Answer:
c, and b.
Step-by-step explanation:
because it's the same as the ordered pair.
Please help I need it
During the months of August and September the total rainfall I August was 0.6 inch more than the amount f rainfall in September, how much rain fell in each month?
Answer:
August = 3.4
September = 2.8
Step-by-step explanation:
Given
[tex]Total = 6.2\ in[/tex]
Represent August with A and September with S.
So,
[tex]A =S + 0.6[/tex]
Required
Amount of rainfall in each month.
This is calculated using:
[tex]Total = August + September[/tex]
[tex]6.2= A + S[/tex]
Recall that: A = S + 0.6. Substitute
[tex]6.2= S + 0.6 + S[/tex]
[tex]6.2= 2S + 0.6[/tex]
Collect Like Terms
[tex]2S = 6.2 - 0.6[/tex]
[tex]2S =5.6[/tex]
Solve for S
[tex]S = 5.6/2[/tex]
[tex]S = 2.8[/tex]
Substitute 2.8 for S in [tex]A =S + 0.6[/tex]
[tex]A = 2.8 + 0.6[/tex]
[tex]A = 3.4[/tex]
Which of the following is not true about the inverse of f (x) = = 3x+5
2
Answer Before defining the inverse of a function we need to have the right mental image of function.
Consider the function f(x) = 2x + 1. We know how to evaluate f at 3, f(3) = 2*3 + 1 = 7. In this section it helps to think of f as transforming a 3 into a 7, and f transforms a 5 into an 11, etc.
Now that we think of f as "acting on" numbers and transforming them, we can define the inverse of f as the function that "undoes" what f did. In other words, the inverse of f needs to take 7 back to 3, and take -3 back to -2, etc.
Let g(x) = (x - 1)/2. Then g(7) = 3, g(-3) = -2, and g(11) = 5, so g seems to be undoing what f did, at least for these three values. To prove that g is the inverse of f we must show that this is true for any value of x in the domain of f. In other words, g must take f(x) back to x for all values of x in the domain of f. So, g(f(x)) = x must hold for all x in the domain of f. The way to check this condition is to see that the formula for g(f(x)) simplifies to x.
g(f(x)) = g(2x + 1) = (2x + 1 -1)/2 = 2x/2 = x.
This simplification shows that if we choose any number and let f act it, then applying g to the result recovers our original number. We also need to see that this process works in reverse, or that f also undoes what g does.
f(g(x)) = f((x - 1)/2) = 2(x - 1)/2 + 1 = x - 1 + 1 = x.
Letting f-1 denote the inverse of f, we have just shown that g = f-1.
Definition:
Let f and g be two functions. If
f(g(x)) = x and g(f(x)) = x,
then g is the inverse of f and f is the inverse of g.
Exercise 1:
Return to Contents
Finding Inverses
Example 1. First consider a simple example f(x) = 3x + 2.
The graph of f is a line with slope 3, so it passes the horizontal line test and does have an inverse.
There are two steps required to evaluate f at a number x. First we multiply x by 3, then we add 2.
Thinking of the inverse function as undoing what f did, we must undo these steps in reverse order.
The steps required to evaluate f-1 are to first undo the adding of 2 by subtracting 2. Then we undo multiplication by 3 by dividing by 3.
Therefore, f-1(x) = (x - 2)/3.
Steps for finding the inverse of a function f.
Replace f(x) by y in the equation describing the function.
Interchange x and y. In other words, replace every x by a y and vice versa.
Solve for y.
Replace y by f-1(x).
Example 2. f(x) = 6 - x/2
Step 1 y = 6 - x/2.
Step 2 x = 6 - y/2.
Step 3 x = 6 - y/2.
y/2 = 6 - x.
y = 12 - 2x.
Step 4 f-1(x) = 12 - 2x.
Step 2 often confuses students. We could omit step 2, and solve for x instead of y, but then we would end up with a formula in y instead of x. The formula would be the same, but the variable would be different. To avoid this we simply interchange the roles of x and y before we solve.
Example 3. f(x) = x3 + 2
This is the function we worked with in Exercise 1. From its graph (shown above) we see that it does have an inverse. (In fact, its inverse was given in Exercise 1.)
Step 1 y = x3 + 2.
Step 2 x = y3 + 2.
Step 3 x - 2 = y3.
(x - 2)^(1/3) = y.
Step 4 f-1(x) = (x - 2)^(1/3).
Exercise 3:
Graph f(x) = 1 - 2x3 to see that it does have an inverse. Find f-1(x). Answer
Step-by-step explanation:
pls brain list
what is the volume of a sphere with a radius of 16 cm use 3.14
Answer:
volume is 17157.28 :)
Step-by-step explanation:
Find the area of the trapezoid.
4 cm
12 cm
3
cm
Answer: 30
Step-by-step explanation:
A=a+b
2h=12+3
2·4=30
Answer: 24
Step-by-step explanation:
I would appreciate it please I need help
Answer:
B. n + 9
Step-by-step explanation:
Given:
n² + 3n - 54
Let's factorize
n² + 9n - 6n - 54
n(n + 9) -6(n + 9)
(n - 6)(n + 9)
Therefore, out if the options given, n + 9 is the expression of the factor of n² + 3n - 54.
If h = 19 inches, l = 28 inches, and w = 14 inches, what is the area of the figure shown above? A. 665 square inches B. 658 square inches C. 308 square inches D. 924 square inches
Answer:
Wouldn't it be 7448?
Step-by-step explanation:
I multiplied 19 x 28 x 14 and got 7448?
Oscar wants to make 4 chicken pot pies. The recipe requires 2/3 pound of potatoes for each pot pie. How many pounds of potatoes will oscar need
Answer:
3 1/2
Step-by-step explanation:
Answer:
he would need 2 and 2/3 pounds of potatoes
Step-by-step explanation:
you would add 2/3 together 4 times.
2/3 + 2/3 + 2/3 + 2/3 = 2 and 2/3
so oscar would need 2 and 2/3 pounds of potatoes.
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Paul got 15 out of 20 questions correct on his test. What percent of the questions did Paul get correct?
Answer:75%
Step-by-step explanation:
To make a fraction into a percent you have to multiply it by 100
So: 15/20 x 100=15x5=75 so he got 75% of his problems right
A student took a system of equations, multiplied the first equation by 2 and the second equation by 3, then added the results together. Based on this, she concluded that there were no solutions. Which system of equations could she have started with?
1) 2x-4y=6
3x+6y=9
2) 3x+y=12
-3x+6y=6
3) -2x+4y=4
-3x+6y=6
4) 3x+6y=9
-2x-4y=4
Answer:
system 4.
Step-by-step explanation:
3x+6y=9
multiply by 2
6x+12y=18 ....(1)
-2x+-4y=4
multiply by 3
-6x-12y=12 ...(2)
add (1) and (2)
0+0=30
which is impossible .It has no solutions.
Answer:4) 3x+6y=9-2x-4y=4
Step-by-step explanation:
I got the answer right
Roger made a table showing how he spent his time in one day. How many days
will go by before Rodger has slept the equivalent of one day. Explain how you found your answer!
Data:
work : 1/3 day
sleep : 3/8 day
meals: 1/8 day
computer : 1/6 day
PLSSS.... Answer must be whole #
Answer:
Roger will have to sleep 2.667 days.
Step-by-step explanation:
If Roger sleeps 3 / 8 of a day in one day.
Then for Roger to sleep the equivalent of one day he will have to sleep
=
You and some friends are at a Chinese restaurant. You order several `\$2.00` plates of wontons. Your bill is `\$24`. How many plates of wontons did you order?
Answer:
12
Step-by-step explanation:
It does not say what the tax is so the answer would be 12. You just divide 2 by 24.
Answer:
12
Step-by-step explanation:
24 divided by 2 is 12 or 2 times 12 is 24
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What single percentage change is equivalent to a 11% increase followed by a 15% increase?
Answer:
It's a total increase by 27,65%
Step-by-step explanation:
1,11 × 1,15 = 1,2765
1,2765 = +27,65%
What is 2/8 as a decimal and percent
Answer:
0.25 is a decimal and 25/100 or 25% is the percentage for 2/8.
Step-by-step explanation:
The result is: 0.25 and 25% is 2/8 as a decimal and percent.
Here, we have,
given that,
the fraction is: 2/8
now, we have to write as a decimal and percent.
so, we get,
2/8
[ dividing both numerator and denominator by 2 ]
= 1/4
= 0.25
so, we get, 0.25 is a decimal.
now, we have,
0.25 = 25/100 = 25%
so, we have, 25/100 or 25% is the percentage for 2/8.
To learn more on percentage click:
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is this the right answer?
Which conic section is represented by the following equation? 9x^2 – 5x – 3y^2 – 2y + 4 = 0
Answer:
D. Hyperbola
Step-by-step explanation:
I put B but it was wrong
D is the right answer
The given equation is represent a ''Hyperbola''.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The equation is,
⇒ 9x² - 5x - 3y² - 2y + 4 = 0
Now, We know that;
The standard form of the equation is,
⇒ ax² + by² + 2gx + 2fy + 2hxy + c = 0
For Hyperbola, The condition is,
⇒ h² > ab
For Ellipse , The condition is,
⇒ h² < ab
Here, We have;
⇒ h = 0
⇒ a = 9
⇒ b = - 3
⇒ ab = 9 x - 3 = - 27
⇒ h = 0
Hence, We get;
⇒ 0 > - 27
⇒ h² > ab
Thus, This equation is represent a ''Hyperbola''.
Learn more about the mathematical expression visit:
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1 A lawnmower that regularly sells for $200 is on sale for $85. Find the % of change that the price was decreased by ??? percent. Round to the nearest whole percent.
Answer:
The price changed by 92.5 %
Step-by-step explanation:
The regular price of lawn mover = 200 dollars
The new selling price = 85 dollars
Change in selling price = 200 -85 dollars = 115 dollars
% change == [tex]\frac{185}{200} * 100 = 92.5[/tex]
The price changed by 92.5 %
If you monthly salary is 5,167 and 28% is withheld for taxes and social security. How much money will be withheld from your check?
Answer:
jjjjjjj
Step-by-step explanation:
nnnnnnn
what are scale drawings
Answer:
A drawing that shows a real object with accurate sizes reduced or enlarged by a certain amount (called the scale). The scale is shown as the length in the drawing, then a colon (":"), then the matching length on the real thing.
Step-by-step explanation:
Answer:
Answer down below!
Step-by-step explanation:
A scale drawing is a drawing that is downsized. They are usually used to see how small to make a particular thing.
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The table below represents the displacement of a horse from its barn as a function of time:
Time Displacement
0 8
1 58
2 108
3 158
4 208
What would be the domain of the function if the horse continued to walk at this rate until it traveled 508 feet from the barn?
the graph of a system of linear equation is shown below
Answer:
B
Step-by-step explanation:
You are given two complementary angles. One has a measure of 4x and the other has a measure of 7x. What is x?
Answer:
Step-by-step explanation:
Because there are two angles and they both are Complementary(90 degrees)
We can do 4x + 7x = 90
11x = 90
x= 8.18 repeating
Kyle wants to wrap the box in wrapping paper.
A rectangular prism with a length of 18 inches, width of 6 inches, and height of 3 inches.
What is the minimum amount of paper needed to cover the entire box?
180 inches squared
324 inches squared
360 inches squared
648 inches squared
Answer: 360 in. squared
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
I did it and got it right
Determine whether each pair of figures is similar. If so, write the similarity statement and scale factor. If not, explain why. Number 1 and 2 on the second part.
9514 1404 393
Answer:
JKLM ~ QRSP, scale factor 0.6ΔABC ~ ΔUVT, scale factor 1.5Step-by-step explanation:
We can write the similarity statements by naming vertices in order of increasing numbers of arcs, starting with the one having a single arc. Then we can express the side lengths as a reduced ratio, in the same order.
1. JKLM ~ QRSP
JK : KL : LM : MJ = 20 : 15 : 24 : 25
QR : RS : SP : PQ = 12 : 9 : 14.4 : 15 = 20 : 15 : 24 : 25 (same ratios)
The scale factor is 12/20 = 0.6.
__
2. ΔABC ~ ΔUVT
AB : BC : CA = 16 : 14 : 12 = 8 : 7 : 6
UV : VT : TU = 24 : 21 : 18 = 8 : 7 : 6 (same ratios)
The scale factor is 24/16 = 1.5.
Help me please i font get it
Answer:
the last one, w-9
Step-by-step explanation:
plug in the given (9) for w and solve
Hope this helps :)
Answer:
Step-by-step explanation:
9-9=0 not 14
so w-9 is not a solution
What type of transformation transforms (a, b) to (-a, b)?
a reflection over the y-axis
a translation of 1 unit down
a reflection over the x-axis
a translation of 1 unit up
Answer:
A reflection over the y axis .
Step-by-step explanation:
Given : Transforms (a,b) to (-a,b).
To find : What type of transformation.
Solution : We have given
Parent function : (a,b) .
Transformed : (-a ,b).
Transformation rule of reflection over y axis : ( x, y) →→ ( -x ,y).
Then we can say in transformation (a,b) →→→→ (-a,b).
Therefore, A reflection over the y axis
Step-by-step explanation:
plz brain list
Answer:
hes right i took the test
Step-by-step explanation:
Find -1/9(-27) show your work
Answer:
-1/9(-27)=3
Step-by-step explanation:
that's my answer
The equation w(t)=100+40t models the weight (w(t) in grams) of a male white laboratory rat t weeks after its birth.
What is the rate of change? What does it mean in the context of the problem?
What is the y-intercept? What does it represent in the context of the problem?
Answer:
Step-by-step explanation:
Can someone give me the answer asap
Answer:
https://brainly.in/...,..,
Answer:
38.4895cm²
Step-by-step explanation:
area of a circle with r=7
3.142×7² = 153.958
153.958/4 = 38.4895
Add the fractions. Reduce the answer to lowest terms.
8\9+1/9
Answer:
1
Step-by-step explanation:
8 + 1 = 9/9
- -
9. 9