Answer:
Step-by-step explanation:
We need to find the value of 
Solving:
We know, 
a^0 = 1
so,
So, the value of
Answer:
x=1 y=-5
Step-by-step explanation:
7(5x-2y=15) ---> 35x-14y=105
2(7x+7y=-28) --> + <u>14x+14y=-56</u>
49x=49 --->x=1
5(1)-2y=15 ---> 5-2y=15 ---> -2y=10 ---> y=-5
Answer: $537.5
Step-by-step explanation:
$500 at 1.5% for 5 years
p x r x t = i
500 x 0.015 x 5= 37.5
37.5+500=537.5
Answer:
$11 and $16
Step-by-step explanation:
let x be the cost of a student ticket then an adult ticket is x + 5 , then
3x + 7(x + 5) = 145 , that is
3x + 7x + 35 = 145
10x + 35 = 145 ( subtract 35 from both sides )
10x = 110 ( divide both sides by 10 )
x = 11
Student ticket costs $11 and adult ticket = x + 5 = 11 + 5 = $16
x is less than or equal to -4 or x is greater than or equal to 5
x <= -4 or x>= 5
There is no intersection of both inequalities when we graph it in number line So, we write the interval notation separately for each inequality
for x<=-4 , x starts at -4 and goes to -infinity because we have less than symbol. Also we have = sign so we use square brackets
Interval notation is (-∞ , -4]
for x>= 5 , x starts at 5 and goes to infinity because we have greater than symbol. Also we have = sign so we use square bracket at 5
Interval notation is [5 , ∞)
Now combine both notation by a 'U' symbol Union
(-∞ , -4] U [5 , ∞)
