I need help with an algebra assignment right away! Write the equation 9x + 2y = 6 in slope-intercept form.
Write the equation y - 3 = 4(x + 1) in standard form.
Write the equation y + 7 = -2(x - 3) in slope-intercept form.
The equation y - 5 = 3(x - 2)
is written in point-slope form. Write this equation in the
following ways:
a. slope-intercept form
b. standard form
Answers
So remember that slope-intercept form is y = mx+b (m = slope, b = y-intercept) and standard form is ax+by = c. (a and b are coefficients and c is the constant)
Starting with the first question: 9x + 2y = 6
Firstly, subtract 9x on both sides: 2y = -9x + 6
Next, divide both sides by 2, and your equation will be y = -4.5x + 3
Now with the next equation: y - 3 = 4(x + 1)
Firstly, foil 4(x + 1): y - 3 = 4x + 4
Next, subtract y on both sides: -3 = 4x - y + 4
Next, subtract 4 on both sides, and your answer will be: -7 = 4x - y
Next equation: y + 7 = -2(x - 3)
Firstly, foil -2(x - 3): y + 7 = -2x + 6
Next, subtract 7 on both sides of the equation, and your answer will be: y = -2x - 1
Next: y - 5 = 3(x - 2) (part a)
Firstly, foil 3(x - 2): y - 5 = 3x - 6
Next, add 5 on both sides, and your equation is: y = 3x - 1
Next, y - 5 = 3(x - 2) (part b)
Firstly, foil 3(x - 2): y - 5 = 3x - 6
Next, subtract y on both sides of the equations: -5 = 3x - y - 6
Next, add 6 on both sides of the equation, and your answer will be: 1 = 3x - y
Related Questions
Simplify -3 (n - 7) using the distributiveproperty
Mike has 21 pounds of tomatoes and 9 pounds of mixed peppers from his garden that he will use to make salsa and tomato sauce. The graph represents the system of equations shown.A system of equations. x plus 5 y equals 21. x plus y equals 9.The variable x represents the number of batches of salsa that can be made and y represents the number of batches of tomato sauce that can be made.A coordinate grid showing Garden Produce with Batches of Salsa on the x axis and Batches of Tomato Sauce on the y axis and two lines. The first line passes through (0, 9) and (6, 3). The second line passes through (1, 4) and (6, 3).Which statement is true about the graph?Mike can make 3 batches of salsa and 6 batches of tomato sauce using all of his garden produce.Mike can make 3 batches of salsa and 3 batches of tomato sauce using all of his garden produce.Mike can make 6 batches of salsa and 3 batches of tomato sauce using all of his garden produce.Mike can make 6 batches of salsa and 9 batches of tomato sauce using all of his garden produce.
Which pair of angles listed below are adjacent angles?Parallel Lines and Transversals A. 1 and 2 B. 1 and 3 C. 1 and 4 D. 2 and 3
the amount of a persons paycheck p varies directly with the numbers of hours worked t. for 16 hours of work, the paycheck is $124.00 write a equation for the relationship between hours of work and pay
Frame 2 to Frame 3
Frame 3 to Frame 4
Answers
Answer:
1. Frame 1 to Frame 2 - Vertical downward translation
2. Frame 2 to Frame 3 - counterclockwise rotation
3. Frame 3 to Frame 4 - Vertical upward translation
Step-by-step explanation:
The movement of the shapes from one frame to the other can be described by solid transformations. These are procedures required to change the orientation or size of a given shape. They include: rotation, translation, dilation and reflection.
1. When the shape in frame 1 is translated vertically downwards, it would produce the shape in frame 2.
2. Rotating the shape in frame 2 by counterclockwise would move it to the shape in frame 3.
3. Vertical upward dilation would move the shape in frame 3 to that in frame 4.
Answers
Answer:
Step-by-step explanation:
Cost of 1 cake = $5
Let x be the no. of cakes
So, Cost of x cakes = 5x
Since we are given that Shiloh has to earn at least $200
So,
So, the no. of the cakes should be sold more than or equal to 40
We are also given that She has only 100 cakes
So, the maximum number of cakes she can sold is 100 i.e.
So, Inequality becomes :
Hence inequality shows the number of cakes, x, Shiloh can sell to meet her goal is
Answers
Step by Step:
y=4(2)+2
y=8+2
y=10
Answers
Answer:
290 adults and 190 children attended the Play.
Step-by-step explanation:
Given:
Total number of people in play = 480
Let the number of adults be x
and Number of children be y
Hence we can write the equation as;
Also Given:
Price for 1 adult = $2
Price for 1 children = $1
Total admission receipts = $770
Hence we can write the equation as;
Now We will subtract equation 1 from equation 2 we get;
Now substituting the value of x in equation 1 we get;
Hence 290 adults and 190 children attended the Play.
Final answer:
The problem is solved by creating two equations based on the given information and solving the system of equations to find that there were 290 adults and 190 children who attended the play.
Explanation:
To solve the problem of determining how many adults and children attended the play, we need to set up a system of equations.
Let A be the number of adults and C be the number of children who attended the play. We are given two pieces of information:
The total number of people at the play was 480, which gives us the equation A + C = 480.
The total amount of money collected from admissions was $770. Since adults pay $2 and children pay $1, the equation is 2A + C = 770.
Now we have a system of two equations:
A + C = 480
2A + C = 770
To solve this system, we can subtract the first equation from the second equation to eliminate C:
2A + C - (A + C) = 770 - 480
which simplifies to:
A = 290
Now, plug A = 290 into the first equation to find C:
290 + C = 480
Subtract 290 from both sides:
C = 190
So, there were 290 adults and 190 children at the play.
Learn more about system of equations here:
#SPJ3
f(4) is_______
f(x) = 4 when x is_________
Answers
Answer:
- 1/2
- 8
Step-by-step explanation:
x = domain, f(x) = range
Look for matching numbers:
- f(4) = 1/2
- f(x) = 4 when x = 8
Answers:
f(4) is 1/2
f(x) = 4 when x is 8
====================================
Explanation:
Saying f(4) means f(x) when x = 4.
Locate 4 in the domain bubble. It points to 1/2 in the range bubble. This means x = 4 and y = 1/2 pair up. So f(4) = 1/2.
--------
When we're told f(x) = 4, we're given that y = 4 since y = f(x). So we need to find the x value that gets us to y = 4.
Locate y = 4 in the range. Trace the arrow in reverse to get to x = 8
f(8) = 4
a. True
b. False
Answers
Answer:
The answer is TRUE
Step-by-step explanation:
Given a statement that
"A circle has all three types of symmetry"
we have to tell the above statement is true or false
The circle possesses the symmetry which are:
(i) Linear symmetry possess infinite lines of symmetry of order 4
(ii) Point symmetry possess point symmetry about the centre O
(iii)Rotational symmetry possess rotational symmetry of an infinite order.
Hence given statement is TRUE
A circle has all three types of symmetry