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djyliett [7]
3 years ago
14

Simplify-3(4a-5b)-(a-b)

Mathematics
2 answers:
Anuta_ua [19.1K]3 years ago
5 0
-3(4a-5b)-(a-b)=\\
-12a+15b-a+b=\\
-13a+16b
madam [21]3 years ago
3 0
- 3(4a - 5b) - (a - b)
= - 12a + 15b - a + b
= - 13a + 16b
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How do you simplify 105 over 1000
Anit [1.1K]

Answer: 105/1000 = 21/200

GCD is 5 in this problem.

Step-by-step explanation:

You need to find the GCD for both numbers and reduce.

8 0
2 years ago
A park is rectangular with a length of 1/2 miles. If the area of the park is 6/8 square miles, what is its width? Input your ans
Mademuasel [1]

Step-by-step explanation:

Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

8 0
3 years ago
F(x) = -2x + 4<br> g(x) = 2x^2 – 2x - 8<br> Find: (gof)(x)
icang [17]

Answer:

Step-by-step explanation:

f(x)=-2x+4\\g(x)=2x^2-2x-8\\(g\circ f)(x)=g(f(x))\\=g(-2x+4)\\=2(-2x+4)^2-2(-2x+4)-8\\=2(4x^2-16x+16)+4x-8-8\\=8x^2+(-32x+4x)+(32-8-8)\\=8x^2-28x+16

5 0
3 years ago
The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. The price-demand function, in dolla
Trava [24]

Answer:

Step-by-step explanation:

Let x represent the number of tubs of ice cream that was produced.

The unit cost, in dollars, to produce tubs of ice cream is $18 and the fixed cost is $11610. This means that the total cost of producing x tubs of ice cream would be

C(x) = 18x + 11610

The price-demand function, in dollars per tub, is p(x)=374-2x.

The revenue function is product of the output by the price function

R(x) = x × p(x) = xp(x)

R(x) = x(374 - 2x) = 374x - 2x²

The profit function P(x) = R(x) - C(x)

Therefore,

P(x) = 374x - 2x² - (18x + 11610)

P(x) = 374x - 2x² - 18x - 11610

P(x) = - 2x² + 374x - 18x - 11610

P(x) = - 2x² + 356x - 11610

At the break even point,

Revenue = total cost.

Therefore,

374x - 2x² = 18x + 11610

2x² + 18x - 374x + 11610 = 0

2x² - 356x + 11610 = 0

Dividing through by 2, it becomes

x² - 178x + 5805 = 0

Applying the general formula for quadratic equations,

x = [- b ±√(b² - 4ac)]/2a

x = [- - 178 ±√(-178² - 4 × 1 × 5805)]/2 × 1

x = [178 ±√(31684 - 23220)]/2

x = [178 ±92]/2

x = (178 + 92)/2 or (178 - 92)/2

x = 135 or x = 43

Therefore, the quantity for the smallest break-even point is 43.

4 0
3 years ago
Which ordered pair is the solution to the system of linear equations y = -7x + 2 and y = 9x - 14?
lisabon 2012 [21]
Y = -7x + 2
y = 9x - 14

-7x + 2 = 9x - 14
14 + 2 = 9x + 7x
16 = 16x
1 = x

y = -7x + 2
y = -7(1) + 2
y = -7 + 2
y = -5

solution is : (1,-5) <==
4 0
3 years ago
Read 2 more answers
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