Answer:
x=-7
y=6
Step-by-step explanation:
7x+10y=11
4x+3y=-10
-3(7x+10y=11
10(4x+3y=-10
-21x-30y=-33
40x+30y=-100
19x = -133 (divide 19 on both sides)
x= -7
Now put the x in one of the original questions.
7(-7)+10y=11
-49+10y=11 (Add 49 to both sides)
10y=60 (Divide 10 on both sides)
y=6
X ≥ 0
4 < √x < 9 ⇒ 4² < x < 9² ⇒ 16 < x < 81
x = 5² = 25 or x = 6² = 36 or x = 7² = 49 or x = 8² = 64
x∈(16; 81)
Answer:
Parallel
<u>Step-By-Step Explanation:</u>
Put the Function in Slope Intercept Form and Find the Slope of 6x+3y = 15
6x+3y = 15
3y = -6x + 15
3y/3 = -6x/3 + 15/3
y = -2x + 5
<u>We can see that the slope of 6x+3y = 15 is -2</u>
Put the Function in Slope Intercept Form and Find the Slope of y–3=–2x
y–3=–2x
y = -2x + 3
Here are our two Functions In Slope Intercept Form
y = -2x + 5
y = -2x + 3
<u>Remember the m = slope and the b = y-intercept</u>
y = mx + b
y = -2x + 5
y = -2x + 3
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We can see both equations have the same slope of -2 so this means they could be parallel because parallel functions have the same slope but coinciding functions have the same slope too. To tell if the two functions are coinciding, the functions need to have the same slope and the same y-intercept. Looking at the two functions, we can see they have the same slope of -2 but their y-intercept are different so this makes the two functions parallel.
I don't have the grid, so you'll have to actually plot the points and draw the line yourself. But I can help you calculate some points to plot.
Let's start off with 0 gallons of shampoo. So 0 times $40 = $0 and we have a fixed cost of $400. So the result is $0 + $400 = $400. And there's your first point (0, 400).
Now let's do 1 gallon of shampoo. 1 times $40 = $40 and we have to add the fixed cost of $400, so the result is $40 + $400 = $440. And your second point is (1,440).
In fact, we can create the function
c(x) = 40*x + 400
to express the cost for any amount of shampoo. So let's calculate 3 more points
c(2) = 40*x + 400 = 40 * 2 + 400 = 80 + 400 = 480
c(3) = 40*x + 400 = 40 * 3 + 400 = 120 + 400 = 520
c(4) = 40*x + 400 = 40 * 4 + 400 = 160 + 400 = 560
So 3 more points to plot are (2,480), (3,520), and (4,560).
And you've gotten your 5 points. They are (0,400), (1, 440), (2, 480), (3, 520), and (4, 560). Just plot them on your chart and draw a straight line through all 5 of them. And they will be in a straight line, if they're not, then you plotted them incorrectly.
Step-by-step explanation: