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Lelechka [254]
3 years ago
14

Choose the correct x-intercepts for the following quadratic function.

Mathematics
1 answer:
natali 33 [55]3 years ago
8 0
Brainly doesn't automatically "know" every part of the problems you post here; you have to ensure that your post includes everything in the original problem.

We can still have some fun with answer choice  <span>x = 1, x = 3:

An associated quadratic function would have the form y = a(x-1)(x-3).  Just supposing that the point (2, 5) were on the graph, then this   </span>y = a(x-1)(x-3) would become   5 = a(2-1)(2-3), or 5 = a(1)(-1), or 5 = -a, or a = -5.

Thus, the equation of the parabola would be y = -5(x-1)(x-3), or, in the more usual form, y = -5(x^2 - 4x + 3).

Complete the square to find the vertex:

Steal y = x^2 - 4x + 3 for a moment and complete the square:

x^2 - 4x + 3    =  x^2 - 4x + 4 - 4 + 3, or (x-2)^2  -  1

Subbing this back into    y = -5(x^2 - 4x + 3), we get

y = -5 [ (x-2)^2  -1 ], or   y = -5(x-2)^2 + 5.  This shows that the vertex is at (2, 5), that the graph opens downward, and the graph is symm. about the line x = 2.  

Having fun yet?



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Which is equivalent to 64 Superscript one-fourth?
Schach [20]

Answer:

2 RootIndex 4 StartRoot 4 EndRoot

Step-by-step explanation:

we have

64^{\frac{1}{4}}

Decompose the number 64 in prime factors

64=2^{6}=2^{4}2^{2}

substitute

64^{\frac{1}{4}}=(2^{4}2^{2})^{\frac{1}{4}}=2^{\frac{4}{4}}2^{\frac{2}{4}}=2\sqrt[4]{4}

7 0
3 years ago
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on a large college campus, 84% of the students report drinking alcohol within the past month, 33% report using some type of toba
Natasha_Volkova [10]

Answer:  0.31

Step-by-step explanation:

Let A denotes the event that the students report drinking alcohol and B denotes the students report using some type of tobacco product .

Given : P(A) =0.84   ; P(B)=0.33    and        P(A∪B)=0.86

We know that P(A\cap B)=P(A)+P(B)-P(A\cup B)

Then, the probability that the student both drunk alcohol and used tobacco in the past month is given by :-

 P(A\cap B)=0.84+0.33-0.86=0.31

Hence, the probability that the student both drunk alcohol and used tobacco in the past month = 0.31

5 0
3 years ago
If a 12-sided regular polygon rotates about its center, at which angle of rotation will the image of the polygon coincide with t
Andreas93 [3]
D) 30

A polygon can rotate a total of 360. This one has 12 sides and 12 angles that are all congruent. So to coincide with original image, it must rotate 1/12 of the way around

360/12=30
3 0
3 years ago
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Can someone plz help me with this
Anna007 [38]
I’m not sure that this is 100% right but i would do tan37° x 12 to get: -10.1
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3 years ago
Does this graph represent a function ? Why or why not ?
balu736 [363]

Answer:

D) It passes the horizontal line test

Step-by-step explanation:

In order for a line to represent a function it must pass the vertical line test.

To apply the horizontal line test, take a pencil and hold it vertically. Then, move it across the graph from left to right. If it intersects the line at 1 point everywhere along the line, then it is a function (functions can only have 1 Y value for every X value).

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