I believe the answer would be 50
explanation:
calculate
2 ÷ 5^-2
use negative power rule x^-a = 1/x^a
2 ÷ 1/5^2
simply 5^2 to 25
2 ÷ 1/25
use this rule a ÷ b/c = a • c/b
2 • 25
simplify
50
We're going to go ahead and eliminate one answer out of the four. It <u>cannot be B</u> (the second answer) <em>because the graph is made of dotted lines. </em>
Dotted Lines = > or <
Solid Lines = ≤ or ≥
Next, let's focus on the straight line on the graph.
The equation for the line is
y = x - 4
Since the shaded region is <em>below </em>the line,
the equation will be <u>y < x - 4 </u>
We can now <u>eliminate </u>answer <u>A </u>
Since the second equation is y < - l x - 2 l
It will be shaded below the graph since it uses the ( < ) (less than symbol)
This means <em><u>the answer is C</u></em>
Hope I helped, message me if you have any questions : )
The two equations are equivalent.
The postage for 3 posters is $5.
Lois$ wrote an expression for the total they both spent as 6x + 10 6(25) +10
150 +10 = 160
Clark wrote another expression for the total, saying that it represented the same cost: 2(3x + 5). = 2(3x) + 2(5) 6x + 10 = 6(25) + 10 = 150+10 160
If each poster costs $25, do the two expressions give the same amount?
Answer:
Adele's current age is 12
Step-by-step explanation:
Let a = Adele's current age
Let t = Timothy's current age
Adele is 5 years older than Timothy:
a = t + 5 {equation 1}
In 3 years Timothy will be 2/3 of Adele's age:
(2/3)(a + 3) = t + 3 {equation 2}
Since we are looking for Adele's age, let's rearrange equation 1 to:
t = a - 5
Substitute that into equation 2 and solve for a.
(2/3)(a+3) = a - 5 + 3
(2/3)(a + 3) = a - 2
Multiply through by 3 to clear the fraction
2(a+3) = 3a - 6
2a + 6 = 3a - 6
Add 6 to both sides, subtract 2a from both sides
12 = a
Adele is 12 years old
This means Timothy is 7 years old.
Check equation 2 to verify:
(2/3)(a + 3) = t + 3
(2/3)(12+3) = 7 + 3
(2/3)(15) = 10
10 = 10
