To determine the degree of the product of the given trinomials, you would multiply the term with the highest degree of each trinomial together. Both trinomials are degree 2, and when you multiply x2<span> by </span>x2<span>, you add the exponents to get </span>x4<span>. Thus, the degree of the product is 4. If the product is degree 4, and there is only one variable, the maximum number of terms is 5. There can be an </span>x4<span> term, an </span>x3<span> term, an </span> x2<span> term, an </span>x<span> term, and a constant term. </span>
<h3>
Answer: 127</h3>
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Explanation:
The phrasing "2/3 of 4/5 of his 2nd exam on his 3rd test" is a bit clunky in my opinion. It seems more complicated than it has to be.
The student got 80 on the second exam. 4/5 of this is (4/5)*80 = 0.8*80 = 64. Then we take 2/3 of this to get (2/3)*64 = 42.667 approximately. If we assume only whole number scores are given, then this would round to 43.
Let x be the score on the fourth exam. Since 5 points of extra credit are given, the student actually got x+5 points on this exam.
So we have these scores
- first exam = 70
- second exam = 80
- third exam = 43
- fourth exam = x+5
Adding up these scores and dividing by 4 will get us the average
(sum of scores)/(number of scores) = average
(70+80+43+x+5)/4 = 80
(x+198)/4 = 80
x+198 = 4*80
x+198 = 320
x = 320 - 198
x = 122
So the student got a score of x+5 = 122+5 = 127 on the fourth exam.
Answer:
6/12 = 1/2
Step-by-step explanation:
One dice has 3 even and 3 odd numbers. Since there are two dice there will be 6 even and 6 odd. Therefore, the probability of getting an odd number is 1/2
1. You do 180-88 because supplementary angles add up to 180°.
2. 180-88=92°. Angle 4 is 92°
Answer:
$6,139.1
Step-by-step explanation:
Using the compound interest formula;
A = P(1+r)^t
P is the amount invested
A is the amount = $10000
r is the rate = 5%
t is the time = 10years
10000 = P(1+0.05)^10
10000 = P(1.05)^10
10,000 = P(1.6289)
Swap
P(1.6289) = 10,000
P = 10,000/1.6289
P = 6,139.1
Hence I need to invest $6,139.1
