4. Which of the following values of x is not in the domain of f (x) = log; (10-2x)?
Answers
Answer:
its choice 3) 5
Step-by-step explanation:
We want to see which of the given values of x is not in the domain of f(x) = log(10 - 2x).
The correct option is (3); x = 5.
The domain is defined as the possible inputs of a given function f(x), in this particular case, we have:
f(x) = log(10 - 2x).
Remember that the logarithmic function is only defined for positive arguments, so the values of x that are NOT in the domain of f(x), are these x values such that:
10 - 2x ≤ 0
Solving it for x we have:
10 ≤ 2x
10/2 ≤ x
5 ≤ x
So any value of x equal to or larger than 5 is not in the domain of the given functions, and of the shown options, the only one that is equal or larger than 5 is x = 5, the third option.
So the correct option is the option (3).
If you want to learn more, you can read:
https://brainly.com/question/16875632
Related Questions
Your friends swimming pool is in the shape of a rectangular prism, with a length of 25 feet a width of 8 feet and height of 5 feet. What is the volume of your friends swimming pool?
Answers
Answer:
1000 cubic feet or 1000 ft³
Step-by-step explanation:
Your friends swimming pool is in the shape of a rectangular prism, with a length of 25 feet a width of 8 feet and height of 5 feet. What is the volume of your friends swimming pool?
The volume of a rectangular prism is given as:
Width × Length × Height
Length = 25 feet
Width = 8 feet
Height = 5 feet.
Volume of the rectangular prism(Swimming pool) = 25 feet × 8 feet × 5 feet
= 1000 cubic feet or 1000 ft³
The sale price of every item in a store is 85% of its usual price.
The usual price of a backpack is $30, what is its sale price?
Answers
Answer:
25.5 dollars
Step-by-step explanation:
U is the midpoint of TV. If TU = 6x and TV = 11x + 8, what is TV?
T
6x
V
11x + 8
Simplify your answer and write it as a proper fraction, mixed number, or integer.
Answers
Answer:
96
Step-by-step explanation:
U is the midpoint of TV, so mTU is half of mTV or mTV = 2 * mTU, so
mTV = 2 * mTU
11x + 8 = 2 (6x)
11x + 8 = 12x
8 = x
mTV = 11x + 8 = 11(8) + 8 = 88 + 8 = 96
What do I do to answer
Answers
Answer:a. 25%
b. 1/5, 0.2, 20%
c. 55/100, 0.55 55%
d. 23/25, 0.92, 92%
e. 3/50, 6/100, 6%
f. 3/20, 15/100, 0.15
g. 74/100, 0.74, 74%
h. 1/25, 0.04, 4%
i. 1/2, 50/100, 50%
j. 24/25, 96/10, 0.96
Step-by-step explanation:
what 2 numbers multiply to 92 and add to 27
Answers
Answer:
4 and 23
Step-by-step explanation:
4 x 23 = 92
4 + (23) = 27
What is the product of:
7x4.5x6
Answers
Answer:
189
Step-by-step explanation:
:)
Answer:
189
Step-by-step explanation:
mulitply 7 by 4.5= 31.5
31.5 x6=189
plz answer, ill guve you brainliest! :)
Answers
Answer:
If it is a 360 the angles would be 316 remaining if it was 180 there would be 136 remaining. and if there was only 90 there would be 46 remaining (Hope this helps)
Step-by-step explanation:
Carla bought 5 school lunches in one week for $18.75. Which equation can be used to determine the price, p, in dollars, of 1 school lunch?
A. P/5 = $18.75
B. 5/P = $18.75
C. $18.75/5 = P
D. 5/ 18.75 = P
And also include how you got the answer
Answers
Answer:
Step-by-step explanation:
C
((10 - 3)2 + 7)- 4 + 62
Answers
Step-by-step explanation:
(7*2 +7)-4+62
21-4+16
37-4
33
Vicky ran 300 yards in 74 seconds. Then, she ran 300 yards in 53 seconds how much faster was vickys second time?
Answers
Answer:
Vicky was 21 seconds faster the second time!
Step-by-step explanation:
Have a great day :D
Answer:
21
Step-by-step explanation:
74-53=
70-50=20
4-3=1
20+1=21
How many triangles are inside a heptagon?
3
5
2
4
Answers
Answer:
5 triangles are in a heptagon.
uud triángulo 20 ft 18 ft 14 ft 13 ft 25 ft 28 ft 19 in 33 in 11 in 14 in 30 in 30 in 6 5 31 ft 16 in 12 in 12 ft 22 in 29 ft
Answers
Answer:
20ft
Step-by-step explanation:
Brayden adds 1/3 cup of flour into a mixture every 1/2 minutes. What is the rate, in cup per minute, at which Brayde add flour to the mixture?
A.1/6
B.1/5
C.2/3
D.3/2
Answers
Answer:
B!!!!!
Step-by-step explanation:
1/5
Explain how you will apply the 45 - 45 - 90 to a right triangle with a leg that's measured 12?
Answers
Answer:
Step-by-step explanation:
1.How to find the longer leg of a 45 45 90 Triangle?
ans : If you know the length of one of the legs of a 45-45-90 triangle, the other leg has the same length. For this triangle, the other leg has a length of 8*sqrt(2) units. The hypotenuse's length can be found by multiplying the leg's length by sqrt(2).
Mr. Jones has a new car. The manufacturer says that the car should get about 28 miles per gallon in the city. About how many miles can Mr. Jones drive on 11.5 gallons of gas? At 2.89 per gallon, how much would that cost?
Answers
Answer:a) 322 MILES B) 34.391 ( The price per gallon was not given in units ) but if price of I gallon = lets say $2.89, then for 11.5 Gallons will be $34.391
Step-by-step explanation:
a)
M r Jones car needs 28 miles for 1 gallon = 28 MILES= 1 Gallon
Number of miles he can drive withe 11.5 gallons
1 Gallon = 28 miles
11.5 gallons = 11.5 x 28miles = 322 miles
b) IF 1 gallon costs 2.89
11.5 gallons will cost= 11.5 x 2.89= 34.391
1. Solve the triangle. A = 46°, a = 31, b = 27
Answers
Answer:
The third angle would be 42 degrees
Step-by-step explanation:
At my school their are 12 more boys than twice the
number of girls. The total student population is 312
students. How many students are boys and how many
students are girls?
Answers
Answer:
12 boys and 300 girls
Step-by-step explanation:
There are twelve more boys than girls
I will appreciate any help !
Answers
Answer:
m=2/3
Step-by-step explanation:
from 2,-2 to -3, 1 the run is 3 and the rise is 2
slope = rise/run
slope = 2/3
HELP!!! I NEED HELP! these are factoring questions!
Answers
Answer:
2. 4x³ - 2x² + 4y
3. (2x+3)(2x−5)² (To expand, it would be 8x³ - 28x² - 10x + 75)
Step-by-step explanation:
2.
(4x³ + 2y) - (2x² - 2y)
Find the opposite of 2x² - 2y by finding the opposite of each term.
4x³ + 2y - 2x² + 2y
Add 2y and 2y to get 4y.
4x³ - 2x² + 4y
3.
To simplify this expression, simply multiply 2x - 5 by itself to get (2x + 3)(2x - 5)².
I know this is extra, but I'll expand it out.
(2x + 3)(2x - 5)²
Use binomial theorem (a−b)² =a²−2ab+b² to expand (2x−5) ²
(2x + 3)(4x² - 20x + 25)
Use the distributive property to multiply 2x + 3 by 4x² - 20x + 25.
8x³ - 40x² + 50x + 12x² - 60x + 75
Combine -40x² and 12x² to get -28x².
8x³ - 28x² + 50x - 60x + 75
Combine 50x and -60x to get -10x.
8x³ - 28x² - 10x + 75
Help Pls :D I'm literal dying tHxS
Answers
Answer: Fragment might be it or a fraction
answer this pleeaasee
Answers
i'll give 100 pts and brainliest if you answer this!!!
thank you for the help boo
Perform the operation. Write the answer in standard form.
1. (6 − i) + (9 + 5i)
2. (7 + 3i) + (11 + 2i)
3. (12 + 4i) − (2 − 15i)
4. (3 − 7i) − (3 + 5i)
5. 7 − (2 − 3i) + 6i
6. −16 + (3 + 4i) − 4i
7. 3i(6 − 5i)
8. −2i(8 + 2i)
9. (−5 + i)(8 − 6i)
10. (3 − 6i)(−1 + 7i)
11. (2 + 5i)(2 − 5i)
12. (−3 − i)(−3 + I)
13. (4 + i) 2
14. (5 − 9i) 2
Thank you again <3
Answers
Answer:
1. [tex]4i+15[/tex]
2. [tex]5i+18[/tex]
3. [tex]-11i+10[/tex]
4. [tex]-2i[/tex]
5. [tex]9i+5[/tex]
6. [tex]-13[/tex]
7. [tex]-15i^{2}+18i[/tex]
8. [tex]-4i^2-16i[/tex]
9. [tex]-6i^2+38i-40[/tex]
10. [tex]-42i^2+27i-3[/tex]
11. [tex]-25i^2+4[/tex]
12. [tex]-i^2+9[/tex]
13. [tex]2i+8[/tex]
14. [tex]-18i+10[/tex]
Step-by-step explanation:
Standard form means to put the terms in order based on their exponent (x³ -> x² -> x -> constant)
1. (6 - i) + (9 + 5i)
[tex]4i+15[/tex]
2. (7 + 3i) + (11 + 2i)
[tex]5i+18[/tex]
3. (12 + 4i) - (2 - 15i)
[tex]-11i+10[/tex]
4. (3 - 7i) - (3 + 5i)
[tex]-2i[/tex]
[tex]35i^2+6i-9[/tex]
5. 7 - (2 - 3i) + 6i
[tex]7 - 2 + 3i + 6i[/tex]
[tex]9i+5[/tex]
6. -16 + (3 + 4i) - 4i
[tex]-16 + 3 + 4i - 4i[/tex]
[tex]-13[/tex]
7. 3i(6-5i)
[tex]18i-15i^2[/tex]
[tex]-15i^2+18i[/tex]
8. -2i(8+2i)
[tex]-16i+-4i^2[/tex]
[tex]-4i^2-16i[/tex]
9. (-5 + i)(8 - 6i)
[tex]-40+30i+8i-6i^2[/tex]
[tex]-6i^2+38i-40[/tex]
10. (3 - 6i)(-1 + 7i)
[tex]-3+21i+6i-42i^2[/tex]
[tex]42i^2+27i-3[/tex]
11. (2 + 5i)(2 - 5i)
[tex]4-10i+10i-25i^{2}[/tex]
[tex]-25i^2+4[/tex]
12. (-3 - i)(-3 + i)
[tex]9 -3i + 3i -i^2[/tex]
[tex]-i^2+9[/tex]
13. (4 + i) * 2
[tex]2i+8[/tex]
14. (5 - 9i) * 2
[tex]-18i+10[/tex]
:p when I first started answering this I thought the parentheses were being multiplied every time and did 100x more work .-.
Hope it helps <3 :D
Solve for x. Assume that lines which appear to be tangent are tangent.
3x + 3
4x - 3
Answers
the length of the side of each square on the grid represents 3meters and there are 8 squares that cost 5$ per meter how much will the fencing cost?
Answers
Answer:
Step-by-step explanation:
16
Given the function f(x)=-x+3, find the value of f(13).
Answers
F(13) means x equals 13.
Replace x in the equation with 13 and solve:
-13 + 3 = -10
F(13) = -10
Answer:
-10
Step-by-step explanation:
if the x in f(x) is 13, then the x in the equation is 13 and there is a negative sign in front so it is negative 13 plus 3 which is negative 10
what is the constant of proportionality in the equation y =5x
Answers
Cassidy the Clown does face painting at the city carnival. She paints 8 faces every 21 minutes. Write an equation that related the number of faces she paints (y) and the time she spends painting (x)
ANSWER WITH A PICTURE ASAP
Answers
Answer:
8y=21x
Step-by-step explanation:
i'm not sure how to draw this out in a picture but the equation is above.
like the question states, Cassidy paints 8 faces in every 21 minutes. the amount of time she spends painting one face would be figured out by dividing 21 by 8 giving you 2.625minutes so i would just say around 3 minutes. so to draw a picture maybe just draw 8 faces and then circle them and say 21 minutes and then put x (to show the time she spent painting each face) under the faces in the picture and then show your work solving this.
in order to find out the ratio of time spent drawing one person's face we have to take the information given and divide the total of 21 minute span by the 8 different faces she painted in order to find how long she spends on 1 face.
hope this helps, if it did please make sure to leave a like, rate, and give me the brainliest if possible!
thanks have a great day!
You have $561 in your checking account. You spend part of this money on booking the hotel room. You now have $187 in your account. How much was the cost of the hotel room? D F 3 374
Answers
Answer:
$374
Step-by-step explanation:
561-187=374
solve for x -1/2x + 1/3 > 3/5
Answers
Answer:
x > 8/15
Step-by-step explanation:
x -1/2x + 1/3 > 3/5
Combine like terms
2/2x - 1/2x +1/3 > 3/5
1/2x + 1/3 > 3/5
Subtract 1/3 from each side
1/2x + 1/3 -1/3 > 3/5 -1/3
1/2x > 3/5 -1/3
Get a common denominator
1/2x > 9/15 - 5/15
1/2x > 4/15
Multiply each side by 2
2 * 1/2x > 4/15 * 2
x > 8/15
It is X > 8/15
EZ PTS :D and ill give brainliest :)
Answers
Answer:
a=Rational
b=interger
c=irational
d=whole
Step-by-step explanation:
I hope this helps! (i am sorry if it is wrong)
Answer:
a) rational
b) integer, rational
c) irrational
d)whole, integers, rational
Step-by-step explanation:
The numbers follow a chart of grouping
whole>integers>rational
irrational is its own group while real numbers include everything