please write a function for the points (1/3,0) (-2 3/4,0) and (0,-5) and explain the steps.
thank you!
The function for the points are y = -15x - 5
How to determine the functionFrom the information given, we have that;
The points are;
(1/3,0) (-2 3/4,0) and (0,-5)
Using the point-slope form of a linear equation, we have;
y - y₁ = m(x - x₁)
Such that;
m is the slope of the liney - y₁ and (x - x₁) are the pointsUsing (1/3, 0) and (0, -5), we have that the slope is;
m = (0 - (-5))/0 -1/3)
expand the bracket
= 5 / (-1/3)
= -15
Now, take any of the given points and substitute the values
Using (1/3, 0), we get;
y - 0 = -15(x - 1/3).
y = -15x - 5.
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The function for the points solved by (1/3,0) (-2 3/4,0) and (0,-5) solved by point slope form is \(a=-15b-5\)
We have given the points:
(1/3,0) (-2 3/4,0) and (0,-5)
Using the formula of linear equation
\(a-\)\(a_{1}\)\(=x[b-b_{1}]\)
Where we will consider (1/3,0) = \(a-a_{1}\) and (0,-5) = \(b-b_{1}\)
that is 1/3 = \(a\), 0 = \(a_{1}\) and
0 = \(b\), -5 = \(b_{1}\)
\(x\) refers to the slope of line (take any variable)
Now for finding the value of \(x\),
\(x=a-a_{1}/b-b_{1}\)
inserting the values,
\(x=[0-[-5]]/[0-1/3]\\x= -15\)
Substitute the value of \(x\) in the equation
\(a-0=-15[b-1/3]\)
By simplifying the equation, we get
\(a=-15b-5\)
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given these dimensions, what is the area of the trapezoid, base 5, base 3, height 3
Answer:
12
Step-by-step explanation:
5+3=8
then
8÷2=4
then
4×3=12
Answer:
12
Step-by-step explanation:
(explanation please so i can understand)
Triangle JKL has vertices at J(−1, −5), K(−2, −2), and L(2, −4). Determine the translation direction and the number of units of the image of triangle JKL if vertex J′ is at (−1, −8).
3 units down
3 units up
7 units to the right
7 units to the left
Answer:
3 units down
Step-by-step explanation:
J(-1, -5) → J'(-1, -8)
The x coordinate of the vertex J is -1 and does not change in J' (it is still -1)
The y coordinate of J is -5, and for J' is -8. This means the translation direction of 3 units down. (-8- -5 = -3)
just if someone gets this question!!
Answer:
You selected the correct answer.
Step-by-step explanation:
Hey y’all, anyone could help me with this one bit? (Can’t use decimals.)
Answer:
7 14 21 35
3 6 9 15
not decimals for every 3 cat 7 dog
Step-by-step explanation:
so, you take 7+7 to get 14 then just repeat 14+7 = 21
3+3 6
and for 35 just take 35 divided by 7 * 3 to get 15
i learned this last year
hope this helps
Which word best describes the degree of overlap between the two data sets?
PLEASE HURRY!!!!! Which statement describes the situation shown in the graph?
Answer:
Sales increase with a decrease in the price.
Step-by-step explanation:
Please help ASAP! -screenshot-
Brainlist 2 correct answers!
Answer:
P(not blue) = 1 - P(blue) = 1 - 10/50 = 40/50
= 4/5
P(2) = 5/20 = 1/4 = 25%
When they were younger, Mrs. Corlett's sons shared a trampoline. To separate their play space, she decided to paint a line from one side to the other, across the center of the mat. The safety net that ran around the outside
edge of the circular trampoline measured 66 yards.
a. What was the length, in yards, of the painted line rounded to the nearest whole number?
b. What is the area of the mat?
Answer:
140 yards
Step-by-step explanation:
You times all the items then divide by 2
area of the mat should be 60
Show all work to solve these system of equations algebraically.
y = x - 1
y = x2 + 2x - 3
i need help on these four questions. its finding the experimental probablility of an event. and i dont need the work just the answers. hurry this is due really soon!!!!!
Answer: .28, .16, 0, .34
Step-by-step explanation:
help look at the pic and if u n the rest of the answers to this tell meeeee plz i will make it worth ur while UwU
Answer:
are not
Step-by-step explanation:
(REPLY FOR EXTRA POINTS) School hack:
If you have a question something like this: "Determine which integer makes the inequality 6(n − 5) < 3(n + 4) true."
The answer would most likely be the last answer choice.
This is because when teachers create the question they put it as the last one to make you work out all of the firsts ones first so you can do more work which means more practice.
I'm not 100% sure, but I had a question like this and the answer was the last one.
Hope this school hack helps!! :)
Answer:
Or you could just solve for n and pick the choice that matches what you got :)
Step-by-step explanation:
What is the median number of run scores
since 4pm ill give brainleist pus thanks and 5 star
Answer:
The Median is 6.
Step-by-step explanation:
1. Write down all the numbers in one line
2. Find the two numbers in middle (6,6)
3. Add and divide by 2
4. Answer is 6
Answer:
the median is 1.5
Step-by-step explanation:
medium is a number which is in the middle when you arrange a set of numbers from least to greatest
1,1,1,2,3,4
there are 2 middle numbers in here - 1 and 2 so you add the together and then divide by 2.
1 + 2 = 3 divided by 2 = 1.5
Shelly is asked to put parentheses in the equation
14−8−5+6×2=23 so that it is true.
Choose the correct expression.
A. 14−8−(5+6)×2=23
B. 14−(8−5)+6×2=23
C. 14−8)−(5+6)×2=23
D. 14−(8−5+6)×2=23
Answer:
C)(14-8)-(5+6)×2=23
using bodmas
Please help me
A triangle with vertices A(2, -2), B(-1, -1) and C(0, 2) is reflected across the y-axis and then dilated by a factor of 3 with the origin as the center of dilation.
What is the x-coordinate of the A''?
-2
2
-6
-4
Answer:C-6
Step-by-step explanation:(2,-2) reflected over X would be (-2,2). Then dilate by 3 which you multiply by 3. So -2 x 3 = -6.
Hope it helps !
Can you guys help me solve A=1/2ℎ(b1+b2)?
So dividing by 1/2 the same thing as multiplying by the reciprocal. So. I have B 1 plus B 2 equals 2a over H. And I want to solve for B 1 so I just subtract B subscript.
Can someone help pls and thank you
Answer:
0.70
Step-by-step explanation:
you add up the numbers for red green and purple. Then you add all of the numbers together separately. Then you take the number you got after you added red green and purple and divide it by the number you got when you added them all together. Then you round your decimal to the nearest hundredth.
Please help! And please put the number of the photo question you’re answering thanks! ✨ extra points to people who answer all three and brainiest ✨
Answer:
28cm^2
Step-by-step explanation:
Im pretty sure thats the answer
A. 28 CM
B. 17 FT?
C. 36.7 YD?
Please help asap and explain how you did it! Tysm!!♡♡
Answer:
5
Step-by-step explanation:
The points have a distance of 5 away from eachother
How to solve this? WILL GIVE BRAINLIEST
Please help asap and explain how. Tysm!!♡
Answer:
Step-by-step explanation:
a = \(\sqrt{12^2 -9^2} = \sqrt{144-81} = \sqrt{63}\)
We use the minus because we are searching a leg.
A leg is always shorter than the hypotenuse
Answer:
a = 7.9 or a = √63
Step-by-step explanation:
a² + b² = c²
(The two shorter sides of a triangle are always a and b while the longer side will always be c)
So, here the longer side of this triangle is 12 and the shorter sides are 9 and a (unknown).
The equation is: a² + 9² = 12²
But to find the value of a, the formula will be 12² - 9² = a²
12² - 9² = a²
144 - 81 = a²
63 = a²
the square root of 63 = 7.9 so that means a = 7.9
Question below, URGENT!!
Sorry it’s out of order.
A carnival has a duck-pond booth. You choose a rubber duck at random. The mark on the bottom of the duck tells you whether you won a small, medium, or large prize, or no prize at all. There are 73 ducks floating in the pond. There are 5 ducks marked as large-prize winners, 11 ducks marked as medium-prize winners, and 24 ducks marked as small-prize winners. Find the theoretical probability of winning a medium prize at the duck pond. Express your answer as a decimal. If necessary, round your answer to the nearest thousandth.
Let's break down this problem step by step.
First, let's understand what's happening here. There's a carnival game where you can pick one duck from a pond. Each duck has a mark under it that might make you a winner of a prize. Some ducks are marked with large prizes, some with medium, some with small, and the rest don't win you any prize.
The total number of ducks in the pond is 73.
Out of these 73 ducks:
- 5 are marked for a large prize,
- 11 are marked for a medium prize,
- 24 are marked for a small prize.
We are asked to find the theoretical probability of picking a duck that has a medium prize mark. The theoretical probability is basically a fraction that compares the number of ways something can happen with the total number of outcomes.
Here, the number of ways you can win a medium prize is equal to the number of ducks that have a medium prize mark, which is 11.
The total number of outcomes is just the total number of ducks you can choose from, which is 73.
The probability (P) of winning a medium prize is then:
P(medium prize) = (Number of medium-prize ducks) / (Total number of ducks)
= 11/73
To convert this fraction to a decimal, simply divide 11 by 73:
= 11 ÷ 73
≈ 0.1507 (rounded to the nearest thousandth)
So, the probability of winning a medium prize at the duck pond is about 0.151 or 15.1%. Imagine, for every 100 ducks you pick (if there were that many), about 15 of them would win you a medium prize.
The theoretical probability of winning a medium prize at the duck pond is ≈ 0.150
To find the theoretical probability of winning a medium prize at the duck pond, we need to determine the ratio of the number of medium-prize-winning ducks to the total number of ducks in the pond.
The total number of ducks in the pond is given as 73.
The number of medium-prize-winning ducks is given as 11.
Therefore, the probability can be calculated as follows:
Probability of winning a medium prize = (Number of medium-prize-winning ducks) / (Total number of ducks)
Probability of winning a medium prize = 11 / 73
To express the answer as a decimal, we divide 11 by 73:
Probability of winning a medium prize ≈ 0.150
Rounded to the nearest thousandth, the theoretical probability of winning a medium prize at the duck pond is approximately 0.150
To better understand how to find theoretical probability of winning medium prize at the duck pond:
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Rewrite the expression c + 0.25c as a single term with a fractional coefficient.
please help (No spam) (No stu-pid answers please)
Answer:
5c/4
Step-by-step explanation:
c = c × 1
0.25c = 0.25c × 1
c + 0.25c
Take " c " common.
= c × (1 + 0.25)
= c × 1.25
Convert 1.25 into a simpler fraction
1.25
= 125/100
= 5/4
c × 1.25
= c × 5/4
= (c × 5)/4
= 5c/4
The fractional coefficient is (5c/4)
What is a coefficient?A coefficient is a number or any symbol representing a constant value that is multiplied by the variable of a single term
Given:
\(\sf c+0.25c\)
\(\sf =(1+0.25)c\)
\(\sf =(1.25)(c)\)
\(\sf =1.25c\)
\(\sf =\dfrac{125}{100}\)
\(\sf =\dfrac{5}{4}\)
\(\sf =\dfrac{5c}{4}\)
Hence the fractional coefficient is (5c/4)
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Prime Factorization- Figure out all of the variables to make the factor tree true.
On a trip to Italy, Chandra traded her U.S. dollars for Euros, based on the graph below. Based on the graph, what is the unit rate of Euros per dollar?
A.
1.40 Euros per U.S. dollar
B.
1.20 Euros per U.S. dollar
C.
1.30 Euros per U.S. dollar
D.
1.10 Euros per U.S. dollar
Pls help! Will give brainliest!!
Considering area (A) of garden as 30 square feet:
30 = x(2x+7)
Now we need to expand it:
x(2x+7) = 2x^2 + 7x
2x^2 + 7x = 30
Adding this into an Algebra calculator gives us 5/2 or 2.5
So x = 2.5
To prove this:
2(2.5) + 7 = 12
14 * 2.5 = 30
A gym charges $8 for each swimming class and a one-time registration fee of $12 to join the the gym. A student pad a total of $60. How many swim classes did the student take. The equation that represents this situation is : _____(use 's' to represent each swim lesson and do not put any spaces in your equation)
The number of swim classes taken is ______.
Answer:
60=8s+12
# of swimming lessons taken- 6
When tossing a two-sided, fair coin with one side colored red and the other side colored green, determine P(green).
2
one half
green over red
red over green
Answer:
one half
Step-by-step explanation:
Total number of outcomes = 2
Event of obtaining green = 1
Probability of obtaining green= one half
The solution is Option B.
The probability of getting green P ( green ) = 1/2
What is Probability?The probability that an event will occur is measured by the ratio of favorable examples to the total number of situations possible
Probability = number of desirable outcomes / total number of possible outcomes
The value of probability lies between 0 and 1
Given data ,
Let the probability of getting a green while tossing a coin be P ( green )
Now , the total number of colors in the coin = { red , green } = 2
The probability of getting a green = green / total number of colors in the coin
Substituting the values in the equation , we get
Probability of getting a green while tossing a coin P ( green ) = 1/2
Probability of getting a green while tossing a coin P ( green ) = 0.5
Therefore , the value of P ( green ) is 1/2
Hence . the probability is 1/2
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