Answer:
a. (0,-6) and (8,0)
b. [tex]m = 3/4[/tex]
c. [tex]y = 3x/4 - 6[/tex]
Step-by-step explanation:
Given
[tex]3x - 4y = 24[/tex]
Solving (a): Two solutions
To determine the solutions of the equation, we assume values for x and y.
First: Let, x = 0
Substitute 0 for x in the equation
[tex]3x - 4y = 24[/tex]
[tex]3(0) - 4y = 24[/tex]
[tex]- 4y = 24[/tex]
Divide both sides by -4
[tex]y = 24/-4[/tex]
[tex]y = -6[/tex]
So, one solution is (0,-6)
To determine another solution, we assume that y = 0
Substitute 0 for y in the equation
[tex]3x - 4y = 24[/tex]
[tex]3x -4(0) = 24[/tex]
[tex]3x = 24[/tex]
Divide both sides by 3
[tex]x = 24/3[/tex]
[tex]x = 8[/tex]
So, another solution is (8,0)
Solving (b): The slope of the equation
We have to get the equation in the form: [tex]y = mx + b[/tex]
Where
[tex]m = slope[/tex]
[tex]3x - 4y = 24[/tex]
Subtract 3x from both sides
[tex]3x - 3x - 4y = 24 - 3x[/tex]
[tex]- 4y = 24 - 3x[/tex]
Divide both sides by -4
[tex]y = 24/-4 - 3x/-4[/tex]
[tex]y = -6 + 3x/4[/tex]
[tex]y = 3x/4 - 6[/tex]
By comparison,
[tex]m = 3/4[/tex]
Hence:
[tex]Slope = 3/4[/tex]
Solving (c): Slope intercept form
This has been solved in (b) above
[tex]y = 3x/4 - 6[/tex]
Determine the period of the following graph.
5
4
2
7
a स
5
3.11
8
53
8
31
4
9.31
8
52
4
2
1
-2
9514 1404 393
Answer:
π/2
Step-by-step explanation:
The first peak has an x-coordinate of 0. The second peak has an x-coordinate of π/2. The period is the difference of these:
period = π/2 -0
period = π/2
any ideas on what this is (i know its either a or d)
Answer:
c
Because...
It has the same slope.
what’s the quotient for these numbers??:)
Answer:
69
Step-by-step explanation:
420
Answer:
1 5/7
Step-by-step explanation:
Which number is equivalent to 3^4/3^2 (3 to the power of 4 OVER 3 to the power of 2)
A 2
B 9
C 81
D 729
Answer:
B. 9
Can I please be brainliest???
Pls helppp this is a grade
Answer:
9.5
Step-by-step explanation:
9/18 is 1/2
Answer:
19/2 or 9.5
Step-by-step explanation:
What is the range of these? And what’s the definition of range
Answer:
-3, 1, 2
Step-by-step explanation:
the range is the y- values
Answer:
The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
Step-by-step explanation:
Maricella solves for x in the equation 4 x minus 2 (3 x minus 4) + 4 = negative x + 3 (x + 1) + 1. She begins by adding –4 + 4 on the left side of the equation and 1 + 1 on the right side of the equation. Which best explains why Maricella's strategy is incorrect?
Answer:
Step-by-step explanation:
Given the equation
4x-2(3x-4)+4 = -x+3(x+1)+1
Open the parenthesis on both sides
4x-6x+8+4 = -x+3x+3+1
-2x+12 = 2x+4
Collect like terms
-2x-2x = 4-12
-4x = -8
Divide both sides by -4
-4x/-4 = -8/-4
x = 2
Hence the value of x is 2
Answer:
4
Step-by-step explanation:
( Will give Brainliest and 89 points please helppp
Answer:
Box B length = 10 in
Step-by-step explanation:
trust me ;)
Answer:
10 that is the answer
Step-by-step explanation:
A shirt is discounted by 20%. The discounted prices is $32. What was the original price of the shirt?
Answer:
0
Step-by-step explanation:
if f(x)= 3/x^2 - 2 and g(x)=4x then g(f(3))= ?
A.) 3/7
B.) 2/3
C.) 12/3
D.) 12/7
E.) 14/7
Answer:
https://corbettmaths.files.wordpress.com/2015/03/functions-answers.pdf
Step-by-step explanation:
Sorry if this is not right
Wallace recorded the length of his paintings in feet. Which list shows the lengths in order from greatest to least? List 1: 4.5 feet, 4 feet, 3.99 feet, 3.5 feet, 4.25 feet List 2: 3.99 feet, 4.25 feet, 4.5 feet, 3.5 feet, 4 feet List 3: 4.5 feet, 4.25 feet, 4 feet, 3.99 feet, 3.5 feet List 4: 3.5 feet, 3.99 feet, 4 feet, 4.25 feet, 4.5 feet
Answer:
list 3
Step-by-step explanation:
if you look at list 3 "4.5 feet, 4.25 feet, 4 feet, 3.99 feet, 3.5 feet" you can easily see that it is going from greatest to smallest because 4.5 is larger than 4.25 and 4.25 is larger than 4 and 4 is larger that 3.99 by 0.01 as you see its only 0.01 diffrence but it is still larger
Answer:
List 3
Step-by-step explanation:
I got it right (;
Help me please asap!
Answer:
The student did not distribute correctly
perimeter of rectangular plot is 36 meters the length is increased by 6meters and breadth is decreased by 3 meters the area of the plot remains the same what is the length of the plot
Perimeter of a rectangular plot = 36 m.
Find:length of the plot
Solution:Let the length of the plot be x and it's breadth be y.
We know that,
Perimeter of a rectangle = 2(length + breadth)
⟹ 2(x + y) = 36
⟹ x + y = 36/2
⟹ x = 18 - y -- equation (1)
Also,
If length is increased by 6 m & breadth is decreased by 3 m , the area remains same.
Area of a rectangle = length * breadth
So,
(x + 6) * (y - 3) = xy
⟹ x(y - 3) + 6(y - 3) = xy
⟹ xy - 3x + 6y - 18 = xy
Substitute the value of x from equation (1).
⟹ - 3(18 - y) + 6y = 18
⟹ - 54 + 3y + 6y = 18
⟹ 9y = 18 + 54
⟹ y = 72/9
⟹ y = 8 m
Substitute the value of y in equation (1).
⟹ x = 18 - 8
⟹ x = 10 m
Hence,
Length (x) = 10 m
Breadth (y) = 8 m.
∴ The length of the plot is 10 m.
I hope it will help you.
Regards.
Ast week, Shelly rode her bike a total of 30 miles over a three-day period. On the second day, she rode 4 5 the distance she rode on the first day. On the third day, she rode 3 2 the distance she rode on the second day. How many miles did Shelly ride on each day? Select your answers from the drop-down lists. On the first day, Shelly rode miles. On the second day, Shelly rode miles. On the third day, Shelly rode miles.
Answer: On the first day, Shelly rode 10 miles on first day.
On the second day, Shelly rode 8 miles.
On the third day, Shelly rode 12 miles.
Step-by-step explanation:
Let x = distance rod eon first day.
Shelly rode her bike a total of 30 miles over a three-day period.
Then as per given,
Distance rode on second day = [tex]\dfrac45x[/tex]
Distance rode on third day [tex]=\dfrac32\times\text{ Distance rode on second day}[/tex]
[tex]=\dfrac32\times\dfrac45x=\dfrac{6}{5}x[/tex]
Total distance rode = [tex]x+\dfrac45 x+\dfrac65x=30[/tex]
[tex]\Rightarrow\ \dfrac{5x+4x+6x}{5}=30\\\\\Rightarrow\ \dfrac{15x}{5}=30\\\\\Rightarrow\ 3x=30\\\\\Rightarrow\ x=\dfrac{30}{3}\\\\\Rightarrow\ x=10[/tex]
Hence, She rode 10 miles on first day.
Distance rode on second day = [tex]\dfrac45\times10=4\times2=8\text{ miles}[/tex]
Distance rode on third day [tex]=\dfrac{3}{2}\times8=3\times4=12\text{ miles}[/tex]
what is the x-coordinate of (-2,5)?
Answer: -2
Explanation: The -2 is called the x-coordinate
or horizontal move from the origin.
All points are written in the form (x, y).
Give the equation of the line going through the point (0, -3) and perpendicular to 4x - 8y = 16.
Please answer quickly. It's due tomorrow
Answer:
y=-1/4x+3
Step-by-step explanation:
put it into y-y1=m(x-x1) form, which gives you y+3=-1/4x(x+0)
(side note: we change the y- to a y+ becuase the y in the point in negative. another side note, the slope is -1/4x because perpendicular slopes are opposite, in this case 4x (or 4/1x) is the opposite of -1/4 x)
then remove the parenthesis. y+3=-1/4x
then isolate y and balance the equation.
y+3-3=-1/4x-3
this gives you the answer of y=-1/4x-3.
Answer:
y=-2x-3
Step-by-step explanation:
The equation of the line in the slope-intercept form is y=x2−2.
The slope of the perpendicular line is negative inverse: m=−2.
So, the equation of the perpendicular line is y=−2x+a.
To find a, we use the fact that the line should pass through the given point: −3=(−2)⋅(0)+a.
Thus, a=−3.
Therefore, the equation of the line is y=−2x−3.
Answer: y=−2x−3.
Find x if the angles are complementary
Answer:
B
Step-by-step explanation:
Complementary means that two angles add up to 90°.
We can make an equation to resemble the problem and solve for x.
(4x - 2) + (11x + 17) = 90
15x + 15 = 90
15x = 75
x = 5
Best of Luck!
I need help really fast! Please look at the image below!!
Please and thank you!
Answer:
119 degrees
Step-by-step explanation:
We know that a full straight line is 180 degrees. This angle is 61 degrees, so we subtract 61 from 180.
180 - 61 = 119 degrees
I hope this helped, please mark Brainliest, thank you!
Answer:
119
Step-by-step explanation:
a line equals 180 degrees, so just subtract 61 from 180
James owes His friend Sam $65. He pays Him back $38. How much does James still owe
Answer:
James still owes the 27 bucks
Answer:
27$
Step-by-step explanation:
65-38
The solution of a set of four linear inequalities has the shape of a parallelogram. One of the inequalities is Y Z 0. What four inequalities could form the system?
A. y≥0, x≥0, x + y ≤ 6, x≤2
B. y ≥ 0,y ≥0, y ≥6, x ≤ 2
C. y ≥ 0, x ≥ 0, x ≤ 6, y ≤ 2
D. y ≥ 0, x ≥ 0, x ≤ -6, y ≤ 2
Answer:C
Step-by-step explanation:
determine if 0.868668666866668666668... is rational or irrational and give a reason for your answer.
Which of the following investments will earn the greatest amount of interest?
a. $2,400 invested for 3 years at 5.0% interest
b. $1,950 invested for 4 years at 4.0% interest
C. $1,600 invested for 8 years at 3.0% interest
d. $1,740 invested for 2 years at 8.0% interest
Answer:
C on edg
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
Examine this system of equations. What integer should the first equation be multiplied by so that when the two equations are added together, the x term is eliminated? StartFraction 1 Over 18 EndFraction + four-fifths y = 10 Negative five-sixths x minus three-fourths y = 3
Answer:
Examine this system of equations. What integer should the second equation be multiplied by so that when the two equations are added together, the x term is eliminated?
Three-fourths x + StartFraction 1 Over 7 EndFraction y = 6
StartFraction 1 Over 8 EndFraction x minus three-fifths y = 16
✔5/6
Step-by-step explanation:
I just did the test and i got it correct
hope this helps
:)
Answer:
answer : 15
Step-by-step explanation:
Write an equation for the line in point slope form that passes through (-3,9) and (11,-2) FAST PLEASE
Find the vertex of the graph of the quadratic function. Determine whether the graph opens upward or downward, find the y-intercept, and sketch the graph. f(x) = -x- 8x-7
The answer is : (-4, 9)
The given function is:
f(x) = -x^2 - 8x - 7
To find the vertex of the parabola, we need to complete the square as follows:
f(x) = -(x^2 + 8x) - 7
= -(x^2 + 8x + 16) + 16 - 7
= -(x + 4)^2 + 9
Hence, the vertex is (-4, 9).
Since the coefficient of x^2 is negative, the parabola opens downward.
To find the y-intercept, we set x = 0:
f(0) = -0^2 - 8(0) - 7 = -7
Therefore, the y-intercept is (0, -7).
To sketch the graph, we plot the vertex (-4, 9) and the y-intercept (0, -7). Since the parabola opens downward, it will have a maximum value at the vertex. We can also plot a few other points by choosing values of x and calculating the corresponding values of y.
Therefore, the vertex is (-4, 9).
To know more about line visit : https://brainly.com/question/30003330
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You are the owner of an ice cream shop. You charge $2 for a single scoop cone and $3 for a double scoop cone. Yesterday, you made $206 and sold 86 cones total. How many of each cone did you sell? Write a system of linear equations and solve.
Answer:
las vidas una carnival
Step-by-step explanation:
What is the equation of this line?
y=6x−14
y=14x−6
y=4x−6
y=6x−4
coordinate system with y axis numbered from negative 6 to 6 in increments of 2 and x axis numbered from negative 4 to 4 in increments of 2.Graph of a line passing through points 0 comma negative 6, 1 comma negative 2, and 2 comma 2
PLEASE HURRY ILL MAKE BRAINLIEST!!!!!
Answer:
the answer is y= 4x-6
Step-by-step explanation:
props to the person that asked the question <3
Option (c) is correct.
The equation of the line is y = 4x -6, when the coordinate system with the y-axis is numbered from negative 6 to 6 in increments of 2 and the x-axis is numbered from negative 4 to 4 in increments of 2.
What is the equation of a line?
A straight line's general equation is y = mx + c, where m denotes the gradient and y = c denotes the point at which the line crosses the y-axis. On the y-axis, this value c is referred to as the intercept. Key Concept.
Y = mx + c represents the equation of a straight line with gradient m and intercept c on the y-axis.
The given coordinates are:
(x,y) = (0,-6)
(x,y) = (1,-2)
(x,y) = (2,2)
So, when we substitute the values of x and y as given above in the equation: y = 4x -6, we get the same result of x and y.\
Hence, The equation of the line is y = 4x -6, when the coordinate system with the y-axis is numbered from negative 6 to 6 in increments of 2 and the x-axis is numbered from negative 4 to 4 in increments of 2.
Visit the link below to learn more about the equation of a line.
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the product of 3 and a number divided by 9
Answer:
3x
--------
9
Step-by-step explanation:
What type of
solution do you get if
you solve an
equation and the last
line says 12 = 12
A.)No solution
B.)One solution
C.)Infinite solutions
Answer:
infinite solutions
Step-by-step explanation:
Given f(x)=−3x−1, solve for x when f(x)=−10.
Answer: X= -3
Step-by-step explanation: If f(x)= 3x-1
then you would do the math 3x-1= -10
which makes out to be x= -3
