Determine the range for the function y = (x - 3 )^2 + 4.

Answers

Answer 1

Answer:

Solutions are x=2 and x=−2 . At these points the function has vertical asymptotes. To address the range, let's first transform...


Related Questions

The diameter of a circle is 6 inches. What is the circle's circumference? Use 3.14 for ​.

Answers

Answer: 18.84

Step-by-step explanation:

Formula for circumference of a circle is 2[tex]\pi[/tex]r. Radius is half the diameter so 6/2=3. 2(3.14)(3)= 18.84

The graph represents the piecewise function:
f(x)= { __, if -1 ≤ x ≤ 1; __, if 3 ≤ x ≤ 5 }

Answers

Answer:

4, x-1

Step-by-step explanation:

The first piece of this function goes from -1 to 1. Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

The second piece of this function goes from 3 to 5. This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1. Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis). When putting this equation together we get x-1 being the second part.

The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

What is graph?

In mathematics, the graph of a function f is the set of ordered pairs, where {\displaystyle f(x)=y.} In the common case where x and f(x) are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane.

here, we have,

The first piece of this function goes from -1 to 1.

Since that part of the function is a horizontal line at y=4, and has no slope, this first part is just 4.

so, we have,

The second piece of this function goes from 3 to 5.

This piece does have a slope that you can either solve or just from reading the graph will give you a slope of 1.

Since one of the points is (3, 2), we can figure out that the y-intercept is -1. (You can also just extend the line across the y-axis).

When putting this equation together we get x-1 being the second part.

Hence, The solution is:

The graph represents the piecewise function:

f(x)= { 4, if -1 ≤ x ≤ 1;

         (x - 1), if 3 ≤ x ≤ 5 }

To learn more on graph click:

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hi i need help with this algebra vocabulary please

Answers

Answer:

slope

Step-by-step explanation:

The slope is the rise divided by the run

Answer: The slope.

Step-by-step explanation: That's what I think.

i need help with 3x + 1 >_ 22=

Answers

Answer:

x>7

Step-by-step explanation:

Which of the following is the function f(x) if f^-1(x) = 5x - 19?

A. f(x) = x - 19 over 5
B. f(x) = x + 19 over 5
C. f(x) = 5x + 19
D. f(x) = x over 5 + 19

Answers

Answer:

number of A is correct answer

7) If £1 = €1.14.
Work out what €144 is in pounds.

Answers

Answer:

[tex]126\frac{6}{19}[/tex] £

Step-by-step explanation:

£1 = €1.14  /[tex]*\frac{144}{1.14}[/tex]

£[tex]\frac{144}{1.14}[/tex]=144€= [tex]126\frac{6}{19} \\[/tex]£

pretty simple just fill in the blank from the drop down menu please !

Answers

Answer:

vertical hope this helps

Answer:

vertical, goodluck

Step-by-step explanation:

I took this

Một ủy ban an toàn kiểm tra ngẫu nhiên 900 công nhân xây dựng trong thời gian làm việc, thấy có 48 công nhân không mang mũ bảo hộ. Hãy ước lượng tỷ lệ công nhân không mang mai bảo hộ trong thời gian làm việc với độ tin cậy 98%

Answers

Answer:

The percentage of workers not wearing the helmets is 5.3 %.

Step-by-step explanation:

A safety committee randomly examined 900 construction workers during their work, and found that 48 workers were not wearing helmets. Estimate the percentage of workers who do not wear protective masks during their working time with 98% confidence

total workers = 900

Not wearing helmet = 48

Percentage which are not wearing the helmets

= [tex]\frac{48}{900}\times 100 = 5.3 %[/tex]%

Dan, Harry and Regan sell cars.
Dan sells x cars.
Harry sells 5 more cars than Dan.
Regan sells twice as many cars as Dan.
Write an expression, in terms of x, for the mean number of cars Dan, Harry and Regan sell.

Answers

Answer:

4X+5

Step-by-step explanation:

Dan : X

Harry: X+5

Regan: 2X

X+X+5+2X

Answer:

[tex]Mean = \frac{4x + 5}{3}[/tex]

Step-by-step explanation:

Given:

Dan sold = x

Harry sold 5 more than Dan, that is = x + 5

Regan sold twice as Dan = 2x

[tex]Mean = \frac{ Total \ cars \ sold}{number\ of \ them \ sold \ it }\\\\Mean = \frac{x + ( x+ 5) +2x }{3} = \frac{4x + 5}{3}[/tex]

plz help me with this

Answers

Answer:

27.7

Step-by-step explanation:

Pythagorean Theorem

[tex]88.3^{2}[/tex] - [tex]10.7^{2}[/tex] = [tex]x^{2}[/tex]  (10.7 comes from half of the 21.4 side)

[tex]x^{2}[/tex] = height

If 13 candy bars cost $21.97, how much do 20 candy bars cost?

Answers

Answer: $33.80

Step 1: Find out the cost for one candy bar

To find out the cost for one candy bar, you will need to divide $21.97 by 13. Another way to say this would be by rewriting the equation as 13x=21.97. After dividing, you see that one candy bar is $1.69.

Step 2: Find out the cost for 20 candy bars

To figure out the cost of 20 candy bars, simply multiply the price for one by 20. Another way to say this would be by rewriting this as 1.69x20=33.8.

Step 3: Your answer!

By completing the above steps, you have figured out the answer of $33.80.

Hope this helps!

Find the area of the shape below. GUS PLEASE HEL​

Answers

Answer:

122 squared cm

Step-by-step explanation:

[tex]6*12=72[/tex]

[tex]10*5=50[/tex]

[tex]72+50=122[/tex]

Hope this helps

Answer:

122 squared cm

Step-by-step explanation:

First we split the figure into 2

12 x 6

And,

10 x 5

12 x 6 = 72

and

10 x 5 = 50

Now we add 72 + 50 = 122

give four pairs of prime numbers whose difference is 2​

Answers

Answer:

(3, 1) (5, 3) (7, 5) (13, 11)

Step-by-step explanation:

There are only three of them that I know of:

(7, 5) (13, 11) (19,17)

3
0
5
3
7
4
11
6
O A. {-3,0,3,4,5,6,7, 11}
O B. (-3,4,5,7}
O C. {3, 5, 7, 11)
O D. {-3, 0,4,6}

Answers

Answer:

A. {-3,0,3,4,5,6,7, 11}

Step-by-step explanation:

I'm prettybsure that A is the range because the range of numbers goes from -3 to 11


(6x-4) (3x+4)º find the value of x.

Answers

Answer:

x = 20

Step-by-step explanation:

The angles form a straight line so they add to 180 degrees

6x-4 + 3x+4 = 180

Combine like terms

9x=180

Divide by 9

9x/9 = 180/9

x= 20

20

Hope this helps! :)

______________

What is the solution to the system of equations

Answers

Answer:

(0,3)

Step-by-step explanation:

solve for 2y

-X-2y= -6

2y=6+2x

substitute the given value of 2y into the equation -x-2y=-6

-x-(6+3x)= -6

solve for x

x=0

substitute the given value of X into the equation 2y=6+3x

2y=6+3×0

solve for y

y=3

the solution is (0,3)

180 miles in 3 hours, what's the unit rate?

Answers

Answer:

60 or 60:1

Step-by-step explanation:

You will have to divide 180 by 3 which is 60 or you can divide 160 / 3 = 60 & divide 3 / 3 = 1.

Answer:

60

Step-by-step explanation:

60

Mark has 10 pens. Kate has 5 times as many pens as Mark.
Which equation below answers how many pens Kate has? (y = number of Kate's pens

10 = 5 × y

10 = 5 + y

y = 5 × 10

y = 10 ÷ 5

Answers

Answer:

The third one, y = 5 x 10

Step-by-step explanation:

y = number of Kate's pens, 5 = how many times more pens Kate has than Mark, and 10 = how many pens Mark has.

Read the table.



What does the middle column show?

the names of the countries on the table
how long residents are likely to live
the average education of residents
how the birth rate has changed

Answers

Answer:

How long the residents are likely to live

hope this helps u out

Answer:

How long the residents are likely to live

Step-by-step explanation:

just did it on edge 2022

hope this helps

In 2008, the Los Angeles Times asked members of the American public whether free international trade has helped or hurt the economy. Of those surveyed, a.16 percent said free international trade hurt the economy. b.26 percent said free international trade helped the economy. c.57 percent said free international trade helped the economy. d.30 percent said free international trade hurt the economy.

Answers

Answer:

Option B

Step-by-step explanation:

Of those surveyed, 26 percent said free international trade helped the economy.

They claimed that trade liberalization and increase in investment in physical capital was the main reason behind the growth of the economy.

Hence, option B is correct

.find x in the following figure ​.plsss helppp!!!

Answers

100 hope this helps!!!

Select the correct answer.
Consider this equation.
cos(9) =
V11
5
If & is an angle in quadrant I, what is the value of sin(0)
OA.
V14
5
B.
154
11
OC.
14
5
0D.
154
11

Answers

Answer:

c

Step-by-step explanation:

because x=9

Aan angle in quadrant I, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].

What is the sin theta?

Sin theta is defined as the ratio of perpendicular and hypotenuse.

The given equation is;

[tex]\rm Cos\theta=\dfrac{\sqrt{11} }{5}[/tex]

The cos[tex]\theta[/tex] is given by;

[tex]\rm Cos\theta=\dfrac{Base}{hypotenuse}[/tex]

By applying Pythagoras theorem the value of base is;

[tex]\rm (5)^2=Perpendicular^2+ (\sqrt{11} )^2\\\\ Perpendicular^2= 25-11\\\\ Perpendicular^2=14\\\\ Perpendicular =\sqrt{14}[/tex]

The value of sin[tex]\theta[/tex] is;

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypoteunse}\\\\Sin \theta=\dfrac{\sqrt{14} }{5}[/tex]

Hence, the value of sin[tex]\theta[/tex] is [tex]\rm Sin \theta=\dfrac{\sqrt{14} }{5}[/tex].

Learn more about trigonometry here;

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The diagram below shows a cement patio and a lawn. Both are rectangular in shape.
The length of the patio is 36 feet and its width is 13 feet. The length of the lawn is 28
feet and its width is 9 feet. What is the area of the cement patio around the outside of
the lawn?
36 ft
lawn
9 ft
13 ft
patio
28 ft
Your answer

Answers

Answer:

216 square feet

Step-by-step explanation:

Cement patio outside of lawn

(36*13)-(28*9)

468-252

216

Answer:

216

Step-by-step explanation:

What is the last answer and how is it wrong?

Answers

Answer and Step-by-step explanation:

I think it wants you to keep it in the form it showed. I remember doing this this year, so it should be:

[tex]\frac{f(a+h)-f(a)}{h} = \frac{3a +3h + 6 -(3a + 6) }{h}[/tex]

Then after this step you distribute the negative, and combine like terms. After, you divide the h and you get 3 as your answer.

IF it still doesn't work like how I showed it, contact your teacher for help, saying you are pretty sure you got it right (if you put mine and it didn't work) but it is saying it is incorrect.

#teamtrees #PAW (Plant And Water)

Find the co-ordinates of the points where the line represented by the linear equationy = 2x -4 intersects x-axis and y-axis.

Answers

Step-by-step explanation:

x-intercept => point (2, 0)

y-intercept => point (0, -4)

Which is an equation of the line that passes through (2,-5) and (6, 3)?
A. y=+* -6
B. y = 2x + 12
C. y =
D. y = 2x-9

Answers

Answer:

D

Step-by-step explanation:

Your answer is D trust me

The perimeter of the scalene triangle is 54.6 cm.
*pretend this is the triangle
3a, a b

Which equation can be used to find the value of b if side a measures 8.7 cm?
A. 8.7 + b = 64.6
B. 17.4 + b = 54.6
C. 21.6 + b = 54.6
D, 34.8 + b =54.6

Answers

Answer:

D, 34.8 + b =54.6

[tex]perimeter = s + s + s \\ 54.6 = 3a + a + b \\ 54.6 = 4a + b \\ (4 \times 8.7) + b = 54.6 \\ 34.8 + b = 54.6[/tex]

Length of radius r ?

Answers

Answer: 10

We know that the radius of a circle is always perpendicular to the tangent. And so apply the Pythagoras theorem.

Answer:

The answer would be 10.

Step-by-step explanation:

We're doing C^2 - B^2 = A^2 since we know the hypotenus. 26 x 26 is 676 and 24 x 24 is 576. Subtract the two products to get 100. The square root of 100 is 10.

What is the volume of this cylinder? ​ 6m, 7m

Answers

Answer:

[tex]198\:\mathrm{m^3}[/tex]

Step-by-step explanation:

The volume of a cylinder is given by [tex]V=r^2\pi\cdot h[/tex], where [tex]r[/tex] is the radius of the cylinder and [tex]h[/tex] is the height.

What we're given:

[tex]r[/tex] of 3[tex]h[/tex] of 7

Substituting given values, we get:

[tex]V=3^2\pi\cdot 7,\\V=9\cdot 3.14\cdot 7,\\V\approx 197.82\:\mathrm{m^3}=\boxed{198\:\mathrm{m^3}}[/tex], rounded the nearest cubic meter as requested in question.

Answer:

Volume of cylinder is 197.82 m ³.

Step-by-step explanation:

Here,

We have given that

Diameter of cylinder = 6 m

So, Radius of cylinder, r = 6 / 2 = 3m

Height of cylinder , h = 7 m

Value of π = 3.14

To find :-

Volume of cylinder

Solution :-

We know that,

Volume of cylinder = π × r ² × h

Substitute the values

Volume of cylinder = 3.14 × ( 3m ) ² × 7 m

volume of cylinder = 3.14 × 9m² × 7 m

Multiply , we get

Volume of cylinder = 197.82 m ³

Therefore, The volume of cylinder id 197.82 m ³.

Which expression is equivalent to (25x-4)^16? a.(5x-2)^8 b.(25x-4)^8 c.(5x-2)^4 d.(25x-4)^4

Answers

Answer: 23692929

Step-by-step explanation:

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex](25x-4)^8[/tex]

»»————- ★ ————-««  

Here’s why:

⸻⸻⸻⸻  

[tex]\boxed{\text{Calculating the Answer....}}\\\\\rightarrow\sqrt{(25x-4)^{16}}\\\\\rightarrow (25x-4)^{\frac{16}{2}}\\\\\text{Recall that: }a^{\frac{b}{c}}=\sqrt[c]{a^b}\\\\\rightarrow\boxed{(25x-4)^8}\\\\\text{Side Note: }\frac{16}{2}=8[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

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