Which of the following equations is of a parabola with a vertex at (3, 0)?
Oy=x^2+3
o y=x^2-3
Oy= (x+3)^ 2
y=(x-3)^ 2

Answers

Answer 1

Answer:

D. y = (x - 3)²

Step-by-step explanation:

The parabola formula in vertex form is:

y = a(x - h)² + k

where the vertex is located at (h, k). Replacing with vertex (3, 0) we get:

y = a(x - 3)² + 0

y = a(x - 3)²

In all possible options the leading coefficient a is equal to one. Therefore:

y = (x - 3)²


Related Questions

please read the photo above first :))
a) 40
b) 160
c) 240
d) 320​

Answers

Answer: A

Step-by-step explanation:

This problem, may seem abit tricky, but this sequence is all about plugging in.

Since c₁=5, we can solve for c₂ and c₃.

c₂=c₁·2ⁿ⁻¹

c₂=5·2¹

c₂=10

Now that we have c₂, we can find c₃.

c₃=c₂·2ⁿ⁻¹

c₃=10·2²

c₃=40

Help please is for Algebra

Answers

Answer:

[tex]=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}[/tex]

the third option is your answer

Step-by-step explanation:

[tex]\frac{5}{a-3}+\frac{3}{a+3}\\\mathrm{Least\:Common\:Multiplier\:of\:}a-3,\:a+3:\quad \left(a-3\right)\left(a+3\right)\\\mathrm{Adjust\:Fractions\:based\:on\:the\:LCM}\\=\frac{5\left(a+3\right)}{\left(a-3\right)\left(a+3\right)}+\frac{3\left(a-3\right)}{\left(a+3\right)\left(a-3\right)}\\\mathrm{Since\:the\:denominators\:are\:equal,\:combine\:the\:fractions}:\quad \frac{a}{c}\pm \frac{b}{c}=\frac{a\pm \:b}{c}\\=\frac{5\left(a+3\right)+3\left(a-3\right)}{\left(a-3\right)\left(a+3\right)}[/tex]

[tex]\mathrm{Expand}\:5\left(a+3\right)+3\left(a-3\right):\quad 8a+6\\=\frac{8a+6}{\left(a-3\right)\left(a+3\right)}[/tex]

Calculate the volume of the 3-D composite figure please!! show how you got the volume

Answers

Answer: 10,488 cu. in.

Step-by-step explanation:

Volume of rectangular prism = l x w x h

= 16 x 18 x 23 = 6624 cu. in

Volumr of triangular prism = 1/2bh (height of prism)

= 1/2 x 23 x 21 x 16

= 3864 cu. in.

Volume of the figure = 6624 + 3864 = 10,488 cu. in

Which expression shows the sum of the polynomials with like terms grouped together? (8x+3z-8z^2)+(4y-5z)

Answers

Answer:

[tex]8x+4y-2z-8z^2[/tex]

Step-by-step explanation:

Given

[tex](8x+3z-8z^2)+(4y-5z)[/tex]

Required

Write an expression that shows their sum

[tex](8x+3z-8z^2)+(4y-5z)[/tex]

Open Brackets

[tex]8x+3z-8z^2+4y-5z[/tex]

Collect Like Terms

[tex]8x+3z-5z-8z^2+4y[/tex]

[tex]8x-2z-8z^2+4y[/tex]

Reorder the polynomial

[tex]8x+4y-2z-8z^2[/tex]

Hence, [tex]8x+4y-2z-8z^2[/tex] is equivalent to [tex](8x+3z-8z^2)+(4y-5z)[/tex]

Answer:

D

Step-by-step explanation:

answer on edge

The science teacher asked Ramona and Tino to make a graph of what is similar and what is not similar with plant and animal cells. Which type of graph would be the most appropriate for them to use? A. bar graph B. Venn diagram C. histogram D. circle graph

Answers

Answer:

B. Venn Diagram

Step-by-step explanation:

You would use a Venn Diagram to compare and contrast certain things the others would be a choice for comparing things that is why Venn Diagram is your answer.

Answer:B            thats that

What is the measure of angle HIJ?
Н

Answers

Answer: you forgot to add A pic

Step-by-step explanation:

Tomi stacks four rectangular prisms to build a staircase. He plans to cover the tops, fronts, and sides of the stairs with brick-patterned paper. The rectangular prism at the top has a length of 11 inches, a width of 30 inches, and a height of 7 inches. How much paper, rounded to the nearest square foot, will Tomi need in order to cover the stairs? Explain.

Answers

Answer:

4 sq foot

Step-by-step explanation:

410−x/7 +70=120. please answer fast i will give brainliest

Answers

Answer:

Step-by-step explanation:

410-x/7+70=120

-70.       -70

410-x/7= 50

-410.  -410

-x/7=-360

*7.    *7

-x=-2520

x = 2520

Answer:

Your answer is 2520.

Step-by-step explanation:

How is the product related to the first factor? 4/5 x 4/11

Answers

Answer

The product of the two factors with be a multiple of the first factor. That is, the product when divided by the first factor, will result in zero as the remainder. In this case, the product is 16/55 which is a multiple of 4/5.

About 150,000 people live in a 8-mile radius of a city's town hall. Find the population density in people per square mile. Round your answer to the nearest whole number.

Answers

Answer:

747  people per square mile

Step-by-step explanation:

population of  city's town hall = 150,000

Radius of  city's town hall = 8 mile

area of any circular shape is given by [tex]\pi r^2[/tex].

r is the radius of circle.

p

Area of city's town hall = [tex]\pi r^2= 3.12*8^2 = 3.14*64 = 200.96[/tex]

Population density for any place is ratio of population of that place to area of that place

Thus

Population density for city's town hall = population of  city's town hall /Area of city's town hall

Population density for city's town hall =  150,000/200.96

Population density for city's town hall= 746.42  people per square mile.

Population density for city's town hall  Rounded  to the nearest whole number is 747  people per square mile.

freds dog crate is 42 inches long, 24 inches wide, and has a height of 30 inches. what is the volume of the crate?

Answers

Answer:

20 icnhes

Step-by-step explanation:

not rlly

Am I correct? If not can someone help me

Answers

Answer: you are right

Step-by-step explanation:

Answer:

You are correct

PLZ HELP!!!!!!!


5. How many real number solutions does the equation have?

0= -4x^2+7x+8

A) two solutions
B) one solution
C) no solutions
D) infinitely many solutions

6. How many real number solutions does the equation have?

0= 3x^2+18x+27

Answers

Answer:

  5.  A) two solutions

  6.   one solution

Step-by-step explanation:

5. A graph shows the curve has two x-intercepts, so two solutions. You can also figure this by looking at the discriminant:

  b^2 -4ac = (7)^2 -4(-4)(8) . . . . a positive number

When the discriminant is positive, there are two real solutions.

__

6. The equation factors as ...

  0 = 3(x +3)^2

This will have one real solution at x=-3.

Please help 50 points!!

Answers

Answer:

the first one

Step-by-step explanation:

Since x can be any value, -infinity must be less than x because you can always subtract 1 from x. Also, infinity must be more than x because you can always add 1 to x.

Answer:

The third option is the correct answer because it is proving the property.

Thank you

I've answered as fast as I can to answer your question.Hope you understood it.

Pls mark my answer as brainliest and follow me.

What expression represents the volume of the prism, in cubic units?


One-halfx3

One-halfx2 + x

2x3

2x2+ x

Answers

Answer:

Its A or 1/2x^3

Step-by-step explanation:

Just took the test

Which equation is a linear function?

Answers

im like 60% sure its y=x

Answer:

y = x

Step-by-step explanation:

In general ,A linear function has the form y = ax + b

so ,the functions :

y = √x

y = x²

y = x³

don’t meet the requirements of the definition

therefore none of them is linear.

but y = x is a valid choice (just put a = 1 and b = 0  in the expression y = ax + b)

What is the slope of the line on the graph?

Answers

Answer:

2

Step-by-step explanation:

We can find the slope by

m = (y2-y1)/(x2-x1)

    = (4-2)/(-1 - -2)

    = (4-2)/( -1 +2)

    =2/1

   = 2

Answer:

2

Step-by-step explanation:

slope= [tex] \frac{y1 - y2}{x1 - x2} [/tex]

Thus, slope of the line

[tex] = \frac{4 - 2}{ - 1 - ( - 2)} \\ = \frac{2}{2 - 1} \\ = \frac{2}{1} \\ = 2[/tex]

WILL MARK BRAINLIEST-30 PTS---On a coordinate plane, polygon GHIJ translates 8 units to the left to form polygon G'H'I'J'. Which of the following equations is not necessarily true?
A.
GH = G'H'
B.
G'G = 8 units
C.
m∠HIJ = m∠H'I'J'
D.
m∠HI'J = m∠H'IJ'

Answers

Answer:

The question is asking to choose among the following choices that states the equation that is not necessarily true about the said coordinate plane and in my further calculation, the answer would be G'H' = 8 units.

( I think you made a mistake when writing the answer choice for B, because the correct answer is G'H' = 8 units )

Anyways, Hope this helps!

Answer: B

Step-by-step explanation:

Find the probability of the outcome

Answers

Step-by-step explanation:

Total marbles = 2 + 4 +1 + 8 = 15 marbles

Probability of blue marble = 4 / 15

Probability of green marble = 2 / 15

Answer:

4/105

Step-by-step explanation:

Total number of marbles: 2 + 4 + 1 + 8 = 15

Number of blue marbles: 4

First drawing:

p(blue marble) = 4/15

Now there are 14 marbles left.

Number of green marbles: 2

p(green marble) = 2/14 = 1/7

p(blue then green) = p(blue) * p(green) = 4/15 * 1/7 = 4/105

Answer: 4/105

Exterior angle equation:
3x= (x + 15) + 43

Answers

Answer:

x=29

Step-by-step explanation:

3x=x+58

2x=58

x=29

Gina has $ 12,000 in investments, has an $ 800 outstanding credit card bill, owes $ 5600 on her car payment, and has $ 15,000 left on her student loans. What is the total of her liabilities?

Answers

Answer:

Step-by-step explanation:

21400

The present shown below is a cube. Find the surface area of the present.
the width and height and length 15

Answers

1350 (dont take my word for it, but i belive this is right)

Answer:

1350 (I did it on khan and I got it correct)

Step-by-step explanation:

Do the following points belong to the graph of the function f(x)=13−5x ? (-2,23)

Answers

Answer:

Yes!

Step-by-step explanation:

When we have problems like this we just plug them in. We take the -2 and we multiply it by the -5 to get a positive 10. We then add that to the +13 and it equals 23, so it works!

Yes!
You plug in the -2 into x and the 23 into f(x).

f(23)= 13-5(-2)
f(23)= 13+10
f(23)= 23

What is the measure of arc c?
190
95
120
70

Answers

Answer:

70°

Step-by-step explanation:

By inscribed angle theorem:

[tex] 95° = \frac{1}{2}(c + 120°)\\\\

\therefore 95°\times 2 = c + 120°\\\\

\therefore 190° = c + 120°\\\\

\therefore c = 190° - 120°\\\\

\huge \orange {\boxed {\therefore c = 70°}} [/tex]

Find the length of AM.

Answers

Answer:

AM = 26

Step-by-step explanation:

AM = MC

x+20 = 5x-4

Subtract x from each side

x+20-x = 5x-x-4

20 = 4x-4

Add 4 to each side

20+4 = 4x-4+4

24 = 4x

Divide by 4

24/4 = 4x/4

6 =x

We want AM

AM = x+20

       =6+20

      =26

Answer:

26

Step-by-step explanation:

x+20=5x-4

x+24=5x

24=4x

x=6

x+20

substitute 6 for x

6+20

26

What's the rule?
25, 20, 15, 10

Answers

Answer:

subtract 5

Step-by-step explanation:

Hello

I think I can help you here.

The answer is:

The rule is 5!

Step-by-step explanation:

It goes up in 5's each time. The 5 times table.

Please mark my answer.

Cheers, Jake

How do you determine if polygons are similar?

Answers

Answer:

To find the scale factor, we simply create a ratio of the lengths of two corresponding sides of two polygons. If the ratio is the same for all corresponding sides, then this is called the scale factor and the polygons are similar.

QUESTION 5 What is the area of the trapezoid?

Answers

Answer:

126 in^2

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2) h

A = 1/2 ( 12+16)*9

A = 1/2 (28) *9

  = 126

Answer:

126 ^2 in

(12)+(16)/2 * (9)

Area= a+b/s(h)

Step-by-step explanation:

CAN SOMEONE please help me with this hard homework question i will really appreciate if you did

Answers

Answer:

Please check the attached picture

Step-by-step explanation:

In the first row, there are 5 players in total, 4 of them practice extra time, then 5 - 4 = 1 player does not practice extra time.

In the second row, there are 5 players in total, 2 of them practice extra time, then 5 - 2 = 3 players do not practice extra time.

In the third row, there are 8 players in total, 2 of them practice extra time, then 8 - 2 = 6 players do not practice extra time.

We finally add up each column, to complete the table.

I hope this helps!

Explain how you can determine how much chicken salad
may be purchased for $52.50.​

Answers

Answer:

Depending on how much chicken salad can be purchased for $0.50, you multiply that number by $52.50/0.50.

Step-by-step explanation:

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