Consider the quadratic polynomial ax 2 bx c. suppose the coefficients are given by rolling a fair die three times. what is the probability that the roots of the polynomial are equal?

Answer:

(2 × 3 × 3) and (2 × 2 × 2 × 3).

The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis.

A mathematical phrase in which the sides are not equal is referred to as being unequal. In essence, a comparison of any two values reveals whether one is less than, larger than, or equal to the value on the opposite side of the equation.

Given the inequality,

y ≤ −x² + 2x

The inequality consists of two functions,

y ≤ -x² and y ≤ 2x

Now if we plot both inequalities

x = 0 ⇒ y = 0

And,

2x ≤ -x²

-x²/x ≥ 2

x ≤ -2

So,

y ≤ 2(-2)

y ≤ -4

If we plot both as shown below then the bounded region is obtained towards the right therefore the solution will be greater than this.

Therefore (x,y) ≥ {(0,0) and (-2,-4)} will be solution.

Hence "The solution of the given inequality y ≤ -x² + 2x is (x,y) ≥ {(0,0) and (-2,-4)} obtained by plotting graph between axis".

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Answer:

a: 0.5 + 0.3 = 0.8

b: 2.7 + 28.2 = 30.9

c: 3.1 + 2.4 + 9.9 = 15.4

d: 15.2 + 1.4 + 0.8 = 17.4

e: 39.2 + 2.5 + 0.8 = 42.5

Step-by-step explanation:

I did the assignment and I got it right

Minimum number of meeting required is 5 meetings required

As mentioned, if there is an edge between two committees, both the committee has atleast one member in common.

So if we consider two committees with atleast one member in common, i.e. we select two different vertices with an edge in between, the common member(s) in the committee can discuss and exchange ideas between the committees and thus they don't require a meeting to be scheduled.

So looking at the graph we can say that we only need to schedule meetings between committee with no edge connecting them.

6C2 - |E| or 15 - 10

= 5 meetings

Committees keep an eye on ongoing government activities, spot problems that warrant legislative scrutiny, collect and assess data, and suggest courses of action to the Senate.

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A relation between sets is referred to as a function when there is exactly one output for each input.

To write the equation y = ax + b in function notation, substitute f(x) for y

The only true statement is the last one. A function assigns exactly one output value to each input value. The domain is the set of all input, or x-values. The range is the set of all output, or y-values.

y=ax+b can be written in function notation by replacing y with f(x).

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Solving the equation s = zr - 6zc^4 for z would give you: [tex]z = \frac{s}{r - 6c^4}[/tex].

Given the equation, s = zr - 6zc^4, to solve the equation for z, follow the steps below:

We have to isolate the variable "z" to one side of the equation if we are to solve the equation for z.

s = zr - 6zc^4

Factor out variable z

s = z(r - 6c^4)

Divide both sides of the equation by (r - 6c^4)

s/(r - 6c^4) = z(r - 6c^4) / (r - 6c^4)

s/(r - 6c^4) = z

[tex]z = \frac{s}{r - 6c^4}[/tex]

Therefore, solving the equation s = zr - 6zc^4 for z would give you: [tex]z = \frac{s}{r - 6c^4}[/tex].

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Answer:

10.97 mm

Step-by-step explanation:

Hello!

First, let's construct an altitude, as shown in the picture below. An altitude is a height from one point to another side, forming a 90° angle at that intersection.

The length of the altitude is the same as the missing length, they are both parallel.

The length from the altitude to the slant line would be 6, as found by subtracting 8 from 14.

If you look closely, we can see a right triangle, and 12.5 mm is the hypotenuse. We know the measure for another side, and we can solve for the altitude using the Pythagorean Theorem: [tex]a^2 + b^2 = c^2[/tex], a and b are legs, and c is the hypotenuse.

In this case, 6 and the altitude are legs.

The altitude is around 10.97, so the missing length will also be 10.97 mm.

Answer:

False

Step-by-step explanation:

Distribute, do the math, and evaluate the resulting equality/statement to see if it is true

10 - 14 = 1

-4 = 1

That is not true so the answer is false

Answer:

x = 13

Step-by-step explanation:

23 - 9 = 14

14 / 2 = 7

So both sides should equal to 7.

Set the two expression equal to each other and solve.
x - 6 = 2x - 19

move the 6 to the other side by adding

x = 2x - 19 + 6

x = 2x - 13

then move 2x to the other side by subtracting

x - 2x = -13

-x = -13

divide both sides by -1 to get x

x = -13/-1

x = 13

Check.
plug 13 in for x

x - 6

13 - 6 = 7

2x - 19

2(13) - 19

26 - 19 = 7

so both expressions are equal to each other now and

7 x 2 = 14

14 + 9 = 23

thus x = 13

The  unit rate in minutes per meter is 28.8 minutes per meter when  David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes

The given Depth of the aquarium  = 3/8 meters

Time taken to fill the aquarium  = 3 3/5 minutes

To find the  the unit rate in minutes per meter, we need to divide the time taken to fill the aquarium by the depth of the aquarium

So, Unit rate in minutes per meter = 3 3/5minutes ÷ 3/8 meters

                                                            = 18/5 ÷ 3/8

                                                              = 18/5 ×8/3

                                                             = 144/15

                                                             = 28.8 minutes per meter

Hence, the unit rate in minutes per meter is 28.8 minutes per meter when  David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes

The correct question is David fills an aquarium to a depth of 3/8 meters in 3 3/5 minutes. What is the unit rate in minutes per meter?

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Answer:

10√2

or in decimal form:

14.1

Hope this helps! <3

The slope of line d is m =7/4.

Given c points (5,1) and (9,8).

and the d line is parallel to line c.

We have to find the slope of d.

The slope formula is to determine a line's slope or steepness, use the slope formula. By calculating the ratio of the change in the y-axis to the change in the x-axis, it may be used to calculate the slope of any line. A line's slope is determined by how its "y" coordinate changes in relation to how its "x" coordinate changes.

Slope m = rise/run =[tex]=\frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]

Here, [tex](x_{1} ,y_{1} )=(5,1) and (x_{2} ,y_{2} )=(9,8)[/tex]

We get slope by substitute this points in m value.

m=(8-1)/(9-5)

m=7/4

Therefore, the slope m=7/4.

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16th percentile of corn yield for counties in iowa is 153.4.

In statistics, a score below which a certain percentage of scores (k) in a frequency distribution falls is known as a k-th percentile, whereas a score at or below which a given percentage falls is known as a k-th centile (inclusive definition). The score below which (exclusive) or at which (inclusive) 50% of the scores in the distribution may be found is known as the 50th percentile (the median), for instance. For instance, if the input scores are related to human weight, the corresponding percentiles will be represented in kilograms or pounds. Percentiles are expressed in the same unit of measurement as the input scores.

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The height of the box is 12cm, having volume = 1200cm ³ .

A triangular prism's volume is the area that it takes up in all three dimensions. A prism is a solid object that has the same cross-section throughout its entire length, equal bases, and flat, rectangular side faces. Prisms can be divided into many categories and given different names depending on the form of their bases. A triangular prism has three rectangular lateral sides and two identical triangular bases.

The formula yields the volume of a triangular prism.

Volume of triangular prism  = 1/2lwh

Where,

w = width

h = height

l = length.

We may determine the height by filling in the specified measurements.

1200cm ³ = 1/2 × (20 cm) × (10 cm) × h

h = (1200 cm³) / (100 cm²))

h = 12 cm

The box has a 12 centimeter height.

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Answer:

3.2 miles

Step-by-step explanation:

Yesterday: 2.35 miles

Today: 2.45 miles

Total of today and yesterday: 2.35 miles + 2.45 miles = 4.8 miles

Goal: 8 miles

Number of miles left to do:

8 miles - 4.8 miles = 3.2 miles

Answer: 3.2 miles

Answer:

42

Step-by-step explanation:

1/3 * x = 14

x/3=14

3*x/3=14*3

x=42

Answer:

1/8

Step-by-step explanation:

5/4   divided by   10/1   is the same as  

    5/4   times  1/10

       5/4 *  1/10 =  5/40    = 1/8

Answer: 1/8

Step-by-step explanation:

[tex]\displaystyle\\\frac{\frac{5}{4} }{10} =\\\\\frac{5}{4}:10=\\\\\frac{5}{4} *\frac{1}{10}=\\\\ \frac{5*1}{4*10}=\\\\\frac{5}{4*5*2} =\\\\\frac{1}{4*2}=\\\\\frac{1}{8}[/tex]

The statement B is correct, i.e., The result of the survey is statistically significant.

The probability that the difference in conversion rates between a given variation and the baseline is not the result of random chance is known as statistical significance.

Given:

To find: WHich of the given statements is correct?

Finding:

According to the given data,

Hence, the statement B is correct, i.e., The result of the survey is statistically significant.

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(COMPLETE QUESTION:

A school authority claims that the average percentage marks of students is 68. A researcher has taken a well-designed survey and his sample mean is 64.5 and sample standard deviation is 2. The sample size is 300.Which statement is correct?

a.)

The difference exists due to chance since the test statistic is small.

b.)

The result of the survey is statistically significant.

c.)

The sample size should be much more.

d.)

The result of the survey is not statistically significant.)

Answer:

So, when talking about continuous functions, we're dealing with a function/graph that goes on and on to infinity. It never ends. In a case like this, we must define domain and range. Domain is all input values, while range goes the same but it's the output values. With this information, the domain and range on a continues graph would most likely be all real numbers due to the fact of the graph never ending, and that means the graph would have every input value thus making its domain/range infinite as well.

➲ Hope this helps.

In the given statement is :

Of the three types of general survivorship curves, which can be most likely expected to live closest to its maximum life expectancy?

In this case, In Type I Curve, organisms tend to live up to maximum life expectancy. They survive their adulthood and die when they become elderly. Humans come under this category.

Survivorship Curve:

The Survivorship Curve is used to represent the number of population that are expected to live to a certain age. There are three types of survival curves they are Type I, Type II, Type III. Each curve will show the life expectancy of a particular group of organisms.

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15m/s * 1km/1000m*60s/1 min*60 min/1hr=

You do the calculation.

Here are the conversions used in the conversion.

1km = 1000 m, 60 seconds = 1 minute, 60 minutes = 1 hour.

When you set up the problem the 15 meters is in the numerator and 1 second is in the denominator. To convert the 15 meters to km the next conversion factor needs to have 1km in the numerator and 1000 meters in the denominator. Now the 15 m will be divided by 1000 m which cancels the meters and leaves km.

The seconds in 15 m/s is in the denominator so to convert seconds to hours multiply by 60 seconds placing it in the numerator over 1 minutes. Use the same idea to set up the conversion from minutes to hours.

Practice this conversion. It is a fundamental conversion that any middle school student should know how to do.

Answer:

44

Step-by-step explanation:

(5)(4)(2) + 4 Calculate the product

40 + 4 Add

= 44

Answer: its 44 :D

have a great day young boy

Answer:

Step-by-step explanation:

Answer is 5

2 + 5  = 7

3 + 5     8

Answer: 68%

Step-by-step explanation:

170/250=

17/25=

0.68=

0.68 * 1=

0.68 * 100%=68%

4ft = 48in or 4 feet is equivalent to 48 inches.

In mathematics, conversion is the process of changing the value of one form or unit to another. It can be changing ones unit of length, weight, volume or even currency to another.

A conversion factor is a number used to change one set of units to another, either by multiplying or dividing.

The sentence states an equality between units of length: feet and inches.

From there, we can say that we are asked how many inches are there in 4 feet

Converting feet to inches, we must use the conversion

1 foot = 12 inches

4ft = 4 (12 inches)

4ft = 48in

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Answer:

◉ 70/9

Step-by-step explanation:

9(x - 9) = -11

9x - 81 = -11

9x = 70

x = 70/9

On a number line where A is at 5 and B is at 50, and X is the midpoint and T is somewhere between A and B, the coordinates of point T is 15 and the distance of XB is 22.5.

A number line is straight line divided by equal measures that serves as a visual representation of the real numbers.

If on a number line, a is at 5 and b is at 50, then AB = 50 - 5 = 45.

If point X is the midpoint of A and B, then X divides the distance of A to B into two equal parts.

let n = AX = XB

AB = AX + XB

45 = n + n

45 = 2n

n = 22.5

AX = XB = 22.5

If point T is 2/3 of the way from X to B, then

T = 2/3XB

T = 2/3(22.5)

T = 15

Hence, the coordinates of T is at 15 and the distance of XB is 22.5.

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