Thirty times the square of a non-zero number is equal to 8 times the number. What is the number?

Create a linear function f(x), whose graph has the given slope that meets the given condition. Slope of 7,f(7)=1. The equation o

kolbaska11 [484]

For a linear function, you want it in y= mx + b form
They give you the slope your x, and when they say f(7)=1 that's like saying when x=7, y=1, or the ordered pair (7,1). To make it in y=mx+b, you can plug these coordinates in to solve for b. So, 1=7(7)+b, after you plug in slope and your point. Do math, 1=49+b, b=-48
That's how I think it's done

8 0

3 years ago

A delivery truck is transporting boxes of two sizes : large and small. The large boxes weigh 45 pounds each, and the small boxes

s344n2d4d5 [400]

Answer:

we have 60 large boxes and 50 small boxes.

Step-by-step explanation:

First, "boxes of two sizes" means we can assign variables:

Let x = number of large boxes

y = number of small boxes

Now, "There are 110 boxes in all" means x + y = 110

Now, the pounds for each kind of box is:

(pounds per box)*(number of boxes)

pounds for large boxes + pounds for small boxes = 4200pounds

"the truck is carrying a total of 4200 pounds in boxes"

(45)*(x) + (30)*(y) = 4200

Now, Solve for one of the variables in the first equation then replace (substitute) the expression for that variable in the second. Let's solve for x:

x = 110 - y [from eq1]

45(110-y) + 30y = 4200 [from eq2]

4950 - 45y + 30y= 4200 [distribute]

4950 - 15y = 4200

-15y = -750

y = 50 [divide both sides by (-15)]

There are 50 small boxes.

Put that value into either equation (now, which is easier?) to solve for x:

x = 110 - y

x = 110 - 50

x = 60

There are 60 large boxes.

Now, let's verify our solution:

Is 60+50= 110 ? [eq1]

110 = 110 ? yes!

Is 60(45) + 50(30) = 4125 ?

2700 + 1500 = 4200 ?

4200 = 4200 ? yes

So we have 60 large boxes and 50 small boxes.

6 0

2 years ago

Read 2 more answers

A variable that is manipulated by an experimenter to explore its relationship to other variables is a(n) _____ variable.

LuckyWell [14K]

Answer:

Independent variable

Step-by-step explanation:

Independent variable :

An independent variable is a variable that speaks to an amount that is being controlled in a trial. A needy variable speaks to an amount whose worth relies upon those controls.

It is the variable in a equation that may have its worth unreservedly picked without thinking about estimations of some other variable.

For example :

In equation $y=5x+3$ , x is an independent variable