What is the answer to this question?

( Identify the terms, their coefficients for each of the following expressions)

sweet-ann [11.9K]

Answer:

i. terms = 5xy(z)^2 , -3zy

coefficient = 5 and -3

ii. terms = 1 , X ,x^2

coefficient = 1 , 1

iv. terms = 3 , -pq , qr, -rp

coefficient = -1 ,1 , -1

v. terms = X/2 , y/2 , -xy

coefficient= 1/2 ,1/2 and -1

7 0

3 years ago

The cost to produce a product is modeled by the function f(x) = 5x2 − 70x 258, where x is the number of products produced. compl

ad-work [718]

The minimum cost to produce the product is $7.

What are functions?

A function from a set X to a set Y allocates exactly one element of Y to each element of X.

To determine the minimum cost:

We have to determine the minimum cost of producing this product.

Since $f(x) = 5x^{2} -70x+258$ .

Now, consider the equation $5x^{2} -70x+258= 0$ .

Dividing the above equation by 5, we get

$x^{2} -70x/5+258/5=0\\x^{2} -14x+258/5=0$

Now, considering the coefficient of 'x', dividing it by '2' and then adding and subtracting the square of the number which we got after dividing.

Since the coefficient of 'x' is 14, and half of 14 is '7'.

So, adding and subtracting from the above equation.

$x^{2} -14x+(7)^{2} -(7)^{2}+258/5=0\\x^{2} -14x+49 -49+258/5=0\\(x-7)^{2} -49+258/5=0\\(x-7)^{2} +258-245/5=0\\(x-7)^{2} +13/5=0\\5(x-7)^{2} +13=0$

Now, we have to determine the minimum cost to produce the product.

Since $f(x) = 5x^{2} -70x+258$ .

$f'(x) = 10x-70$

Now, let f'(x)=0

$10x-70=0\\10x=70$

Therefore, x=7

Now, consider which is greater than 0.

Therefore, x= 7 is the minimum cost.

Know more about functions here:

brainly.com/question/25638609

#SPJ4

5 0

2 years ago

A right triangle with vertices J(4, 0), K(0,0), and L(0,5) is rotated around the x-axis. To the nearest tenth of a unit, what is

statuscvo [17]

This is the concept of graphs and volume of the solid figures, given that the triangle J,K,L was rotated along the x-axis, the resultant figure was cone with with radius of 5 units and a height of 4 units;
The volume of a cone is given by;
V=πr^2(h/3)
r=5 units
h=4 units
V=π*5^2*(4/3)
V=104.72 units^3
the answer is B]

5 0

3 years ago

What is the relationship between the ratios?

salantis [7]

Answer: proportional

Step-by-step explanation: cuz i took the test and i was correct

4 0

3 years ago

Help if you can but this is kinda urgent any help is welcome tho

Ivanshal [37]

Answer:

(Change in y)/(change in x) is defined as the average rate of change.

For a linear equation:

y = a*x + b

A is the average rate of change, and is called the "slope" of the linear equation, and this is a constant.

Then the sentence will be:

"The average change between two ordered pairs (x,y) is the ratio (change in x)/(change in y)

In a linear function, this is called the slope, and it is constant"

4 0

4 years ago