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tresset_1 [31]
3 years ago
11

Which of the following is a prime factor of 6x2 + 6x - 12?

Mathematics
2 answers:
Sav [38]3 years ago
4 0
6x² + 6x - 12 = 6(x² + x - 2) = 6(x² + 2x - x - 2)

= 6(x·x + 2·x - 1·x - 1·2) = 6[x(x + 2) - 1(x + 2)]

= 6(x + 2)(x - 1)

6x² + 6x - 12 = 6(x + 2)(x - 1)


bazaltina [42]3 years ago
3 0
Solutions 

6x^2 + 6x - 12 = 6(x^2 + x - 2) = 6(x^2 + 2x - x - 2)


= 6(x*x + 2*x - 1·x - 1*2) = 6[x(x + 2) - 1(x + 2)]


= 6(x + 2)(x - 1)


6x^2+ 6x - 12 = 6(x + 2)(x - 1)
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1. -3

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3 years ago
Gravel is being dumped from a conveyor belt at a rate of 30 ft3/min, and its coarseness is such that it forms a pile in the shap
pogonyaev

Answer:

Rate of increase in height =\frac{dh}{dt}=0.3156ft/min

Step-by-step explanation:

we know that volume of a cone is given by

V=\frac{1}{12}\pi d^{2}h

It is Given that diameter equals height thus we have

V=\frac{1}{12}\pi h^{2}h\\\\V=\frac{1}{12}\pi h^{3}

Differentiating both sides with respect to time we get

\frac{dV}{dt}=\frac{1}{12}\pi \frac{dh^{3}}{dt}\\\\\frac{dV}{dt}=\frac{1}{12}\pi(3h^{2}\frac{dh}{dt})

Applying values and solving for \frac{dh}{dt} we get

\frac{dh}{dt}=\frac{12\frac{dV}{dt}}{3\pi h^{2}}\\\\\frac{dh}{dt}=0.3156ft/min

8 0
3 years ago
Karissa is a vet tech who earns $9.64 per hour. What are her total
Ymorist [56]

Answer:

385.6

Step-by-step explanation:

The wage times the hours worked find the total she makes.

6 0
2 years ago
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What is 9.2 as a fraction
Maru [420]
It is 3 1/8 because 9.2 is a decimal and a fraction is 3 1/8 and a mixed fraction is 3 7/8
7 0
3 years ago
Priya is hosting a poetry club meeting this week and plans to have fruit punch and cheese for the meeting. She is preparing 8 ou
Korvikt [17]

Answer:

i) Number of people in club = 12

ii) 96 ounces of fruit punch for 12people

iii) 24 ounces of cheese for 12 people

iv) Priya's budget for poetry club meeting in dollars = $7.87

Step-by-step explanation:

We are not given the options for the equations that could represent the quantities and constraints in this situation. We can tell we are to represent the information given above.

Number of people in the club = 12

8 ounces of fruit punch per person

For 12 people = 12×8 = 96 ounces of fruit punch

2 ounces of cheese per person

For 12 people = 12×2 = 24 ounces of cheese

A package of cheese = 16 ounces

The costs for 1package = $3.99

The costs for 16 ounces of cheese = $3.99

The cost for 24 ounces of cheese = (24×3.99)/16 = 5.985

The cost for 24 ounces of cheese = $5.99

One-gallon jug of fruit punch = 128 ounces

The cost of One-gallon jug of fruit punch = $2.50

The costs of 128 ounces of fruit punch = $2.50

The costs for 96 ounces of fruit punch = (96×2.5)/128 = 1.875

The costs for 96 ounces of fruit punch = $1.88

Priya's budget for poetry club meeting in dollars = $5.99 + $1.88 = $7.87

Cost per item for x number of people:

y = x(2.5/128) + x (3.99/16)

y = x(0.0195) + x(0.2494)

Cost equation for Priya's budget:

y = 96x(2.5/128) + 24x (3.99/16)

y = 96x(0.0195) + 24x(0.2494)

Since the total number of people to attend the meeting is 12, the constraint = 0≤x≤12

6 0
3 years ago
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