geno3141

y = 3(x)

Again, replace w with each of its values:

x = -2   --->   y  =  3(-2)  =  -6          --->          (-2, -6)

x = -1   --->   y  =  3(-1)  =  -3          --->          (-1, -3)

Etc.

Graph these, and extend the line.

OK?

To get the values for y, replace x with each of its values:

y  =  x² + 3

When x = -2:  y  =  (-2)² + 3  =  4 + 3  =  7          --->   (-2, 7)

When x = -1:  y  =  (-1)² + 3  =  1 + 3  =  4          --->   (-1, 4)

Etc.

Graph these points and connect them, in order, with a smooth curve and extend the curve past both ends.

OK?

For this problem, you need to indicate that you must add 5 and 2 together before you multiply by 3.

To show that the addition must be done first, place the addition inside parentheses.

This can be written either as  (5 + 2) x 3  or as   3 x (5 + 2).

Also, you needn't write the times sign because parentheses can mean multiplication, so this could be written as:  3(5 + 2)

To find the amount of time, take the distance and divide by the rate. The answer will be in hours.

Notice that the distance to your drandparents' home is less than 4 miles, so it will take less than one hour.

3.67 miles / 4 miles/hour   =  0.9175 hours

To change this into minutes, multiply by 60, the number of minutes in one hour:

0.9175 hours  x  60 minutes/hour  =  55.05 minutes, which rounds to 55 minutes.

If you are interest in numbers, you might like to read the following:

2/3  =  .6666666...  which rounds to .67

So 3.67 miles might actually mean 3 2/3 miles.

If it does:  (3 + 2/3) / 4  x 60 =  exactly 55 minutes

Let  h  be the number of hours

Let  T  be the total charge

To find the total charge, you need to take the number of hours worked times the hourly rate and then add the fixed service fee:

Then  T  =  50·h + 75

For  tg(a)  =  1.45,

If  'tg' is a variable,  a  =  1.45/(tg).

If  'tg' is a function,  a  =  tg^-1(1.45).  

In the problem  1.53(ms - 1) = X(ms)

I assume that either 'm' and 's' are variables or that 'ms' is a variable:

Divide both sides by ms:

--->   1.53(ms - 1)/ms  =  X

The problem that you gave us cannot be factored using whole numbers; it will need square roots.

There could be a mistake when the test was typed.

There is a formula -- you will probably be given it later -- that shows why square roots are necessary:  The formula is:  b² - 4·a·c

When you get the problem reduced to this form:  7x² + 10x - 360,

'a' is the coefficient of the squared term = 7

'b' is the coefficient of the linear term = 10

'c' is the constant = -360

Each of these values includes any negative sign that precedes the number.

So:  b² - 4·a·c  =  10² - 4·7·-360 =  100 + 10080  =  10180

Now, if this number is a perfect square, the problem can be factored into whole numbers; if this number is not a perfect square, the problem cannot be factored. Since this number is not a perfect square, the problem cannot be factored into whole numbers.

So, there must be a typo somewhere.

The geometric mean of the numbers  a  and  b  is:  √( a · b ).

If  a  =  4√3  and  b  =  5√2, then the geometric mean is:

  √( 4√3 · 5√2)  =  √( 20√6 )