Suppose the value of y and the value of x vary together at a constant rate of change (so that δy = 0.75. δx ), and y = 1.5 when x = 3 .a. what is the constant rate of change of y with respect to x? b. write a formula that expresses y in terms of x. c. what is the value of y when x=103?

Answers

its very big question plz make it small

answer:

the first anwser is x

step-by-step explanation:

A, B

Step-by-step explanation:

21.

If you divide y by x (for example 51 by 3)for all of them you would get 17

Making the equation y=17x

22.

Since x = hours you plug in 3.5 for x

A .Length = x+5\\breadth = x-2

B. domain of f(x)= x^2+3x-10 here is all values of x > 2 .

Step-by-step explanation:

Correct question is : the function f(x)= x^2+3x-10models the area of a rectangle. a: describe the length and width of the rectangle in terms of x b: what is a domain for above function in relation to rectangle . Let's solve:

a: describe the length and width of the rectangle in terms of x

Let's factorise f(x)= x^2+3x-10 :

f(x)= x^2+5x-2x-10

f(x)= x(x+5)-2(x+5)

f(x)= (x+5)(x-2)

Since , ⇒ f(x)=length(breadth) So

Length = x+5\\breadth = x-2 .

b: what is a domain for above function in relation to rectangle

Since area is always > 0 , and (length , breadth)>0 So,

f(x)= (x+5)(x-2)0\\x0 \\x2 Therefore, domain of f(x)= x^2+3x-10 here is all values of x > 2 .

21 is A and 22 is B

Step-by-step explanation:51/3= 17

 1. A. y=17x

2.  $59.50

Step-by-step explanation:

1. In the table , it can be seen that as x increases y increases with the proportionality constant k = \dfrac{y}{x}=\dfrac{51}{3}=\dfrac{85}{5}=\dfrac{119}{7}=17,.

Equation of direct variation between  x and y : y=kx

Put k= 17 , we get

y=17x , which is the required equation.

So correct option is "A".

2. To find : The charge for renting a machine for 3.5 hours.

Put x= 3.5 in above equation , we get

y=17(3.5)=59.5

Hence, the  charge for renting a machine for 3.5 hours is $59.50.

So correct option is "B".

2. $59.50 I think im not sure
1. 4 (6 + 7) is the same as (4 • 6) + (4 • 7)
    X = 4
2. 6 • 45 = 270
a. 270, (6 • 40) + (6 • 5) = 240 + 30 = 270
b. 210, (6 • 40) - (6 • 5) = 240 - 30 = 210
c. 270, (6 • 50) - (6 • 5) = 300 - 30 = 270
    A. 270, C. 270
3. 6m + 7n + 5m - 3n, combine like terms, 6m + 5m = 11m, 7n - 3n = 4n
    B. 11m + 4n
4. 2y^3 - 4y^2 + y + y^3, exponents tell you what are like terms
    C. 2y^3 and y^3
5. 4x^3 - 3x^2 + x + 3x^3, combine like terms, then put in descending order
    D. 7x^3 - 3x^2 + x
1. b
2. c
3. b
those are the answers!

a. 0.75

b. y = 0.75 x - 0.75

c. 76.5

Step-by-step explanation:

a. What is the constant rate of change of y with respect to x?

We know that the value of y and the value of x vary together at a constant rate of change so that Δy = 0.75. Δx. Then, the rate of change is:

Δy / Δy = 0.75

b. Write a formula that expresses y in terms of x.

The formula of the linear expression that relates x and y is:

y = 0.75 x + b

where,

0.75 y the slope

b is the intercept

We know that when x = 3, y = 1.5. Then,

1.5 = 0.75 . 3 + b

b = -0.75

The resulting formula is

y = 0.75 x - 0.75

c. What is the value of y when x = 103?

When x = 103

y = 0.75 . 103 - 0.75

y = 76.5



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