How do you find the vertex

Answers

Answer 1

Parabolas always have a lowest point (or a highest point, if the parabola is upside-down). This point, where the parabola changes direction, is called the "vertex". If the quadratic is written in the form y = a(x – h)2 + k, then the vertex is the point (h, k).


Related Questions

Bryan bought a canvas for an art project. The canvas has 2 pairs of parallel sides and 4 right angles.The sides are not all of equal length. Which shape is the canvas?

Answers

Given:

The canvas has 2 pairs of parallel sides and 4 right angles.

The sides are not all of equal length.

To find:

The shape of the canvas.

Solution:

Rectangle: A rectangle is a quadrilateral whose opposite sides are parallel and equal. All the interior angles of a rectangle are right angles.

Note: All sides of a rectangle are not equal. If they are equal then it is known as square.

It is given that the canvas has 2 pairs of parallel sides and 4 right angles. The sides are not all of equal length.

Therefore, the shape of the canvas is a rectangle.    

One Euro (€) is equivalent to $1.10. A souvenir costing €15 would cost how much in dollars?

Answers

that would be $16.50

Answer:

is 16.5 an answer

Step-by-step explanation:

You would do 1.10 x 15 or just add 1.10 15 times

graph each transformation, g(x), and write the equation for the transformed function​

Answers

Answer:

Step-by-step explanation:

f(x) = [tex]3^{x}[/tex]

g(x) = [tex]3^{x-1}[/tex]

A map has the scale 1cm:40mi. What is the distance between two towns that are 3.3cm apart on the map?

Answers

Answer:

132 miles

Step-by-step explanation:

Given data

scale 1cm:40mi.

this means that

1 cm on the map is equal to 40 miles on

Hence if 1cm rep 40 miles

              3.3cm will rep x

cross multiply

x= 3.3*40

x=132 miles

PLS HELP!!!!!!!!!!!!!!!!!!!!!!!!A rectangular pyramid has a volume of 216 in³. A rectangular prism has the same height as the rectangular pyramid and a base that is congruent to the base of the rectangular pyramid.

What is the relationship between the volume of the rectangular pyramid and the rectangular prism?

A.The volume of a rectangular prism is 2 times the volume of a rectangular pyramid. The volume of the rectangular prism is 432 in3.

B.The volume of a rectangular prism is 13 the volume of a rectangular pyramid. The volume of the rectangular prism is 72 in3.

C.The volume of a rectangular prism is 12 the volume of a rectangular pyramid. The volume of the rectangular prism is 108 in3.

D.The volume of a rectangular prism is 3 times the volume of a rectangular pyramid. The volume of the rectangular prism is 648 in3.

Answers

Answer:

D

Step-by-step explanation:

I took the test.

Answer:

d

Step-by-step explanation:

i dont know


If entering your answer as a decimal, round your final answer to the nearest hundredth.
Find the perimeter of rectangle LINT.

Answers

Answer:

[tex]P = 22.75[/tex]

Step-by-step explanation:

Given:

See attachment for rectangle LINT

Required

Calculate its perimeter

From the attachment:

Considering triangle LYT, we apply Pythagoras theorem.

[tex]LT^2 = LY^2 + TY^2[/tex]

Where:

[tex]LY = 5.2[/tex]

[tex]TY = 3.9[/tex]

The formula becomes:

[tex]LT^2 = 5.2^2 + 3.9^2[/tex]

[tex]LT^2 = 42.25[/tex]

Take positive square root of both sides

[tex]LT = \sqrt{42.25[/tex]

[tex]LT = 6.5[/tex]

Next, we calculate the length of NT.

By comparing triangles LYT and NYT

We make use of the following equivalent ratios to solve for NT

[tex]NT:TY = LT:LY[/tex]

[tex]NT : 3.9 = 6.5 : 5.2[/tex]

Convert to fractions

[tex]\frac{NT}{3.9} = \frac{6.5}{5.2}[/tex]

Make NT, the subject:

[tex]NT = \frac{6.5}{5.2}*3.9[/tex]

[tex]NT = \frac{6.5*3.9}{5.2}[/tex]

[tex]NT = \frac{25.35}{5.2}[/tex]

[tex]NT = 4.875[/tex]

The perimeter (P) is then calculated as:

[tex]P = NT + LT + LI + NI[/tex]

Where

[tex]NT = LI[/tex] and [tex]LT = NI[/tex] -- opposite sides of rectangle.

So:

[tex]P = NT + NT + LT + LT[/tex]

[tex]P = 2NT + 2LT[/tex]

Substitute values for NT and LT

[tex]P = 2*4.875 + 2*6.5[/tex]

[tex]P = 9.75 + 13.0[/tex]

[tex]P = 22.75[/tex]

Hence, the perimeter is 22.75 units

Describe how k affects the graph of the function f(x)= -3/5(10)^x

Answers

Answer:

1437.33

Step-by-step explanation:

There are 1200 students at silver lake middle school 700 Are eighth graders what percent of the students are in the eighth grade round to the nearest 10th of a percent

Answers

(700/1200)*100 = 58.33%, rounding to the nearest 10th of à percent we get 60%

Find the sum of 0.5 and -0.5.

Answers

Amswer

The answer is 0

is the function a^x increasing or decreasing?

is the function for a^-x increasing or decreasing?


Anyone please help asap for these both questions. thank you

Answers

Answer:

The function a^x is increasing, while a^-x is decreasing.

Step-by-step explanation:

The reason for this is the negative. a^x is increasing due to the positive power, while a^-x is decreasing to the negative power.

I hope I helped:)

I would appreciate Brainliest ;)

An engineer is using computer-aided design (CAD) software to design a component for a space shuttle. The scale of the drawing is 1 cm : 60 in. The actual length of the component is 12.75 feet. What is the length of the component in the drawing?

Answers

Answer:  2.55 cm

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

Work Shown

1 foot = 12 inches

12.75 ft = 12.75*12 inches = 153 inches

The scale of 1 cm : 60 in allows us to form the proportion below

(1 cm)/(60 in) = (x cm)/(153 in)

1/60 = x/153

1*153 = 60*x ..... cross multiply

153 = 60x

60x = 153

x = 153/60

x = 2.55

The length of the component in the drawing is 2.55 cm

Side note: This is equivalent to 25.5 mm since 1 cm = 10 mm (ie you multiply by 10 to go from cm to mm).

3 (2x+8) = 60 x=____​

Answers

x = 6

Step-by-step Explanation:

(Original problem) 3(2x+8)=60

Multiply 3 to 2x and 8: 6x+24=60

Subtract 24 on both sides of the equation: 6x+24=60
-24 -24
6x=36

Divide both sides by 6: 6x/6 = 36/6

Final result: x = 6

Answer:

x=4/9

Step-by-step explanation:

3(2x+8)=60x

6x+24=60x

6x+24-24=60x-24 -60x

-54x=-24

-54x= -24

x= 4/9

13
Aisha had both chocolate cake and coconut cake at her birthday party. There were 50 people
at the party, and 90% of them picked chocolate cake. How many people picked chocolate
cake? *
(1 Point)
45
35
0 25
40

Answers

Answer:

45

Step-by-step explanation:

90% of them picked chocolate cake

then

90% * 50 ( total number of people in the party ) = 45

lena purchased a prepaid phone card for $20. long distance call cost 18 cents a minute using this card. Lena used her cared only once to make a libg distance call. if the remaining credit on her card is $13.34, how many minutes did her call last?

Answers

Answer:

37 minutes

Step-by-step explanation:

We start by finding the difference between the original amount and what is left

Mathematically, that will be;

20-13.34 = 6.66

To

cents that will be 6.66 * 100 = 666 cents

We now divide by the amount per minute

The amount per minute is 18 cents

Thus, the number of minutes will

be 666/18 = 37

What is 2/3 as a decimal please show steps on how you got there

Answers

Answer:

2/3 as a decimal is 0.67 rounded otherwise it is 0.6 recurring

Step-by-step explanation:

Many calculators round the digit up so they dont repeat forever.

Just divide 2 / 3 and that makes 0.6 recurring

39 divided ( 2+ 1 ) - 2 x (4 +1 )

Answers

Answer: -39/7 or -5.57

Step-by-step explanation:

To do math operations, we should follow the PEDMAS

ParenthesisExponentsDivisionMultiplicationAdditionSubtraction

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

Given

39/[(2+1)-2×(4+1)]

Simplify numbers in parenthesis

39/(3-2×5)

Do multiplication in parenthesis

39/(3-10)

Do subtraction in parenthesis

39/-7

Do division

-39/7 or -5.57

Hope this helps!! :)

Please let me know if you have any questions

The result of the division of 39 divided ( 2+ 1 ) - 2 x (4 +1 ) is: -39/7 or -5.57

We know that,

To do math operations, we should follow the PEDMAS

Parenthesis

Exponents

Division

Multiplication

Addition

Subtraction

Here, we have,

Given

39/[(2+1)-2×(4+1)]

Simplify numbers in parenthesis

39/(3-2×5)

Do multiplication in parenthesis

39/(3-10)

Do subtraction in parenthesis

39/-7

Do division

-39/7 or -5.57

To learn more on division click:

brainly.com/question/21416852

#SPJ6

HELP ASAP
Create a List, Table or tree

Answers

Your answer would be 3 out of 6 I don’t really know how to put the into a table it’s just a really simple answer

please help me!!!!! I don't know how to do this

Answers

Answer:

1. y = 0

2. x = -5

3. x = 10

4. y = -12

1. 3x+2y=-12, y= -6 3/2
2.-4x+8y=20, x=5+2y
3.x+y=10, x=10-y
4.5x-y=12, y=12+5x

1 The length of a rectangle is 10 inches, and the
width is represented by 3x. Which best
represents an equation and solution for x if the
area of the rectangle is 40 square inches?
A 10(3x) = 40; X = 4
B 30x = 40; x = 1;
C 3x = 40; x = 13
D 3x + 10 = 40; X = 10

Answers

Answer:

A

Step-by-step explanation:

To find the area of a rectangle, it is length times width (10*3x), and if it equals 40, you could just write that after the equation, and then find out that "x" would equal [tex]\frac{4}{3}[/tex]

Answer:

30x = 40 ; x1  

Step-by-step explanation:

[tex]A^{}[/tex] = [tex]l^{}[/tex] [tex]w^{}[/tex]

[tex]l^{}[/tex] = 10 inch.

[tex]w^{}[/tex] = 3x

10(3x) = 40

30x = 40 ; x = [tex]1\frac{1}{3}[/tex] ≈ 1

Michael has 38 nickels and quarters in his backpack. If he has a total of $4.50. how many nickels, n, and how many quarters, q, does he have?
Answer Michael has
nickels and
quarters

Answers

Answer:

10 quarters and 2 nickels

Step-by-step explanation:

38 x .5 = 1.90

4.50 - 1.90 = 2.60

10 quarters and 2 nickels.

the total surface area of this cuboid is 76cm^2 find the value of x (5cm = width, 4cm= length and x = height)

Answers

Answer:

Height x=2

Step-by-step explanation:

area of top & bottom:

(5)(4)(2)=40

area of 2 sides:

(x)(5)(2)=?

area of the other two sides:

(x)(4)(2)=?

total area=76

76=40+10x+8x

simplify:

36=18x

x=2

The slope of the line that passes through the points
(3, 14) and (7, 9) is

ASAP

Answers

-5/4 , by using m= (y2-y1)/ (x2-x1)

Answer:

[tex]\boxed {\boxed {\sf m= - \frac{5}{4} }}[/tex]

Step-by-step explanation:

The formula for slope is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The line passes through (3,14) and (7,9). Therefore,

[tex]x_1=3 \\y_1=14 \\x_2=7 \\y_2=9[/tex]

Substitute the values into the formula.

[tex]m= \frac{9-14}{7-3}[/tex]

Solve the numerator.

[tex]m=\frac{-5}{7-3}[/tex]

Solve the denominator.

[tex]m= \frac{-5}{4}[/tex]

This fraction is reduced, so it is the answer.

The slope is equal to -5/4

A mechanic has sockets with sizes shown below. Write each fraction in the correct box.​

Answers

Missing Details:

Write each fraction in the correct box.

1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in

Less than: 1/2inch,

Equal to: 1/2inch

Greater than: 1/2inch

Answer:

Less than: 1/2inch---> 1/8 in

Equal to: 1/2inch ---> 8/16 in

Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in

Step-by-step explanation:

Given

Sizes: 1/8in, 5/8in, 8/16in, 9/16in, 15/16in, 5/6in

Required

Match the size with the correct inequalities

Convert 1/2in to decimal

[tex]\frac{1}{2}\ in = 0.5\ in[/tex]

Next, we convert each size to decimal and compare the decimal equivalent to 0.5in

Convert 1/8in to decimal

[tex]\frac{1}{8}\ in = 0.125\ in[/tex]

0.125 is less than 0.5in

Convert 5/8in to decimal

[tex]\frac{5}{8}\ in = 0.625\ in[/tex]

0.625 is greater than 0.5in

Convert 8/16in to decimal

[tex]\frac{8}{16}\ in = 0.5\ in[/tex]

0.5 is equal to 0.5in

Convert 9/16in to decimal

[tex]\frac{9}{16}\ in = 0.5625\ in[/tex]

0.5625 is greater than 0.5in

Convert 15/16in to decimal

[tex]\frac{15}{16}\ in = 0.9375\ in[/tex]

0.9375 is greater than 0.5in

Convert 5/6in to decimal

[tex]\frac{5}{6}\ in = 0.833\ in[/tex]

0.833 is greater than 0.5in

So, we have:

Less than: 1/2inch---> 1/8 in

Equal to: 1/2inch ---> 8/16 in

Greater than: 1/2inch ---> 5/8in, 9/16in, 15/16in, 5/6in

What angles measure 70 degrees?
< EFC
< EFB
< EFA
< EFD

Answers

It’s definitely number 3

Pls help pls pls pls

Answers

Answer: A don't get confused by b

Step-by-step explanation:

Please help! Suppose f(x) = x - 4. Find the graph of
3/4 f(x).
Click on the correct answer.
graph 1
graph 2.

Answers

Answer:

Graph 1 because if you just do the Y coordinate its much easier.

Answer:

graph 1

Step-by-step explanation:

the answer is graph 1

Which equation yields the solutions x=−2 and x=−10?

Answers

What are the options ..

Options:

A. −x2−2x+35=0

B. 5x2+40x+60=0

C. −4x2+24x−20=0

D. x2+12x+20=0

Answer: its not B

sorry it only let me choose once ttm2021

=
<
2 of 4
Next >
natalie
Updare
Toncher
Student
You are buying cookies. Each cookies costs $3.
The following function represents the total cost after
buying x cookies.
f(x) = 3x
Complete the table below.
<
o4
Number of Cookies
Total Cost (Dollars)
0
1
2
I
3
4
5
Graph the function.

Answers

Answer:

0---0

1----3

2---6

3----9

4----12

5----15

Step-by-step explanation:

After a price increase of 20% the cost of entry to a museum rose to $25.80.
Find the original price.
-------------------------------------------- Please help and explain how to do this equation. Tia

Answers

Answer:

$20.64

Step-by-step explanation:

0.20x25.80=5.16

25.80-5.16=20.64

The original price to get entry to a museum is $20.64 .

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Let call 'a' be the original price.

if it rose of 20 % , it's mean that it will multiplicate by 0.20

0.20 x 25.80=5.16

a = 25.80 - 5.16=20.64

Learn more about the unitary method;

https://brainly.com/question/23423168

#SPJ2

Lois and Clark own a company that sells wagons. The amount they pay each of their sales employees (in dollars) is given by the expression 12h+30w12h+30w12, h, plus, 30, w where hhh is the number of hours worked and www is the number of wagons sold.
What is the amount paid to an employee that works 666 hours and sells 333 wagons?
\$

Answers

Answer:

x=36° (180/5x because 2x+3x)

Step-by-step explanation:

Answer:

162

=12h+30w

=12(6)+30(3)

=72+90

=162

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