8 * 4 = 32 chairs
No, Mark does not have enough tables and chairs for all of his guests. He only has 32 chairs but there are 35 guests. There are 3 people that will not be seated.
Answer:
both rates of change equal the slope of the line (3/4)
Step-by-step explanation:
Part a)
We calculate the rate of change using the formula:
for the first interval [0,6], we calculate the y-values at x=0 and x=6;
at x=0 : 
at x=6 : 
therefore, the rate of change in this interval is: 
For the second interval [-4,4], we calculate the y-values at x=-4 and x=4;
at x=-4 : 
at x=4 : 
therefore, the rate of change in this interval is: 
Part b):
Notice that both rates of change equal the value of the slope of the linear function (3/2)
Answer:
16
Step-by-step explanation:
Number of attires Clara has initially = x
lends half her collection of formal attires to her sister
Attires remaining after lending = Number of attires Clara has initially - attires she lent her sister
= x - 1/2x
= 1/2x
Clara then buys four more attires
= 1/2x + 4
If she has 12 attires now
12 = 1/2x + 4
12 - 4 = 1/2x
8 = 1/2x
x = 8 ÷ 1/2
= 8 × 2/1
= 16
x = 16
Number of attires Clara has initially = x = 16
The answer to this question would be: p+q+r = 2 + 17 + 39= 58
In this question, p q r is a prime number. Most of the prime number is an odd number. If p q r all odd number, it wouldn't be possible to get 73 since
odd x odd + odd= odd + odd = even
Since 73 is an odd number, it is clear that one of the p q r needs to be an even number.
There is only one odd prime number which is 2. If you put 2 in the r the result would be:
pq+2= 73
pq= 71
There will be no solution for pq since 71 is prime number. That mean 2 must be either p or q. Let say that 2 is p, then the equation would be: 2q + r= 73
The least possible value of p+q+r would be achieved by founding the highest q since its coefficient is 2 times r. Maximum q would be 73/2= 36.5 so you can try backward from that. Since q= 31, q=29, q=23 and q=19 wouldn't result in a prime number r, the least result would be q=17
r= 73-2q
r= 73- 2(17)
r= 73-34=39
p+q+r = 2 + 17 + 39= 58
The domain of a function are its possible input values
The domain of the function is <em>(b) all real numbers greater than or equal to 0.</em>
From the graph, we have the following observations
- <em>t represents time (it is plotted on the x-axis)</em>
- <em>t starts at 0</em>
- <em>t has no end</em>
The above observations imply that; the domain starts from 0
Hence, the domain of the function is the set of all real numbers greater than or equal to 0.
Read more about domain at:
brainly.com/question/2709928
