Let n be the 40%, and 100-n be the 10%. Then:
.4n+.1(100-n)=.22(100)
.3n+10=22
.3n=12
n=40
The candy distributor needs 40kg of 40%, and 60kg of 10%
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(4x^2+3) + (3x^2+8) = 7x^2+11
By using the method subtraction, Jackson's height is 1.25m.
<h3>What is subtraction?</h3>
To subtract in mathematics is to take something away from a group or a number of objects. The group's total number of items decreases or becomes lower when we subtract from it. The components of a subtraction issue are the minuend, subtrahend, and difference. An arithmetic operation called subtraction simulates the process of deleting items from a collection. The action of subtracting a matrix, vector, or other quantity from another according to predetermined rules in order to find the difference.
Given that,
Grace's height is 1.45 m.
Jackson is 0.2 m shorter than Grace.
Jackson's height is 1.45 -0.2 = 1.25
Therefore, Jackson's height is 1.25m.
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Answer:
Yes , it satisfies the hypothesis and we can conclude that c = 1 is an element of [0,2]
c = 1 ∈ [0,2]
Step-by-step explanation:
Given that:
![f(x) = 4x^2 -3x + 2, [0, 2]](https://tex.z-dn.net/?f=f%28x%29%20%3D%204x%5E2%20-3x%20%2B%202%2C%20%5B0%2C%202%5D)
which is read as the function of x = 4x² - 3x + 2 along the interval [0,2]
Differentiating the function with respect to x is;
f(x) = 8x - 3
Using the Mean value theorem to see if the function satisfies it, we have:
since the polynomial function is differentiated in [0,2]
8c -3 = 5
8c = 5+3
8c = 8
c = 8/8
c = 1
Therefore, we can conclude that c = 1 is an element of [0,2]
c = 1 ∈ [0,2]
Just divide 672 revolutions by 39 & 1/9 revolutions per minute. The units may seem wrong but will easily work themselves out to minutes.
