I need help please ASAP
1 answer:
When the sign is ≤ or ≥ ("less/greater than <u>or equal to</u>") the line is a solid line.
When the sign is < or >, the line is a dotted line.
When "y" is greater than, the shaded area is above the line.
When "y" is less than, the shaded area is below the line.
The inequality will be similar to the slope intercept form:
y = mx + b
"m" is the slope, "b" is the y-intercept(when x = 0)
Except that there won't be an equal sign
15. Isolate the "y" in the inequality:
x + y < 10
y < 10 - x
The line is dotted because there is no line underneath the sign, the shaded area will be below the line because y is less than, the slope is -1, and the y-intercept is 10.
16. y ≥ 3x - 4
The line is a solid line, the shaded area is above the line, the slope is 3, the y-intercept is -4.
17. Shorter shots(S) = 2 points
Longer shots(L) = 3 points
Tara wants to score AT LEAST 24 points in a game.
Your inequality is: 2S + 3L ≥ 24
It is ≥ because Tara wants to score at least 24 points, this means that she can/wants to score 24 points or more.
Tara can make:
3 two point basket(S), 6 three point basket(L) = 24 points
6 two point basket, 4 three point basket = 24 points
9 two point basket, 2 three point basket = 24 points
I'm not sure if you are allowed to do zero two/three point basket, but if you can then:
0 two point basket, 8 three point basket
12 two point basket, 0 three point basket
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Answer: Choice B) (2,0)
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Set the first piece equal to zero and solve for x
x^2 - 4 = 0
x^2 = 4
x = sqrt(4) or x = -sqrt(4)
x = 2 or x = -2
Keep in mind that the first piece y = x^2-4 is only graphed when x = 2 or larger, so we ignore x = -2. This is one x intercept, but there may be more. Let's check the other graph to see what we get.
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Set the second piece equal to zero and solve for x
x-2 = 0
x-2+2 = 0+2
x = 2
We get the same result as above in the prior section. Because of this, the two pieces connect at this junction point.
The x intercept x = 2 leads to the location (2,0). The x intercept always occurs when y = 0.
The graph below shows this.
side note: the red piece y = x^2 - 4 looks linear, but it's actually not a straight line. It's just a really stretched out curve.
