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MatroZZZ [7]
3 years ago
15

Consider this linear function y=1/2x+1 plot all ordered pairs for the values in the domain D:{-8,-4,0,2,6}

Mathematics
1 answer:
devlian [24]3 years ago
4 0

Answer:

Following are the calculated points to the given question:

Step-by-step explanation:

When\ x=-8\\\\y=\frac{1}{2}(-8)+1=-3\\\\

so,  

Point \ A(-8,-3)

When\ x=-4\\\\y=\frac{1}{2}(-4)+1=-1\\\\

so,  

Point \ B(-4,-1)

When\ x=0\\\\y=\frac{1}{2}(0)+1=1\\\\

so,  

Point \ C(0,1)

When\ x=2\\\\y=\frac{1}{2}(2)+1=2\\\\

so,  

Point \ D(2,2)

When\ x=6\\\\y=\frac{1}{2}(6)+1=4\\\\

so,

Point \ E(6,4)

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I think you would distribute what is in the parentheses and then make it so only a and b are on the left and i and the other characters that can be simplified are on the left but feel free to Google it.
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In this question, the given functions are

And we have to find the value of

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Correct option is the second option .


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Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.
nydimaria [60]

Answer: For 10 sessions, the cost of the two plans the same.

Step-by-step explanation:

Let x= Number of sessions.

Given: Christian’s Gym charges a one-time fee of $50 plus $30 per session for a personal trainer.

Total charge for x sessions = 50+30x

Nicole's fitness center charges a yearly fee of $250 plus $10 for each session with a  trainer.

Total charge for x sessions = 250+10x

When both plan charges the same, then

50+30x=250+10x\\\\\Rightarrow\ 30x-10x=250-50\\\\\Rightarrow\ 20x=200\\\\\Rightarrow\ x=10

i.e. For 10 sessions, the cost of the two plans the same.

3 0
3 years ago
What this solving system of equations?<br> x+y=-3<br> y=x^2+4x+1
Sedbober [7]

Answer:

Step-by-step explanation:

y = -x-3

y = x^2 + 4x + 1

x^2 + 4x + 1 = -x-3

x^2 + 5x + 4 = 0

Quadratic Formula

x = [-5±√(5²-4⋅1⋅4)]/[2⋅1] = [-5±√9]/2 = [-5±3]/2 = 1,-4

(x,y) = (1,-4) of(-4,1)

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3 years ago
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The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.
maks197457 [2]

Step-by-step explanation:

The first possibility

2(width) + 2(length) = perimeter

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6x - 6 + 2(length) = 10x+6

2(length) = 4x + 12

length = 2x + 6

The second possibility.

rondhesha chodado in The width of a rectangle is 3x – 3. Its perimeter is 10x + 6. Find the length of the rectangle.

So you have the perimeter, P, can be found by doing u+u+v+v.

Simplifying gives:

P=2u+2v.

You are given the width is (3x-3).  Choose this to be u or v but not both.

Perimeter is given a (10x+6).

Let's plug this in:

(10x+6)=2(3x-3)+2v

We are solving for v.

First step: Distribute where you can:

10x+6=6x-6+2v

Now we want to isolate v.

So we will need to subtract (6v-6) on both sides:

 (10x+6)=2v

- (6x -6)

----------------------

4x+12  =2v

The right hand side contains a factor of 2.

The left hand side does too since 4x+12 can be factored as 2(2x+6).

2(2x+6)=2v

This implies v is 2x+6.

Let's check our work.

We have two sides with measurement 2x+6:  (2x+6)+(2x+6)=4x+12

We have two sides with measurement 3x-3:   (3x-3)+(3x-3)=  6x-6

Let's add those sums to find the perimeter:                             10x+6

That is the intended 

3 0
3 years ago
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