Answer:
6:8 compares the number of tiger shark teeth to sand shark teeth.
Step-by-step explanation:
Ratios, in mathematics, is a way to compare two or more numbers in relation to their sizes. According to the question, Christian collected 18 different shark teeth. He found out that the tiger shark teeth were 6, sand shark teeth were 8, hence the remaining 4 shark teeth would be for bull shark.
In order to compare the number/size of the different shark teeth to one another, we use ratios. Hence, if we say 6:8, it means that the proportion of the tiger shark teeth to the sand shark teeth is 6 to 8. This also means that the tiger shark teeth is 6/8 of the sand shark teeth.
Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.
Substitute the known values into the formula:
x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}
Simplify:
<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>
<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>
<span>x√10=√[2x(x)(x-1)(1)]</span>
<span>x√10=√[2x²(x-1)]</span>
<span>x√10=√(2x³-2x²)</span>
<span>10x²=2x³-2x²</span>
<span>2x³-12x²=0</span>
<span>2x²(x-6)=0</span>
<span>2x²=0 or x-6=0</span>
<span>x=0 or x=6</span>
<span>Therefore, x=6 (you can't have a length of 0).</span>
Answer:
for brand A it required 41 bags and for brand B is required 56 bags
Step-by-step explanation:
The computation is shown below:
Let us assume Brand A be x
And, brand B be y
Now according to the question
The following equations are
8x + 7y = 720
4x + 6y = 500
Multiply by 2 in equation 2
8x + 7y = 720........(1)
8x + 12y = 1000..........(2)
Now subtract equation 1 from equation 2
5y = 280
y = 56 bags
And, x is
8x + 7(56) = 720
8x + 392 = 720
8x = 328
x = 41 bags
hence, for brand A it required 41 bags and for brand B is required 56 bags
Her first mistake was in step 2.
When taking an absolute value of some number let’s say x, equals to the distance it is from 0
So |x| = x as well as |-x|=x because they have the same distance from 0. 2 and -2 are both 2 unit from 0.
So in the problem, her second step was to add |-2| and |6| to get her first distance. She was supposed to remove the | | by taking the absolute value of |-2|, which is makes the equation 6+2 because |-2|=2. She just removed the signs without applying the function. Her answer should’ve been 8 for that distance not 4. Therefore her area should have been 32, not 16.
The conclusion which can be made when a function changes from a decreasing interval to an increasing interval is; it has encountered it's turning point.
<h3>What conclusion can be made if a function changes from a decreasing interval to an increasing interval?</h3>
It follows from the study and analysis of graphs that graphs excluding linear equations and some other type of functions after passing through their turning point, may change from a decreasing interval to an increasing interval or vice versa.
Read more on turning point of graphs;
brainly.com/question/11198917
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