Answer:
Step-by-step explanation:
A quadratic in factored form is usually expressed as: 
where the sign of a and b depends on the sign of the zero. And I said "usually" since sometimes the x will have a coefficient. Anyways in the quadratic there are two zeroes at x=-1 and x=3. This can be written as: 
. Notice how the signs are different? This is because when you plug in -1 as x you get a factor of (-1+1) which becomes 0 and it makes the entire thing zero since when you multiply by 0, you get 0. Same thing for the x-3 if you plug in x=3. Now a is in front and it can influence the stretch/compression. To find the value of a, you can take any point (except for the zeroes, because it will make the entire thing zero, and you can technically input anything in as a)
I'll use the point (1, -4) the vertex
-4 = a(1+1)(1-3)
-4 = a(2)(-2)
-4 = -4a
1 = a. So yeah the value of a is 1
So the equation is just:
Yes!
This would be in-fact a linear equation!
<h3>How?</h3>
This equation is set up in y=mx+b form, therefore we know it is a linear equation.
<h3>Example of a linear equation:</h3>
y=12x+2
The 12 is the mx in the equation.
And the 2 is the B in the equation! :)
That is how we solve that.
Any questions?
Have a great day!
Answer:
There are 12 3/4-cup servings in 9 cups.
Step-by-step explanation:
How many 3/4 <u>cups</u> are there in 9 cups?
Divide 9 cups by (3/4 cup):
9 cups 9
----------------- = ------- = 9(4/3) = 12 3/4-cup servings.
(3/4 cup) (3/4)
Answer:
1)
(x + 3)(x + 4) = x^2 + 4x + 3x + 12 = x^2 + 7x + 12
Instead of multiplying 3 and 4 the student added them which gave them the answer of 7 when the correct answer is 12.
2)
a) x^2 + x - 2
b) x^2 - 7x + 10
c) 4x^2 - 1
d) x^2 + 10x + 25
Step-by-step explanation:
a. (x - 1)(x + 2)
x(x) - 1(x) + 2(x) - 1(2)
x^2 - 1x + 2x - 2
x^2 + x - 2
------------------------------------------
b. (x - 5)(x - 2)
x(x) - 5(x) - 2(x) - 5(-2)
x^2 - 5x - 2x + 10
x^2 - 7x + 10
------------------------------------------
c. (2x + 1)(2x - 1)
2x(2x) + 1(2x) - 1(2x) + 1(-1)
4x^2 + 2x - 2x - 1
4x^2 - 1
------------------------------------------
d. (x + 5)^2
(x + 5)(x + 5)
x(x) + 5(x) + 5(x) + 5(5)
x^2 + 5x + 5x + 25
x^2 + 10x + 25
Answer:
Step-by-step explanation:
3x - 2 + x + 8 = ( 9x + 7 - x + 5)/2
Add the like terms
4x + 6 = 8x + 12/2
Cross multiply or multiply both side by two
2(4x + 6) = 8x + 12
Use 2 to open the bracket
8x + 12 = 8x + 12
Collect like terms
8x - 8x = 12 - 12
0 = 0
Therefore, the equation has no solution
