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hammer [34]
3 years ago
8

Solve

Mathematics
2 answers:
zloy xaker [14]3 years ago
8 0

Answer:

1) x=-0.5 and x=-3.41

2) 12x^2

Step-by-step explanation:

a) 7-x^2=4x-5

7-x^2-4x+5=0

-x^2-4x-2=0

Multiply by -1

x^2+4x+2=0

Solve using quadratic formula $x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

we have a=1, b=4, c=2

Putting values to find x

x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}\\x=\frac{-(4)\pm\sqrt{(4)^2-4(1)(2)}}{2(1)}\\x=\frac{-4\pm\sqrt{16-8}}{2}\\x=\frac{-4\pm\sqrt{8}}{2}\\x=\frac{-4+\sqrt{8}}{2} \ and \ x=\frac{-4-\sqrt{8}}{2}\\x=-0.5 \ and \ x=-3.41

So, x=-0.5 and x=-3.41

b) Simplify

3x(x+6)-3x(6-3x)

3x(x+6)-3x(6-3x)\\=3x^2+18x-18x+9x^2\\=3x^2+9x^2\\=12x^2

jonny [76]3 years ago
3 0

Answer:

x=5/4 + 5b/4

b= -1+ 4x/5

The other one is 12x^2

Step-by-step explanation:

i asked my online computer tutoring app thingy

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Masja [62]
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3 0
3 years ago
The larger of two number is 5 times the smaller. The difference between them is 36
Anestetic [448]
X = larger number, y = smaller number

x = 5y
x - y = 36

5y - y = 36
4y = 36
y = 36/4
y = 9

x = 5y
x = 5(9)
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4 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
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Answer:

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Step-by-step explanation:

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