Substitute the first equation into the second equation. You will get:
4x - (2x - 5) = 7
Distribute the negative sign into the parenthesis:
4x - 2x + 5 = 7
Simplify
2x + 5 = 7
Subtract 5 on both sides
2x = 2
x = 1
Now, substitute x = 1 into the first equation:
y = 2(1) - 5
y = 2 - 5
y = -3
The solution to the system of equations is (1, -3).
Answer:
option-B
Step-by-step explanation:
We are given
At the start of the year, 15 chameleons were introduced into a zoo
so, 
The population of chameleons is expected to grow at a rate of 41.42% every year
so, r=0.4142
and x represents the number of years since the chameleons were introduced into the zoo
now, we can set equation to find total population
and we get

now, we can plug values


Average rate of change between 2 years and 4 years:
we can use formula

now, we can plug values


Average rate of change between 4 years and 6 years:
we can use formula

now, we can plug values


Average rate of change between 6 years and 8 years:
we can use formula

now, we can plug values


now, we will check each options
option-A:
we can see that


So, this is FALSE
option-B:

So, this is TRUE
option-C:
This is FALSE
option-D:
we got

so, this is FALSE
Answer:
A) x>8
B) x<4
Step-by-step explanation:
A) 3x+5>29
3x>24
x>8 (It's greater than because the angle opposite is greater than the other angle)
B) 6x-17<7
6x<24
x<4 (It's less than because the angle opposite is smaller than the other angle)
Answer:
The equation relates the variables is y = 8x ⇒ D
Step-by-step explanation:
If x and y vary directly (y ∝ x), then y = k x, where
- k is the constant of variation
- k can be found using the initial value of x and y
∵ The variable x and y vary directly
∴ y ∝ x
→ By using the rule above
∴ y = k x
∵ y = 40 when x = 5
∴ The initial values of x and y are x = 5 and y = 40
→ Substitute them in the equation above to find k
∵ 40 = k(5)
∴ 40 = 5k
→ Divide both sides by 5
∵
= 
∴ 8 = k
→ Substitute the value of k in the equation above
∴ y = 8x
∴ The equation relates the variables is y = 8x