Use the graph and the following equations to select the choice that best describes
the solution:
y = 2x and y = x + 20.
Answers
Answer:
(40, 20)
Step-by-step explanation:
first substitute 2x for y in y = x + 20: 2x = x + 20
flip the equation: x + 20 = 2x
subtract 20 from both sides: x + 20 - 20 = 2x - 20
simplify: x = 2x - 20
subtract 2x from both sides: x - 2x = 2x - 2x - 20
simplify: -x = -20
divide both sides by -1: -x/-1 = -20/-1
simplify: x = 20
substitute 20 for x in y = 2x or y = x + 20: y = 20 * 2 or y = 20 + 20
x = 20 y = 40
(40, 20)
Answer:
(20,40)
Step-by-step explanation:
First one: y=2x
y=40
x=20
40=2(20)
40=40 true
Second one: y=x+20
y=40
x=20
40=20+20
40=40 true
therefore the answer is (20,40)
Related Questions
The vertex of this parabola is at (-3,-2). Which of the following could be its
equation?
A. y=-2(x + 3)2 + 2
B. y=-2(x + 3)2 - 2
c. y=-2(x-3) 2+2
D. y = -2(x-3)2-2
Answers
Answer:
B.y=-2(x+3)2-2
Step-by-step explanation:
A if false beacuse you have to put (-3,-2) into all of your equations
B is correct
C is false
D is also false
Reflecting the graph of y = sin x across the yaxis is the same as reflecting it
across the x-axis.
TRUE OR FALSE
Answers
Answer:
True
Step-by-step explanation:
Answer:
TRUE
Step-by-step explanation:
This is due to the symmetry of the sin function, which states that:
[tex]sin(-x)=-sin(x)[/tex]
Plotting both of these functions is a reflection of [tex]y=sin(x)[/tex] in both axis.
Please help, this is a conversion problem.
Answers
Answer:
A. 41 ft / sec.
Step-by-step explanation:
28 miles per hour = 28/(60*60)
= 28 /3600 miles per second
= 28 * 5280 / 3600 feet per second
= 41 ft / sec.
Answer:
I am taking a guess so bare with me on here.
Step-by-step explanation:
first off: you want to look at each answer and think about how logical each one is. So you can cross out D. because it doesn't seem logical.
Second: Think about a car. when you are on the high way and your parents say 60 MPH that means going that speed (60MPH) you can get about 60 miles an hour and an hour is 60 min and 60 min is about 3,600 seconds because a min is 60 seconds.
Third: take out any other answer that looks too high or too low.
4th: the answer is A. because 88 and 189 is too high. and 36 is too low.
Change 95 millimeters to centimeters.
Answers
Answer:
9.5 cm
Explanation:
Work Shown:
10 millimeters = 1 centimeter
1 millimeter = 0.1 centimeter (divide both sides by 10)
95 millimeters = 9.5 centimeters (multiply both sides by 95)
A table has an area of 12 ft^2 and a perimeter of 16 ft. What are the dimensions of the table?
Answers
Answer:
2 and 6
Step-by-step explanation:
Well if the are is 12ft^2 and the perimeter is 16 ft then the length is 6 ft and the width is 2 ft.
So 6+6+2+2=16
6*2 is 12
Answer:
Step-by-step explanation:
hello,
we can assume that the table is a rectangle
so let's note x , y its length and width, we can write
(1 ) 2(x+y)=16
(2) xy=12
x and y are different from 0 and from (2) we can write
y =12/x we replace it in (1)
x+12/x=16/2=8
[tex]<=> x^2+12=8x\\<=> x^2-8x+12 = 0\\<=> x^2 -2x-6x+12=0\\<=> x(x-2)-6(x-2)=0\\<=> (x-6)(x-2)=0\\<=> x = 6 \ \ or \ \ x=2[/tex]
for x = 6 y = 2
for x = 2 y = 6
so the dimensions of the table is 2ft x 6ft
hope this helps
John goes running every morning. He can run 3 miles in 1 hour. How many miles would he be able to run in 1 and ½ hours? A. 4.5 miles B. 2 miles C. 6 miles D. 10 miles
Answers
Answer:
2
Step-by-step explanation:
well less than 3
Answer:
A
Step-by-step explanation:
The easiest way to do this problem is to find out how far he can go in 1/2 hour.
If he goes 3 miles in 1 hour
he will go 3/2 miles in 1/2 hour
=============
Now just add this onto the distance travelled in 1 hour.
3 + 3/2 = 3 + 1.5 = 4.5
The answer is A
The answer can be obtained another (perhaps better ) way.
Set up a proportion
1 hour gives 3 miles
1.5 hours gives x
1/1.5 = 3/x Cross multiply
1*x = 1.5 * 3 Combine
x = 4.5 miles
The function f(x) = 5 * (1/5) ^ x reflected over the yaxis. Which equations represent the reflected function? Select two options please I really need help
Answers
Answer:
The following two equations represent the reflected function:
f(x) = 5(1/5) ⁻ˣ
f(x) = 5(5)ˣ
Step-by-step explanation:
Following are two basic concepts of reflection a point or a function over an axis:
If a point or a function is reflected across x-axis, the x component remains the same while the y component changes its sign.If a point or a function is reflected across y-axis, the y component remain the same while the x component changes its sign.In this question, the function is given:
f(x) = 5(1/5)ˣ
As the function is reflected over y-axis, it follows the second concept. The x component will becomes negative.
So the equation of reflected function is:
f(x) = 5(1/5) ⁻ˣ
We know that that fraction with a negative power can also be written as a reciprocal of the same fraction with a positive power.
(1/5)⁻ˣ = 5ˣ
So equation of reflected function can also be written as:
f(x) = 5(5)ˣ
Answer:
f(x) = 5(1/5) ⁻ˣ
f(x) = 5(5)ˣ
The radius of a circle is 4 feet. What is the area of a sector bounded by a 45° arc?
Answers
Answer:
[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]
Step-by-step explanation:
Given
[tex]Radius, r = 4ft[/tex]
[tex]Angle, \theta = 45[/tex]
Required
Calculate the area of the sector
When angle is given in degrees, the area of sector is calculated as thus;
[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex]
[tex]Substitute\ r = 4\ and\ \theta = 45[/tex]
[tex]Area = \frac{\theta}{360} * \pi * r^2[/tex] becomes
[tex]Area = \frac{45}{360} * \pi * 4^2[/tex]
[tex]Area = \frac{45}{360} * \pi * 16[/tex]
[tex]Area = \frac{45*16}{360} * \pi[/tex]
[tex]Area = \frac{720}{360} * \pi[/tex]
[tex]Area = 2 * \pi[/tex]
[tex]Area = 2 \pi\ ft^2[/tex]
The above is the area in terms of π
Solving further.... (Take π as 3.14)
[tex]Area = 2 \pi\ ft^2[/tex] becomes
[tex]Area = 2 * 3.14\ ft^2[/tex]
[tex]Area = 6.28\ ft^2[/tex]
Hence, the area of the sector is
[tex]Area = 6.28\ ft^2[/tex] or [tex]Area = 2 \pi\ ft^2[/tex]
A waitress received a tip of 12% of a $375 food bill How much money in tips did she earn?
Answers
Answer:
$ 45Step-by-step explanation:
How much money in tips did she earn ?12%×$375 = 12×375/100 = 4500/100 = $45
All you have to do is make 12 a decimal (0.12) and multiply that by 375
PLEASE HELP! WILL MARK BRAINLIEST! THANK YOU! How many 2-digit numbers are among the terms of the arithmetic sequence 2, 7, 12, 17, ...?
Answers
Answer:
18 2-digit numbers.
Step-by-step explanation: There is
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97. :)
hope this helps
Answer:
I believe the answer is 18 2 digit numbers
Step-by-step explanation:
I just counted them :)
12, 17, 22, 27, 32, 37, 42, 47, 52, 57, 62, 67, 72, 77, 82, 87, 92, 97
These are all the 2 digit numbers!
A quadratic of the form -2x^2 + bx + c has roots of x = 3 + sqrt5 and x = 3 - sqrt5. The graph of y = -2x^2 + bx + c is a parabola. Find the vertex of this parabola.
Answers
Answer:
Just saying that there are links people post that scam you and this is requird by Brainly
Step-by-step explanation:
A certain club has $50$ people, and $4$ members are running for president. Each club member votes for one of the $4$ candidates. How many different possible vote totals are there?
Answers
Answer:
The number of different possible vote totals is 184.
Step-by-step explanation:
It is provided that there are N = 50 people in a club.
The position of President is open. And there are x = 4 members running for he post of President.
So, there are n = N - x = 50 - 4 = 46 people voting for these 4 members.
Each member of the club has x = 4 possible choices.
So, the number of different possible vote totals are:
Number of different possible votes = n × x
= 46 × 4
= 184
Thus, the number of different possible vote totals is 184.
Which sets are best represented by the Venn diagram G = {odd numbers)
H = {even numbers)
1 = {prime numbers
B. G = {a,b,c}
H = {d, e, f}
1 = {a, d, g}
C. G= {1, 2, 3
H = {2, 4, 9}
1 = {4, 5, 6)
D. G={a, -13,7}
H={-13, -15, s}
1 = {s, a, 23}
Answers
Answer:
option C.
G = {1, 2, 3}
H = {2, 4, 9}
1 = {4, 5, 6}
Step-by-step explanation:
From the diagram given above, we obtained the following information:
1. G Intercession H (G n H) has members i.e (G n H) is not epmty
G n H ≠ empty.
2. H Intercession I (H n I) has members i.e (H n I) is not empty
H n I ≠ empty.
3. G Intercession I (G n I) is empty i.e
G n I = empty.
Please note: Intercession of sets talks about elements or members common to the sets.
With the above information, we can suggest the answer to the question as follow:
For option A:
G = {odd numbers} = {1, 3, 5, 7,.. }
H = {even numbers} = {2, 4, 6, 8,.. }
I = {prime numbers} = {2, 3, 5, 7,...}
Therefore:
G n H = {} = empty
H n I = {2}
G n I = {3, 5, 7,..}
For option B:
G = {a,b,c}
H = {d, e, f}
I = {a, d, g}
Therefore:
G n H = {} = empty
H n I = {d}
G n I = {a}
For option C:
G = {1, 2, 3}
H = {2, 4, 9}
I = {4, 5, 6}
Therefore:
G n H = {2}
H n I = {4}
G n I = {} = empty
For option D:
G = {a, -13, 7}
H = {-13, -15, s}
I = {s, a, 23}
Therefore:
G n H = {-13}
H n I = {s}
G n I = {a}
From the above illustrations, only option C is correct.
Find the sum of the digits of the number 6+66+666+6666 + ... +666...66, where the last number contains 100 digits.
Answers
Answer:
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
Step-by-step explanation:
Step(i):-
Given series
6+66+666+6666 + ... +666...66 up to 100 digits
Taking common '6'
6 ( 1 + 11 +111+ 1111+1111+.................11111....11 100 digits)
Multiply '9' and divisible by'9'
[tex]\frac{6}{9} X9( 1+11 +111 +1111 +1111+ ..........11111..up to .100 digits )[/tex]
Multiply inside '9'
[tex]\frac{6}{9}( 9+99 +999 +9999 +.....+ ..........9999..up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10-1)+(100-1)+(1000-1) +(10,000-1)+.....+ ............up to .100 digits )[/tex]
[tex]\frac{6}{9}( (10)+(100)+(1000) +(10,000)+.....+ ............up to .100 digits ) - ( 1+1+1+1+........up to 100 digits)[/tex]
Step(ii):-
we know that sum of geometric series
[tex]S_{n} = \frac{a(r^{n}-1) }{r-1}[/tex]
we know that
a + a + a+........n terms = n a
[tex]\frac{6}{9}( (10)+(10)^{2} +(10)^{3} +(10)^4+.....+ ............up to .100 digits - (100(1))[/tex] ....(i)
The sum of the 100 digits in geometric series
[tex]S_{100} = \frac{10((10)^{100}-1) }{10-1}[/tex]
Now the equation (i)
The sum of the digits of the number
[tex]= \frac{6}{9} ((\frac{10((10)^{100}-1) }{10-1}) - 100)[/tex]
Final answer :-
Sum of the digits of the number
[tex]= ((\frac{60((10)^{100}-1) }{81}) - \frac{600}{9} )[/tex]
Which of the following are point slope equations of the line going through (-3, -5) and (2, 4). Help is appreciated!
Answers
Answer:
A and F
Step-by-step explanation:
first figure out the slope.
4-(-5)/2-(-3)= 9/5
slope: 9/5
y-y1=m(x-x1)
you substitute either coordinate for the second variables. we automatically take out any slopes that have a negative because the slope is positive.
C, D, E all have negative slopes so it is wrong.
B does not work because a negative times a negative is a positive. the equation shows it to be negative so it is wrong.
A & F fit the solution.
Mr. MD is losing 20% of his hair each year. If he currently has 1,546 hairs on his head, about how many hairs will he have left in ten years?:::: Write a function- What is the initial amount? What is the decay rate? What is the final function? Thank you!
Answers
Answer: 166 hairs
Step-by-step explanation:
Initially he had 1546 hairs. Loses 20% each year. So after 10 years, he will have
= 1546 x 0.80^10
= 1546 x .107374
= 166 hairs
After 10 years, 166 hairs have left on Mr. MD head.
Decay rate is 20 %.
The number of hairs left after n years is given by,
[tex]A =P(1-\frac{r}{100} )^{n}[/tex]
Where P is the current population value, r is rate of decay and n is number of years.
Given that, [tex]P=1546,n=10,r=20[/tex]
Substitute values in above equation.
[tex]A=1546(1-\frac{20}{100} )^{10} \\\\A=1546*(\frac{4}{5} )^{10} \\\\A=166[/tex]
Thus, After 10 years, 166 hairs have left on Mr. MD head.
Learn more:
https://brainly.com/question/20992156
help me with the right answer plz
Answers
Answer:
1068 mins
Step-by-step explanation:
Answer:
1068.4 words per min.
Step-by-step explanation:
103words x 861 pages= 88683 words
88683words/83words per minute=1068.4words per min
What does an individual’s effective tax rate indicate?
A.
the average income earned
B.
the average tax rate
C.
the minimum tax rate
D.
the next year’s tax rate
Answers
Answer:
the answer is B
Step-by-step explanation:
100 on the plato test
Answer:
A. the average income earned
B. the average tax rate
C. the minimum tax rate
D. the next year's tax rate
Step-by-step explanation:
Plato Users
Every year, the drama club sells tickets to the school play. Last year, the club sold 75 tickets. This year, they sold
105 tickets. What percent of last years' ticket sales were this year's ticket sales?
A. 40%
B. 71%
C. 130%
D. 140%
Answers
Answer:
D 140%
Step-by-step explanation:
n/100 =105 divided by 75
next n times 105 = 75 x 100
105n = 7500
N =140:)
Can you help me please?
Answers
Answer:
30 comedy DVDs
35 Action DVDs
5 Horror DVDs
Step-by-step explanation:
Total Parts of the ratio are = 6+7+1 = 14 parts
Now Finding:
1) Comedy:
=> [tex]\frac{6}{14} * 70[/tex]
=> 6 * 5
=> 30 comedy DVDs
2) Action:
=> [tex]\frac{7}{14} * 70[/tex]
=> 7 * 5
=> 35 Action DVDs
3) Horror:
=> [tex]\frac{1}{14} * 70[/tex]
=> 1*5
=> 5 Horror DVDs
Which representation represents a proportional relationship? A x 2 4 6 8 y 6 8 10 12 B y = 2 x + 2 C On a coordinate plane, a line goes through points (negative 1, 0) and (0, 1). D x 4 7 12 15 y 8 14 24 30 A B C D
Answers
Answer:
(D)
Step-by-step explanation:
A proportional relationship is in the form of y=kx where k is the proportionality constant.
From the given options:
Consider the pairs (x,y) in Option D
(4,8),(7,14)(12,24),(15,30)
When y=8, x=4, Substituting into y=kx, we have: 8=4k and k=2When y=14, x=7, Substituting into y=kx, we have: 14=7k and k=2When y=24, x=12, Substituting into y=kx, we have: 24=12k and k=2When y=30, x=15, Substituting into y=kx, we have: 30=15k and k=2We can see that the proportionality constant is equal for the four pairs. Therefore, the set of pairs in Option D represents a proportional relationship.
Answer:
the correct answer is D
Step-by-step explanation:
just got it right on edge 2020
89 x (100-2) = 98 x (100-x) What should replace 'x' to make the equation true?
Answers
Answer:
x=11
Step-by-step explanation:
the 100-2=98 so you would need the 98 times 89 on both sides or something that is equal
[tex]\bigstar\bf\:89\times (100-2)=98\times (100-x)[/tex]
[tex]:\implies\tt\:89\times 98=98\times (100-x)[/tex]
[tex]:\implies\tt\:100-x=\dfrac{89\times 98}{98}[/tex]
[tex]:\implies\tt\:100-x=89[/tex]
[tex]:\implies\tt\:x=100-89[/tex]
[tex]:\implies\boxed{\bf{\gray{x=11}}}[/tex]
Which of the following is a true proportion of the figure based on the triangle proportionality theorem? answers: A) ab= dc B) ac=ad C) ab=ac D) bd=ca
Answers
Answer:
A) a/b = d/c
Step-by-step explanation:
The Triangle Proportionality Theorem states that if a line is parallel to one side of a triangle and it intersects the other two sides, then it divides those sides proportionally.
In this case, line TU is parallel to side QR. So, the ratios a:b and d:c are equal. In other words, a/b = d/c
6+{5+[2+(8+20)]} we are supposed to compute!!! I have no idea how!
Answers
Step-by-step explanation:
Is this correct
HAVE A GOOD DAY!
Solve for b
117
63
27
160
Answers
Answer:
27
Step-by-step explanation:
180-153=b
b=27
Answer:
B) 27
Step-by-step explanation:
Because 153 and b are a linear pair, their angle measures must add up to 180 degrees. Therefore:
153+b=180
b=180-153
b=27
Hope this helps!
whats the difference between a sequence and a series?
Answers
Answer:
A sequence is defined as an arrangement of numbers in a particular order. On the other hand a series is defiend as the sum of the elements of a sequence!
Use this area model to find
1/4 divided by 3 =
Answers
Answer:
Step-by-step explanation:
1/4/3=1/4*1/3=1/12
Answer: 1/4 ÷ 3 = 1/12
Help ASAP please Graph the line that has a x-intercept of -5 and a y-intercept -2 what is the slope of the line
Answers
Answer:
Slope: -2/5
Step-by-step explanation:
To find slope, use: [tex]m = \frac{y2-y1}{x2-x1}[/tex]
Compute i^1+i^2+i^3+...+ i^97 + i^98+i^99.
Answers
If [tex]i=\sqrt{-1}[/tex], then [tex]i^2=-1[/tex], [tex]i^3=-i[/tex], and [tex]i^4=1[/tex].
We can break up the given sum into 25 groups (after adding and subtracting [tex]i^{100}[/tex]):
[tex](i+i^2+i^3+i^4)+(i^5+i^6+i^7+i^8)+\cdots+(i^{97}+i^{98}+i^{99}+i^{100})-i^{100}[/tex]
We have
[tex]i+i^2+i^3+i^4=i-1-i+1=0[/tex]
and in each group, we can pull this out as a factor. For example,
[tex]i^{97}+i^{98}+i^{99}+i^{100}=i^{96}(i+i^2+i^3+i^4)=0[/tex]
So the entire sum reduces to the remaining term,
[tex]-i^{100}=-i^{25\cdot4}=-(i^4)^{25}=-1^{25}=\boxed{-1}[/tex]
Answer:
jhjhjhjjjhjhjjjjh and yea that .....................................................................................................................................................................
Step-by-step explanation:
Write each repeating decimal using bar notation.
•2.034034...
•0.9222....
•0.7777....
Answers
Answer:
___
2.034
over .034
_
0.92
over 2
_
0.7
over 7
Step-by-step explanation:
Bar notation of 2.034034.... is [tex]2.\overline{034}[/tex], 0.9222... is [tex]0.9\overline{2}[/tex], 0.7777... is [tex]0.\overline{7}[/tex]
What is bar notation for non terminating and recurring decimals?Non terminating and recurring decimal expansion are those in which the decimal expansion does not terminates and a certain number of group of numbers keep repeating in the expansion.
For example 10/3 = 3.33333..... here the decimal expansion is non terminating and 3 is recurring in the expansion.
Instead of writing this repeating part again and again we put a bar on the numbers that keep repeating.
Bar notation of 3.33333... is written as [tex]3.\overline{3}[/tex]
Given decimal expansions are
a. 2.034034....
We can see that this decimal expansion is non terminating, recurring and 034 is recurring part of decimal expansion so bar will come on 034 after decimal.
Bar notation of 2.034034.... = [tex]2.\overline{034}[/tex]
b. 0.9222....
We can see that this decimal expansion is non terminating, recurring and 2 is recurring part of decimal expansion so bar will come on 2 after decimal.
Bar notation of 0.9222... = [tex]0.9\overline{2}[/tex]
c. 0.7777....
We can see that this decimal expansion is non terminating, recurring and 7 is recurring part of decimal expansion so bar will come on 7 after decimal.
Bar notation of 0.7777... = [tex]0.\overline{7}[/tex]
Also, learn more about decimal expansions from the link below:
https://brainly.com/question/17316823
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