Answer:
The inverse of the function f(x) is h(x) = 4x + 48 ⇒ (D)
Step-by-step explanation:
To find the inverse of a function do these steps
Replace f(x) by ySwitch x and ySolve to find the new yReplace y by [tex]f^{-1}[/tex](x)Let us do these steps to solve the equation
∵ f(x) = [tex]\frac{1}{4}[/tex]x - 12
→ Replace f(x) by y
∴ y = [tex]\frac{1}{4}[/tex]x - 12
→ Switch x and y
∴ x = [tex]\frac{1}{4}[/tex]y - 12
→ Add 12 to both sides
∵ x + 12 = [tex]\frac{1}{4}[/tex]y - 12 + 12
∴ x + 12 = [tex]\frac{1}{4}[/tex]y
→ Multiply each term by 4
∵ 4(x) + 4(12) = 4([tex]\frac{1}{4}[/tex]y)
∴ 4x + 48 = y
→ Switch the two sides
∴ y = 4x + 48
→ Replace y by h(x)
∴ h(x) = 4x + 48
∴ The inverse of the function f(x) is h(x) = 4x + 48
Answer:
h(x) = 4x + 48 ⇒ (D)
Step-by-step explanation:
i just did it
The distance between two towns on a map is 6cm. The actual distance between two towns is 48 km. What is the scale on the map?
A) 1 cm : 6 km
B) 1 cm : 7 km
C) 1 cm : 8 km
D) 1 cm : 9 km
Step-by-step explanation:
6cm : 48km
=> 1cm : 48km * (1/6) = 1cm : 8km. (C)
Answer:
8 km
Step-by-step explanation:
what's 10× 10 , will giving points out ?
Answer:
100
Step-by-step explanation:
10 puls 10 10 times lol
A hiker walks at a speed of 3 2/5 kilometers per hour. How many kilometers will the hiker walk in 40 minutes?
Answer:
2 4/15 km
Step-by-step explanation:
Answer:
2 4/15 kilometers
Step-by-step explanation:
they keep returning and saying show work again
Answer:
We conclude that:
[tex]20\times \:3\frac{1}{5}=64[/tex]
Step-by-step explanation:
Given the expression
[tex]20\:\times 3\frac{1}{5}[/tex]
convert mixed number to improper fraction: [tex]a\frac{b}{c}=\frac{a\times c+b}{c}[/tex]
i.e. [tex]3\frac{1}{5}=\frac{3\times 5+1}{5}=\frac{16}{5}[/tex]
so the expression becomes
[tex]20\:\times 3\frac{1}{5}\:=20\times \:\frac{16}{5}[/tex]
Factor the number: 20 = 5×4
[tex]=5\times \:4\times \frac{16}{5}[/tex]
Cross-cancel common factor: 5
[tex]=4\times \:16[/tex]
Multiply the numbers: 4×16 = 64
[tex]=64[/tex]
Therefore, we conclude that:
[tex]20\times \:3\frac{1}{5}=64[/tex]
All of the following are equivalent except _____.
-2 4
(-2) 4
(-2)(-2)(-2)(-2)
2 4
Answer:
[tex] -2 \: \: 4[/tex]
Step-by-step explanation:
-2 4 is not an equivalent equation
Answer:
c
Step-by-step explanation:
duh
rewrite the expression below in exponential form
log2 ^0.125=-3
Answer: 2^-3 = 0.125
Step-by-step explanation:
Just took a test over it :)
A grocery store sells 2 red peppers for $4.
How many red peppers for $24?
Answer:
12 red peppers
Step-by-step explanation:
2 peppers for 4 dollars means 1 pepper= 2$. 24/2=12
any help is appreciated ❤️
Understanding:
[Q4] Slope intercept form is [tex]y=mx+b[/tex], where m is slope and b is the y-intercept. We calculated the slope in the previous question which was -45. We can find b by using any point on the previous table and replacing it's x and y values, for this example, I'm going to use (0,1080).
[tex]y=mx+b\\1080=-45(0)+b\\b=1080[/tex]
Now, we can rewrite the equation as follows
[tex]y=-45x+1080[/tex]
[Q5] To find the y-intercept we simply replace every x value with a 0,
[tex]y=-45x+1080\\y=-45(0)+1080\\y=1080[/tex]
This means the y-intercept is at [tex](0,1080)[/tex].
For the x-intercept, you replace the y value with a 0 and solve for x,
[tex]y=-45x+1080\\0=-45x+1080\\-1080=-45x\\x=24[/tex]
This means the x-intercept is at [tex](24,0)[/tex].
Solutions:
[Q4] [tex]y=-45x+1080[/tex]
[Q5] x-intercept: [tex]x=24[/tex]; y-intercept: [tex]y=1080[/tex]
[Q6] The x-intercept represents the months it takes Philip to fully pay his friend for the car. The y-intercept represents the total amount Philip had to pay his friend.
Use the table to write the rule (equation) for the relationship between x
and y.
х
<
ا
0
-3
1
1
2
5
Answer:
y = 4x - 3
Step-by-step explanation:
The values in the x column increase by 1 each time.
The values in the y column increase by 4 each time.
Therefore, the slope of your equation should be 4.
The y-intercept is -3 when x = 0.
The final equation would be:
y = 4x - 3
Christina owns a café. The graph shows the number of cups of tea that were sold at her café each hour past noon. Based on the model, approximately how many cups of tea can Christina expect to sell during the eighth hour?
Answer:
Where's the graph? I need the graph to answer
Approximately 175 cups of tea can Christina expect to sell during the eighth hour.
We need to find how many cups of tea can Christina expect to sell during the eighth hour.
How to interpret the graph?To interpret a graph or chart, read the title, look at the key, and read the labels. Then study the graph to understand what it shows. Read the title of the graph or chart. The title tells what information is being displayed.
From the given graph we can see that corresponding to the x-axis for the 8th hour along the y-axis 175 cups of tea were sold.
Therefore, 175 cups of tea were sold.
To learn more about the graphs visit:
https://brainly.com/question/16192791.
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Consider this system of inequalities.
x + y<_-3
y
Which graph shows the solution for this system?
y
Answer:
c
Step-by-step explanation:
What is 10-18+16y-190b?
Answer:
−190b+16y−8
Step-by-step explanation:
Roger completes a quiz with these rules: 5 points are given for each right answer, 2 points are lost for each wrong ans. Roger gets 6 questions correct and 4 questions wrong. What is roger's final score ?
Answer:
The final score of Roger is 22.
Step-by-step explanation:
The final score (F) of Roger is given by:
[tex] F = 5R - 2W [/tex]
Where R is the right answers and W is the wrong answers
Since he gets 6 questions correct (R = 6) and 4 question wrong (W = 4) we have:
[tex] F = 5R - 2W = 5*6 - 2*4 = 22 [/tex]
Therefore, the final score of Roger is 22.
I hope it helps you!
can anyone help and explain why this is either proportional or not? urgent!! (it needs an explanation too)
find the value of x log2x-log(x-3)=1
Answer:
15/4
Step-by-step explanation:
Answer:
15/4
Step-by-step explanation:
log2x-log(x-3)=1
log(2x/x-3)=1
2x/x-3=10¹
2x/x-3=10
2x=10x-30
10x-2x=30
8x=30
x=30/8
x=15/4
What is the value of the 100th term in this arithmetic sequence?
5, 7, 9, 11, ...
Answer:
the 100th term would be 193
Step-by-step explanation:
5-(n-1) times 2
5-99 times 2
5-198
193
I hope this helps
Question 6: please help me out here :(((
Answer:
m∠1 = 106
Step-by-step explanation:
Given: m∠5 = 106
Vertical angles are congruent
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.
Therefore: m∠1 = 106
A player can move from point to point only in a direction that includes a downward motion (slanted or not). In how many distinct ways can a player move from the top to bottom? (See picture)
Answer:
12
Step-by-step explanation:
2 + 3 + 7 pathways = 12 :)
Answer:
11
Step-by-step explanation:
a
The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data. What percent of 8th graders heights are between 138 cm and 162 cm? What percent of 8th graders heights are between 122 cm and 170 cm? What percent of 8th graders heights are between 130 cm and 162 cm?
Answer:
a) 68%
b) 99.7%
c) 95%
Step-by-step explanation:
The mean height for an 8th grader in the State of Florida is 146 cm with a standard deviation of 8 cm. Given a normal distribution, use the Empirical Rule to interpret the data.
Empirical rule states that:
68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .
95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
Mean = 146
Standard deviation = 8cm
a) What percent of 8th graders heights are between 138 cm and 162 cm?
146 - sx = 138cm
146 - 138 cm = 8cm
146 - 162 cm = 8cm
Hence,68% of data falls within 2 standard deviations from the mean - between μ – σ and μ + σ .
b) What percent of 8th graders heights are between 122 cm and 170 cm?
Standard deviation = 8
146 - 122 = 24 cm
146 - 170 = -24cm
24cm/8 cm = 3
Hence,99.7% of data falls within 3 standard deviations from the mean - between μ - 3σ and μ + 3σ .
c) What percent of 8th graders heights are between 130 cm and 162 cm?
146 cm - 130cm = 16cm
162 cm - 146 cm = 16 cm
16cm/8cm
= 2
Hence, 95% of data falls within 2 standard deviations from the mean - between μ – 2σ and μ + 2σ .
insert , or = to make this Question
"4/9 __?__ 3/8" a true statement.
PSA 4/9 N 3/8 ARE FRACTIONS
Find the y intercept of point (4,6) and slope 10
A bag of 8 apples costs $1.50 at Sam's Orchard. a. At this same
rate, how much would 18 apples cost?
Please help
Answer:
$3.38
Step-by-step explanation:
8/1.5=18/x
18*1.5/8
3.375
or 3.38
Hope this helps plz hit the crown :D
Answer:
18=3.38
Step-by-step explanation:
Halp plzzzz!! I will give Brainliest!!!
sry if u cant see
help pls lol ✋
i literally do not get this at all and i’m typing this cause apparently i need 20 words which is dumb but yeah okay bye
PLZZ HELP WITH ALGEBRA..
PART A
what is the equation of line 1?
Enter the correct answer in the box by replacing the values of m and b
PART B
what is the equation of line 2?
Enter the correct answer in the box by replacing the values of m and b
PART C
Use your answers from part A and B and the substitution method to solve the system shown in the graph.
What is the solution to the system?
Answer:
A: y= 2x -2
B: y= 1/3x +2
C: set the two = to each other and solve
2x-2= 1/3x +2
1 2/3x -2= 2
1 2/3x = 4
x= 12/5
y= 1/3 (12/5) +2
y= 14/5
answer to C is (12/5 , 14/5)
Answer:
answering so they get brainest
Step-by-step explanation:
Solve the following quadratic by completing the square. (Hint: It won't factor) x2-10x+5=0
[tex]5+2\sqrt{5} , 5-2\sqrt{5}[/tex] Answer: 5±2[tex]\sqrt{5}[/tex]
Step-by-step explanation:
x2 -10x=5=0
x2-10x+25=-5+25
(x-5)(x-5)=20
[tex](x-5)^{2} =\sqrt{20}[/tex]
[tex]\sqrt{x-5}=\sqrt{20}[/tex]
x-5=±[tex]\sqrt{20[/tex]
x=5±[tex]\sqrt{5*4[/tex]
x=5±2[tex]\sqrt{5}[/tex]
1-6 find the slope of the lines graphed below. Please Help!
I need help being guided through this question. I thought it was SAS. But not sure.
Answer:
ASA
Step-by-step explanation:
You know the angle of 90 degrees on both sides. Then you see they have the same side, and then you see they have the same angle (vertical angles)
Can someone help me out here
Answer:
50, 25
Step-by-step explanation:
Which expression is equivalent to 4(2x - 3)
Answer:
8times -12
Step-by-step explanation:
hope that helps
Expression 4(2x - 3) will have an analogous expression of 12x - 12.
What is an expression?The link between numbers, variables, and functions using mathematical signs like addition, subtraction, multiplication, and division is referred to as expression in mathematics.
Mathematical expression is defined as the relationship between numerical variables and mathematical operations such addition, subtraction, multiplication, and division.
Given expression is 4(2x - 3 ). The equivalent expression will be solved as below,
E = 4(2x - 3 )
E = 8x - 12
Hence, 8x – 12 will be the equivalent expression.
To know more about an expression follow
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