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erma4kov [3.2K]
3 years ago
6

How many times does the equation f(x)=2x^2+9x-5 intersect the x-axis

Mathematics
1 answer:
Komok [63]3 years ago
8 0

Answer:

2

Step-by-step explanation:

f(x)=2x^2+9x-5

When we are find how many times it intersects the x axis, we are finding the zero's. Set the equation equal to zero

0=2x^2+9x-5

Factor the equation

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

2*1

1*-5 = -5

2*-5 +1*1 = -9

This checks for the first last and middle terms so we factored correctly

Then using the zero product property

2x+1 = 0 and x-5 =0

2x = -1    x=5

x = -1/2  and x=5

This function crosses the x axis 2 times

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What is a benchmark number?
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A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m
Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

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3 years ago
Find the surface area of a right prism whose bases are equilateral triangles with side lengths of 6in. The height of the prism i
vesna_86 [32]

ANSWER

211.2 {in}^{2}

EXPLANATION

The surface area of a triangular prism is

equal to the area of two triangular faces

plus the area of the three rectangular faces.

The area of the equilateral triangle is calculated using the formula:

= 2 \times \frac{ \sqrt{3} }{4}  {s}^{2}  + 3 \times  \: bh

where s=6 is the length of one side.

and b=6 is the breadth of the rectangle and h=10 is the height of the rectangle.

Surface area

= 2 \times \frac{ \sqrt{3} }{4}  \times  {6}^{2}  + 3 \times  \: 6 \times 10

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Answer:

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Step-by-step explanation:

Given data

Diameter= 12cm

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The expression for the volume of a cylinder is

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Substitute

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757.36=113.112h

h= 757.36/113.112

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