The slope of the line below is - Write a point-slope equation of the line
using the coordinates of the labeled point.
Answers
Answer:
[tex]y +9 = -4(x - 4)[/tex]
Step-by-step explanation:
Given
[tex]m = -4[/tex] --- slope
[tex](x_1,y_1) = (4,-9)[/tex] --- point
See attachment for complete question
Required
Determine the line equation
This is calculated as follows:
[tex]y - y_1 = m(x - x_1)[/tex]
Substitute values for m, x1 and y1
[tex]y - (-9) = -4(x - 4)[/tex]
Simplify the expression on the left-hand side:
[tex]y +9 = -4(x - 4)[/tex]
Related Questions
If the expected value (the mean) of successes in a binomial experiment of 100 trials is 55. Which of the following are not true?Let x = the no. of successes of the 100 trials. Then P(s) = p = 55/100 = 0.55The standard deviation of the binomial distribution is approximately σ = √(npq) = √(100x0.55x0.45) ≈ 4.97The probability distribution of x = B(100, 0.55) can be approximated by N(55, 4.97)a) I onlyb) II onlyc) I and IId) All of the statements are true
Answers
Answer:
All of the statements are true
Step-by-step explanation:
Given that :
Number of trials (n) = 100
Expected number of successes = 55
The number of successes of the 100 trials :
Number of successes / number of trials = 55 / 100 = expected number of successes / n = 55/ 100 = 0.55
Using Normal approximation :
Standard deviation (σ) = √(npq) ; q = 1 - p = 1 - 0.55 = 0.45
σ = √(100 * 0.55 * 0.45) = √24.75 = 4.975
The probability distribution of x = B(n, p) = x = B(100, 0.55)
Using approximation ; N(p, σ) = N(55, 4.97)
Hence, All of the statements are true
Two families buy large sandwiches of the same size. Family A shares one sandwich equally among 4 people. family B shares one sandwich equally among 2 people. Will a person from Family A get the same amount or a different amount of a sandwich as a person from family B?
there's a drawing of 4 squares to represent the 4 ppl
Answers
Answer:
Different Amount
Step-by-step explanation:
4 is more than 2 and there would need to be 2 sandwiches in family a in order for them to be equal
Which point is located at 2 7/10?
Answers
Answer:
C
there are 10 spaces in between 2 and 3, so you just count up to it
A jar of 150 jelly beans contains 22 red jelly beans, 38 yellow, 20 green, 28 purple, 26 blue, and the rest are orange.Let B = the event of getting a blue jelly beanLet G = the event of getting a green jelly bean.Let O = the event of getting an orange jelly bean.Let P = the event of getting a purple jelly bean.Let R = the event of getting a red jelly bean.Let Y = the event of getting a yellow jelly bean.What is the probability of drawing a red jelly bean in the first draw WITHOUT replacing the red jelly bean, then choosing a blue jelly bean in the second draw?Use 4 decimal places for this problem. Do not round your answers for intermediate steps, only for the final answer.
Answers
Answer:
[tex]P(R\ and\ B) = 0.0256[/tex]
Step-by-step explanation:
Given
[tex]Red = 22[/tex]
[tex]Yellow = 38[/tex]
[tex]Green = 20[/tex]
[tex]Purple = 28[/tex]
[tex]Blue = 26[/tex]
[tex]Orange = 16[/tex]
Required
Determine the probability of red then blue jelly? i.e. P(R and B)
From the question, we understand that the red jelly bean was not replaced. This means that the number of jelly beans reduced by 1 after the picking of the red jelly bean
So, we have:
[tex]P(R\ and\ B) = P(R)\ and\ P(B)[/tex]
This is then solved further as:
[tex]P(R\ and\ B) = P(R)\ *\ P(B)[/tex]
[tex]P(R\ and\ B) = \frac{n(R)}{Total}\ *\frac{n(B)}{Total - 1}[/tex]
The probability has a denominator of Total - 1 because the number of jelly beans reduced by 1 after the picking of the red jelly bean
The equation becomes:
[tex]P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{150- 1}[/tex]
[tex]P(R\ and\ B) = \frac{22}{150}\ *\frac{26}{149}[/tex]
[tex]P(R\ and\ B) = \frac{22*26}{150*149}[/tex]
[tex]P(R\ and\ B) = \frac{572}{22350}[/tex]
[tex]P(R\ and\ B) = 0.02559284116[/tex]
[tex]P(R\ and\ B) = 0.0256[/tex]
A rectangle piece of land is 400m*150m.Find the cost of the piece of land if one square meter of land costs ₹15,000.
Answers
Answer:
900000000
Step-by-step explanation:
Area=400×500
=60000m²
Since
1m² = 15000
60000m² = x
x = 60000×15000
x = 900000000
Which value, when placed in the box, would result ina system of equations with infinitely many solutions?
y=-2x + 4
6x + 3y = O
-12
-4
4
12
Answers
Answer:
-4
Step-by-step explanation:
700 in standard form
Answers
Answer:
7 × 10²
Step-by-step explanation:
→ The first digit has to be above 1 and below 10
TASK
#18 MILK AND COOKIES
Santa wants to serve milk and cookies to all
of the elves on Christmas Eve. He has already
ordered cookies, but still needs to decide how
much milk to order
Each elf will get a 1
cup of milk. If there
are 328 elves, how
many quarts of milk
need to be ordered?
Answers
Answer:
1312 quarts
Step-by-step explanation:
1 cup = 4 quarts
328 ^ 4 = 1312
Answer:
82 quartsStep-by-step explanation:
Each elf gets 1 cup of milk
Number of elves = 328
1 quart = 4 cups ⇒ 1 cup = 1/4 quart
Required volume of milk is:
328 cups = 328*1/4 quarts = 82 quarts82 quarts of milk to be ordered
help this should be simple
Answers
How do I Solve 2-V=17
Answers
Answer:
solution
-V=17-2
-V=15
Marshall is comparing introductory rates for two different video streaming services. He can pay $22.50 for the first 3 months with Watch It Now, or he can pay $43.50 for the first 6 months with Megaflicks. Which service's introductory rate is a better deal?
Answers
Answer:
megaflicks would be the better deal
Step-by-step explanation:
22.50 divided into 3 months would be 7.50
43.50 divided into 6 months would be 7.25
Meaning that you'd pay less every month with megaflicks.
Answer:
MEGA FLIX
Step-by-step explanation:
Kamal spent 40% of his income. He
deposited Rs. 400 in a bank and
was left with Rs. 500. What is his
income?
(a) Rs. 1200
(b) Rs. 1450
(c) Rs. 1500
(d) Rs. 1680
an
Answers
Answer:
(c) Rs. 1500
Step-by-step explanation:
Percentages
It's given Kamal spent 40% of his income. With the remaining 60%, he deposited Rs. 400 in a bank and still has Rs. 500 left.
This means Rs. 400 + Rs. 500= Rs. 900 is 60% if his income.
The 100% of his income is calculated as a percent proportion:
If 60% is Rs. 900, then 100% is:
[tex]\displaystyle \frac{900}{60}*100=1500[/tex]
Thus, Kamal's income is Rs. 1500. Correct choice: (c) Rs. 1500
FIND THE LCD FO 3/4 AND 7/9
Answers
Answer:
The LCD is 36.
Step-by-step explanation:
3/4 = 3/4 × 9/9 = 27/36
7/9 = 7/9 × 4/4 = 28/36
Select Is a Function or Is not a Function to correctly classify each relation.
{(3, 2),(6, 4),(9, 6),(12, 8)}
{(2, 3),(2, 5),(3, 6),(9, 4)}
{(2, 4),(6, 3),(4, 8),(6, 6)}
{(3, 4),(5, 2),(6, 8),(6, 4)}
Which ones are functions and which ones aren't?
Answers
Answer:
first is a function second third ad fourth arent function
Step-by-step explanation:
In mathematics, a function is represented as a rule that produces a distinct result for each input x. In mathematics, a function is indicated by a mapping or transformation. Typically, these functions are identified by letters like f, g, and h. The collection of all the values that the function may input while it is defined is known as the domain. The entire set of values that the function's output can produce is referred to as the range. The collection of values that could result in a function's outputs is known as the co-domain.
Given:
As, we know the relation is said to be a function if we have distinct inputs.
If the inputs are repeated then it is not a function.
So, {(3, 2),(6, 4),(9, 6),(12, 8)} is a function.
Also, {(2, 3),(2, 5),(3, 6),(9, 4)} is not a function.
{(2, 4),(6, 3),(4, 8),(6, 6)} is not a function.
{(3, 4),(5, 2),(6, 8),(6, 4)} is not a function.
Learn more about function here:
https://brainly.com/question/13956546
#SPJ2
Moving the decimal point to the right 4 places in a number is the same as?
Answers
Answer:
0^4
Step-by-step explanation:
lets say the number is 1.0 if you where to move the decimal to the right 4 place the number would then be 10,000.0. basically if it says 10^4 add 4 0's
Answer:
it is 10^4
Step-by-step explanation:
Which number line shows the solution of -5 + 10 > -15?
Answers
Last year Hank cashed out his investment account that earned 4.5% simple interest after 10 years
of investing. He ended up with $350 in interest on the account. How much was his initial investment?
Show your work
I=
P=
R=
T=
Answers
Answer:
Initial investment= $777.78
Step-by-step explanation:
Giving the following information:
Last year Hank cashed out his investment account that earned 4.5% simple interest after 10 years of investing. He ended up with $350 in interest on the account.
To calculate the principal (initial investment), we need to use the following formula:
I= P*r*t
I= $350
r= 0.045
t= 10
P= ?
350= P*0.045*10
350/0.45 = P
$777.78= P
You’ve been saving your money to buy a guitar. You have 3 ten-dollar bills, 8 five-dollar bills, and 26 one-dollar bills. You also have 47 quarters, 105 dimes, 62 nickels, and 149 pennies. In addition, you have a check for $25.00, which is a gift from a relative. You decide to deposit this money in your savings account. How much is your total deposit?
Answers
Answer: $147.84
I had the same question and it is $147.84.
Answer:
$137.34 is your total deposit
Step-by-step explanation:
add all of the totals together
What is the slope of the line that passes through the points (8, 2) and (9,3)? Write
your answer in simplest form.
Answers
Answer:
1
Step-by-step explanation:
The formula for slope is [ y2-y1/x2-x1 ].
3-2/9-8
1/1
1
Best of Luck!
Miranda cuts grass (g) for $20 and hour and trims hedges (h) for $25 an hour. She is trying to make enough money during the summer to buy a car for $4200.
Which inequality represents the number of hours Miranda needs to cut grass and trim hedges.
Answers
Answer:
20g + 25h ≥ 4200
Step-by-step explanation:
Miranda needs nothing less than $4200 to but a car
Which of the following are like terms?
15y4,16y3
8y6, 6y8
16y2, 12y
13y25, 2y25
Answers
Answer: D) 13y^25 and 2y^25
Like terms involve the same variables, and each of those variables must have the same exponents.
Another example of a pair of like terms would be 5x^3y^2 and 7x^3y^2. Both involve the variable portion "x^3y^2" which we can replace with another variable, say the variable z. That means 5x^3y^2 becomes 5z and 7x^3y^2 becomes 7z. After getting to 5z and 7z, it becomes more clear we have like terms.
These points are linear. Find the slope.
Answers
Which term best describes the expression 2x + 2dy−3?
Monomial
Not a polynomial
Trinomial
Binomial
Answers
Answer:
the term is separated by minus (-) and plus (+) .
therefore this term is trinomial.
Mark me brainliest if satisfied with answer
if a human has 152 points then asks a question for 30 and then answers this one for 40 points. how many will he have after this?
show your work. ( or not idc )
Answers
Answer: 162
Work: 152 - 30 which equals 122, then add 40, and you get 162.
I hope this helps for something, and Happy Holidays! :)
Consider the function.
Which conclusions can be drawn about f–1(x)? Select two options.
Answers
Answer:
The function is being reflected
Step-by-step explanation:
When a function becomes negative it is being reflected
Answer:
C and E
f–1(x) has a y-intercept of (0, –36).
f–1(x) has a range of all real numbers.
Step-by-step explanation:
edge
Please help!!!!!!!!!!!
Answers
Answer:
Step-by-step explanation:
pounds / dollars =
You have to answer 2 questions.
1. Which axis are you reading first. Hint the question says pounds to dollars.
So you must be reading the x axis first. because it is pounds.
2. Where would the next point on the graph go.
You read along the x axis first. 25
then you read along the y axis. 20
The answer is 25,20 and that's where the next point goes.
find the missing value of the direct variation (2,5) (5,y)
Answers
Answer:
The missing value y=12.5 and we have (5,12.5)
Step-by-step explanation:
The formula used for direct variation is:
[tex]y\: \alpha \:x\\y=kx[/tex]
We need to find missing value (2,5)(5,y)
First we will find k, and then y
We have x=2, y=5
Find k:
[tex]y=kx\\5=k(2)\\k=\frac{5}{2}\\k=2.5[/tex]
Now, we cam find missing value in (5,y)
We have x=5, k=2.5 and y=?
[tex]y=kx\\y=2.5(5)\\y=12.5[/tex]
So, the missing value y=12.5 and we have (5,12.5)
Solve for X
5(3X-2)=5
Answers
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer,
Answers
Answer:
[tex]2[/tex]
Step-by-step explanation:
For this I would find two friendly points like (60,10) and (70,30). Now we will plug in for the slope-intercept formula [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex].
So...
[tex]y_2=30\\y_1=10\\x_2=70\\x_1=60[/tex]
Now we plug in and solve...
[tex]m=\frac{y_2-y_1}{x_2-x_1}\\m=\frac{30-10}{70-60}\\m=\frac{20}{10}\\m=\frac{2}{1}=2[/tex]
So the slope will be 2.
Four runners are training for long races. Noah ran 5.123 miles, Andre ran 6.34 miles, Jada ran 7.1 miles, and Diego ran 8 miles.
What is the total running distance of the four runners?