How many times does the graph y = (x + 3)2 touch the x-axis?
x

Answers

Answer 1

Answer:

one

Step-by-step explanation:

y = (x + 3)^2

Start with the parent function y = x^2.

y = x^2 touches the x-axis at only 1 point, (0, 0).

The difference between y = (x + 3)^2 and its parent function y = x^2, is that in y = (x + 3)^2, x was replaced by x + 3. That is a translation of 3 units left. The function y = (x + 3)^2 still only touches the x-axis once, but at x = -3.

Answer: one

Answer 2

Answer:

Step-by-step explanation:

To answer this, set the function y = (x + 3)^2 touch the x-axis (where y = 0) and find the actual value(s) of x:

y = (x + 3)^2 = 0

Taking the square root of both sides, we get x + 3 = ±0, or x = -3.  As this equation is a quadratic, there MUST be two roots; the roots are {-3, -3}.  Thus in theory, the graph touches the x-axis in two places, but these two places are identical:   (-3, 0)


Related Questions

The cost C (in millions of dollars) for the federal government to seize p% of an illegal drug as it enters the country is given by
C=528*p/100-p, 0≤p<100

A)Find the costs of seizing 25%, 50% and 75% for the drug.
B) According to the model, would it be possible to seize 100% of the drug? Explain.

Answers

Answer:

b for me hehe ok

Step-by-step explanation:

Explanation

i need help on number 6 and 7 !!! please help!!!! it would be much appreciated

Answers

Answer:

6.) No, you do not agree with Ted.

7.) x = 34 degrees

Step-by-step explanation:

6.) For a triangle to be valid, it must meet these requirements:

a+b>c

a+c>b

b+c>a

If it fails a single one, then it is invalid.

For example: 6+11 is not greater than 4. Therefor, Ted is incorrect

7.) Though you see a square, or rectangle (whatever you want to call it), you can break it up into 2 triangle, only 1 of which you need to solve for.

We have these clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 is a right angle

Any triangle must have its angles sum to 180 degrees

We also know that right angles are equal to 90 degrees.

Our updated clues:

angle 1 = x

angle 2 = 56 degrees

angle 3 = 90 degrees

angles 1+2+3 must equal 180

So we can make this equation:

x+56+90=180

Add like terms and solve for x:

x = 34

you borrow 3000 from the bank to buy your first car the interest rate 5 how much money will you owe the bank at the end of the year

Answers

Answer:

£3150

Step-by-step explanation:

First you divide 5 by 100.

5% Interest Rate = 0.05

Then you times 3000 by 0.05.

3000 × 0.05 = 150

Then your add your answers together.

3000 + 150 = 3150

Answer:

£3150

Step-by-step explanation:

is the correct 1

10x + 6 - 2x - 20 Question 1 options:

12x + 26

8x + 26

8x - 14

12x + 14

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

5x2 + 3 + 3x + x2 – 1

Question 2 options:


6x2 + 3x + 2


9x2 + 2


8x2 + 2


6x2 + 3x + 4

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

(x−13)(x7)(x3)

Question 3 options:


x−10


1x3


x273


x−273

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

(2xy)3

Question 4 options:


2x3y3


8x3y3


6x3y3


6xy

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

xy−5

Question 5 options:


y5x


5xy



xy5


xy5

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

10x6x2



Question 6 options:


10x8


x4


10x4


(10x)4

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

Evaluate


50⋅ 54

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

53

Question 7 options:

Solve proble

Answers

Step-by-step explanation:

10-2x + 6- 20

8x-14 the answer of first question

what is the first thing you draw in creating an angle bisector?

A) a curve intersecting both rays

B) a line segment intersecting both rays

Answers

I’m pretty sure that the answer is A sorry if I’m wrong

Please help, I’ll mark your answer as brainliest!

Answers

The answer would be -5a

solve equation s - 12= 20. s=?

Answers

Answer:

s = 32

Step-by-step explanation:

We have our equation:

s - 12 = 20

And we are trying to find s. Therefore, we can isolate the variable s, which means we have to move all the values from the variables side to the other side, like so:

s - 12 = 20

 +12     +12 (we add 12 to both sides in order to cancel out the -12, and also because whatever we do to one side, you have to do to the other!)

So, now our equation will look like this:

s = 20 + 12,

or,

s = 32

Which happens to be our answer!

Hope this helps :)

Solve the problem.  If there are 2.54 centimeters in 1 inch, how long in inches is a meter stick?

Hint: There are 100 centimeters in 1 meter. Round your answer to the nearest hundredth.​

Answers

Answer:

39.37 inches in a meter stick

Step-by-step explanation:

Set up a proportional ratio: inch/cm = inch/cm

1/2.54 = ?/100                        

2.54 · ? = 100

? = 100/2.54  

? = 39.37 inches    

No Links Please!!I Need Help (I'm Not a Fan Of Math)Thank You So Much If You Help Me Out Here =D

Answers

Answer: 24 boxes

Step-by-step explanation:

Answer:

Arianna can move 24 boxes

5

3:5

256 fluid ounces

Step-by-step explanation:

what it is the equivalent of 7:2

Answers

Answer:

7:2

7/2

Step-by-step explanation:

7:2 is also equivalent to 7/2

What is the expression in factored form?
4x2 +11x+6
O (2x+3)(2x+2)
O (4x+1)(x+6)
O (2x+1)(2x+6)
(4x+3)(x+2)

Answers

Answer:  (4x + 3) (x + 2)

Step-by-step explanation:

We can rewrite 4x² + 11x + 6 as 4x² + 8x + 3x + 6

Since 4x² + 11x + 6  = 4x² + 8x + 3x + 6

                                = (4x + 3) (x + 2)

The  factors of the given expression  [tex]4x^2 +11x+6[/tex]  are  (x+8) and (x+3).

A collection of constants, variables connected using one or more arithmetic operator is called an expression.

An algebraic expression or a number that divides another number without leaving any remainder and the quotient is a whole number is called a factor.

The factors of the following expression can be calculated as:

[tex]4x^2 +11x+6[/tex] = [tex]x^2+ 8x+ 3x+24[/tex]

                     = x(x+8) +3(x+8)

                      = (x+8) (x+3)

Thus, the factors of the [tex]4x^2 +11x+6[/tex] are (x+8) (x+3)

Learn more about factors here:

https://brainly.com/question/29128446

#SPJ7

Can someone please write the points in a notebook please I really need help

Answers

Answer:

Step-by-step explanation:

HELP PLEASEEEE!!!

Which of the following inequalities matches the graph? у 10 8. दा 4 x 2. 6 8 10 --10-8-6-4-2 -2 - -8 -10 | OX-7 Oxs-7 Oy=-7 Oyz-7

Answers

Answer:

45

Step-by-step explanation:

The graph given is of inequality x ≤ -7.

What is an inequality?

In Algebra, inequality is a mathematical statement that shows the relation between two expressions using the inequality symbol.

Given is a graph of an inequality, we need to determine the inequality,

So, the graph is cutting the x-axis at -7 and all the numbers less than -7 is covered by the graph,

so the inequality will be x ≤ -7

Hence, the graph given is of inequality x ≤ -7.

Learn more about inequality, click;

https://brainly.com/question/30231190

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×/2=y/3; y/4=z/4 và x+2y-z=10

Answers

Can you make it clear?

Vector q has a magnitude of 3.5 meters and points due west. Vector r has a magnitude of 3.5 meters and points due east. Both vectors have the same terminal point, but different initial points.
Are the two vectors equivalent?

A
Yes, because the vectors have the same magnitude.
B
Yes, because the vectors the same terminal point.
C
No, because the vectors do not have the same initial point.
D
No, because the vectors do not have the same direction.

Answers

[tex]\huge\mathtt\colorbox{white}{D}[/tex]

By definition, two vectors are equal if and only if they have the same magnitude in the same direction.

[tex]\huge\underline\mathsf\colorbox{cyan}{pl go with D}[/tex]

a
Which picture shows a proper
reflection across the red dashed line?
A
B

Answers

Picture B shows a proper reflection across the red dashed line.

What are transformations on the graph of a function?

Examples of transformations are given as follows:

A translation is defined as lateral or vertical movements.A reflection is either over one of the axis on the graph or over a line.A rotation is over a degree measure, either clockwise or counterclockwise.For a dilation, the coordinates of the vertices of the original figure are multiplied by the scale factor, which can either enlarge or reduce the figure.

For a reflection, the orientation of the figure is changed, keeping the same inclination, and the opposite distance to the reflection line, hence picture b shows the proper reflection.

More can be learned about transformations in a figure at https://brainly.com/question/28687396

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v/13=11/7 solve for v

Answers

Answer:

Step-by-step explanation:

20.29 :)

a
Convert 0.58 into
percentage

Answers

Answer:

58%

Step-by-step explanation:

Answer:




Is 58% converted from 0.58


Peter, Jamal and Khan were on their way to a resort. Peter drove of the journey at a
constant speed of 64 km/h. Jamal took over and drove 5 of the journey for 20 min at
a constant speed of 60 km/h. Khan then took over and drove the remaining journey.
(a) How far did Jamal drive?
(b) How many minutes did Peter drive?

Answers

Answer:

that's what can I give

Step-by-step explanation:

hope it helps

1260=(n-2) x 180what is n?

Answers

Answer:

N = 9

Step-by-step explanation:

1. 1260 / 180 = 7

2. Because we removed 2 before, we're going to add 2 because we're doing it in reverse and we get 9, therefore the answer is 9

Find the sum of the first twelve terms of the sequences 3, -6, 12, -24,..
Show your work.

Answers

if we look at the pattern, we have

let x = 3

x, -2x, 4x, -8x etc


which means what we need is

x + 4x + 16x + 64x, 256x, 1024x - 2x - 8x - 32x - 128x - 512x - 2048x

This is equal to -4113.

Answer:

3, -6, 12, -24, 48, -96, 192, -384, 768, -1536, 3072, -6144...

×-2

Geometric sequence

how many times dose the average person do math a day?

Answers

A little depends on the person

What is 1200 over 480 in mixed number

Answers

9514 1404 393

Answer:

  2 1/2

Step-by-step explanation:

1200/480 = (240·5)/(240·2) = 5/2 = (4/2) +(1/2) = 2 1/2

Find the missing angle measure.

Answers

Answer:

m<a=27º

Step-by-step explanation:

a triangle is 180º total

180-90=90

90-63=27

Fill in the blanks….

Answers

Answer:

2

Step-by-step explanation:

2

Nadia says figure A id dilated to form figure A' using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?

Answers

Answer:

Nadia says figure A is dilated to form figure A9 using a scale factor of 2 and point B as the center of dilation. What mistake did Nadia make? What is the correct scale factor?

Step-by-step explanation:

I need help please can anyone help.

Answers

Answer:

What do you need help on there’s nothing??

plssssss help meh with this

Answers

Answer:

f(-9) = -263

Step-by-step explanation:

f(-9) = -3(-9)^2 - 20

= -3(81) - 20

= -243 - 20

= -263

I need help with 1 1/2 2 1/4

Answers

What do you need help with? Addition? Substraction?

If you’re doing addition, you would do it like this:

1 1/2 + 2 1/4 = 3/2 + 9/4 = 6/4 + 9/4 = 15/4 = 3 3/4

Answer:

1/8

Step-by-step explanation:

11/22  x 1/4 =1/8

*HELP
What is the aspect ratio of a sheet of paper with the following dimensions:

20-inches x 8-inches

Round your answer to the nearest tenth.

Answers

Just multiply 20x8 and the answer will be 160 and just round it to the nearest tenth and the. It’ll be 200
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