Answer:
Expression I and IV
Step-by-step explanation:
Expression I simplified :
- 3n + 7 + n + 4n
- 8n + 7
- Expression I = Expression IV
1.54 + 2.37
= (1 + 5/10 + 4/100) + (2 + 3/10 + 7/100)
= 1 + 5/10 + 4/100 + 2 + 3/10 + 7/100
= 3 + 8/10 + 11/100
= 3 + 8/10 + (10/100 + 1/100)
= 3 + 8/10 + (1/10 + 1/100)
= 3 + 8/10 + 1/10 + 1/100
= 3 + 9/10 + 1/100
= 3.91
Answer:
Shown - See explanation
Step-by-step explanation:
Solution:-
- The given form for rate of change is:
8 sec(x) tan(x) − 8 sin(x).
- The form we need to show:
8 sin(x) tan2(x)
- We will first use reciprocal identities:
- Now take LCM:
- Using pythagorean identity , sin^2(x) + cos^2(x) = 1:
- Again use pythagorean identity tan(x) = sin(x) / cos(x):
Answer:
"a" must be negative
Step-by-step explanation:
The slope between points (-1, 1) and (1, -1) is a minimum of (-1-1)/(1-(-1)) = -1.
The slope between points (1, -1 and (3, -4) is a maximum of (-4-(-1))/(3-1) = -3/2.
Thus, as x increases, the slope is decreasing. In order for that to be the case, the value of <em>a</em> must satisfy a < 0.
a.
The required equation is 23p + 19.50 = 180.50
Let p represent the number of people who can go to the amusement park.
Since the ticket costs $23 per person, the total amount paid for ticket is rate × number of person = $23 × p = 23p.
Since we pay $19.50 for parking, the total amount spent is T = 23p + 19.50
Since the total amount equals $180.50. T = 180.50
So, 23p + 19.50 = 180.50
The required equation is 23p + 19.50 = 180.50
b.
Solving 23p + 19.50 = 180.50, we have
23p = 180.50 - 19.50
23p = 161
p = 161/23
p = 7
So, the number of people who can go to the amusement park is 7.
Learn more about linear equations here:
brainly.com/question/24307397
