Answers
Let's complete the square
f(x) = x^2 + 6x + 8
y = x^2 + 6x + 8
y-8 = x^2 + 6x
y-8+9 = x^2+6x+9 .... see note below
y+1 = (x+3)^2
y = (x+3)^2-1
note: I added 9 to both sides due to taking half of the 6, and then squaring that result.
We'll restrict x such that [tex]x \ge -3[/tex] to ensure that this function is one-to-one.
Now we need to swap x and y, and solve for y to get the inverse
y = (x+3)^2 - 1
x = (y+3)^2 - 1
x+1 = (y+3)^2
(y+3)^2 = x+1
y+3 = sqrt(x+1)
y = sqrt(x+1)-3
g(x) = sqrt(x+1)-3 is the inverse
The graph is shown below. The original function is in red. The inverse is in blue. The inverse is the result of reflecting the red curve over the dashed line y = x. So this explains why x and y swap places. Consequently, the domain and range also swap as well.
Related Questions
What is the smaller angle of (x+20) (5x+10)
Answers
Answer:
Step-by-step explanation:
What is the probability of spinning a A?
Answers
Answer:
The probability is 1/4, give me brainliest answer
The step by step solution to this is very simple, There are two "A" spots on the wheel and 8 spots all together. 2/8= 1/4= 25%
Answer: 3/5
Step-by-step explanation:
The probability of spinning a one can be written as a fraction. One out of five sections contain a '1' and so, the probability of spinning a one is 1 / 5 . Because 1 is less than half of 5, this outcome can be described as unlikely. The probability of spinning a two is 3 / 5.
Francisca and Elizabeth are participating in a walk-a-thon fundraiser.
For every hour Francisca walks she raises $25.50. For every hour
Elizabeth walks she raises $14.50. Each girl walks for 3 hours. How
much will they raise together?
Answers
can someone tell me the area and explain
Answers
Answer:
120ft^2
Step-by-step explanation:
because the formula for finding the area of a rectangle is length times width, in this case it is 15 ft for the length and 8 ft for the width, so you would multiply both of those numbers together like 15*8=120ft.
Subtract.
4/5 - 1/4 =
plz hellllllllllp
Answers
Answer:
Hello
=4/5-1/4
Taking LCM,
LCM=20
=4*4/5*4 - 1*5/4*5
=16/20-5/20
=11/20
Answer:
11/20
Step-by-step explanation:
Please help me with this question on my homework (graded)
Answers
Answer:
could be plus ten and that gives u 49
Step-by-step explanation:
Emil is inviting 7 friends to a party. Each friend wants 5 cookies and each box has 12 cookies. How many boxes should Emil get?
Answers
Answer:
3 boxes.
Step-by-step explanation:
Solution,
Given,
The number of cookies : 7 × 5 = 35
Now,
The total number of cookies to cookies per box 35 ÷ 12 = 2.9 box
= 3 boxes.
Myesha finds some nickels and quarters under the couch cushions. How many coins does she have if she has 6 nickels and 12 quarters? How many coins does she have if she has x nickels and y quarters?
Answers
If Myesha found 6 nickels and 12 quarters under her cushion, this means that she has a total of 18 coins.
What is an equation?An equation is an expression used to show the relationship between two or more variables and numbers.
Let x represent the number of nickels and y represent the number of quarters. There are 2 cups in 1 pint. Hence:
If she has 6 nickels and 12 quarters:
Number of coins = 12 + 6 = 18
If she has x nickels and y quarters:
Number of coins = x + y
If Myesha has 6 nickels and 12 quarters, this means that she has 18 coins.
Find out more on equation at: https://brainly.com/question/2972832
True or false: Outliers can cause data sets to be skewed.
Answers
Answer:
True
Step-by-step explanation:
Firstly, the definition of an outlier is a number farther away from the general populous of digits. For example, a number line can have a lot of numbers clustered at 2, 3, and 4 but might have one way over on 10. This would mean 10 is an outlier.Secondly, a skew is when a dot plot or a box and whisker plot is shaped a certain way. A negative skew would be a graph sloping to the right, and a positive skew is a graph sloping to the left. It looks a bit like a hill.Knowing that the shape is made up of the different numbers and their amount, we can conclude that an outlier, or a number that is stretched far from the others, would affect the data set.This means that the skew might change if there is a variable that is out of place.If I am incorrect in my reasoning, please let me know so that I can plan better for my future answers. Have an amazing day.
WILL MARK BRAINLIEST IF CORRECT PLEASE ANSWER!!!!
Square GHIJ circumscribes circle K. Find the area of the shaded region. Round your answer to the nearest tenth if necessary.
Answers
Answer:
13.7
Step-by-step explanation:
I just did the problem
12a+3b
would it be 15ab?
I'm not understanding how to solve it
I'll give 20 points just please help me lol
Answers
They are unlike terms you can’t add them together
What is the geometric mean of 9 and 18
Answers
[tex]\cfrac{9}{x}~~ = ~~\cfrac{x}{18}\implies 162=x^2\implies \sqrt{162}=x\implies \sqrt{9^2\cdot 2}=x\implies 9\sqrt{2}=x[/tex]
Write the ratio as a fraction in simplest form.
10 feet to 5 yards
Answers
Answer:
1:0.33
Step-by-step explanation:
This is because one foot= .333 yards
I hope this is what you were asking! :)
The mean mass of a dairy cow is 634.5 kg with a standard deviation of 64.2 kg. A sample of 50 cows is obtained. Find the probability that the mean mass of the sample is at least 640 kg
Answers
Answer:
oh hun is 640kg stupid cow
Step-by-step explanation:
what the answer and show step by step how you got the answer
2(6x+1)=14x-6
Answers
Answer:
[tex]\boxed{x=4}[/tex]
Step-by-step explanation:
[tex]2(6x+1)=14x-6[/tex]
→ Expand brackets on left side
[tex]12x+2=14x-6[/tex]
→ Minus 14x from both sides to collect the x terms
[tex]-2x+2=-6[/tex]
→ Minus 2 from both sides to isolate 2x
[tex]-2x=-8[/tex]
→ Divide both sides by -2 to isolate x
[tex]x=4[/tex]
Answer:
4=x
Step-by-step explanation:
2(6x+1)=14x-6
12x+2=14x-6
+6+2=14x-12x
8=2x
4=x
what up................................................
Answers
Answer:
nothing wbuuuu
Step-by-step explanation:
Answer:
Hey
Step-by-step explanation:
How are you doing???
A store pays $3 for a magazine. The markup is 5%.
Answers
Answer/Step-by-step explanation:
Given;
A store pays $3 for a magazine.
The markup is 5%.
Solve:
$3 × 5% = 0.15 [Markup Price]
$3 + 0.15 = $3.15 [Final Price]
Hence, the total is $3.15.
~Learn with Lenvy~
what does g stand for in math?
Answers
Answer:
g stands for a measure of mass that is approximately equal to the weight of paper clip, penny, or nickel. note: this is not a fake one this is real and I have done my research
A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other. each cracker measures 2 inches in length by one and one-half inches in width. the volume of the column is 15 inches cubed. if there are 40 crackers in the column, what is the height of each individual cracker? startfraction 3 over 40 endfraction inch one-eighth inch one-fifth inch three-eighths inch
Answers
The height of each individual cracker is one-eighth inch. Then the correct option is B.
What is Geometry?It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A type of cracker, rectangular in shape, is stored in a vertical column with all of the crackers stacked directly on top of each other.
Each cracker measures 2 inches in length by one and one-half inches in width.
The volume of the column is 15 inches cubed.
If there are 40 crackers in the column
The height of the cracker will be
[tex]\rm h = \dfrac{15}{1.5*2}\\\\h = 5[/tex]
The height of each individual cracker will be
[tex]\rm h_c = \dfrac{5}{40}\\\\\\h_c = \dfrac{1}{8}[/tex]
More about the geometry link is given below.
https://brainly.com/question/7558603
Answer:
BStep-by-step explanation:
is the answer
2x + 3y = 26
3x + 5y = 40
Answers
2x + 3y = 26 -- equation 1
3x + 5y =40 -- equation 2
(Equation 1) * 3
6x + 9y = 78 -- equation 3
(Equation 2) * 2
6x + 10y = 80 -- equation 4
(Equation 4) - (Equation 3)
y = 2 -- equation 5
(Equation 5)'s value of y into (Equation 1)
2x + 3(2) = 26
2x = 20
x = 10
Thus x = 10 and y = 2
Hope that helps!
The ratio of boys to girls in a class is 3:5. There are 40 students in the class. How many students are girls?
Answers
Answer:
25
Step-by-step explanation:
40/8 = 5
3:5 so u do 5x5 which is 25
brief explanation and hoped it helped xoxo
Answer:
25 girls
Step-by-step explanation:
boys: girls: total
3 5 8
Take the total number of students and divide by 8
40/8 = 5
Multiply each term by 5
boys: girls: total
3*5 5*5 8*5
15 25 40
There are 25 girls
Each of the equal sides of an Isosceles Triangle is 4 times the third side. The perimeter of the triangle is 144 inches. Find the sides of the Triangle.
Answers
Answer:
16 + 64 + 64 are the 3 sides.
Step-by-step explanation:
There are two sides that are 4 times the third side.
Let the 3rd side = x
4x + 4x + x = 144 inchines
9x = 144 inches
x = 144/9
x = 16 inches.
So the base (which is the smallest side) = 16 inches.
One of the two sides remaining is 4x = 4*16 = 64
The other side = 64
Check
64 + 64 + 16 = 144 as it should.
Answer:
Step-by-step explanation:e
Order the temperatures from greatest to least
90°F
-25°F
-45°F
60°F
5°F
10°F
Answers
Answer:
90, 60, 10, 5, -25, -45
Step-by-step explanation:
Answer: -45 F, -25 F, 5 F, 10 F, 60 F, 90 F
Step-by-step explanation:
What is the volume of this right cone?
40π cm^3
300π cm^3
400π cm^3
480π cm^3
Answers
I Hope this Helps You?
What is the volume of this right cone? 40π cm³ 300π cm³ 400π cm³ 480π cm³
✓ The answer is 400pi because the area of a cone is A=1/3*pi*r^2*h1/3*pi*100*12 = 400pi
In one day, Joe consumes 530 calories by drinking 1 serving of juice, 2 servings of milk, and 1 soda. Darius consumes 370 calories by drinking 2 servings of juice and 1 serving of milk. Marian consumes 510 calories by drinking 3 servings of milk and 1 soda. Using matrices to solve, how many calories are in 1 serving of milk?
A. 90
B. 110
C. 130
D. 180
Answers
Answer:
the answer is B on ed2020
Step-by-step explanation:
for answer b, if you subtract 330 from 510 you get soda = 180 cal. then if you subtract 110 from 370 you get 260, and 260 divided by two (he consumed 2 juice) equals 130.
so you have soda = 180 cal and juice = 130 cal
if you plug it into joe's calorie intake you do 130 (1 serving of juice) + 180 (1 serving of soda) and + 220 (two servings of milk) you get 530 which is joe's total calorie intake in liquids, so B (110) is correct
Using matrices to solve, the number of calories that are in 1 serving of milk is; 110 Calories
How to solve Linear Programming problems?
Let the calories in one serving of milk be x
Let the calories in one serving of juice be y
Let the calories in one serving of soda be z
Thus, for Joe, equation to show amount of calories is;;
2x + y + z = 530 -----(1)
For Darius, equation to show amount of calories is; ;
x + 2y = 370 ------(2)
For Marian, equation to show amount of calories is;
3x + z = 510 ------(3)
Using matrix calculator online to calculate this 3 equations, we have;
x = 110 calories.
Read more about Linear Programming at; https://brainly.com/question/23414950
#SPJ2
Toby has $65 to buy t-shirt for his bowling team each t-shirt costs $7
Answers
Answer:
$9.28 per t-shirt
Step-by-step explanation:
plz mark brainlest
Answer:
He has enough money to buy 9 t-shirts and he would have 2 dollars left over
Step-by-step explanation:
Divide 65 by 7. You would get 9 with a remainder of 2. So you have enough to buy 9 t-shirts.
Which of the following is the solution to |x|+5<1
Answers
Answer: No solutions
Step-by-step explanation:
|x|+5<1
Subtract 5 from both sides.
|x| < -4
No solutions is possible
A graph that represents 2x-3y=9
Answers
I attached to pictures, one of me solving the equation for you step by step and then what the graph should look like when i put it in my calculator!!
the slope is 2/3x and it translate down 3 units on the y-axis!!Becka says that when she simplifies the expression below, the value is 6 less than her age. What is Becka’s age?
(7 + 11) − 8 ÷ 2
Answers
Answer:
20
Step-by-step explanation:
heart and brainliest pls
Answer:
18
Step-by-step explanation:
you have to do parentheses first, then division. Then you can subtract because of the order of operations, PEMDAS, which is parentheses, exponents, multiplication or division, and addition or subtraction. After you do the equation you get 12. That is 6 less than Becka's age, making Becka's age 6 more than that, which is 18
Choose the inequality that represents the following graph.
Answers
Answer:
option a is correct thanx