Answer:
Step-by-step explanation:
Hi!
To find the inverse, first we express your function as:
y = 3x - 8
Then, we interchange x and y variables:
x = 3y - 8
From there, we isolate y:
x + 8 = 3y
x/3 + 8/3 = y
Then, the inverse, g(x) = (x+8)/3.
We can check this by getting g(f(x)):
(f(x) + 8)/3 = (3x - 8 + 8)/3 = 3x /3 = x.
This is correct by the definition of the inverse function.
You can also think about the inverse as a "reverse function", so for example, in f(x) = 3x-8, x is multiplied by 3, then 8 is subtracted from it.
If we are to go from f(x) to x, we first add 8 (to reverse the subtraction), then divide by 3 (to reverse the multiplication).
This means g(y) = (y+8)/3, the same answer.
Hope this helps!
please help urgent math photo attached
Answer:
K = (-5, 14)
Step-by-step explanation:
For writing equations of parallel and perpendicular lines, it is convenient to start with equations in general form:
ax +by +c = 0
Rewriting the given equations, we have ...
y = 1/2x -1
x -2y -2 = 0 . . . . . line d
y = -3x +2
3x +y -2 = 0 . . . . . line d'
__
A parallel line will have the same coefficients, but a constant appropriate to the required point on the line.
Parallel to d' through A(-1, 2):
3(x -(-1)) +(y -2) = 0
3x +y +1 = 0 . . . . . . . . simplify
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A perpendicular line will have the coefficients swapped and one of them negated. Again, the constant is appropriate to the required point.
Perpendicular to d through B(3, -2):
2(x -3) +(y -(-2)) = 0
2x +y -4 = 0 . . . . . . . . simplify
__
The solution to this system of equations can be found by subtracting the second equation from the first:
(3x +y +1) -(2x +y -4) = (0) -(0)
x +5 = 0
x = -5
Substituting into the second equation gives ...
2(-5) +y -4 = 0
y -14 = 0
y = 14
The coordinates of point K are ...
K = (-5, 14)
_____
Additional comment
The general line through the origin ...
ax +by = 0
can be translated to go through point (h, k) by the usual method for translating functions. The variable x is replaced by (x -h), and the variable y is replaced by (y -k). Using the general form equation means we can keep the variables and constants all on the same side of the equal sign, saving a bit of work and confusion.
a(x -h) +b(y -k) = 0 . . . . . . line through point (h, k)
__
The graph is drawn by a geometry program capable of drawing parallel and perpendicular lines through given points. It confirms the equations and th solution.
- Calculate the profit or loss
- Find the percentage profit or loss correct to 2 decimal places
A car purchased for $28899 was sold for $17580
Answer:
loss=B.price-S.price
$28899-$17580=$11319
Percentage profit=profit/B.price*100%
$11319/28899*100=$385.20
Step-by-step explanation:
The baseball game started at 7:00 p.m. It ended at 9:15 p.m. How long did
the baseball game last?
Answer:
2 hours 15 minutes
Step-by-step explanation:
7+2 =9
00+15 =15
Answer:
2 hours and 15 minutes
Step-by-step explanation:
2 hours and 15 minutes
7pm - 8pm = 1 hour
8pm - 9:15 = 1 hour 15 minutes
1 hour + 1 hour +15 minutes = 2 hours 15 minutes
1) 3x + 6 - 2 + 5x
2) a bicycle is originally priced at 80$. The store owner gives a discount and the bicycle is now 60$. What percent discount was taken off?
Answer: ✨4(2+1)✨
Step-by-step explanation: ✨3+6−2+53x+6−2+5x3+4+53✨
Answer:
4(2x + 1)
---->
Step-by-step explanation:
1: 3x + 6 - 2 + 5x = 4(2x + 1)
2: Orignal Cost=80
Discounted Cost=60
Discount=80-60=20
Discount%=(20/80)*100=25%
Which equation does NOT describe a term in the sequence below:
12,6,3,1.5, ...
a. f(1) = 12
b. [tex]f(n)24(1/2)^x[/tex]
c. f(0) = 12
d. f(5)=0.75
This circle passes through the points $(-1, 2)$, $(3,0)$ and $(9,0)$. The center of the circle is at $(h,k)$. What is the value of $h+k$?
Answer:
17
Step-by-step explanation:
The geometry program that drew the circle through the three given points wrote this equation for the circle:
(x -6)^2 +(y -11)^2 = 130
Compared to the standard form equation, ...
(x -h)^2 +(y -k)^2 = r^2 . . . . . . circle with center (h, k) and radius r
we can see that the center is (h, k) = (6, 11).
The sum h+k is 6+11 = 17.
__
Additional comment
The center is at the point of intersection of the perpendicular bisectors of chords of the circle.
Here it is convenient to choose one of them as the horizontal segment with endpoints (3, 0) and (9, 0). The vertical line that bisects this segment is x=(3+9)/2 = 6. So, x=6 is the x-coordinate of the circle center.
We can use endpoints (-1, 2) and (3, 0) as another chord. Its midpoint is (-1+3, 2+0)/2 = (1, 1). The slope of this chord is (y2-y1)/(x2-x1) = (0-2)/(3-(-1)) = -1/2. So, the slope of the perpendicular bisector is -1/(-1/2) = 2, and the equation of that line is
y -1 = 2(x -1)
For x=6, the point of intersection of the chord bisectors is ...
y -1 = 2(6 -1) = 10
y = 11
The coordinates of the circle center are (6, 11), so h+k = 6+11 = 17.
Use the greatest common factor of 84 and 48 to write the sum 84+48 as a product. Write a whole number in each black.
Answer: Below
Step-by-step explanation:
Looking at the numbers, they already seem to be multiples of fours. If we try to scale four up, 12 is the next biggest factor.
84 = 12 * 7
48 = 12 * 4
7 + 4 = 13
12 * 13 = 84 * 48
12 * 13 = 132
A. ((4 × 5) – 15) ÷ (2 + 22 – 1) =
((4 × 5) – 15) ÷ (2 + 22 – 1) =
B. 4 × (– 3 + (42 – 13)) + 8 ÷ (6 + 2) =
4 × (– 3 + (42 – 13)) + 8 ÷ (6 + 2) =
Answer:
A. 8 1/4 - 3 2/5 - (2 1/3 - 1/4) = 83/30 = 2 23/30 ≅ 2.7666667
B. 5
Write 4.58 correct to 1 decimal place.
During a big race, Jeff races his car at a rate of 125 miles per hour for 3.2 hours. What is the distance of the race?
Answer:
unoriginal presidential play insisting that the president is a little more aggressive and more aggressive 6PM to the
Next year Phil and Matt may sell the cookies for $50 each. They plan to make the same total number of cookies, but they predict that they will only sell of them given the price increase. Based on their prediction, should Phil and Matt raise the price of the cookies? Justify your answer.
Enter your answer and your justification in the box provided.
Answer:
No, they should not raise the price of the cookies. Because they are going to sell more base on the equation above if they stick with the original price.
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
D
Step-by-step explanation:
the answer Is obviously D
At a community fund raiser event, bracelets cost $3 and necklaces cost $6. Complete the patterns in
the first two columns for the cost of 0, 1, 2, 3, and 4 pieces of jewelry. Write the ordered pair for the
corresponding terms in the third column. Then graph the ordered pairs
Answer: Attached photos, and the last question of my explanation.
Step-by-step explanation: If "bracelets cost $3 and necklaces cost $6" that means we will multiply.
1. for Bracelets (1 bracelet = $3)
(0 x 3 = 0) 1. $0
(1 x 3 = 3) 2. $3
(2 x 3= 6) 3. $6
(3 x 3 = 9) 4. $9
(3 x 4 = 12) 5. $12
Explanation: We have to multiply 5 different numbers to fill in the 5 rows of bracelets & necklaces. (0,1,2,3,4 = 5 numbers). For example, if we buy 2 bracelets, 1 bracelet = $3 and 3*2=6 so it would be 6.
2. for Necklaces (1 necklace equals $6)
(0 x 6 = 0) 1. $0
(1 x 6 = 6) 2. $6
(6 x 2 = 12) 3. $12
(6 x 3 = 18) 4. $18
(6 x 4 = 24) 5. $24
3. coordinates
1. (0,0)
2. (3,6)
3. (6,12)
4. (9,18)
5. (12,24)
Putting the coordinate pairs on the graphs: the first number is x and the second is y.
4. I displayed a photo of what the chart, and graph should look like.5. What is the relationship between the corresponding terms in the two sequences: The second sequence is the product of multiplying sequence 1 and sequence 2.
1000 to the fourth power(?
Answer:
Step-by-step explanation:
Answer: Raise 1000 to the power of 4
1000000000000
Find the number that makes the ratio equivalent to 4:8.
:64
Answer:
4:8 = 32:64
Step-by-step explanation:
4:8 = x:64
256=8x
32 = x
BRAINLIEST? TY!
A local city collects 8% sales tax. If the total purchase was $216.00, then how much was collected for sales tax?
Jennie was collecting bugs for a school science project. She measured each one in inches and wrote there lengths below. Which list shows the lengths in order least to greatest?
With work please!
Answer: A
Step-by-step explanation:
1/2=.5
1/3=.3 repeated
3/18=0.16 6 repeated
No b,c,
1/2>3/18
so a is correct
22 pints = what fluid ounces
Answer:
422.734 fluid ounces
Step-by-step explanation:
For the approximate result you have to multiply the volume value by 19.215
Find the value of f(5) for the function.
f(x) = 6+3x
Answer: 21
Step-by-step explanation:
This means we can substitute x=5 into f(x), so f(5)=6+3(5)=21.
Help please if you can do it
Answer:
Associative property
Step-by-step explanation:
Sine the () was moved to another two numbers, it would be the Associative property of addition
Hope this helps :)
A student's workout is graphed on the grid below. What’s the domain and range?
Answer:
Domain [0,50] and Range [0,100]
Step-by-step explanation:
The domain of a graph is the values that x takes on in the graph.
We see the x values for the graph go from 0 to 50.
Since both ends of the graph are closed circles we will use brackets:
D [0,50]
The range of a graph is the values that y takes on in the graph.
We see the y values for the graph go from 100 to 0.
R [0,100]
We can also write them in interval notation:
Domain: [tex]0\leq x\leq 50[/tex]
Range: [tex]0\leq y\leq 100[/tex]
how many pounds is 480 oz?
please provide what you did to get the answer please :)
Answer:
30 pounds in 480 ounces.
Step-by-step explanation:
16 ounces = 1 pound.
480 ounces divided by 16 = 30 pounds
Answer:
30 pounds. 480 ounces
30 pounds
divide the mass value by 16
You want to reduce your daily calorie consumption by about 9%. You currently consume about 2100 calories per day. Use mental math to estimate the number of calories you should consume in one week to meet your goal.
Answer:
13,377 in one week
Step-by-step explanation:
2100*0.09=189
2100-189=1911
1911*7=13,377
~hope this helps~
To meet your goal, you should consume 13377 calories in one week.
What is a percentage?Percentage refers to a number that is "out of one hundred." As with fractions and decimals, percentages are used in mathematics to represent subsets of a whole.
Given,
you currently consume about 2100 calories per day.
You want to reduce your daily calorie consumption by about 9%.
That means,
9% of 2100
= 9 x 2100 / 100
= 189 calories
To find the number of calories you should consume in one week to meet your goal:
Multiply by 7 to reduced consumption in one day.
7 x 189
= 1323 calories.
Now, subtraction;
One week of consumption - reduced consumption
= (2100 x 7) - 1323
= 13377
Therefore, in one week you should consume 13377 calories.
To learn more about the percentage;
brainly.com/question/24159063
#SPJ2
Study the image.
Make a personal connection to the photo. In three to five sentences, write a short essay that explains what type of lighting setup was used and what this image makes you think about. Use specific details in describing what the photo reminds you of personally.
Answer:
he is on high depression
he is so success ful guy
he makes an advertisement of some thing
he advertises watch
he see going to be a future doing on his life
please ayudar -2x + 6 ≤ 41 + 3x
Answer:
x => -7
Step-by-step explanation:
to solve this equation you should start by subtract 6 on both sides
-2x <= 3x + 35
then subtract 3x to both sides
-5x <= 35
then you divide both sides by -5
x => -7
you must change the signs because you multiplied it by a negative
What is 1978 times 45
Answer:
89010
Step-by-step explanation:
1978 times 45 will equal 89010 its very simple step wise.
Answer:
89010
Step-by-step explanation:
Select the correct answer from each drop-down menu.
Which data set has a greater spread? Why?
Set A: {38, 12, 23, 48, 55, 16, 18}
Set B: {44, 13, 24, 12, 56}
has a greater spread because
.
Reset Next
Answer:
B
Step-by-step explanation:
B because range of set B is more than set A
range B=56-12=44
range A=55-12=43
The center of mass is defined as a point on the straight line between two objects with masses m and m₂ coordinates of the center of mass? m₂ = (X2Y₂) 4 m₁ = (x₁, y₁) OA L₂ center of mass m₂x₁ + m₂x₂ m₂y₁ + m₂Y/₂ 2(m, + m₂) 2(m, + m₂) B. (m₂(x₁ + x₂) M₂ (Y₁+Y/₂) 2(m, + m₂) 2(m, + m₂) OCM₂X₁ + M₁X₂ M₂Y₁ + M₁Y₂ m₂ + m₂ m₂ + m₂ D. m₂x₁ + m₂x₂ m₂v₁ + M₂Y/₂ m₁ + m₂ m₁ + m₂ 4, m₂ = such that 4₂ m₂ What are the
Answer:
D
Step-by-step explanation:
As is often the case with multiple choice questions, a simple check of the reasonableness of the answers will identify the correct one.
Here, the key is that the center of mass will be at the non-zero mass if one of them is zero. Assuming m2 = 0, the center of mass will have coordinates (x1, y1).
Checking the offered expressions when m2=0, we have ...
A. (m1x1/(2m1), m1y1/(2m1)) = (x1/2, y1/2) ≠ (x1, y1)
B. (m1(x1 +x2)/(2m1), 0) = ((x1+x2)/2, 0) ≠ (x1, y1)
C. (m1x2/m1, m1y2/m1) = (x2, y2) ≠ (x1, y1)
D. (m1x1/m1, m1y1/m1) = (x1, y1) . . . . . the answer we're looking for
Aubrey was buying candy for goodie bags for her birthday party. She bought 6 pounds of jellybeans how much did she spend on jellybeans?
Answer:
How much jellybeans cost?????????
Step-by-step explanation:
Answer:
how much do the hello beans cost
8+(6 - 2)3 divided by 2