Answer:
B
Step-by-step explanation:
The first step of any problem solution is <em>look at the given information</em>. Here, we are given the equation of a line in (almost) standard form, and we want to match the equation with a graph. We notice that the coefficients of the variables are factors of the constant, so the intercepts are integer values easily found.
We can compare the line's intercepts to those shown on the graphs to choose the correct graph.
<u>x-intercept</u>
The x-intercept is found by setting y=0 and solving for x:
-3x +5(0) = -15
x = -15/-3 = 5
Only one graph shows a line with an x-intercept of (5, 0): graph B.
<u>y-intercept</u>
We can confirm graph B by finding the y-intercept. For this, we set x=0 and solve for y.
-3(0) +5y = -15
y = -15/5 = -3
Graph B also has a y-intercept of (0, -3), confirming it is the correct choice.
_____
<em>Additional comment</em>
Part of "look at the given information" is "look at the answer choices." What you look for is <em>what makes one choice different from the others</em>. Here, the lines have x- and y-intercepts of ±3 and ±5. The y-intercepts are the same for graphs A and B, and for graphs C and D.
However, the x-intercepts are different for all of them. This tells you that finding the x-intercept is the fastest way to find the correct graph.
Answer:
1. -141
2. 0.98
3. 62.13
Step-by-step explanation:
1. 35 - 176 -> 176 - 35 = 141, then just make it negative
2. 0.55 x 1.79 = 0.9845 -> 0.98
3. 11.38 x 5.46 = 62.1348 -> 62.13
Hi there!
2x - 4y = 9
Begin by isolating the y variable by moving 2x to the right-hand side of the equation. (Subtract 2x from both sides):
2x - 2x - 4y = 9 - 2x
-4y = 9 - 2x
Further isolate by dividing both sides by -4:
-4y / (-4) = (9 - 2x) / (-4)
y = -9/4 - 2x/(-4)
Simplify further:
y = -9/4 + 1/2x
y = 1/2x - 9/4
The "b" value is the y-intercept, therefore:
x = 0 at y = -9/4
Answer: See explanation
Step-by-step explanation:
a) How much-water will be in the water storage facility in 25 minutes?
Since the city water workers begin filling it at a rate of 500 gallons per minute, in 25 minutes they'll have filled:
= 500 × 25
= 12500 gallons
It immediately begins sending some of its water into the city's water pipes at a rate of 150 gallons per minutes. In 25 minutes, they'll have sent:
= 150 × 25
= 3750 gallons
Amount that'll be left in the tank will be:
= 12500 - 3750
= 8750 gallons
b. Write an equation to find the number of gallons,y,in the storage facility after x minutes. This will be:
y = (500 × x ) - (150 × x)
y = 500x - 150x
y = 350x
