By looking at the table, we can see that the value for g(x) is always f(x)-1. Thus we can conclude that
[tex]g(x) = 4^x-1[/tex]
Now, think about the graph. For every value of y in f(x), the value of y in g(x) will be reduced by one. This means that the graph is translated down 1 unit!
The domain of both functions is actualy the same, that is, [tex]x\in\mathbb{R}[/tex].
However, the range won't be the same. As [tex]x[/tex] approaches negative infinity, the exponentials always approaches zero. Thus, f(x) has range between zero and positive infinity. But, for g(x), we are subtracting one unit from the Y values, therefore the range will be between negative one and positive infinity. In conclusion, their range is different.
Overral: The true statements are the second and the fourth only
Is your height the best unit of measure
Answer: No. It may change, and other people who need an exact length will not know what that is, so the number of "yourheights" is useless.
Step-by-step explanation:
what is the value of the following expression: f^-1(f(x))
The required simplified value of the f⁻¹(f(x)) is given as x.
What is simplification?The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
Property of function states that function of function would be x, if the last function is an inverse function of its substituting function or vice versa. So,
f⁻¹(f(x)) = f(f⁻¹(x)) = x
Thus, the required simplified value of the f⁻¹(f(x)) is given as x.
Learn more about simplification here:
https://brainly.com/question/12501526
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there are 30 students in class. 18 of them are wearing plaid. what percentage of students are wearing plaid for spirit week?
Answer:
The answer is 5.4%
Step-by-step explanation:
30 of 18 is 5.4
The total delivery charge for delivering 4 pizzas is $9.00. At this same rate, how much would the total delivery charge be for delivering 12 pizzas?
Answer:
27
Step-by-step explanation:
9.00 divided by 4 = 2.25
2.25 x 12 = 27
Answer:
$27
Step-by-step explanation:
First, you would take 12(amount of pizzas the question is asking) divided by 4(amount of pizzas) and get 3
Then you multiply $9.00(the delivery fee for 4 pizzas) by 3(how much pizzas the question is asking divided by 4) and get $27
12 divided by 4 = 3
3 times $9.00 = $27
The color reference provided by the automotive manufacture is 44.21%. Does this known value match the measured value at the 95% confidence level
Answer:
This known value does not match the measured value at the 95% confidence level.
The 95% confidence interval for value is calculated as 42.92 to 43.78%,
Step-by-step explanation:
The complete question is:
Police have a hit-and-run case and need to identify the brand of red auto paint. The percentage of iron oxide, which gives paint its red color, was determined to be 43.35 ± 0.33% by one method of analysis using five measurements. The color reference provide by the automotive manufacture is 44.21%. What can you conclude about whether the sample matches the reference at a 95% confidence level?
Student's t test is used to compare the two values .
Here n=5
Degrees of freedom =ν= n-1= 5-1=4
The value from t- table for 4 d.f at 95 % confidence interval is 2.776
The test statistic is
x`± t ∝/2(v). S/√n
43.35 ± (2.776)(0.33)/√5
= 43.35 ± 0.43
= 43.78, 42.92
Here the 95% confidence interval for μ calculated is 42.92 to 43.78%, where as color reference provided by the automotive manufacture is 44.21%.
This known value does not match the measured value at the 95% confidence level.
Please, can someone help me on math? Struggling a bit.
Find the value of x.
16
3x-4
a. 4
b. 8
C.
6.6
d. 6
Are these ratios equivalent?
$4 per 7 items
$8 per 14 items
Answer:
yes
Step-by-step explanation:
4 by 7 is equivalent because 4 times 2 is 8 and 7 times 2 is 14
Answer:
Yes, the ratios are equivalent
Step-by-step explanation:
Given congruent triangles ΔABC ≅ΔDEF where AB = 11, BC = 5, and DE = 6x-7. Find the value of x.
Answer: Congruent angles are angles that have the same measure. ... y = 67 x = 180 – 67 = 113. 2. x = ______ y = ______. 3x – 5 = 127. +5 +5. 3x = 132 ... Find the measure of the angle and give the reason for knowing it. ... Solve for the unknown values: ... 2) AD. 3) AB. 4) BC. 24. In ΔABC, If CA ≅ CB and m∠A = 50, find the m∠B.
Answer:
x = 3
Step-by-step explanation:
Since the triangles are congruent then corresponding sides are congruent, that is
DE = AB , substitute values
6x - 7 = 11 ( add 7 to both sides )
6x = 18 ( divide both sides by 6 )
x = 3
Six oranges cost $.90. How much will 9 oranges cost?
Answer: 1.35
Step-by-step explanation:
if:
6 oranges cost............................0.90 dollars
9 oranges will cost....................................?
(9*0.90)/6=1.35 dollars
A = 2lw – 21h + 2 wh
Solve for h
Write a subtraction fact that will give the same difference as 15-7.
Answer:
9-1
Step-by-step explanation:
Well, 15-7 is 8. We can create an simple subtraction problem for this such as...
9-1=8
I hope this helped....have a nice day ❤
Find the slope and standard form of the line that passes through the points (3,6) and (4,5)
Answer:
Slope = -1
Step-by-step explanation:
6-5/3-4=-1
(can I get brainliest please)
How do I solve this ?
Answer:
See attachment :D
Step-by-step explanation:
y = 2/3x + 2
This is in slope-intercept form, y = mx+b. m is the slope, 2/3, and b is the y- intercept, 2. So you know the line intersects with the y-axis at (0,2). The slope is 2/3. So you can move up two points, then over three. Because it's a positive slope, you move right. This leaves you at point (0,3). Connect a line between these two points.
The line intersects with points (-3,0) and (0,2).
Hope this is helpful ^^ Good luck with your test :D
In slope-intercept form, write the equation of the line passing through the points (-4,1) and (-3,2).
Answer:
the points are starting at 5y and the slope line goes up to (6, 1) and goes down to (-1, 4 ), (-2, 3), (-3, 2) and (-4, 1) The graph has 1x +5
going to desmos to graph it out you can see the slpe line going through (-4, 1) (-3, 2)
A supporting wire is attached to a tree at a height of 45 feet from the ground. If the length of the wire is 51 feet, what is the distance between the base of the tree and the foot of the wire?
Answer:
51 - 45 = 6 feet
need help please help me if u can hlp me
Answer:
your b in y=mx+b is +3
Step-by-step explanation:
HELPPPPPPPPPPPP]PPPPPP
Answer:
If Cora runs 1/2 mile per week and x is the number of weeks, then she will run 5+1/2x. Then determine how many weeks are in two and a half months (depends on which month it is as there are less weeks in February than in January!) but we could estimate 6.
For Hana, you will have 3+ 3/4 x First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.
Step-by-step explanation:
First equation is y=5+1/2 x and then plug 6 in for x to solve for y. the second equation is y=3+3/4x and plug in 6.
what is 16 - 2t = t + 9 +4t
Answer:
t=1
Step-by-step explanation:
16-2t = t + 9 +4t
combine like terms
16-2t = 5t + 9
add 2t to both sides
16-2t+2t = 5t+9+2t
combine like terms
16=7t+9
subtract 9 from both sides
16-9=7t+9-9
combine like terms
7=7t
divide both sides by 7
t=1
Answer:
16=t+9+4t+2t
16=9+7t
16-9=7t
7=7t
t=1
Which of the following expressions are equivalent? I. 10(k + 4) II. 10k + 40 III. 5(2k + 8)
2 points
A) I and II only
B) I and III only
C) II and III only
D) I, II, and III
Answer:
The answer is D.
Step-by-step explanation:
1. 10(k+4) → 10•k + 4•10 → 10k+40
2. is how it is
3. 5(2k+8) → 5•2k + 5•8 → 10k+40
so it's 1,2,&3
-2(3x - 1) = -6x -1 does it have one Solution, no Solution, or infinite Solutions
Answer:
None
Step-by-step explanation:
Select the point on the graph that matches the value of
20/9
Answer:
The dot just past 2.
Step-by-step explanation:
It's the dot right next to 2,
2.2
Please help!!! I need help
Answer:
Step-by-step explanation:
What the hell is that oh no I am not doing that
Select all ratios equivalent to 3:2.
2:12 18:14 27:18
Answer:
27:18.
Step-by-step explanation:
27/9 = 3
18/9 = 2
Answer:
27:18
more equivalent ratios:
6 : 4
21 : 14
Answer the following question
Answer:
f(-8) = 54
Step-by-step explanation:
To start, replace x in the equation with -8. This will give you f(-8) = 6(1 - (-8)) which can be simplified to f(-8) = 6(1 + 8). Apply the distributive property on the right side of the equation to get f(-8) = 6 + 48. When simplified, you get f(-8) = 54.
A teacher reaches into a bag of game pleces containing 5 black pleces, 3 purple pleces, 1 orange plece, and 6 green pleces, He draws 2 pleces, setting aside the first
plece before drawing the second. What is the probability that at least one of the drawn pleces ls purple?
Answer:
3/15
Step-by-step explanation:
37) True or False: A high school principal surveys the community about the high school's basketball program.
The school sends surveys to 5,000 households and receives 120 forms back. This is an example of nonresponse.
Answer:
true
Step-by-step explanation:
HELP! WILL GIVE BRANLIEST!
(Question 12!)
Answer: c you welcome , also thx for points let me know how it feel failing your test
Step-by-step explanation:
Brainliest
Does changing the compound inequality x>-3 and x<3 from and" to or change the soluion set? Explain
Answer:
Yes
Step-by-step explanation:
If you look at it. X is basically -2, -1, 0, 1, or 2.
Hope I helped and Pls Mark Brainliest
geometry :
find the measure of the exterior angle
Answer:
45
Step-by-step explanation:
i believe its 45 or 55
Answer:
92°
Step-by-step explanation:
(2x - 2)° = x ° + 45°
(2x - 2 - x)° = 45°
(x - 2)° = 45°
x - 2 = 45
x = 45 + 2
x = 47
(2x - 2)° = (2*47 - 2)° = (94 - 2)* = 92°