y=12\\ -x+15y=-6\end{bmatrix}

\mathrm{Isolate}\:x\:\mathrm{for}\:2x-7y=12

2x-7y+7y=12+7y

2x=12+7y

Divide both sides by 2

\frac{2x}{2}=\frac{12}{2}+\frac{7y}{2}

x=\frac{12+7y}{2}

\mathrm{Subsititute\:}x=\frac{12+7y}{2}

\begin{bmatrix}-\frac{12+7y}{2}+15y=-6\end{bmatrix}

-\frac{12+7y}{2}+15y=-6

\mathrm{Multiply\:both\:sides\:by\:}2

-\frac{12+7y}{2}\cdot \:2+15y\cdot \:2=-6\cdot \:2

-\left(12+7y\right)+30y=-12

-12+23y=-12

-12+23y+12=-12+12

23y=0

\mathrm{Divide\:both\:sides\:by\:}23

\frac{23y}{23}=\frac{0}{23}

y=0

\mathrm{For\:}x=\frac{12+7y}{2}

\mathrm{Subsititute\:}y=0

x=\frac{12+7\cdot \:0}{2}

x=\frac{12}{2}

x=6

\mathrm{The\:solutions\:to\:the\:system\:of\:equations\:are:}

y=0,\:x=6

4 0
3 years ago
If f(x)=x+1/x-1 and g(x)=1/x, find f(-2x)
dezoksy [38]

Answer:

First notice that θ is in quadrant I, where the sine and tangent will also be positive.

Then draw the angle in quadrant I. Drop a perpendicular to the x axis.

Since cosθ= 7/25, label the horizontal leg 7, and the hypotenuse 25; the vertical leg will be 24 by Pythagorean theorem.

Then sinθ=vertical/hypotenuse=  24/25 and tanθ= vertical/horizontal=  24/7

Step-by-step explanation:

6 0
3 years ago
Hello please help me! There are 3 questions, I will give brainliest!
Shalnov [3]

Answer:

1) There are 13 students in Jerry's study.

2) There are 39 students in Kathy's study.

3) Jerry's study is more trustworthy!

Step-by-step explanation:

1) Jerry's study is the one with the dot plot.

Now, the number of students is calculated by adding the total number of dots in the plot.

We have a total of 13 dots.

Thus, there are 13 students in Jerry's study.

2) Kathy's study is the one with the histogram.

The total number of students is gotten by adding the corresponding number of students on the y-axis for each range of distance on the x-axis.

Total number of students = 9 + 11 + 7 + 12 = 39 students

3) Jerry's study where he used a dot plot is likely to be more trustworthy because it gives exact values of the number of students for each distance represented whereas, Kathy's study where she used a histogram doesn't give exact values but just gives a range of distances for a particular number of people.

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Can someone please write an equation to model this scenario which relates to the first two questions. I need it ASAP!
Vika [28.1K]

Answer:

y = 50x + 200

Step-by-step explanation:

the 200 is the y intercept because it is where his pay starts, so even if Matt doesnt make any sales he will still get 200 that week

the slope (50) is determined because that is what will change

if he makes 2 sales he will make 100 + 200 that week, and if he makes 4 sales he will make 200 + 200 that week and so on

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3 years ago
Why might where you live be a factor in determining your utility costs?
marissa [1.9K]

Answer:

It depends on how much sun the place receives, how much it is shaded. temperature in the area. Do you have solar panels, electric heat, gas? All these factors determine utility cost.

Step-by-step explanation:

4 0
3 years ago
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