for the equation y=ax^2 how does the sign of coefficient affect the graph of the curve

Answers

Answer 1

Answer:

The sign of the coefficient determines the direction of where the graph opens.

Step-by-step explanation:

Given the quadratic equation, y = ax²:

The sign of the coefficient, a, affects the graph of the curve as it determines the direction of where the graph opens.

If the value of a is negative (a < 0), then the graph of the parabola opens downward. If the value of a is positive (a > 1), then the graph of the parabola opens upward.  

 

Please see the attached screenshots of the graphed equations (y = -x², and y = x²), to show the effects of changing the sign of a quadratic equation's coefficient.

For The Equation Y=ax^2 How Does The Sign Of Coefficient Affect The Graph Of The Curve
For The Equation Y=ax^2 How Does The Sign Of Coefficient Affect The Graph Of The Curve

Related Questions

Factor completely by finding the greatest common factor:
12xy^4 − 21x^2y^5z + 36xy^3

Answers

Answer:

the coomon factor is 3xy³

by factoring we get

3xy³(4y-7xy²z+12)

auestion is in the picture, 10 points!

Answers

Answer:

  y = K/(16z)

Step-by-step explanation:

  [tex]K=16yz\qquad\text{given}\\\\\boxed{y=\dfrac{K}{16z}}\qquad\text{divide by the coefficient of y}[/tex]

$6.00 for 3 chocolate bars how many did he pay per bar

Answers

Answer:

$2.00

Step-by-step explanation

To solve this problem, divide $6 by 3 bars which is $2 a bar

Answer:

One bar= $2

Step-by-step explanation:

6 is the amount paid, 3 is the amount of bars he got. so to find the amount for one bar you divide, 6÷3= 2

its urgent please. my assignment is due in like 30 minutes

Answers

Answer:

( iii)

a-x/a+x =b

a-x=b(a+x)

a-x=ab+ax

a-ab=ax+x

a-ab=x(a+1)

a-ab/a+1=x(a+1)/a+1

x=a-ab/a+1

x=a(1-b)/a+1

Mallika and Kishore have the same numbser o marbles. To have 100 marbles they must pool their marbles together and then gset 30 more. " which equation represents the above relationship?

Answers

Number of marbles with Mallika = x

Number of marbles with Kishore = x (same number of marbles)

To get 100 marbles = x + x + 30

=》x + x + 30 = 100

2x + 30 = 100

2x = 100 - 30

2x = 70

x = 70/2

x = 35

■ Final answer =》Mallika & Kishore both have 35 marbles each.

■ Equation =》2x + 30 = 100

■ Equation type =》Linear equation in 1 variable

______

Hope it helps ⚜

The equation for the given situation will be;

⇒ 2x + 30 = 100

Where, 'x' is represent the number of marbles.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

Mallika and Kishore have the same number of marbles.

And, To have 100 marbles they must pool their marbles together and then get 30 more.

Now,

Since, Mallika and Kishore have the same number of marbles.

Hence, Let the number of marbles = x

So, We can formulate;

⇒ x + x + 30 = 100

⇒ 2x + 30 = 100

⇒ 2x = 100 - 30

⇒ 2x = 70

⇒ x = 35

Thus, Number of marbles each have = 35

And, The equation for the given situation will be;

⇒ 2x + 30 = 100

Where, 'x' is represent the number of marbles.

Learn more about the mathematical expression visit:

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If -2 is a zero of P(x) = 2x²- 3x( 5k+4) then k = ____.

Brainly Challange for high level user.​

Answers

Answer:

k = - [tex]\frac{16}{15}[/tex]

Step-by-step explanation:

Since x = - 2 is a zero , then p(- 2) = 0 , that is

2(- 2)² - 3(- 2)(5k + 4) = 0

2(4) + 6(5k + 4) = 0 ← distribute parenthesis

8 + 30k + 24 = 0

30k + 32 = 0 ( subtract 32 from both sides )

30k = - 32 ( divide both sides by 30 )

k = [tex]\frac{-32}{30}[/tex] = - [tex]\frac{16}{15}[/tex]

Given Polynomial P(x) = 2x^2-3x(5k+4)

Zero = -2

We know that

If -2 is zero of the Polynomial then it satisfies the given Polynomial

⇛P(-2) = 0

⇛ 2(-2)^2-3(-2)(5k+4)=0

⇛ 2(4)+6(5k+4) = 0

⇛ 8+30k+24 = 0

⇛ 30k+32 = 0

⇛ 30 k = -32

⇛ k = -32/30

⇛ k = -16/15

Answer:- The value of k = -16/15.

Read more:

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solve pls brainliest

Answers

Answer:

76%

Step-by-step explanation:

to make this a percentage we need to make the denominator 100. luckily 25*4=100, so multiply 19/25 by 4/4 to get 76/100. so our percentage is 76

Answer:

76%

Step-by-step explanation:

percent is out of 100, so 19*4/25*4=76/100=76%

Which of the following are cube numbers. select all that apply
8/9
27
30
8/27
1/27
27/64
64
1/9

Answers

Answer:

Step-by-step explanation:

8/9    8 is a cube but 9 is not.  8/9 is not a cube

27      27 = 3^3, a perfect cube

30      Not a cube

8/27   Both 8 and 27 are perfect cubes, and so 8/27 is one also.

1/27    This is equivalent to 1^3 / 3^3 and is a perfect cube.

27/64  Both 27 and 64 are perfect cubes, so 27/64 is one also

64        64 = 4^3, a perfect cube

1/9        9 is not a cube, so 1/9 is not one either.

7,200 divided by 10 to the power of 2

Answers

Answer:

51840

[tex] 51840[/tex]

Answer:

518400

Step-by-step explanation:

7200 ÷ 10 is just the zero less:

= 720

Then

720 × 720 =

+1440

+5040

=518400

Find the radius of the button.

A circular button with a diameter of 5 centimeters.

Answers

Answer:

r = 2.5 cm

Step-by-step explanation:

The radius is 1/2 of the diameter

r = 1/2 (d)

r = 1/2 (5)

r = 2.5 cm

a farmer wants to fence in a rectangular plot of land adjacent to the north wall of his barn. no fencing is needed along the barn, and the fencing along the west side of the plot is shared with a neighbor who will split the cost of that portion of the fence. if the fencing costs per linear foot to install and the farmer is not willing to spend more than , find the dimensions for the plot that would enclose the most area.

Answers

The constraint for the maximum enclosed area is the amount the farmer is

willing to spend on fencing.

The width of the plot that will give the most area, y = 83.[tex]\underline{\overline 3}[/tex] feet

The length of the plot that will give the most area, y = 125 feet

Reasons:

The given parameters are;

The cost of fencing per foot = $20

The maximum amount the farmer is willing to spend = $5000

Number of sides of fencing = 3 sides

Cost of the west side of the = Split with neighbor

Solution:

Let, y, represent the length of the fence, and let x represent the width of

the fence, we have;

Length of fence required = y + 2·x

Cost of the fence = 20·y + 20·x + (20÷2)·x = 20·y + 30·x

Therefore;

Maximum amount to be spent on the fence, 5000 = 20·y + 30·x

[tex]\therefore y = \dfrac{5000 - 30 \cdot x}{20} = 250 - \dfrac{3}{2} \cdot x[/tex]

[tex]y = \mathbf{250 - \dfrac{3}{2} \cdot x}[/tex]

Area of a rectangle = Length × Width

The enclosed rectangular area of the fencing, A = y × x

[tex]\therefore A = \left(250 - \dfrac{3}{2} \cdot x\right) \cdot x = 250 \cdot x - \dfrac{3}{2} \cdot x^2[/tex]

[tex]\therefore A = -\mathbf{ \dfrac{3}{2} \cdot x^2 + 250 \cdot x}[/tex]

The leading coefficient of the quadratic function of the area is negative,

therefore, the function only has a maximum point.

At the point of the most area, the slope, [tex]\dfrac{dA}{dx} = 0[/tex]

Finding the value of x at the maximum point, we get;

[tex]\dfrac{dA}{dx} = \mathbf{ \dfrac{d}{dx} \left( 250 \cdot x - \dfrac{3}{2} \cdot x^2\right)} = 250- 3 \cdot x = 0[/tex]

Therefore;

[tex]\mathrm{ The \ width \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ x = \dfrac{250}{3} \ feet = \underline{83.\overline 3 \ feet}[/tex]

[tex]\mathrm{ The \ length \ of \ the \ plot \ that \ will \ enclose \ the \ area}, \ y = 250 - \dfrac{3}{2} \times \dfrac{250}{3} = 125[/tex]

The length of the plot that will give the most area, y = 125 feet

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Please solve step by step

Answers

Please report the picture, it is cut off :)

Answer:

Hopefully this is the question: 7[tex]x^{2}[/tex] + 3x - [tex]x^{2}[/tex]

Step-by-step explanation:

7[tex]x^{2}[/tex] + 3x -[tex]x^{2}[/tex]

= 6[tex]x^{2}[/tex] + 3x

= 3x ( 2x + 1 )

Hopefully this helps.

Make x the subject of the equation x2+3=h​

Answers

Answer:

x2\2+3\2=h/2 therefore x= -3\2+h\2

please help me in questions 16 and 17 only and i’ll mark you as brainliest i promise

Answers

Answer:

16. Domain: [-3,5] and range : [-5,3]

17. Domain: [0,4] and range: [0,4]

A jar contains 450 beans. Of all beans, 1/5 are mung beans and the rest are pinto beans. What is the ratio of mung beans to pinto beans?

PLEASE HELP ME!​

Answers

Answer is  1:4

=======================================================

Explanation:

1/5 of the beans are mung, so 4/5 of the beans are pinto. The two fractions add to 5/5 = 1.

Ignore the denominators and focus on the numerators for each fraction. We have 1 mung and 4 pinto. The values are read in this order to form the ratio 1:4 which is our answer. We cannot reduce this ratio any further.

The order is important because saying 4:1 would mean that we have 4 mung beans and 1 pinto, when it's the other way around.

Side note: The value 450 isn't needed. We could easily change it to any other multiple of 5 and get the same exact answer.

Researchers will conduct a study of the television-viewing habits of children. They will select a simple random sample of children and record the number of hours of television the children watch per week. The researchers will report the sample mean as a point estimate for the population mean. Which of the following statements is correct for the sample mean as a point estimator?
(A) A sample of size 25 will produce more variability of the estimator than a sample of size 50.
(B) A sample of size 25 will produce less variability of the estimator than a sample of size 50.
(C) A sample of size 25 will produce a biased estimator, but a sample size of 50 will produce an unbiased estimator.
(D) A sample of size 25 will produce a more biased estimator than a sample of size 50.
(E) A sample of size 25 will produce a less biased estimator than a sample of size 50.

Answers

Using the Central Limit Theorem, it is found that the correct option is:

(A) A sample of size 25 will produce more variability of the estimator than a sample of size 50.

By the Central Limit Theorem, for a distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], considering the sampling distribution of sample means of size n, the measure of variability is the standard error, which is given by:

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

Hence, the higher the sample size, the lower the variability, and option A is correct.

A similar problem is given at https://brainly.com/question/24663213

Juan alquiló un auto por un día. La tarifa mínima es $490.00, con un cargo adicional de $9.70 por cada kilómetro que maneje. Juan pagó $2847.10 cuando entregó el auto. ¿Qué cantidad de kilómetros manejó? kilómetros Х $ ? ​

Answers

Answer:

243 km

precio de los kilómetros: $2357.10

Step-by-step explanation:

precio total = tarifa mínima + precio de los kilómetros

Para x kilómetros,

P = 490 + 9.7x

P = 2847.1

490 + 9.7x = 2847.1

9.7x = 2357.1

x = 243

precio de los kilómetros: 243 × $9.70/km = $2357.10

Respuesta: 243 km

precio de los kilómetros: $2357.10

BRAINLIEST
please help me ty
You can just do two questions or even just one but I would appreciate all

Answers

Answer:

Some answers for #4 I think!

a = 36

b = 90

c = 36

d = 90

e = 54

Sorry if they are wrong I tried my bestest!

Harry has a balance of $-60.00. He buys 4 bags of apples at the store. 1 bag of apples costs $3. What is his balance now? Explain whether he is making a good financial decision.

Answers

Answer:

I may not know his balance but I think he's not making a good financial decision because he already has - $60 in his account and he's spending more making him more liable to burn money and it's not advisable

The balance of his account after buying the apples would be $-72.00. It is definitely not wise to go deeper into debt for some apples.

i need help on this pls

Answers

Answer:

the answer is 15 bc 30-15=15

Step-by-step explanation:

Answer:11?

Step-by-step explanation:30 buldogs

                                             pirates 10 plus star 9 19 in 30 wwhats left

the 120 grams powdered milk make 12 cups of milk. how many kilograms of powdered milk can produce 60 cups of milk. how many liters is 60 cups of milk?

Answers

Answer: 0.6 Liters of powdered milk can produce 60 cups of milk.

Explanation: 120 grams of powdered milk makes 12 cups of milk. 120 divided by 12 is 10. 60 times 10 is 600. So 600 grams of powdered milk to make 60 cups of milk. That is equal to 0.6 kilograms and that is equal to 0.6 liters.

answer this
help me with this question.​

Answers

Answer:

i cant read the handwriting

Step-by-step explanation:

Select all that are solutions to the inequality below:
3x - 15 > 3

Answers

Answer:

solutions are all values greater than 6

Step-by-step explanation:

add 15 to each side to get:

3x > 18

divide each side by 3 to get:

x > 6

solutions are all values greater than 6

a string 27.2 meters long is cut into shorter pieces, each measuring 3.4 meters long. How many pieces were cut from the 27.2-metres string ?

Answers

Answer:

There are 8 pieces of string cut

Explanation:

27.2 ÷ 3.4 = 8

what is 6/2(1+2)=?give with expiation

Answers

Step-by-step explanation:

6/2 (1+2) = 3(3) = 9.

hope this helps you.

Answer:

9

Step-by-step explanation:

First you need to multiply 6/2 or 3 by the numbers in the ( ) 6/2 x 1 and 6/2 x 2. You will get 3 and 6. 3+6= 9

Given that E is the midpoint of AD and BC, which of the following proves that AB∥CD?
HELP ASAP!

Answers

The proof that shows that AB∥CD in the diagram given is:

1. E is the midpoint of AD --> Given

2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint

3. E is the midpoint of BC --> Given

4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint

5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem

6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem

7. AB∥CD ---> CPCTC Theorem.

The given figure showing ΔABE ≅ ΔDCE is in the image attached below.

We know that:

E is the midpoint of AD. Therefore, AE ≅ ED by the definition of midpoint.

E is the midpoint of BC. Therefore, BE ≅ EC by the definition of midpoint.

∠AEB and ∠CED are vertical angles, therefore, ∠AEB ≅ ∠CED by the vertical angles theorem.

This means that ΔAEB and ΔDEC have:

two pairs of congruent sides - AE ≅ ED and BE ≅ EC

one pair of congruent included side -  ∠AEB ≅ ∠CED

Hence, ΔABE ≅ ΔDCE by the SAS Congruence Theorem.

If both triangles are congruent, it implies that all corresponding sides and angles of ΔAEB will be congruent to that of ΔDEC.

Therefore, AB∥CD by the CPCTC Theorem.

Thus, the proof that shows that AB∥CD in the diagram given is:

1. E is the midpoint of AD --> Given

2. [tex]\overline{AE} \cong \overline{ED}[/tex] ---> Definition of midpoint

3. E is the midpoint of BC --> Given

4. [tex]\overline{BE} \cong \overline{EC}[/tex] ---> Definition of midpoint

5. ∠AEB ≅ ∠CED --> Vertical Angles Theorem

6. ΔABE ≅ ΔDCE ---> SAS Congruence Theorem

7. AB∥CD ---> CPCTC Theorem.

Learn more about the CPCTC Theorem on:

https://brainly.com/question/14706064

Is the point (3,2) a solution of the equation?

Answers

Step-by-step explanation:

no cause 3/2 can't be changed

Javad had a mix of yellow and red jelly beans are shown on the graph if there are 42 jelly beans in his bag how many are red?

Answers

Answer:

there is no graph though

I'm stuck on question 6 + (-20.5)

Answers

Answer:

Step-by-step explanation:

First you put the negative sign away for the end and then you switch the problem to 20.5 - 6. Then you put the 0.5 away for later too. 20 - 6 is equal to 14. Then you add the 0.5 back to the number. So it is equal 14.5 and the you put the negative sign back on to get the final answer of -14.5.

Help me pls

Find angle fgh

Answers

Answer:

116

Step-by-step explanation:

Fast and loose: The two triangles are congruent by SSS (they are both right triangles, the hypotenuse is in common, one of the sides is congruent as a given, the second has to be because of pythagorean theorem). The two angles are thus congruent, and their measure is the same:

[tex]2x+20 = 5x-37 \rightarrow 3x=57 \rightarrow x=19[/tex]

Found x, we can find the measure of the larger angle which is [tex](2\times 19 + 20 )\times 2 = 58 \times 2 = 116[/tex]

Answer:

Angle fgh=116

Step-by-step explanation:

Since segments FI and HI are congruent and angles H and F are congruent we can safely assume that angles FGI and HGI are congruent too. Since they are congruent we're going to set up our equation like so:

(2x+20)=(5x-37)

Now we set the equations equal to each other to solve for x

-3x=-57

Divide the -3 by both sides

x=19

Now we have to plug the x into the equations

2(19)+20 and 5(19)-37

Our answer is 58 for both equations

Now we have to add 58+58 because we're solving for FGH not just FGI or HGI.

SO our final answer is 116

(Hope this helps! If I did this wrong someone please correct me and respond to this answer so that I can delete it. Have a great day!)

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