So in order to add the fractions together you need to first find a common denominator. For the very first problem you can use 63 as a denominator because 7*9=63. Now for the numerator. So you have 4/7 and 8/9. We just multiplied 7 by 9 so now we need to do that for 4 also. 4*9=36. Now we have 36/63. For 8/9 we multiply 8 by 7 to get 56. Now we have 36/63 + 56/63. Once you add those together you simplify your answer.
Answer:
the answer to your first answer is A. also consider using desmos
Step-by-step explanation:
Using the Factor Theorem, it is found that the polynomial function is given by:
- , in which a is the leading coefficient.
<h3>Factor Theorem:
</h3>
- The Factor Theorem states that a polynomial function with roots is given by:
- In which a is the leading coefficient.
In this problem, we have that there is a:
- Zero at x = -2, hence .
- Zero at x = 5, hence .
- Zero at x = -3i, hence there also has to be a zero at it's conjugate x = 3i, hence .
Then, the function is:
To learn more about the Factor Theorem, you can take a look at brainly.com/question/24380382
- The result of Ben's estimation strategy is 7 grams.
- The exact amount of nickel is 8.05 grams.
<u>Step-by-step explanation:</u>
First off all, if we have 1 gram of a substance that has 0.51 gram of copper and 0.26 gram of zinc, the remainder will be:
1 gram - ( 0.51 + 0.26 ) = 1 gram - 0.77 = 0.23 grams.
Hence we have 0.23 gram of nickel.
But the estimation of Ben implies that 1 grams of the substance has 0.2 gram of nickel.
Multiplying the grams of the substance by the gram of nickel to obtain the grams of nickel in 35 grams of the substances.
35 0.2 = 7 grams.
Hence 35 grams of the substance has 7 grams of nickel.
But we know that in 1 gram of the substance are not 0.2 grams of nickel but 0.23 as calculated. So by multiplying the grams of the substance by 0.23 and thereby finding the actual grams of nickel in it:
35 0.23 = 8.05 grams.
Hence 35 grams of the substance has 8.05 grams of nickel.