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rusak2 [61]
3 years ago
15

Write an equation in point-slope form for the line through the given point with the given slope.

Mathematics
1 answer:
const2013 [10]3 years ago
4 0

Answer:

whoa thats huge

Step-by-step explanation:


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Which polynomial function has a leading coefficient of 1 and roots (7 i) and (5 – i) with multiplicity 1? f(x) = (x 7)(x – i)(x
Nuetrik [128]

It looks like you might have intended to say the roots are 7 + i and 5 - i, judging by the extra space between 7 and i.

The simplest polynomial with these characteristics would be

f(x) = (x - (7 + i)) (x - (5 - i))

but seeing as each of the options appears to be a quartic polynomial, I suspect f(x) is also supposed to have only real coefficients. In that case, we need to pair up any complex root with its conjugate to "complete" f(x). We end up with

f(x) = (x - (7 + i)) (x - (7 - i)) (x - (5 - i)) (x - (5 + i))

which appears to most closely resemble the third option. Upon expanding, we see f(x) does indeed have real coefficients:

f(x) = (x^2 - (7^2 - i^2)) (x^2 - (5^2 - i^2)) = (x^2 - 8) (x^2 - 6) = x^4 - 14x^2 + 48

5 0
2 years ago
What is x in 3.6x=1.6x+24
Ipatiy [6.2K]

Answer:

x=12

Step-by-step explanation:

3.6x=1.6x+24

We simplify the equation to the form, which is simple to understand

3.6x=1.6x+24

We move all terms containing x to the left and all other terms to the right.

+3.6x-1.6x=+24

We simplify left and right side of the equation.

+2x=+24

We divide both sides of the equation by 2 to get x.

x=12

7 0
3 years ago
PLEASE HELP Which of the following is false about the Y intercept
Flauer [41]
The answer choice that is false is D.

The form of the y-intercept is (0,Y). Remember that x comes first in an ordered pair and y comes second.

Hope this helps!
7 0
3 years ago
The sum of the square of two consecutive whole number is 25. Find the numbers
Gnom [1K]
Don't you mean "the sum of the squares ..."?
The sum of the squares of two consecutive whole numbers is 25.  Find the numbers.  Let the first be represented by x and the second by x+1.
Then x^2+(x+1)^2=25.  Expanding, x^2+x^2+2x+1=25.
Rewriting this as a quadratic equation in standard form,

2x^2+2x+1=25, or 2x^2+2x-24=0.  Simplifying, x^2+x-12=0.
Factoring, (x-3)(x+4)=0.  Solving for x:  x-3=0, so x=3; x+4=0, so x=-4.
Choose the positive x value:  x=3.  Then the next consecutive number is 2+1=3+1=4.

Check:  Does 3^2 + 4^2 = 5^2 = 25?  Yes.
The numbers are 3 and 4.
3 0
3 years ago
I'm doing homework with a friend and we REALLY need help. What is 650's perfect square if it has one?
creativ13 [48]
It is not a perfect square.
7 0
3 years ago
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