For this case we have the following equation:
y = 3t + 6
Where we have the following variables:
t: time in minutes
y: distance traveled
We have then that the slope of the line is equal to 3.
The slope of the line represents the speed in feet per minute of the ant.
The speed of the ant is 3 feet per minute.
Answer:
C. The ant is crawling at 3 feet per minute
<h2>
<u>QUADRATIC EQUATION</u></h2>
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</h2>
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<h3>
Step-by-step explanation:</h3>
<u>How can </u><u>we</u><u> factor 5x^2 + 26x - 24 = 0 using the completing the square </u><u>method?</u>
Let's solve your equation step-by-step.
First, add 24 to both sides.
Since the coefficient of 5x² is 5, divide both sides by 5.
The coefficient of 26/5x is 26/5. So, let b=26/5.
Then we need to add (b/2)²=169/25 to both sides to complete the square.
Add 169/25 to both sides.
Factor the left side.
Take square root.
Then, add (-13)/5 to both sides.
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Answer:
1440 m³
1200 m³
Step-by-step explanation:
A local aquarium purchased a new turtle tank for their giant turtle exhibit.
If the dimensions of the tank are 15 m by 12 m by 8 m and the tank is of a cuboid shape and its volume is given by, V = (Length) × (Width) × (Height), then the volume of the tank will be
V = 15 × 12 × 8 = 1440 m³.
Again, if the dimensions of the tank are 15 m by 8 m by 10 m, then its volume will be
V = 15 × 8 × 10 = 1200 m³ (Answer)
Answer:
A
Step-by-step explanation:
The order of operations, or PEMDAS, is used like so:
Parentheses
Exponents
Multiply
Divide
Add
Subtract
exponents are the second step of the order of operations
To simplify into 1 fraction, remember, we must make the denominator the same
x/ (x-1 ) - 1/ (2-2x)
= -x/ -(1-x) - 1/(2-2x) [see the similarity now? ] [whatever we multiply for the denominator, as long as we multiply to the numerator, it will be ok]
= -2x / -(2-2x) + 1/-(2-2x)
= (-2x+1 )/ -(2-2x)
=(2x-1)/(2-2x)