Answer:
a. 36% of students
b. 32 students
Step-by-step explanation:
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Answer:
C
Step-by-step explanation:
To add the polynomials you can only add like terms. Like terms are terms that have the same variables and exponents. Only -5 and 4 are like terms. So leave the other terms alone.
The sum is 11x^2 + x - 1.
((x+2)(x+2))-((x-5)(1))=A
x^2+4x+4-x+5=A
x^2+3x+9=A
We can solve this with the following system
a(2)^2 + b(2) + c = 23
a(4)^2 + b(4) + c = 55
a(10)^2 + b(10) + c = 247 simplifying, we have
4a + 2b + c = 23 (1)
16a + 4b + c = 55 (2)
100a + 10b + c = 247 (3)
Subtract (1) from (2) and (2) from (3) ...and we get the following system
12a + 2b = 32
84a + 6b = 192 these simplify to
6a + b = 16 → b = 16 - 6a (4)
28a + 2b = 64 (5)
Substitute (4) into (5)
28a + 2[16 - 6a] = 64 simplify
28a + 32 - 12a = 64
16a + 32 = 64 subtract 32 from both sides
16a = 32 divide both sides by 16
a = 2
And using (4) .....
b = 16 - 6(2) = 16 - 12 = 4
And using (1) ......
4(2) + 2(4) + c = 23
8 + 8 + c = 23
16 + c = 23
So c = 7
And our cost function is :
c(x) = 2x^2 + 4x + 7 and the cost to produce 8 widgets is
c(8) = 2(8)^2 + 4(8) + 7 = 2*64 + 32 + 7 = 128 + 39 = $ 167
First definition matches with expression, second matches with equation ,third matches with algorithm and fourth matches with equation.
Given four definitions of equation, expression, algorithm but mixed.
We have to match the definitions with appropriate term.
We know that expression is a combination of numbers, symbols, fraction, coefficients, indeterminants mostly not found in equal to form. It exhibits a behaviour only.
Algorithm is a computer programming to do a specific task in a predetermined way.
Equation is a relationship between two variables expressed in equal to form. In this we have to put the value of variables and the equation gives us a value.
Hence First definition matches with expression, second matches with equation ,third matches with algorithm and fourth matches with equation.
Learn more about algorithm at brainly.com/question/13800096
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