Answer:
x=1 and x=-4
Step-by-step explanation:
Put it into your calculator, go to graph and look at which points it says ERROR.
The Equation is y=+5
Why:
You want to find the equation for a line that passes through the point (-4,5) and has a slope of .
First of all, remember what the equation of a line is:
y = mx+b
Where:
m is the slope, and
b is the y-intercept
To start, you know what m is; it's just the slope, which you said was . So you can right away fill in the equation for a line somewhat to read:
y=x+b.
Now, what about b, the y-intercept?
To find b, think about what your (x,y) point means:
(-4,5). When x of the line is -4, y of the line must be 5.
Because you said the line passes through this point, right?
Now, look at our line's equation so far: . b is what we want, the 0 is already set and x and y are just two "free variables" sitting there. We can plug anything we want in for x and y here, but we want the equation for the line that specfically passes through the the point (-4,5).
So, why not plug in for x the number -4 and for y the number 5? This will allow us to solve for b for the particular line that passes through the point you gave!.
(-4,5). y=mx+b or 5=0 × -4+b, or solving for b: b=5-(0)(-4). b=5.
Answer:
The graph of 3rd picture is correct Option.
Step-by-step explanation:
Let x =green and y = carrots
We make equations of the given sentences and then plot them to find the correct answer.
The equation for A salad made such that the difference between twice the ounces of greens and the ounces of carrots is at least 3 is
2x-y ≥ 3
The equation for the sum of the ounces of greens and twice the ounces of carrots is less than 4.
x+2y < 4
We plot both the equations and gain the graph.
The graph is attached in the figure.
The graph of 3rd picture is correct Option.
Answer:
When you multiply through by the LCD and solve the resulting quadratic equation, you get solutions x=2 and x=1. However when we try to check the solution x=2, it causes the first and last denominators to become 0, which is undefined. However x=1 checks.
Step-by-step explanation:
Step-by-step explanation:
the lines are all going through the origin (0, 0), so the y-intercept is the same (0) for all 4.
therefore, we only need to focus on the slope of the lines to see which two are identical.
the slope is the ratio "y coordinate change / x coordinate change" when going from one point to another on the line.
one point is for all 4 lines the origin, so the coordinate changes are the point coordinates themselves, and we only need to calculate y/x and see, which ones are equal.
105/15 = 7/1 = 7
150/12 = 50/4 = 25/2 = 12.5
120/10 = 12
96/8 = 12
so, C and D have identical slopes and therefore identical graphs, and have therefore the same costs of T-shirts.