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BARSIC [14]
3 years ago
12

Order the group of quadratic functions from widest to narrowest graph. y = 6x2, y = −4.5x2, y = −x2

Mathematics
2 answers:
melamori03 [73]3 years ago
7 0
To solve this problem you must keep on mind the following information: By definition, a quadratic function has the following form: 
 y=ax^{2}+bx+c

 Where a
 is the leading coefficient.
 If the leading coeficient is closer to zero, the parabola is widest,if it has a larger positive or negative value, the parabola is narrowest.
 Therefore, by knowing the information above, you have that the answer is:
 y=- x^{2}  \\ y=-4.5 x^{2}  \\ y=6 x^{2}
ruslelena [56]3 years ago
6 0

y = 6x2, y = −4.5x2, y = −x2


This should be correct answer:) He got it mixed up in his answer below when graphing.:)

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It would help a lot, and if able, please explain
Ksju [112]
Let one side of the square be x
all sides of the square are equal
A=x•x(area formula of a square)
240.25 = x^2
so then the lengths of the sides of the square is 15.5 in
3 0
3 years ago
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I really don’t get this , it’s graphing linear inequalities
ElenaW [278]

The first step in graphing a linear inequality is to graph the linear equality. The equation -x + 4y = -8 is equivalent to 4y = x - 8, which is equivalent to y = \frac{1}{4}x - 2. This is the equation for the line in slope-intercept form, so the line will have a slope of 1/4 and a y-intercept of -2 (see the first image). Notice that the line is solid, rather than dotted. This represents that points on the line are included in the solution, because the inequality sign is ≥, which is not a strict equality (< or >).

Next, we need to figure out which side to shade. To do so, simply pick any point (I like to use the point (0,0) because it makes the calculations easy) and see whether it satisfies the inequality. If it does, shade the side with that point, and if not, shade the opposite side of the graph.

Here we see that the point (0,0) does satisfy the inequality, since -(0) + 4(0) is 0, and 0 ≥ -8, so the top half of the graph should be shaded (see the second image).

6 0
2 years ago
Simplify the expression i⁸²
Elza [17]

Answer:

We can use a trick here. Let's look at the first few exponents of i to realize this:

i^0 = 1

i^1 = i

i^2= -1

i^3 = -i

i^4 = 1

i^5 = i

i^6 = -1

i^7 = -i

we can see that the pattern (1, i, -1, -i) repeats. Since 82/2 = 41, and 41 is only divisible by 1, i^41 = i, and i^2 = -1. -1*i = -i, so i^82 = -i.

Step-by-step explanation:

6 0
3 years ago
Any one that knows this please help thanks!
nignag [31]

You just need to plug the values: you have to multiply x and y^2, and then divide the result by -3.

So, if y=2, we have y^2=4

Which means that xy^2 = 5\cdot 4 = 20

And the final answer is \frac{20}{-3}

3 0
2 years ago
Ralph is 3 times as old as Sara. In 4 years, Ralph will be only twice as old as Sara will be then. Find Ralph's age now.
fiasKO [112]
Ralph is 12. If Ralph is 12 that means Sara is 4 (12/4=3). In 4 years Sara will be 8 and Ralph would be 16 (16/8=2).
4 0
2 years ago
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