Answer:
Solution: x = 135
Step-by-step explanation:
Hi there!
First, let´s write the equation:
√(x + 9) /4 = 3
Multiply by 4 both sides of the equation
√(x + 9) = 12
square both sides of the equation
x + 9 = 144
subtract 9 to both sides of the equation
x = 135
Let´s check the solution:
√(x + 9) /4 = 3
x = 135
√(135 + 9) /4 = 3
√(144) /4 = 3
12/4 = 3
3 = 3
Then, x = 135 is the solution to the equation.
Have a nice day!
4c + 5h = 650 and
5c + 6h = 800 where c are chefs, h are helpers
Start by finding an expression for c
4c + 5h = 650
4c = 650 -5h
c = (650- 5h)/4
Then substitute that into the second equation and solve for a number value for h
5 (650-5h)/4 + 6h = 800
(3250-25h)/4 + 6h = 800
Multiply both sides by 4
3250-25h + 24h = 3200
-h = -50
h = 50
Take that 50 and substitute it into the expression we have for c to get a number value for c
C= 650-5(50)/4
C = 650-250/4
C = 400/4
C= 100
Check your first equations, substituting $50 for the helpers and $100 for the chefs.
4 (100) + 5(50) =
400 + 250 = 650
5(100) + 6(50) =
500 + 300 = 800
Answer:
The answer is
<h2>y = - 2x + 1</h2>
Step-by-step explanation:
Equation of a line is y = mx + c
where
m is the slope
c is the y intercept
To find the equation of the parallel line we must first find the slope of the original line
From the question the original line is
y = - 2x + 7
Comparing with the general equation above
Slope = - 2
Since the lines are parallel their slope are also the same
Slope of parallel line = - 2
The equation of the line using point (-1, 3) and slope - 2 is
We have the final answer as
Hope this helps you
Y
y=ax
where a is a constant of proportionality;
y=20, x=4
20=4a
a=20/4
a=5
y=5x
The constant of variation is 5
Answer:
The answer is 6ab³c(3ab + 4c)
Step-by-step explanation:
You have to collect the like-term :
18a²b⁴c + 24ab³c²
= 6(3a²b⁴c + 4ab³c²)
= 6a(3ab⁴c + 4b³c²)
= 6ab³(3abc + 4c²)
= 6ab³c(3ab + 4c)
