Which choices are equations for the line shown below? Check all that apply.
(-2, 4)
(1-2)
Answers
Answer:
A, C and F.
Step-by-step explanation:
Equation of a line:
The equation of a line has two formats:
[tex]y = mx + b[/tex]
Slope-intercept format, in which m is the slope and b is the y-intercept(which is the value of x when y = 0).
And in point-slope form:
[tex]y - y(0) = m(x - x(0))[/tex]
In which (x(0),y(0)) is the point and m is the slope.
Slope:
When we have two points on a line, the slope is given by the change in y divided by the change in x. We have points (-2,4), (1,-2). So
Change in y: -2 - 4 = -6
Change in x: 1 - (-2) = 1 + 2 = 3. So
m = -6/3 = -2.
Equation in slope-intercept:
The y-intercept is y = 0, so b = 0. The equation in slope-intercept formula is:
[tex]y = -2x[/tex], so option A is marked.
Equation if point-slope:
Point (-2,4) means that [tex]x_0 = -2, y_0 = 4[/tex]. So
[tex]y - y(0) = m(x - x(0))[/tex]
[tex]y - 4 = -2(x - (-2))[/tex]
[tex]y - 4 = -2(x + 2)[/tex]
So option C is correct.
Point (1,-2) means that [tex]x_0 = 1, y_0 = -2[/tex]. So
[tex]y - y_0 = m(x - x(0))[/tex]
[tex]y - (-2) = -2(x - 1)[/tex]
[tex]y + 2 = -2(x - 1)[/tex]
So option F is correct.
Answer:
Options A, C and F are correct.
Related Questions
Corrie is 5 inches taller than Jason who is 4 ft. 9 in. Jennifer is
8 in, shorter than Corrie. How tall are Corrie and Jennifer?
(Express answers in simplest terms.)
Corrie___________.
Jennifer ___________.
Answers
Answer:
see below
Step-by-step explanation: 5 27 6 46
Corrie is 5 inches taller than Jason who is 4 ft. 9 in
Corrie must be 4 ft. 9 in + 5 in. = 5 ft. 2 in or convert ft to inches and add
[4(12) + 9] + 5 = 62 62/12 = 5 ft. 2 in.
Jennifer is 8 in, shorter than Corrie so Corrie is (5 - 8) inches (-3) inches taller than Jason or 3 in. shorter than Jason
Jennifer is 4 ft. 9 in - 3 in. = 4 ft. 6 in
You answered 85% of the questions on the quiz correctly. What fraction of
the questions did you answer correctly?
Answers
Answer:
A percentage is out of 100.
85/100
in lowest terms this is
17/20
Hope this helps :)
Step-by-step explanation:
Drag the tiles to the boxes to form correct pairs.
Match the values associated with this data set to their correct descriptions.
{6, 47, 49, 15, 43, 41, 7, 36}
First quartile, 11
Median, 45
Third quartile, 38.5
Difference of largest value and median, 10.5
Answers
Answer:
Step-by-step explanation:
alguem me ajuda
por favor
Answers
Answer:
sorry I'm confused boy sorryy
GUYS PLEASE HELP ALMOST DUE
Answers
Answer:
1/5
Step-by-step explanation:
y = 12
12 = 1/5 x 60
12= 12
y = 9
9 = 1/5 x 45
9 = 9
and so on and it always results to one fifth
X 4) Find the product of 4 x 2 3/4. 18 3/4 O 7 1/2 11 O 14
Answers
9514 1404 393
Answer:
11
Step-by-step explanation:
4 × (2 3/4) = 4×2 + 4×(3/4) = 8 + 3 = 11
or
4 × (2 3/4) = 4 × 11/4 = 11
How can you rewrite -8 − 10 as an addition problem?
A
-8 + (-10)
B
-8 + 10
C
-8 + 18
D
-8 + (-18)
Answers
Answer:
A
Step-by-step explanation:
-8 + (-10) = -8 -10
A snail can travel 390 inches in 5 hours.
How far does it travel in 1 hour?
Answers
Answer:
78 inches
Step-by-step explanation:
5 hours = 390 inches
1 hour = 390 / 5
1 hour = 78 inches
Therefore the snail travels 78 inches in 1 hour.
Hope this helps!
Mrs. Smith decides to buy three sweaters and a pair of Jeans. She has $129 in her wallet.
If the price of the Jeans Is $40.05, what is the highest possible price of a sweater, each sweater is the
same price?
Variable:
Equation:
Solution:
Answers
Answer:
Step-by-step explanation:Herely/3fcEdSx's li[tex]^{}[/tex]nk to the answer:
bit.[tex]^{}[/tex]
50 PTS AND BRAINLIEST FOR CORRECT ANSWER
Answers
Answer: I asked my teacher, she said it is c
Step-by-step explanation:
Answer:
yes it's c
have a great day
The area of a rectangle is 14 in. The length of one side is 7 in. What is its perimeter?
Answers
Answer:
The answer is 18
hope this helps
have a good day :)
Step-by-step explanation:
Answer:
The perimeter of the rectangle =18 in
Step-by-step explanation:
Given, Area of rectangle= 14 in
Length(l) of one side = 7 in
We know,
Area = lxb
or, 14 = 7xb
or, b = 2 in
then the perimeter of the rectangle = 2x(l+b)
= 2x(7+2)
= 2x9
=18in
pls pls i need the answer and A REALLY GOOD EXPLANATION pls pls
Answers
Answer:
15/50 will be your answer 30%
Step-by-step explanation:
First add them all up.
Then you want to make a simple equation
15/50
Answer:
30%
Step-by-step explanation:
15+10+2+20+3 = 50
therefore 15 is 30% of 50
Suppose you are investigating the relationship between two variables, traffic flow and expected lead content, where traffic flow is a predictor of lead content. You find the 95% CI for expected lead content when traffic flow is 15, based on a sample of n= 10 observations, is (461.7, 598.1).
Required:
What parameter is this interval estimating?
Answers
Answer:
The answers is " Option B".
Step-by-step explanation:
[tex]CI=\hat{Y}\pm t_{Critical}\times S_{e}[/tex]
Where,
[tex]\hat{Y}=[/tex] predicted value of lead content when traffic flow is 15.
[tex]\to df=n-1=8-1=7[/tex]
[tex]95\% \ CI\ is\ (463.5, 596.3) \\\\\hat{Y}=\frac{(463.5+596.3)}{2}\\\\[/tex]
[tex]=\frac{1059.8}{2}\\\\=529.9[/tex]
Calculating thet-critical value[tex]t_{ \{\frac{\alpha}{2},\ df \}}=-2.365[/tex]
The lower predicted value [tex]=529.9-2.365(Se)[/tex]
[tex]463.5=529.9-2.365(Se)\\\\529.9-463.5=2.365(Se)\\\\66.4=2.365(Se)\\\\Se=\frac{66.4}{2.365} \\\\Se=28.076[/tex]
When [tex]99\%[/tex] of CI use as the expected lead content: [tex]\to 529.9\pm t_{0.005,7}\times 28.076 \\\\=(529.9 \pm 3.499 \times 28.076)\\\\=(529.9 \pm 98.238)\\\\=(529.9-98.238, 529.9+98.238)\\\\=(431.662, 628.138)\\\\=(431.6, 628.1)[/tex]
Which numbers are irrational? Select all that apply.
Answers
Answer:
I believe Option 1, 2 and 4 are all irrational numbers Hope this helps
Step-by-step explanation:
23
A university administered a survey to all incoming students regarding living arrangements for the upcoming school year. The results of the survey are displayed in the following two-way relative frequency table.
University Living Arrangements
On-Campus Off-Campus Total
Freshmen 0.44 0.28 0.72
Transfer Students 0.21 0.07 0.28
Total 0.65 0.35 1
What percentage of incoming freshmen plan to live on-campus?
A.
61.11%
B.
67.69%
C.
56%
D.
44%
Answers
The probability of incoming freshmen who plan to live on-campus in percentage will be 61.11%. Then the correct option is A.
What is probability?Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.
A university administered a survey to all incoming students regarding living arrangements for the upcoming school year.
The results of the survey are displayed in the following two-way relative frequency table.
On-Campus Off-Campus Total
Freshmen 0.44 0.28 0.72
Transfer Students 0.21 0.07 0.28
Total 0.65 0.35 1
Then the probability of incoming freshmen who plan to live on-campus in percentage will be
P = (0.44 / 0.72) x 100
P = 0.6111 x 100
P = 61.11%
The probability of incoming freshmen who plan to live on-campus in percentage will be 61.11%.
Then the correct option is A.
More about the probability link is given below.
https://brainly.com/question/795909
#SPJ5
A radioactive substance decays to 30% of its original mass in 15 months. Determine the half-life of this radioactive substance to the nearest tenth. Show your work.
please help
Answers
Answer:
The half-life of this radioactive substance is of 8.6 months.
Step-by-step explanation:
Exponential decay of an amount:
The equation that models an amount after t units of time, subject to exponential decay, is given by:
[tex]A(t) = A(0)(1-r)^t[/tex]
In which A(0) is the initial amount and r is the decay rate, as a decimal.
A radioactive substance decays to 30% of its original mass in 15 months.
This means that [tex]A(15) = 0.3A(0)[/tex]. We use this to find 1 - r.
[tex]A(t) = A(0)(1-r)^t[/tex]
[tex]0.3A(0) = A(0)(1-r)^{15}[/tex]
[tex](1-r)^{15} = 0.3[/tex]
[tex]\sqrt[15]{(1-r)^{15}} = \sqrt[15]{0.3}[/tex]
[tex]1 - r = (0.3)^{\frac{1}{15}}[/tex]
[tex]1 - r = 0.9229[/tex]
So
[tex]A(t) = A(0)(0.9229)^t[/tex]
Determine the half-life of this radioactive substance to the nearest tenth.
This is t for which A(t) = 0.5A(0). So
[tex]A(t) = A(0)(0.9229)^t[/tex]
[tex]0.5A(0) = A(0)(0.9229)^t[/tex]
[tex](0.9229)^t = 0.5[/tex]
[tex]\log{(0.9229)^t} = \log{0.5}[/tex]
[tex]t\log{0.9229} = \log{0.5}[/tex]
[tex]t = \frac{\log{0.5}}{\log{0.9229}}[/tex]
[tex]t = 8.6[/tex]
The half-life of this radioactive substance is of 8.6 months.
7 x [(26 - 5) - (5 + 6)]
Answers
Answer:70x
Step-by-step explanation: FIND BY OWN
2(3x – _) = 6x + 8 Using the distributive property, what would go in the blank in order for the given statement to be correct?
Answers
Answer:
2(3x - (-4)) = 6x + 8
Step-by-step explanation:
2(3x - A) = 6x + 8
6x - 2A = 6x + 8
Equating constant terms on both sides :
-2A = 8
A = -4
Therefore, 2(3x - (-4)) = 6x + 8
Answer:
Step-by-step explanation:
2(3x-(-4))=6x+8
2*3x=6x
2*-(-4)=8
Negative times negative makes positive 4
Use the Empirical Rule. The mean speed of a sample of vehicles along a stretch of highway is miles per hour, with a standard deviation of miles per hour. Estimate the percent of vehicles whose speeds are between miles per hour and miles per hour. (Assume the data set has a bell-shaped distribution.)
Approximately % of vehicles travel between 61 miles per hour and 71 miles per hour.
Answers
Answer:
68%
Step-by-step explanation:
We observe that the mean of the sample is (61+71)/2 = 66 mph which means the standard deviation of the sample is 5 because 66-5=61 and 66+5=71. The Empirical Rule states that for data observed in a normal distribution, 68% of data will fall within one standard deviation of the mean. Therefore, approximately 68% of vehicles travel between 61 miles per hour and 71 miles per hour.
PLEASE ANSWER THIS
PLEASE URGENT WORK
I M CRYING
Answers
Answer:
b=69(alternate angle)
b=37(alternate angle)
Only please help #2,3,5, and 6
Answers
3)5.30/6= 0.88
5)3:4
6)a) 15:20 and to simply divide by 5 to get 3:4
b)the amount saved is 5 (20-15) so the first ratio is 5:20 and to simplify divide 5 to get 1:4
Answer:
3.$0.9
5.9:3 =3:1
Step-by-step explanation:
3.$5.40÷6=$0.9
Peter had $4.80 to spend at the store. He spent 1/3 of the money on a model car, 1 /4 of the
money on glue, 1/8 of the money on paint. He spent the rest on a hot dog and soda. How
much money did Peter spend on the ...
model car?_________.
glue?_____________.
paint?___________ .
hot dog and soda?________.
Answers
Answer:
model car?___$1.60______.
glue?_____$1.20________.
paint?_____$0.60______ .
hot dog and soda?___$1.40_____.
Step-by-step explanation:
model car: $4.80/3 = $1.60
glue: $4.80/4 = $1.20
paint: $4.80/8 = $0.60
hot dog & soda: $4.80 - $1.60 - $1.20 - $0.60 = $1.40
Someone please help me
Answers
Answer:
48
Step-by-step explanation: 1 foot is 12 inches. Since the feet are going up by ones, you can say 1=12, 2=24 (+12), 3=36(+12), 4=48(+12)
Hope this helps
Answer and Step-by-step explanation:
The answer is 48.
Each value of y is a multiple of 12, so for when there is 4 feet, you multiply 12 by 4 to get 48.
For when it is 1 foot, you multiply 12 by 1 to get 12.
For when it is 2 feet, you multiply 12 by 2 to get 24.
For when it is 3 feet, you multiply 12 by 3 to get 36
For when it is 5 feet, you multiply 12 by 5 to get 60.
If you were to continue, the y-values (aka the inches) will always be a multiple of 12.
#teamtrees #PAW (Plant And Water)
The zoo downtown has 9 times as many monkeys as elephants. They have 60 animals all together. How many elephants are there?
Answers
Answer:
6
Step-by-step explanation:
e = number of elephants
9 times as many monkeys as elephants
m = 9e
------------------------
60 animals all together
e + m = 60
e + 9e = 60
Combine like terms
10e = 60
Divide both sides by 10
e = 6
Answer: There’s technically no answer to this question, unless you specify that the zoo only has monkeys and elephants. If the zoo has more than two types of animal then the ratio doesn’t help because there are unknown variables.
However, if we knew that the zoo only has monkeys and elephants, then:
E = number of elephants
M = number of monkeys
M=9E
M + E = 60
9E+E= 60
10E = 60
E = 6
There are 6 elephants (and 54 monkeys).
In a standard deck of cards, what is the probability of drawing a face card followed by drawing a non-face card
Answers
Answer:
0.1771
Step-by-step explanation:
total number of cards in a deck : 52
number of face card per suite : 3
total number of suites : 4 (hearts, clubs, diamonds, spades)
3 * 4 = total number of face cards
12/52 = 0.23 = probability of drawing a face card
remaining card are non face cards
52-12 = 40
40 non face cards
40/52 = 0.77 = probability of drawing a non face card
probability of drawing a face card followed by a non face card
multiply probabilities together to find combined probability
probability of drawing a face card * probability of drawing a non face card
= 0.23 * 0.77
= 0.1771
Need help quick with full work
Answers
Answer:
(x + 5) and (x -1)
Step-by-step explanation:
Given
The attached graph
Required
The [tex]factors[/tex] of the graph
The x [tex]values[/tex] are where the [tex]curve[/tex] [tex]touches[/tex] the x-axis
The first is at:
[tex]x = -5[/tex]
Add 5 to both sides
[tex]x +5= -5+5[/tex]
[tex]x +5= 0[/tex]
This implies that the first factor is: (x + 5)
The second is at:
[tex]x =1[/tex]
Subtract 1 from both sides
[tex]x - 1 = 1 - 1[/tex]
[tex]x - 1 = 0[/tex]
This implies that the other factor is: (x - 1)
POSSIBLE POINTS 50
Mr Franklin needs to pay for his three kids to go to college. He figured out that college will cost an average of
$50,000 per year per child when they are ready to go to college. To pay for this, Mr. Franklin bought a cylindrical
gas truck, The truck is 40 feet long and the radius of the base is 60 inches, Gas has a density of five pounds per
cubic foot. Mr. Franklin makes $2.50 per pound of gas when he sends a delivery. How many trips of full tanks of
gas will Mr. Franklin have to send to pay for his three kids to go to four years of college each?
Be sure to label each step and show all work. Don't forget units.
a) Find the volume of the cylinder
b) Find the mass of the gas in one truckload by using the density formula
c) Find the amount of money one truckload will generate.
d) Find the amount of money four years of college will cost for Mr. Franklin's three children.
e) Find the amount of trips it will take Mr. Franklin to make enough money to pay for college,
5
x Clear
Und
Answers
Answer:
2500
Step-by-step explanation:
At the neighborhood block party, Hassan served 3 gallons of hot chocolate and 1/2 of a gallon of apple cider. How much more hot chocolate than apple cider did Hassan serve?
Write your answer as a fraction or as a whole or mixed number.
Answers
Answer:
2 gallons and 1/2
Step-by-step explanation:
You just have to subtract 1/2 from 3.
3 - 1/2 = 2 1/2
or
3 - .5 = 2.5
And 2 1/2 is how much more he served.
Answer: 5 times more hot chocolate
Step-by-step explanation:
Given that sec0=-37/12 what is the value of cot0, for Pi/2<0
Answers
Answer:
Step-by-step explanation:
12/35
8. True or False. The correlation coefficient is a measure of the strength of an
association between two variables.