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vova2212 [387]
3 years ago
5

Your friend Mel says he has an easier way to solve this problem. Here are the first steps in his method.

Mathematics
1 answer:
damaskus [11]3 years ago
4 0

Simplifying

2x2 + 6x + 4 = 24

Reorder the terms:

4 + 6x + 2x2 = 24

Solving

4 + 6x + 2x2 = 24

Solving for variable 'x'.

Reorder the terms:

4 + -24 + 6x + 2x2 = 24 + -24

Combine like terms: 4 + -24 = -20

-20 + 6x + 2x2 = 24 + -24

Combine like terms: 24 + -24 = 0

-20 + 6x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.

2(-10 + 3x + x2) = 0

Factor a trinomial.

2((-5 + -1x)(2 + -1x)) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve:

Simplifying

-5 + -1x = 0

Solving

-5 + -1x = 0

Move all terms containing x to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + 5 + -1x = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1x = 0 + 5

-1x = 0 + 5

Combine like terms: 0 + 5 = 5

-1x = 5

Divide each side by '-1'.

x = -5

Simplifying

x = -5

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Y = f(x) = 25x<br><br> Find f(x) when x= 1/2
Ray Of Light [21]

Answer:

12.5

Step-by-step explanation:

f of x just means y, so you're just finding y when x = 1/2

7 0
3 years ago
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Could the table x,y pairs have been generated by a linear function x 1,2,3,4 y 3,5,7,9
Serjik [45]
Thanks for the link tysmmmmmm
8 0
3 years ago
Suppose that the number of a certain type of computer that can be sold when its price is P (in dollars) is given by a linear fun
Scilla [17]

Answer:

a) N(P) = -6P + 16000

b) slope = -6 computers per dollar

That means the number of computer sold reduce by 6 per dollar increase in price.

c) ∆N = -660 computers

Step-by-step explanation:

Since N(P) is a linear function

N(P) = mP + C

Where m is the slope and C is the intercept.

Case 1

N(1000) = 10000

10000 = 1000m + C ....1

Case 2

N(1700) = 5800

5800 = 1700m + C ....2

Subtracting equation 1 from 2

700m = 5800 - 10000

m = -4200/700

m = -6

Substituting m = -6 into eqn 1

10000 = (-6)1000 + C

C = 10000+ 6000 = 16000

N(P) = -6P + 16000

b) slope = -6 computers per dollar

That means the number of computer sold reduce by 6 per dollar increase in price.

Slope is the change in number of computer sold per unit Change in price.

c) since slope m = -6 computers per dollar

∆P = 110 dollars

∆N = m × ∆P

Substituting the values,

∆N = -6 computers/dollar × 110 dollars

∆N = -660 computers.

The number of computer sold reduce by 660 when the price increase by 110 dollars

7 0
3 years ago
Jazel time to check your progress. So far you have completed 816 miles which is 47% of the trail. Can you find about how many mi
musickatia [10]

Answer:

1,736.17miles

Step-by-step explanation:

Let the total trip be x miles

If 47% of the total trip is 816, then;

47% of x  = 816

0.47x = 816

Divide both sides by 0.47

x = 816/0.47

x = 1,736.17miles

Hence the total miles for the trip is 1,736.17miles

4 0
2 years ago
I need help!<br><br> Please help!
bearhunter [10]
I think it's b

Hope I could help
6 0
3 years ago
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