Can someone please answer
Hello!
We can graph by finding critical points - intersections, y-intercepts, x-intercepts.
Find the intersection point by setting the two equations equal to each other:
-4x + 3 = x - 2
Subtract x from both sides:
-5x + 3 = - 2
Subtract 3 from both sides:
-5x = -5
Divide both sides by -5:
-5x/(-5) = -5/(-5)
x = 1
Find the y-value of intersection by plugging in x = 1 into an equation:
y = 1 - 2 = -1
Intersection at (1, -1)
Find the x and y intercepts of each equation:
y = -4x + 3
Set x to 0 to find the y-intercept:
y = -4(0) + 3 = 3
Set y to 0 to find the x-intercept:
0 = -4x + 3
-3 = -4x
x = 3/4
Therefore, this equation has a y-intercept at (0, 3) and and x-intercept at (3/4, 0).
y = x - 2
Set x to 0 to find the y-intercept:
y = 0 - 2 = -2
Set y to 0 to find the x-intercept:
0 = x - 2
x = 2
Therefore, this equation has a y-intercept at (0, -2) and and x-intercept at (2, 0).
Graph the two equations with the solved critical points:
y = -4x + 3
--> (1, -1)
--> (0, 3)
--> (3/4, 0)
y = x - 2
--> (1, -1)
--> (0, -2)
--> (2, 0)
**Graphed below**
Which equation is equivalent to 1/5x - 3 = 2/3
A : x-15=10
B : 3x-15=10
C : 3x-45=10
D : 5x-45=3
HELP MEEEEE this is so harddd. the picture is above.
Answer:
A)
Step-by-step explanation:
V=1/3([tex]\pi[/tex]r²)h
3* V=1/3(πr²h)*3 to get rid of the 1/3 on that side
3V/(πr²)=(πr²)h/(πr²) to get rid of the πr² on the other side(they cancel out)
3V/(πr²)=h is the final answer so that matches A
The students at Job's high school
were surveyed to determine their
favorite foods. The results are shown
in the table below. Suppose students
were randomly selected and asked
what their favorite food is. Find the
probability of each event. Write as a
fraction in simplest form.
Favorite Food Responses
Pizza 19
Steak 8
Chow-mein 5
Seafood 4
Spaghetti 3
Cereal 1
16. P(steak)
17. P(Spaghetti)
18. P(cereal or seafood)
19. P(not chow-mein)
19. P(pizza)
20. P(cereal or steak)
21. P(not steak) 22. P(not cereal or seafood)
23. P(chicken) 24. P(chow mein or spaghetti)
Ming works as a quality assurance analyst at a bottling factory. She wants to use a one-sample z interval to estimate what proportion of 500 ml bottles are underfilled. She wants the margin of error to be no more than 4% at 90% confidence. What is the smallest sample size required to obtain the desired margin of error?
a) 271
b) 423
c) 651
d) 888
Answer:
Sample size is [tex]n=423[/tex]
Step-by-step explanation:
Given that,
Margin of error [tex]=4[/tex]%
Confidence level [tex]=90[/tex]%
Suppose, sample proportion[tex]=0.5[/tex]
i.e. [tex]\hat{P}=0.5[/tex]
We know that,
Margin of error [tex]=2^*\sqrt{\frac{\hat{p}(1-\hat{p})}{n} }[/tex]
∴ [tex]1.64\sqrt{\frac{0.5(0.5)}{n} } \leq 4\%[/tex]
[tex]\Rightarrow 1.64\sqrt{\frac{0.25}{n} } \leq 0.04[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq \frac{0.04}{1.64}[/tex]
[tex]\Rightarrow \frac{0.5}{\sqrt{n} } \leq 0.0243[/tex]
[tex]\Rightarrow \sqrt{n}\geq \frac{0.5}{0.0243}[/tex]
[tex]\Rightarrow \sqrt{n}\geq 20.57[/tex]
squaring on both side,
∴ [tex]n=423.1249[/tex]
Hence, the sample size is,
[tex]n=423[/tex]
Hence, the correct option is [tex](b).[/tex]
Answer:
423
Step-by-step explanation:
Graph the line that passes through the points (-6,5) and (-9,9) and determine
the equation of the line.
Dawn has two bank accounts she has been using to save money for a car. The difference between account A and account B is $100. If she uses StartFraction 3 Over 8 EndFraction of account A and StartFraction 7 Over 8 EndFraction of account B, Dawn will have a down payment of $2000. Choose the statements that are true when solving for the amount Dawn has in each account. Check all that apply.
One of the equations that represents this scenario is A – B = 100.
One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
To eliminate the A variable, multiply the first equation by 3 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by 8.
To eliminate the B variable, multiply the first equation by 7 and the second by –8.
Answer:
1) One of the equations that represents this scenario is A – B = 100.
2)One of the equations that represents this scenario is StartFraction 3 Over 8 EndFractionA + StartFraction 7 Over 8 EndFractionB = 2000.
4) To eliminate the B variable, multiply the first equation by 7 and the second by 8.
Step-by-step explanation:
Answer:
a b and d
Step-by-step explanation:
The graph at the bottom shows the relationship of the amount of time (in seconds) to the distance (in feet) run by a jaguar.
What does the point (5,290) represent in the context of the situation?
Answer:
5,290 repersent the distence that the jaquar jumped . and ran.
Step-by-step explanation:
pleas mark brainist plz happy to help
I will give brainiest to whoever answers correctly !!
Answer:
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of 11487.
Step-by-step explanation:
The population of the town after x years is given by the following equation:
[tex]P(x) = 5000(1.181)^{0.1x}[/tex]
After 10 years, the population of the town will be of:
This is P(10). So
[tex]P(10) = 5000(1.181)^{0.1*10} = 5000(1.181)^1 = 5905[/tex]
After 10 years, the population of the town will be of 5905.
After 50 years, the population of the town will be of:
This is P(50). So
[tex]P(50) = 5000(1.181)^{0.1*50} = 5000(1.181)^5 = 11487[/tex]
After 50 years, the population of the town will be of 11487.
The formula for the velocity of an object is v=d/t, where v is the velocity of an object, dis the distance traveled, and t is the time elapsed, while the distance is traveled. If you had only this formula to work with, what should your first step be in determining how long it takes for light to reach Earth from the Sun? What additional information do you need to calculate this?
Answer:
To know the distance between the sun and the earth you need isolate d of the equation:
[tex]v = \frac{d}{t} \\ d = vt[/tex]
and the additional information needed is the velocity of light and the time elapsed to be in the earth
PLZZ HELP !! Select the correct answer. What are the zeros of the function y= (x-4)(x^2 - 12x+36)
A. -6,4 and 6
B. 4 and 6
C. -6 and -4
D. 0, 4, and 6
The zeroes of any function are where the function touches or passes through the x-axis.
To find these zeroes, we can factor, and set each part equal to 0.
y = (x - 4)(x^2 - 12x + 36)
It looks like some of the factoring was already done for us! All we have to do is factor the quadratic. To do so, we need two numbers that multiply to equal (a * c) and add up to b. In this case those two numbers are -6 and -6.
y = (x - 4)(x - 6)(x - 6)
Finally, set each part equal to 0!
x - 4 = 0
x = 4
x - 6 = 0
x = 6
x - 6 = 0
x = 6
Therefore, the zeroes of the function are 4 and 6, option B.
Hope this helps!! :)
answer quick will give 20 points
Answer:
1
Step-by-step explanation:
the answer is the correct soulotion to what x and y repersent. (sorry for bad grammar, english isnt my first language)
Answer:
The correct answer to your question I believe is 1
Step-by-step explanation:
So yes the first person is correct :) Hope I helped though. Have a great day! Bye! You got this!
Jaden and Dani are both travelling by train.
Jaden's train travels 130 km in 75 minutes.
Dani's train travels 312 km.
It leaves at 15:15 and arrives at 18:30.
Work out the difference, in km/h, between the average speed of their trains.
Answer: 28.765957 km/hour
This value is approximate. Round it however you need to.
==============================================
Explanation:
Let's convert 75 minutes to hours.
75 min = (75 min)*(1 hr/60 min) = (75/60) hr = 1.25 hr
So Jaden's train takes 1.25 hours to travel 130 km. Her train's speed is
speed = distance/time
speed = (130 km)/(1.25 hrs)
speed = (130/1.25) km per hour
speed = 104 km per hour
Let A = 104, so we can use it later.
------------------------------------
Dani's train leaves at 15:15 and arrives at 18:30. We need to calculate the duration of elapsed time here.
From 15:15 to 16:00, this is a difference of 00:45, aka 45 minutes or 45/60 = 3/4 = 0.75 hours.From 16:00 to 18:00, this is a time gap of 2 hours. From 18:00 to 18:30, this is a gap of 30/60 = 0.5 hoursOverall, the length of time from 15:15 to 18:30 is 0.75+2+0.5 = 3.25 hours.
Dani's train travels 312 km in 3.25 hours.
That train's speed is...
speed = distance/time
speed = (312 km)/(3.25 hours)
speed = (312/2.35) km per hour
speed = 132.765957 km per hour, approximately
Let B = 132.765957 so we can use it later.
------------------------------------
Lastly, we subtract the values of A and B to get the final answer
C = difference in train speeds.
C = B - A
C = 132.765957 - 104
C = 28.765957 km/hour
This value is approximate. This says that Dani's train is approximately 28.765957 km/hour faster compared to Jaden's train.
Estimate the sum of 13 and 45
Answer:
58
Step-by-step explanation:
Answer:
58
Step-by-step explanation:
13 plus 45 is 58
you add them.
do you understand?
JELPPPPP it’s due in 5 mins
The answer is 65
Step-by-step explanation:
all you had to do was divide
Find the measure of each angle. a. Angle A = ? b. Angle B = ? c. Angle C = ?
Answer:
angle A=140
angle B=105
angle C=60
angle A=140
angle B=105
angle C=60
Step-by-step explanation:
PENN
I need help bad!!! Please help!
Answer:
Both Question (bottom right corner)
Step-by-step explanation:
Question 2 is obviously a variable because the amount of goals you can score in a game varies, one game it could be 10 then next it could be 5, But for question 1 the amount of work hours she puts in, (assuming she choses when to work and when not to) is also a variable because the amount she works varies from day to day.
Both these examples how data that varies from day to day.
Hope this helps!
i need help! please....
Answer: the elapsed time is 3 hours and 45 minutes, so option C.
what is 2-2? i dont know
Answer:
2-2 = 0
Step-by-step explanation:
2 is a positive number
While the second 2 is a negative 2
(-2)
so a positive and a negative number can cancel eachother out
Therefore the answer is 0 since they are both 2 :)
Help plis
17. Find the sum of (10x + 3) and (- 4x - 2).
Answer:
6x + 1
Step-by-step explanation:
1. (10x + 3) + (-4x -2) --> sum means to add.
2. Combine like terms --> 10x - 4x = 6x; 3 - 2 = 1.
3. 6x + 1
PLEASE ANSWER ASAP FOR BRAINLEST WITH WORK!!!!!!!!!!!!!!!
Answer:
The answer is 43 because 600/14 = 42.8571429 rounded to the nearest whole number is 43.
Step-by-step explanation:
3 more than x is less than 6
Answer:
x = 0
Step-by-step explanation:
Answer:
0
Step-by-step explanation:
its complicated to explain sorry, but trust me
√−100 = + i
edge2021 Algebra 2
Step-by-step explanation:
√-100
= √100 * √-1 (√mn = √m * √n)
= 10i. (i² = -1, i = √-1)
Ivy and Andrey were asked to find an explicit formula for the sequence -100,-50,0,50,...−100,−50,0,50,...minus, 100, comma, minus, 50, comma, 0, comma, 50, comma, point, point, point, where the first term should be f(1)f(1)f, left parenthesis, 1, right parenthesis.
Ivy said the formula is f(n)=-100+50(n-1)f(n)=−100+50(n−1)f, left parenthesis, n, right parenthesis, equals, minus, 100, plus, 50, left parenthesis, n, minus, 1, right parenthesis.
Andrey said the formula is f(n)=-150+50nf(n)=−150+50nf, left parenthesis, n, right parenthesis, equals, minus, 150, plus, 50, n.
Which one of them is right?
Answer:
both
Step-by-step explanation:
Solve the inequality.
8 + 12x < -16
Answer:
x < - 2
Step-by-step explanation:
I hope this helps.
Answer:
x < -2
Step-by-step explanation:
1) 12x+8< -16 Rearrange the expression
2) 12x < -16+8 Separate the constants and variables
3) 12x< -24 Add the the number
4) 12x/12 < -24/12 Divide both sides by 12
5) x< -2 Answer
Hope that helps.
ANSWER FAST PLS HAVE 5 MIN FOR THIS
Employees of a painting service paint the interior walls of homes and office buidings.
The following table shows the number of cons of point the employees use, and the
number of square feet they cover.
Cans of paint
3
Area painted (square feet) 375
1125 1500
Which equation describes the relationship between the number of cons of paint
used, and the number of square feet that are covered?
1
2
750
A
y = 375x + 375
B
y=+*
375
y = 50x + 325
D
y = 375x
Answer:
Y=375x
Step-by-step explanation:
thats the answer
If our school store purchased 144 mittens last year, and this year we would like to purchase 30% more than last year. How many mittens do we need to order this year?
Answer: It would be 43 mittens
Step-by-step explanation:
Gabrielle is 12 years younger than Mikhail. The sum of their ages is 76 . What is Mikhail's age?
Answer:
48 years old
Step-by-step explanation:
Let x = Mikhail's age
then x-15 = Gabrielle's age
x + x-15 = 81
2x-15 = 81
2x = 96
x = 48 years old
Answer:
44
Step-by-step explanation:
x+(x-12)=76
2x-12=76
2x=76+12
2x=88
x=88/2
x=44
A relay race covers a distance of 21/2 miles. Each runner on the team will run 1/4 miles how many runner needed for the team to cover the distances
Answer: 10
Step-by-step explanation:
Each mile has 4 quarter miles.
2.5 miles are covered.
4×2.5=10
Please help!!! Will give brainliest!!!
Answer:d
Step-by-step explanation:
Both aren’t related But they do have some impact on eachother