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3 years ago

Solve the system of equations. y=3x-1 and y=-2x+9. PLEASE SHOW WORK

Mathematics

1 answer:

kow [346]3 years ago

7 0

Since both equations equal Y, set them equal to each other and solve.

3x -1 = -2x +9

Add 2x to each side:

5x - 1 = 9

Add 1 to each side:

5x = 10

Divide both sides by 5:

x = 10/5

x = 2

Now replace x with 2 and solve for y:

y = 3(2) -1 = 6-1 = 5

x = 2, y = 5 (2,5)

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enot [183]

Figure D could be formed from the net.

(bottom right)

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The net says that the middle shape (the bottom face) is 14 long, and it is 8 tall. So the only option that makes sense is the bottom right!

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4 years ago

Solve 2z = modulus of z + 2i

Marta_Voda [28]

I assume the equation is

$2z=|z|+2i$

then let $z=x+iy$ .

$2x+2iy=\sqrt{x^2+y^2}+2i$

$2x+2i(y-1)=\sqrt{x^2+y^2}$

The right side is real-valued and positive, and only on the left side do we have an imaginary term, which tells us

$2(y-1)=0\implies y=1$

Then

$2x=\sqrt{x^2+1}$

$4x^2=x^2+1$

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$x=\pm\dfrac1{\sqrt3}$

but again we omit the negative solution, so that

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4 0

3 years ago

Each person in a certain group supports only one of the two candidates R and T. Of the people in the group, 45 percent support C

aleksley [76]

Missing Information:

Of the people in the group who support Candidate R, 58 percent are in favor of flat tax
Of the people in the group who support Candidate T, 22 are in favor of a flat tax.

Answer:

$Total = 26.1\%N + 22$

Step-by-step explanation:

Given

$R = 45\%$ -- $Percentage$ $of\ R$ in the total population

$Favor\ Flat\ Tax = 58\%$ in group R

$Favor\ Flat\ Tax = 22$ in group T

Required

Determine the number of people that supports T

First, the proportion of those that supports flax rate in R needs to be calculated.

$Proportion = 45\% * 58\%$

$Proportion = 26.1\%$

So, those that favor flat tax rate in group R are:

$Favor\ Flat\ Tax = 26.1\%N$

Where N represents the total population.

Total number of people that supports the flax tax rate is gotten by adding people that support flat tax rate in each group.

$Total = Group\ R + Group\ T$

$Total = 26.1\%N + 22$

3 0

3 years ago

The cost of a Whoppie Burger is $2.75 and a Whoppie Jr. Burger is $1.00. If 32 total burgers are ordered for a class, find the f

Viktor [21]

Answer:

c. C(x) = 88 - 1.75x

Step-by-step explanation:

Let's represent this with an equation. We know that the total number of burgers is 32, and the number of Whoppie Jr. is x, so the number of Whoppie is 32-x.

Each Whoppie costs 2.75, and each Whoppie Jr. costs 1, so multiply the cost by the number to get the equation:

C(x) = 1x + 2.75(32-x)

Now distribute and simplify.

C(x) = 2.75*32 + 1x -2.75x

C(x) = 88 -1.75x

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