geno3141

When Carrey takes three steps, he covers 3 x 0.5 meters, or 1.5 meters.

Jim takes 4 steps for every three that Carrey takes, so he takes 4 steps to cover 1.5 meters.

1.5 meters divided by 4, gives 0.375 meters per step.

When Jim takes 24 steps, he covers 0.375 meters x 24 or 9 meters.

The two intercepts you used were not "a full wave" apart.

If you are going to use the intercept 2,4484124, you'll need to use the intercept -3.834773.

If you use a grapher, make certain that you have a sufficient amount of the graph in view, so 

that you can see what constitutes "a full wave" and get two corresponding zeros.

If you do, then you will get 2 pi.

p(x)  =  x² + 3     for  -infinity < x < -1

L(x)  =   ?           for  -1 <= x <= 3

p(x)  =  x·2^x        for  3 < x < infinity

The left-hand endpoint for L(x) has an x-value of -1.

Therefore, it must have the same value as what p(x) would have if the domain of p(x) included -1:

   p(-1)  =  (-1)² + 3  =  1 + 3  =  4     --->   the point is (-1, 4)

The right-hand endpoint for L(x) has an x-value of 3.

Therefore, it must have the same value as what p(x) would have if the domain of p(x) included 3:

   p(3)  =  3·2³  =  3·8  =  24   --->   the point is (3, 24).

For L(x), you'll need to find the linear equation that includes the points (-1, 4) and (3, 24).

Can you finish this?

You need to know how much money the company started with.

To find out how much they lost (at $45.00 per day for 30 days), multiply the loss per day times

the number of days:  $45.00 x 30  =  ........

Then, subtract this amount from how much they started with.

Write both of these situations as decimal (or percents).

A)  3 in 10 is 3/10 = 0.30, or 30%

B)  4 in 7 is 4/7 = 0.57 (approximately), or 57%

Pitcher B has a much better chance of striking out the batter.

For an equation like:                        y  =  2(x - 3)² + 2

you'll want to do the squaring first:  y  =  2[(x-3)(x-3)] + 2

                                                        y  =  2[x² - 6x + 9] + 2

then, distribute:                               y  =  2x² - 12x + 18 + 2

finally, simplify:                                y  =  2x² - 12x + 20

If you distributed the 2 first, you would get the wrong answer because, when you squared, you would also

be squaring the 2 and you need to use the 2 only once.

The table is nearly impossible to read; also, I can't find a way for the numbers in the first row to sum to 1976.

Anyway:

What is the probability that a woman, selected at random, has grade 1 or 2 eyesight in both eyes?

--  Add up four numbers:

    the number with grade 1 in left eye and grade 1 in right eye;

    the number with grade 1 in left eye and grade 2 in right eye;

    the number with grade 2 in left eye and grade 1 in right eye;

    the number with grade 2 in left eye and grade 2 in right eye;

    and divide this total by the total number of women.

What is the probability that this woman does not have grade 4 eyesight in her left eye?

--  Find the entry for grade 4 eyesight in her left eye; subtract this from the total number of women;

    divide this answer by the total number of women.

d4₇  =  7·d + 4                   (changing the number into base ten)

d1₈  =  8·d + 1                   (changing the number into base ten)

Since these are equal:  7d + 4  =  8d + 1

                                              3  =  d

34₇  =  7·3 + 4    =  25

31₈  =  8·3 + 1    =  25

and:  P(A) and P(B)  =  P(A) x P(B)

or:     P(A) or P(B)  =  P(A) + P(B) - [ P(A) and P(B) ]

I'll attempt this problem in a different way ...

Draw right triangle(ABC) with C the right angle.

Let AC = 8 and BC = 15.

Using the Pythagorean Theorem AB = 17.

Drop a perpendicular from angle(C) to the hypotenuse AB. 

Label the point of intersection P.

PC is the height.

By similar triangles (or a theorem from your textbook):

PA / AC  =  AC / AB    --->     PA / 8  =  8 / 17        --->     PA  =  64 / 17

PB / BC  =  BC / BA    --->     PB /15  =  15 / 17     --->     PB =  225 / 17

Continuing with similar trianges (or another theorem):

AP / PC  =  PC / PB     --->     ( 64 / 17 ) / PC  =  PC / ( 225 / 17 )

   cross-multiplying:     ( 64 / 17 ) · ( 225 / 17 )  =  PC² 

                                    ( 64 · 225 ) / ( 17 · 17 )  =  PC² 

                                                    14,400 / 289  =  PC² 

                                                           120 / 17  =  PC

   as a decimal:  7.0588...