1.8.3 practice - functions

15. State the domain and range of each of the following functions
[tex]f(x) = \frac{1}{x + 3} [/tex]
[tex]g(x) = \sqrt{x + 6} [/tex]
[tex]h(x) = x {}^{2} + 2x + 5[/tex]

Answers

Answer 1

Answer its 5982

Step-by-step explana


Related Questions

Type the correct answer in the box.
Winston is creating a rectangular piece of 8-bit art using squares that are x pixels wide. The length of the rectangular piece, in pixels, is represented by the function l(x) = x + 24, and the width of the rectangular piece is represented by w(x) = x + 16.

Write the standard form of the function which describes the total area of the rectangular piece, a(x), in terms of x, the side length of each square pixel.

Answers

Area=l×w

Function:-

[tex]\\ \sf\longmapsto (l*w)(x)[/tex]

[tex]\\ \sf\longmapsto l(x)*w(x)[/tex]

[tex]\\ \sf\longmapsto (x+24)(x+16)[/tex]

[tex]\\ \sf\longmapsto x^2+40x+384[/tex]

The slope intercept form of a linear equation is given by AX true or false

Answers

The slope intercept form is y=mx+b.

pls help I have headache i try everything ​

Answers

Answer:

210 students

Step-by-step explanation:

30%=63

10%=63÷3

      =21

100%=21×10

        =210

Years Since
1970
7
9
17
21
Cost in
Millions
0.1
0.25
0.5
0.75
1.2
1.5
2.2
2.0
2.2
25
29
30
31
33

Linear equations

Answers

Answer:

thanks for the points bye bye man is well with you and your family a very happy and prosperous New year

Step-by-step explanation:

thanks for the points bye bye man is a longest time I thought you were going to you angel I love you too baby girl and I will be in

thanks for the points bye bye man

Help! Give brainliest!

City A grows by 5% every year. In 2001, it has a population of 145,201. What will the population be in 2037?

Answers

Initial population=145,201

Total years=2037-2001=36

[tex]\\ \sf\longmapsto S=P\left(1+\dfrac{r}{100}\right)^t[/tex]

[tex]\\ \sf\longmapsto S=145201\left(1+\dfrac{5}{100}\right)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201\left(\dfrac{105}{100}\right)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201(1.05)^{36}[/tex]

[tex]\\ \sf\longmapsto S=145201(5.79)[/tex]

[tex]\\ \sf\longmapsto S\approx 840713[/tex]

>> Answer

___________

[tex]\:[/tex]

Answer in the picture.

if 1 = 33 seconds how much would 1hour be?

Answers

it would be about 109 because since there is 3,600 seconds in a hour you would have to divide 3,600 by 33

PLEASE ANSWER FAST TIMED TEST

Answers

Answer:

0.0000015

Step-by-step explanation:

Find the volume of the sphere. **30 points**
Either enter an exact answer in terms of pi or with 3.14
Radius=8

Answers

Answer:

The volume of the sphere is 2,143.57

Step-by-step explanation:

The formula for finding the volume of the sphere is

V = [tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]

"r" represents the radius of the sphere. So put the value of it in the formula.

V = ([tex]\frac{4}{3}[/tex])(3.14)([tex]8^{3}[/tex])

V =  ([tex]\frac{4}{3}[/tex])(3.14)(512)

Multiply all of them and you will get:

2143.57333333 or 2,143.57 which is the volume of the sphere

he perimeter of a rectangular field is 342m If the length of the field is 92m what is its width?

Answers

Answer:250

Step-by-step explanation:

342-92

What is the axis of symmetry for f(x) = 2x2 − 4x + 5? x = −2 x = −1 x = 1 x = 2

Answers

Step-by-step explanation:

for a quadratic equation

y = ax² + bx + c

the x value for the axis of symmetry is

x = -b/(2a)

in our case

y = 2x² - 4x + 5

a = 2

b = -4

x = - -4/4 = 4/4 = 1

x = 1 is the correct answer.

what are the first 4 multiples of 4.

Answers

Answer:

the first 4 multiples of 4

Multiples of 4: 4, 8, 12, 16,

Step-by-step explanation:

Answer:

Multiples of 4: 4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, …

Step-by-step explanation:

please mark as brainlist

Hello can someone please help me with this

Answers

Answer:

c)

Step-by-step explanation:

my guess is if she needs 1.04 tablets a day, and 1 tablet is closer to that than any other option listed

Jared's car can travel 320 miles on 1 tank of gasolin. The gas tank of his car holds 22.4 gallon. If one gallon of gas costs $3.46, how much did he pay in gasif he travelled 563 miles. Round answer to nearest hundredth.

Answers

Answer:

39.8, $51.00

Step-by-step explanation:

6
What number should the numerator and denominator of be multiplied by to show that is equivalent to 24 22
3
4

12
36

Answers

Answer:

The answer is 12

6×12= 24

6×12=72

A circle of 5 cm radius is drawn, and another circle 3 cm radius is drawn. What is the radius of a circle that has the same area as the bigger one excluding the cut one?
(a) 2 cm
(b) 3 cm
(c) 4 cm
(d) 5 cm

Answers

Answer:

4 cm

Step-by-step explanation:

assume that y varies directly as x. if y=7 when x=4, find y when x=12

Answers

Answer:

y = 21

Step-by-step explanation:

since y = 7 as x = 4, therefore, when x = 12, y = 21

Think about it. if you divide 7 by 4, you get 1.75 and if you divide 21 by 12, you get 1.75. That means that from 4 to 12, I multiplied by 3, so therefore, y = 21.

Math is really difficult for my smooth brain

Answers

Answer:

77

try to multiply the 0.85 so u can find a suitable number for the dividend.

In a 5k race, the average time for a runner to finish was 25.2 minutes. The standard deviation is 3.5 minutes. ROUND ALL Z-SCORES TO 2 DECIMAL PLACES.
1. What is the z-score of a runner who finished in 20 minutes?
2.what is the z-score of a runner who finished in 30.5 minutes?
3. what is the z-score of a runner who finished in 26 minutes?
4.why are some z-scores negative and some positive? what does a positive z-score tell you? what does negative z-score tell you?


Please Help im so confused!!!

Answers

see link in comments

GIVING 100 POINTS AND BRAINLIEST IF CORRECT! You recently upgraded your experience by buying an Controller for $74.99 and an Game Pass Subscription for $14.99 per month.

Answers

Answer:

Part A: It's linear because it increases at a constant rate of 14.99 dollars per month

Part B: C = 14.99M + 74.99 (y = 14.99x + 74.99)

Step-by-step explanation:

Part A: Every month, you have to pay the same amount.

1 month = 14.99

2 months = 14.99 + 14.99

3 months = 14.99 + 14.99 + 14.99

So, it's linear.

Part B: We have to use the formula y = mx + b, or slope-intercept form, to represent the total cost per month.

m = slope,   b = y-intercept (initial value)

Let's have the total cost  be represented as C

Let's also have the subscription per month be represented as M

So, C would = 74.99, because we only need to pay for a controller once

But we also our subsription per month, M, as 14.99.

So our final answer would be C = 14.99M + 74.99, or y = 14.99M + 74.99 if you can't make your own variables

I wanted to get more indepth. Try adding this to notes! <3

At a certain time of day, a tree that is x meters tall casts a shadow that is x - 23 meters long. If the distance from the top of the tree to the end of
the shadow is x + 2 meters, what is the height, x, of the tree?

Answers

Answer:

The height, x of the tree is 35 meters

Step-by-step explanation:

use Pythagorean  theory to answer

(x+2)^2= x^2+(x-23)^2

[tex]x^{2}[/tex]+4x+4=[tex]x^{2}[/tex]+[tex]x^{2}[/tex]-46x+529

re-arrange the equation and collect like terms

[tex]x^{2}[/tex]-50x+525=0

(x-35)(x-15)=0

x=15 or x=35

x cannot be 15 because 15-23 is a negative answer

therefore the height of tree is 35 m

I really need help on this please

Answers

Answer:

When you simplify you get 5/6. Hence both x can be removed and when divided by the exponents you get x cannot be equal to zero. The Answer is the second.

Step-by-step explanation:

Given the scenario in #2 for Kevin, how much interest will he pay over the life of the
mortgage?
A. $62,283.60
B. $24,337.80
C. $28,632.60
D. $64,312.60

Answers

the correct answer is a

find the quotient. (2^4x+4) ÷ (2^x+1)

Answers

Answer:

(16x/2^x+1) + (4/2^x+1

Step-by-step explanation:

the parentheses are there so you know the two arent beside each other

What temperature should I cook this

Answers

fish or while or you or ne or sex

Answer:

350

Step-by-step explanation:

you should cook it between 350-365

what is 42=-7(z-3)Z=

Answers

Answer:

42=7z^2+21z

Step-by-step explanation:

Answer:

-9

Step-by-step explanation:

42=-7(z-3)

42=-72-21

+21       +21

63/-7=-72/7

z=-9

Select the sequence of transformations that are the inverse of rotating a figure 90° counterclockwise and then reflecting it over
the x-axis.
-))
A)
Reflect it over the line y = -x and then reflect it over the x-axis.
B)
Rotate the image 270° counterclockwise and then reflect it in the x-axis.
Rotate the image 180° counterclockwise and then reflect it in the x-axis.
D)
Reflecting it over the x-axis, then over the y-axis and finally over the line y
= X

Answers

B is the answer because it results in the shape being opposite of the original.

72 boxes out of 90 sold what percentage sold

Answers

Answer:

is what is the math thing at you need help with huh

i inserted a picture of the question can you please make it short

Answers

Answer:

C.  12    is the correct answer

Step-by-step explanation:

1.2 x 10¹²

SHEET CAKES
--------------------------------------------
$36 Small (Feeds 12 people)
$46 Medium (Feeds 22 people)
$56 Large (Feeds 32 people)
--------------------------------------------

The new pastry chef at Jackson's Bakery specializes in Sheet cakes for parties. She sold 17 small, 11 medium, and 20 large sheet cakes in one week. How much money did Jackson's Bakery make in one week from sheet cakes?

Answer: $2,245 (I know it for this one but not the next one)

How many people would all of the sheet cakes sold in problem 3 feed?

--------------------------------------------------------------------------------------------------------
(Dont need to tell me the answer just tell the steps I need to do)

Answers

Answer:

The chef sold 17 small sheet cakes. One small sheet cake can feed 12 people, so the small sheet cakes she sold can feed 17*12 people, which is 204 people. Do this for the medium and large sheet cakes as well, and add them up, and you'll get the answer.

Step-by-step explanation:

Hope this helps!

Answer:

1086

Step-by-step explanation:

1. 7x12= 204(small cakes)

2. 11x22=242(medium cakes)

3.20x32=640(large cakes)

4. add all of the products up

so: 204+242+640

= 1086

This should be correct.

Which of the following equations is an example of inverse variation between
the variables x and y?
A. y = 12x
B. y =х
12
C. y= x + 12
D. y = 12
х

Answers

Answer:

The correct answer is option D

Step-by-step explanation:option A : y = x/12 ⇒ x = 12y (wrong option)

option B : y = 12/x ⇒ y * x = 12 (wrong option) and c will be equal 12

option C : y = x + 12 ⇒ not similar to the general form (wrong option)

option D : y = 12/x (corect option)( I meant to switch it around)

The general form of inverse variation between the variables x and y is as following:

where c is constant

So, the correct option is D

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