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ZanzabumX [31]
3 years ago
11

Find the solutions to the equation below. 2x2 + 7x + 3 = 0

Mathematics
2 answers:
Tanzania [10]3 years ago
8 0

Answer: x=-1

Step-by-step explanation: 2 times 2 is 4 plus 7x plus 3. Move 4 and 3 over and you get negative 7. Divide by 7 and x=-1.

zmey [24]3 years ago
3 0

Answer:

x = -1/2 and x = -3

Step-by-step explanation:

2x² + 7x + 3 = 0

Using AC method:

2 × 3 = 6

Factors of 6 that add up to 7: 1 and 6

Divide by 2 and reduce: 1/2, 6/2 = 3/1

The factors are (2x + 1) and (x + 3)

(2x + 1) (x + 3) = 0

2x + 1 = 0

x = -1/2

x + 3 = 0

x = -3

The solutions are x = -1/2 and x = -3.

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The designer also programs a bird with a path that can be modeled by a quadratic function. The bird starts at the vertex of the
Nady [450]

Answer:

-1.2

Step-by-step explanation:

Given that the designer also programs a bird with a path that can be modeled by a quadratic function.

The bird starts at the vertex of the path at (0, 20) and passes through the point (10, 8).

If we treat this curve as line joining these two points then we can find the slope by the formula

Slope = change in y coordinate/change in x coordinate

Here the points given are

(0,20) and (10,8)

Change in y coordinate = 8-20 = -12\\Change in x coordinate = 10-0 = 10\\Slope = -1.2

Slope of the line that represents the turtle's path

=-1.2

6 0
3 years ago
Find the LCM of n^3 t^2 and nt^4.<br><br> A) n 4t^6<br> B) n 3t^6<br> C) n 3t^4<br> D) nt^2
patriot [66]

Answer:

The correct option is C.

Step-by-step explanation:

The least common multiple (LCM) of any two numbers is the smallest number that they both divide evenly into.

The given terms are n^3t^2 and nt^4.

The factored form of each term is

n^3t^2=n\times n\times n\times t\times t

nt^4=n\times t\times t\times t\times t

To find the LCM of given numbers, multiply all factors of both terms and common factors of both terms are multiplied once.

LCM(n^3t^2,nt^4)=n\times n\times n\times t\times t\times t\times t

LCM(n^3t^2,nt^4)=n^3t^4

The LCM of given terms is n^3t^4. Therefore the correct option is C.

8 0
3 years ago
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A pile of earth removed from an excavation is a cone measuring 6ft high and 30ft across its base. How many trips will it take to
nignag [31]

Answer: 14

Step-by-step explanation:

Given

Excavation cone measures

height h=6\ ft

Diameter d=30\ ft

Truck can dump 125\ ft^3 at a time

The volume of a cone is

V=\dfrac{1}{3}\pi r^2h

Putting values

\Rightarrow V=\dfrac{1}{3}\times \pi\times 15^2\times 6\\\Rightarrow V=1413.9\approx 1414\ ft^3

No of trips(N) required to accumulate this much volume is given by

\Rightarrow N=\dfrac{1414}{125}=13.3\approx 14

Therefore, 14 trips are necessary to accumulate a cone of volume 1414\ ft^3

8 0
3 years ago
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