Use the graph shown to answer the question. What is the solution set for the inequality if log2(2x – 1) > 2?
Answers
Answer: B
(2.5, ∞)
Step-by-step explanation:
The solution set of the given logarithm inequality will be (2.5,∞).
What is a logarithm?The exponent indicates the power to which a base number is raised to produce a given number called a logarithm.
In another word, a logarithm is a different way to denote any number.
As per the given logarithm function,
log₂(2x - 1) > 2
By log property
2x - 1 > 2 x 2
2x > 4 + 1
x > 5/2
x > 2.5 so the solution set will be 2.5 < x < ∞ or (2.5,∞).
Hence "The solution set of the given logarithm inequality will be (2.5,∞)".
For more about logarithms
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Related Questions
Find the distance between the points (2,9) and (8,2)
Answers
c= the square root of (x1-x2)^2 + (y1-y2)^2
Therefore ...
(8-2)^2 + (2-9)^2
6^2 + (-7)^2
36+49= 85
Square root of 85= 9.22 approx.
Hence, the distance between the two points is 9.22
(-1,0) (-10,-1) find coordinates
Answers
Answer:
Use a graph calculator
Step-by-step explanation:
PLEASE HELP!!! Write a quadratic equation if its roots are: [tex]\sqrt{3} -1/2[/tex] and [tex]\sqrt{3} +1/2[/tex]
Answers
Answer:
x²- √3 x +1/2
Step-by-step explanation:
To write a quadratic equation with roots only:
x² -(sum of the roots)x+(product of roots)
x²-((√3-1/2)+(√3+1/2)x + ((√3-1/2)(√3+1/2)
x² -(2√3)/2 + ( 9-1)/4
x²- √3 x +1/2
combining like terms with negative coefficients and distribution
-2(2x+4)?
Answers
Answer:
-4x - 8
Step-by-step explanation:
Step 1: Write out expression
-2(2x + 4)
Step 2: Distribute -2
-4x - 8
A triangle with the coordinates X(3, 2), Y(5, -1), and Z(-2, 3) is reflected across both the x- and y-axes. The coordinates after both reflections are what
Answers
Answer:
The coordinates of the reflected triangle are [tex]X'(x,y) = (-3,-2)[/tex], [tex]Y' (x,y) = (-5,1)[/tex] and [tex]Z'(x,y) = (2,-3)[/tex].
Step-by-step explanation:
Let be a point [tex](a,b)\in\mathbb{R}^{2}[/tex], reflections across x- and y-axes are represented by the following operations:
x-Axis reflection:
[tex]d = d'[/tex]
[tex]b - 0 = 0 - b'[/tex]
[tex]b' = -b[/tex]
y-Axis reflection:
[tex]d = d'[/tex]
[tex]a - 0 = 0 - a'[/tex]
[tex]a' = -a[/tex]
If we know that [tex]X (x,y) = (3,2)[/tex], [tex]Y(x,y) = (5,-1)[/tex] and [tex]Z (x,y) = (-2, 3)[/tex], the coordinates after both reflections are, respectively:
[tex]X'(x,y) = (-3,-2)[/tex]
[tex]Y' (x,y) = (-5,1)[/tex]
[tex]Z'(x,y) = (2,-3)[/tex]
The coordinates of the reflected triangle are [tex]X'(x,y) = (-3,-2)[/tex], [tex]Y' (x,y) = (-5,1)[/tex] and [tex]Z'(x,y) = (2,-3)[/tex].
What is the greatest common factor (gcf) of 56 and 98
Answers
Answer: The greatest common denominator is 14
please help me i am so lost
Answers
When it’s Area you multiply the numbers
I hope this helps
2 5 x y + =
Solve for Y
Please hellppppppppp
Answers
25 X y = / y would have to
a cliff diver leaps from a 100-foot cliff into the pacific. the divers height above the water is modeled by the function P(x) = -16x^2 + 10x + 100, where x is time in seconds. during which interval is the diver at least half way down
Answers
Answer:
2.1 < x < 2.5 seconds
Step-by-step explanation:
need help with my words in vocab
Answers
what is 7.393 rounded to the nearest hundreth
Answers
Answer:
7.390
Step-by-step explanation:
Answer:
7.39
Step-by-step explanation:
The hundredths place of 7.393 is the 9.
To round off to the nearest hundredth, drop all decimal place to the right of the hundredths place.
7.39
Since the first dropped digit to the right of the 9 is a 3, we keep the 9 as is.
Answer: 7.39
what is the answer to numba 4
Answers
Answer:
B
1/2
one half
Step-by-step explanation:
Y = mx + b
m = slope
b = Y intercept
6,8,10,11. 12, 14, 18, 18,30
Create a box plot to display the data.
Answers
Answer:
dunny but 4950
Step-by-step explanation:
4960-
SOMBODY HELP ME!!!! I NEED HELP
Answers
Answer:
-11, -2, 3, 6
-16, -5, 21, 29
Step-by-step explanation:
Answer:
You are almost correct
2. -11, -2, 3, 6
3. -16, -5, 19, 21
Step-by-step explanation:
This is the answer because:
1) Whenever we are comparing integers, the larger the negative number, the smaller value they have, and for positive numbers the larger the number, the more value they have
2) Therefore, the answers would be
2. -11, -2, 2, 6
3. -16, -5, 19, 21
Hope this helps! :D
Select the decimal that is equivalent to
8
Choose 1 answer
A 0.767
B
0.767
С
0.875
D
0.875
E
None of the above
Answers
Answer:
NONE OF THE ABOVE (E).Step-by-step explanation:
8 is a whole number.
I don't know. can someone help please??
Answers
Answer:
what
Step-by-step explanation:
Answer:
3rd option
Step-by-step explanation:
__
PQ means the whole length of PQ, same goes to the others (QR and PR)
The first option means the angles P, Q and R
The second option means the points P, Q and R
Everyday my cousin and I played a game of chess. To make it interesting, whoever lost the game owes a chocolate to the other. We played many games of chess over many days. After the last game we played, we counted the number of games each of us had won and lost. Since I won more than her, she handed me 29 chocolates, even though she did win 5 games. How many total games did we play?
Answers
Answer:
34, I think.
Step-by-step explanation:
if you have 29 chocolates, and she won 5, 29+5 equals 34
the school environment science club has $500 of funds. each time they go on a field trip. it costs them $80. Write an algebraic expression that represents the money the club has after going on x field trips
Answers
Answer:
500 ÷ 80=x
Step-by-step explanation:
If the school environment science club has $500 of funds and it cost $80 divide 500 and 80 and it should give you your answer.
Confused a little pls Help me out.
Answers
Answer:
The answer is on point (3,1)
Answer:
(-4,8) and (-4,-6)
Step-by-step explanation:
As you can see, in the answer I have provided above, the x-coordinates are the same and these points are 7 units away from point D as well.
PLEASE MARK ANSWER AS BRAINLIEST!!!y-3x=13 solve for y
Answers
Answer:
Y=13+3x
Step-by-step explanation:
y= 3x+13
solve this equation- x+3=x+3
Answers
Answer:
x = 0
Step-by-step explanation:
Step 1: Write out equation
x + 3 = x + 3
Step 2: Add x to both sides
2x + 3 = 3
Step 3: Subtract 3 on both sides
2x = 0
Step 4: Divide both sides by 2
x = 0
Answer:
Step-by-step explanation:
x + 3 = x + 3
3 = 3
infinitely many solutions
-4/6+-7/9
RATIONAL NUMBER
PLS HELP ME GUYS
IF U ARE THE FIRST PERSON TO ANSWER I WILL MARK U AS THE BRAINLIEST
Answers
[tex]-\frac{4}{6} + -\frac{7}{9}[/tex] = [tex]-\frac{13}{9}[/tex]
Step 1: Cancel 4/6 and change to 2/3.
[tex]= -\frac{2}{3} - \frac{7}{9}[/tex]
Step 2: Adjust Fractions based on the LCM.
The LCM of 3 , 9 : 9
[tex]= -\frac{6}{9} - \frac{7}{9}[/tex]
[tex]= \frac{-6 - 7}{9}[/tex]
Step 3: Subtract the numbers : - 6 -7 = -13
[tex]= -\frac{13}{9}[/tex]
Write the expression as a decimal number.
5×1+1×
1
10
+8×
1
100
+6×
1
1000
=
Answers
if 28 men can complete a work in 16 days wiil 8 men take to complete that work is it a.14 b.48 c.56 d.128
Answers
Answer:
56
Step-by-step explanation:
Wats the equation??
9/4 = Division 4
Answers
Solve the equation below k/12
Answers
Answer:
k = 24
Step-by-step explanation:
Step 1: Write equation
k/12 = 2
Step 2: Multiply 12 on both sides
k = 24
Help me plz !!!!!!!!!!!!!!!!!!!!!
Answers
Answer:
letter b. 30% decrease
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mkmm'nmlc
sorry out of order
Answers
Answer:
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7
just seven my dude or dudett
please help algebra 2 question D:
Answers
First, let's let's evaluate the numerator and denominator separately.
The numerator: (-2)^2(3)(4) - (-1) = 48 + 1 = 49
The denominator: (-2)^2 = 4
Now that the numerator and denominator are simplified, let's take the square root of 49/4
sqrt(49/4) = 3.5
I have a math test coming up and this geometry stuff is just always confusing me. With that said if you could explain your answer that would be wonderful.
If the image is to blurry please just click on the image it is much easier to read.
I am willing to mark a person branliest!
All help is very appreciated. Good Luck. God Bless. Stay Safe. Thanks Max Larson
Answers
Answer:
They should all be true because she is 56 inches tall and the minimum for the roller coasters is 54 inches. So its probably the same minimum for the drop tower.
Step-by-step explanation:
Answer:
a. True
b. True
c. True
d. True
Step-by-step explanation:
all true because the min height to ride the drop tower is 51 in
and the roller coaster is almost the same as 51 in.
if Cindy is 56 in high, then Cindy can ride both the roller coaster and the drop tower.