Answer:
G^−1(x)=3√x+1+1
Step-by-step explanation:
Answer:
[tex]g^{-1}(x)[/tex]= [tex]\sqrt[3]{x+1}[/tex]+1
Step-by-step explanation:
To find the inverse, swap x and y.
g(x)=(x-1)^3-1
-> x=(y-1)^3-1
Solve the equation in terms of y.
x=(y-1)^3-1
x+1=(y-1)^3
[tex]\sqrt[3]{x+1}[/tex]=y-1
[tex]\sqrt[3]{x+1}[/tex]+1=y
solve for x, find the measure of all angles.
Answer:
x = 14
angles are 96, 42, 42
Step-by-step explanation:
sum of all angles in a triangle is 180
3x + 3x + 96 = 180
6x + 96 = 180
6x = 180 - 96
6x = 84
x = 14
angles are 96, 3x, 3x
96, 3*14, 3*14
96, 42, 42
Answer:
x=14
Step-by-step explanation:
3x + 3x + 96 = 180º
6x +96º = 180º
6x = 180º - 96º
6x= 84
x = 14
Alex borrowed 12.50 from his friend. He paid him back 8.75. How much does he still owe?
Answer:
3.75
Step-by-step explanation:
If Alex borrowed 12.50 and paid him back only 8.75, that means he still owes him 3.75. 12.50 - 8.75 = 3.75
help me pls...........
Hello,
We need first to know what's a gradient. The Gradient (also called Slope) of a straight line shows how steep a straight line is.
But how do we find the slope (or Gradient) from two points ?
For exemple, let's find the gradient of the two points PQ...
Method
1. We need the coordinates of the point P, and the point Q :
P = (6 ; -11)
Q = (k ; -9)
2. The slope is the change in height divided by the change in horizontal distance.
In other words we :
a) subtract the x values
b) subtract the y values
c) divide
Application for PQ
subtract x values : xQ - xP = k - 6
subtract the y values : yQ - yP = -9 - (-11) = -9 + 11 = 2
divide : (k-6) / 2
That is the gradient of PQ.. Now let us find the gradient of PR
Application for PR
subtract x values : xR - xP = 2k - 6
subtract the y values : yR - yP = -3 - (-11) = -3 + 11 = 8
divide : (2k-6)/8
That is the gradient of PR.
We know that by assumption, gradient of PQ = gradient of PR, what is the value of k ? Well, we simply need to solve an equation here :
gradient of PQ = gradient of PR
(k-6) / 2 = (2k - 6) / 8
k-6 = (4k - 12)/8 (we have multiplied by 2 on each sides of the equation)
8k - 48 = 4k - 12 (we have multiplied by 8 on each sides of the equation)
8k - 4k = - 12 + 48
4k = 36
k = 36 / 4 = 9
So the value of k in order for the two gradients to be equals needs to be equal to 9
Good luck
Help please quick I don’t understand this stuff
Hello,
(i) Express n as the subject.
[tex]C=\frac{nA}{n+12}[/tex]
[tex]C(n+12) = nA\\nC + 12C = nA\\\frac{nC+12C}{n}=\frac{nA}{n} \\\frac{nC}{n}+\frac{12C}{n} = A \\\frac{12C}{n} =A-C\\\frac{n}{12C}=\frac{1}{A-C} \\n = \frac{12C}{A-C}[/tex]
(ii)
Since C = 6 mL and n = 8 we need to solve this equation of unknown A :
[tex]6 = \frac{8A}{8+12} \\6 = \frac{8A}{20}\\8A = 20*6\\A = \frac{5*4*2*3}{4*2}\\A = 15[/tex]
Thus, the equivalent adult dosage A would be 15 mL
(iii) I let you think about this one
Good Luck
hospital in California is keeping track of the weight of a newborn baby. A newborn baby gains an average of 1.5 ounces per day. One baby currently weighs 72 ounces. Write an algebraic equation that describes the relationship between the number of days (d) and the total weight of the baby (w).
Fill in the blank for
w =
On average, a newborn drinks about 1.5-3 ounces (45-90 milliliters) every 2-3 hours
[tex]\frac{7}{10} - \frac{2}{5}[/tex]
Answer:
[tex]\frac{3}{10}[/tex]
Step-by-step explanation:
First, we need to make the denominators the same.
[tex]\frac{7}{10} -\frac{2}{5} =\frac{7}{10} -\frac{2*2}{5*2}=\frac{7}{10} -\frac{4}{10}[/tex]
Then, we subtract the numerator.
[tex]\frac{7}{10} -\frac{4}{10} =\frac{3}{10}[/tex]
what is the sum of 5.4 + (-9.7)
Answer:
-4.3
Step-by-step explanation:
A single basket basketball match will be organized by forming 3 teams in equal numbers from a group of 9 students. In how many ways can these three teams be formed?
~combination
[tex] \large \sf C(n,r) = \frac{n!}{(n-r)! .r!} [/tex]
[tex] \large \sf = C(9,3) = \frac{9!}{(9-3)!.3!} [/tex]
[tex] \large \sf = \frac{9!}{6!.3!} [/tex]
[tex] \large \sf= \frac{(9.8.7.6.5.4.3.2.1)}{(6.5.4.3.2.1).(3.2.1)} [/tex]
[tex] \large \sf = \frac{362880}{720.6} [/tex]
[tex] \large \sf = \frac{362880}{4320} [/tex]
[tex] \large \sf = \boxed{84}\: ✓[/tex]
~ nice to help you ^^
Equation
Graph
y = 2x +
y=-*x+2
y = –20 - 3
y = 3x - 2
Answer:
I had to interpret y=-*x+2 and y = –20 - 3:
y = -x+2 and y=-20x-3
Graph the equations on DESMOS. The result is attached.
Step-by-step explanation:
49 kilogram of baking soda costs $2. How much does 1 kilogram of baking soda cost?
Answer:
4.5
Step-by-step explanation:
Answer:
4.5
Step-by-step explanation:
4.5
I do this do y'all can get extra point and complete challenges!
What is 1 + 1
(hey, it's 100 points, you can do it)
Answer:
1 + 1 is 2
Step-by-step explanation:
very hard question
Answer:
Step-by-step explanation:
1+1= 2
Please solve step by step
Answer:
Hopefully this is the question: 7[tex]x^{2}[/tex] + 3x - [tex]x^{2}[/tex]
Step-by-step explanation:
7[tex]x^{2}[/tex] + 3x -[tex]x^{2}[/tex]
= 6[tex]x^{2}[/tex] + 3x
= 3x ( 2x + 1 )
Hopefully this helps.
if 3x+4y=11 and xy=2 solve simultaneously
Answer:
(1, 2 ) and ([tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
Step-by-step explanation:
3x + 4y = 11 → (1)
xy = 2 ( divide both sides by y , y ≠ 0 )
x = [tex]\frac{2}{y}[/tex] → (2)
Substitute x = [tex]\frac{2}{y}[/tex] into (1)
3([tex]\frac{2}{y}[/tex] ) + 4y = 11
[tex]\frac{6}{y}[/tex] + 4y = 11 ( multiply through by y )
6 + 4y² = 11y ( subtract 11y from both sides )
4y² - 11y + 6 = 0
Consider the factors of the product of the y² term and the constant term which sum to give the coefficient of the y- term
product = 4 × 6 = 24 and sum = - 11
The factors are - 8 and - 3
Use these factors to split the y- term
4y² - 8y - 3y + 6 = 0 ( factor first/second and third/fourth terms )
4y(y - 2) - 3(y - 2) = 0 ← factor out (y - 2) from each term
(y - 2)(4y - 3) = 0
Equate each factor to zero and solve for y
4y - 3 = 0 ⇒ 4y = 3 ⇒ y = [tex]\frac{3}{4}[/tex]
y - 2 = 0 ⇒ y = 2
Substitute these values into (2)
y = 2 : x = [tex]\frac{2}{2}[/tex] = 1 ⇒ (1, 2 )
y = [tex]\frac{3}{4}[/tex] : x = [tex]\frac{2}{\frac{3}{4} }[/tex] = 2 × [tex]\frac{4}{3}[/tex] = [tex]\frac{8}{3}[/tex] ⇒ ( [tex]\frac{8}{3}[/tex], [tex]\frac{3}{4}[/tex] )
Lizzy makes $1800 per month working in a nail Spa. And Jackie makes 1500 per month plus 20%
a
percent commission per service per costumer. How many nail services Jackie has to complete per
month in order to make as much as Lizzy does?
Based on the amount Lizzy makes per month, to reach that amount, Jackie would have to complete 75 nail services.
The difference between Lizzy's base salary and Jackie's is:
= 1,800 - 1,500
= $300
Assuming a nail service costs $20, the amount she makes per service is:
= 20% x 20
= $4
The number of nail services she needs to do is therefore:
= Difference in wages / Amount per service
= 300 / 4
= 75 nail services
In conclusion, Jackie needs to do 75 nail services.
Find out more at https://brainly.com/question/17700034.
Could someone help, please don't put any links!
Thanks!
Answer:
1. D (9/12)
2. B (1/4)
3. C (2^4x3x5)
Step-by-step explanation:
Hope this helps
Answer:
1) D 9/12
2) B 1/4
3) C 2^4 * 3 * 5
Step-by-step explanation:
1)
1/2 = 6/12
5/6 = 10/12
6/12 < 9/12 < 10/12, this is true.
2)
Although the visual representation doesn't give us exactly what the portion of each slice is, we can determine that the pizza is split into four equal slices. One of the slices is cut down even further, however, that doesn't change the fact that each of the other three pizza slices is 1/4. So the greatest pizza slice is equivalent to 1/4 of the pizza.
3)
Factor out 240:
240 = 120 x 2
120 = 60 x 2
60 = 30 x 2
30 = 15 x 2
15 = 5 x 3
2 x 2 x 2 x 2 x 3 x 5
Multiple the 2's together to get the following equation:
[tex]2^{4} * 3 * 5[/tex]
4x squared plus 20x minus 24 pls
The Answer will equal 4(x-1)(x-6)
Step by step explanation= 4x^2+20x-24, 16x+20x-24, 36x-24= 12x
Answer:
4(x-1) (x-6) as an evaluation OR 12x as the answer since you didn't include what it equals.
Step-by-step explanation:
4x^2+20x-24
16x+20x-24
36x-24
12x
June has 30 days. A family of 3 used 3,960 gallons of water during the month of June. How many gallons of water did each person use each day.
Answer:
44 gallons
Step-by-step explanation:
3960/3=1320
Each person used 1320 in one month
1320/30=44
Amount of person used / 30 days = gallons used each day
Brian drove 638 miles in 11 hours.
At the same rate, how long would it take him to drive 754 miles?
Answer: 638 x= 754*11
638 x= 8294 then divide by both sides by 638
x = 13
she will drive 754 miles in 13 hrs.
Step-by-step explanation:
brainliest me
NEED HELP NOW thanks
Answer:
13 uvugugugugycycycycycycy
Step-by-step explanation:
cycle yvy
Step-by-step explanation:
it's somehow confusing because there's no coordinates for line k
Determine the number of solutions you will have for the system: 1/3x+y=2 and 3y=6-x
One solution.
No solutions.
Infinite solutions.
Impossible to determine.
Answer:
infinity solution
solution:
-x-3y=-6
x+3y=6
what is the verbal expression for 6f^2+5f
Answer:
f = 5/6 = 0.833 or f = 0
Step-by-step explanation:
Below are 2 similar triangles
The area of triangle A is 20cm^2 work out the area of triangle B
An unopened cereal box contains 15/28 cubic foot of cereal. If the box is full, and the length and height of the box are 5/7 foot and 1 1/2 feet, respectively, what is the width of the box?
Answer: the answer is 1/2
Step-by-step explanation:
Brent has 4.42 in pennies and dimes. If he has 163 coins in all, find the number of pennies and dimes
9514 1404 393
Answer:
132 pennies31 dimesStep-by-step explanation:
If all of Brent's coins were pennies, their value would be 1.63. The value is actually 4.42 -1.63 = 2.79 more than that. Replacing a penny by a dime increases the value by .09. Hence there must be 2.79/.09 = 31 replacements.
Brent has 31 dimes and 132 pennies.
_____
Solution using an equation
You can write an equation that solve the problem in basically the same way. Let the variable represent the number of coins of highest value: d = dimes. Then the value (in cents) of the collection is ...
1(163-d) +10d = 442
9d +163 = 442 . . . . . . . . . . simplify (note 9 is the difference in value; 163 is the value of all pennies)
9d = 442 -163 = 279 . . . . . . subtract 163
d = 279/9 = 31 . . . . . . . . . . divide by 9
Brent has 31 dimes and 163-31 = 132 pennies.
Answer:
Step-by-step explanation:
help please!! I don't get it :(
Answer:
90 degree
Step-by-step explanation:
Everyday Jayden saves a half of his lunch money. By Friday he has $ 600. How much money does he get daily for lunch?
The amount he gets for lunch is an illustration of mean and averages.
He gets for lunch is $240 daily
Represent the amount he gets for lunch each day be x.
So, the amount saved each day is x/2
From Monday to Friday, the total savings would be 5x/2
So, we have:
[tex]\mathbf{\frac{5x}{2} = \$600}[/tex]
Multiply both sides by 2
[tex]\mathbf{5x = \$1200}[/tex]
Divide both sides by 5
[tex]\mathbf{x = \$240}[/tex]
Hence, the amount he gets for lunch is $240 daily
Read more about mean and averages at:
https://brainly.com/question/16217700
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−
6
. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Jesse played two days of golf. On the second day, he got a score of 6 below par, or
−6. His total score for the two days was 0 above par, or 0. Define a variable. Then write and solve an equation to find the score Jesse got on the first day. Show your work.
Step-by-step explanation:
1.A
2.A
3.A
4.C
5.A
6.A
7.C
8.D
9.A
10.C
11.C
12.C
13.D
14.B
15.B
16.A
17.C
18.A
19.B
20.C
21.B
22.D
23-27 Write in
what is the solution of this equation?
2y=24
[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\textsf{2y = 24}}\\\\\large\text{DIVIDE 2 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{2y}{2}=\dfrac{24}{2}}}\\\\\large\text{CANCEL out: }\rm{\dfrac{2}{2}}\large\text{ because it gives you 1}\\\large\text{KEEP: }\rm{\dfrac{24}{2}}\large\text{ because it gives you the answer of the y-value.}\\\\\large\boxed{\mathsf{12= \dfrac{24}{2}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{y = 12}}\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{a = 12}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]John's father spent 2 hours and 55 minutes working on his truck if it was 4:55 when he stopped what time did he start
Answer:
2
Step-by-step explanation:
4-2=2
55-55=0
so:
2:00
what is the slope of (10,8) and (1,9)
Answer:
1/-9 or -0.111(repeating)
Step-by-step explanation:
Answer:
(1,9)
Over to the right one. then up nine of a graph