Answer:
The equation is;
y = 12x-41
Step-by-step explanation:
Mathematically;
slope intercept form is;
y = mx + b
where m is slope and b is intercept
Since we already have the slope , the equation is;
y = 12x + b
To get b which is the y intercept, we simply substitute the value of the points given
Thus;
19 = 5(12) + b
19 = 60+ b
b = 19-60
b = -41
So the equation is;
y = 12x - 41
The general form of a polynomial is: x² + bx + c = 0. Substituting the roots,
3² + b(3) + c = 0
3b + c = -9 --> eqn 1
(5 + √5)² + (5 +√5)(b) + c = 0
(5+√5)b + c = -30-10√5 --> eqn 2
Solving both equations simultaneously by subtracting eqn 2 from eqn 1,
(-2 - √5)b = 21 + 10√5
b = -8 - √5
Using eqn 1,
3(-8 - √5) + c = -9
-24 - 3√5 + c = -9
c = -9 + 24 + 3√5
c = 15 + 3√5
Hence, the polynomial is: <em>f(x) = x² + (-8 - √5)x + (15 + 3√5)</em>.
Answer:
2*2*3*3*5
Step-by-step explanation:
Factor 180 into prime numbers that multiply together to give 180
180 = 20 *9
= 4*5 * 3*3
= 2*2* 5 * 3*3
Now rewrite them from smallest to largest
2*2*3*3*5
No it has a solution
X=0
Subtract 4 from both sides to get -6x=0
Divide by -6 on both sides you get x=0
One fifth of a number n is equal -7 as an equation would look like this:
1/5 n = -7 / * 5 (both sides)
n = -35
So if number n equals -35, then it's true that 1/5n equals -7.
