A system is inconsistent when there are no solutions between the two equations. Graphically, the lines will be parallel (they never meet!) and the slopes will be the same. But the y-intercepts will be different.
Let's look at the four equations, with each solved as needed, into y = mx + b form.
A: 2x + y = 5
y = 5 - 2x
y = -2x + 5
Compared to y = 2x + 5, the slopes are different, so this system won't be inconsistent. Not a good choice.
B: y = 2x + 5
Compared to y = 2x + 5, the slopes are the same and the y intercepts are the same. This system has infinitely many solutions. Not a good choice.
C: 2x - 4y = 10
-4y = 10 - 2x
-4y = -2x + 10
y = 2/4x -10/4
Here the slopes are different, so, like A this is not a good choice.
D: 2y - 4x = -10
2y = =10 + 4x
2y = 4x - 10
y = 2x - 5
Compared to y = 2x + 5 we have the same slopes and different y intercepts. The lines will be parallel and the system is inconsistent.
Thus, D is the best choice.
Answer:
We need to find the first term. We can use the formula
an = a1 + d(n - 1)
to solve for a1. We already know the 12th term, a12, common difference, d, and nth sequence, n.
a12 = -36
d = -4
n = 12
-36 = a1 - 4(12 - 1)
-36 = a1 - 44
8 = a1
The first term is 8. Therefore, your formula is
an = 8 - 4(n - 1)
an = -4n + 12
Then use this formula to graph.
n is the independent variable.
an is the dependent variable.
Your graph will be a line.
n | an
___________
1 8
2 4
3 0
4 -4
5 -8
6 -12
Step-by-step explanation:
give me brainliest.
<span>The volume of each celluloid die is (.25 x .25 x .25) = 0.015625 cubic inch.
To manufacture 24,000 of them, you need to start with <u>at least</u>
(24,000) x (0.015625) = <u>375 cubic inches</u>.
I don't know how celluloid is sold, so you should also keep in mind that
375 cubic inches = about 207.8 fluid ounces, or about 6.5 quarts.
I'm sure a bit more than that was used in the manufacture, since
there's always some wasted, spilled, or trimmed off of the edges. </span>
Standard form: Ax + By = C
Y = 7/5x - 2
Subtract y and add 2
7/5x - y = 2
Multiply by 5
Solution: 7x - 5y = 10
Answer:
Shakespeare uses the language of the characters to achieve this multifaceted quality. Through the use of language (specifically Iago, Othello, and Desdemona), Shakespeare propels the plot, engages the audience, creates dramatic irony, and reveals the characters’ psyches.
