Answer:
c and e
Step-by-step explanation:
The conclusions about f⁻¹(x) are ; f⁻¹(x) has a y-intercept of (0, -36) and (e); f⁻¹(x) has a range of all real numbers.
How to determine the conclusions?The function is given f(x) = -2/3x - 24
Express f(x) as y;
y = -2/3x - 24
x = -2/3y - 24
Add 24 to both sides;
x + 24 = -2/3y
Make y the subject,
y = -3/2x - 36
Rewrite
f⁻¹(x) = -3/2x - 36
A linear equation is represented y = mx + b
Where, m represents the slope and b represents the y-intercept
This means :
Slope = -3/2
Y-intercept = -36 or (0,-36)
Read more about inverse functions at:
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Work out the percentage change to 2 decimal places when a price of £198 is increased to £209.99.
Answer:
6.05%
Step-by-step explanation:
Initial price = £198
Increased price = £209.99.
We need to find the percentage change in the price. It can be calculated as follows :
%=(increase in amount)/(initial price) × 100
Increase in amount = 209.99 - 198
= 11.99
So,
[tex]\%=\dfrac{11.99}{198}\times 100\\\\=6.05\%[/tex]
So, the increase in price is 6.05%.
Answer:
6.05%
Step-by-step explanation:
Complete the table using the equation y = 8x + 5.
0
2
3
у
help please :)
can someone please help me
First, subtract from both sides to get -37 and then add 7 to get -30. Lastly, divide both sides by -3 to get 10.
x=10
I need to know the slope for M and the y-intercept for B
Step-by-step explanation:
slope is -2 and y intercept is -1
Lol help please xxxx xd
Answer:
Not me looking at the tabs
Step-by-step explanation:
A small pool is being drained. There are 1,320 gallons of water remaining in the pool after 2 minutes and 1, 040 gallons after 9
minutes. How long would it take for the pool to be completely drained? (1 point)
Answer: 35 minutes
Step-by-step explanation:
For us to solve the question, we have to calculate the amount of gallons of water that is drained every minute. This will be:
= (1320 - 1040) / (9 - 2)
= 280/7
= 40 gallons per minute
Since we are told that 1,320 gallons of water remain in the pool after 2 minutes. This means that the total water in the pool at the beginning was:
= 1320 gallons + (40 × 2)
= 1320 gallons + 80 gallons
= 1400 gallons
The time taken for the pool to be completely drained will be:
= Total water in pool / Gallons drained per minute
= 1400 / 40
= 35 minutes
(-6, 8)and (3, -7) in slope intercept form
Answer:
Step-by-step explanation:
y= - 5/3x-2
You will purchase snacks for the painting class. You have a budget of $40. You want to buy fruit and granola bars. Fruit costs $4 per pound, and the granola bars are $1 each. You need to by at least 20 granola bars. What combinations of fruit and granola bars can you buy? Algebra 1.... plz help
Answer:
You can buy 20 granola bars and 5 pounds of fruit. You can also buy 35 granola bars and 1 pound of fruit. You can also buy 30 granola bars and 2and a half pounds of fruit. You can also buy 24 granola bars and 4 pounds of fruit. There are a lot of combinations.
Step-by-step explanation:
What is the value of -216x - y when x = -3 and y = 4?
044
O -28
O 28
O 44
Answer:
- 44
Step-by-step explanation:
The absolute value function always gives a positive result, that is
| - a | = | a | = a
Given
- 2 | 6x - y | ← substitute x = - 3 and y = 4
= - 2 | 6(- 3) - 4 |
= - 2 | - 18 - 4 |
= - 2 × 22
= - 44
The area of Australia is 2.95 × 106 square miles. What is the approximate average number of people per square mile in Australia? Round to the nearest person
Answer:
9 people per square mile
Step-by-step explanation:
Given that:
Area of Australia = 2.95 * 10^6 mi²
Approximate average Number of people per square mile :
This can be obtained by taking the proportion of the population of Australia and the Area of the land mass
Approximate population of Australia : 25,499,884 ( data obtained from internet)
Average number of people per square mile :
Approximate population / Land Area
25,499,884 / 2.95 * 10^6
= 8.6440284
Hence, there will be approximately 9 people per square mile.
6x-3x+4-2x= to what no solution, One solution and Infinitely Many Solutions
Answer:
One Solution: x = - 4
Step-by-step explanation:
Step 1:
6x - 3x + 4 - 2x = 0 Equation
Step 2:
3x + 4 - 2x = 0 Combine Like Terms
Step 3:
x + 4 = 0 Combine Like Terms
Answer:
x = - 4 Subtract 4 on both sides
Hope This Helps :)
Which set
represents the
domain of the
function shown?
{(-3, 6), (0, 2), (4,
7), (11, 15)}
Select one:
a. {(6,-3), (2, 0), (7,4),
(15, 11)
b. {2, 6, 7, 15)
c. {-3, 0, 4, 11}
d.(-3, 0, 2, 4, 6, 7, 11,
15}
Answer:
its c
Step-by-step explanation:
PLEASE HELP, I don't understand what to do, your help would be highly a welcomed
Answer:
the persson who aswered this got it right ( up there or down there )
Step-by-step explanation:
2. Shown is the graph of y = f(x). Draw the graph of g(x) = -f(x).
у
Answer:
Step-by-step explanation: add Y to the X and then add -f to X Y and you will get the answers
Add Y to X 2.Get your answer and dived that by -f and u will get you answerEvaluate [(40 + 5) – 3^2= 9•2
a game decreased in price by 1/4 after the reduction it was price at £36 what was the original price
Using f(x) = 5x + 4 and g(x) = x - 3,find: 1. f(g(6)) 2. g(f(-7)) 3. f(f(8)) 4. g(f(x))
Answer:
Part 1):
[tex]f(g(6))=19[/tex]Part 2):
[tex]g(f(-7))=-34[/tex]Part 3):
[tex]f(f(8))=224[/tex]Part 4):
[tex]g(f(x))=5x+1[/tex]Step-by-step explanation:
Considering the function
[tex]f(x) = 5x + 4[/tex]
[tex]g(x) = x - 3[/tex]
Part 1)
To evaluate [tex]f(g(6))[/tex], you must find [tex]g(6)[/tex]
so
[tex]g(x) = x - 3[/tex]
Put x = 6
[tex]g(6) = 6 - 3[/tex]
[tex]g(6) = 3[/tex]
Then
[tex]f(g(6))=f(3)[/tex]
[tex]=5(3)+4[/tex]
[tex]=19[/tex]
Therefore, [tex]f(g(6))=19[/tex]
Part 2)
To evaluate [tex]g(f(-7))[/tex], you must find [tex]f(-7)[/tex]
so
[tex]f(x) = 5x + 4[/tex]
Put x = -7
[tex]f(-7) = 5(-7) + 4[/tex]
[tex]=-35+4[/tex]
[tex]=-31[/tex]
Then
[tex]g(f(-7))=g(-31)[/tex]
[tex]= (-31) - 3[/tex]
[tex]=-34[/tex]
Therefore, [tex]g(f(-7))=-34[/tex]
Part 3)
To evaluate [tex]f(f(8))[/tex], you must find [tex]f(8)[/tex]
[tex]f(x) = 5x + 4[/tex]
Put x = 8
[tex]f(8)=5(8)+4=40+4=44[/tex]
Then
[tex]f(f(8))=f(44)=5(44)+4=220+4=224[/tex]
Therefore,
[tex]f(f(8))=224[/tex]
Part 4)
Evaluate
[tex]g(f(x))[/tex]
As
[tex]f(x) = 5x + 4[/tex]
[tex]g(x) = x - 3[/tex]
so
[tex]g(f(x))=g(5x+4)[/tex]
[tex]=(5x+4)-3[/tex]
[tex]=5x+4-3[/tex]
[tex]=5x+1[/tex]
Therefore,
[tex]g(f(x))=5x+1[/tex]
Find the angle measures. Justify your responses/
Given: a//b,, m3= 63 degrees.
Find: m6, m7
Answer:
Step-by-step explanation:
m<3=m<7=63
m<6+m<7=180
m<6=180-63
m<6=117
m<7=63
m<6=117
The measurement for ∠6 and ∠7 will be 63° and 117° respectively.
What is angle measurement?An angle measure is the measurement of the angle created by two rays or arms at a shared vertex in geometry. A protractor is used to measure angles in degrees (°).
As we know the alternate opposite angle of the parallel lines are equal;
∠3 and ∠7 are alternate opposite angles;
So that;
m∠3=m∠7=63°
The sum of the complementary angle is 180°.∠6 and ∠7 are complementary angle
m∠6+m∠7=180
m∠6=180°-63°
m∠6=117
Substitute the value to get ∠7
m∠7=63°
m∠6=117°
Hence the measurement for ∠6 and ∠7 will be 63° and 117°.
To learn more about the angle measurement, refer to the link;
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Evaluate x-y if x=-11 and y=26*
Answer: -37
Step-by-step explanation:
x - y
Substitute -11 for x and 26 for y
-11 - 26 = -37
Alondra is training for a 5 mile race.
The table below shows how many strides Alondra takes as she builds up to running 5 miles.
How many strides will Alondra take to run 4 miles?
Exercise Log
Miles 1 2 4 5
Strides 2,640 5,280 ? 13,200
7,920
9,240
10,560
10,660
Answer:
( Can you show me the table? I don't see a table..)
Step-by-step explanation:
Carley's progress from a 5-kilometer race is displayed in the following graph.
Based on this scatterplot, if Carley runs in a 4-kilometer race and she maintains the same pace, how many minutes will it take her to run 4 kilometers?
Answer:I think the answer is forty minutes
Step-by-step explanation:
Jeff saw 7 identical
withdrawals on his bank
statement that came to a total
of $315. By how much did each
withdrawal change Jeff's
account?
Answer:
$45
Step-by-step explanation:
315/7=45
Answer:
Each withdrawal was $45 dollars
Step-by-step explanation:
315 / 7 = 45
The price of an item has been reduced by 20%. The original price was $55. What is the price of the item now?
if you get this correct i will mark you brainliest!
Answer:
$55.00 divided by 0.20 = 0.0275 = $2.75
$55.00 - $2.75 = $52.25
Mateo has 7/ 2 pounds of apples. He needs 3/4 pounds of apples for each batch of applesauce. How many batches of applesauce can Mateo make? Enter your answer in the box as an improper fraction.
Show or explain your work.
Answer:
2 batches
Step-by-step explanation:
I will give no explanation
Answer:
Step-by-step explanation:
Draw a tape diagram then just dived them and you get 2 batches
If f(x) = x2 + x, find f(-3).
-12
3
6
Answer:
-9
Step-by-step explanation:
-3(2) + (-3)
-6 + (-3)
-9
Answer:
f(-3) = 6
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDASStep-by-step explanation:
Step 1: Define
f(x) = x² + x
f(-3) is x = -3
Step 2: Evaluate
Substitute: f(-3) = (-3)² + -3Exponents: f(-3) = 9 - 3Subtract: f(-3) = 6And we have our final answer!
Suppose you estimated square root of 12 by averaging a square like rectngle.What would be a reasonable estimation?
Answer:
3.5.
Step-by-step explanation:
3^2 = 9
and 4^2 = 16 so the square root is between 3 and 4.
Take a rectangle 3.4 by 3.6:
the area = 3.4 * 3.6 = 12.24 so an estimate of the square root could be 3.5.
3.5 * 3.5 = 12.25.
Won't you answer a poor sinner's question HELP! I SWEAR I'LL MARK IT AS BRAINIEST OR SMTHN
Answer:
you needed to mark this question for the science section
Step-by-step explanation:
Gary is exercising on the stationary bike in his garage. He bikes 3.5 miles in 1/4 of an hour. How many miles could Gary bike in 3/4 of an hour at the same speed?
Given:
Gary bikes 3.5 miles in [tex]\dfrac{1}{4}[/tex] of an hour.
To find:
The distance covered by Gary in [tex]\dfrac{3}{4}[/tex] of an hour at the same speed.
Solution:
We have,
Distance covered in [tex]\dfrac{1}{4}[/tex] of an hour = 3.5 miles
Distance covered in [tex]1[/tex] hour [tex]=4\times 3.5[/tex] miles
Distance covered in [tex]\dfrac{3}{4}[/tex] of an hour [tex]=\dfrac{3}{4}\times 4\times 3.5[/tex] miles
[tex]=3\times 3.5[/tex] miles
[tex]=10.5[/tex] miles
Therefore, Gary could travel 10.5 miles in [tex]\dfrac{3}{4}[/tex] of an hour.
A family has completed 50% of a trip and they have traveled 10 miles. How long is the trip?
Divide the polynomials. Your answer should be in the form p(x)+\dfrac{k}{x+2}p(x)+ x+2 k p, left parenthesis, x, right parenthesis, plus, start fraction, k, divided by, x, plus, 2, end fraction where ppp is a polynomial and kkk is an integer. \dfrac{x^2+7x+12}{x+2}= x+2 x 2 +7x+12 =start fraction, x, squared, plus, 7, x, plus, 12, divided by, x, plus, 2, end fraction, equals
Answer:
[tex](x+5)+ \dfrac{2}{x+2}[/tex]
Step-by-step explanation:
Given
[tex]\dfrac{x^2+7x+12}{x+2}[/tex]
Required
Simplify and present your answer in
[tex]p(x)+\dfrac{k}{x+2}[/tex]
First, we need to expand and factorize the numerator:
[tex]\dfrac{x^2+7x+12}{x+2}[/tex]
Express 12 as 10 + 2
[tex]\dfrac{x^2+7x+10+2}{x+2}[/tex]
Split into two using brackets
[tex]\dfrac{(x^2+7x+10)+2}{x+2}[/tex]
Split to two fractions:
[tex]\dfrac{(x^2+7x+10)}{x+2}+\dfrac{2}{x+2}[/tex]
Factorize the numerator of the first fraction
[tex]\dfrac{(x^2+5x+2x+10)}{x+2}+\dfrac{2}{x+2}[/tex]
[tex]\dfrac{x(x+5)+2(x+5)}{x+2}+\dfrac{2}{x+2}[/tex]
[tex]\dfrac{(x+2)(x+5)}{x+2}+\dfrac{2}{x+2}[/tex]
The first fraction can be simplified to give:
[tex](x+5)+ \dfrac{2}{x+2}[/tex]
Hence, by comparison:
We have simplified the given expression to the required format of:
[tex]p(x)+\dfrac{k}{x+2}[/tex]
Which implies that:
[tex]p(x) = x + 5[/tex] and [tex]k = 2[/tex]
Answer:
Step-by-step explanation:
hope this helps