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3 years ago

What is the median of 40,33,37,54,41,34,27,39,35

Mathematics

1 answer:

Sauron [17]3 years ago

8 0

Answer:

It's 37

Step-by-step explanation:

The given data set is ;

40,33,37,54,41,34,27,39,35

We arrange the data set in ascending order to obtain;

{27,33,34,35,37,39,40,41,54}

The median is the middle number {37}

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Let f(x)=x^2+17x+72 What are the zeros of the function?

densk [106]

Answer:

The zeros of the given function $f(x)=x^2+17x+72$ is $\left(x+8\right)\left(x+9\right)$ are -8 and -9.

Step-by-step explanation:

Given : Function $f(x)=x^2+17x+72$

We have to find the zeros of the functions.

Consider the given Function $f(x)=x^2+17x+72$

Since, we have to find the zeros of the given functions.

Put f(x) = 0

Thus, $x^2+17x+72=0$

We can solve the given equation using middle term splitting method.

17x can be written as 8x + 9x

$x^2+17x+72=0$ can be written as $x^2+8x+9x+72=0$

Taking x common from first two term and 9 common from last two terms, we have,

$x(x+8)+9(x+8)=0$

Simplify, we have,

$\left(x+8\right)=0$ or $(x+9\right)=0$

x = -8 and x = -9

Apply zero product rule, $a\cdot b= 0 \Rightarrow a=0 \ or \ b=0$

$\left(x+8\right)\left(x+9\right)=0$

Thus, The zero of the given function $f(x)=x^2+17x+72$ is $\left(x+8\right)\left(x+9\right)$ are -8 and -9.

3 0

3 years ago

Which of the following describes the correct process for solving the equation 2X -6 equals 22 and arrives at the correct solutio

sattari [20]

17boobs is the correct pp

8 0

4 years ago

- Polynomials p(x) = 2ax2 - 4x + 2 and

Olin [163]

$p(x) = g(x) \\ = > 2 {ax}^{2} - 4x + 2 = (5 + a) {x}^{2} - 4x + 2 \\ = > 2 {ax}^{2} - 4x + 2 = 5 {x}^{2} + {ax}^{2} - 4x + 2 \\ = > 2 {ax}^{2} - {ax}^{2} - {5x}^{2} - 4x + 4x = 2 - 2 \\ = > {ax}^{2} - 5 {x}^{2} = 0 \\ = > {x}^{2} (a - 5) = 0 \\ = a - 5 = 0 \\ = > a = 5$

Answer:

a = 5

Hope you could understand.

If you have any query, feel free to ask.

7 0

2 years ago

Anthony bikes a 16.2 mile long trail. If he bikes it for 4 times, how far will he have traveled? Draw a bar diagram to help you.

guapka [62]

16.2 * 4 = 64.8 miles

Anthony bikes 64.8 miles

3 0

4 years ago

48:15

AlladinOne [14]

Answer:

all numbers greater than or equal to -1

Step-by-step explanation:

Let's find the vertex.

Since the function is in factored form, I'm going to find the zeros.

The average of the zeros will give me the x-coordinate of the vertex.

I can then find the y-coordinate of the vertex by using the equation

y=(x-4)(x-2).

Also the parabola is open up since the coefficient of x^2 is positive (or 1 in this case).

So the range has something to do with the y's. It is where the function exist for the y-values.

So the range for this one since the parabola is open up will be of the form

[y-coordinate of vertex , infinity).

So let's begin.

The zeros can found by solving (x-4)(x-2)=0.

This means we need to solve both x-4=0 and x-2=0.

x-4=0 gives us x=4

x-2=0 gives us x=2

Now the average of our x-intercepts (or zeros) is (4+2)/2=6/2=3.

So the x-coordinate of the vertex is 3. To find the y-coordinate of the vertex we are going to use y=(x-4)(x-2) where x=3.

Plug in: y=(3-4)(3-2)=(-1)(1)=-1.

So the range is $[-1,\infty)$

or all numbers greater than or equal to -1

6 0

3 years ago

Read 2 more answers