Answer:
Step-by-step explanation:
Factorize:
<u>Factor Theorem</u>
If f(a) = 0 for a polynomial then (x - a) is a factor of the polynomial f(x).
Substitute x = 1 into the function:
Therefore, (x - 1) is a factor.
As the polynomial is cubic:
Expanding the brackets:
Comparing coefficients with the original polynomial:
Therefore:
Cannot be factored any further.
Answer:
The initial amount in the account is $333.33
Step-by-step explanation:
Here, we want to calculate the initial amount in the account.
Let the initial amount be $x
Mathematically;
Simple interest = PRT/100
where P is the amount deposited = $x
R is the rate = 10%
T is the time = 5 years
Simple interest = Present amount - Principal = $(500-x)
By substituting;
500-x = (x * 10 * 5)/100
100(500-x) = 50x
50,000 - 100x = 50x
50,000 = 100x + 50x
150x = 50,000
x = 50,000/150
x = 333.33333333
Which to the nearest penny ; x = $333.33
1) Proportion a.
7 : 28 = 2 : 8
That means that the ratio 7 / 28 is equal to the ratio 2 : 8.
You can verify the equality by simplifying to the simplest form:
7 : 28 = 1 / 4 simplest form
2 : 8 = 1 / 4 simplest form, then the proportion is right.
In words that is 7 is to 28 as 1 is to 4 ← answer
2) Proportion b.<span>. 3⁄1 = 18⁄6
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</span><span>In words: 3 is to q as 18 is to 6 ← answer
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</span><span>You can verify the proportion by simplifiying the second fraction:
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</span><span> 18 / 6 = [18 / 6] / [ 6 / 6] = 3 / 1
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</span><span>3) Proportion c. 9 : 72 = 2 : 16
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</span><span>In words: 9 is to 72 as 2 is to 16 ← answer
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</span><span>Proove the proportion:
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</span><span> 9 / 72 = 1 / 8
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</span><span> 2 / 16 = 1 / 8
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</span><span>4) Proportion d. 81⁄9 = 45⁄5</span>
In words: 81 is to 9 as 45 is to 5 ← answer
Proove it:
81 / 9 = 9
45 / 9 = 9
Answer:
B.
Step-by-step explanation:
Missing xx:1 Missing y:5
Answer:
C) 21 girls : 9 boys
Step-by-step explanation:
You just have to compare the ratio you're given to the answers and see if the ratios from the answers match up to the ratio you were given. The reason C is the answer is because if you divide by 3 in the ration, it is the same as the ratio you were given, 7:3
