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3 years ago

Is (8, 3) a solution of y > 3x − 4?

2 answers:

8 0

In (8, 3), x=8 and y=3.

3>3(8)-4, 24=4=10

3>20.

Obviously, 3 is NOT greater than 20, and therefore is the point is NOT a solution.

marishachu [46]3 years ago

3 0

Y > 3x - 4

x = 8
y = 3

3 > 3(8) - 4
3 > 24 - 4
3 > 20 (false)

No (8,3) is not a solution for y > 3x - 4

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Calculate the average rate of change of function on the interval (a,a+h). simplify your expression.Show all steps.

sammy [17]

Answer:

Please check the explanation.

Step-by-step explanation:

Given the function

$f\left(x\right)=\frac{3x+2}{2x-1}$

at x₁ = a,

$f\left(x_1\right)=f\left(a\right)=\frac{3a+2}{2a-1}$

at x₂ = a+h,

$f\left(x_2\right)=f\left(a+h\right)=\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}$

Using the formula to determine the average rate of change

Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]

$=\:\frac{\frac{3\left(a+h\right)+2}{2\left(a+h\right)-1}-\frac{3a+2}{2a-1}}{a+h-a}\:\:\:\:\:\:\:$

as a+h-a = h, so

$=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

Thus, the everarge rate of chnage: $\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

We can further simplify such as:

$=\frac{\frac{3\left(h+a\right)+2}{2\left(h+a\right)-1}-\frac{3a+2}{2a-1}}{h}$

$=\frac{-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}$

$=-\frac{\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}}{h}$

$=-\frac{7h}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)h}$

Cancel the common factor h

$=-\frac{7}{\left(2a-1\right)\left(2\left(h+a\right)-1\right)}$

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3 years ago

The latest demand equation for your Yoda vs. Alien T-shirts is given by: q = −40x + 800 where q is the number of shirts you can

baherus [9]

Cost function=fixed cost + variable cost =400+(something)
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but i'm not sure of the this terminology

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3 years ago

A garden is 90 m long and 75 m broad. A path 5 m wide is to be built outside and around it. Find the area of the path.also find

tensa zangetsu [6.8K]

Answer:

Step-by-step explanation:

Area of garden = length * breadth = 90 * 75 = 6750 Sq . m

= 6750 / 1000 = 0.675 hectare

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= 8500 - 6750 = 1750 Sq. m

4 0

4 years ago

John runs the same amount each day (r). If he runs for 4 days this week write an expression to represent the amount he ran this

AnnyKZ [126]

Answer:

$r \cdot 4 = z$

Step-by-step explanation:

An expression means that we don't know enough to create an equation. So, this means we will mostly be using variables.

John runs r amount every day. We need to create an expression for if he runs r amount for 4 days.

$r \cdot 4 = z$

r = how much he runs per day

4 = how many days he runs

z = how much he runs this week

This is your expression!

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