Answers
9514 1404 393
Explanation:
Put the given value of x into the expression and evaluate it.
x, 10(x +6), y = 10x +60
2, 10(2 +6), y = 10(8) = 80
4, 10(4 +6), y = 10(10) = 100
6, 10(6 +6), y = 10(12) = 120
8, 10(8 +6), y = 10(14) = 140
Related Questions
For questions 3 - 6, find F'(x), the inverse of F(x).
3. F(x) = x-10
4. F (x) = x/6 + 3
5. F(x) = 3x + 7
6. F(x) = 8x
Answers
Answer:
3) f'(x) = x + 10
4) f'(x) = 6x - 18
5) [tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex] or [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex]
6) f'(x) = ⅛x or [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex]
Step-by-step explanation:
3. f(x) = x - 10Step 1: In order to find the inverse function of f(x) = x - 10, start by replacing f(x) with y.
y = x - 10
Step 2: Switch x and y:
x = y - 10
Step 3: Add 10 to both sides to isolate y:
x + 10 = y - 10 + 10
x + 10 = y
Step 4: Replace y with f'(x):
f'(x) = x + 10 ⇒ This is the inverse function of f(x).
4. [tex]\displaystyle\mathsf{f(x)=\:\frac{x}{6}\:+\:3}[/tex]Replace f(x) with y:
[tex]\displaystyle\mathsf{y=\:\frac{x}{6}\:+\:3}[/tex]Switch x and y:
[tex]\displaystyle\mathsf{x=\:\frac{y}{6}\:+\:3}[/tex]Subtract 3 from both sides:
[tex]\displaystyle\mathsf{x-3=\:\frac{y}{6}\:+\:3-3}[/tex][tex]\displaystyle\mathsf{x-3=\:\frac{y}{6}}[/tex]Multiply both sides by 6 to isolate y:
[tex]\displaystyle\mathsf{6(x-3)=\:\frac{y}{6}(6)}[/tex]6x - 18 = y
Replace y with f'(x):
f'(x) = 6x - 18 ⇒ This is the inverse function of f(x).
5. f(x) = 3x + 7Replace f(x) with y:
y = 3x + 7
Switch x and y:
x = 3y + 7
Subtract 7 from both sides:
x - 7 = 3y + 7 - 7
x - 7 = 3y
Multiply both sides by ⅓:
⅓(x - 7) = 3y (⅓)
[tex]\displaystyle\mathsf{\frac{1}{3}x-\frac{7}{3}=y}[/tex]
Replace y with f'(x):
[tex]\displaystyle\mathsf{f'(x)=\frac{1}{3}x-\frac{7}{3}}[/tex] or [tex]\displaystyle\mathsf{f'(x)=\frac{x - 7}{3}}[/tex] ⇒ This is the inverse function of f(x).
6. f(x) = 8x
Replace f(x) with y:
y = 8x
Switch x and y:
x = 8y
Multiply both sides by ⅛:
⅛(x) = ⅛(8y)
⅛x = y or [tex]\displaystyle\mathsf{\frac{x}{8}=y}[/tex]
Replace y with f'(x):
f'(x) = ⅛x or [tex]\displaystyle\mathsf{f'(x)=\frac{x}{8}}[/tex] ⇒ This is the inverse function of f(x).
3. Mr. Morris orders a bottle of lotion that contains (15)liters. He use 2/6 of a liter of
lotion a day. How many days can he use the bottle of lotion until it is empty?
Pls help and show me how to do it
Answers
Answer:
45
Step-by-step explanation:
If he uses 2/6 of a liter thats 3 days for 1 liter.
3 x 15 is 45. so 45 days
The new Apple Watch series 7 cost $799. There is an additional 7% sales tax rate . If Oscar has a total of 850.00 to spend, will he be able to purchase the new Apple Watch Series 7? Explain.
Answers
The total available cash with Oscar will not be able to purchase the new Apple Watch Series 7 because the total cost of the watch is greater than available cash.
The given parameters;
cost of new Apple Watch Series 7, = $799sales tax, = 7%Oscars available cash = $850The total cost of the new Apple Watch Series 7 is calculated as follows;
Total cost = 0.07(799) + 799
Total cost = $854.93
Thus, we can conclude that the total available cash with Oscar will not be able to purchase the new Apple Watch Series 7 because the total cost of the watch is greater than available cash.
Learn more here:https://brainly.com/question/20990309
Kyle has two snakes fluffy is 2 meters long muffy is 900 millimeters long compare their lengths to fill in the blanks
_____ is the longest snake.
_____ is ______
millimeters longer than ____
PLSS HELP!!
Answers
Fluffy is longer than Muffy
Step-by-step explanation:
There are 1000 millimeters in a meter
Fluffy = 2000 millimeters
Muffy = 900 millimeters
Fluffy is longer than Muffy
2000 > 900
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me
as brainliest!
Simplify.
81‾‾‾√
18
9
−3
−18
Answers
9514 1404 393
Answer:
(b) 9
Step-by-step explanation:
Maybe you want to simplify ...
[tex]\sqrt{81}=\sqrt{9^2} =\boxed{9}[/tex]
Number 13
I’ll reward you brainiest!!
Answers
(x+5)(x-5) factoring
Answers
Answer: x² - 25
Step-by-step explanation:
The answer will be x^2-25+5x-5x
So that factorised is x squared -25
Senna was having a party for 15 friends. She bought 3 jars of
pickles for $4.50. What is the cost per jar?
Answers
Answer:
it is 1.5
Step-by-step explanation:
if u do 4.50÷3 you will get 1.5 so the cost per jar is 1.5
(27×3^-2)(8×2^-3)
(27×3^-2)(8×2^-3)
(27×3^-2)(8×2^-3)
(27×3^-2)(8×2^-3)
Answers
Answer:
(27×3^-2)(8×2^-3) = 3
Step-by-step explanation:
(27×3^-2)(8×2^-3) = 3 or 3/1
First, we do PEMDAS (Please Excuse My Dear Aunt Sally)
↳ (27×3^-2)
↳ 27×1/9=3
Second, do the other one in parentheses because of PEMDAS
↳ (8×2^-3)
↳ 8×1/8=1
—————
Please remember to revise this and make it in your own words if you want! I hope this helps you. -Doodle
—————
HURRY!! (No links please and please include an explanation)
If A is the set of all whole numbers, choose the set B that will make the following
statement false.
B ⊆ A
B = {0, 2, 4, 6)
B = {0}
B = {-1, 0, 1)
B = {1, 2, 3, 4)
Answers
Answer:
B= (-1,0,1)
Step-by-step explanation:
because -1 is not a whole number.
Answer:
B = {-1, 0, 1)
Step-by-step explanation:
The answer is B = {-1, 0, 1) because -1 is not a whole number.
Hope this helps :)
C is wrong help me please
Answers
Answer:
A
Step-by-step explanation:
x from 0 < x < 2 is wrong because < means goes to but does not equal that value, and [tex]\leq[/tex] means it INCLUDES that value. Because the function includes it (not an open hole), you should choose A.
PLEASE HELP WITH THIS QUESTION
Answers
Answer:
Heigh <= 63
Width <= 56
Length <= 61
Step-by-step explanation:
Height: x+7
Width: x
Length: x + 5
(x + 7) + (x) + (x + 5) <= 180 cm^3
3x + 12<= 180
3x <= 180-12
x <= 168/3
x <= 56
What is the value of point P?
Answers
Answer:
-8
Step-by-step explanation:
Because it moved 2 to the right.
Answer:
-8
Hope this helps :)
what is mixed number
help me pleas
Answers
Answer:
A mixed number is a number with both a whole number and a fraction. For example 6 3/4, 2 1/2, 7 8/15. Hope this helped:)
Answer:
A mixed number is a number consisting of a whole number and a proper fraction.
Below are examples of mixed numbers:
[tex]4 \frac{1}{2}[/tex]
[tex]1 \frac{3}{5} [/tex]
what is 5/8 divided 6
Answers
[tex]\sf \longmapsto \frac{5}{8} \div6[/tex]
[tex]\sf \longmapsto \frac{5}{8} \times \frac{1}{6} [/tex]
[tex]\sf \longmapsto \frac{5 \times 1}{8 \times 6} [/tex]
[tex]\sf \longmapsto \frac{5}{48} [/tex]
Answer In DECIMAL:
[tex]\sf \longmapsto0.1041[/tex]
Heeeeelllllllppppppp
Answers
1.
[tex]y=\frac{5}{3} x-2[/tex]
2.
[tex]y=-2x+2[/tex]
3.
[tex]y=x+5[/tex]
4.
[tex]y=\frac{1}{4}x[/tex]
Which of the following is not one of Garner’s Theory of Multiple Intelligences?
Question 4 options:
Linguistic intelligence
Interpersonal intelligence
Muscular intelligence
Answers
Answer:
I would say muscular
Step-by-step explanation:
none of these are really wrong, but muscular intelligence should be bodily intelligence
The equilateral triangle with side 12 has altitude
Answers
rewrite in slope intercept
a(bx + y) = c
Answers
Find the lines of symmetry. Select all that apply. Thank you!
Answers
Lines r & t are the lines of symmetry here.
◇ The line r cuts the figure vertically into 2 equal halves.
◇ The line t cuts the figure horizontally into 2 equal halves.
◇ The lines q & s don't cut the figure symmetrically (2 unequal parts are formed), so they are not the lines of symmetry.
See the attachments too.
______
Hope it helps ⚜
7/8 * 1/2 =7/16 yes but wouldn't you have to divide it though like divide 16 / 7 = 3 3/7???
Answers
1/2 is a simplified version of 4/8.
So then putting it back into the original equation:
7/8 * 4/8 = 7/16 or 0.4375
The final answer would be 7/16 because there isn’t another way to simplify that.
I hope that makes sense, let me know if you have any questions.
Answer:
No.
Step-by-step explanation:
I think you're talking about simplifying/reducing the fraction.
You would not do that in this case because the numbers 7 and 16 have no common factors besides 1.
The answer is already in its lowest/reduced form. You do not divide.
Please let me know if this was not what you were talking about!
If the equation of the line is f(x) = 1/3x - 5 , what would be the new equation if there was a reflection over the y- axis, a dilation of -6, and a translation of 4 units up?
pls help I already solved but I'm not sure if I did a step out of order
Answers
Answer: Thus, after the transformation, the graph consists of points (x,y) satisfying y=2(x−3)2. This is the equation of the transformed graph.
Step-by-step explanation:
Consider the graph y=x2. Suppose the graph is dilated from the x-axis by a factor of 2, and then translated 3 units to the right. What is the equation of the resulting graph?
Solution
The transformation given is Trans(3,0)∘Dilx-axis,2. Denote by (x′,y′) the image of a point (x,y) under this transformation. A point (x,y) is sent to (x,2y) by the dilation, and then to (x+3,2y) by the translation, so (x′,y′)=(x+3,2y).
The original graph consists of points (x,y) such that y=x2. Then it is transformed so that (x,y)↦(x′,y′)=(x+3,2y). We must find what equation is satisfied by x′ and y′.
Since x′=x+3 and y′=2y, we have x=x′−3 and y=y′/2. Thus y=x2 implies
y′2=(x′−3)2or equivalentlyy′=2(x′−3)2.
What is a circle define and illustrate The following in figures
Answers
Answer:
Circle is a closed geometric figure having an infinite number of sides.
Step-by-step explanation:
A circle ⭕ has infinite number of sides want to know how then try and experiment.
First draw a pentagon of five sides, then a hexagon of six sides and keep on increasing the number of sides and then you will notice the shape being close of a circle.
help me answer this 100 POINTS!!!!!
Answers
Answer:
1 C
2 A
Step-by-step explanation:
1 C No it cannot be defined because A and B are not congruent
2 A Yes, the lines will remain parallel
PS. It's only 50 points because two answers are allowed. Each answerer gets half.
167.67 divided by 8.1
Answers
Answer:
167.67 divided by 8.1 = 20.7
Which distance formula or formulas show(s) a joint variation?
Answers
Answer:
II and III only
Step-by-step explanation:
One variable quantity is said to vary jointly as a number of other variable quantities, when it varies directly as their product.
What is 0.14 as a fraction
Answers
Answer:
7/50
Step-by-step explanation:
Here is an easy way of converting a decimal number to fraction.
Step 1:
Write it down as 0.14/1
Step 2:
Multiply bottom and top by 10 for every number after the decimal, since there is 2 numbers after the decimal you do 10*10 = 100
[tex]\frac{0.14(100)}{1(100)}[/tex] = 14/100
Step 3:
You can simplify 14/100 to 7/50 and thats why 7/50 is the answer
Answer:
[tex]\frac{14}{100}[/tex] or [tex]\frac{7}{50}[/tex]
Step-by-step explanation:
To find 0.14 we have to see what place it's in, since it was in the hundredths place, we put 14 over 100, which is 14/100.
To simplify this fraction we have to find the GCM (Greatest Common Factor), the GCM of 14 and 100 is 2. Then we divide both the bottom and the top by 2 (whatever you do to the bottom, you do to the top), which gives us 7/50.
To conclude, 0.14 as a fraction is 14/100 or 7/50.
At the store the ratio of books sold to movies sold was 4:5.For every_books sold there were _ movies sold.
Answers
Answer:
At the store the ratio of books sold to movies sold was 4:5.For every 4 books sold there were 5 movies sold.
Step-by-step explanation:
Does each function describe exponential growth or decay?
Drag and drop the equations into the boxes to correctly complete the table.
Growth
Decay
y = 250(1 + 0.004)^t
y = 426(0.98)^t
y = 12,000(1/2) ^t
Answers
9514 1404 393
Answer:
growthdecaydecayStep-by-step explanation:
An exponential function will describe growth if the base of the (positive) exponent is greater than 1. It will describe decay of the base is less than 1.
y = 250(1 + 0.004)^t . . . . . 1.004 > 1 ⇒ growth
y = 426(0.98)^t . . . . . . . . . 0.98 < 1 ⇒ decay
y = 12,000(1/2) ^t . . . . . . . 1/2 < 1 ⇒ decay
all graphs range from -10 through 10 ;)
Answers
Answer:B
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
First, we want to find out what is X.3x = -6 ---> x = -2
X is -2 so we want the graph point to start at -2 and from there go down to -10.