What is another word that describes the zeros of a quadratic function.

Answers

Answer 1

A different term for a quadratic function's zeros is "roots." The zeros or roots of a quadratic function are the points on the x-axis where the function meets or crosses it.

They stand in for the x values at which the quadratic function equals zero. Depending on the discriminant of the quadratic equation, the zeros or roots of a quadratic function can either be real or complex integers. The quadratic has two unique real roots if the discriminant is positive. The quadratic has a single real root, also referred to as a double root or repeating root, if the discriminant is zero. The quadratic has two complex roots that can be represented as a + bi if the discriminant is negative.

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Related Questions

Please answer this!!!

Please answer this!!!

Answers

Answer:

so a = -1  b = -1/4  and c = 7

Step-by-step explanation:

-x^2 - 1/4x +7

This is in the form

ax^2 + bx +c

so a = -1  b = -1/4  and c = 7

Answer:

\(a=-1\)

\(b=-\frac{1}{4}\)

\(c=7\)

Step-by-step explanation:

Hope this helps:)

From a temperature of -29.03° F, a solution heats up 26.5° F.
What is the resulting temperature of the solution?
Think about the situation. What operation does the situation require?
Drag a word to the box to correctly complete the statement.

Answers

Answer:

Remember, a positive and a negative while being added is always a negative outcome, so when you add -29.03 + 26.5, you get -2.53

If A and B are mutually exclusive, and if P(A) = 45% and P(B)=42%, what is P(A or B)?
P(A or B)=%

Answers

If A and B are mutually exclusive, then it is impossible for both events to occur at the same time. Therefore, the probability of A or B occurring is simply the sum of the probabilities of A and B.

P(A or B) = P(A) + P(B) = 45% + 42% = 87%

Therefore, the probability of A or B occurring is 87%.

2) Tìm các giá trị của x để biểu thức M = (x + 5).(x + 9)
a) có giá trị dương. b) có giá trị âm

Answers

Answer:

please translated to english

Solve for the indicated variable x/9 - g = a for x

Solve for the indicated variable x/9 - g = a for x

Answers

Answer:

x =  9(a+g)

Step-by-step explanation:

x/9 - g = a

Add g to each side

x/9 - g+g = a+g

x/9 = a+g

Multiply each side by 9

x/9 * 9 = 9(a+g)

x =  9(a+g)

Lines AAA, BBB, and CCC show proportional relationships. Which line has a constant of proportionality between yyy and xxx of \dfrac{5}{4} 4 5 ​ start fraction, 5, divided by, 4, end fraction?

Answers

If lines A, B and C shows proportional relationships, then the line A has a constant of proportionality between y and x is 5

Given the line A, B and C

The constant of proportionality is the ratio of the y coordinates to the x coordinate

k = y /x

Where k is the constant of proportionality

Consider the line A

One point on the line = (1, 5)

Constant of proportionality K = 5/1

= 5

Consider the line B

One point on the line = (3, 5)

Constant of proportionality k = 5/3

Consider the line C

One point on the line = (7, 5)

Constant of proportionality = 5/7

Therefore, the line A has the constant of proportionality of 5

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The given question is incomplete, the complete question is

Lines A, B, and C show proportional relationships. Which line has a constant of proportionality between y and x of 5?

Lines AAA, BBB, and CCC show proportional relationships. Which line has a constant of proportionality

i need help with trigonometric pleasee

i need help with trigonometric pleasee
i need help with trigonometric pleasee
i need help with trigonometric pleasee
i need help with trigonometric pleasee

Answers

Answer:

Step-by-step explanation:

Cos(61) = 0.4848

This is more or less the value of cos(60) which is 1/2

You know you are in trouble when a question says approximately. How approximate is approximately. My guess, and it is a guess, is that this means the nearest degree. That would be 14 degrees. The more exact answer is 13.80 and that zero matters. It is a place holder.

Sin(67) = 0.9205 Again, how approximate is approximate? Try 0.92 as your answer.

Tan (18) = 0.3249 Try tan(18) = 0.3

Agree or disagree with the following statements about using the repeated measures design.
1. The variability of the data tends to increase when using a repeated measures design_________
2. The cost of study will tend to decrease when using a repeated measures design ___________
3. The number of participants will tend to increase when using a repeated measures design ____________
4. The time it takes to run a study will tend to decrease, when running a repeated measures design _____________

Answers

1. The variability of the data tends to increase when using a repeated measures design. Disagree.

The repeated measures design involves collecting data from the same participants under different conditions or time points. This design reduces the variability caused by individual differences, as each participant serves as their own control. Therefore, the variability of the data tends to decrease rather than increase.

2. The cost of the study will tend to decrease when using a repeated measures design. Agree.

In a repeated measures design, data is collected from the same participants multiple times, reducing the need to recruit a large number of participants compared to independent group designs. This reduction in participant recruitment and associated costs can lead to a decrease in the overall cost of the study.

3. The number of participants will tend to increase when using a repeated measures design. Disagree.

A repeated measures design typically requires a smaller number of participants compared to independent group designs. In repeated measures, the same participants are measured multiple times, providing more statistical power and efficiency. Therefore, the number of participants needed may decrease compared to other designs.

4. The time it takes to run a study will tend to decrease when running a repeated measures design. Agree.

Since repeated measures involve collecting data from the same participants multiple times, the time required to run the study can be reduced. Researchers do not need to recruit and coordinate with new participants for each condition or time point, leading to a more efficient data collection process.

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If a = 3 and b = -1, find the value of the following expression.

If a = 3 and b = -1, find the value of the following expression.

Answers

Answer:

The required answer is 54.

Step-by-step explanation:

Given that a = 3 and b = (-1) . And we have to find the value of 2a³ b⁴ .

In such kind of problems , just substitute the given values of a and b to get the required answer .

So here ,

= 2a³ b⁴.

= 2 × (3)³ × (-1)⁴.

= 2 × 27 × 1 .

= 54

9Answer:

54

Step-by-step explanation:

2(3)^3 x (-1)^4

2 x (3^3) x 1

2 x 27 x 1

54

helpppp please i cant figure it out

helpppp please i cant figure it out

Answers

um i think

22

5

15

sorry if its wrong

Provide the answer to question number 5

Provide the answer to question number 5

Answers

The function value that us greater is with estimated value of 96

How to find the estimated value?

The estimated value is the value read from the graph which gives the accumulated value for each of the line

The first line gives an estimated value of

10+14+18+19+28 = 89

The second graph gives gives an estimated value of

17+18+19+20+22 = 96

Therefore comparing the two graphs, the one with 96 has the greater value

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If M=1,000,P=2.25, and Y=2,000, what is velocity? a. 2.25 b. 4.5 c. 2 d. None of the above is true

Answers

Answer:d

Step-by-step explanation:

The answer is d. None of the above is true.

To calculate velocity, we need to use the equation:

Velocity = M * P / Y

Given:

M = 1,000

P = 2.25

Y = 2,000

Plugging in the values:

Velocity = 1,000 * 2.25 / 2,000

Simplifying:

Velocity = 2.25 / 2

The result is:

Velocity = 1.125

Therefore, the correct answer is: d. None of the above is true.

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Maximize Z = 120 x1 + 80 x2, S.T. x1 ≤ 40 x2 ≤ 10 20 x1 + 10 x2 < 500 and x1 ≥ 0, x2 ≥ 0. Use the graphical method to solve this model (show detailed work)

Answers

the optimal solution to maximize Z is x1 = 25 and x2 = 0, with Z = 3000.

To solve the given linear programming model graphically, we need to plot the feasible region and identify the corner points to find the optimal solution. Here's the step-by-step process:

1. Plot the constraints:

  - Plot the line x1 = 40 (vertical line at x1 = 40).

  - Plot the line x2 = 10 (horizontal line at x2 = 10).

  - Plot the line 20x1 + 10x2 = 500 (which can be rewritten as 2x1 + x2 = 50).

  - Shade the feasible region that satisfies all the constraints.

2. Identify the corner points:

  - Determine the coordinates of the corner points where the boundary lines intersect.

3. Evaluate the objective function:

  - Calculate the value of the objective function Z = 120x1 + 80x2 for each corner point.

4. Determine the optimal solution:

  - Select the corner point that maximizes the objective function Z.

Here's the graphical representation of the feasible region:

      |

 40   |           C

      |          /

      |         /

      |        /

      |       /

      |      /

      |     /    Feasible Region

 10   |_____/_________________

      0   10  20  30  40  50

            0`

The corner points of the feasible region are:

A: (0, 0)

B: (0, 10)

C: (25, 0)

D: (20, 5)

Now, we evaluate the objective function Z = 120x1 + 80x2 for each corner point:

Z(A) = 120(0) + 80(0) = 0

Z(B) = 120(0) + 80(10) = 800

Z(C) = 120(25) + 80(0) = 3000

Z(D) = 120(20) + 80(5) = 2400

From the above calculations, we can see that the maximum value of Z occurs at point C: (25, 0).

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Choose the equation of a line parallel to the given equation and passing through a point P. x + 2 y =5 ; ( 2,-5)

A.) Y = 2 x -4
B.) Y = -1/2x -1
C.) Y = -1/2x -4
D.) Y = -2 x -1

Answers

Answer:

The correct answer is C: Y = -1/2x - 4.The slope of the given line is -1/2, so any line that is parallel to it will have the same slope. In order to find the equation of a line with the same slope that passes through the point (2, -5), we can use the point-slope form of the equation of a line.The point-slope form of the equation of a line is:y - y1 = m(x - x1)where m is the slope of the line, and (x1, y1) is a point on the line.In this case, we can plug in the values m = -1/2, x1 = 2, and y1 = -5 to get:y + 5 = -1/2(x - 2)Solving for y, we get:y = -1/2x - 4Therefore, the equation of the line that is parallel to the given line and passes through the point (2, -5) is Y = -1/2x - 4.

What are the ways to determine if a relation is a function? Select EACH correct
answer.

What are the ways to determine if a relation is a function? Select EACH correctanswer.

Answers

Answer:

Step-by-step explanation:

What are the ways to determine if a relation is a function? Select EACH correctanswer.
Here hope helps sry if wrong
What are the ways to determine if a relation is a function? Select EACH correctanswer.

At 8:00 a.m., there were t inches of snow on the ground. At 5:00 p.m., there were 3t inches of snow on the ground. How many more inches of snow were on the ground at 5:00 p.m. than at 8:00 a.m. if there were 12 inches of snow on the ground at 5:00 p.m.?

Answers

we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

How many more inches of snow were on the ground at 5:00 p.m. than at 8:00 a.m.?

We know that at 8:00 a.m. there were t inches of snow in the ground.

At 5:00 p.m. there were 3t inches of snow in the ground.

Then the difference between the heights of the snow is:

3t- t = 2t

And we know that at 5:00 p.m. there were 12 inches of snow then we can solve the linear equation for t:

3t = 12in

t = (12in)/3 = 4 in

Replacing that in the difference of heights:

2t = 2*4in = 8in

From this, we conclude that at 5:00 p.m. there are 8 more inches of snow than at 8:00 a.m.

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Find the next two terms in the sequence. Can you please also tell me how you got the answer?


2, 9, 28, 65

Answers

2 I think is that I’m not sure

\(\begin{array}{cccccccccccc} &&&&&&&&&\downarrow &&\downarrow \\ value&\stackrel{1^3+1}{2}&&\stackrel{2^3+1}{9}&&\stackrel{3^3+1}{28}&&\stackrel{4^3 + 1}{65}&&\stackrel{5^3 + 1}{126}&&\stackrel{6^3 + 1}{217} \\\cline{1-12} term&1&&2&&3&&4&&5&&6 \end{array}\)

what is the general form of the regression equation?

Answers

The general form of the regression equation is y = a + bx

A regression equation is a statistical model used to identify the relationship between a dependent variable (Y) and one or more independent variables (X) in a dataset. The regression equation is used to make predictions by identifying how a change in one variable affects the other variables. The general form of the regression equation is y = a + bx, where 'y' is the dependent variable, 'x' is the independent variable, 'a' is the intercept value, and 'b' is the slope value.

Therefore, the general form of the regression equation is y= a+bx

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Order the numbers from least to greatest
1. 125%, 6/5, 1.22
2. 42%, 0.43, 17/40

Answers

Answer:

65

Step-by-step explanation:

im sorry i couldnt help you have a nice day though. :)

1. 6/5, 1.22, 125%
2. 42%, 17/40, 0.43


Create and solve the EQUATION. 4. The sum of seven times a number and 16 is 163.

Answers

An equation for this statement "The sum of seven times a number and 16 is 163," is 7n + 16 = 163.

The solution is 21.

How to determine the two unknown numbers?

In order to solve this word problem, we would assign a variable to the unknown number, and then translate the word problem into an algebraic equation as follows:

Let the variable n represent the unknown number.

Based on the statement "The sum of seven times a number and 16 is 163," we can logically deduce the following algebraic equation;

7n + 16 = 163

7n = 163 - 16

7n = 147

n = 147/7

n = 21.

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determine whether the data described are qualitative or quantitative. the horsepower of motorcycles in a dealership.

Answers

The data described, specifically the horsepower of motorcycles in a dealership, is quantitative data. Quantitative data is numerical in nature and represents a measurable quantity or attribute. In this case, the horsepower values assigned to motorcycles can be measured and compared using numeric values.

Quantitative data represents numerical values that can be measured or counted. It provides a quantitative measurement or description of a particular attribute or characteristic. In the case of the horsepower of motorcycles in a dealership, the data is quantitative because it involves numerical values that quantify the power output of the motorcycles.

Horsepower is a unit of measurement used to indicate the power or performance of an engine, including that of motorcycles. It is typically measured using standardized tests or calculations. The horsepower values assigned to motorcycles in the dealership can be expressed as numerical quantities, such as 50 horsepower, 100 horsepower, or 150 horsepower.

Quantitative data allows for meaningful mathematical operations and comparisons. For example, you can calculate the average horsepower of all the motorcycles in the dealership, compare the horsepower of different models, or analyze the distribution of horsepower across the available motorcycles.

In summary, the horsepower of motorcycles in a dealership represents quantitative data because it involves numerical values that can be measured, compared, and analyzed.

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Please help me with these questions

Please help me with these questions

Answers

The values of x and y to make the polygon a parallelogram are given as follows:

x = 21.y = 20.

Then the length of VT is given as follows:

VT = 150.

How to obtain the values of x and y?

In a parallelogram, the diagonals are congruent.

Then we have that RM = MW, hence the value of x is obtained as follows:

4x = 84

x = 84/4

x = 21.

We also have that VM = MT, hence the value of y is obtained as follows:

3y + 15 = 75

3y = 60

y = 60/3

y = 20.

Then the length of VT is obtained as follows:

VT = 2VM

VT = 150.

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whats a third of 83 1/2

Answers

Answer:

27.83

The 3 is repeating

Step-by-step explanation:

27.83333333333 but as a fraction 27 5/6.

Ori needed at least $1.47 in postage to mail an envelope to his cousin overseas. If x represents the number of $0.44 cent stamps he has and y represents the number of $0.10 cent stamps he has, the inequality representing the number of stamps he can use to mail the envelope is 0.44x+0.10y≥1.47.

If Ori uses all 3 of the $0.44 cent stamps he has, what is the minimum number of $0.10 stamps he needs to use?

1
2
3
5

Answers

The minimum number of $0.10 stamps he needs to use is 1 stamp.

What is unitary method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Ori needed at least $1.47 in postage.

x represents the number of $0.44 cent stamps.

and, y represents the number of $0.10 cent stamps.

Cost 3 stamps

= 3 x 0.44

= 1.32

So, price of $0.10 stamps

= 1.47 - 1. 32

= $0.15

So, number of $0.10 stamps he needs to use

= 0.15/ 0.10

= 1.5

= 2 or 1 stamps

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Answer:

A or 1

Step-by-step explanation:

Write a story problem to go with the multiplication problem. 5x 3/4 Then solve the problem.

Answers

Story : Your mother just bought you 5 pizzas to celebrate your A+ grade :). And you decided to do a challenge your mother told you to : Every minute, you will have to eat 3/4 of a pizza. After 5 minutes, how much of the 5 pizzas did you eat?


Answer : 5 x 3/4 = 15/4

Find the measure of the interior angles
73⁰ + x⁰ + (x-11)⁰

Answers

Answer:

3

Step-by-step explanation:

A cylinder has a height of 8 inches and a radius of 3 inches. Find the surface area of the cylinder. Express your answer in terms of π .

Answers

Answer:

A≈207.35in²

r Radius

3

in

h Height

8

in

h

r

h

r

r

h

A

b

Solution

A=2πrh+2πr2=2·π·3·8+2·π·32≈207.34512in²

Step-by-step explanation:

Answer:

\(66\pi m^{2}\)

Step-by-step explanation:

A ladder is leaning against a wall. The foot of the ladder is 6.5 feet from the wall . The ladder makes an angle of 74° with the level ground . How high in the wall does the ladder reach .? Show a diagram.

Answers

Answer:6.25

Step-by-step explanation:

Let the height of the wall be h

Sin 74=h/6.5

h =6.5sin 74

h=6.25

i'll give brainliest to whoever can solve this!

i'll give brainliest to whoever can solve this!
i'll give brainliest to whoever can solve this!

Answers

Savings is proportional to number of months by equation y = 15x

Rate constant for the relationship is k = 15

What is proportional relationship?

A proportional relationship is a relationship between two variables in which their ratios are equal. In other words, in a proportional relationship, one variable is always a constant value times the other. This constant is called the "rate constant".

If a and b are proportional to each other

then, a/b = k , here k is rate constant

Given,

graph of Miguel's savings is shown as straight line.

Number of months is denoted by x

Savings is denoted by y

Points denoted on graph are (2, 30) and (4 , 60)

Equation of the line

y - y₁ = [(y₂ - y₁)/(x₂ - x₁)] (x - x₁)

y - 30 = [(60 - 30)/(4 - 2)] (x - 2)

y - 30 = [(30)/(2)] (x - 2)

y - 30 = 15 (x - 2)

y - 30 = 15x - 30

y = 15x

Savings is proportional to number of months.

y/x = 15

Rate constant k = 15

Hence, by equation y = 15x, savings is proportional to number of months.

k = 15 is rate constant.

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Can someone help me? I dont really know how to do this?​

Can someone help me? I dont really know how to do this?

Answers

Answer:

54

Step-by-step explanation:

x+2x+2x=5x

90/5=18

18*3=54

Answer:

The answer is 54.

Step-by-step explanation:

Ok buddy

‣Remember that a right angle equals 90 degrees.

‣The numbers lie on a right angle.

‣So watchya gonna do is combine the like terms.

\(x + 2x + 2x = 5x\)

‣In an equation, that finna look like:

\(5x = 90\)

‣Solve that equation

\( \frac{5x}{5} = \frac{90}{5} \\ \\ x = 18\)

‣Therefore, the value of x is 18.

‣We trynna find 3x so plug it.

\(3x \\ 3(18) \\ 54\)

‣That fr is the answer, 54.

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