Help me solve this please

Mathematics

1 answer:

Phoenix [80]3 years ago

7 0

Step-by-step explanation:

8x + 4y <= 136

2x + y <= 34

trying (15, 9) :

2x + 7y <= 70

2×15 + 7×9 <= 70

30 + 63 <= 70

93 <= 70

that does not work. so, (15, 9) is not a valid point of f(x, y) and therefore also no maximum.

trying (0, 10) :

2×0 + 7×10 <= 70

70 <= 70

that is true.

2×0 + 10 <= 34

10 <= 34

also true.

so, (0, 10) is the correct answer option.

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Your sock drawer in all mixed up! You

Makovka662 [10]

Step-by-step explanation:

There are 21 socks in total. Only 7 of them are white.

When you pick your 1st sock, you have a 7/21 chance to get white.

When you pick your 2nd sock, you have a 6/21 chance to get another white, since you already picked a white.

So the probability to get a pair of white socks is 2/21.

7 0

3 years ago

Average rate of change for f(x) = x2 − 3x − 10 from x = −5 to x = 10.

11111nata11111 [884]

The average rate of change is the slope of the secant line connecting the points on f(x) from x=-5 to x=10.

In other words, it is just the slope of the straight line connecting the points
$(-5,f(-5)) \: and \: (10,f(10))$

So we were given ,

$f(x) = {x}^{2} - 3x - 10$

At
$x = - 5$
$f( - 5) = {( -5 )}^{2} - 3( - 5) - 10$
$f( - 5) = 25 + 15- 10$
$f( - 5) = 30$

Also at
$x = 10$
$f( 10) = {( 10)}^{2} - 3( 10) - 10.$
$f( 10) = 100- 30 - 10$
$f( 10) = 60$

The average rate of change
$= \frac{f(10) - f( - 5)}{10 - - 5}$
$= \frac{60- 30}{15}$
$= \frac{30}{15}$
$= 2$