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Leto [7]
3 years ago
5

The quotient of a number x and -1.5 = 21

Mathematics
2 answers:
Arada [10]3 years ago
5 0
X × - 1.5 = 21 ,so therefore x =21 ÷ -1.5 = -14
Lapatulllka [165]3 years ago
4 0

Should be... x ÷ -1.5 = 21

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The region bounded by y=(3x)^(1/2), y=3x-6, y=0
Ganezh [65]

Answer:

4.5 sq. units.

Step-by-step explanation:

The given curve is y = (3x)^{\frac{1}{2} }

⇒ y^{2} = 3x ...... (1)

This curve passes through (0,0) point.

Now, the straight line is y = 3x - 6 ....... (2)

Now, solving (1) and (2) we get,

y^{2} - y - 6 = 0

⇒ (y - 3)(y + 2) = 0

⇒ y = 3 or y = -2

We will consider y = 3.

Now, y = 3x - 6 has zero at x = 2.

Therefor, the required are = \int\limits^3_0 {(3x)^{\frac{1}{2} } } \, dx - \int\limits^3_2 {(3x - 6)} \, dx

= \sqrt{3} [{\frac{x^{\frac{3}{2} } }{\frac{3}{2} } }]^{3} _{0} - [\frac{3x^{2} }{2} - 6x ]^{3} _{2}

= [\frac{\sqrt{3}\times 2 \times 3^{\frac{3}{2} }  }{3}] - [13.5 - 18 - 6 + 12]

= 6 - 1.5

= 4.5 sq. units. (Answer)

7 0
3 years ago
Hodel just got her driver's license. Her parents offer her two options. 1. They'll buy her a used car that will cost her $0.50 p
Romashka-Z-Leto [24]

Answer:

The second option will cost her less than the first one.

Step-by-step explanation:

In order to solve this problem we will create two functions to represent the cost of the car in function of the miles drove by her.

For the first option we have:

cost_1(x) = 0.5*x

For the second option we have:

cost_2(x) = 5000 + 0.1*x

Since she intends to drive it for 10,000 miles per year for 6 years, then the total mileage she intends to drive her car is 60,000 miles. Applying this to the formula of each car and we have:

cost_1(60000) = 0.5*60000 = 30000

cost_2(60000) = 5000 + 60000*0.1 = 11000

The second option will cost her less than the first one.

7 0
3 years ago
Helppppppppppppppppppppppppppppppppppppppp
Klio2033 [76]

Answer:

B

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Please help they are separate questions please help me with this!
monitta

Answer: Mary makes $1160, Steven makes $142.50

Step-by-step explanation:

Facts

MARY

8% commision on everything she sells

She sells a car for $14,500

The first question about Mary asks how much commision she makes. To find that, lets find 8% of 14,500

8% of 14,500= 0.08x14,500= 1160

Therefore, Mary makes $1,160 in commision.

STEVEN

Facts

He makes 15% in commision for the supplies he sells

He sells $950 in supplies

Money made =?

15% of 950=0.15x950=$142.50

6 0
2 years ago
What is the value of x?<br><br> 8x−10−4x=−12(12x−20)
madreJ [45]
What is the value of X?

Simplify:
8x - 10 - 4x =   - 12(12x - 20)


Simplify both sides:
8x - 10 - 4x =  - 12(12x -20)

8x +  - 10 +  - 4x  = (- 12)(12x) + ( -12)(- 20)
(Distribute:)
8x +  - 10 +  - 4x = 144x 240

(8x +  - 4x) + ( -10) =  - 144x + 240 (Combine Like Terms:)

4x +  - 10 =  - 144x + 240

4x - 10 =  - 144x + 240

Add - 144x to both sides:

4x - 10 +  144x =   - 144x + 240 + 144x

148x - 10 = 240


Add 10 to both sides:

148x - 10 + 10 = 240 + 10

148x = 250

Divide both sides by 148

148x/148 = 250/148

x = 125/74


Answer:  x = 125/74 (Decimal: 1.689189)



Hope that helps!!!!




3 0
3 years ago
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