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nadezda [96]
3 years ago
12

Solve the system of equations. y= 3x +5 y= 8x +3

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
5 0

Answer:

y=6.2 and x=0.4 or (0.4,6.2)

Step-by-step explanation:

Since both expressions are equal to y, we can set them equal to each other and solve for x:

3x+5=8x+3

5=5x+3

2=5x

2/5=x

0.4=x

Now to solve y:

y=8(2/5)+3

y=16/5+3

y=3.2+3

y=6.2

Check answers:

6.2=3(0.4)+5

6.2=1.2+5

6.2=6.2

6.2=8(0.4)+3

6.2=3.2+3

6.2=6.2

Answers work, so y=6.2 and x=0.4 or (0.4,6.2) as an ordered pair

Ede4ka [16]3 years ago
5 0

Answer: x= 2/5  , y= 31/5

Step-by-step explanation:Let's work to solve this system of equations:

y= 3x +5 :  Equation 1

y= 8x +3 : Equation 2

The tricky thing is that there are two variables, x and y. If only we could get rid of one of the variables...

subsitute y= 8x +3 : [8x+3=3x+5]

isolate x for 8x+3=3x+5: x+2/5

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Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (in miles per gallon
Leviafan [203]

Answer: 0.82 miles per gallon

Step-by-step explanation:

Given : Jenna has bought a new hybrid car. Each week for a period of seven weeks, she has noted the fuel efficiency (x) (in miles per gallon) of her car.

The results are :45 44 43 44 45 44 43

The formula to find the standard deviation is given by :-

\sigma=\sqrt{\dfrac{\sum_{i=1}^n(x_i-\overline{x})^2}{n-1}}

First we find mean of the given data ,

\overline{x}=\dfrac{\sum^n_{i=1}x_i}{n}\\\\=\dfrac{45+44+43+44+45+44+43}{7}=\dfrac{308}{7}=44

Now,

{\sum_{i=1}^n(x_i-\overline{x})^2=(1)^2+(0)^2+(-1)^2+(0)^2+(1)^2+(0)^2+(-1)^2

=1+1+1+1=4

Now,  standard deviation of the above results will be :-

\sigma=\sqrt{\dfrac{4}{7-1}}\\\\=\sqrt{\dfrac{4}{6}}\\\\=\dfrac{2}{\sqrt{3}}=0.816496580928\approx0.82

Hence, the standard deviation of these results = 0.82 miles per gallon

8 0
3 years ago
Parallel and perpendicular Lines faqing help me
liberstina [14]

1.

Perpendicular. y=3x+4

Parallel. y=-1/3 x-8/3

2.

Perpendicular. y=-x-1

Parallel. y=x+11

3.

Perpendicular. y=7/4 x+8

Parallel. y=-7/4 x-9/7

4.

Perpendicular. y=4/5 x-3

Parallel. y=-5/4 x+35/2

yeesh, that took a while :) hope I helped!

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3 years ago
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The 3 in 530 is 1/10 of the value than in 300
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3 years ago
I need to know the answer to p=4x-140
dalvyx [7]
This is not look like something that could be answered, check around the paper for a graphing box.
This looks like a formula for a line on a graph: y=Mx+b. I can help you if this is the case, 1. Put a point at -140 on the Y axis (up and down) 2. Move up 1 and over 4and put a dot there( you could multiply the 1 and 4 to cover a larger area) because it goes all the way to -140.
7 0
3 years ago
Define a variable and write an inequality to model each situation. A light bulb can be no more than 75 watts to be safely used i
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