Answer: (-19/80, -1/2)
Step By Step Explanation:
First you want to do 2/5 - 7/8. Once you get -19/40, you want to divide it by 2. After doing this step, you will get -19/80. Next, you want to do the same thing with the other one. -2/5 -3/5 or 2/5+3/5 except the answer will be negative. Now you get -1/2. Therefore, the answer is (-19/80, -1/2). Sorry if my explanation is trashy.
Z = 140
X = 40
Y = 40
Explanation:
Z and the angle given (140 degrees) are vertical angles, and are therefore congruent
We know that x and y are vertical angles, so they are also congruent to each other
You know that together, the angles have to add up to 360
140 + 140 + x + y = 360
Another way of putting it:
360-280 = 80
Now, we have to divide by two since we need to find x AND y
80/2 = 40
Therefore, your answers for x and y are 40
To double check, you can add up the angles and see if they equal 360
140 + 140 + 40 + 40
280 + 80 = 360
Answer:
Step-by-step explanation:
We want to study the fuel consumption of each car, i.e the amount of mile per gallon the cars will consume
Step one:
given data:
First car
distance covered= 41 1/2 = 41.5miles
amount of gallons= 1 1/4= 1.25gal
the miles per gallons= 41.5/1.25=33.2 miles per gallon
Second car
distance covered= 21 3/5= 21.6miles
amount of gallons=4/5= 0.8gal
the miles per gallons= 21.6/0.8=27 miles per gallon
1. Therefore the unit rate of
the first car = 33.2 miles per gallon
the second car=27 miles per gallon
2. the first car can travel a greater distance on 1 gallon of gasoline
<span>In addition to linear, quadratic, rational, and radical functions, there are exponential functions. Exponential functions have the form f(x) = <span>bx</span>, where b > 0 and b ≠ 1. Just as in any exponential expression, b is called the base and x is called the exponent.</span>
<span>An example of an exponential function is the growth of bacteria. Some bacteria double every hour. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours. This can be written as f(x) = 2x.</span>
<span>Before you start, f(0) = 2<span>0 </span>= 1</span>
<span>After 1 hour f(1) = 21 = 2</span>
<span>In 2 hours f(2) = 22 = 4</span>
<span>In 3 hours f(3) = 23 = 8</span>
and so on.
<span>With the definition f(x) = <span>bx</span> and the restrictions that b > 0 and that b ≠ 1, the domain of an exponential function is the set of all real numbers. The range is the set of all positive real numbers. The following graph shows f(x) = 2x.</span>
<span> </span>
Let's rewrite the given expression correctly:
(2y3 + 3y2 - 4y - 5) / (y + 1)
Dividing the expression between y + 1 we have:
2y2 + y - 5
We can check the result:
(2y2 + y - 5) * (y + 1)
= (2y3 + y2 - 5y + 2y2 + y - 5)
= (2y3 + 3y2 - 4y - 5)
Division OK.
Answer:
The result of the division is:
2y2 + y - 5
