Answer:
Equation 1 is:
Step-by-step explanation:
What is the inverse of the function g(x) = x^3/8 + 16 ?
Answer:
[tex] \hookrightarrow \: { \rm{f(x) = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]
• let f(x) be m:
[tex]{ \rm{m = \frac{ {x}^{3} }{8} + 16}} \\ [/tex]
• make x the subject of the function:
[tex]{ \rm{8m = {x}^{3} + 128}} \\ \\ { \rm{ {x}^{3} = 8m - 128 }} \\ \\ { \rm{ {x}^{3} = 8(m - 16) }} \\ \\ { \rm{x = \sqrt[3]{8} \times \sqrt[3]{(m - 16)} }} \\ \\ { \rm{x = 2 \sqrt[3]{(m - 16)} }}[/tex]
• therefore:
[tex]{ \boxed{ \rm{ {f}^{ - 1} (x) = 2 {(m - 16)}^{ \frac{1}{3} } }} }\\ [/tex]
Can someone help me with Question 1 Please? I forgot how to do it- Also, No links please!
Answer:
[tex]\frac{5}{6}[/tex]
Step-by-step explanation:
Hi there!
We are given the following expression:
[tex]\frac{1}{6}[/tex] ÷[tex]\frac{1}{5}[/tex]
And we would like to solve it
Whenever we are dividing fractions, we are actually multiplying the first fraction (in this case, 1/6) by the reciprocal of the second fraction (in this case, 1/5), which is the "flipped" version of that fraction; the value that is in the numerator becomes the value in the denominator, and the value in the denominator becomes the value in the numerator.
So the reciprocal of 1/5 is 5/1, or 5/1
So we will multiply 1/6 by 5
[tex]\frac{1}{6} * 5 = \frac{5}{6}[/tex]
The fraction is in the simplest form; 5/6 is the answer.
Hope this helps!
Kala is going to rent a truck for one day. There are two companies she can choose from, and they have the following prices.
Company A charges $ 79 and allows unlimited mileage.
Company B has an initial fee of $65 and charges an additional $0.70 for every mile driven.
For what mileages will Company A charge less than Company B?
Use m for the number of miles driven, and solve your inequality for m.
Answer: 21 miles
Step-by-step explanation:
or
Joey bought 3 packs of white T-shirts and 5 packs of blue T-shirts for his basketball team. The white T-shirts come in packs of 9, and the blue T-shirts come in packs of 7. How many T-shirts did Joey buy in all?
3/5x+1/4=-1/2 standard form
Answer:
Hello there your answer is 12 x + 5 y = − 10!
Estimate the sum or difference
4/5 + 18/20 (1 point)
1. 1
2. 1 1/2
3. 2
Answer:
[tex]2) \: \: \frac{11}{2} [/tex]
Step-by-step explanation:
[tex] \frac{4}{5} + \frac{18}{20} \\ \\ \frac{4}{5 \times 4} + \frac{18}{20} \\ \\ \frac{4}{20} + \frac{18}{20} \\ \\ \frac{4 + 18}{20} \\ \\ \frac{22}{20} \\ \\ \frac{11}{2} [/tex]
Right triangle CDE has its right angle at vertex
D. The length of DE is 8 feet and the length of
CE is 17 feet. What is the length, in feet, of CD?
A) 11
B) 12
C) 14
D) 15
The length of the side CD which is the base of the right triangle CDE is 15 feet which is option D.
We have,
We can use the Pythagorean theorem to solve for the length of the height CD in the right triangle CDE.
Where CE is the hypotenuse and De is the base.
The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse (the side opposite the right angle) is equal to the sum of the squares of the other two sides.
In this case, we have:
CD² + DE² = CE²
Plugging in the given lengths:
CD² + 8² = 17²
CD² + 64 = 289
CD² = 289 - 64
CD² = 225
CD = √225
CD = √15²
CD = 15
Thus,
The length of the side CD which is the base of the right triangle CDE is D. 15 feet.
Learn more about the Pythagorean theorem here:
https://brainly.com/question/14930619
#SPJ3
Hey ! Can anyone help me with this problem please thank you !!
Answer:
2
Step-by-step explanation:
7x + 3 = 8x + 1
2 = x
these are geometry problems.
What is the vertical change from Point A to Point B?
What is the horizontal change from Point A to Point B?
What is the rate of change shown on the graph? Give
the answer as a decimal rounded to the nearest tenth, if
necessary
Answer:
The vertical change is 1
The horizontal change is =2
The rate of change .5
Step-by-step explanation:
Point A is at (2,1)
Point B is at (4,2)
The vertical( up and down) change is (2-1) = 1
The horizontal ( left and right) change is (4-2) =2
The rate of change is vertical over horizontal (1/2) = .5
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
1. Vertical change :
[tex]2 - 1[/tex][tex]1[/tex]2. Horizontal change :
[tex]4 - 2[/tex][tex]2[/tex]3. Rate of change :
[tex] \dfrac{y_2 - y_1}{x_2 - x_1} [/tex][tex] \dfrac{2 - 1}{4 - 2} [/tex][tex] \dfrac{1}{2} [/tex][tex]0.5[/tex](-5.4, 4.7) and (0.6, 4.7) find the unit
Answer: 6 units
Step-by-step explanation:
|-5.4| + |0.6|
5.4 + 0.6 = 6 units
Someone make a question for me so I can get brainliest I need 3 more ;-;
Answer:
Why does the surface of mercury appear in a convex shape
Check all solutions to the equation. If there are no solutions, check "None."
W = 4
Someone help!!
Answer:
A) 2
Step-by-step explanation:
The square root of 4 is 2 because 2 x 2 = 4.
The equation says x = 4, and what your trying to solve is the square root of that, not the root. The root to 4 would be 16 if it was reversed.
-kiniwih426
What is 33.61111111 in fraction form
The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .
____________________
Step-by-step explanation:
Based on the assumption that the "1" repeats infinitely; in the given value:
" 33.61111111 ...." ;
_______
Note that the "611" ; after the decimal point; this goes to the "thousandths";
place (is "3 (three) digits long.").
_______
As such; we rewrite the number as:
_______
" [tex]\frac{33.611}{1}[/tex] " ;
and we multiply BOTH the "numerator" And the "denominator" by: "1000" :
_______
→ " [tex]\frac{(33.611)*(1000)}{(1)*(1000)}[/tex] " ;
to get:
→ " [tex]\frac{33611}{1000}[/tex] " ; → which cannot be reduced any further.
_______
The correct answer is: " [tex]\frac{33,611}{1,000}[/tex] " .
_______
Hope this is helpful to you!
Wishing you the best!
_______
What is -5 - 9 - 13 equal to?
Answer: -27
Step-by-step explanation: subtract -5 and - 9 to get -14, then subtract -13 and -14 to get -27
help me please i need this
Answer:
D. 7×10-⁷
Step-by-step explanation:
Hope this helps!!!
Find the LCM for 5,9
Answer:
45 :)
Step-by-step explanation:
Find the average rate of change of this function:
Answer:
A slope of the line over the interval of [-6, -1] is ⅕ as illustrated in the graph above
Algebra 2 Need help with b
Answer:
a. was incorrect a = -0.109569028 so...
y = -0.109569028(x + 7)² + 54
b. It's been the above vertex equation for a parabola then
set y = 40 equal to the parabolic equation, we get
40 = -0.109569028x² - 1.533966392x + 48.631117628
solve for x we get
x = -18.3036867393939 or ~ 18.3 feet
Step-by-step explanation:
y = a(x - h)² + k
(h, k) = vertex = (-7, 54)
x = h is the axis of symmetry -7
y = a(x -(-7))² + 54
y = a(x + 7)² + 54
solve for a by inputting the point (15.2, 0)
0 = a(15.2 + 7)² + 54
-54 = a(22.2)²
-54 = 492.84a
a = -54/492.84
a = -0.109569028
is the product of 2 numbers always the LCM
Answer
I guess so.
To find the LCM you need to know the lowest digit as possible.
For example,
Question: What is the LCM of 8 and 6?
Answer: Table of 8: 8, 16, 24, 32, 40,48
Table of 6: 6, 12, 18, 24, 30, 36, 42, 48
Now look at the tables again and, did you see the LCM???......
If so your answer would be 24.
Step-by-step explanation:
divide 4x+2x^3+7x^2-1 by x=-1
Answer:
12
Step-by-step explanation:
4(1)+2(1)”3+7(1)”2-1
4+2+7-1
12
wait if x=-1 it’s zero
Dilate Triangle ABC so it's scale factor is 3 and the center of dilation is the origin.
A(1,1)
B(3,1)
C(2,3)
Step-by-step explanation:
Dilation :
the scale factor is 3 and the center of dilation is the origin.
A(1,1) => A'(3, 3)
B(3,1) => B'(9, 3)
C(2,3) => C'(6,9)
The transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.
What is a transformation?On the coordinate plane, you may dilate figures. The origin is frequently utilized as the center of dilatation. If you are distorting a figure centered at the origin, you may find the points in the image by multiplying the coordinates of the points in the preimage by the scale factor.
As per the given question,
We have the scale factor i.e. 3 multiplying the coordinates of the points (x, y) for the center of dilation is the origin.
A(1,1) → A'(3, 3)
B(3,1)→ B'(9, 3)
C(2,3) → C'(6,9)
Thus, the transformations A(1,1) → A'(3, 3), B(3,1)→ B'(9, 3), and C(2,3) → C'(6,9) represents a dilation centered at the origin.
To learn more about the transformations click here :
https://brainly.com/question/28029674
#SPJ2
Point E is 5 units to the right of point A, point D is 4 units down and 1 unit to the right of point E, point C is 2 units down and 1 unit to the left of point D, point B is 5 units to the left of point C, and point A is 6 units above point B. A point has been translated left and down. Based on the graph, which could be true? Check all that apply. A is the image of C. A is the image of D. B is the image of D. B is the image of E C is the image of A. C is the image of D. D is the image of E.
Answer:
There are three answers
Step-by-step explanation:
B is the image of D
B is the image of E
C is the image of D
Answer:
B is the image of D
B is the image of E
C is the image of D
Step-by-step explanation:
Rajan had Rs. 6000 in his bank account on a particular day. A week later he deposited Rs.
1500 and next day, he had to withdraw ଵ
ଷ
rd of his total balance. Find his balance amount in
the bank after withdrawal.
step by step plzzz
Answer:
Step-by-step explanation:
Deposited 60000(debit)
cash 60000(credit)
Deposited 1500(debit)
cash 1500(credit)
debit 61500 credit 61500
3. A cookie recipe called for 3 1/2 cups of sugar for every 2 1/6 cups of flour.
a. What is the unit rate of cups of
sugar to cups of flour?
b. How many cups of sugar would
you need if you used 6 cups of
flour?
3.5 to 2.167
2.80
Step-by-step explanation:
The following figures are similar. Solve for x.
Answer:
i need a picture
Step-by-step explanation:
What is 9/14 minus 6/14 ?
Answer:
I think that the answer is 3/14
Step-by-step explanation:
9/14 - 6/14 = 3/14
Answer:
here
9/14 - 6/14
=(9-6)/14
=3/14
451 mi/ 7.3 hr. Round to the appropriate number of significant digits.
Answer:
5
Step-by-step explanation:
i need help plz..................................
28=2x+6 can you please help
Answer:
Please look at the picture i have sent
How many seconds did eatons baby sister sleep all together
the answer I do not know because I can not see the picture or word problem
Answer:
if said babysitter is watching my babies there better be zero seconds of sleeping so 0