What equation is being graphed?
A. y+5= -3/2(x-4)
B. y-5= -2/3(x+4)
C. y-5= -3/2(x+4)
D. y-4= -3/2(x+5)
Answers
Answer:
D. y-4= -3/2(x+5)
Step-by-step explanation:
Firstly, taking two valid ordered pairs from the graph:
(-2,4) and (2,-2)
Using Delta y over Delta x, we are able to obtain m as -3/2
Next,
The following is the point-slope formula:
y-y₁=m(x-x₁)
Based on the graph, (4,-5) can be spotted as a definite ordered pair
Therefore, y-4= -3/2(x+5) fits the graph best and has the appropriate m value.
Related Questions
Which graph represents the following system of inequalities ?
Answers
Answer:
It's the bottom one to the left
Step-by-step explanation:
Answer:
Bottom one to the end !
Step-by-step explanation:
Yessir
PLEASE HELP 100 POINTS!!! PLEASE DON'T ANSWER IF YOU DON'T KNOW!!
Alana and Kelsa are training for a marathon. To prepare for this marathon they have been training and tracking their progress periodically.
In the first week of training Alana ran an average of 20 minutes per mile. Later, in week seven of training she ran an average of 14 minutes per mile.
In the first week of training Kelsa ran an average of 15 minutes per mile. Later, in week five of training she ran an average of 13 minutes per mile.
Assuming that Alana and Kelsa continue to train and improve their times at the same rate your task is to determine which week they will have the same average minutes per mile. We will assume that the relationship is linear as they will be training for a maximum of 43 weeks. To complete this task follow the steps below.
1. Determine the equation of a line in standard form that represents Alana’s training progress. Her progress corresponds to the points (1, 20) and (7,14).
2. Determine the equation of a line in standard form that represents Kelsa’s training progress. Her progress corresponds to the points (1, 15) and (5,13)
3. Solve the system of equations (you must show all your work to receive full credit).
4. In which week will Alana and Kelsa have the same average minutes per mile?
5. If Alana and Kelsa continue to train until week 30, what will their times be?
6. Do you believe a linear model best represents the relationship of the time of the runners and the weeks that passed?(Hint: look at question 5). What do you think this says about problems in the real world? Justify your thoughts in 3-4 sentences.
Answers
Answer: Alana's training experience in (weeks, minutes per mile) is (1, 12) and (5, 6).
Kelsa's training experience is (1, 10), (11, 5).
Find:
A linear equation in standard form that describes Alana's experience
A linear equation in standard form that describes Kelsa's experience
A solution to the pair of linear equations
The week in which the number of minutes per mile is the same
Minutes per mile for Alana and Kelsa at week 25
Comment on the use of a linear model in this context
Solution:
Please note that in parts 1 and 2 a "standard form" linear equation has a positive leading coefficient and the numbers have no common factor.
1. A linear equation can be written from two points (x1, y1) and (x2, y2) as ...
... (y2 -y1)(x -x1) -(x2 -x1)(y -y1) = 0
Using the given points in order, this becomes
... (6-12)(x -1) -(5 -1)(y -12) = 0 . . . . above equation with values filled in
... -6x +6 -4y +48 = 0 . . . . . . . . . . eliminate parentheses
... 3x +2y -27 = 0 . . . . . . . . . . . . . divide by -2 to make x-coefficient positive
... 3x +2y = 27 . . . . . . . . . . . . . . . . Alana's training experience
2. In similar fashion, we can write the equation for Kelsa's experience.
... (5 -10)(x -1) -(11 -1)(y -10) = 0
... -5x +5 -10y +100 = 0 . . . . . . eliminate parentheses
... x +2y -21 = 0 . . . . . . . . . . . . . divide by -5
... x +2y = 21 . . . . . . . . . . . . . . . . Kelsa's training experience
3. We note that both equations have the term 2y, so we can subtract the second equation from the first to eliminate that term:
... (3x +2y) -(x +2y) = (27) -(21)
... 2x = 6 . . . . . . . simplify
... x = 3 . . . . . . . . divide by 2
... 3·3 +2y = 27 . . . substitute x=3 into Alana's equation
... 2y = 18 . . . . . . . . subtract 9
... y = 9 . . . . . . . . . . divide by 2
The solution is (weeks, minutes) = (x, y) = (3, 9).
4. The solution of part 3 tells us both have an average time of 9 minutes per mile in week 3 of training.
5. Substituting x=25 into the equations of parts 1 and 2, we get ...
... 3·25 +2y = 27
... y = (27 -75)/2 = -24 . . . . Alana's time per mile at week 25
... 25 + 2y = 21
... y = (21 -25)/2 = -2 . . . . . Kelsa's time per mile at week 25
6. A linear model makes no sense in this context. At some point a linear equation for minutes per mile will always have a value of 0. We know that marathon runners will never have a time of zero minutes per mile. Under the best of conditions, we expect training to improve time toward some asymptotic limit determined by body mechanics. A linear model is completely inappropriate for describing such training effects. Not every real-world problem is appropriately represented by a linear equation.
Step-by-step explanation:
Evaluate:
5x2 – 2 (y + 1) + 9 when x = 2 and y = 1.
Answers
Answer:
25
Step-by-step explanation:
[tex]5x^{2} - 2 ( y + 1)+9 = 5*2^{2} - 2(1 + 1) + 9 = 5 *4 - 4 +9 = 20 - 4 + 9 = 20 + 5 =25[/tex]
5x^2-2(y+1)+9
5(2)^2-2(1+1)+9
5(4)-2(2)+9
20-4+9
16+9
25
The Science Club went on a two-day field trip. The first day the members paid $40 for transportation plus $19 per ticket to the planetarium. The second day they paid $85 for transportation plus $16 per ticket to the geology museum. Write an expression to represent the total cost in dollars for two days for the n members of the club.
Answers
Answer:
y(total cost)=35n+125
Step-by-step explanation:
First day: 19n+40
Second day: 16x+85
Total: 35n+125
Change this Mixed number into a improper fractions: 3 and 6/8
Answers
Answer:
30/8
Step-by-step explanation:
1. In the diagram below, a large flagpole stands outside of an office
building. Mark realizes that when he looks up from the ground.
60 m away from the flagpole, that the top of the flagpole and the
top of the building line up. If the flagpole is 35m tall, and it is
310 m from the building, how tall is the building? Explain your
answer. On your answer sheet.copy the diagrams and label all
parts)
Answers
Answer:
Step-by-step explanation:
Let h bet the height of the building.
Mark is 60+310 = 370 m from building.
35/60 = h/370
h = 1295/6 = 215⅚ meters
Can y’all please help me with this. I feel like it’s a trick question
Answers
Answer:
the correct answer is the last one.
Step-by-step explanation:
good luck on ur test :)
Answer:
0.27
-0.07
0.20
Step-by-step explanation:
A
If it is not A it is a trick question, or a mistake
Report the problem if you can.
all rational numbers are integers trure or false
Answers
The rational numbers include all the integers, plus all fractions, or terminating decimals and repeating decimals. ... All natural numbers, whole numbers, and integers are rationals, but not all rational numbers are natural numbers, whole numbers, or integers.
All rational numbers are not integers. Rational numbers are of the form p/q, where p and q are integers with non-zero q.
Which of the following statements could be translated to the equation n - 5 = -2?
A number less than five equals negative two.
The difference between a number and five is negative two.
If five is subtracted from a number, the result is two.
Five less a number is equal to two.
Answers
Answer:
its the first one i believe
Answer:
I believe it's, The difference between a number and five is negative two.
Step-by-step explanation:
the radius of a circle is 17 yards. What is the circles area ?
Answers
Answer:
907.46
Step-by-step explanation:
Area = pi x radius^2
17^2 = 289
289 x 3.14 = 907.46
Hope this helps. Pls give brainliest.
Answer:
Area = 907.92 square yards
Step-by-step explanation:
[tex]A=\pi r^2[/tex]
[tex]A=\pi 17^2[/tex]
[tex]A=907.92[/tex]
Brainly plz :))
Please help!
Betty paid $300 for 5 toy planes. What is the rate per toy plane? (multiple choice)
a. $305 per toy plane
b. $295 per toy plane
c. $1,500 per toy plane
d. $60 per toy plane
Answers
Answer:
The answer is D, $60 per toy plane.
Answer:
d.) 60$
Step-by-step explanation:
You divide 300$ by 5 and you get 60 dollars per toy plane
Given r(x) = StartFraction 11 Over (x minus 4) squared EndFraction , which represents a domain restriction on r(x) and the corresponding inverse function? X > 4; r–1(x) = 4 minus StartRoot StartFraction 11 Over x EndFraction EndRoot x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot x > –4; r–1(x) = 4 minus StartRoot StartFraction 11 Over x EndFraction EndRoot x > –4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Answers
Answer:
x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Step-by-step explanation:
We are given that
[tex]r(x)=\frac{11}{(x-4)^2}[/tex]
We have to find the domain of restriction on r(x) and corresponding inverse function.
Let
[tex]y=r(x)=\frac{11}{(x-4)^2}[/tex]
[tex](x-4)^2=\frac{11}{y}[/tex]
[tex]x-4=\sqrt{\frac{11}{y}}[/tex]
[tex]x=\sqrt{\frac{11}{y}}+4[/tex]
[tex]r^{-1}(y)=\sqrt{\frac{11}{y}}+4[/tex]
Now, replace x by y and y by x then, we get
[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]
The function is not defined at x=4
But,
The inverse function defines for all positive real values.
Therefore, domain of r(x)=x>4 and inverse function
[tex]r^{-1}(x)=\sqrt{\frac{11}{x}}+4[/tex]
Option:
x > 4; r–1(x) = 4 + StartRoot StartFraction 11 Over x EndFraction EndRoot
Answer:
bbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbbb
Step-by-step explanation:
b
If a jacket costs $65.49 and it will be marked up 30%, what is the selling price?
Answers
I’m not 100% so good luck
A line with a slope of -4 passes through the point (0, 0). What is its equation in
slope-intercept form?
Write your answer using integers, proper fractions, and improper fractions in simplest form.
Answers
Answer: y = -4x
Step-by-step explanation: You would use the formula y = mx + b to solve your problem. When you plug the numbers in, you get y = -4x. There would be no "+ b" because in this case, the y-intercept (b) is equal to zero. Therefore, you would not need to write "y = -4x + 0" because that would not be the equation in its simplest form.
Jerry is saving his money. He started with 15.00. If he adds $ 10.00 to his savings each month how much will he have saved after 2.5 months
Answers
The sum of two numbers is 32 One number is 8 more than the other. Identify the system of equations representing this problem
Answers
Answer:
x + y = 32
x = y + 8
Step-by-step explanation:
Sum of two numbers is 32:
x + y = 32
One number is 8 more than the other:
x = y + 8
Which equation is equivalent to the equation shown up above ? Help?
Answers
Answer:
option 2
Step-by-step explanation:
:-)
help plzzzzzzzzzzzz
Answers
Cindy and her friends ride in a bike race. Each of the 6 members of her team rides an equal part of the 24-mile course.
The equation ____________________________ represents this problem
x - 24 = 6
6x = 24
24x = 6
Answers
Answer:
6x=24
Step-by-step explanation:
Because if Cindy has 6 friends and they all ride 4 miles it should equal 24.
I need a little help
Answers
Answer:
A) x = 8[tex]\sqrt{2}[/tex]
Step-by-step explanation:
in a 45-45-90 triangle, the legs to hypotenuse ratio is 1 : [tex]\sqrt{2}[/tex]
so in this problem the leg is 8 and the hypotenuse is 8[tex]\sqrt{2}[/tex]
Hey I'm Chloe, Can you help me, Thank you :)
I need Help with Math:
-3A +2 ( 5- 2A) = - 11
* I think The answer is A= 3, But I'm not sure*
Answers
Answer:
There is no question just a equation.
Step-by-step explanation:
I'm not sure.
Answer:
You are indeed correct, A=3
Step-by-step explanation:
PLEASE HELP I AM BAD A MATH
Answers
Answer:
Well what can i help you with?
Step-by-step explanation:
∆ABC is an equilateral triangle. Point P is on base BC such that
PC = 1
/3
BC. If AB = 12 cm, find AP
Answers
Answer:
15 I just stared so I am bad but I think I am correct
Can anyone help me pleaseeee!! I will mark yooo
Answers
Who can help me on this marking brainiest.
Answers
2) Animals that fly
3) 32 (? It’s blurry but the answer is the percentage in the blue part)
4) A cow would be classified in “animals that walk” and a whale would be classified in “animals that swim”
5) It would not be useful now because animals like frogs can do multiple things, in early stages it could swim but when it gets older it could live on land. (Sorry if 5 is not the best answer, but it’s how I’d answer it.)
Find the circumference of the circle. Use 3.14
for pi. Round to the nearest hundredth.
c=20 ft
Answers
Answer:
62.8
Step-by-step explanation:
the circumference is equal to the radiusx2xpi
it gives us the diameter but not the radius
to find the radius from the diameter we just divide it by 2 so the radius is 10
then we just do 10x2x3.14 which is 62.8
what type of relationship is y=3x+5 and y=-2x+1
Answers
This is a linear relationship.
Linear relationship is a statistical term used to describe a straight-line relationship between two variables. These two equations are written in the typical slope-intercept form of y = mx + c, this function creates a straight line when plotted.
Simplify each expression by using the distributive property and combining like terms.
3 ● (2x - 4) - 4x
Answers
Answer:
2x - 12
Step-by-step explanation:
Hello!
So, let's simplify using the distributive property.
Let's look at 3(2x - 4). You want to multiply 3 by every term inside the parentheses.
3*2x = 6x
3*-4= - 12
So now our expression looks like this:
(6x - 12) - 4x
Now we combine like terms. Our only like terms are 6x and -4x.
6x - 4x = 2x. So, our simplified expression is:
2x - 12.
(8x + 9) + (–6x – 1)
Answers
Answer:
5
Step-by-step explanation:
Simplifying
(8x + 9) + -1(6x + -1) = 0
Reorder the terms:
(9 + 8x) + -1(6x + -1) = 0
Remove parenthesis around (9 + 8x)
9 + 8x + -1(6x + -1) = 0
Reorder the terms:
9 + 8x + -1(-1 + 6x) = 0
9 + 8x + (-1 * -1 + 6x * -1) = 0
9 + 8x + (1 + -6x) = 0
Reorder the terms:
9 + 1 + 8x + -6x = 0
Combine like terms: 9 + 1 = 10
10 + 8x + -6x = 0
Combine like terms: 8x + -6x = 2x
10 + 2x = 0
Solving
10 + 2x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-10' to each side of the equation.
10 + -10 + 2x = 0 + -10
Combine like terms: 10 + -10 = 0
0 + 2x = 0 + -10
2x = 0 + -10
Combine like terms: 0 + -10 = -10
2x = -10
Divide each side by '2'.
x = -5
Simplifying
x = -5
made by TheRealMarinette
Your soccer team has won 9 games out of 12 games. You lost 3 out of the 12 games. What is the relative frequency of winning a game? Leave your answer as a percent.
Group of answer choices
75%
25%
1.3%
90%
Answers
Answer:
75%
Step-by-step explanation:
9 ÷ 12 = 0.75
0.75 = 75%