What is the vertex of the graph of the function f(x) = (x + 2)^2 − 3?

Answers

Answer 1
25 it should be the answer

Related Questions

Factorize (a+b)²-4ab​

Answers

Answer:

(a - b)²

Step-by-step explanation:

(a + b)² - 4ab

= a² + 2ab + b² - 4ab

= a² - 2ab + b²

= (a - b)²

Player 1 starts with $10. Suppose that Player 1 gives $2 to Player 2. How much money will Player 2 get?
$0
$2
$6

Answers

Answer:

$2

Step-by-step explanation:

If Player 1 gives $2 to player 2, then player 2 would have $2 and player 1 would have $8

the diameter of circle Q is 14 cm. Find the arc length of PR.

Answers

Answer:

4.15, or 1.32pi

Step-by-step explanation:

arclength is circumference(34/360)

so pi x d (34/360)

3.14 x 14 x (34/360) = 4.15, or 1.32pi

The arc length PR is 4.151 cm.

What is a circle?

A circle is a closed, two-dimensional object where every point in the plane is equally spaced from a central point. The line of reflection symmetry is formed by all lines that traverse the circle. Moreover, every angle has rotational symmetry around the centre.A section of a line that runs from a circle's centre to any point on the circle itself. "R" or "r" stand for the circle's radius.

As per the given data:

The diameter of circle Q = 14 cm

From the given diagram:

∠PQR = 34°

For finding out the arc length PR:

arc length = angle in radian × radius

radius = diameter / 2 = 14 / 2 = 7 cm

angle in radian = 34° × (π / 180°) = 0.593 radians

arc length PR = 0.593 × 7 = 4.151 cm

Hence, the arc length PR is 4.151 cm.

To learn more about circle, click:

brainly.com/question/29142813

#SPJ3

According to the rational root theorem which of the following are possible roots for the function below x^4-29x^2+100

Answers

Hello,

The rational roots may be all divisors of 100

+1,-1,+2,-2,+4,-4,+5,-5,+10,-10,+20,-20,+25,-25,+50,-50,+100,-100

f(x)=x^4-29x^2+100

f(5)=5^4-29*5^2+100=0 : 5 is a root

f(-5)=(-5)^4-29*(-5)²+100=0 : -5 is a root

f(2)=2^4-29*2²+100=0 : 2 is a root

f(-2)=(-2^)^4-26*(-2)²+100= 0 : -2 is the last root.

Which is the best estimate of 162% of 79?

Answers

First, you round your numbers:

162% to 160

and

79 to 80

I would divide 160 (%) by 80 which, obviously, is 2

My best estimate would be 2

Hope this helps!

(If you have any questions about how i got this answer, feel free to ask in the comments. Also, if you find this answer helpful, please consider marking it brainliest, Thanks!)

I think it's answer is 79 just guess

what is the value of b in this equation?

A. -20
B. -6
C. 6
D. 20

Answers

Answer:

Step-by-step explanation:

a- 12

b- 2

c- 11

and the next part is

x- 6

y- 18

Answer:

B

Step-by-step explanation:

Using the rules of exponents

[tex](a^m)^{n}[/tex] = [tex]a^{mn}[/tex]

[tex]a^{-m}[/tex] = [tex]\frac{1}{m}[/tex]

Then

[tex](y^b)^{4}[/tex] = [tex]\frac{1}{y^{24} }[/tex]

[tex]y^{4b}[/tex] = [tex]y^{-24}[/tex]

Equate the exponents

4b = - 24 ( divide both sides by 4 )

b = - 6 → C

Find the TWO integers whos product is -12 and whose sum is 1

Answers

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3

Let integers be x and x-1

ATQ

x+x-1=1

[tex]\\ \sf\longmapsto 2x-1=1[/tex]

[tex]\\ \sf\longmapsto 2x=1+1[/tex]

[tex]\\ \sf\longmapsto 2x+2[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{2}{2}[/tex]

[tex]\\ \sf\longmapsto x=1[/tex]

Now

[tex]\\ \sf\longmapsto x-1=1-1=0[/tex]

The integers are 1 and 0

But

Integers can be x and 1-x as their sum is 1

[tex]\\ \sf\longmapsto x(1-x)=-12[/tex]

[tex]\\ \sf\longmapsto x- x^2=-12[/tex]

[tex]\\ \sf\longmapsto x^2-x-12=0[/tex]

[tex]\\ \sf\longmapsto x^2-4x+3x-12=0[/tex]

[tex]\\ \sf\longmapsto x(x-4)+3(x-4)=0[/tex]

[tex]\\ \sf\longmapsto (x-4)(x+3)=0[/tex]

[tex]\\ \sf\longmapsto x=4,-3[/tex]

Find the equation of a line that is perpendicular to y = -3x – 1 and passes through the point
(3,2).
Give your answer in the form y = mx + b.

Answers

the answer is:
y = 1/3x + 1
I think the answer is y= ⅓ + 1

The equation of line r is y = 1/2 * x + 1 line runs parallel to line r and passes through (2, 5) what would be the equation of line 8 ?help please

Answers

Answer:

x - 2y + 8 = 0

Step-by-step explanation:

that is the procedure above

Solve for the questions (both of them) and label you answers for which question

Answers

Jjbbh I don’t under stand

C.P 0f 16 oranges is equal to the Sip of 22
oranges. find profit
percent
or LOSS

Answers

Step-by-step explanation:

Given that :

C.P of 16 oranges is equal to the SP of 22 oranges.

To calculate :

Profit or loss %.

Calculations :

LCM of 16 and 22 is 176.

Let the CP of 16 oranges be Rs. 176 and also let the SP of 22 oranges be Rs. 176.

So,

➝ CP of 16 oranges = Rs. 176

➝ CP of 1 orange = Rs. 176 ÷ 16

CP of 1 orange = Rs. 11

And,

➝ SP of 22 oranges = Rs. 176

➝ SP of 1 orange = Rs. 176 ÷ 22

SP of 1 orange = Rs. 8

______________

Here, CP is greater than SP. So, here is loss.

➝ Loss = CP ― SP

➝ Loss = Rs.(11 ― 8)

Loss = Rs. 3

______________

Finding the loss%,

★ Loss % = {(Loss/CP) × 100} %

➝ Loss % = {3/11 × 100} %

Loss % = 27.27 %

Therefore, loss% is 27.27%.

Una pelota se lanza con velocidad inicial en el eje horizontal de Vx =1.55 m/s, y velocidad inicial en el eje vertical de Vy = 3m/s. Calcule la magnitud de la velocidad, ángulo de lanzamiento, y alcance máximo.

Answers

Answer:

Step-by-step explanation:

Module 5: Directions: Respond to this question to demonstrate your understanding of the topic/content. Be sure to provide adequate and relevant details learned in the module to support your response. Pay close attention to organizing your response so it makes sense and uses correct grammar. Your response should be at least 5-7 sentences at a minimum.


Question: How do you determine whether a system of linear equations has no solution, one solution, or infinitely many solutions? Describe what each type of solutions look like.

Answers

Answer:

Step-by-step explanation:

H

What is the value of Z?

Answers

Answer:

137

Step-by-step explanation:

Since angle Z and the angle of 43° are supplementary, the sum of them must equal 180. Therefore,

∠Z + 43 =180

∠Z = 137°

Answer:

137 degrees

Step-by-step explanation:

First thing, we know y is 43 because 43 degrees and y are vertical angles meaning they are congruent. (This is just a small part doesn't really do much though.)

Straight lines add up to 180 so simply just subtract 43 from 180.

180 - 43 = 137.

Therefore,

z =  137 degrees

For 12-15, find the missing measures

Answers

12.

7, 14, 14pi, 7^2pi

13.

13, 26, 26pi, 13^2pi

14.

9, 18, 18pi, 9^2pi


15.

10, 20, 20pi, 10^2pi

Graph the integer 3 and its opposite on a number line.

Answers

the answer is C because it tells you to graph 3 AND the opposite which is -3

Choose the smallest number. 3/18 10/3

Answers

Answer:

3/18

Step-by-step explanation:

3/18= 0.16

10/3= 3.33

Answer:

3/18

Step-by-step explanation:

3/18 , 10/3

Simplify it to the smallest size

3/18 , 10/3

1/6 , 10/3

1/6 = 3/18

X
2
4
00
12
V
4
2.
1
2/3

Answers

Answer:

She used a graphing tool to display the data in a scatter plot, with x representing the number of ice cubes and y representing the milliliters of juice. Then she used the graphing tool to find the equation of the line of best fit:

y = -29.202x + 293.5

Step-by-step explanation:

Select the correct answer.

Maya collected data about the number of ice cubes and milliliters of juice in several glasses of juice and organized the data into this table

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Answer:

Rectangle shaped cross section is formed by intersection of plane and prism.

Step-by-step explanation:

Given: A rectangular Prism.

To find: Shape of Cross Section when a plane intersect the prism diagonally

A plane intersect the Rectangular prism .i.e, Cuboid diagonally which means plane passes from top edge of cuboid to edge on bottom on opposite side.

Figure is attached.

In this way we get a Rectangular shaped Cross section which includes edges of cuboid and diagonals of the side faces.

Therefore, Rectangle shaped cross section is formed by intersection of plane and prism.

Find the value of x from the following given figures.​

Answers

solution :-

here,

We know that interior opposite angles are equal.

So,

110° = 50° + x (being interior opposite angles)

110° - 50° = x

60° = x

the value of x =60°

hope it is helpful to you ☺️

pls help and explain answer!!
At a certain point in time, a physicist measures the
speed of a falling object to be 17.6 feet per second.
What is the equivalent speed in miles per hour?
(5280 feet = 1 mile)

Answers

Answer:

0.003 miles per hour

Step-by-step explanation:

Well since 5280 feet gives 1 mile den convert 17.6 feet per sec to miles per hr

Please help me with 1-6 (means) ASAPPPPP
I will give brainiest

Answers

Answer:

Geometric mean of [8,18] = 12Geometric mean of [3,7] = 4.58Geometric mean of [5,8] = 6.32Geometric mean of [8,4] = 5.65Geometric mean of [6,3] = 4.24Geometric mean of [2,8] = 4

Step-by-step explanation:

Given:

Geometric mean of two digit = √ab

Answer 1;

Geometric mean of [8,18] = √(8)(18)

Geometric mean of [8,18] = √144

Geometric mean of [8,18] = 12

Answer 2;

Geometric mean of [3,7] = √(3)(7)

Geometric mean of [3,7] = √21

Geometric mean of [3,7] = 4.58

Answer 3;

Geometric mean of [5,8] = √(5)(8)

Geometric mean of [5,8] = √40

Geometric mean of [5,8] = 6.32

Answer 4;

Geometric mean of [8,4] = √(8)(4)

Geometric mean of [8,4] = √32

Geometric mean of [8,4] = 5.65

Answer 5;

Geometric mean of [6,3] = √(3)(6)

Geometric mean of [6,3] = √18

Geometric mean of [6,3] = 4.24

Answer 6;

Geometric mean of [2,8] = √(2)(8)

Geometric mean of [2,8] = √16

Geometric mean of [2,8] = 4

A(-4,-2), B(-1,-1), C(-1,-4)

what are the coordinate of triangle ABC when reflected over the line y=-x?

A). A'(-2,4), B'(1,1), C(-4,1)
B). A'(2,4), B'(1,1), C(4,1)
C). A'(4,2), B'(1,2), C'(2,1)
D). A'(2,4), B'(1,-1),C' (4,-1) ​

Answers

Answer:

B

Step-by-step explanation:

Fip numbers and change both signs when reflecting over y=-x

Answer:

C

Step-by-step explanation:

find the value of "a" and "b" for which the limit exists both as x approaches 1 and as x approaches 2:

Answers

Answer:

a = 4

b = -2

Step-by-step explanation:

If the given function is continuous at x = 1

[tex]\lim_{x \to 1^{-}} f(x)=(x+1)[/tex]

                     [tex]=2[/tex]

[tex]\lim_{x \to 1^{+}} f(x)=ax+b[/tex]

                     [tex]=a+b[/tex]

[tex]\lim_{x \to 1} f(x)=ax+b[/tex]

                   [tex]=a+b[/tex]

And for the continuity of the function at x = 1,

[tex]\lim_{x \to 1^{-}} f(x)=\lim_{x \to 1^{+}} f(x)=\lim_{x \to 1} f(x)[/tex]

Therefore, (a + b) = 2 -------(1)

If the function 'f' is continuous at x = 2,

[tex]\lim_{x \to 2^{-}} f(x)=ax+b[/tex]

                     [tex]=2a+b[/tex]

[tex]\lim_{x \to 2^{+}} f(x)=3x[/tex]

                     [tex]=6[/tex]

[tex]\lim_{x \to 2} f(x)=3x[/tex]

                   [tex]=6[/tex]

Therefore, [tex]\lim_{x \to 2^{-}} f(x)=\lim_{x \to 2^{+}} f(x)=\lim_{x \to 2} f(x)[/tex]

2a + b = 6 -----(2)

Subtract equation (1) from (2),

(2a + b) - (a + b) = 6 - 2

a = 4

From equation (1),

4 + b = 2

b = -2

In an extensive study involving thousands of British children, Arden and Plomin (2006) found significantly higher variance in the intelligence scores for males than for females. Following are hypothetical data, similar to the results obtained in the study. Note that the scores are not regular IQ scores but have been standardized so that the entire sample has a mean of M 5 10 and a standard deviation of s 5 2. a. Calculate the mean and the standard deviation for the sample of n 5 8 females and for the sample of n 5 8 males. b. Based on the means and the standard deviations, describe the differences in intelligence scores for males and females.

Answers

Answer:

mean value of female = 10.000

standard deviation of female = 1.604

mean value of male = 10.000

standard deviation of male = 2.449

Step-by-step explanation:

Given:

n=8 females

n=8 males

The objective is to find the mean and deviation and also based on the mean and the standard deviation have to describe the differences in intelligence scores for males and females

Solution:

The mean and the standard deviation are found by using MINITAB

The MINITAB procedure is explained as follows,

Step 1

choosing start > Basic statistics > Display Descriptive Statistics

Step 2

In variables supposed to enter the columns Female and Male

Step 3

Here choosing option statistics and select Mean and standard deviation

Step 4

Finally clicking OK

MINITAB output is as follows,

variable Mean standard deviation

Female 10.000 1.604

Male 10.000 2.449

b)

From the MINITAB output the mean are same for females and males.

Here the standard deviation of females is less than the standard deviation of males. That is the male scores are more variable when compared to female scores.

BRAINLIEST FOR EXPLANATION (my own question)
SO when you have a point on a graph, say it's at (-3,7), and you have to graph the dot after a rotation of 90 degrees counterclockwise around the origin, how would you know what to do?
So I know it is (x,y)--> (-y,x), but having the dot as (-7,3) wouldn't work if you followed that equation. Am I doing it right? If not, how would you apply that 'equation' to (-3,7)?

Answers

Answer:

(-7, -3)

Step-by-step explanation:

So the formula is (x, y) --> (-y, x) for a 90 degrees counterclockwise rotation.

To apply this formula to (-3,7), first identify which is the x-coordinate and which is the y-coordinate.

x-coordinate is -3 & y-coordinate is 7

Then you literally just substitute it into the formula like so:

(-y, x) -->(-(7), (-3)) --> (-7, -3)

Try to put parantheses around the coordinate when substituting to prevent confusion & incorrect negative signs.

Hope it helps and good luck (●'◡'●)

Answer:

(-7,-3)

Step-by-step explanation:

You could read (x,y)->(-y,x) as if I have the point (x,y), the image point is (opposite of y,x).

So shorthand the rule is just saying

(x,y)->(opposite of y, x)

(-3,7)->(-7,-3)

A few more examples:

(5,7)->(-7,5)

(-5,7)->(-7,-5)

(-5,-7)->(7-,5)

(5,-7)->(7,5)

This whole explanation comes down to reading-u as opposite of u.

Opposite just means to change the sign.

Another way to read -u is -1×u.

Example:

Q: evaluate -u if u=8

A: -8

Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×8=-8 or the opposite or 8 is -8.

Example:

Q: evaluate -u if u=-8

A: 8

Why? -u means -1×u or opposite or u. Take your pick in reading it. It's the same meaning just different ways of reading. -1×-8=8 or the opposite or -8 is 8.

Drag the tiles to the correct boxes to complete the pairs match the scale drawing area and the actual area to the correct scale

Answers

Answer:

[tex](a)\ r = 1in : 9ft[/tex]

[tex](b)\ r = 1 in: 15ft[/tex]

[tex](c)\ r = 1 in: 16ft[/tex]

[tex](d)\ r = 1in:4ft[/tex]

Step-by-step explanation:

Given

See comment for complete question

Required

The scale of each area

The scale ratio (r) is calculated as:

[tex]r = scale:actual[/tex]

So, we have:

(a)  scale : 13 square inches  and actual : 117 square feet

[tex]r = 13in : 117ft[/tex]

Divide by 13

[tex]r = 1in: 9ft[/tex]

(b) scale : 5 square inches  and actual : 125 square feet

[tex]r = 5in : 125ft[/tex]

Divide by 5

[tex]r = 1in : 25ft[/tex]

(c) scale : 8 square inches  and actual : 128 square feet

[tex]r = 8in : 128ft[/tex]

Divide by 8

[tex]r = 1in : 16ft[/tex]

 

(d) scale : 12 square inches  and actual : 48 square feet

[tex]r = 12in : 48ft[/tex]

Divide by 12

[tex]r = 1in:4ft[/tex]

two significant figures, 18.96 x 2.03 is

Answers

is there a picture that comes w this problem?

Tara looks up hotel room prices for a holiday.
A hotel has a 25% off sale on its prices.
A VAT charge of 20% must be added on at the end of the transaction after any discount.
If the regular price of a room is £90 per night, how much will Tara pay for 4 nights?

Answers

Answer:

Tara has to pay £324 for 4 nights

Step-by-step explanation:

Regular price of a room per night

= £90

Regular price of a room for 4 nights

= 90*4

= £360

Price of a room for 4 nights after discount

= 75% (360)

= 75/100 * 360 = 75 * 3.6

= £270

Price of the room after charging VAT

= 270 + 20%(270)

= 270 + 20/100 * 270

= 270 + 2 * 27

= 270 + 54

= £324

Four friends all five each other presents
The total cost of presents is £80.52
Work out the mean cost of presents in pounds

Answers

Step-by-step explanation:

Four friends all give each other presents. The total cost of the presents is £80.52. We need to find the mean cost of a present in pounds. So, the mean cost of a present is equal to 20.13 .

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