Answer:
y = - x + 6
Step-by-step explanation:
[tex] point \: slope: y - y_{1} = m(x - x_{1})[/tex]
as y is the y coordinate of the final point , y1 is the y coordinate of the initial point, m is the slope or gradient of the line, x is the x coordinate of the final point, and x1 is the x coordinate of the initial point.
given (-1,7) and (2,4). 7 = y1, 4 = y, -1 = x1, 2 = x.
when substituted into the equation the unknown variable is the slope which we are solving for.
y-y1=m(x-x1) ; y = 4, y1 = 7, x = 2, x1 = -1
(given)
4-7 = m(2--1)
(substitution property of equality)
-3 = m(2--1)
(subtraction property of equality)
-3 = m(3)
(subtraction property of equality)
-3 = 3m
(multiplication property)
-1 = m.
(division property of equality)
m = -1
(symmetric property of equality)
_____________________________
once m is solved you just need the initial values to solve for the actual equation.
y - y1 = m (x - x1) ; y1 = 7, m = -1, x1 = -1
(given)
y - 7 = -1 (x - -1)
(substitution property of equality)
y - 7 = -1 (x + 1)
(subtraction property if equality)
y - 7 = -x - 1
(distributive property of equality)
y = -x - 1 + 7
(addition property of equality)
y = -x + 6
(addition property of equality)
Answer:
get from (4,1) to (2,9) go up 8 and over 2 left (-2) - (4 - 2, 1 + 8), do this again (2 - 2, 9+8) and end up at (0,17) which is the y how do you change 7x+3y=3 into slope intercept form.
fjnjerng ertekjrtker terkjtkert ertkjrenktmermt erktnkermter
[7(2) - 4] + [9+ 8(4)]
Answer:
51
Step-by-step explanation:
[7(2) - 4] + [ 9 + 8(4)]
open brackets
[14 - 4] + [ 9 + 32]
[10] + [41]
10 + 41
= 51
Preform the indicated operation 1 1/3 times 3 3/4
Please help!
the answer is A.Sorry if i am incorrect
20*35*x = 7626.9923/2
Answer:
X = ejpp formula
Step-by-step explanation:
Ellie must mix 6 tablespoons of plant food for every 2 gallons of water. If she has 6 gallons of water,how much plant food should she use?
4. Billy Breath jogged 40 miles in 16 minutes. What is his rate of speed?
Answer:
2.5 mins
Step-by-step explanation:
Step 1:
40 : 16 Ratio
Step 2:
40 ÷ 16 Divide
Answer:
2.5
Hope This Helps :)
Answer:
i think the answer is 150 mi/h
Step-by-step explanation:
solve
0=40+3x
show work please
-5/12 • 8/13= What is the sum?
Answer:
-10/39
Step-by-step explanation:
Graphs of the following equations are straight lines except :
A. 3x+2y=8
B. y=x/2-5
C. x=4y
D. y=x^2+3
Answer:
D
Step-by-step explanation:
The graph of the equations are straight lines except : [tex]y=x^2+3[/tex]
What is graph of quadratic equation?The graph of a quadratic function is called a parabola and has a curved shape. One of the main points of a parabola is its vertex. It is the highest or the lowest point on its graph.
According to the question
Graphs of the following equations :
A. 3x+2y=8
This is a straight line graph as it variables are linear and after plotting graph this can be seen .
Points
(0,4) (2,1) ....
B. y=[tex]\frac{x}{2}-5[/tex]
This is a straight line graph as it variables are linear and after plotting graph this can be seen .
Points
(0,-5) (2,-4) ....
C. x=4y
This is a straight line graph as it variables are linear and after plotting graph this can be seen .
Points
(0,0) (1,4) ....
D. [tex]y=x^2+3[/tex]
This is a quadratic equation , therefore its graph will be a parabola .By plotting graph can be observed.
Points
(-1,4)(0,3) (1,4)......
Hence, the graph of the equations are straight lines except : [tex]y=x^2+3[/tex]
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Given the points (–1,3) and (2,–3), what's the slope of the line?
Answer: -2
Step-by-step explanation:
rise/run= y2-y1/x2-x1
An organization has raised $4800 for a remodeling project. This is 60% of their goal.
What is their fundraising goal
Answer:
$8000
Step-by-step explanation:
1. Work out 1% of the overall value:
4800= 60%
4800/60= 1%
80= 1%
2. Use this to work out 100%:
80 x 100= 100%
8000= 100%
3. Put this back into the context of the question:
Fundraising goal= $8000
A running track in the shape of an oval is shown. The ends of the track form semicircles.
A running track is shown. The left and right edges of the track are identical curves. The top and bottom edges of the track are straight lines. The track has width 54 m and length of one straight edge 120 m.
What is the perimeter of the inside of the track? (π = 3.14)
409.56 m
480.00 m
579.12 m
616.80 m
Answer:
409.56 m
Step by step explanation:
Answer:
The answer is A.) 409.56 m Step-by-step explanation: so... yea hope this helps! :)
128.5 divided by 4.5
Answer:
the answer is 28.555555 and so on
Step-by-step explanation:
if you want it rounded then-
to the nearest hole number it would be 29
to the tenth it would be 28.6
to the hundredth its 28.56
The division of 128.5 by 4.5 is 28.555555.. It is a repeating number.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that the two numbers are 128.5 and 5. The division of the number 128.5 by 4.5 will be done as,
if you want it rounded then-
To the nearest whole number, it would be 29
To the tenth, it would be 28.6
To the hundredth, it's 28.56
Hence the division of the number will be 28.5555...
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Can someone help me please
Answer:5
Step-by-step explanation:
yes
helpp meeeeeee pleasereee
Answer:
take 6 divide by 11 and one :)
Step-by-step explanation:
yes this anser hope you like :)
ax+by=c solve for y plz help hurryyyyy
The alpha level is the set of analysis of the data. Identify the boundaries that separate the extreme samples from the samples that are more obviously consistent with the null hypothesis. Assume the null hypothesis is nondirectional, meaning that the critical region is split across both tails of the distribution.
The z-score boundaries at an alpha level α = .05 are:_________
Answer:
Kindly check explanation
Step-by-step explanation:
Given the question :
The z-score boundaries at an alpha level α = .05 are:
When critical region is split across both tails of the distribution.
Then our alpha level is also divided by two and the Zscore of the probability obtained is looked up on the z table.
α = .05
Since critical region is split into 2, alpha will be divided by two to obtain the probability value ;
α/2 = 0.05 / 2
α/2 = 0.025
Zα/2 = Z.025
From the z table, probability of 0.025 corresponds to a Zscore of - 1.96 ( negative tail)
Also, (1 - 0.025) = 0.975 corresponds to a Zscore of - 1.96 ( positive tail)
Z.025 = ±1.96
Solve equation 5 = 4(b-3)
Answer:
[tex] b = \dfrac{17}{4} [/tex]
Step-by-step explanation:
5 = 4(b-3)
Distribute the 4 on the right side.
5 = 4b - 12
Add 12 to both sides.
17 = 4b
Divide both sides by 4.
[tex] \dfrac{17}{4} = b [/tex]
Answer: [tex] b = \dfrac{17}{4} [/tex]
Which expression is the simplified form of −10+3x−x−7x+5x+7+2x
Answer:
2x - 3
I hope this helps!
Simplify: −2s − 9 + 7 − 5r use s = 3 and r =
Answer:
-2s - 9 + 7 - 5r
Step-by-step explanation:
Add -9 and -7.
-2s - 2 - 5r
Move -2.
-2s - 5r - 2
Reorder -2s and -5r.
-5r - 2s - 2
I hope this helps.
if you could, feel free to mark me Brainliest it would be much appreciated :D
Write in words: 970,001
Answer:
nine hundred, seventy thousand and one
Step-by-step explanation:
Step-by-step explanation:
Nine Hundred,Seventy Thousand and One
The auxiliary bookstore in the student center has one checkout counter where one employee operates the cash register. Customers arrive at a rate of 24 per hour following a Poisson distribution and service times are exponentially distributed, with a mean rate of 30 customers per hour. The average purchase per customer is $48. The bookstore considers adding another employee to assist the present operator. There are several options to utilize this additional staff. One is to enable more customers to be served in less time, thus increasing the service rate from 30 customers per hour to 40 customers per hour. Alternatively, the bookstore could redesign to add a second cash register, one has its own line. Assume existing customers split evenly between the two cash registers and each has her/his own line, just like most grocery stores. Finally, the bookstore can use this additional staff as a second register but unlike option 2, there is only one combined line shared by these two registers (like most of the bank tellers). Assume the hourly rate for each employee is $20, regardless what job do they perform. Assume that each customer is only waiting for up to 1 minute to be served, or would renege (i.e., leave the store unpurchased). Which option should the bookstore adopt to minimize the total cost?
Answer and explanation:
Find attached
Both customers' arrival and service times follow exponential distribution. We have calculated the essential operating characteristics of this queuing system
How are proportional quantities described by equivalent ratios?
Decide whether two quantities are in a proportional relationship, e.g., by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. ... Describe situations in which opposite quantities combine to make 0.
Proportional quantities are described by equivalent ratios as shown below
[tex]\frac{p_1}{q_1} = \frac{p_2}{q_2}[/tex]
Let the two proportional quantities be p and q
If p and q are proportional, then [tex]p \alpha q[/tex]
Introducing a proportionality constant (k)
[tex]p = kq\\\\k = \frac{p}{q}[/tex]
Since the two quantities are proportional, the ratio of initial values will be equal to the ratio of their final values.
That is [tex]\frac{p_1}{q_1} = \frac{p_2}{q_2}[/tex]
Therefore, proportional quantities are described by equivalent ratios as shown below
[tex]\frac{p_1}{q_1} = \frac{p_2}{q_2}[/tex]
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What’s the y intercept ?
Answer:
(0,3)
Step-by-step explanation:
A driving range charges $4 to rent a golf club plus $2.75 for every bucket of golf balls you hit. Write an equation
that shows the total cost c hitting b buckets of golf balls.
Answer:
4+2.75b=c
Step-by-step explanation:
The price of 4 is already set and so we don't know how many buckets of golf balls are used so we put the variable after it.
To solve 38 = 6x - 16, you would subtract 16 and then divide by 6.
true
or
false
Answer:
true to some extent
Step-by-step explanation:
you would subtract 16 from both sides of the = sign. 38-16 is 22 and you divide that by 6 and you get x
Two Parallel lines are intersected by a transversal /1 and /2 are alternate exterior angles. The measure of /1 is (5x - 16) the measure of /2 is (4x-2) what is the measure of each angle?
A.m/1=m/2=46
B.m/1=94 and m/2=86
C.m/1=m/2=54
D.m/1=m/2=70
Answer:
C. m/1=m/2=54
Step-by-step explanation:
these two angles are equal hence:
5x-16=4x-2=-16+2 =-14
4x-5x=-x
-x=-14=x=14
then you substitute the value of 'x' with 14
therefore:(5×14-16)=54
(4×14-2)=54
m/1=m/2=54
Which is the value of this expression when x = negative 2 and y = negative 3?
10 x cubed y squared
Answer:
-720
Step-by-step explanation:
Took the quiz and got it right, the dude above me is wrong
Please make me the Brainliest!!!
se the drawing tool(s) to form the correct answer on the provided graph.
A barrel in Jim's yard contains 60 gallons of water. Water leaks out of the barrel at a rate of 1 gallon every 10 minutes.
Create and graph the solution set of the equation for the gallons of water, y, remaining in the barrel in terms of the number of minutes elapsed, x
Answer:
it will take 10 hours for the barrel to empty out
Step-by-step explanation:
Read the following scenarios. For each scenario you need to decide which of the following four methods is appropriate.
A. One sample t test
B. Paired samples t test
C. Independent samples t test
D. One-way analysis of variance (ANOVA)
1. A shareholders' group suspects that the mean tenure of corporate chief executive officers (CEO) is significantly greater than the 5 years that CEO supporters claim. The group has hired a statistician who is using information on tenure of the last retired CEO in a sample of 30 corporations to test this claim.
2. All employees in a firm have recently received professional development training that is designed to improve their productivity. A manager wants to know whether or not the post-training productivity differs significantly across low-, medium-, and high-education employees.
3. A computer manufacturer has designed twenty-three prototype microcomputer central processing unit chips, and is using a sample of 506 computers (22 computers carrying each prototype) to evaluate whether the mean processing time differs significantly across the twenty-three prototypes.
4. In a blind taste experiment a group of potential customers were asked to rate the taste of two different coffee brands on a scale of 0 to 10. The experimenter wants to know whether or not on average the ratings differ for the brands.
5. A bank manager wants to know whether or not the average waiting time for bank customers is significantly different between two local branches of that bank.
6. A national auto dealers association claims that the mean price of a used car is $9,987. A used car dealership manager located in the City of Baltimore wants to test this claim using a sample of 45 cars currently parked at the dealership.
7. A computer manufacturer has discovered a method to improve performance of existing CPU chips by coating those chips with a fine layer of a special patented chemical. The manufacturer wants to test the effectiveness of this method in two groups of similar computers. The CPU chips in only one group have received a coating of the special chemical.
8. A computer manufacturer has discovered a method to improve performance of existing CPU chips by coating those chips with a fine layer of a special patented chemical. The manufacturer wants to test the effectiveness of this method in a sample of 54 computers by observing CPU performance before and after applying the coating.
9. A local landscaping business owner wants to test the hypothesis that the mean tree planting time differs significantly from 2 hours for her employees.
10. An educator wants to test the hypothesis that average SAT score in the population is the same in Belgium, Denmark, and Netherlands.
11. Using random state-level household samples, a social scientist wants to know whether or not the mean household size is the same across 50 states in the U.S.
12. It has been claimed that average nursing salaries in Milwaukee, Wisconsin are lower than those in Pittsburgh, Pennsylvania. A medical professional wants to test this claim using a sample of salaries from the two cities.
13. A student government representative at a mid-sized East Coast university wants to test the mean difference in GPA at the beginning and end of the freshman year using a sample of 89 undergraduate students.
14. All employees in a firm have recently received professional development training that is designed to improve their productivity. The training provider claims that such training increases employee productivity by 10%. A firm manager has obtained estimates of change in productivity for 32 employees who received the training, and wants to test the training provider's claim.
the average person takes about 30,000 breaths per day. express this number as a single digit integer times a power of 10
Answer:
3 * 10^4
Step-by-step explanation:
Answer:
3*10^4Step-by-step explanation:
Given
Number 30000Express in scientific notation
30000 =3*10000= 3*10^4