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LiRa [457]
3 years ago
6

Write a quadratic function whose graph has a vertex of (3, 2) and passes through the point (4, 7), using f(x) = a(x - h)^2 + k (

vertex form).
THANK YOU FOR HELPING!!!
Mathematics
1 answer:
astra-53 [7]3 years ago
5 0

Answer: f(x)=-2/9(x+1^+3

Step-by-step explanation:

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valentinak56 [21]

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The answer is 26 1/2

Step-by-step explanation:

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Plz answer correctly. its for a test
4vir4ik [10]

Answer:

the third one

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3 years ago
a random sample of high school seniors were asked whether they were applying for college. the resulting confidence interval for
Artist 52 [7]

Using the confidence interval, the margin of error is 0.02.

In the given equation we have to find the margin of error.

The resulting confidence interval for the proportion of students applying for college is (0.65,0.69).

Let p = population proportion of students applying for college

P = Sample proportion of students applying for college

ME = margin of error

So the confidence interval

CI = (P-ME, P+ME)

From the given question;

(P-ME, P+ME) = (0.65,0.69)

So lower bound= P-ME = 0.65............................(1)

Upper Bound = P+ME = 0.69............................(2)

Simplifying the Equation 1 and 2

Add equation 1 and 2 we get

2P = 1.34

Divide by 2 on both side we get

P = 0.67

Putting the value of P in the equation 2

P+ME = 0.69

0.67+ME=0.69

Subtract 0.67 on both side we get

ME = 0.02

Hence, the margin of error is 0.02.

To learn more about margin of error link is here

brainly.com/question/10501147

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3 0
1 year ago
Find the sum of the given arithmetic series. 24 + 48 + 72 + 96 +...+ 480
Alja [10]

Answer:

5040

Step-by-step explanation:

The given series is :

24 + 48 + 72 + 96 +...+ 480

The first term, a= 24

Common difference, d = 24

The last term, a_n=480

Let there are n terms in the AP.

So,

a_n=a+(n-1)d\\\\480=24+(n-1)24\\\\480=24+24n-24\\\\n=20

There are 20 terms in the series. The sum of 20 terms is :

S_{20}=\dfrac{n}{2}(2a+(n-1)d))\\\\=\dfrac{20}{2}\times (2(24)+19(24))\\\\=5040

So, the sum of the given arithmetic series is equal to 5040.

8 0
2 years ago
I need help on these problems please
Art [367]
The remote interior angles of a triangle are basically the two angles that do not share a vertex with and are opposite to the exterior angle.

5. ∠1 and ∠2
6. ∠2 and ∠3
7. ∠1 and ∠3

Because the exterior angle of a triangle is equal to the remote interior angles we can set up the following equations:
8.
x + 80 = 105 \\ x = 105 - 80 \\ x = 25
9.
x + 72 = 135 \\ x = 135 - 72 \\ x = 63

6 0
3 years ago
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