Answer: 2 and 1/10
Step-by-step explanation: To subtract mixed numbers, we first subtract the fractions.
Notice that 1/2 and 2/5 are unlike fractions so we need a common denominator which in this case is 10. <em>If you need a review on how to find the common denominator for these fractions, let me know in the comments below and I will be more than happy to explain</em>.
To get a 10 in the denominator of 1/2, we multiply the numerator and the denominator by 5 to get 5/10. To get a 10 in the denominator of 2/5, we multiply the numerator and denominator by 2 to get 4/10.
So we have 4 and 5/10 - 2 and 4/10.
Subtracting the fractions, 5/10 - 4/10 is 1/10 and subtracting the whole numbers, 4 - 2 is 2. So 4 and 1/2 - 2 and 2/5 is 2 and 1/10.
Two lines with same slopes are parallel.
So The slope must be 3.
2=3(-1)+a
a=5
y=3x+5
The dot plot with the least number of sites has the least frequency
The dot plot has the least number of sites is the Shield Darter
<h3>How to determine the dot plot?</h3>
To determine the dot plot with the least number of sites, we simply calculate the total frequency of each dot plot
So, we have:
Shield Darter = 3 + 1 + 4 + 2 + 3 + 1 + 1
Shield Darter = 15
Calico Crayfish = 1 + 1 + 3 + 4 + 1 + 2 + 4 + 2
Calico Crayfish = 18
Zebra Mussel = 1 + 3 + 2 + 5 + 1 + 1 + 2 + 3 + 2
Zebra Mussel = 20
Blue back Herring = 3 + 3 + 2 + 1 + 3 + 1 + 4
Blue back Herring = 17
From the computation above, the least frequency is
Shield Darter = 15
Hence, the dot plot has the least number of sites is the Shield Darter
Read more about dot plots at:
brainly.com/question/21862696
Integrate <span>f ''(x) = −2 + 36x − 12x2 with respect to x:
f '(x) = -2x + (36/2)x^2 - (12/3)x^3 + c. Find c by letting x = 0 and using f(0)=8.
Then f '(0) = -2x + 18x^2 - 4x^3 + c = 18 (which was given).
Then -0 + 0 - 0 + c = 18, so c = 18 and
f '(x) = </span>-2x + 18x^2 - 4x^3 + 18.
Go through the same integration process to find f(x).
