what is the vertex of y=ax^2+c

Answers

Answer 1

9514 1404 393

Answer:

  (0, c)

Step-by-step explanation:

Compare the given equation to the vertex form equation ...

  y = a(x -h)^2 +k . . . .  quadratic with vertex (h, k)

You have ...

  y = ax^2 +c

Matching these forms, we see that h=0, and k=c. Then the vertex is ...

  (h, k) = (0, c)


Related Questions

Please HELPP with this question

Answers

4.5 I think if not you can just look up the surface area of 9

9514 1404 393

Answer:

  551.07 yd²

Step-by-step explanation:

For radius r and height h, the total surface area of the cylinder is given by ...

  SA = 2πr(r +h)

Here, the radius is 4.5 yards (half the diameter) and the height is 15 yards. That makes the surface area ...

  SA = 2(3.14)(4.5 yd)(4.5 +15 yd) = 551.07 yd²

résoudre l'équation. 2(x-2)=3x+3(2x+1)​

Answers

Answer:

Step-by-step explanation:

2(x-2)=3x+3(2x+1)

2x-4=3x+6x+3

2x-4=9x+3

2x-9x=3+4

-7x=7

x=7/-7

x=-1

leo le debe 15.00 pesos. Si su madre le da 60.00 pesos de paga y se gasta 20.00 con sus amigos
¿cuanto dinero le queda?
¿tendrá pendiente alguna deuda?

Answers

Answer:

Le quedan 25 pesos

No tendrá pendiente ninguna deuda

Step-by-step explanation:

60-15-20=25

Need help with this question. 20 points

Answers

9514 1404 393

Answer:

  3

Step-by-step explanation:

For x > 0, the function f(x) is ...

  f(x) = 3x -4 . . . . . . . . for x > 0

Translating this down 1 unit makes it ...

  g(x) = f(x) -1 = 3x -5

The rate of change for any interval such that x > 0 in the whole interval is the coefficient of x: 3.

The rate of change on the interval is 3.

__

If you like, you can find the rate of change from ...

  m = (g(5) -g(2))/(5 -2) = (10 -1)/3 = 9/3 = 3

The rate of change is 3.

You are trying to figure out how many license plates can be created from the digits 0 through 9. The license plate has 6 numbers, and none can be repeated. How many license plates can be created?

Answers

Answer:

1

Step-by-step explanation:

please help lolz ty besties

Answers

24 players / B so the answer can be right

uppose you are performing a hypothesis test with H subscript 0 superscript blank space colon space mu equals 10 and H subscript A colon mu greater than 10, using a sample size of 50 observations. You sample data has a mean of 10.7, with a standard deviation of 3.1. Compute the test statistic for this hypothesis test

Answers

Answer: The test statistic for this hypothesis test =1.597

Step-by-step explanation:

When population standard deviation is unknown, we use t-test statistic:

[tex]t=\dfrac{\overline{x}-\mu}{\dfrac{s}{\sqrt{n}}}[/tex]

[tex]\overline{x}[/tex] = sample mean, [tex]\mu[/tex] = population mean , s= sample standard deviation, n = sample size.

As per given,

[tex]t=\dfrac{10.7-10}{\dfrac{3.1}{\sqrt{50}}}\\\\=1.59669273171\approx1.597[/tex]

Hence, the test statistic for this hypothesis test =1.597

define gender based violence​

Answers

Answer:

Step-by-step explanation:

Elder abuse is any action that causes harm or distress to an older person. ...

Sexual violence is any action that results in the loss or removal of sexual autonomy for a person. ...

Stalking is a pattern of harassing behavior or course of conduct directed at a specific person that would place that person in reasonable fear.

What shape is the Base of this Prism?

Answers

The shape of the base of this prism would be a rectangle.

Answer:

a rectangle

Step-by-step explanation:

Why does 5(x+20) equal 15x? I'm so confused.

Answers

Answer:

Nobody knows its a mistery :'D

Answer:

Because lma/os

Step-by-step explanation:

5 ( x + 20 )

-----------------

1. Simplifly

2. Distribute

3.  5 ( x + 20 )

     5 x + 100

Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D​

Answers

Answer and Solution

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

–––––––––☆–––––––––

Answer: Solve the missing elements for each problem. Use 3.14 for π. Area π r² ; C = π D​

Step-by-step explanation:

1. Radius = 32/2 = 16 inches

Diameter = 32 inches

Circumference = 3.14 × 32 = 100.48 inches

Area = 3.14 × 256 = 803.84 inches

2. Radius :- 40 / 2 = 20 inches

Diameter = 40 inches

Circumference = 3.14 × 40 = 125.6 inches

Area = 3.14 × 20 × 20 = 1256 inches

3. Radius = 28 / 2 = 14 inches

Diameter = 28 inches

Circumference = 3.14 × 28 = 87.92 inches

Area = 3.14 × 14 × 14 = 615.44 inches

4. Radius = 18/2 = 9 inches

Diameter = 18 inches

Circumference = 3.14 × 18 = 56.52 inches

Area = 3.14 × 9 × 9 = 254.34 inches

5. Radius = 5 inches

Diameter = 5 × 2 = 10 inches

Circumference = 3.14 × 10 = 31.4 inches

Area = 3.14 × 5 × 5 = 78.5 inches

6. Radius = 2 inches

Diameter = 2 × 2 = 4 inches

Circumference = 3.14 × 4 = 12.56 inches

Area = 3.14 × 2 × 2 = 12.56 inches

–––––––––☆–––––––––

Write the Plural! Spanish, help!!

Answers

Las mujeres son altas
Los examenes no son dificiles
Las chicas son inteligentes
Los son altos
Los señores son jovenes

write the equation for the circle graphed below.

Answers

Answer:

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

Step-by-step explanation:

Given

The attached graph

Required

The equation of the circle

The equation of a circle is:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

Where

[tex](h,k) \to center[/tex]

[tex]r \to radius[/tex]

From the attached graph,

[tex](h,k) = (1,-1)[/tex]

[tex]r = 0.5[/tex]

So, we have:

[tex](x - h)^2 + (y - k)^2 = r^2[/tex]

[tex](x -1)^2 + (y--1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.5^2[/tex]

[tex](x -1)^2 + (y+1)^2 = 0.25[/tex]

whats the answer. ill make this 20 pts

Answers

Answer:

B

Step-by-step explanation:

[tex] \sqrt[y]{ {x}^{z} } = {x}^{ \frac{z}{y} } \\ [/tex]

-2x +9y=8
x=y+3
Step by step

Answers

I am assuming that finding the x and y value is the goal for this question since it is not clarified.

So x = y + 3 is a equation we can plug in for x to find the y value.

-2(y+3) + 9y = 8

-2y - 6 + 9y = 8

7y - 6 = 8

7y = 15

y = 15/7

Plug in for the y value since that is now determined to find out x value.

x = 15/7 + 3

x = 15/7 + 21/7

x = 36/7

What is EG? Round to the nearest tenth if necessary.

Answers

Answer:

26.

Step-by-step explanation:

As the vertex angles are equal:

24/54 = x / x+10

54x = 24x + 240

30x = 240

x = 8

So EG = x + x + 10

=  8 + 8 + 10

= 26..

Kyle is studying migration patterns of birds. Specifically, he is comparing the distance travelled by geese and the distance travelled by pelicans in a year. Do geese travel significantly more distance than pelicans do?

Geese Pelicans
M = 191 miles M = 190 miles
n = 61 n = 61
s = 1.429 s = 1.355

Required:
a. State the null and alternative hypotheses in words.
b. Locate the critical value that defines the critical region.
c. Calculate your statistic.
d. Make a decision with respect to the null.
e. Write a concluding statement in everyday language.

Answers

Answer:

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 > 0

Test statistic = 3.96

Critical value = 1.67

Reject H0

We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans

Step-by-step explanation:

M= xbar1 = 191 ; M = xbar2 = 190 miles

n1 = 61 n2 = 61

s = 1.429 ; s2 = 1.355

Hypothesis :

H0 : μ1 - μ2 = 0

H0 : μ1 - μ2 > 0

Test statistic :

(x1 - x2) ÷ √[(s1²/n1) + (s2²/n2)]

(191 - 190) ÷ √[(1.429²/61) + (1.355²/61)]

1 ÷ √[(0.0334760) + (0.0300987)]

1 ÷ √0.0635747

1 ÷ 0.2521402

= 3.966

Degree of freedom :

df = n - 1

df = 61 - 1 = 60

Critical value :

Tcritical at 0.05%, df = 60

Tcritical = 1.67

Decision region:

Reject H0 if Tstatistic > Tcritical

Since ;

3.96 > 1.67 ; We reject H0

We can conclude that there is significant evidence to support the claim that geese do travel more Than pelicans

The area of a triangle is 14 square inches, and the triangle's height is 7 inches. Use the formula A = bh, where A is area, b is
base, and h is height, to find the length of the base of the triangle.
•49 inches
•1 inch
•2 inches
•4 inches

Answers

length of base is2 inches:

Answer:

Solution given:

According to the questionArea of triangle=14 square inches

bh=14

7*b=14

b=14/7

b=2

length of base is2 inches:

if

A=½bh

then

Area of triangle=14 square inches

½bh=14

½*7*b=14

b=14*2/7

b=4 inches

the length of the base of the triangle is 4inches.

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

What is mean by Triangle?

A triangle is a three sided polygon , which has three vertices and three angles with sum 180 degree.

Given that;

The area of a triangle = 14 square inches

Height of a triangle = 7 inches

Now,

The given formula for a triangle is;

⇒ A = bh

Where, A is the area, b is base and h is the height of the triangle.

Substitute all the values in above equation, we get;

⇒ A = bh

⇒ 14 = b x 7

Divide by 7, we get;

⇒ 14/7 = b

⇒ b = 2 inches.

Therefore,

The length of the base of the triangle will be;

⇒ b = 2 inches.

Option 3 is true.

Learn more about the triangle visit:

https://brainly.com/question/21735282

#SPJ2

is (0,0) a solution to this system

Answers

is (0,0) a solution to what system?

What is the slope of the line that contains the points (-1, 2) and (3, 3)?
O A. -
B. -4
O c.
O D. 4
Please help

Answers

Answer:

Slope = 1/4

Step-by-step explanation:

[tex]slope = \frac{y2-y1}{x2-x1} \\m=\frac{3-2}{3--1} \\m=1/4[/tex]

Which choice below could represent the distance jake walked?

Answers

Answer:

50 yard South, 40 yard east 60 yard northwest

Jerome purchased a 4-year old car for $12,000. He was told this make a model depreciates exponentially at a rate of 5.7% each year. What was the original price to the nearest hundred dollars?
Group of answer choices

$19,300

$15,200

$12,500

$17,500

Answers

19,300 5.7 by 12,000 just makes scene

PLEASE HELP!!! CALCULUS ASSIGNMENT

Answers

Answer:

(d)  [tex]\displaystyle 12x^3 - 15x^2 + 2[/tex]

General Formulas and Concepts:

Algebra I

FunctionsFunction Notation

Calculus

Derivatives

Derivative Notation

Derivative Property [Addition/Subtraction]:                                                                [tex]\displaystyle \frac{d}{dx}[f(x) + g(x)] = \frac{d}{dx}[f(x)] + \frac{d}{dx}[g(x)][/tex]

Basic Power Rule:

f(x) = cxⁿ f’(x) = c·nxⁿ⁻¹

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle y = 3x^4 - 5x^3 + 2x - 1[/tex]

Step 2: Differentiate

Basic Power Rule:                                                                                            [tex]\displaystyle y' = 4(3x^{4 - 1}) - 3(5x^{3 - 1}) + 2x^{1 - 1} - 0[/tex]Simplify:                                                                                                             [tex]\displaystyle y' = 4(3x^3) - 3(5x^2) + 2[/tex]Multiply:                                                                                                             [tex]\displaystyle y' = 12x^3 - 15x^2 + 2[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

( d ) 12x³ - 15x² + 2

Step-by-step explanation:

y = 3x⁴ - 5x³ + 2x - 1

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of axⁿ is nax^{n-1}.

[tex] \small \sf \: y = 4\times 3x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]

multiply 4 × 3.

[tex] \small \sf \: y = 12x^{4-1}+3\left(-5\right)x^{3-1}+2x^{1-1} [/tex]

Multiply 3 × -5

[tex] \small \sf \: y = 12x^{3}-15x^{3-1}+2x^{1-1} [/tex]

subtract the exponents

y = 12x³ - 15x² + 2⁰

For any term t except 0, t⁰ = 1.

y = 12x³ - 15x² + 2 × 1

y = 12x³ - 15x² + 2

Hence, option ( d ) is the correct answer.

En 9 días, un grupo de trabajadores puede sembrar 72 hectáreas.
¿Cuál es su tasa en hectáreas por día?

Answers

Answer:

8 hectáreas por día

Step-by-step explanation:

72 hectares en 9 días por eso divides 72 por 9 para encontrar la repusta es 8

¡Espero que esta te ayudar! :)

(y sí, hablo un poco de español porque he aprendido desde el primer grado)

13 +22
if r = -3 and s = 4

Answers

35 is the answer

have a wonderful day

What is the square root of 9

Find 35% of a number is 70 find the number

Answers

Answer:

200.

Step-by-step explanation:

35% = 0.35 so

0.35x = 70

x = 70 / 0.35

= 200.

Answer:

200

Step-by-step explanation:

Let the number = x

35% of x = 70

35/100 * x = 70                      Multiply by 100

35x = 70 * 100

35x = 7000                           Divide by 35

x = 7000/35

x = 200

Which theorem can be used to show that AJKL - AMNP?

Answers

Answer:

C. ASA Similarity

Step-by-step explanation:

Using the Angle-Side-Angle Similarity Theorem is the only thing we can do because looking above we see that we know two angles and one side. Hence, this can be the only theorem that is fit for these two triangles.

What is 234.506 rounded to the nearest hundredth

Answers

Answer:

Rounded to the nearest hundredth, 234.506 becomes 234.51.

Does y= x represent a function

Answers

This is read as “y is a function of x.” The letter x represents the input value, or independent variable. The letter y, or f(x), represents the output value, or dependent variable. Use function notation to represent a function whose input is the name of a month and output is the number of days in that month.

The kinetics of some phase transformations obey the Avrami relationship. Using the fraction transformed-time data given below, determine the total time required for the transformation to go to 92% completion. Fraction transformed Time (s) 0.2 12.6 0.7 25.7 Enter your answer in accordance to the question statement s

Answers

Solution :

Avrami relationship

[tex]$1-y=exp(-kt^n)$[/tex]

[tex]$\ln(1-y)=-kt^n$[/tex]

[tex]$-\ln(1-y)=kt^n$[/tex]

[tex]$\ln\left[\ln\left(\frac{1}{1-y}\right)\right]=\ln k + n \ln t$[/tex]

The fraction transformed is 0.2 at 12.6 s,

[tex]$\ln\left[\ln\left(\frac{1}{1-0.2}\right)\right]=\ln k + n \ln (12.6)$[/tex]

[tex]$-1.5 = \ln k + 2.533 n$[/tex]  .........(i)

The fraction transformed is 0.7 at 25.7 s,

[tex]$\ln\left[\ln\left(\frac{1}{1-0.7}\right)\right]=\ln k + n \ln (25.7)$[/tex]

[tex]$0.5 = \ln k + 3.24 n$[/tex]   ..............(ii)

Subtract (ii) from (i),

-2 = -0.71 n

n = 2.81

Therefore, from (i),

[tex]$-1.5 = \ln k + 2.533 (2.81)$[/tex]

k = 0.000181

Now if the fraction transformed is 0.92, then

[tex]$kt^n=-\ln (1-y)$[/tex]

[tex]$t=\left[\frac{-\ln (1-y)}{k}\right]^{\frac{1}{n}}$[/tex]

[tex]$t=\left[\frac{-\ln (1-0.92)}{0.000181}\right]^{\frac{1}{2.81}}$[/tex]

t = 29.8528 s

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