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Nookie1986 [14]
3 years ago
11

(08.03)

Mathematics
1 answer:
VMariaS [17]3 years ago
8 0

Answer:

rearrange them properly to get

x-y=7

-3x+y=12

( by elimination method)

x-y = 7

-3x+y=

(x+ –3x) + (–y+y) = (7+12)

-2x+0= 19

x= -9.5

from eqn(i)

x-y=7

-9.5 - y=7

-y=16.5

y= -16.5

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F(x) = -1<br> g(x) = x-4<br> Can you evaluate (gof)(o)? Explain why or why<br> not.
ella [17]
Answer: Yes. (gof)(0) = -5

(gof)(0) means you will find the function of g(f(0)), which means we will find f(0) and plug that value in for x in the function g(x)

We know f(0) is -1, so we can plug -1 into the equation of g(x)

(gof)(0) = (-1) - 4
(gof)(0) = -5
7 0
3 years ago
FASTTTTTTTTT PPPPPPPPPPPPPPLLLLLLLLLLLLLLLLZZZZZZZZZZZZZZZ
Deffense [45]

Answer:

(a) B

(b) $2

Step-by-step explanation:

(a) Let's say the cost of a ticket is t and the cost of popcorn is p. Then we can write the two equations from the table:

12t + 8p = 184

9t + 6p = 138

We need to solve this, so let's use elimination. Multiply the first equation by 3 and the second equation by 4:

3 * (12t + 8p = 184)

4 * (9t + 6p = 138)

We get:

36t + 24p = 552

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    36t + 24p = 552

________________

       0 = 0

Since we get down to 0 = 0, which is always true, we know that we cannot determine the cost of each ticket because there is more than one solution (infinitely many, actually). The answer is B.

(b) Our equation from this, if we still use t and p, is:

5t + 4p = 82

Now, just choose any of the two equations from above. Let's just pick 9t + 6p = 138. Now, we have the system:

5t + 4p = 82

9t + 6p = 138

To solve, let's use elimination again. Multiply the first equation by 6 and the second one by 4:

6 * (5t + 4p = 82)

4 * (9t + 6p = 138)

We get:

30t + 24p = 492

36t + 24p = 552

Subtract the second from the first:

    36t + 24p = 552

-    30t + 24p = 492

________________

      6t + 0p = 60

So, t = 60/6 = $10. Plug this back into any of the equations to solve for p:

5t + 4p = 82

5 * 10 + 4p = 82

50 + 4p = 82

4p = 32

p = 32/4 = $8

So the ticket costs 10 - 8 = $2 more dollars than the popcorn.

5 0
3 years ago
Read 2 more answers
a carpenter has a board that is 8 feet long he cuts of 2 pieces one piece is 3 and a half feet long the other is 2 and one feet
kakasveta [241]
3 1/2 I think
8-3 1/2=5 1/2
5 1/2-2=3 1/2
5 0
3 years ago
Read 2 more answers
What is the value of the expression ? (243^2)^1/10<br><br> A.9<br><br> B.81<br><br> C.3<br><br> D.27
podryga [215]

(243^2)^{\tfrac 1{10}}\\\\=243^{\tfrac 2{10}}\\\\=243^{\tfrac 15}\\\\=(3^5)^{\tfrac 15}\\\\=3^{\tfrac 55}\\\\=3^1\\ \\=3\\\\\text{Hence the the answer is C.}

7 0
2 years ago
|-4b-8|+|-1-b^2|+2b^3; b=-2
ella [17]
The answer would be -11.
Hope this helps :)

6 0
3 years ago
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