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viktelen [127]
3 years ago
14

In this graph the y-intercept of the line is (Blank). The equation of the line is y=(Blank) x (Blank) .

Mathematics
1 answer:
seraphim [82]3 years ago
6 0
It dosnt pass through the origins
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Let f be a functions of degree 4 whose coefficients are real numbers: two of its zeros are - 3 and 4 - i. Explain why one of the
kvasek [131]

Answer:

Step-by-step explanation:

We have the following theorem, if f is a polynomial with real coefficients, we can factor it completely in factors of the degree at most 2.

Consider first a polynomial of degree two, hence it is a polynomial of the form ax^2+bx+c. The cuadratic formula tells us that the solutions are of the form

x = \frac{-b\pm \sqrt[]{b^2-4ac}}{2a}.

Note that square root, over the reals, tells us that the are only real solutions if b^2-4ac \geq 0. If that is not the case, say it's negative, the solution are complex. Then, the solutions are of the form

x = \frac{-b \pm i \sqrt[]{4ac-b^2}}{2a}. NOte that this means that if we have a complex number of the form a+bi that is a solution, then the number a-bi (who is called the complex conjugate) is also a solution.

Recall that when we have a polynomial f(x) whose a zero is the number c, then we can factor f as follows f(x) = (x-c) * p(x) where p(x) is another polynomial of lesser degree .

So far, we know that -3 and 4-i are zeros of the function f. Note that we are missing two zeros. But, since complex numbers are zeros of polynomial only by pairs (that is the number and its conjugate are zeros), then, we must have that one of the missing 2 zeros is a real number. We have 4-i as a zero, then, its complex conjugate must be also a zero, i.e 4+i is a zero.

8 0
3 years ago
Find the closing cost, to the nearest cent: house value of $89,548, two points, attorney's fees $324, title fees $105.
BlackZzzverrR [31]
89.548 + 324 + 105
= 89,548 + 429
=  89, 977 dollars
7 0
3 years ago
Read 2 more answers
Two more than a number ​
schepotkina [342]
X+2 Hope this helps!
6 0
2 years ago
Read 2 more answers
What's the basic ratio for 12:42
True [87]

Answer:

Since the simplest form of the fraction 12/42 is 2/7, the simplest form of the ratio 12:42 is also 2:7.

4 0
3 years ago
Convert each part of the ratio to percentage<br>(a) 3:1<br>(b) 2:3:5<br>(c) 1:4<br>(d) 1:2:5<br>​
Scorpion4ik [409]
3:1 =300%
2:3:5 =50%
1:4 =25%
1:2:5 =62.5%
5 0
2 years ago
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