Answer:
<u>The answer is 1. 64 and 2. 60</u>
Step-by-step explanation:
Question 7. 75% of what number is 48?
Number = x
75%x = 48
3x/4 = 48 (75% = 3/4)
3x = 192 (Multiplying by 4 at both sides of the equation)
<u>x = 64</u> (Dividing by 3 at both sides of the equation)
<u>Part 75 Whole 48 Part 100 Whole 64</u>
Question 8. 120% of what number is 72?
Number = x
120%x = 72
12x/10 = 72 (120% = 12/10)
12x = 720 (Multiplying by 10 at both sides of the equation)
<u>x = 60</u> (Dividing by 12 at both sides of the equation)
<u>Part 120 Whole 72 Part 100 Whole 60</u>
Answer: No, the set of odd integers is not closed for addition
Explanation:
It's asking if we can take any two odd numbers, add them, and get an odd number result.
Here are some counterexamples
3+5 = 8
1+23 = 24
89+11 = 100
All it takes is one pair of odd numbers to add to something not odd to show that the set of odd integers is not closed for addition.
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In contrast, the set of even numbers is closed under addition. We can add any two even numbers to get some even number result
2+4 = 6
8+10 = 18
20+30 = 50
and so on
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The proof is given below
m and n are integers
2m = some even number
2n = some other even number
2m+2n = 2(m+n) = 2*(integer) = another even integer
This proves that adding any two even integers leads to another even integer.
Step-by-step explanation:
f(x)=3(x-1)2-4
3x=-3-2
x=-5÷3
x=-1.666666
Answer:
After factorizing the given polynomial we get 6x^2 (x+6)(x-2)
Step-by-step explanation:
Given Polynomial:
6x^4+24x^3−72x^2
We need to completely factorize the polynomial.
Consider,
6x^4+24x^3−72x^2
GCF = 6x^2, By taking it common out
= 6x^2 (x^2+4x-12)
= 6x^2 (x^2+6x-2x-12)
= 6x^2 (x(x+6)-2(x+6))
= 6x^2 (x+6)(x-2)
Therefore, After factorizing the given polynomial we get 6x² ( x + 6 ) ( x - 2 )
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