Answer:
2x^2 +11
Step-by-step explanation:
f(x) = 3x^2 + 2 and g(x) = x^2 – 9
(f – g)(x) = 3x^2 + 2 -( x^2 – 9)
Distribute the minus sign
3x^2 + 2 - x^2 + 9
Combine like terms
2x^2 +11
Answer:
x = 12, x = 7
Step-by-step explanation:
The 2 legs of the triangle are congruent, both 2x + 7, then
2x + 7 + 2x + 7 + x + 11 = 85 ← equation for perimeter
5x + 25 = 85 ( subtract 25 from both sides )
5x = 60 ( divide both sides by 5 )
x = 12
-----------------------------------------------------------
Opposite sides are congruent, then
2(2x) + 2(5x + 3) = 104 ← distribute and simplify both sides
4x + 10x + 6 = 104
14x + 6 = 104 ( subtract 6 from both sides )
14x = 98 ( divide both sides by 14 )
x = 7
A. 100/20
The distance in meters should be divided by the time in seconds to get the value of the distance in meters travelled in one second.
Answer:
The flip flops cost $25.56 after the discount and tax.
Step-by-step explanation:
A pair of flip flops is $30. This is our starting amount.
The tax will be applied on the price the flip flops are bought for. This means we must apply the discount first.
The discount is 20%. Let's find what the flip flops were sold for.
If the discount is 20%, the flip flops were sold for 80% of their original price. Let's find 80% of 30.
80% of 30 = ?
0.80 • 30 = ?
= 24
The flip flops were sold for $24.
Now we have to apply a 6.5% tax. To find the amount of money added to the total, we need to find 6.5% of 24.
6.5% of 24 = ?
0.065 • 24 = ?
= 1.56
The tax was $1.56.
We need to add the tax to the discounted price.
1.56 + 24 = ?
= 25.56
The flip flops cost $25.56 after the discount and tax.
Hope this helps!
