according to the question
3x-1=0
3x=1
x=⅓
so
f(x)=18x³+x-1
f(⅓)=18.(⅓)³+⅓-1
f(⅓)=18.⅓.⅓.⅓+⅓-1
f(⅓)=6.⅑+⅓-1
f(⅓)=⅔+½-1
f(⅓)=0
<h3>therefore</h3><h3> the remainder is 0</h3>
Hello :
<span>7x-2y=1 ...(1)
2y=x-1...(2)
</span><span>substitution 2y in (1) :
</span>7x-(x-1) = 1
7x-x+1 = 1
7x = 0
x=0
in (2) : 2y = 0-1
2y = -1 y= -1/2
the <span>system have one solution : (0 ;-1/2)</span>
Step one. create a common denominator.
ex. 15
walnuts = 10/15 dried fruit= 9/15
so if you had 15/15 pounds of dried fruit you would need 16/15 pounds of walnuts
which is 1 1/15 pounds of walnuts
Answer:
y = 7
Step-by-step explanation:
Given:
x1 = -2
y1 = 7
slope (m) = 0
y - y1 = m ( x - x1 )
y - 7 = 0 ( x - (-2) )
y - 7 = 0 ( x + 2 )
y - 7 = 0
y = 7
Answer: A, B, C, and E
Step-by-step explanation:
If both sides are real numbers, then the product will be a real number.
If in at least one of the sides we have a complex number, then the product will be real if:
The other number is zero.
The other number is the conjugate of the first.
This is when:
Suppose we have a number:
z = a + b*i
The conjugate will be:
w = a - b*i
And the product between them is:
(a + b*i)*(a - b*i) = a^2 + a*b*i - a*b*i + b^2 = a^2 + b^2
Then the options that will have a real answer are:
A. (4+5i)(4-5i) = 4^2 + 5^2 = 16 + 25 = 41
B. (4 + 91)*(41 - 9) = 3040
C. (3 + 2*i)*(3 -2*i) = 3^2 + 2^2 = 9 + 4 = 13
E. (312 + 7i)*(312 - 7i) = 312^2 + 7^2 = 97,393
