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Len [333]
3 years ago
15

Will someone help me with problem 21?

Mathematics
1 answer:
Juliette [100K]3 years ago
6 0
Sin^(1/2) x cos x - sin^(5/2) cos x
= sin^(1/2) x cos x - sin(1/2)x sin^2 x cos x
factoring we get:
cos x sin^(1/2) x ( 1 - sin^2 x)
Now 1 - sin^2 x = cos^2 x so we have

cos x sin^(1/2) x * cos^2 x

= cos^3 x sqrt sin x
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Name this line in 3 ways
faltersainse [42]

Straight

Never ending (You can tell this as there are arrows on the ends)

On a diagonal with a negative slope

7 0
4 years ago
a family has two cars. the first car has a fuel efficiency of 20 miles per gallon of gas and the second has a fuel efficiency of
nikklg [1K]

Car A consumes 25 gallon and car B consumes 15 gallon.

Step-by-step explanation:

Given,

The fuel efficiency of car A = 20 miles per gallon.

The fuel efficiency of car B = 15 miles per gallon.

In a week, two cars went 725 miles and consumed 40 gallons.

To find the consumption of each car in that week.

Let,

Car A consumed x gallon

Car B consumed y gallon.

According to the problem,

x+y = 40 ----- (1)

20x+15y = 725

or, 4x+3y = 145 -------- (2)

From (1) we get, x = 40-y

Putting the value of x in (2) we get,

4(40-y)+3y = 145

or, 160-4y+3y = 145

or, -y = 145-160

or, y = 15

From (1) we get, x = 40-15 = 25

Hence,

Car A consumes 25 gallon and car B consumes 15 gallon.

7 0
3 years ago
Salut as vrea si eu daca se poate o compunere cu titlul prima zi de craciun.Va rog frumos.
ch4aika [34]

Answer:

lol

Step-by-step explanation:


5 0
3 years ago
A Russian blue kitten costs $150 more than Manx kitten 9 blue kittens and 8 Manx kittens costs. Total of 14,100 write down a alg
Dmitriy789 [7]

Answer:

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

Step-by-step explanation:

Given that:

Russian blue kitten costs $150 more than Manx kitten.

Cost of 9 blue kittens and  8 Manx kittens = $14100

Let,

x be the price of one Russian blue kitten.

y be the price of one Manx kitten.

According to given statement;

9x+8y=14100

x = y+150

Hence,

The equations 9x+8y=14100 and x = y+150 are in the simplest form.

5 0
3 years ago
HELP
andreev551 [17]

Answer:

A. y = 80x

B. g(x) = 80x

C. To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.

Step-by-step explanation:

Part A:  

To write an equation, use y= mx where m is the slope, x is the number of days, and y is the rent cost.

x and y remain the same in the equation.

To find m, use the slope formula with (5,465) and (7, 625).

m=\frac{y_2-y_1}{x_2-x_1}= \frac{625-465}{7-5} =\frac{160}{2} =80

It costs $80 a day.

The equation is y = 80x.

Part B:  

Function notation replaces Y as g(x). So the equation is g(x) = 80x.

Part C:

To graph the equation, plot a point at (0,0) and a point at (1,80). Connect the points. Continue adding points by moving up $80 and over 1 day.


6 0
3 years ago
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