The line shown represents the amount of money left on a gift card, y, after Mina buys lattes. After buying 2 lattes, she has $2 left. What is an equation of the line in point-slope form?
Answers
Answer:
[tex]y-2 = -3(x-2)[/tex]
Step-by-step explanation:
Find the diagram to the question attached.
The standard equation of a line in point-slope form is expressed as:
[tex]y-y_0 = m(x-x_0)[/tex] where:
m is the slope of the line
[tex](x_0, y_0)[/tex] is coordinate point on the line
First is to get the slope of the line.
[tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex]
If after buying 2 lattes, she has $2 left, hence one of the coordinate of the line is (2, 2). We can get the other coordinates from the graph. From the graph, it can be seen that when x = 0, y = 8. Hence the other coordinates is (0, 8)
[tex]m = \frac{8-2}{0-2}\\m = \frac{6}{-2}\\m = -3[/tex]
Hence the slope is -3
Substitute m = -3 and the point (2, 2) into the formula to get the required equation (note that any of the points can be used)
[tex]y-y_0 = m(x-x_0)\\y-2 = -3(x-2)[/tex]
Hence the equation of the line in point-slope form is [tex]y-2 = -3(x-2)[/tex]
Related Questions
Let f(x) = x – 4 and g(x) = x^2 – 16.
Perform the function operation f(x) + g(x) and then find the domain.
Answers
Answer:
f(x) +g(x) = x^2 +x -20
domain: all real numbers
Step-by-step explanation:
The sum of two polynomial functions is found by adding the terms of each function definition:
f(x) +g(x) = (x -4) +(x^2 -16)
f(x) +g(x) = x^2 +x -20
__
The domain of any polynomial is "all real numbers." The set of polynomials is closed to addition, meaning the sum of any polynomials is another polynomial. The sum, too, will have a domain of "all real numbers."
IF YOU ANSWER FIRST YOU WILL GET BRAINLIEST ANSWER THIS CORRECTLY
Answers
Answer:
the last one
Step-by-step explanation:
D.
The last answer is correct
The greatest advantage of SI is that it has only one unit for each quantity (type of measurement). This means that it is never necessary to convert from one unit to another (within the system) and there are no conversion factors for students to memorize.
HOPE THIS HELPED
AND IF IT DOES PLEASE GIVE BRAINLIST
what's better getting 14 out of 17 or 31 out of 39
Answers
Answer:
14 out of 17 is a 82% and 31 out of 39 is a 79%.
14 out of 17 is better
Answer:
it's better to get 14 out of 17
Step-by-step explanation:
14 out of 17 is 82% while 31 out of 39 is 79%
A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340 in2. Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?
Answers
Answer:
A photographer needs a frame for a 16 x 20 inch picture, such that the total area is 340 in2. Calculate the width of the frame. Which of the following quadratic equations would be used when solving this?
Step-by-step explanation:
who df deleted my answer
BebeHowILook
Answer: 4x^2+72x=20
Step-by-step explanation: I took the quiz.
The time to assemble a television at a factory is 2.5 hours. A stereo only requires 1.5 hours. The factory workers can supply at least 580 and at most 750 hours of assembly time each week. The factory is producing 3 times as many televisions as stereos. What is the inequality?
A) 580=<4x=<750
B) 580<4<750
C)580=<9=<750
D)580<4<750
Answers
Answer: a
Step-by-step explanation:
The previous balance in your check register is $234. 67. You make a deposit of $150. 0. You write a check for $63. 23. What is your new balance?
Answers
Answer:
321.44
Step-by-step explanation:
(234.67+150)-63.23
(62 - 3) X (2 + 8) =
Answers
Answer:
590
Step-by-step explanation:
(62-3)=59
(2+8)=10
59x10
=590
Answer:
590
Step-by-step explanation:
Solve what's in parentheses:
62 - 3 = 592 + 8 = 10Multiply:
59 × 10 = 590I hope this helps!
3. $37 dinner; 15% tip
Answers
Answer:
$5.55 tip
Step-by-step explanation:
if you have 3 gallons of 95% alcohol, how much pure water should be added to be able to produce 70% alcohol?
Answers
Answer: Approximately 1.0714 gallons
===========================================
Work Shown:
x = amount of pure water
3 gallons of 95% alcohol means you have 3*0.95 = 2.85 gallons of pure alcohol.
If we add on x gallons of pure water, we'll have 3+x gallons of solution
So we'll have 2.85/(3+x) representing the ratio of the amount of pure alcohol to total solution. Set this equal to 0.70 and solve for x
2.85/(3+x) = 0.70
2.85 = 0.70(3+x)
2.85 = 0.70(3)+0.70(x)
2.85 = 2.10+0.70x
2.85-2.10 = 0.70x
0.75 = 0.70x
0.70x = 0.75
x = 0.75/0.70
x = 1.07142857142858 which is approximate
x = 1.0714
So if you add about 1.0714 gallons of pure water, you'll go from 95% alcohol to 70% alcohol.
solve for m
75°
150°
105°
90°
Answers
Answer:
first of all we don't know where m is so I will give you all the degrees for all the angles so angle DAB is equals to 75 degrees angle ABC is equals to 105 degrees angle ADC is equals to 105 degrees
The measure of the angles ∠A will be 105°. Then the correct option is B.
What is a trapezoid?It is a polygon that has four sides. The sum of the internal angle is 360 degrees. In a trapezoid, one pair of opposite sides are parallel.
In the isosceles trapezoid, the sum of opposite angles will be equal to 180°. Then the equations are given as,
∠A + ∠C = 180°
Then the measure of the angle ∠A is calculated as,
∠A + 75° = 180°
∠A = 105°
The measure of the angles ∠A will be 105°. Then the correct option is B.
More about the trapezoid link is given below.
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Evelyn drove 248 miles in eight hours if she continues at the same rate how far would she travel in 6hours
Answers
Answer:
186miles
Step-by-step explanation:
248 divided by the 8 hours she traveled means she was going 31 miles per hour. and 31 mph for 6 hours is 186 miles.
What is the surface area of this design? 8,8,8
Answers
Hi!
To find the surface area, we must first find the area of all of the faces and then add them together.
Because every face is the same size, the formula will be:
6(8 x 8)
6 represents the number of faces and 8 x 8 represents the formula to find the area of each.
6(8 x 8) =
6(64) =
384
The surface area of the cube is 384 square inches.
I hope this helps you!
-Nishaun
Jada has 12 pencils and 24 erasers. She wants to create identical groups. What is the
greatest number of groups that Jada can make?
Answers
Answer:
12
Step-by-step explanation:
A flag has an area of 504 square inches. Its perimeter is 92 inches. What are the dimensions of the flag?
Answers
Width: 18 inches
The two-way table below describes the car rental habits of sales representatives attending a conference. Sales Representatives’ Car Rentals, by Length of Stay Staying Fewer than Two Nights Staying at Least Two Nights Rented a Car 9 11 Did Not Rent a Car 21 14 What percentage of representatives staying at least two nights rented a car? 20% 44% 55% 79%.
Answers
The percentage of representatives staying at least two nights renting a car is 44%. Then the correct option is B.
What is the percentage?The amount of something is expressed as if it is a part of the total which is a hundred. The ratio can be expressed as a fraction of 100. The word percent means per 100. It is represented by the symbol ‘%’.
The two-way table below describes the car rental habits of sales representatives attending a conference.
The percentage of representatives staying at least two nights rented a car will be
[tex]\rm Percentage = \dfrac{11}{25}*100 \\\\Percentage =0.44*100\\\\Percentage = 44 \%[/tex]
The percentage of representatives staying at least two nights renting a car is 44%. Then the correct option is B.
More about the percentage link is given below.
https://brainly.com/question/8011401
I did the test just trust me
Jane took a train traveling at an average speed of 60 mph from Boston, MA to Washington, D.C. The trip took 8 hours. On her way back to Boston, Jane decides to take an express train that travels at an average speed of 75 mph. How long will the trip home take?
Answers
Answer:
6.4 minutes
Step-by-step explanation:
The question gave us the following details:
Average speed = 60mph
Time spent on trip = 8 hours
Average speed of express train on way back = 75mph
T = distance/speed
D = distance
V = speed
T = d/v
d = v(t)
d = 60 x 8
= 480
Such that
480/75
= 6.4 hours.
That is 6 hours 40 minutes is the length of time it would take on the trip home.
Thank you!
Answer:
6.4 hours / 6 hours 40 minutes
Step-by-step explanation:
Do you do RSM? 6th Grade Advanced?
Find the following measures of central tendency for the given set of data.
{785, 985, 456, 351, 153, 246, 794, 159}
a. Mean =
b. Median =
c. Mode =
Answers
b. Median = 403.5
c. Mode = there is no mode
write two expression who sum is:
Answers
Answer:
x^2+x
Step-by-step explanation:
multipling all sides by x+1
What is the slope of a line perpendicular to the line whose equation is 6x-10y=140. Fully simplify your answer.
Answers
y=14
10y=140
Divide both sides by 10.
y=
10
140
Divide 140 by 10 to get 14.
y=14
The slope of a line perpendicular is -5/3 to the line whose equation is 6x-10y = 140.
What is the slope of the line?The slope of a line is defined as the inclination of the line. It is denoted by m
Slope m = (y₂ - y₁)/(x₂ -x₁ )
Make the following equation in slope-intercept form:
y = mx + b
where m denotes the slope and (0,b) denotes the y-intercept (the point at which x = 0).
The given equation is:
6x - 10y = 140
-10y = - 6x + 140
Divided by -10 into both sides of the equation,
y = (6/10)x + 140/(-10)
y = (3/5)x -14
Here m = 3/5, b is (0,14)
The slope of this line is 3/5.
The slope of all of its perpendicular lines is (-1/m), which is the negative reciprocal of slope m.
Therefore, the slope of all perpendicular lines is (-5/3).
Learn more about the Slope of the Line here:
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n + 6
5
2
= 17
solve n please
Answers
Hey there!
=> n + 652 = 17 { Substract 652 from both sides}
=> n + 652 -652 = 17 - 652
=> n = 17 -652
=> n = -635
Therefore, N = -635
dentify the domain of the relation {(2,-3), (6, 2), (-5, 9)}. Be sure to use a comma between the numbers and write the domain in order from smallest to largest
Answers
Answer:
D: -5,2,6
Step-by-step explanation:
Linda drives 28 miles in 48 minutes, Keeping the same rate, how miles
would she drive in 24 minutes? I
Answers
Answer: 14 miles om 48 min.
Which conic section is represented by the following equation? –5x2 10xy – 5y2 2x – y 4 = 0 circle ellipse parabola hyperbola.
Answers
A conic section can be an ellipse, a parabola or a hyperbola.
The equation of the conic section represents a hyperbola
How to determine the conic sectionThe equation of the conic section is given as:
[tex]\frac{-5x^2}{10} - \frac{5y^2}{2} = 1[/tex]
The equation of a hyperbola is represented as:
[tex]\frac{x^2}{a^2} - \frac{y^2}{b^2} = 1[/tex]
By comparing the given equation of the conic section and the general equation of a conic section, we can see that both equations are similar in some aspect
Hence, the equation of the conic section represents a hyperbola
Read more about conic section at:
https://brainly.com/question/8320698
Answer:
it is C on edg2020
C.) parabola
Step-by-step explanation:
15 - 12 ÷ 4 x 3
To simplify this problem, you need to follow _______ of ________.
First you need to ________.
Then you need to _______.
Lastly you would ... To get the answer of __.
Answers
Answer: Look below.
Step-by-step explanation: To simplify this problem, you need to follow order of operations.
First you need to multiply (or divide, doesn't matter.)
Then you need to divide.
Lastly, you would subtract to get the answer of 6.
Use PEMDAS for order of operations.
Step-by-step explanation:
order of operations devide 12by 4 to get 3 and multiple the answer by 3 to9 and substract it from 15 to get 6
Which values of x are point(s) of discontinuity? x = –6 x = –2 x = 0 x = 2 x = 4.
Answers
Discontinuity is the value of x or y for which the function is not defined. The function is discontinued at points x=0 and x=4.
What is discontinuity?The discontinuity is the value of x or y for which the function is not defined. It is represented by a blank dot at the point at which it is not defined.
The discontinuity of the function is represented by a blank dot, and it is the point where the function is not defined.
If we look in the graph, we will find that there are three blank dots, which are at:
x = -2
x = 0
x = 4
Now, since discontinuity means that the function is not defined but as we can see that the value of the function is defined at x = -2, therefore, we are left with only two options which are x=0 and x=4.
Hence, the function is discontinued at points x=0 and x=4.
Learn more about Discontinuity:
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Answer:
1. b,c,e
2. c
Step-by-step explanation:
All three points displayed are on the line. Find an equation relating x and y.
Answers
Answer:
y = 2x - 3
Step-by-step explanation:
The graph is a straight line, thus linear with equation
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (3, 3) and (x₂, y₂ ) = (6, 9) ← 2 points on the line
m = [tex]\frac{9-3}{6-3}[/tex] = [tex]\frac{6}{3}[/tex] = 2 , thus
y = 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (3, 3 ), then
3 = 6 + c ⇒ c = 3 - 6 = - 3
y = 2x - 3 ← equation relating x and y
The equation whigh relates x and y points on the graph can be expressed in slope-intercept form as y = 2x - 3
The general form of a slope - intercept equation is :
y = bx + cb = slope ; c = interceptSlope, b = Rise / Run
Rise = 9 - 3 = 6 Run = 6 - 3 = 3Slope, b = 6/3 = 2
Taking a pair of point on the graph :
(3, 3)
3 = 2(3) + c
3 = 6 + c
3 - 6 = c
c = - 3
Therefore equation can be expressed thus :
y = 2x - 3Learn more : https://brainly.com/question/18618957
Increase by the given percentage
272 by 249%
Answers
In the Long Beach Air Race, six planes are entered and there are no ties, in how many ways can the first three finishers come in?
Answers
Answer:
swim bike and run.
Step-by-step explanation:
Factor completely 2x3 8x2 3x 12. (2x2 3)(x 4) (2x2 3)(x − 4) (2x2 − 3)(x 4) (2x2 − 3)(x − 4).
Answers
The factorisation of the polynomial [tex]2x^3+8x^2+3x+12[/tex] can be done as [tex](2x^2+3)(x+4)[/tex].
What is a factor?A factor of n is a number that when multiplied by another number gives us the number n.
In order to factorise the given polynomial, we need to take the common terms out, therefore, the factorisation of the given polynomial can be done as,
[tex]2x^3+8x^2+3x+12[/tex]
Take 2x² as the common term from the first two terms and 3 from the last two terms,
[tex]2x^3+8x^2+3x+12\\\\= 2x^2(x+4)+3(x+4)\\\\=(2x^2+3)(x+4)[/tex]
Hence, the factorisation of the polynomial [tex]2x^3+8x^2+3x+12[/tex] can be done as [tex](2x^2+3)(x+4)[/tex].
Learn more about Factors:
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A triangle has vertices at (3, 3), (6, 15), and (3, -3). What are the coordinates of the orthocenter?
A. (-69, 15)
B. (3.5, 3)
C. (4.2)
D. (9, 0)
Answers
Answer:
The answer would be A) (-69, 15)
Solution:
Finding 1st and 2nd
m = (y2 - y1)/(x2 - x1)
m = (15 - 3 )/(6 - 3)
m = 12/3
y = 4x + b
3 = 3(3)+b
3=9+b
-9 -9
-6=b
Finding 3rd
repeat the above process for 1 and 2, so now use 2 and 3 in the equation.
m = -9/3
m=-3
y=-3x+b
15=-3(6)+b
b=-3
Step 2