Given: w²+9=6w [0, 3, 6, 9]
We need to substitute each number for w and find which works
Sub Zero: 0²+9=6×0
Simplify: 9=0. 9 does not equal 0, so it is not 0
Sub Three: 3²+9=6×3
Simplify: 9+9=18
Addition: 18=18
The statement 18=18 is true, therefore we have our answer.
Answer: The second option is correct. 3 would be the correct number to substitute to make the equation correct.
The quantities include hours and minutes.
The the known and unknown quantities can be used to write an equation and this gives 60 minutes.
<h3>How to explain the information?</h3>
It should be noted that there are two different units of time measurement and these are hours and minutes. In this case, once can either convert the hours given to minutes or vice versa.
Therefore,
2 hours = 120 minutes, and
2.5 hours = 150 minutes.
If x represents the number of potatoes in the bucket, then the time to peel all of the potatoes on the first day will be 1.5x.
The quantity added to the 120 minutes spent making pies is the total elapsed time for the first day's work. The first days time is equal to the second day. This will be:
120 + 1.5x = 150 + x
1.5x - x = 150 - 120
0.5x = 30
x = 30/0.5 = 60
The time taken is 60 minutes.
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Answer:
r = - 11
Step-by-step explanation:
Calculate the slope m using the slope formula and equate to - 4
m = 
with (x₁, y₁ ) = (4, 5) and (x₂, y₂ ) = (8, r)
m = 
= 
= - 4 ( multiply both sides by 4 )
r - 5 = - 16 ( add 5 to both sides )
r = - 11
Answer:
x=2 and y=7
Step-by-step explanation:
Step: Solvey=2x+3for y:
y=2x+3
Step: Substitute2x+3foryiny=3x+1:
y=3x+1
2x+3=3x+1
2x+3+−3x=3x+1+−3x(Add -3x to both sides)
−x+3=1
−x+3+−3=1+−3(Add -3 to both sides)
−x=−2
−x
−1
=
−2
−1
(Divide both sides by -1)
x=2
Step: Substitute2forxiny=2x+3:
y=2x+3
y=(2)(2)+3
y=7(Simplify both sides of the equation)
Answer:
It should be 4 or (0,4)
Step-by-step explanation:
The y-intercept is just where one of the lines of the graph crosses the y-axis, which in the picture shows it crosses at (0,4)
