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bogdanovich [222]
3 years ago
11

What are the zeros of the function defined by 2x + 11x- 6?

Mathematics
1 answer:
asambeis [7]3 years ago
6 0
Note --> As you're writing 'zeroes' , I assume there is a typing mistake and you've given a Quadratic equation in the question

f(x) = 2 {x}^{2} + 11x - 6 \\ \\ f(x) = (2x - 1)(x + 6) = 0

Hence , the roots are 1/2 and -6
The graph attached confirms the same ,

Hope it helps you :)

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I NEED THE ANSWER PLS :)
Andre45 [30]

Answer:

x = 48

Step-by-step explanation:

It is a 90 degree angle. So first you would subtract 42 from 90 degrees. Then you'd get your answer! Hope this helped

4 0
3 years ago
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Example of an irrational number that is less than 2 and greater than 1.5
disa [49]

For this case, the first thing you should do is take into account the irrational number definition.

An irrational number is one that can not be written as the quotient between two whole numbers.

Their number of decimals is unlimited and they are not periodic.

An irrational number within the specified domain is:

π/2 = 1.570796327    

Answer:

an example of an irrational number that is less than 2 and greater than 1.5 is:

π/2 = 1.570796327  

6 0
3 years ago
Adam has been asked to post a parcel for a family member. He has been told that the parcel weighs 12 lbs 8 oz. 1lb = 16 oz 1lb =
yarga [219]

Answer:

Weight of parcel to the nearest whole kilogram = 6 kg

Explanation:

 Weight of parcel = 12 lbs 8 oz

 1lb = 16 oz  also we have 1lb = 454 g

 Weight of parcel = 12 lbs 8 oz = 12 + (8/16) lbs = 12.5 lbs

  Weight of parcel in g = 12.5*454 = 5675 g

  Weight of parcel = 5675 g = 5.675 kg

  Weight of parcel to the nearest whole kilogram = 6 kg


8 0
3 years ago
A parabolic microphone used on the sidelines of a professional football game uses a reflective dish 24 in. wide and 5 in. deep.
madreJ [45]

Answers:

(1 Question in written form): 7.2 inches.

(2 Question in the picture): Option (D) (y+1)^2=2(x+3) and  F=(\frac{-5}{2},-1) and x=\frac{-7}{2}

Explanations:

1. (Question in written form):

First you need to know the standard form of a parabola (considering it opens in +x direction and the vertex of the parabola is at origin), which is as follows:

(y-k)^2 = 4p(x-h)

Since the vertex of the parabola is at origin, h = 0 and k = 0. The above equation will now become:

y^2 = 4px ---- (A)


Where p is the distance between the vertex and the focus of a parabola, which we need to find (or where the microphone should be placed).

As the vertex is assumed to be placed at the origin, the parabolic dish, which is 24 inches wide, will be split evenly on both sides of the y axis (as the opening of the parabola is in x-axis—stated above), giving the distance of 12 inches from each sides of y axis (12 inches + 12 inches = 24 inches). Since it (parabolic microphone) is 5 inches deep, the coordinates will become: (5, +12) and (5, -12).

Plug any of the points—(5,+12) or (5,-12)—in equation (A), you will get the following:

(12)^2 = 4p(5) \\ 144 = 4p(5) \\ \frac{144}{5} = 4p \\ \frac{144}{5*4} = p \\ p=7.2\thinspace inches

Hence, the correct answer is 7.2 inches.


2. (Question in the picture):

First we need to write the following equation in the standard form:

y^2 - 2x + 2y -5 = 0 ----- (B)


The standard form of parabola is:

(y-k)^2 = 4p(x-h) ----- (C)


Rearrange equation (B) and solve as follows:

y^2-2x+2y-5=0 \\ y^2 + 2y - 5 = 2x \\ y^2 + 2y +1 = 2x + 6 \\ y^2 + y + y + 1 = 2(x+3) \\ y(y+1)+1(y+1)=2(x+3)\\(y+1)^2=2(x+3)

You can write the above equation as follows:

(y-(-1))^2 = 4(\frac{1}{2})(x-(-3)) ----- (D)

Now compare equation (D) with (C), we will get:

Focus = (h+p, k) = (-3+(1/2), -1)

Focus: (\frac{-5}{2},-1)


Now, to find x, use the following formula:

x = h - p

x = -3-\frac{1}{2} = \frac{-7}{2}


Hence, the correct option is (D) -> F=(\frac{-5}{2},-1) and x=\frac{-7}{2}

4 0
3 years ago
IS THIS CUTE OR WHAT???
djyliett [7]

Answer

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Step-by-step explanation:

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