A light bulb consumes 1440 watt-hours per day. How long does it take to consume 6120 watt-hours?

Someone plz help 7(x-4)-3x+2=3x-2-x what is x

il63 [147K]

Simplify 7(x-4)-3x+2x:

4x-26=3x-2-x

Subtract x from 3x:

4x-26=2x-2

Move all terms containing x to the left:

2x-26=-2

Move all terms not containing x to the right:

2x=24

Divide by 2 and simplify:

x=12

7 0

2 years ago

Writing Exercises

yawa3891 [41]

Answer:

A quadratic equation can be solved using the quadratic formula, the factoring method, or completing the square. You expect to get either one or two answers.

Step-by-step explanation:

First, we have to understand how to solve a quadratic equation. There are three methods, the first of which is the quadratic formula. For any quadratic equation that takes the standard form of

$f(x)=ax^2+bx+c$

you can solve for x by using the following formula:

x=(-b±√(b^2-4ac))/2a

Sometimes, however, the quadratic expression is factorable, meaning it can be converted into a product of two smaller expressions. For example:

$x^2-4=(x-2)(x+2)$

As you can see, factoring gives you the roots easily (set each smaller expression to 0 and solve for x). If the quadratic is factorable, it would be easiest to use this method first.

Completing the square is another method that can be used to solve a quadratic function. It is often preferred because it converts the function into something factorable. In order to complete the square, you have to first ensure that the quadratic term's coefficient is 1. After that, you can take the linear term's coefficient, divide it by 2, and square it. Take the new term you found and add it to the equation. Because you are adding something to an equation, you must also subtract. Now, you can complete the square and factor. An example can be found below:

$x^{2}-6=0\\\\(x^2-6+9)-9=0\\\\(x-3)^2-9=0\\\\(x-3-3)(x-3+3)=0\\\\x(x-6)=0\\\\x=0, x=6$

A quadratic equation can only have up to two solutions. You can imagine the graph of a quadratic. It looks like a parabola and only changes directions once. This means that it only crosses the x-axis two times. You can also look at the examples given and see that factoring only gives you two smaller expressions (leading to 2 roots). Sometimes, however, you might get a double root, leading to an equation with only one solution. This happens when the discriminant of the quadratic equation is 0. You can calculate this in advance to save yourself some time.

4 0

1 year ago

3. Victoria counts this week's food donations at a pet shelter. There are 16 full cases of canned food. There are 4 cases of can

xxMikexx [17]

Answer:

We know that C is the total number of cans in a complete case.

Victoria counts:

16 full cases, so in those we have: 16*C cans.

4 cases with 5 missing cans, so in those we have:

Then if each case has C cans, the cases that are missing 5 cans have:

C - 5 cans.

Then in those four cases we have a total of: 4*(C - 5) cans.

And Victoria knows that there are 220 cans, then we have that:

16*C + 4*(C - 5) = 220

16*C + 4*C - 20 = 220

16*C + 4*C = 220 + 20 = 240

20*C = 240

C = 240/20 = 12

Then each case has 12 cans.

Then the number of cans in the cases with missing cans is:

12 cans - 5 cans = 7 cans.

4 0

3 years ago

Read 2 more answers

BJ’s just reconciled its bank account and has $10,800 in outstanding deposits, $26,300 in checks outstanding, and a positive che

Verizon [17]

Answer: The disbursement float usually exceeds the collection float.

Explanation:

BJ's deposits its receipt in the bank everyday which will be available to the firm the next day.The checks given are by the firm on the daily basis which is a cash out flow but it takes three days to clear the check until then bank balance will remain high than the original value of the firm. This is termed as outstanding check.

Outstanding deposit is the deposit made by the firm but it will appear in the statement a little later. It can be said as deposit in transit.Net float is calculated as firms available balance minus the book value.

8 0

3 years ago

Given A(-3, 8), find the coordinates of the point B such that C(5, -8) is the midpoint of segment AB.

yarga [219]

We know that the coordinates of the midpoint are the average of the coordinates of the two endpoints.

So, we have

$C_x = \dfrac{A_x+B_x}{2},\quad C_y=\dfrac{A_y+B_y}{2}$