Answer:
70sqrt(6)
Step-by-step explanation:
7×(600)^½
7×[6^½ × 100^½]
7× 6^½ × 10
70×6^½
70sqrt(6)
sqrt: square root
answer:
y=1x-50
step-by-step explanation:
y=mx+b
m=slope
b=y-intercept
x=unknown variable
to find the slope i used rise/run
my rise was 3 and my run was also 3
3÷3=1
the slope is going to the right making it positive
the y-intercept is -50 because that is where the line hits the y-axis
good luck :) hopefully this helps
have a great day !!
Answer:
![f(x)=x^{3}-3x^{2} +4x-2](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E%7B3%7D-3x%5E%7B2%7D%20%2B4x-2)
Step-by-step explanation:
we know that
The <u><em>conjugate root theorem</em></u> states that if the complex number a + bi is a root of a polynomial P(x) in one variable with real coefficients, then the complex conjugate a - bi is also a root of that polynomial
In this problem we have that
The polynomial has roots 1 and (1+i)
so
by the conjugate root theorem
(1-i) is also a root of the polynomial
therefore
The lowest degree of the polynomial is 3
so
![f(x)=a(x-1)(x-(1+i))(x-(1-i))](https://tex.z-dn.net/?f=f%28x%29%3Da%28x-1%29%28x-%281%2Bi%29%29%28x-%281-i%29%29)
Remember that
The leading coefficient is 1
so
a=1
![f(x)=(x-1)(x-(1+i))(x-(1-i))\\\\f(x)=(x-1)[x^{2} -(1-i)x-(1+i)x+(1-i^2)]\\\\f(x)=(x-1)[x^{2} -x+xi-x-xi+2]\\\\f(x)=(x-1)[x^{2} -2x+2]\\\\f(x)=x^{3}-2x^{2} +2x-x^{2} +2x-2\\\\f(x)=x^{3}-3x^{2} +4x-2](https://tex.z-dn.net/?f=f%28x%29%3D%28x-1%29%28x-%281%2Bi%29%29%28x-%281-i%29%29%5C%5C%5C%5Cf%28x%29%3D%28x-1%29%5Bx%5E%7B2%7D%20-%281-i%29x-%281%2Bi%29x%2B%281-i%5E2%29%5D%5C%5C%5C%5Cf%28x%29%3D%28x-1%29%5Bx%5E%7B2%7D%20-x%2Bxi-x-xi%2B2%5D%5C%5C%5C%5Cf%28x%29%3D%28x-1%29%5Bx%5E%7B2%7D%20-2x%2B2%5D%5C%5C%5C%5Cf%28x%29%3Dx%5E%7B3%7D-2x%5E%7B2%7D%20%2B2x-x%5E%7B2%7D%20%2B2x-2%5C%5C%5C%5Cf%28x%29%3Dx%5E%7B3%7D-3x%5E%7B2%7D%20%2B4x-2)
c. the number of persons allegric to penicillin
Answer:
the integers are -28 and -29
Step-by-step explanation:
Lets do math:
When i was little this was hard but now its pretty easy
look two consecutive numbers are like 1, 2, 3, their difference is usually 1
our equation looks like this:
-57=x+(x-1)
we add 1 to both sides and get:
-56=2x
divide by 2 because im smart
-28=x
thats one number but how 'bout the other one?
we just have to subtract 1 and get -29
the end.