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2 years ago

Substitute for x+2y=12 and x=y-12 PLEASE HELP !

Mathematics

2 answers:

yan [13]2 years ago

7 0

Answer:

x = -4, y = 8

Step-by-step explanation:

y - 12 + 2y = 12

=> 3y = 24

=> y = 8

x = 8 - 12

=> x = -4

34kurt2 years ago

5 0

Answer:

x = -4

y = 8

Step-by-step explanation:

We can substitute:

=> (y - 12) + 2y = 12

=> 3y - 12 = 12

=> 3y = 12 + 12

=> 3y = 24

=> y = 24/3

=> y = 8

Now we can substitute 8 in for y, in any of the equation given to find x:

=> x = (8) - 12

=> x = -4

Hope this helps!

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Evaluate the function f(x)=x^2+6x+2 at the given values of the independent variable and simplify.

____ [38]

Answer:

a) 18

b)x^2+10x+18

c)x^2 -6x+2

Step-by-step explanation:

This is a case of plugging in the value into f(x).

a) f(-8)= -8^2 + 6(-8) +2

f(-8)= 64 + (-48) +2

f(-8)=64 + (-46)

f(-8)=18

b) f(x+2)= (x+2)^2+6(x+2)+2

So here I'll take a break to explain what's going on, because x+2 is a binomial meaning two terms and it is being squared I have to multiply the whole thing by itself. Meaning: (x+2) x (x+2), this is also known as foiling!! and for the next part its distributing 6 into x and 2.

f(x+2)= x^2+4x+4+6x+12+2

I'll reorder it

f(x+2)= x^2+4x+6x+12+2+4

f(x+2)= x^2+10x+18

c) f(-x)= -x^2+6(-x) +2

f(-x)= x^2 -6x+2

6 0

2 years ago

A bag contains 10 red marbles, 7 green marbles. and 8 striped marbles. A marble is picked, then put back into bag. Find P(green

SIZIF [17.4K]

G = number of green = 7

S = number of striped = 8

T = number total = 10+7+8 = 25

probability of picking green = P(G) = G/T = 7/25

probability of picking striped = P(S) = S/T = 8/25

P(green and striped) = P(G)*P(S) ... events are independent

P(green and striped) = (7/25)*(8/25)

P(green and striped) = (7*8)/(25*25)

P(green and striped) = 56/625

P(green and striped) = 0.0896

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

In summary, the answer as a fraction is 56/625

In decimal form, the answer is 0.0896

The value 0.0896 can be converted to percent form to get 8.96%

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3 years ago

Which property allows you to write the expression

umka2103 [35]

Answer:

the associative property

Step-by-step explanation:

the associative property allows the numbers to add regardless of how you group the numbers

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3 years ago

Please help me ASAP I will give brainliest

stellarik [79]

Answer:

-23

Step-by-step explanation:

rearrange to point slope form first

slope can be fine by y2-y1/x2-x1 (im using the first 2 points)

so 13-25 = -12 and -54-(-72) = 18, and the slope is -12/18 which is -2/3

then you can use any point (i used the first point) to create the point slope form which is y-ypoint=slope(x-xpoint) and equation would be y-25=-2/3(x+72)

turn it into slope intercept form by multiplying -2/3 within the equation and adding -25 on both sides

you will get y= -2/3x-23

and the y intercept will be (0, -23)

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