Answer:
$2.75 before tax. With 7% tax rate, it is $0.19.
Step-by-step explanation:
Answer:
Step-by-step explanation:
10x-9y=24....(1)
y=x-2...(2)
Substitute (2) into (1)
10x-9(x-2)=24
10x-9x+18=24
x+18=24
Substrate 18 from both sides
x=6
Substitute the value of x in (2)
y=6-2
y=4
When x=6,y=4
Answer:
what is x?
Step-by-step explanation:
Answer:
Step-by-step explanation:
1 surface area of the cube is s*s.
There are 6 faces on such a cube.
Area = 6*s^2 Divide by 6
Area/6 = 6s^2 / 6 Do the divsion
Area/6 = s^2
s = sqrt(area/6)
Answer:
49/8 is the value of k
Step-by-step explanation:
We have the system
x = -2y^2 - 3y + 5
x=k
We want to find k such that the system intersects once.
If we substitute the second into the first giving us k=-2y^2-3y+5 we should see we have a quadratic equation in terms of variable y.
This equation has one solution when it's discriminant is 0.
Let's first rewrite the equation in standard form.
Subtracting k on both sides gives
0=-2y^2-3y+5-k
The discriminant can be found by evaluating
b^2-4ac.
Upon comparing 0=-2y^2-3y+5-k to 0=ax^2+bx+c, we see that
a=-2, b=-3, and c=5-k.
So we want to solve the following equation for k:
(-3)^2-4(-2)(5-k)=0
9+8(5-k)=0
Distribute:
9+40-8k=0
49-8k=0
Add 8k on both sides:
49=8k
Divide both sides by 8"
49/8=k
