Make it into slope intercept form which is y=mx+b
subtract x ffrom both sides
2y=-5-x
divide by 2
y=-1/2x-5/2
y=mx+b
m=slope
b=y intercept or where the line passes through the y-axis
now one way is to graph points by subsituting
if x is 0 then y=-5//2
if x=1 then y=-3
if x=-5 then y=0
another way is to find out where the line passes though the y and x axis or the y and x intecepts respectively
the y intercept is when x=0
the x intecept is when y=0
so set each to zero and solve
if x=0
y=-1/2(0)-5/2
y=-5/2
the line passes throught the y axis at -5/2, plot the point (0,-5/2) on the y axis
then set y to zero
0=-1/2x-5/2
add 5/2 to both sides
5/2=-1/2x
multiply -1
-5/2=1/2x
multiply by 2
-5=x
therefor the line passes through tthe x axis at (-5,0)
then draw the line between the 2 points
here is the graph
Answer:
Simplest polynomial: x²+x-12
Step-by-step explanation:
zeroes of polynomial= 3,-4
Therefore,
f(3) =0
f(-4)=0.
By factor Theorem
(x-3) and (x+4) are factors
so simplest polynomial is
(x-3)(x+4)
= x² - 3x + 4x -12
= x² + x -12
.
Hope it helps
Answer:
3
Step-by-step explanation:
the choises are 2,3,4 so the right answer is 3
Answer:
<u>Width = 2x² , Length = 7x² + 3</u>
Step-by-step explanation:
The area of the rectangle = 14x⁴ + 6x²
The width of the rectangle (in meters) is equal to the greatest common monomial factor of 14x⁴ and 6x²
Factors of 14: 1 * <u>2</u> * 7
Factors of 6: 1 * <u>2</u> * *3
∴ The greatest common monomial factor of 14 and 6 = 2
Factors of x⁴: x , x² , x³ , x⁴
Factors of x²: x , x²
∴ The greatest common factor of x⁴ and x² = x²
∴ Width = 2x²
∵ Area = length times the width
∴ Length = Area/Width
Length =
Answer:
Equation is x^2-100=0
Step-by-step explanation:
I'm assuming everything is in standard form. Just plug in the values.
1(x)^2+(0)x+(-100)=0
0 times x is 0, so it simplifies to
x^2-100=0