Graph the logarithmic function below by moving the
key point.
y = log₂ (x)
You can only graph integer points
To graph the logarithmic function y = log₂(x), we can use the key point (1,0) and the fact that the logarithmic function is the inverse of the exponential function y = 2ˣ.
Starting at the key point (1,0), we can move to the right by increasing x by a factor of 2, since log₂(2) = 1. This takes us to the point (2,1). Similarly, we can move to the right by a factor of 2 again to get to the point (4,2), and then to (8,3), (16,4), and so on.
If we instead move to the left from the key point (1,0) by a factor of 2, we get to the point (1/2, -1), since log₂(1/2) = -1. We can continue moving to the left by dividing x by 2 to get to (1/4, -2), (1/8, -3), and so on.
The given graph of y = log₂(x) using only integer points.
The graph is symmetric about the line x=1, since log₂(x) = log₂(1/x) = -log₂(x).
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The GCF of 18 and 27 is _______. Numerical Answers Expected! Answer for Blank 1:
Answer:
9
Step-by-step explanation:
GCF = Greatest Common Factor
The factors of 18 are 1, 2, 3, 6, 9, 18. The factors of 27 are 1, 3, 9, 27. The common factors of 18 and 27 are 1, 3 and 9. The greatest common factor of 18 and 27 is 9.Answer:
9
Step-by-step explanation:
IF THE RATIO IN A VALENTINE'S
DAY CANDY BOX OF MILK TO DARK
CHOCOLATES IS 23. HOW MANY
DARK CHOCOLATES ARE THERE IF
THERE ARE 8 MILK CHOCOLATES?
Answer:
12 dark chocolates
Step-by-step explanation:
Let there are 2x milk chocolates and 3x dark chocolates.
Total no of milk chocolates = 8
ATQ,
2x = 8
x = 4
Dark chocolates = 3x
= 3(4)
= 12
Hence, there are 12 dark chocolates.
Adult and student tickets to the high school basketball game are sold each week. for every two adult tickets seven students tickets are sold. how many total tickets were sold if 92 adult tickets were sold?
Answer:
414
Step-by-step explanation:
the ratio of adult tickets to student tickets = 2 to 7 num of student tickets / 92 = 7 / 2 ... x = 414 total tickets sold.
Simplify the expression: 6+p–8+7
Answer:
p+5
Step-by-step explanation:
I feel as if I might be oversimplifying my answer, so I may be wrong. But, I simply took the time to add like terms! The variable- p- will stand alone because it does not have a given value. The 6, 7, and -8 can be added together, though! Hence my +5. I hope this helped! :)
A total of 160 children play in the city soccer league and 64 of the players are girls what percent of the players are girls
Answer:
40 percent of the children that play soccer are girls in the league
Step-by-step explanation:
just divide 64/160 and get 40
Answer:
40%
Step-by-step explanation:
64/160 = 0.4
0.4 = 40%
I was just wondering what the explanation and answer to this problem would be?
Answer: Acute ask goigle
Find the domain and range of the following functions:
1. f(x) = 4x-3
2. G(x) = | 1-2x |
3. f(x) = x²-2x+1 / x-1
The domain and range of the functions, Domain includes all possible inputs and range includes all possible outputs , are-
1. f(x) = 4x-3
Domain - all real numbers or
Range - all real numbers
2. G(x) = | 1-2x |
Domain- all real numbers
Range - All real numbers≥ 0
3. f(x) = x²-2x+1 / x-1
this can be simplified as ( x-1)²/(x-1) = x-1
Domain - all real numbers
Range- all real numbers
4. f(x) = {x-1 if x<3,
2x+1 if x ≥3 }
Domain - all real numbers
Range - All real numbers
5. y = [tex]\sqrt{4-x}[/tex]
Domain - All real numbers <4
Range - all real numbers ≥0
Mathematical functions are analogous to vending (soda) machine operations. When you put in a certain amount of money, you can choose from a variety of sodas. Similarly, when we use functions, we enter different numbers and get new numbers as a result. The primary characteristics of functions are domain and range. A soda can be purchased with quarters or one-dollar bills. If you put in pennies, the machine will not give you any soda flavor. As a result, the domain represents the inputs available here, which are quarters and one-dollar bills. A cheeseburger will not be served from a soda machine, no matter how much you pay. Thus, the range represents the possible outputs we can have here, i.e., the
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Find the sum of -8x^{2}+9x−8x 2 +9x and -6x^{2}+10x−6x 2 +10x.
Answer:
-14x² +19x
Step-by-step explanation:
You want the sum of the expressions (-8x² +9x) and (-6x² +10x).
SimplificationThe sum is found by adding like terms: terms with the variable to the same power.
(-8x² +9x) + (-6x² +10x)
= (-8 -6)x² +(9 +10)x
= -14x² +19x
What can 7/8 be rewritten as?
Answer:
0.875
Step-by-step explanation:
Answer:
Step-by-step explanation:
u would divide 7 by eight and get 0.875
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 -3 2 -9 3 -15 4 -21
Answer:
The numbers:
1, -3, 2, -9, 3, -15, 4, -21,
are not linear.
Step-by-step explanation:
If it was linear:
4, 3, 2, 1, -3, -9, -15, -21
-3 < x -10 Solve for X and simplify please
Hey there!
“-3 < x - 10”
SOME people treat the “<” “>” as an equal sign to make these types of problems easier to solve!
-3 = x - 10
Flip the equation around
x - 10 = -3
ADD both of your sides by 10
Like: x - 10 + 10 = -3 + 10
CANCEL out: -10 + 10 because it gives us 0
Keep: -3 + 10 because it gives us the value of x
-3 + 10 = x
Solve that above and you have your answer: x = 7 ☑️
Overall answer: x < 7
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
solve the following two equation X+Y=5
X-2Y=2
Step-by-step explanation:
x=4 and y= 1 because of 4+1=5 and add 2y to both sides
x-2y+2y=2+ 2y
x=2y+2
4-2=2
[tex]\left \{ {{x+y=5} \atop {x-2y=2}} \right.[/tex]
Here we have 2 equations in one system.
System of Equations/Simultaneous Equations are for finding the intercepts of both graphs.
We can solve these Simultaneous Equations in many ways. However, I'll be solving by substitution.
To solve by using substitution, we need to move either x or y to the another side. I'll move x term to another side for the first equation. (We'll substitute the first equation in the second.)
[tex]\left \{ {{y=-x+5} \atop {x-2y=2}} \right.[/tex]
Now we substitute y = -x+5 in x-2y = 2
[tex]x-2(-x+5)=2\\[/tex]
Then distribute -2 in (-x+5) | Note that multiplying the negative will get positive. |
[tex]x-2(-x+5)=2\\x+2x-10=2\\3x=2+10\\3x=12[/tex]
We should get this. When we get this, we move 3 to divide 12 (Opposite when moving to another side so from plus to minus and from multiply to divide.)
[tex]x=4[/tex]
But we are not done yet. We have to find the y-value. After all they are two variables equations.
If we want to find the y-value then we have to substitute x = 4 in any given equations. I'd suggest to substitute in the equation that doesn't have a coefficient with high value.
So I'll be substituting in x + y = 5 instead.
Substitute x = 4 in x + y = 5
[tex]4+y=5\\y=5-4\\y=1[/tex]
Thus, we get both x and y value. Answer in either coordinate point or writing form.
Therefore, the answer is
x = 4 when y = 1 or (4,1)
Both works. Hope this helps.
someone please help me with this!
Answer:
remove the bracket on the other side by multiplying 180 by (2-n)
subtract 360 from 1260 to remain with -180n on the other side
divide both sides by -180n
then n become -5
questions on the photo
Answer:
the answer in the photo, look at it
Morris Katz bought four new tires at Goodyear for $95.85 per tire. Goodyear also charged Morris $2.68 per tire for mounting, $2.58 per tire for valve stems, and $4.13 per tire for balancing. Assume no tax.
What was Morris’s total cost for the four tires?
Round your answer to 2 decimal places.
Answer:
$420.96
Step-by-step explanation:
95.85+2.68+2.58+4.13=$105.24
105.24*4=$420.96
I NEED HELP PLS ON THIS QUESTION ON MY STUDY GUIDE
Answer:
4(n + 3) = 60
Step-by-step explanation:
In the question it says '3 more than the usual' and that is a big hint that it is 4(n + 3) = 60
Combine like terms 9+18s - 7s
Answer: The answer is 9+11s :)
Step-by-step explanation:
Combine like terms
9+18s-7s
9=11s so I don't what you mean but in case you want to find s it will be
11 11
S=9/11
For a taxi driver, which measures must be accurate? Check all that apply.
A. Price per mile
B. Distance traveled by customer
C. Price if gasoline per gallon
D. Number of customers per day
Answer:
Them all as he has to know how far he travels the customer rate to see is there is an increase of decrease price of gasoline to see if it's affecting g his outcome and price per miles for obvious reasons haha
Answer:
the answer B. Distance traveled by customer
With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What percentage was the discount? Hint: First subtract to find the amount of discount$, then divide it by the original price.
Answer:
14[tex]\frac{2}{7}[/tex]%
Step-by-step explanation:
We can just follow the hint.
Amount of discount = $84 - $72
= $12
Percentage of discount = [tex]\frac{12}{84}[/tex] × 100%
= 14[tex]\frac{2}{7}[/tex]%
Answer:
14.3% discount.
Step-by-step explanation:
Heya! So by the hint that they gave us, I subtracted 72 from 84, and then divided the 12 by 84. The true answer is 0.143 (rounded to the hundredth), getting you close to the initial 12. I hope this helped at least a little bit!
GIVING BRAINIEST IF CORRECT!!!!
Express the product in simplest form.
Answer:
i bite my tongue its a baddd habit
28 + 10√3
Step-by-step explanation:
first, multiply the two together. √3 * √3 = 3. √3 * 5 = 5√3. 5 * √3 = 5√3. 5 * 5 = 25.
We have 3 + 5√3 + 5√3 + 25. Combine like terms and you should get 28 + 10√3.
Plot and label 3 different points with x-coordinate 3.
PLEASE HELP MEEEEEEEEEEEEEE ILL GIVE U 50 coins for the right answer
Simplify the expression. Explain each step (0+c)+12
Answer:
x+12
Step-by-step explanation:
(0+c)+12
0+c+12
c+12+0
c+12
Hope this helps plz hit the crown :D
The problem to solve is:
(0+c)+12
0+c evaluates to +c
0 + 12 = 12
The answer is 12+c
(0+c)+12 evaluates to 12+c
The final answer is
12+c
Examine the worked problem and solve the equation.
Four-thirds (x) minus one-third = 9. Four-thirds (x) minus one-third + one-third = 9 + one-third. Four-thirds (x) = StartFraction 28 over 3 EndFraction
The solution is x =
.
Answer:
The answer is 7
Step-by-step explanation:
I don't know how to explain it really but just divide 4/3 by 28/3 and you should get the answer of x
Answer:
7
Step-by-step explanation:
Find each angle measure in the triangle.
3x°
2xº
4xº
The total measure of angles in a triangle is 180°.
3x° + 2x° + 4x° = 180°
9x° = 180°
x° = 180° ÷ 9
x° = 20
Our 3 angles are:
3(20) = 60°
2(20) = 40°
4(20) = 80°
Done.
Answer:
Step-by-step explanation:
3x+2x+4x=180
9x=180
x=180/9=20
3x=3×20=60°
2x=2×20=40°
4x=4×20=80°
Fred buys flags from a manufacturer. For f dollars each and then sells the flags in his store for a 26% markup . write an expression for the retail price of a flag
Answer:
f - 0.26f
Step-by-step explanation:
Josiah and Kiri are each saving money.
Josiah starts with `\$100` in his savings account and adds `\$5` per week. Kiri starts with `\$40` in her savings account and adds `\$10` each week.
After `4` weeks, who has more money in their savings account?
Answer:
A.Josiah
5×4= 20+100=120
10×4=40+40=80
120 is more than 80
After 4 weeks , Josiah has 40 dollars more in his savings account.
Given :
Josiah starts with $100 in his savings account and adds 5 per week.
Let x be the number of weeks they started saving
Total money in savings account = 5 (number of weeks) + initial amount
Total money = [tex]5x+100[/tex]
Kiri starts with 40 in her savings account and adds 10 each week.
Total money = 10x+40
Now we need to find out how much money each have after 4 weeks
lets replace x by 4
Josiah have [tex]5(4)+100=120[/tex]
Kiri have [tex]10(4)+40= 80[/tex]
120-80=40
So , Josiah have 40 dollars more in his savings account.
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What function is Boolean operators used for
Answer: Boolean Operators are simple words used as conjunctions to combine or exclude keywords in a search, resulting in more focused and productive results. Examples are (AND, OR, NOT or AND NOT) .
Step-by-step explanation:
please help me asap
Scientists are preparing two satellites to be launched. The equation y=8200xy=8200x represents the number of miles, yy, that the satellite, Space Explorer B, flies in xx hours. The satellite, Space Explorer A, flies 28800 miles in 24 hours.
How many fewer miles does Space Explorer A travel in one hour than Space Explorer B?
Answer:
Space Explorer B travels 6800 miles more than Space Explorer A in one hour.
Step-by-step explanation:
Space Explorer A travels 7000 miles less than Space Explorer B in one hour.
What is an equation?Two or more expressions with an equal sign are defined as an equation.
Given that, Space Explorer A flies 28800 miles in 24 hours.
24 hours = 28800 miles
1 hour = 28800/24 miles
1 hour = 1200 miles
Hence, Space Explorer A travels 1200 miles in 1 hour.
Now, the equation representing the distance, y, traveled by Space Exploral B in x hours is:
y = 8200x
Substitute x = 1:
y = 8200
Therefore, Space Exploral B travels 8200 miles in 1 hour.
The difference between the distance traveled by Space Exploral B and Space Exploral A is:
8200 - 1200
= 7000
Hence, Space Explorer A travels 7000 miles less than Space Explorer B in one hour.
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