(–8) • (6) – (5) • (–2)
= (-8*6)-(5*-2)
= (-48)-(-10)
= -48+10
= -38
(–4) • (9) – (5) • (–2)
= (-4*9)-(5*-2)
= (-36)-(-10)
= -36+10
= -26
Evaluate 3(a – 4b) when a = –2 and b = 5.
= 3[-2 - 4(5)]
= 3[-2 -20]
= 3(-22)
= -66
Evaluate 4(a – 3b) when a = –4 and b = 6.
= 4[-4 - 3(6)]
= 4[-4 -18]
= 4(-22)
= -88
Evaluate 5(a – 2b) when a = –3 and b = 5.
= 5[-3 - 2(5)]
= 5(-3 - 10)
= 5(-13)
= -65
Answer:
6- yes
9- yes
3- no
7- yes
Step-by-step explanation:
Greater than or equal to answers will work!
6*3= 18 which is equal to 18
9*3= 27 which is greater than 18
3*3=9 which is less than 18
7*3=21 which is greater than 18
Answer:
JL = 138
explanation:
JK + KL = JL
5y+10+9y+2=17y-15
14y+12=17y-15
27=3y
y=9
JL= 17(9)-15
JL=153-15
JL=138
<span>a.{x | x is a real number such that x^2 = 1}
x^2 = 1 => x = +/- 1
=> {-1, 1} <------ answer
b.{x | x is a positive integer less than 12}
1 ≤ x < 12 => {1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11} <------ answer
c.{x | x is the square of an integer and x < 100}
x = n^2 < 100 => n^2 - 100 < 0
=> (n - 10) (n + 10) < 0
=> a) n - 10 > 0 and n + 10 < 0 => n > 10 and n < - 10 which is not possible
b) n - 10 < 0 and n + 10 > 0 => n < 10 and n > - 10 => - 10 < n < 10
=> n = { - 9, - 8, - 7, - 6, - 5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
=> x = {0, 1, 4, 9, 16, 25, 36, 49, 64, 81} <---- answer
d.{x | x is an integer such that x^2 = 2}
</span>
x = {∅ } because x is √2 which is not an interger but an irrational number
=> Answer: { ∅ }
Let number of ride tickets = x tickets and
Total cost of fair admission and ride = $y.
Given cost of each ticket = $1.25 and
Number of tickets = 25 tickets.
Total Cost of 25 ticket = Number of tickets * cost of each ticket = 25 * 1.25 = $31.25.
Total money spent = $43.75.
Total money spent = Fair admission + Total Cost of 25 ticket
43.75 = Fair addmission + 31.35.
Subtracting 31.25 from both sides, we get
43.75-31.35 = y - 31.35 - 31.35.
12.50 = Fair addmission charge
Therefore, Fair addmission charge = $12.50.
We know slope, intercept form
y = mx+b.
Where, is m the slope (cost of each ticket) and b is the y-intercept( Fair addmission charge)
Plugging values in slope-intercept form, we get
y = 1.25 x+ 12.50.
a) We took x for number of tickets for the rides, and y for total cost of ride tickets and fair admission.
b) We got equation y = 1.25 x+ 12.50.
c) For the equation y = 1.25 x+ 12.50, fix charge for fair admission is $12.50 and cost of each ride ticket is $1.25. Total cost (y) of ride tickets and fair admission will be 1.25 times x number of tickets + $12.50 fair admission charges.
