Answer:
[tex]\huge\boxed{g^{-1}(x)=\sqrt{x-1}\ \text{for}\ x\geq1}[/tex]
Step-by-step explanation:
[tex]g(x)=x^2+1\to y=x^2+1\\\\\text{exchange x with y and vice versa}\\\\x=y^2+1\\\\\text{solve for}\ y\\\\y^2+1=x\qquad|\text{subtract 1 from both sides}\\\\y^2=x-1\to y=\sqrt{x-1}\\\\\text{Domain}\\\\x-1\geq0\qquad|\text{add 1 to both sides}\\\\x-1+1\geq0+1\\\\x\geq1[/tex]
[tex]g(x) = x^2+1\\\\\text{Write g(x) as}~ y = x^2 +1\\\\\text{Replace x with y: }\\\\x = y^2 +1\\\\\text{Solve for y:}\\\\x = y^2 + 1 \\\\\implies y = \pm \sqrt{x-1}\\\\\\\implies g^{-1} (x) = \pm\sqrt{x-1}[/tex]
what is 10 2/1 divided by 2 1/4
Answer:
5.3 but the three is repeated
Step-by-step explanation:
Answer:
[tex]10 \frac{2}{1} \div 2 \frac{1}{4 } = \frac{48}{9} [/tex]
Penjelasan
[tex]10 \frac{2}{1} = \frac{12}{1} [/tex]
[tex]2 \frac{1}{4} = \frac{9}{4} [/tex]
[tex] \frac{12}{1} \div \frac{9}{4} = \frac{12}{1} \times \frac{4}{9} = \frac{48}{9} [/tex]
Then the answer is 48/9
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[tex] \green{ \boxed{ \boxed{ \sf{Lusi \: Adriana} } } } [/tex]
what is 3a² bc
² if a= 2 b =3 c =4
Answer:
If a=2, b=3, c=4,
3a²bc = 3(2)²(3)(4)
= 3×4×3×4
= 12²
= 144
Answer:
the answer is 144
Step-by-step explanation:
3a²bc
=3×2×2×3×4
=3×4×12
=12×12
=144
Write (-3,-9) and (4,-2) in slope intercept form
Answer:
Slope intercept form is y = x - 6 (you don't write 1 in front of x in this case btw)
Slope = 1
Y-intercept = -6
Step-by-step explanation:
Slope intercept form looks like this y=mx+b, where m is slope and b is y-intercept.
To find slope, we will do y2 - y1 over x2 - x1.
This is how coordinates are written btw (x,y)
So we will do:
-2 - (-9) = -2 + 9 = 7
4 - (-3) = 4 + 3 = 7
Since 7/7 is the same as 7÷7, the slope is going to be 1. (It's also a positive slope btw)
Now, in order to find what the y-intercept is, you should use the point slope formula⤵⤵⤵:
[tex]y - y _{1} = m(x - x _{1})[/tex]
We'll use point (4,-2) for this:
y + 2 = 1 (x - 4)
Now we solve:
Distribute the 1 among everything inside the parenthesis to get y + 2 = x - 4, then subtract 2 on both sides to get y = x - 6.
Hope this helps :)
Choose the end behavior of the graph of each polynomial function
Answer:
D, A, B
Step-by-step explanation:
The sign of the leading coefficient always tells you the end behavior on the right: positive = rises; negative = falls.
The degree of the polynomial tells you how the left- and right-end behaviors compare: even = they are the same; odd = they are opposites.
__
A) negative leading coefficient, even degree:
falls to the left, falls to the right (D)__
B) positive leading coefficient, odd degree:
falls to the left, rises to the right (A)__
C) negative leading coefficient, odd degree
rises to the left, falls to the right (B)write an absolute value equation representing all numbers x whose distance from 0 is 6 units
Answer:
Answer:
Step-by-step explanation:
Step-by-step explanation:
Plss help me! I’m so confused! Brainlist! Pls no links and deleting!
$60
Step-by-step explanation:
The unit rate can be determined by dividing $24 by 8 attendees to get
[tex]\dfrac{\$24}{8\:\text{attendees}} = \$3/\text{attendee}[/tex]
so when 20 people are attending the graduation picnic, his total cost is going to be
[tex]20\:\text{attendees}×\dfrac{\$3}{\text{attendee}} = \$60[/tex]
A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained the wishes the estimate to be within three percentage points
with 90% confidence, assuming that
(a) he uses the estimates of 21.3% male and 19.5% female from a previous year?
(b) he does not use any prior estimates?
(a)n (Round up to the nearest whole number)
(b) (Round up to the nearest whole number.)
Using the z-distribution and the formula for the margin of error, it is found that:
a) A sample size of 54 is needed.
b) A sample size of 752 is needed.
In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]\alpha[/tex], we have the following confidence interval of proportions.
[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
In which z is the z-score that has a p-value of [tex]\frac{1+\alpha}{2}[/tex].
The margin of error is of:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
90% confidence level, hence[tex]\alpha = 0.9[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.9}{2} = 0.95[/tex], so [tex]z = 1.645[/tex].
Item a:
The estimate is [tex]\pi = 0.213 - 0.195 = 0.018[/tex].
The sample size is n for which M = 0.03, hence:
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.018(0.982)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.018(0.982)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.018(0.982)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.018(0.982)}}{0.03}\right)^2[/tex]
[tex]n = 53.1[/tex]
Rounding up, a sample size of 54 is needed.
Item b:
No prior estimate, hence [tex]\pi = 0.05[/tex]
[tex]M = z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]
[tex]0.03 = 1.645\sqrt{\frac{0.5(0.5)}{n}}[/tex]
[tex]0.03\sqrt{n} = 1.645\sqrt{0.5(0.5)}[/tex]
[tex]\sqrt{n} = \frac{1.645\sqrt{0.5(0.5)}}{0.03}[/tex]
[tex](\sqrt{n})^2 = \left(\frac{1.645\sqrt{0.5(0.5)}}{0.03}\right)^2[/tex]
[tex]n = 751.7[/tex]
Rounding up, a sample of 752 should be taken.
A similar problem is given at https://brainly.com/question/25694087
how do i do 3 5/6 - 2 7/15?
Answer:
don't know don't know don't know don't know don't know don't know don't know
Step-by-step explanation:
don't know don't know don't know don't know don't know don't know don't know don't
1. BC=DA
how do i find the reason
Answer:
sounds like you're doing a geometry proof. First ask yourself if you believe BC=DA... then ask yourself why do you believe or know it to be true. keep challenging yourself until you find the reason.
In the penny game exercise, why do you think it takes longer for one person to flip five batches of two pennies then one batch of ten pennies
It takes longer for one person to flip five batches of two pennies than one batch of ten pennies, mainly for a simple reason: although 5 x 2 is equal to 10, that is, it will take the same time to flip the coins, 5 batches is greater than 1 batch, which will take longer to manipulate each of these, increasing the total time.
Learn more about maths in https://brainly.com/question/21477139
What do you call raising a base to the exponent 2
Answer:
Squaring
Step-by-step explanation:
PASSCODE DECODER RING SHRI o If it takes 6 hours to bake 3 cakes, then at that rate, how many cakes could be baked in 12 hours? If Ava makes $15 in 2 hours, what is her rate of pay? 3nt took 5 hours to mow 6 yards. At that rate, how many yards can be mowed in 20 hours? co malaya $ o 94 If 10 bags of ice cost $12, how much does 1 bag cost? 5 A car gets 30 miles per gallon of gas. At that rate, how many gallons would it take for the car to go 360 If you type 75 words in 3 minutes, at what rate do you type? RECORD PASSCODE Directions Complete the questions, match each answer on the decoder eing, med record the letter from that spot When complete, go back to The Nission page te access the posscode reader to check your answer and solve another part of the mystery
The rate is a fraction that compares the values of two quantities. The expected answers to the questions are given below:
1. Given that 3 cakes takes 6 hours to bake, then:
1 cake = [tex]\frac{6}{3}[/tex]
= 2 hours
So that;
the number of cake to be baked in 12 hours = [tex]\frac{12 hours}{2 hours}[/tex]
= 6
The number of cake to be baked in 12 hours is 6.
2. Ava's rate of pay = [tex]\frac{15}{2}[/tex]
= $7.5 pr hour
Thus Ava's rate of pay is $7.5 per hour.
3. It took 5 hours to mow 6 yards. Thus;
To mow 1 yard = [tex]\frac{5}{6}[/tex] hours
The number of yards to be mowed in 20 hours = 20 ÷ [tex]\frac{5}{6}[/tex]
= 20 x [tex]\frac{6}{5}[/tex]
= 24
The number of yards to be mowed in 20 hours is 24.
4. Given that 10 bags of rice cost $12, then;
1 bag = [tex]\frac{12}{10}[/tex]
= 1.2
1 bag = $1.2
The cost of a bag of rice is $1.2.
5. Rate = 30 miles per gallon
The number of gallons required = [tex]\frac{360}{30}[/tex]
= 12
Thus 12 gallons would be required by the car to travel 360 miles.
6. Rate = [tex]\frac{75}{3}[/tex]
= 25
Rate = 25 words per minute
The typing speed is 25 words per minute.
For more on rate, check: https://brainly.com/question/119866
Sierra is getting a loan to purchase a car, but she has a few options for loan terms. She is comparing the cost of each loan to determine which loan will cost the least in terms of interest paid. (Interest is the fee paid for the use of borrowed money, and it is expressed as a percentage of the amount borrowed multiplied by the amount of time the borrower takes to repay the loan.) All of the loan offers are for $10,000, and include an upfront fee of $200. They are all simple interest loans (as opposed to compound interest loans). Loan A is to be paid back over five years with an annual interest rate of 6 percent. Loan B is to be paid back over four years with an annual interest rate of 4 percent. Loan C is to be paid back over three years with an interest rate of 5 percent. How does Sierra figure out which loan will require the lowest interest payments?
Answer:
B
Step-by-step explanation:
Estimate 5,924 ÷ 33 =
please this is all I ask is what is this?
I need it ASP
Answer:
179.6 (Estimated)
Step-by-step explanation:
5,924 ÷ 33 = 179.6 (Estimated)
Hoped this helped.
Answer:
5,924 ÷ 33 = 179.6 (in estimated form)
Step-by-step explanation:
5,924 divided by 33 equals 179.515151515.
Since 179.515151515 is not in estimated form, this can't be the correct answer.
Since we see that 51 is repeating, this allows us to determine whether we can round this up or not.. And we can!
179.515151515 → 179.6
Since 51 was repeating, we could round it up.
Therefore, 179.6 is your final answer.
Hope this helps! :D
(Can you mark me brainliest? It is greatly appreciated!)
- ♥ 7272033Alt ♥
what is The greatest common factor of 42 and 96? I need it to be broken down for me to understand. thanks
Answer:
GCF is 6
Step-by-step explanation:
42 :
2 | 42
3 | 21
7 | 7
| 1
; 42 = 2 x 3 x 7
96 :
2 | 48
2 | 24
2 | 12
2 | 6
3 | 3
| 1
; 96 = 2 x 2 x 2 x 2 x 2 x 3
here, common factors are 2 x 3 = 6
Hence, the GCF of 42 and 96 is 6.
Which is the best estimate of the distance between the point (–25, 10) and the origin? 8 units 15 units 23 units 27 units
Answer:
27 units
Step-by-step explanation:
I don't think that diagonals count so I think it is 27 units.
Tell me if I'm wrong :)
Circumference and area of a circular piece of glass
Answer:
Area = πr²
Circumference = 2πr
You can use pie as both 22/7 Or 3.14
Step-by-step explanation:
If you like my answer than please mark me brainliest thanks
Ali’s cow gives 2 1/4 gallons of milk each day. How much is this in quarts? Write your answer as whole number or a mixed number In simplest form. Include the correct unit in your answer.
Answer:
9 quarts
Step-by-step explanation:
The company charges $85 for each
16-pound bowling ball. Over the past several months, the company sold 100,000 bowling balls. How much did the company earn for these sales?
Answer:
8,500,000
Step-by-step explanation:
if they sold 100,000 bowling balls and they are all 16 pound balls then the equation is (100,000 x 85) with then equals 8,500,000.
In the coordinate plane, the points A(-8, -6), B(-9, 11), and C(3. - 7) are reflected over the y-axis to the points A, B, and C', respectively. What are the coordinates of A' B', and C'?
Answer:
A' = (8,-6)
B' = (9,11)
C' = (-3,-7)
Step-by-step explanation:
When reflecting a point over the y axis, multiply the point's x coordinate by -1. Do this for each point and you have your answer.
WILL GIVE BRAINLIEST
(5x-7)
(10x-32)
14
the perimeter of the pictured triangle is _____ in.
By converse of isosceles triangle theorem:
5x - 5 = 10x - 32
add 32 and -5x at both sides
27 = 5x (divide 5 both sides)
x = 5.4
5(5.4) - 5 = 27 - 5 = 22 inches
22 + 22 + 14 = 58 inches
Using 7 what is the angle measure represented by the expression (2x+45)°?
PLEASE HELP ITS URGENT
If you plug 7 as x into:
(2x+45)
then you get
(2(7)+45)
(14+45)
(59)
Separate 846 into 3 parts so that the second part is twice the first part and the third part
is triple the second part.
x=1st
2x= and
32x)= 3(2x)
Answer:
it is 1 ok have fun babby and enjoy your Christmas ok baby bye bye
Answer:
1) 94, 2) 188, 3) 564
Step-by-step explanation:
This is pretty simple. The first thing you want to do is come up with an algebraic equation to solve this. It will be x + 2x + 6x=846 . The first x represents the smallest part, or the first part. The second part is represented by 2x because it is twice the first, and 6x is 3 times the second part which is 6 times the first part. Combine like terms to get 9x = 846. Now isolate the variable by dividing 9 from both sides. This will give you x = 94. Now just plug in the x to find the second and third part.
Hope this helped :)
What is m + 5n where m = 1 and n = 5?
CHOOSE THE RIGHT ANSWER:
A. 26
B. 52
C. 25
D. 62
HELP! (T^T)
Answer:
A. 26
Step-by-step explanation:
substitute the number in for the variables (letters).
[tex]m + 5n \\ \\ 1 + 5(5) \\ 1 + 25 \\ 26[/tex]
GIVING OUT BRAINLIEST!!
Answer:
Jill plz tell if i am right
Step-by-step explanation:
give me schoology website
Which
graph shows the solution to the
system of linear inequalities?
y > 2/3x + 3
y < - 1/3x + 2
-
Answer:there is no graphs
Step-by-step explanation:
poop
100 raspberries weigh 40 grams. if there is a proportional relationship between raspberries and weight, how many raspberries does it take to weigh 100 grams
Answer:
250 raspberries
Step-by-step explanation:
So if 100 raspberries weigh 40 grams, each raspberry weighs 40/100 grams, which is 4/10 of a gram. so, you need to do 100/ 4/10=250
The property taxes on a business office were $2340. What was the tax rate if the business office was valued at $260,000? Follow the problem-solving process and
round
your answer to the nearest hundredth of a percent, if necessary.
Answer:
It is 2447/150,000
=0.0163=1.63%
Step-by-step explanation:
Write an equation with slope of -2 and goes through the point (-3,7)
Answer:
y = -2x + 1
Step-by-step explanation:
Substitute the slope and the given point into y = mx + b and solve for "b".
y = mx + b
7 = -2(-3) + b
7 = 6 + b
1 = b the y-intercept is 1
The equation of the line is y = -2x + 1
ed says a decimal grid shows 10 tenths monica says a decimal grid shows 100 hundredths who is correct explain PLEASE HELP I NEED TBIS DONE IN 30 minutes
Answer:
will i need a picture but its probably 10 count by 5s
Step-by-step explanation: