<span>2 inches = 25 miles
?,,,,,,,,,,,,,,,</span><span>60 miles
</span>
60 x 2 / 25 = 4.8 inches
<span>1/4 = 0.25 inches
0.25 x 25 / 2 = 3.125 miles
answer
</span><span>How many inches on the map represent 60 miles?
Enter your answer in the box.
answer: </span>4.8 inches
<span>
Part B
How many miles are represented by 1/4inch on the map?
Enter your answer in the box.
</span>answer: 3.125 miles
Answer:
1. 0.5
2. 3/4
3. -6
4. 5x
Step-by-step explanation:
1. A coefficient is a number that is placed in front of an algebraic term/variable in an expression or equation.
The decimal coefficient is therefore 0.5. It is the coefficient of x.
2. The fractional coefficient is 3/4. It is the coefficient of y.
3. The negative coefficient is -6. It is the coefficient of b.
4. A like term is one which contains the same type of terms as another term.
3x is a like term of 5x, because it contains a numerical term and an algebraic term to the power of 1.
Answer:
<em />
- <em>It takes</em><u> 2.5 minutes </u><em>to fill the tank.</em>
Explanation:
The net speed or net rate for filling the 10-liters tank is equal to the speed the tap is filling less the speed the water is leaking through the hole located at the bottom of the tank:
- Net rate = rate of filling - rate of leaking
- Net rate = 5 liters/minute - 1 liter/minute
- Net rate = 4 liters/minute
Thus, consiedering the tank is empty at the beginning, the time is:
- Time = Volume of the tank / net rate of filling
- Time = 10 liters / (4liters/minute)
- Time = 2.5 minutes ← answer
Answer:
Step-by-step explanation:
First confirm that x = 1 is one of the zeros.
f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26
f(1) = 2 - 14 + 38 - 26
f(1) = -12 + 38 = + 26
f(1) = 26 - 26
f(1) = 0
=========================
next perform a long division
x -1 || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26
2x^3 - 2x^2
===========
-12x^2 + 28x
-12x^2 +12x
==========
26x -26
26x - 26
========
0
Now you can factor 2x^2 - 12x + 26
2(x^2 - 6x + 13)
The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16
So you are going to get a complex result.
x = -(-6) +/- sqrt(-16)
=============
2
x = 3 +/- 2i
f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)
The zeros are
1
3 +/- 2i
