9514 1404 393
Answer:
-2cos²(x) +3cos(x) -1
Step-by-step explanation:
Use the "Pythagorean identity" to replace sin²(x).
sin²(x) +cos²(x) = 1
Then ...
2sin²(x) +3cos(x) -3 = 2(1 -cos²(x)) +3cos(x) -3
= -2cos²(x) +3cos(x) -1
<h2>Fractions</h2>
Which expression is equal to 
?
Option 1
Option 1 is not equal to
Option 2
Option 2 is not equal to
Option 3
Option 3 is not equal to
Option 4
Therefore, option 4 is equal to
<h3>#CarryOnLearning</h3>
<span>"Give an example of a sound financial decision Maura might make to support this goal. Why is it sound?"
<span>
</span>She could choose to carefully budget her trip and avoid overspending at all costs. This prevents going into debt. She should also save up extra money in the event of an emergency.
</span><span>Then give an example of a poor financial decision Maura might make considering her goal. Why is it a poor decision?</span><span>
Not having a plan would be a poor decision on her part. She could end up spending too much and not realize how much money she has left.
I hope I helped!
</span>
3 x 25 = 75
4 x 12 = 48
75 - 10 = 65
65 + 48 = 113
Answer: 113 markers and crayons or 65 crayons and 48 markers
Answer:
The price of the cell phone without the coupon= $500
Step-by-step explanation:
Step 1: Express discounted amount
The discounted amount can be expressed as a function of the original cost of the phone as follows;
D=r×A
where;
D=discounted amount
r=coupon rate
A=original price of the cell phone before the coupon
In our case;
r=45%=45/100=0.45
A=a
replacing;
Discounted amount=(0.45×a)=0.45 a
Step 2: Amount she pays up
Amount she pays=Original cost of cell phone-discounted amount
where;
Amount she pays= $275
original cost of cell phone=a
discounted amount=0.45 a
replacing;
$275=a-0.45 a
0.55 a=275
a=275/0.55
a=500
The price of the cell phone without the coupon= $500
