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marissa [1.9K]
3 years ago
10

Y= 6x + 4 and y= 4x - 2

Mathematics
2 answers:
LenKa [72]3 years ago
8 0
Easy
sub since boht equal y, both are equal
6x+4=y=4x-2
6x+4=4x-2
minus 4x
2x+4=-2
minus 4
2x=-6
divide 2
x=-3
sub back
y=4x-2
y=4(-3)-2
y=-12-2
y=-14

solution in (x,y) form is
(-3,-14)
nadezda [96]3 years ago
3 0
Matrix or it can be y=4
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My cousin was interested in reactions that produce carbon dioxide gas. She wondered if there was some way to predict how much ga
11Alexandr11 [23.1K]

Answer:

1.)2240

2.)1173.33334

3) soda = 3, calcium chloride = 2.625

Step-by-step explanation:

Baking soda (spoons)

1 - 1 - 1 - 2 - 2 -2 - 3

Calcium chloride (spoons)

1 - 2 - 3 - 1 - 2 - 3 - 1

Carbon dioxide (milliliters)

800 - 1600 - 1600 - 800 - 1600 - 2400 - 800

Modeling the above using a multiple regression technique:

ŷ = ax1 + bx2 + c

Where ŷ is the predicted value

x1 and x2 are the first and second predictor variable.

ŷ = 106.66667X1 + 640X2 - 0

1.) How many mL of gas would be produced if 3 spoons of baking soda reacted with 3 spoons of calcium chloride?

ŷ = 106.66667(3)+ 640(3) - 0

320.00001 + 1920 - 0 = 2240

2.) How many mL of gas would be produced if 2 spoons of baking soda reacted with 1.5 spoons of calcium chloride?

ŷ = 106.66667(2)+ 640(1.5) - 0

213.33334 + 960 + 0 = 1173.33334

C.) To produce 2000mL of gas

It could be achieves a a number of ways

ŷ = 106.66667X1 + 640X2 - 0

For instance if she opts to use 3 spoons of soda

2000 = 106.66667(3) + 640x2

2000 = 320.00001 + 640x2

2000 - 320 = 640x2

x2 = 1680/640

x2 = 2.625 spoons

4 0
2 years ago
Help me with this two question please
Degger [83]
I think the answer is b
8 0
2 years ago
Read 2 more answers
What is the units digit of 2 to the 50th power
11111nata11111 [884]
Notice that

2^1=2
2^2=4
2^3=8
2^4=16
2^5=32

so that for each power of 2, there is a pattern of period 4. This means that for integers k\ge0, each of 2^{4k}, 2^{4k+1}, 2^{4k+2}, and 2^{4k+3} have the same units digit.

We can write 50=4(12)+2, and since 3=4(0)+2, it follows that 2^{50} and 2^3 share the same units digits. So the units digit of 2^{54} is 8.
6 0
3 years ago
If reporter jo reports 12 stories every 3weeks what is the simplified ratio of stories to weeks
bagirrra123 [75]
The simplified ratio would be 4 to 1! hope this helps :)
6 0
3 years ago
I NEED HELP PLEASE, THANK YOU!
bixtya [17]

Answer:

\sqrt{37}

Step-by-step explanation:

To find the distance between a point (m, n ) and the line

Ax + By + C = 0

d = \frac{|Am +Bn+C|}{\sqrt{A^2+B^2} }

Here (m, n) = (6, 2) and rearranging the line

6x - y + 3 = 0 ← in general form

with A = 6, B = - 1 and C = 3 , then

d = \frac{|6(6)-1(2)+3|}{\sqrt{6^2+(-1)^2} }

   = \frac{|36-2+3|}{\sqrt{36+1} }

   = \frac{37}{\sqrt{37} }  

Rationalise the denominator by multiplying numerator/ denominator by \sqrt{37}

= \frac{37}{\sqrt{37} } × \frac{\sqrt{37} }{\sqrt{37} }

=\frac{37\sqrt{37} }{37} ← cancel 37 on numerator/ denominator

= \sqrt{37}

5 0
3 years ago
Read 2 more answers
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