Answer:
20+20=40
they have 40 apples altogether.
The given equation is,
Part 1:
Solve the above equation for n.
Using distributive property of multiplication,
Now, group the like terms.
Now, add the like terms.
0=-12 is a false statement.
Since we obtained a false statement, the given equation has no solution.
So, option b is correct.
Part 2:
The option (a) is n=3.
If while solving an equation, a single value is obtained for the variable, then the equation has only a single solution. If n=3 is obtained after solving the equation, then the student should chose option (a) as the answer.
The option (b) is "no solution".
While solving an equation, if we obtain an equation which is mathematically false, then the equation will have no solution. So, no solution is chosen when no value is obtained for n and the final equation is mathematically false.
The option (c) is "infinitely many solutions".
While solving an equation, if we obtain an equation which is mathematically correct such as 0=0, 7=7 etc., then the equation will have infinietly many solutions. So, infinitely many solutions is chosen when no value is obtained for n and the final equation is mathematically correct.
1. y = 2/3x - 5
2. 4x - 6y = 30
Divide 2. by 2
3. 2x - 3y = 15
Substitute 1. into 3.
4. 2x - 3(2/3x - 5) = 15
5. 2x - 2x + 15 = 15
6. 15 = 15
False. There are an infinite number of solutions.
9514 1404 393
Answer:
- 9x -5y = 4 . . . . standard form
- 9x -5y -4 = 0 . . . . general form
- y -1 = 9/5(x -1) . . . . . point-slope form
Step-by-step explanation:
The intercepts are ...
x-intercept = -4/-9 = 4/9
y-intercept = -4/5
Knowing these intercepts means we can put the equation in intercept form.
x/(4/9) -y/(4/5) = 1
The fractional intercepts make graphing somewhat difficult. However, we observe that the sum of the x- and y-coefficients is equal to the constant:
-9 +5 = -4
This means the point (x, y) = (1, 1) is on the graph. Knowing a point, we can write several equations using that point.
We like a positive leading coefficient (as for standard or general form), so we can multiply the given equation by -1.
9x -5y = 4 . . . . . standard form equation
Adding -4, so f(x,y) = 0, puts this in general form.
9x -5y -4 = 0
We can eliminate the constant by translating a line from the origin to the point we know:
9(x -1) -5(y -1) = 0
This can be rearranged to the traditional point-slope form ...
y -1 = 9/5(x -1)
Yet another equation can be written that tells you the slope is the same everywhere:
(y -1)/(x -1) = 9/5
These are only a few of the many possible forms of a linear equation.
A. 2.4971.1 in because that is the biggest number compared to all of the others which will make it the tallest and closest to the surface of the yoga ball.
