Answer:
(x, y) = (8, 6)
Step-by-step explanation:
given the 2 equations
2x - y = 10 → (1)
2x - 2y = 4 → (2)
rearrange equation (1) expressing y in terms of x
y = 2x - 10 → (3)
Substitute y = 2x - 10 in equation (2)
2x - 2(2x - 10) = 4
2x - 4x + 20 = 4
- 2x + 20 = 4 ( subtract 20 from both sides )
- 2x = - 16 ( divide both sides by - 2 )
x = 8
substitute x = 8 in equation (3)
y = (2 × 8) - 10 = 16 - 10 = 6
solution is (8 , 6)
Answer:
168.168 square inches
Step-by-step explanation:
Given data
From the question, we can deduce that the side of the square is 28in
Hence the area of the square is
Area= 28^2
Area= 784 square inches
Also, the diameter of the circle is 28 in
The radius = 14 in
Area of circle= πr^2
Area= 3.142*14^2
Area= 3.142* 196
Area= 615.832 square inches
Therefore the area of the shaded region is
= Area of Square - Area of Circle
= 784-615.832
=168.168 square inches
You multiply the amount of mix by 3 and you milk by 3 as well...
The domain and range of the new function compare to the domain and range of the original function is domain and range of the function will be same after the modification.
<h3>What is domain and range of the function?</h3>
The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
Given function:
f(x)= a
As, the value increased by 2.
Now, the value of the given function f(x) is modified such that the value of b remains same but the value of a is increased by 2.
Here, The domain and range of the function will be same after the modification.
Learn more about this concept here:
brainly.com/question/12278642
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Answer:
The new class average for number of siblings is 3 5/26 or 3.1923
Step-by-step explanation:
if the average is 3 siblings per student and there are 25 students, it means that we can calculate the number of siblings
25 * 3 = 75
we add the 8 new siblings and we also add the student
75 + 8 = 83
25 + 1 = 26
To find the new average of siblings per student, we divide the number of siblings by the number of students.
83 / 26 = 3 5/26
the new class average for number of siblings is 3 5/26 or 3.1923