Let f(x) = x2 − 1 and g(x) = 3x. Find gf and state its domain

Answer:

The equation is in a linear form, which means its in y=mx + b

M is the slope.

Slope is a fancy word for rate of change.

Therefore, the slope/rate of change is...

.860

Answer:

angles 3&7

Step-by-step explanation:

Step-by-step explanation:

3x+6=18

3x=18-6

3x=12

x=4

A

Steliên hợp p-by-step explanaliên hợp ion:

Answer:

10*5 +2(2*2)

50+8

58

Step-by-step explanation:

Answer:

58 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

the sample space is the set that contain all possible outcomes

B-blue, R-red, G-green

sample space is {B,B,B,R,R,G,G,G,G}

so there are 9 possible outcomes

Answer:

see below

Step-by-step explanation:

butterfly = x minutes

breast = y minutes

total is 50 minutes

breast stroke = butterfly +20

Part A

x+y = 50

y = x+20

Part B

Substitute the second equation into the first

x+ (x+20) = 50

2x+20 = 50

2x+20-20 = 50-20

2x = 30

2x/2 = 30/2

x = 15

y = x+20

y = 20+15

y = 35 minutes

35 minutes on the breast stroke

Part C

45 minutes on the butterfly is not reasonable

We only have a total of 50 minutes

50-45 = 5

But he spend more time on the breast stroke ( 20 minutes more), but if he spend 45 minutes on the butterfly, he would have to spend less on the breast stroke.

Answer:

7235 using 3.14 for pi

7238 using the pi button

Step-by-step explanation:

The volume of a sphere is given by

V = 4/3 pi r^3

V = 4/3 pi (12)^3

V = 2304pi

Letting pi = 3.14

V = 7234.56 and rounding to a whole number

V = 7235

Using the pi button

V =7238.22947 and rounding to a whole number

V = 7238

Answer: 7238

Step-by-step explanation:

The formula used is 4/3πr³

Now let's substitute the radius: 12

4/3πr³

=4/3×π×12³

=4/3×π×1728

=7238.22947

but since we are rounding it to the nearest whole number the answer would be 7238

Answer:

The mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.

Step-by-step explanation:

We are given that

Mass of the sun=[tex]M=2.13525\times 10^{30}[/tex] kg

Mass of Mercury, [tex]m=3.285\times 10^{23}[/tex]kg

We have to find how many times greater is the mass of the sun than the mass of Mercury.

Mass of sun/Mass of mercury=[tex]\frac{2.13525\times 10^{30}}{3.285\times 10^{23}}[/tex]

Mass of sun/Mass of mercury[tex]=0.65\times 10^{30-23}[/tex]

Using the property

[tex]a^x/a^y=a^{x-y}[/tex]

Mass of sun/Mass of mercury[tex]=0.65\times 10^{7}[/tex]

Mass of sun/Mass of mercury[tex]=65\times 10^5[/tex]

Mass of Sun=[tex]65\times 10^5[/tex] times Mass of Mercury

Hence, the mass of Sun is [tex]65\times 10^5[/tex] times greater than mass of Mercury.

Answer:

5 hours

Step-by-step explanation:

The charge will be the same when what they pay is equal

100 + 25*number of hours = 50 +35 * number of hours

let number of hours =h

100 + 25h = 50 + 35h, subtract 25 h, and subtract 50 from both sides

100-50 = 35h -25h, combine like terms

50 = 10h , divide by 10 both sides

5 = h , in 5 hours the companies will charge the same amount

Answer:

b

Step-by-step explanation:

Step-by-step explanation:

A monomial function is an expression with only one term. ... For example, a polynomial function is the sum of many monomial functions; If there's only one term in a polynomial function, then it is a monomial function [2]. Monomial functions can take many forms: A monomial (a number by itself is a “monomial”).

Answer:

B. terms in sequences

Step-by-step explanation:

When graphed, a sequence is a scatter plot, a series of dots. (Do not connect the dots). The sum of the terms of a sequence is called a series.

OPTION B is correct.

The range of a sequence consists of terms in the sequences.

We have a statement the range of a sequence consists of.

We have to find which of the given options is a constituent of range of sequence.

A sequence is an arrangement of objects in a particular order. They are of two types - finite and infinite.

Range of a sequence is the set of elements that can be used to plot it graphically. These elements are in general the y - coordinate of the point, with the x coordinate being x = n = 1, 2, 3,4 .... and so on. An example of a range of sequence is Set S = {2, 1, 5, 7, 8}.

Hence, the range of sequence consists of terms of sequence.

To understand more about sequence, visit the link below -

brainly.com/question/21961097

#SPJ2

Answer:

58.83

Step-by-step explanation:

176.50  ÷ 3 = 58.83333

round down

Answer:

In explanation.

Step-by-step explanation:

If we know that Mrs.Fox makes a consitant rate .

meaning if you divide 176.50 by 3

you get 58.833333 but since money can only go up to two decimal places,

we round and get 58.83 dollars per hour.

Answer:

ok

1 b

2c

3a

4f

5d

6g

7e

9g

10i

Answer:

-5=-3+a

-5+3=a

a=-2

value of a is -2

Answer:

B. ab+ac=d

Step-by-step explanation:

Answer:

ab + ac = d

Step-by-step explanation:

a(b+c)=d

Distribute the a

ab + ac = d

Answer:

Angle CAB

Step-by-step explanation:

Find the points that correspond to angle 2 and name them in order.

Answer:

[tex]n^{2} +18^{2} =x^{2}[/tex]

[tex]6^{2} +x^{2} =m^{2}[/tex]

[tex]6^{2} +18^{2} +n^{2} =m^{2}[/tex]

[tex]m^{2} =n^{2} +360[/tex]

[tex]n^{2} +36=m^{2}[/tex]

[tex]m=15[/tex]

OAmalOHopeO

Answer:

Step-by-step explanation:

I don't see Wen's work, but I'll show you mine!

We can create a set of coordinates for each of these sets of data, where x is the time in hours, and y is the number of degrees in Fahrenheit.

At time 0, the temp is 0: (0, 0)

5.75 hours late, the temp is -15.5: (5.75, -15.5)

We can find the change in temp per hour by using the slope formula, since slope is, after all, the rate at which something is changing.

[tex]m=\frac{-15.5-0}{5.75-0}=\frac{-15.5}{5.75}=-2.7[/tex] That is rounded to the tenths place from -2.695652174 so you can round it however you need. What the interpretation of this number is is that temp is falling at a rate of 2.7 degrees F per hour.

Answer:

- 2 16/23 degrees / hr

Step-by-step explanation:

15 1/2 = 31/2

5 3/4 = 23/4

31/2 ÷ 23/4 =

31/2 ×  4/23 =  124/46 = 62/23 = 2 16/23

Answer:

1 student

Step-by-step explanation:

From the Vann diagram attached below,

Let x represent the number of students who took 3 subjects.

Therefore,

100 = (42-9-11-x)+11+x+9+10+(35-10-11-x)+(30-9-10-x)+20

100 = 22-x+11+x+9+10+14-x+11-x+20

100 = 97-2x

2x = 100-97

2x = 3

x = 3/2.

x = 1.5

x = 1 student

Let s be the plane's speed in still air and w the wind speed. Then

s - w = (6060 km)/(6 h) = 1010 km/h

s + w = (12,150 km)/(9 h) = 1350 km/h

Adding these equations together eliminates w and lets you solve for s :

(s - w) + (s + w) = 1010 km/h + 1350 km/h

2s = 2360 km/h

s = 1180 km/h

Answer:

2x+3=3x+7

2x-3x=7-3

x= 4

Step-by-step explanation:

[tex]here \: 3x + 7 = 2x + 3 \\ 3x - 2x = 3 - 7 \\ x = - 4 \\ thank \: you[/tex]

Answer:

?=25

Step-by-step explanation:

15/x=21/x+10

Cross Multiply

15X+150=21X

SUBTRACT 15 X ON BOTH SIDES.

150=6x

DIVIDE 6 IN BOTH SIDES.

x=25

Hi there!  

»»————-　★　————-««

I believe your answer is:  

d – 22 ≥ 28

d ≥ 50  

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Information Given:}}\\\\d - \text{Initial amount of money}\\\\\text{22 dollars was spent, and there are 'at least' 28 dollars left.}[/tex]

⸻⸻⸻⸻[tex]\boxed{\text{Setting up an inequality:}}\\\\\text{22 dollars was spent from the initial amount, 'd'.}\\\\d - 22\\\\\text{There are \textbf{at least} 28 dollars left. "At least" indicates a \underline{greater than or equal to} sign.}\\\\\rightarrow \boxed{d-22\geq 28}[/tex]

⸻⸻⸻⸻

[tex]\boxed{\text{Solving the inequality:}}\\\\d - 22\geq 28\\-------------\\\rightarrow d - 22 + 22 \geq 28 + 22\\\\\rightarrow \boxed{d \geq 50}[/tex]

⸻⸻⸻⸻

[tex]\text{Your answer should be: }\boxed{d-22\geq 28; \text{ }d \geq 50}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««

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

10x2=20

20+15=35

35÷2=17.5

Answer:

It is a consistent way of measuring the amount of alcohol in a drink.

Step-by-step explanation:

A standard drink measure is principally used to measure the amount of alcohol in a drink. It may be referred to as equalling the amount you of an alcoholic drink. The standard drink measure contains approximately 14 grams of alcohol. Hence, with with the standard drink measure, a consumer obtain a consistent measure of the alcohol content he/she is consuming. The standard drink measure is an alcohol related measure and not just any drink or food guage.

Answer:

I believe it is (-8,-9)

Step-by-step explanation:

I plugged the line into desmos then did the rotation