Answer:
Frida
Step-by-step explanation:
y = 1000(2)^x
Mrs. Smith is saying that the number of termites will double each week, and Mr. Smith is saying that the number of termites will increase by 100% each week.
Let's just look at (2)^x. If we substitute numbers for x, we get:
- x = 1 ⇒ 2
- x = 2 ⇒ 4
- x = 3 ⇒ 8
- x = 4 ⇒ 16
- x = 5 ⇒ 32
- x = 6 ⇒ 64
- x = 7 ⇒ 128
We can see that the output number doubles by 2, or in other words, increases by 100% of its value.
Therefore, Frida is correct in thinking that both Mr. and Mrs. Smith's interpretations are correct.
Answer:
b = -3
Step-by-step explanation:
-13 = 2b - b - 10
Add 10 to both sides of the equation
-3 = 2b - b
Subtract 2b - b
-3 = b
b = -3
Hope this helps :)
941 - 766 = 175
Therefore, A
By algebra properties we find the following relationships between each pair of algebraic expressions:
- First equation: Case 4
- Second equation: Case 1
- Third equation: Case 2
- Fourth equation: Case 5
- Fifth equation: Case 3
<h3>How to determine pairs of equivalent equations</h3>
In this we must determine the equivalent algebraic expression related to given expressions, this can be done by applying algebra properties on equations from the second column until equivalent expression is found. Now we proceed to find for each case:
First equation
(7 - 2 · x) + (3 · x - 11)
(7 - 11) + (- 2 · x + 3 · x)
- 4 + (- 2 + 3) · x
- 4 + (1) · x
- 4 + (5 - 4) · x
- 4 - 4 · x + 5 · x
- 4 · (x + 1) + 5 · x → Case 4
Second equation
- 7 + 6 · x - 4 · x + 3
(6 · x - 4 · x) + (- 7 + 3)
(6 - 4) · x - 4
2 · x - 4
2 · (x - 2) → Case 1
Third equation
9 · x - 2 · (3 · x - 3)
9 · x - 6 · x + 6
3 · x + 6
(2 + 1) · x + (14 - 8)
[1 - (- 2)] · x + (14 - 8)
(x + 14) - (8 - 2 · x) → Case 2
Fourth equation
- 3 · x + 6 + 4 · x
x + 6
(5 - 4) · x + (7 - 1)
(7 + 5 · x) + (- 4 · x - 1) → Case 5
Fifth equation
- 2 · x + 9 + 5 · x + 6
3 · x + 15
3 · (x + 5) → Case 3
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Answer D.
Insert (2, 2) in for x and y in the equations.
2(2)+ 3(2) = ?
? = 10
4(2) + 5(2) = ?
? = 18
