The zero product property tells us that if the product of two or more factors is zero, then each one of these factors CAN be zero.
For more context let's look at the first equation in the problem that we can apply this to:
Through zero property we know that the factor
can be equal to zero as well as
. This is because, even if only one of them is zero, the product will immediately be zero.
The zero product property is best applied to
factorable quadratic equations in this case.
Another factorable equation would be
since we can factor out
and end up with
. Now we'll end up with two factors,
and
, which we can apply the zero product property to.
The rest of the options are not factorable thus the zero product property won't apply to them.
Answer:
Step-by-step explanation:
to use the elimination you have to make one of the numbers same
so
and you would have to change the sign so that both of the 3x could cancel out.
New system of equation
so we know the y value so now you could find the x value take one equation
you could try it with both of the equations
Answer:
9.625 gallons will be used by the painters in 3.5 hours
Step-by-step explanation:
2.75 gallons = 1 hr
X gallons = 3.5 hrs
X = (3.5 × 2.75)/1
X = 9.625 gallons
9.625 gallons will be used by the painters in 3.5 hours
Answer:
The length of the equal side is 27 meters each and that of the unequal side is 36 meters
Step-by-step explanation:
An isosceles triangle is a triangle with two sides being equal (also two equal base angles).
Let us assume the length of the two equal sides to be x meters each, and the length of the unequal side to be y meter. Since the perimeter of the triangle is 90 m, it can be expressed as:
x + x + y = 90
2x + y = 90
But the length of the equal side is three fourth of the unequal side, i.e x = 3/4y
Therefore:
2(3/4y) + y = 90
3/2y + y = 90
2.5y = 90
y = 90/2.5
y = 36 meters
Also x = 3/4 * 36 = 27 meters
The length of the equal side is 27 meters each and that of the unequal side is 36 meters
vertex = (3,- 5 )
given a quadratic in standard form : y = ax² + bx + c ( a ≠ 0 ), then
the x-coordinate of the vertex is
= - 
y = x² - 6x + 4 is in standard form
with a = 1, b = - 6 and c = 4, hence
= - 
= 3
substitute this value into the equation for y- coordinate
y = 3² - 6(3) + 4 = 9 - 18 + 4 = - 5
vertex = (3, - 5 ) → second table
