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2 years ago

Given the trinomial 5x^2-2x-3, predict the type of solutions.

Mathematics

2 answers:

pishuonlain [190]2 years ago

3 0

Consider the trinomial $5x^2-2x-3.$

1. Find the discriminant:

$D=b^2-4ac=(-2)^2-4\cdot 5\cdot (-3)=4+60=64,\\ \\\sqrt{D}=8>0.$

2. Find the roots of given trinomial:

$x_{1,2}=\dfrac{-b\pm \sqrt{D}}{2a}=\dfrac{2\pm 8}{2\cdot 5}=1,-0.6.$

3. Conclusion: given trinomial has two different real roots.

Mnenie [13.5K]2 years ago

3 0

Given: 5x^2 - 2x - 3

Using a calculator to obtain the solutions to the given trinomial, the solutions obtained are 1 and -3/5. The values 1 and -3/5 are rational and real numbers. Therefore, the type of solutions obtained are rational and real.

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The diagram below shows scalene triangle WXY. The measure of WXY is 71 degree.

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Answer:

A AND D

Step-by-step explanation:

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1 year ago

Approximately 80,000 marriages took place in the state of New York last year. Estimate the probability that for at least one of

sasho [114]

Answer:

a)0,45119

b)1

Step-by-step explanation:

For part A of the problem we must first find the probability that both people in the couple have the same birthday (April 30)

$P=\frac{1}{365} *\frac{1}{365}=\frac{1}{133225} \\$

Now the poisson approximation is used

λ=nP=80000*1/133225=0,6

Now, let X be the number of couples that birth April 30

P(X ≥ 1) =

1 − P(X = 0) =

$1-\frac{(e^-0.6)*(-0,6)^{0} }{0!}$

P(X ≥ 1) = 0,45119

B) Now want to find the

probability that both partners celebrated their birthday on th, assuming that the year is 52 weeks and therefore 52 thursday

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Now the poisson approximation is used

λ=nP=80000*52/133225=31.225

Now, let X be the number of couples that birth same day

P(X ≥ 1) =

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6 0

2 years ago

The radius of a cylindrical construction pipe is 1.5ft . If the pipe is 14ft long, what is its volume? Use the value 3.14 for π

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Answer:

Volume of cylinder =989 ft cube

Step-by-step explanation:

<u>Volume of cylinder</u>

Volume V = πr²h

r - radius and h - height

It is given that,

The radius of a cylindrical construction pipe is 1.5ft and

Length of pipe = 14 ft

<u>To find volume of cylinder</u>

Volume V = πr²h

V = 3.14 x 1.5 x1.5 x 14 =989.1 ≈ 989 ft cube

5 0

1 year ago

Dennis is numbering the pages of his book. Page 1 is right hand,page 2 a left hand page and faces 3,a right hand page. Which two

Aleks [24]

I drew it on paper and I got B as the pages that will face each other.

Answer: B. 22 and 23

8 0

1 year ago

The net of a triangular prism is shown below. What is the surface area of the prism? A. 128 cm^2 B. 152 cm^2 C. 176 cm^2 D. 304

shtirl [24]

Answer:

B. 152 cm²

Step-by-step explanation:

To find the surface area using a net, do this:

Take apart the figure. We see that there are three rectangles and two triangles. Find the area of each ( $A=l*w$ ) and then add the values together:

The first rectangle on the left is the same as the one on the right.

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Two measures are 40 cm².

The middle rectangle is:

$6*8=48$

48 cm²

The formula for the area of a triangle is $A=\frac{1}{2}*b*h$ :

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The area of the two triangles is 12 cm².

Now add the values:

$40+40+48+12+12=152$

The area of the figure is 152 cm².

:Done

4 0

2 years ago