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Snowcat [4.5K]
3 years ago
11

The vertex of this parabola is at (3,-2). When the x-value is 4, the y value is 3. What is the coefficient of the squared term i

n the parabola's equation?
Mathematics
1 answer:
bazaltina [42]3 years ago
6 0

Answer:

the coefficient of the squared expression is 5.

Step-by-step explanation:

the equation of a parabola in its vertex form is y=a(x-h)²+k, where (h, k) is the vertex of the parabola.

in this case, h=3, k=-2, so y=a(x-3)-2

plug (4,3) in the equation: 3=a(4-3)²-2, a=5

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Step-by-step explanation:

You can check to see if the given point is in the solution set:

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2 years ago
Complete parts ​(a) through ​(c) below.
Yuki888 [10]

Answer:

a)t_{crit}= 1.34

b) t_{crit}=-2.539

c) t_{crit}=\pm 2.228

Step-by-step explanation:

Part a

The significance level given is \alpha=0.1 and the degrees of freedom are given by:

df = n-1= 15

Since we are conducting a right tailed test we need to find a critical value on the t distirbution who accumulates 0.1 of the area in the right and we got:

t_{crit}= 1.34

Part b

The significance level given is \alpha=0.01 and the degrees of freedom are given by:

df = n-1= 20-1=19

Since we are conducting a left tailed test we need to find a critical value on the t distirbution who accumulates 0.01 of the area in the left and we got:

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Part c

The significance level given is \alpha=0.05 and \alpha/2 =0.025 and the degrees of freedom are given by:

df = n-1= 11-1=10

Since we are conducting a two tailed test we need to find a critical value on the t distirbution who accumulates 0.025 of the area on each tail and we got:

t_{crit}=\pm 2.228

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3 years ago
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