thomas is sketching the graph of a quadratic function. he is asking his friends about how many x-intercepts his function can have. here is the feedback from his friends.
Allison says the graph can have 1 x-intercepts
Richard says the graph can have no x-intercepts
Linda says the graph must have two x-intercepts
Hope says the graph can have, at most 1 x-intercepts
How many of Tom's friends are right and why?

A: 0
B: 1; Linda is right because a quadratic graph has exactly two x-intercepts
C: 2; Allison, Richard, and Hope are right because the graph can have 0,1, or 2 x-intercepts.
D: 4; They're all right because the graph can have varying number of x-intercepts

Answers

Answer 1

Answer:

C: 2; Allison, Richard, and Hope are right because the graph can have 0,1, or 2 x-intercepts.

Answer 2

Allison, Richard, and Hope are right because the graph can have 0, 1, or 2 x-intercepts.

The correct option is C.

What is a function?

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

Allison is correct because a quadratic function can have one x-intercept if its vertex is on the x-axis.

Richard is correct because a quadratic function can have no x-intercepts if its vertex is above the x-axis.

Linda is incorrect because a quadratic function can have two x-intercepts, but it is not required to have them. It is possible for the vertex of a quadratic function to be on the x-axis, in which case it would have one x-intercept.

Hope is correct because a quadratic function can have at most one x-intercept if its vertex is below the x-axis.

Therefore,

Two of Thomas's friends (Allison and Hope) are correct in their statements.

Learn more about functions here:

https://brainly.com/question/28533782

#SPJ3


Related Questions

Find the volume in cm³ of a length of pipe which has these measurements.

Volume of a cylinder = πr²h
π = 3.14

Answers

What are the measurements???

help me fast plsssdsssssss​

Answers

rs. 74 aka maple kalamazoo brown brown and brown brown sugar brown brown

i don’t understand the whole thing i need help How many plants are shorter than 9 inches?

Answers

Answer:

9 plants

Step-by-step explanation:

Since we are trying to find the number of plants that are shorter than 9 inches, we will look at the plants that are 2, 3, 4, 5, 6, 7, and 8 inches tall.

Each x counts as a plant

# of 2 inch plants: 1

# of 3 inch plants: 1

# of 4 inch plants: 4

# of 5 inch plants: 1

# of 6 inch plants: 1

# of 7 inch plants: 1

# of 8 inch plants: 0

Add up the number of plants:

1 + 1 + 4 + 1 + 1 + 1 + 0 = 9

Answer:

9 plants

Hope this helps!

If y=13 and x=y/2, solve
(5y) + (6x)

Answers

Answer:

104

Step-by-step explanation:

(5y) + (6x)

Let y = 13

x = y/2 = 13/2

(5*13) + (6*13/2)

65+39

104

Answer:

104

Step-by-step explanation:

See image below:)

A hot air balloon is cruising at an altitude of 120 meters above the ground when it begins its descent. The balloon descends at a rate of 4.5 meters per minute. Explain how you would set up an equation to model when the balloon will reach an altitude of 75 meters above the ground. Then solve the equation and check your solution.


PLEASE HELP ASAP

Answers

Answer:

y = - 4.5x + 120

75 = - 4.5x + 120

x = 10 minutes

Step-by-step explanation:

To model the scenario described above, we use the linear equation model ;

Where ;

y = bx + c ; c = intercept ; b = slope ; y = altitude at time x

The initial altitude of the hot air Ballon here is the intercept = 120 meters

The descent rate = 4.5 m per minute is the slope ; since it is descent, then the slope will be negative as the altitude will reduce.

Hence, we have ;

y = - 4.5x + 120

Hence, the time altitude will be 75 cabnbe modeled as :

y = 75

75 = - 4.5x + 120

75 - 120 = - 4.5x

- 45 = - 4.5x

x = 10 minutes

Simplify 6-(-14)+(-2)​

Answers

Answer:

18

Step-by-step explanation:

when there is a - in front of an expression in parentheses, change the sign of each term in the expression

6+14+(-2)

then calculate the sum or difference

6+14-2= 18

in a company ther are bell ring after interval of 3,5 and 15 minutes if they ring together at 8:00 AM when they ring together next

Answers

Answer:

8:15 AM

Step-by-step explanation:

This is an interval question so we use LCM to solve such kind of questions

LCM of 3,5,15=15

So after 15 minutes it will ring again

So at 8:15 AM it will ring

Please help me with this question

Answers

9514 1404 393

Answer:

  D(1, 2)

Step-by-step explanation:

The ordered pair is always (x-coordinate, y-coordinate).

The x-coordinate is the distance to the right of the y-axis. (It is negative for points left of the y-axis.) Here, point D lies 1 unit right of the y-axis, so its x-coordinate is 1.

The y-coordinate is the distance above the x-axis. (It is negative for points below the x-axis). Here, point D lies 2 units above the x-axis, so its y-coordinate is 2.

The ordered pair describing the location of D is ...

  (x-coordinate, y-coordinate) = (1, 2)

pls pls pls pls help :( im really bad at math and im trying so hard not to fail... i will mark brainliest!

Answers

Answer:

142

Step-by-step explanation:

Suppose that diameters of a new species of apple have a bell-shaped distribution with a mean of 7.43cm and a standard deviation of 0.35cm. Using the empirical rule, what percentage of the apples have diameters that are between 7.08cm and 7.78cm

Answers

Answer:

Approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean of 7.43cm, standard deviation of 0.35cm.

What percentage of the apples have diameters that are between 7.08cm and 7.78cm?

7.43 - 0.35 = 7.08 cm.

7.43 + 0.35 = 7.778 cm.

Within 1 standard deviation of the mean, so approximately 68% of the apples have diameters that are between 7.08cm and 7.78cm.

How much water must be added to 12 quarts of a 10% solution of salt and water to reduce to a 6% solution?

Answers

Answer:

Let x = quarts of water to be added

so then

12* 10% + x * 0% = (12+x) * 6% (this says 12 quarts of 10% solution + x quarts of 0%(water) equals the new total (12+x) of a 6% solution

1.2 = .72 + .06x

.48 = .06x

x = 8 (quarts of water to be added)

Step-by-step explanation:

Hope this helps

Which of the following is not a characteristic of a regular polyhedron?


A. It is also considered to be a convex polyhedron.
B. The number of edges meeting at each vertex is the same for all vertices.
C. All of the faces are congruent.
D. It is not a Platonic solid.

20 Pts so 10 for 2 people who answer it​

Answers

Answer:

Its not a platonic solid

Step-by-step explanation:

5. What is the volume of a cube with a side that is 7 ft. long

Answers

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

[tex]\huge\underline{\sf{\red{Problem:}}}[/tex]

5.) What is the volume of a cube with a side that is 7 ft. long.

[tex]\huge\underline{\sf{\red{Given:}}}[/tex]

[tex]\quad\quad\quad\quad\sf{v = volume}[/tex]

[tex]\quad\quad\quad\quad\sf{s = side}[/tex]

[tex]\quad\quad\quad\quad\sf{s = 7ft}[/tex]

[tex]\huge\underline{\sf{\red{Fomula:}}}[/tex]

[tex]\quad\quad\quad\quad \boxed{\sf{v = {s}^{3} }}[/tex]

[tex]\huge\underline{\sf{\red{Solution:}}}[/tex]

[tex]\quad\quad\quad\quad {\sf{⟶v = {s}^{3} }}[/tex]

[tex]\quad\quad\quad\quad {\sf{⟶v = {(7)}^{3} }}[/tex]

[tex]\quad\quad\quad\quad {\sf{⟶v = 7×7×7 }}[/tex]

[tex]\quad\quad\quad\quad {\sf{⟶v = 343 }}[/tex]

[tex]\quad\quad\quad\quad ⟶\boxed {\sf{v = 343 \: {ft}^{3} }}[/tex]

[tex]\huge\underline{\sf{\red{Answer:}}}[/tex]

[tex] \huge\quad\quad \underline{\boxed {\sf{ \red{v = 343 \: {ft}^{3} }}}}[/tex]

[tex]\underline \bold{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }[/tex]

#CarryOnLearning

[tex]\sf{\red{✍︎ C.Rose❀}}[/tex]

mainly an addition to the terrific reply above, which is absolutely correct

Check the picture below.

A hotel spent $504 on new hair dryers. The hair dryers cost $8 each. The hotel has 6 floors with the same number of rooms on each floor. If every room gets a new hair dryer, how many hair dryers will be left over?

Answers

Answer:

3

Step-by-step explanation:  6  11 10  48

spent $504

hair dryers cost $8 each

6 floors with the same number of rooms on each floor.

Money spent / hair dry cost  =  number of hair dryers bought

number of hair dryers   = number of floors  =  hair dryers per floor Plus any remainder

    504 /  8  =  63 hair dryers  

    63 / 6   =    10.5     so 10 rooms per floor = 60 hairs dryers with 3 left over

Answer:

well IMA just copy the other guy and say 3

Step-by-step explanation:

just cause it is.

Based on the cumulative frequency histogram, determine the number of swimmers who swam between 200 and 249 yards. Determine the number of swimmers who swam between 150 and 199 yards. Determine the number of swimmers who took the swim test.

Answers

Answer:

[tex](a)\ 200 \to 249 =3[/tex]

[tex](b)\ 150 \to 199 = 0[/tex]

[tex](c)\ Total = 20[/tex]

Step-by-step explanation:

Given

See attachment for cumulative frequency histogram

Solving (a): Swimmers between 200yd and 249yd

To do this, we simply read the data from the 0 mark

From the histogram, we have:

[tex]0 \to 249 = 15[/tex]

and

[tex]0 \to 199 = 12[/tex]

So:

[tex]200 \to 249 = 0 \to 249 - 0 \to 199[/tex]

This gives:

[tex]200 \to 249 = 15-12[/tex]

[tex]200 \to 249 =3[/tex]

Solving (b): Swimmers between 150yd and 199yd

To do this, we simply read the data from the 0 mark

From the histogram, we have:

[tex]0 \to 149 = 12[/tex]

and

[tex]0 \to 199 = 12[/tex]

So:

[tex]150 \to 199 = 0 \to 199 - 0 \to 149[/tex]

This gives:

[tex]150 \to 199 = 12-12[/tex]

[tex]150 \to 199 = 0[/tex]

Solving (c): Total swimmers

To do this, we simply read the longest bar of the histogram

[tex]Longest = 20[/tex]

Hence:

[tex]Total = 20[/tex]

in a random sample of 28 people, the mean commute time to work was 31.2 minutes and the standard deviation was 7.3 minutes. assume the population is normally distributed and use a t-distribution to construct a 99% confidence interval for the population mean u. What is the margin of error of u

Answers

Answer:

The margin of error of u is of 3.8.

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

Step-by-step explanation:

We have the standard deviation for the sample, which means that the t-distribution is used to solve this question.

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 28 - 1 = 27

99% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 27 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.99}{2} = 0.995[/tex]. So we have T = 2.7707

The margin of error is:

[tex]M = T\frac{s}{\sqrt{n}} = 2.7707\frac{7.3}{\sqrt{28}} = 3.8[/tex]

In which s is the standard deviation of the sample and n is the size of the sample.

The margin of error of u is of 3.8.

The lower end of the interval is the sample mean subtracted by M. So it is 31.2 - 3.8 = 27.4 minutes

The upper end of the interval is the sample mean added to M. So it is 31.2 + 3.8 = 35 minutes

The 99% confidence interval for the population mean u is between 27.4 minutes and 35 minutes.

A segment has endpoints A and C. What are two names for the segment?

Answers

Answer:

Ac CA is your answer

Step-by-step explanation:

MARK ME AS BRAINLIEST

AC and CA

Step-by-step explanation:

[tex]line \: which \: has \: endpoint \: \\ \\ A \: and \: C \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \\ it \: shows \: that \: line \: starts \: from \: \\ \\ A \: \: and \: ends \: with \: C \\ \\ so \: \: its \: name \: is \: \: \: \: AC \\ \\ hope \: it \: is \: helpful \: to \: you....[/tex]

Which number line shows the solutions to 1/2 x -2 > 0

Answers

Answer:

The top choice

Step-by-step explanation:

1/2 x -2 > 0

Add 2 to each side

1/2 x -2+2 > 0+2

1/2 x > 2

Multiply each side by 2

1/2 x *2 > 2*2

x > 4

There is an open circle at 4 and the line goes to the right

Answer:

It is the first option everything to the right of 4.

Step-by-step explanation:

What is the MAXIMUM of the data set: 24, 25, 29, 30, 31, 31, 32, 34, 34?​

Answers

the maximum of the data set is 34

A random sample of items is selected from a population of size . What is the probability that the sample mean will exceed if the population mean is and the population standard deviation eq

Answers

Answer:

The probability is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which X is the value we want to find the probability of the sample mean exceeding, [tex]\mu[/tex] is the population mean, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

Central Limit Theorem for the sample mean:

Sample of size n, and thus:

[tex]s = \frac{\sigma}{\sqrt{n}}[/tex]

[tex]Z = \frac{X - \mu}{s} = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex]

Probability of the sample mean exceeding a value:

The probability is 1 subtracted by the p-value of [tex]Z = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}[/tex], in which X is the value we want to find the probability of the sample mean exceeding, [tex]\mu[/tex] is the population mean, [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

I need the answer to #3

Answers

Answer:

I think its b but im not sure

Step-by-step explanation:

There were 6 dogs at the dog park last Saturday, and 2 of them were German shepherds. Considering this data, how many of the next 12 dogs to arrive at the park next Saturday should you expect to be German shepherds?

Answers

Answer:

Its 4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

use the divergence theorem to calculate the surface integral, calculate the flux of F across the oriented surface S, F=(x^3+y^3)i+(y^3+z^3)j+3y^2zk, S is the surface of the solid bounded by the paraboloid z=1-x^2-y^2 and the x y plane
please help me in this question

Answers

Baba is the one who is in love the fact that I am in eeevery in love hhshdgdvvsfgwjwjwjwuwuwiwiwiwiwiuwuwuwuwjwjhebe

Help with this Geometry question please

Answers

Answer:

Angle A = [tex]77^{o}[/tex]

Step-by-step explanation:

cos A = adjacent / hypotenuse

cos A = 18/82

cos A = 0.22

A = [tex]cos ^{-1}[/tex]0.22

A = [tex]77^{o}[/tex]

The graphs below show measurements from cubes
with different side lengths.
Which pairs of variables have a linear relationship?
Select two options.
24
side length and perimeter of 1 face
20
perimeter of 1 face and area of 1 face
16
Perimeter of 1 Face
surface area and volume
A
area of 1 face and surface area
side length and volume
1
2
3
4
5
6
Side Length
40
36
32

Answers

Answer:

the first one and the third one

Step-by-step explanation:

Answer:

Side length and perimeter of 1 face

Area of 1 face and surface area

Step-by-step explanation:

Someone please help I have 40 mins for this test !

Answers

Answer:

It would be Linear

Step-by-step explanation:

Answer:

i think its quadratic because the graph isnt straight and has different slopes between the x,y.

Step-by-step explanation:

SOMEONE HELP ME PLEASE

Answers

Answer:

The missing value is 5/2

Step-by-step explanation:

Please help me with this ive been struggling on it for a while

Answers

it is 6 for both. You would use the slope formula below
Hope this helps!!

At what values of x, does f(x) = 0?
(-1,0) (2,0) (4,0)

Answers

Answer:

-1, 2, 4

Step-by-step explanation:

As one can see in the given values,

(-1, 0), (2, 0), (4, 0)

When one substitutes these values for (x), the outputs, also known as the results or what (f(x)) equals or the (y) values are equal to (0). Therefore, (f(x)) equals zero at these given values.

A box has dimensions of 4.0 cm by 8.5 cm by 2.0 cm. The volume of the box in mL is:

Answers

Answer: 68 mL

Step 1: Write volume formula

The formula for volume is often abbreviated into V=l×w×h. This stands for volume= length×width×height.

Step 2: Substitute numbers for answer in cm

To get the answer in cm, simply substitute the numbers into the equation. Then, you may simply multiple them to solve.
V=4.0 cm×8.5 cm×2.0 cm
V= 68 cm

Step 3: Add cubed symbol

Since this is referring to volume, you will need to add the cubed symbol to the end of your answer. This will appear as a number 3 above the cm on the right side.

Step 4: Convert to mL

This is a simple step once you understand the formula to convert. Luckily for us, cm cubed (cm3)= 1 mL. Because of this, the answer will remain as 68 mL


Hope this is right and it helps you!

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