Answer:
-9 or negative 9
Step-by-step explanation:
The opposite of negative 9 is positive 9.
The opposite of <em>that</em> is negative 9.
Answer:
Number of adults that attended the show = 400
Number of children that attended the show = 359
Total people who attended the show = 759
Step-by-step explanation:
Total earned = 15,385
Adults = $25
Children = $15
Let
Adults = A
Children = C
The number of adults who attendee the show was 41 more than the number of children who attended the show
A = C + 41
25A + 15C = 15,385
Substitute
A = C + 41
25(C+41) + 15C = 15,385
25C + 1,025 + 15C = 15,385
40C + 1,025 = 15,385
40C = 15,385 - 1,025
40C = 14,360
Divide both sides by 40
C = 14,360 / 40
= 359
C = 359
Substitute C = 359 into
A = C + 41
A = 359 + 41
= 400
A = 400
Number of adults that attended the show = 400
Number of children that attended the show = 359
Total people who attended the show = 759
Answer:
Given that 3/7 + (- 6/11) + (- 8/21) + (5/22)
Taking L.C.M. of the denominators 7, 11, 21 and 22 and then solving it.
L.C.M. of 7, 11, 21 and 22 = 2 x 3 x 7 x 11 = 462
= (462/7) x 3 – (462/11) x 6 – (462/21) x 8 + (462/22) x 5
= (198/462) – (252/462) – (176/462) + (105/462)
= (303/462) – (428/462)
= (-125/462)
Answer:
a = -5
b = -1
m = -1
Step-by-step explanation:
Piecewise function:
f(x)= -5, x=0
f(x)= −x^2+3x+a, 0<x<2
f(x)= mx + b 2≤x≤3
The mean value theorem is applicable if f(x) is continuous on the entire closed interval [0;3] and differentiable on the entire closed interval [0;3].
To satisfied that at x = 0
:
−x^2+3x+a = -5
Then, a = -5
Derivative of −x^2+3x-5 is -2x + 3 and derivative of mx + b is m, at x = 2:
-2(2) + 3 = m
-1 = m
Replacing the functions at x = 2
:
−x^2+3x-5 = -x + b
−(2)^2+3*2-5 = -2 + b
-3 + 2 = b
-1 = b
Answer:
1.85
Step-by-step explanation:
