02.07 MC)

Which of the following is the average rate of change over the interval [−2, 5] for the function g(x) = log2(x + 3) − 4?

3 over 7
5 over 7
7 over 3
7 over 5

Answers

Answer 1

Answer:

3/7

Step-by-step explanation:

[tex]g(-2)=\log_{2}(1)-4=-4 \\ \\ g(5)=\log_{2}(8)-4=-1 \\ \\ \frac{g(5)-g(-2)}{5-(-2)}=\frac{-1-(-4)}{5-(-2)}=\frac{3}{7}[/tex]


Related Questions

Bigcity United played thirty games last season. They won 60% of these. How many games did they lose?

Answers

Answer:

Bigcity United lost 12 games.

Step-by-step explanation:

Since you know the percentage of games Bigcity United won, first you need to determine the percentage of games that they lose by subtracting the percentage of games they won from 100%:

100%-60%=40%

Now, you know that they lost 40% of the games and you can calculate 40% of the number of games they played last season:

30*40%=12

According to this, the answer is that Bigcity United lost 12 games.

What is the slope-intercept equation for the line below?
5
(54)
(0, 2)
- A. y = 2 x + 2
D. -- +2

Answers

It would be at 35 when you work all then problems together

There are 120 pieces of candy in a bag. Fill in the table below to determine the number of pieces of each color

Answers

Answer:

Blue = 30

Green = 24

Red = 54

Orange = 12

Step-by-step explanation:

hahahshahhahahahahahauehfudbrog f ghg

Anyone know how to do this?

Answers

Answer:

yes its B mark brainliest please

Step-by-step explanation:

IT IS

B

B

B

B

B

Can someone help me find the distance between each pair of points round the answers to the nearest tenth if necessary please help with 2,4 show me how you get it and the answer please

Answers

Answer:

I'm not really understanding this question can you give me some more info

I need help, please anyone!

Answers

1.45 is the answer! brainliest

Find the value of x then find the angle measures of the polygon

Answers

Answer:

X=135⁰

Step-by-step explanation:

The sum of angles= 540

Angles are x⁰ x,⁰(x-45⁰),(x-45)⁰

x+x+x+x-45+x-45+x-45=540

5x-135=540   simplify

5x=540+135   Add 135 to both sides

[tex]\frac{5x}{5} =\frac{675}{5}[/tex]

divide both sides by 5

X=135⁰

hope it helps....

One number is 5 more than another number. Three times the greater plus twice the lesser is 30. Determine the numbers.

Answers

Answer:

.

Step-by-step explanation:

Answer:

Step-by-step explanation:

One number is 5 more than another number. Three times the first plus twice the second is 30.Find the numbers.

x = first number

y = second number

x=y+5

3x +2y = 30

lets substitute x=y+5 in the second equation for x;

3(y+5) + 2y =30

3y + 15 + 2y = 30

5y + 15 =30

5y = 30 -15

5y = 15

y = 3

Now that we have y lets plug that answer into either equation for y;

x = 3 + 5

x = 8

:) if I’m wrong I’m very sorry.

A rectangular prism is 20 yards long and 9.4 yards wide. Its volume is 3,384.0 cubic yards. What is the height of the rectangular prism?

Answers

5,6930 I did the work

Solve f(x) = 2x + 2 what would f(x)=20

a. 20
b. 10
c. 9
d. 8​

Answers

Answer:

the answer is c. 9

Step-by-step explanation:

20=2x+2

18=2x

x=9

Answer:

C

Step-by-step explanation:

Given f(x) = 2x + 2 and f(x) = 20, then equate right sides, that is

2x + 2 = 20 ( subtract 2 from both sides )

2x = 18 ( divide both sides by 2 )

x = 9 → C

Joey and her sister are helping remodel their parent's house.

They plan to carpet the bedroom which is 14 feet by 16 feet.

The carpet is priced at $1.90 per square foot.

How much can they expect to pay for the new carpet?

Answers

Answer:

They will have to pay $425.60

Step-by-step explanation:

14*16 equals 224 feet

224 feet times $1.90 equals $425.60

i need help whats the answer for 2x^2=50

Answers

2x^2=50
/2. /2
X^2=25
To get x alone you have to square root the ^2 to cancel it out , and what you do to one side you must do to the other. This means you also have to square root 25
The square root of x^2 is x and the square root of 25 is 5

The answer is x=5

Answer:

x = 5

x = -5

Step-by-step explanation:

2x^2 = 50

2x^2 - 50 = 0

2(x^2 - 25) = 0

2(x^2 + 5x - 5x - 25) = 0

2((x^2 + 5x) + (-5x - 25)) = 0

2(x(x + 5) - 5(x + 5)) = 0

2(x - 5)(x + 5) = 0

x - 5 = 0

x + 5 = 0

x = 5

x = -5

PLS HELP QUICK!!

The volume V of a cylinder with radius r and height h is given by the formula V = (pi)r^2h. Solve the formula for r. Then find the radius of a cylinder with a height of 15 centimeters and a volume of 750cubic centimeters. Round to the nearest hundredth.

Answers

Answer:

4

Step-by-step explanation:

750=3.14 × r^2 ×15 you divide 750 by 3.14 then by 15, then you take the square root

If 5% of a number equals eight find 50% of that number

Answers

Answer:

80

Step-by-step explanation:

160 x .05 = 8

(5% of 160 is 8)

160 x .5 = 80.

You know you should multiply, because when working with fractions, decimals, and percentages, the word "of" means multiplied by.

Answer the question please and no links. Please explain too. ​

Answers

Answer:

(20,5)

Step-by-step explanation:

The line is proportional making the answer equivalent.

Answer:

(20,5)

Step-by-step explanation:

20,5=4,1

16. Solve for x. x = __________

Answers

Answer:

20

Step-by-step explanation:

For the rhombus below, find the measure of angles 1,2,3 and 4.

Answers

Answer:

∠1 is 33°

∠2 is 57°

∠3 is 57°

∠4 is 33°

Step-by-step explanation:

First off, we already know that ∠2 is 57° because of alternate interior angles.

Second, it's important to know that rhombus' diagonals bisect each other; meaning they form 90° angles in the intersection. Another cool thing is that the diagonals bisect the existing angles in the rhombus. Therefore, 57° is just half of something.

Then, you basically just do some other pain-in-the-butt things after.

Since that ∠2 is just the bisected half from one existing angle, that means that ∠3 is just the other half; meaning that ∠3 is 57°, as well.

Next is to just find the missing angle ∠1. Since we already know ∠3 is 57°, we can just add that to the 90° that the diagonals formed at the intersection.

57° + 90° = 147°

180° - 147° = 33°

∠1 is 33°

Finally, since that ∠4 is just an alternate interior angle of ∠1, ∠4 is 33°, too.

Which of the following expressions are equivalent to (25)-7 · 24?

Answers

Answer:

where is the following, or is it not multiple choice?

Step-by-step explanation:

Answer:

432 will be your answer

Step-by-step explanation:

A possible expression could be

18 x 24

I would appreciate the options.

y = -3/2x -2 y = -1/4 + 3

Answers

Answer:

umm. what am I supposed to find

Step-by-step explanation:

I need to know what to fi d in order to get the answer for you it would make it easier if you did that now so yeah

Rewrite this number in scientific notation.
57,000,000,000,000

Answers

Answer:

57.0 * 10^12

Step-by-step explanation:

Answer:

5.7 x 10^13

Step-by-step explanation:

trust me

Can you guys plz help me!?
Thanks!!

Answers

X=10 as the 2 angles are the same

can you please help me? as much as you can is greatly appreciated <333 pt 2

Answers

Answer: m3 for the first one

Step-by-step explanation:de

This could take a while, so I'll simply put the answer with the theorem I used to figure it out with.

1) 45° - minor arc; Central Angles/Arcs Theorem

2) 180° - semi circle; Diameter Theorem? (Whichever theorem states that the diameter separates a circle into two 180° semi circles)

3) 75° - minor arc; Angle Addition Postulate

4) 105° - minor arc; Angle Addition Postulate

5) 225° - major arc; Angle Addition Postulate

6) 45° - minor arc; Vertical Angles Theorem

7) 135° - minor arc; Angle Addition Postulate

8) 240° - major arc; Angle Addition Postulate

9) 315° - major arc; Angle Subtraction Postulate, i think? lol.

10) 180° - semi circle; Diameter Theorem or whatever it's called lol.

Additionally, I determined whether or not an angle was a major arc, minor arc, or semi circle with the knowledge that:

minor arc - less than 180 degreesmajor arc - more than 180 degreessemi circle - is 180 degrees.

Have a nice day, fam. Spread The Love. lol I'm tired after typing all this out :P

Which statement is true? *
none of the other choices
sin 50° = cos 40°
sin 50° = tan 50°
sin 50° = tan 40°
sin 50° = cos 50°

Answers

Sin 50= cos 40 is true

Answer:

sin 50=cos 40 is true statement.

Create and solve a 2 step equation where x = -3

Answers

Answer:

Equation:

x + 2 = -1

x = -1 - 2

x = 3

Pls help me this is very important

Answers

Answer:

No because they have different slopes

Step-by-step explanation:

(1 , 2) and (2, 4)

Slope:

m=(y2-y1)/(x2-x1)

m=(4-2)/(2-1)

m = 2

can you please help me? as much as you can is greatly appreciated <333 pt 1

Answers

Answer:

11) 80°

12) 80°

13) 80°

14) 40°

15) 60°

16) 120°

17) 180°

18) 100°

19) 120°

20) 280°

Step-by-step explanation:

This will take awhile, so I will just give you the theorems I used to determine my answer.

11) Supplementary angles theorem

12) Central Angles/Arcs Theorem

13) Vertical Angles Theorem

14) Central Angles/Arcs Theorem

15) Vertical Angles Theorem (The vertical angle minus 40 would equal 60)

16) Supplementary Angles Theorem (Supplementary to 100 degrees)

17) Central Angles/Arc Theorem

18) Vertical Angles & Central Angles/Arc Theorem

19) Angle Addition Postulate, somewhat

20) Angle Addition Postulate

Have a nice day, fam. This problem really worked my brain. Spread The Love.

Please help me! No links!!!
what is v?

v-6=-20

Answers

Answer:

Hi! The answer to your question is v = 14

Step-by-step explanation:

☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆☆*: .。..。.:*☆

☆Brainliest is greatly appreciated!☆

Hope this helps!!

- Brooklynn Deka

Answer:

12

Step-by-step explanation:

20-60=12

Write a short definition of "photosynthesis"

Answers

Answer:

Photosynthesis, the process by which green plants and certain other organisms transform light energy into chemical energy. During photosynthesis in green plants, light energy is captured and used to convert water, carbon dioxide, and minerals into oxygen and energy-rich organic compounds.

Step-by-step explanation:

I hope this helps if it does can i get brainlist

photosynthesis is a process that occurs in plants. it is used to convert sunlight into sugar for the plant in order to create chemical energy. this energy is used to help the plant make glucose ! hope this helped ♡

Solve the system using the substitution method. -5x – 8y = 17 x = 3.5y – 8.5 NO LINKS PLEASE HELP LINKS = REPORT

Answers

Answer:

x=-5 , y=1

Step-by-step explanation:

-5x-8y=17

x=3.5y-8.5

-5(3.5y-8.5)-8y=17

-17.5y+42.5-8y=17

-25.5y+42.5=17

-25.5y=-25.5

y=1

x=3.5(1)-8.5

x=-5

What is the length of JK¯¯¯¯¯, to the nearest tenth of a millimeter? 4.5 mm 5.6 mm 8.3 mm 19.9 mm A horizontally-aligned scalene triangle J K L. Side J L is labeled as 3 millimeters. Side L K is labeled as 5 millimeters. Angle L is labeled as 62 degrees.

Answers

Answer:

5 = side a

3 = side c

angle B = 62 degrees

JK is side b

Use the Law of Cosines to find the length of side b.

b^2 = a^2 + c^2 − 2ac cos(B)

b^2 = (5^2 + 3^2) − ( 2 x 5 x 3) cos(62°)

b^2 = (25 + 9) − 30 x 0.469

b^2 = 34 - 30 x 0.469

b^2 = 34 - 14.084

b^2 = 19.916

b = √19.916

b = 4.463

Rounded to the nearest tenth is 4.5 mm.

Hope this helps!

Step-by-step explanation:

Answer:

4.5 mm

Step-by-step explanation:

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