Tanx= 8/10
tanx= 4/5
x= arctan(4/5)
x= 38.7 degrees
Answer:
Trail Mix costs $2.50 per pound, and Jelly Beans cost $1.50 per pound.
Step-by-step explanation:
Using x for trail mix and y for jelly beans, we have a system of equations being
We can solve this system using substitution
5x+3y=17
Divide by 5 to have a coefficient of 1 before x
Subtract
from each side to single out one variable to one side

Now, we can plug in our value for x into the given equation
Open the parentheses

Merge Y values

Separate numerical values from variables

Divide by 10.8 in order to have a coefficient of 1
Now that we have one of the values, we know that a pound of jelly beans costs $1.50. We can now plug in 1.5 for y into one of our equations to find x.

Open parentheses

Single out the variable

Divide by 5 to have a coefficient of 1 before x


Answer:
- f'(1) exists: f'(1) = -2
- f'(0) DNE
Step-by-step explanation:
<h3>a)</h3>
The function is continuous for x > 0 . The derivative is defined on that interval and is equal to ...
f'(x) = -2x . . . . . for x > 0
Then at x = 1, the derivative is ...
f'(1) = -2(1)
f'(1) = -2
__
<h3>b)</h3>
The function has a jump discontinuity at x=0, so the derivative does not exist at that point. A condition for the existence of the derivative is that the function is continuous at the point of interest.
Answer:
Quadratic formula is the tool for solving for an unknown number (usually x)
Step-by-step explanation:
The formula is below
Answer: 13. -68
14. 36
15. -36
16. -3
17. 10
18. -4
19. 1310 ft
20. 330 ft
Step-by-step explanation:
13. 34*(-2)=-68
14. -9*(-4)=
-(9*(-4))=
-(-36)=36
15. 12*(-3)=-36
16. -12/4=-3
17. -20/(-2)=
20/2=10
18. 200/(-50)=-4
19. -1640*(-1)-(-330*(-1))=
1640-(-330*(-1))=
1640-330=1310 ft
20. -990*(-1)-(-660*(-1))=
990-(-660*(-1))=
990-660=330 ft