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3 years ago

Simplify. (−5 p 4 z 6 u) 3

1 answer:

5 0

In this expression, solve the multiplication in the parenthesis.
-5×p×4×z×6×u
since multiplication is commutative,
-5×p×4×z×6×u=-5×4×6×p×z×u= -120pzu

Now multiply this by 3.
(-5p4z6u)3 = (-120pzu)3 = -360pzu

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The correlation coefficient is used to determine: a. a specific value of the y-variable given a specific value of the x-variable

SSSSS [86.1K]

Answer:

c. the strength of the relationship between the x and y variables

Step-by-step explanation:

The correlation coefficient refers to the relationship between the two variables

Moreover, it has two mainly correlations i.e

Perfect positive correlation: In this, the correlation coefficient is 1

And, the other is negative correlation: In this, the co

if the correlation coefficient is 1 we have a perfect positive correlation and if the correlation coefficient is -1 than it would be a negative correlation

It lies value between the -1 and 1

hence, the correct option is c.

4 0

3 years ago

Identify the quadratic function from the four functions

Alchen [17]

Quadratic Function is a function that takes the equation form of:

$\large \boxed{y = a {x}^{2} + bx + c}$

where a ≠ 0. However the form of Quadratic Function above can also be called "standard form" or general form because it is commonly used when defining the function. Quadratic Functions also have other two forms which are intercept form and vertex form.

Vertex Form

$\large \boxed{y = a {(x - h)}^{2} + k}$

Intercept Form

$\large \boxed{y = (ax - b)(bx - c)}$

The intercept form can be expressed as y = (x-a)(x-b) depending on the other perspective.

If you look at all four functions, you will notice that only two of functions have the second degree as highest degree while the third function has third degree as highest and fourth function has fourth degree. Recall the definition of Quadratic Function above that the highest degree of Quadratic Function can only be second degree (squared, x² as example). Therefore we can rule out the x³ and -2x⁴ away.

So our only quadratic functions are:

$\large{ \begin{cases}y = - {x}^{2} - 4 \\ y = {(x - 1)}^{2} - 7 \end{cases}}$

As for the f(x) = -x²-4. The equation is in standard form which is y = ax²+bx+c. The second equation is in vertex form which is y = a(x-h)²+k.

Answer

The only quadratic functions are f(x) = -x²-4 and f(x) = (x-1)²-7
-x²-4 is in standard form.
(x-1)²-7 is in vertex form.

Hope this helps and let me know if you have any doubts.

Also let me know if you want me to convert the function into other form. For ex. convert the vertex form to standard form.

Happy Learning and Good Luck with your assignment!

4 0

3 years ago

When the equation a – bx = cx + d is solved for x, the result is x = .

pav-90 [236]

The correct answer is:

x=6/7.

Explanation:

First we find the general form by solving for x:

a-bx = cx+d

Subtract a from each side:

a-bx-a = cx+d-a

-bx = cx+d-a

Subtract cx from each side:

-bx-cx = cx+d-a

-bx-cx = d-a

We can divide both sides by -1:

(-bx-cx)/-1 = (d-a)/-1

bx+cx = -d+a

bx+cx = a-d

Factor out an x on the left:

x(b+c) = a-d

Divide both sides by (b+c):

(x(b+c))/(b+c) = (a-d)/(b+c)

x = (a-d)/(b+c)

In this equation, a = 5, b = 6, c = 8 and d = 17:

x = (5-17)/(6+8) = -12/14

This simplifies to -6/7.

8 0

3 years ago

Read 2 more answers

One more than the product of 19 and a number

djverab [1.8K]

Hello,

Let's assume n the number:

1+19*n

5 0

3 years ago

Sophia throws a dart at this square-shaped target: A square is shown with sides labeled 9. A shaded circle is shown in the cente

WINSTONCH [101]

Step-by-step explanation:

Find the area of each part

The circle

C = πr² = 3.14*(3/2)² = 7.07

The square

S = a² = 9² = 81

The area within the square but outside of circle

A = S - C = 81 - 7.07 = 73.93

Probability of hitting the black circle inside the target

P = 7.07/81 = 0.09 (rounded)

This is closer to 0 than to 1

Probability of hitting the white portion of the target is

P = 73.93/81 = 0.91 (rounded)

This is closer to 1 than to 0

8 0

2 years ago

Read 2 more answers