Answer:
y=2x + 2
Step-by-step explanation:
2 is the slope and 2 is also the y-intercept
y = mx + b
Answer:
Step-by-step explanation:
The volume of the pyramid is given by:
where 
is the area of the base and 
is the height.
We know that the height is:
Thus we need to find the area of the square at the base.
The perimeter of the square is:
this means that the length of the sides of the square is :
Now we can find the area of the base which the area of the square:
and finally we find the volume:
Which rounded to the nearest tenth of a cubic centimeter is:
C=10 & P=5
3C+4P=50
C+P=15
Solve
3C+4P=50
3C+3P=45
Subtract
P=5
Substitute in equation 2
C+P=15
C+5=15
C=10
Answer:
$467.05
Step-by-step explanation:
By getting a discount of 20%, it means he pays 100-20=80% of the initial price
80% is same as 0.8
Price after discount will be
0.8*$562=$449.6
Taxation is then subjected to the discounted price. With tax rate of 6% which is equivalent to 0.06 then the total prive incurres will be 106% of the discounted price, same as 1.06
Final price inclusive of tax
1.06*$449.6=$476.576
Since his credit gives 2% discount of everytging then he only pays 98% of the price inclusive of tax
Payable amount
0.98*476.576=467.04448
Rounded off as $467.05
Answer:
Option (3)
Step-by-step explanation:
Given function is,
f(x) = x⁴ + x³ - 2x²
= x²(x² + x - 2)
= x²(x² + 2x - x - 2)
= x²[x(x + 2) - 1(x + 2)]
= x²(x + 2)(x - 1)
So the factored form of the polynomial function is,
f(x) = x²(x + 2)(x - 1)
For x - intercepts,
F(x) = x²(x + 2)(x - 1) = 0
x = -2, 1
This function has even multiplicity = 2 at x = 0.
Therefore, graph of the function will touch the x-axis at x = 0
And at other roots x = -2, 1 has odd multiplicity = 1, so the graph will cross the x-axis.
Option (3) will be the correct option.
