Answer:
if the two graphs are symmetric with respect to the line y = x (mirror images over y = x ), then they are inverse functions.
Step-by-step explanation:
The value of variable x is,
⇒ x = - 3/2
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Two functions are;
⇒ f(x) = (2x+5)/8 and g(x) = 3x - 4.
Here, The inverse of (fog)(x) is an identity function,
Hence, We get;
⇒ (f o g) (x) = f (g (x))
= f (3x- 4)
= [ 2 (3x - 4) + 5 ] / 8
= (6x - 8 + 5) / 8
= (6x - 3) / 8
Thus, The inverse of (fog)(x) is,
⇒ (f o g) (x) = (6x - 3) / 8
⇒ y = (6x - 3) / 8
Solve for x;
⇒ 8y = 6x - 3
⇒ 8y + 3 = 6x
⇒ x = (8y + 3) / 6
⇒ (f o g)⁻¹ (x) = (8x + 3) / 6
Here, The inverse of (fog)(x) is an identity function, \
Hence, We get;
⇒ (f o g)⁻¹ (x) = x
⇒ (8x + 3) / 6 = x
⇒ 8x + 3 = 6x
⇒ 8x - 6x = - 3
⇒ 2x = -3
⇒ x = - 3/2
Learn more about the function visit:
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Estimate by rounding each term to 0, 1/2, or 1.
7/12 - 4/7
For his science fair project, Ernesto is investigating the water quality in his school's water fountains. He finds that the water is safe to drink; a 50-milliliter water sample has just 13 milligrams of dissolved solids. If Ernesto fills a 2-liter bottle from one of the water fountains at his school, how many grams of dissolved solids would his bottle have?
Answer:
0.52grams of dissolved solids.
Step-by-step explanation:
; a 50-milliliter water sample has just 13 milligrams of dissolved solids. If Ernesto fills a 2-liter bottle from one of the water fountains at his school, how many grams of dissolved solids would his bottle have
50ml = 13mg of dissolved solids
1 litre = 1000 millilitres
2 liter = 2 × 1000 = 2000millilitres
50ml = 13mg
2000ml =
Cross Multiply
2000ml × 13m/50ml
= 520mg of dissolved solids.
We are to convert our final answer to grams
= 1 milligram = 0.001 gram
520 milligram =
520 mg × 0.001g/1 mg
= 0.52 grams of dissolved solids
Determine what the constant, coefficient, and variable are in the expression 9x + 4
Answer:
constant-4
variable-x
coefficient-9
Step-by-step explanation:
Coefficient- the number being multiplied by a variable
Variable- the unknown, usually 'x'
Constant- the number that is all by itself.
AnEgg is bought at 550 and sold at a percentage of loss of 22%. Calculate the Selling Price
Hey there!
=> [tex]550 \times \frac{22}{100} [/tex]
=> [tex] \frac{550}{1} \times \frac{22}{100} [/tex]
cancel the zeros of 100 and 550
=> [tex] \frac{55}{1} \times \frac{22}{10} [/tex]
=> [tex] \frac{1,210}{10} [/tex]
=> 121 ( Substract 121 from 550)
=> 429
Therefore, Selling price is 429
find x
PLEASE HELP QUICKLY
Answer:
[tex]\boxed{\tt B)\:x=9}[/tex]
Step-by-step explanation:
[tex]\tt 8(8+x+3)=10(10+x-3)[/tex]
[tex]\tt 8(x+11)=10(x+7)[/tex]
[tex]\tt 8x+11=10x+70[/tex]
[tex]\tt 10x-8x=88-70[/tex]
[tex]\tt \cfrac{2x}{2} =\cfrac{18}{2}[/tex]
[tex]\boxed{\tt x=9}[/tex]
~
Solve the following system of equations using substitution, show all steps. 2x-4y=20 / x= 4
Answer:
(4, -3)
Step-by-step explanation:
Since we know that X = 4, when can set X = 4 in the other equation in order to solve for Y
2x - 4y = 20
2(4) - 4y = 20
8 - 4y = 20
-8 -8
-4y = 12
-4y/-4 = 12/-4
y = -3
Since we already know X = 4, the intersection point or solution to the System is (4, -3)
Hope this helps!
Solve the system of equations by multiplying. Check the answer by graphing the system of equations.
{
- 4x + 3y = 15
2x +y = -5
The solution is _______?
- 4x + 3y = 15
2x + y = -5
I multiply x 3 the second equality
we will get
- 4x + 3y = 15
6x + 3y = - 15
difference of the 2 equalities
- 4x - 6x + 3y - 3y = 15 - (-15)
- 10x = 30
x = -3
so - 4*(-3) + 3y = 15
3y = 3
y = 1
check
- 4 * (-3) + 3 * 1 = 12 + 3 = 15
Triangles RST and XYZ are shown at right. Emma knows
ZTELZ. She claims that triangles RST and XYZ are congruent. As part of her
reasoning, which theorem could she use? Select two that apply.
Answer:
Step-by-step explanation:
Given :-
TR = ZXSR = YXTo Prove :-
ΔRST ≅ ΔXYZSolving :-
TR = ZX (Given)SR = YX (Given)∠R = ∠X (Angle that lies between equal sides of respective parts of the triangle)ΔRST ≅ ΔXYZ (1,2,3, SAS congruence)What is 70.5 rounded to the nearest whole number?
Answer:
71
Step-by-step explanation:
If a decimal needs to be rounded to a whole number, you need to refer to the tenths place in the decimal. In this case, that is "5" and in math, when rounding, if it is 5 or more, you round up to the next whole number. If it is 4 or less, you round down. So 70.5 rounded to the nearest whole number is 71. :)
I need help asap please
Answer:2.25
Step-by-step explanation:
you would move the variables to one side
-9= -6p+5p-3p
Then combine
-9= -4p
Then divide both sides by -4 which equals
2.25=p
Answer:
HKSHKSBSKSBZKSJSJSJKSSKJSSJJZJSKSBSKSKS B)
what is the sum of the degrees of the exterior angles of a convex pentagon
Answer:
The sum of the measures of the exterior angles of a convex polygon is 360 degrees.
Step-by-step explanation:
3(y-6)=42 what is the answer
Answer:
y=20
Step-by-step explanation:
expand bracket
3y-18=42 add 18
3y=60 divide by 3
y=20
5) A cellphone company charges a monthly fee of $34.00, plus $0.05 per text message. If you have at most $52 to spend, how many text messages can you send?
Answer:
At most you can send 360 text messages while spending at most $52.
Step-by-step explanation:
Let x = money per text message
34.00 + 0.05x ≤ 52
-34.00 -34.00
[tex]\frac{ 0.05x}{ 0.05}[/tex] ≤ [tex]\frac{18}{0.05}[/tex] = 360
So, at most you can send 360 text messages while spending at most $52.
Answer:
360
Step-by-step explanation:
Give brainliest
need answer plz answer I NEEED ANSWER
Answer:
I believe Han's tastes stronger.
Step-by-step explanation:
His is less of a water fraction and more orange juice fraction.
Answer:
Han
Step-by-step explanation:
The answer is Han because she adds less water and water makes things less strong.
The linear function y=2x+28 models the average cost of a haircut in a certain city, where y, is the average price of a haircut x years after 2000. Find the slope for the model. Then describe what this means in terms of the unit rate of change in the average cost of a haircut over time.
Answer:
The slope of the model is [tex]m = 2\,\frac{USD}{yr}[/tex].
The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.
Step-by-step explanation:
We have to notice that given function is a linear function, that is, a first order polynomial, whose standard form is described below:
[tex]y =m\cdot x + b[/tex]
Where:
[tex]m[/tex] - Slope, dimensionless.
[tex]x[/tex] - Independent variable, dimensionless.
[tex]y[/tex] - Dependent variable, dimensionless.
[tex]b[/tex] - y-Intercept, dimensionless.
In this case, we use the linear function [tex]y = 2\cdot x + 28[/tex], where [tex]x[/tex] is the time after 2000, measured in years, and [tex]y[/tex] is the average cost of a hair cut. The slope of the model is [tex]m = 2\,\frac{USD}{yr}[/tex].
The value of the slope indicates that the average cost of a hair cut is increased by 2 US dollars each year.
what is 22.8333333333 as a fraction?
Answer:
22 83/100
Step-by-step explanation:
22 is a whole number, while .8333 is continues you have to round it to .83. .83 is in the hundredths place so it would be 83/110. So in the end you'll have 22 83/100
Answer: I’m assuming this is supposed to repeat because that’s ridiculous if it isn’t. The answer is 22 5/6
Perform the operation
(3x^2-10x+4)+(10x^2-5x+8)
Answer: 13x^2 - 15x + 12
Step-by-step explanation:
[tex]\left(3x^2-10x+4\right)+\left(10x^2-5x+8\right)[/tex]
[tex]=3x^2-10x+4+10x^2-5x+8[/tex]
[tex]\mathrm{Group\:like\:terms}[/tex]
[tex]=3x^2+10x^2-10x-5x+4+8[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:4+8=12[/tex]
[tex]=3x^2+10x^2-10x-5x+12[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:3x^2+10x^2=13x^2[/tex]
[tex]=13x^2-10x-5x+12[/tex]
[tex]\mathrm{Add\:similar\:terms:}\:-10x-5x=-15x[/tex]
[tex]=13x^2-15x+12[/tex]
hello people ~
factorise: 21x²+43-14
Answer:
[tex]\displaystyle [7x - 2][3x + 7][/tex]
Step-by-step explanation:
Find two quantities that when differed to 43, they also multiply to 294. Those will be 6 and 49. The TINIER quantity gets the minus symbol because the B-value is 43, therefore 49 gets the plus symbol, leaving 6 with the minus symbol. In extension, sinse we have a leading coefficient greater than one, we need to take extra procedures. Here is how it is done:
[tex]\displaystyle 21x^2 + 43x - 14 \\ \\ [21x^2 - 6x] + [49x - 14] \\ 3x[7x - 2] + 7[7x - 2] \\ \\ \boxed{[7x - 2][3x + 7]}[/tex]
I am joyous to assist you at any time.
[tex]\\ \rm\rightarrowtail 21x^2+43x-14[/tex]
[tex]\\ \rm\rightarrowtail 21x^2+49x-6x-14[/tex]
[tex]\\ \rm\rightarrowtail 7x(3x+7)-2(3x+7)[/tex]
[tex]\\ \rm\rightarrowtail (7x-2)(3x+7)[/tex]
Done!
Identify the statement(s) that are both biconditional and false. Three points are not in the same plane if and only if exactly one line passes through them. Exactly one line passes through three points if the points are in an infinite number of planes. an infinite number of planes pass through the same three points if and only if the points are not on the same line. three points on the same line if and only if exactly one plane passes through them.
Answer:
Step-by-step explanation:
1) Three points are not in the same plane if and only if exactly one line passes through them.
It is biconditional and false because more than one plane can pass through three points
2)Exactly one line passes through three points if the points are in an infinite number of planes.
It is biconditional and true because three points on same line will be in more than one plane and if they are not in the same plane then connect them and it will form a triangle which is in only one plane
3). an infinite number of planes pass through the same three points if and only if the points are not on the same line.
It is biconditional and false because more than one plane passes through them So, infinite no. of planes passes through them
4). three points on the same line if and only if exactly one plane passes through them.
It is biconditional and false because more than one plane passes through them So, infinite no. of planes passes through them
At a wrestling event, ringside seating will consist of three rows being laid out. It is planned so each row will be two more seats than the one before it and 90 people must be seated in each section. How many people will be in the third row?
Answer:32
Step-by-step explanation:
Andy and Kristina are getting married soon and want a large cookie table at their wedding. If there are 225 guests attending their wedding and they want each guest to be able to have 5 cookies, how many dozen cookies do they need to order?
a).93 dozen
b).94 dozen
Answer:
b).94 dozen
Step-by-step explanation:
225*5=1125
1125/12/93.75
93.75 rounded = 94
What is the GCF of 81 and 72?
Answer:
9
Step-by-step explanation:
81= 1,3,9,27,81
72= 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36,72
9 is the most common so GCF will be 9.
Answer:
See below.
Step-by-step explanation:
81 - 1,3,9,27,81
72 - 1,2,3,4,6,8,9,12,18,24,36,72
The GCF is 9.
-hope it helps
here, what do we do if it says y=-x or y=x
You plot the points on the graph first with a pencil. Draw the given line, in this case, it's y=-x.
From a point, you do rise and run to the line and reverse it on the other side of the line to get the points.
Refer the attached diagram, for easy method.
Hope it helps :)
Sue solved an equation below. Check her work.
Answer:
You cant see the equation
Step-by-step explanation:
(5) P-4-7 set up & solve, rate
A gold dredge is a machine that was used in the early 1900s to extract gold from a river or pond. The amount of
dirt a gold dredge can dig in 1 minute is equal to the amount it would take 3 people, each digging at the same
rate, to dig in 1 day. At this rate, how many days would it take 2 persons to dig as much dirt as a gold dredge
can dig in 60 minutes ?
A) 30 B) 45 C) 60 D) 90
Show work please.
Answer:
D) 90 Days
Step-by-step explanation:
dredge 1 min = 3 people days
when I say people days, I mean 3 people working one day
multiply each side by 60 to get the desired 60 min of dredge:
dredge 60 min = 180 people days
As we currently have this set up, it will take 180 people, 1 day to do the same amount of work as 60 min of dredge, but we only want 2 people. This means we need to divide the people days by 2 to get how many days are needed for 2 people, thus:
dredge 60 min = 2 people for 90 days
please tell me. i have an hr to finish and try to get a passing grade so i won’t have to retake this class
Answer:
[tex]h(x)=\left(\cfrac{1}{10}\right)^3[/tex]
_______________
x h(x)
-3 (1/8)^{-3}= 1000
-2 (1/8)^{-2}= 100
-1 (1/8)^{-1}= 10
0 (1/8)^{0}= 1
1 (1/8)^{1}= 1/10
________________
~
Skylar has a bag that contains pineapple chews, apple chews, and peach chews. She performs an experiment. Skylar randomly removes a chew from the bag, records the result, and returns the chew to the bag. Skylar performs the experiment 23 times. The results are shown below:
A pineapple chew was selected 8 times.
A apple chew was selected 9 times.
A peach chew was selected 6 times.
If the experiment is repeated 2000 more times, about how many times would you expect Skylar to remove a peach chew from the bag? Round your answer to the nearest whole number.
Answer:
522 times
Step-by-step explanation:
a peach chew was chosen 6 out of 23 times so we can create a proportion out of 2000 based on that ratio:
'p' = times peach is chosen out of 2000
6/23 =p/2000
cross-multiply to get:
23p = 12000
p = 12000/23
p = 522 times
Answer:
522 times
Step-by-step explanation:
From this experiment, Skylar selects a peach chew 6/23 of the time. 6/23*2000=522. This works because 6/23 is the amount of chance Skylar has of selecting a peach chew if she selects one chew. If she selects 2000 chews, therefore, her odds of getting a peach chew would mean that she would get about 522 peach chews.
24b+25 what Is the value of b
Answer:
Tanong mo kay mama mo
Step-by-step explanation:
Kase mag aral ka ng mabuti wag puro brainly
Are the pair of lines parallel, perpendicular or neither? 8x-4y=12 and 4x-y=-15
Answer:
neither, would technically be intersecting lines tho
Step-by-step explanation:
26 - 44 : 11 - 5*2- 2*(14:7) =
Answer: 4
Step-by-step explanation:
Follow the PEMDAS so the first thing you do is 14:7 which is 2. then you do the division and multiplication so the 44:11 is 4, 5*2 is 10, and 2*2 is 4. The next thing you do is addition and subtraction. 26-4-4-10-4 is 4. So, the answer is 4.