For x intercepts, plug in 0 for y.
0 = (x^2) - 2x - 35
*factoring* = (x-7)(x+5)
x intercepts = 7,-5
As for the vertex, you can use the equation -b/2a for the x-coordinate of the vertex
so,
x = -b/2a = -(-2)/2 = 1
then just find the y value by plugging it back in to the equation.
y = ((1)^2) - 2(1) - 35
= -36
so, vertex is at (1,-36)
9514 1404 393
Answer:
a = (4/3)(y+g)
Step-by-step explanation:
Isolate 'a' term, then multiply by the reciprocal of its coefficient.
ANSWER
Or
EXPLANATION
Let us find the gradient of the line:
by rewriting it in the slope intercept form.
We divide through by 4 now;
This is now in the form;
where
is he slope.
This implies that the slope of the line that is perpendicular to this line will be the negative reciprocal of .
Thus the perpendicular line has slope,
.
Let the perpendicular line have equation,
When we substitute the slope we have;
We substitute the point. 
to find c.
We substitute c to obtain;
Or
Answer: it will take the faster computer 15 minutes to do the job on its own.
Step-by-step explanation:
Let t represent the number of minutes it will take the faster computer to do the job on its own. It means that the rate at which it does the job per minute is 1/t
If it takes the slower computer 30 minutes to do the job on its own. It means that the rate at which it does the job on its own per minute is 1/30
By working together, they would work simultaneously and their individual rates are additive. Working together it takes two computers 10 minutes to send out a company's email. It means that the rate at which both computers work together per minute is 1/10 Therefore,
1/t + 1/30 = 1/10
Cross multiplying by 30x, it becomes
3x = x + 30
3x - x = 30
2x = 30
x = 30/2
x = 15 minutes
Answer:
4(x-2)(x+1)=0
Step-by-step explanation:
