Answer:
There is only 1 solution for x.
Step-by-step explanation:
Hi there!
This is a linear-quadratic system. If the line is tangent to the parabola, it means that it would only have 1 solution.
Set y equal:
Move everything to the left side:
Divide both sides by 3:
Factor:
Solve for <em>x</em>:
Therefore, the only solution for x when y is set equal for both functions is 1. There is only 1 solution for x, so is tangent to the curve .
I hope this helps!
Answer:
Step-by-step explanation:
a=lw
a=100x^2+60x+9
(10x)^2+60x+3^2
(10x+3)^2=a
a=(10x+3)(10x+3)
51 = 3k. We can switch this around to 3k = 51 (because it's easier for me)
3k = 51.
We divide by 3 on both sides to just get "k".
3k / 3 = 51 / 3
k = 17.
The answer is b
first do x+1, which is 4
then do 4(4), which is 16
then add the 3 to 16, which is 19, thus b is correct
Answer:
b=2
Step-by-step explanation:
we have
9x+12y=21 -----> equation A
6x+8y=7b ----> equation B
we know that
If the system of equations have an infinite number of solutions then the equation A must be equal to the equation B
Multiply equation B by 1.5 both sides
1.5*[6x+8y[=7b*1.5
9x+12y=10.5b ----> equation C
Compare equation A and equation C
9x+12y=21 -----> equation A
9x+12y=10.5b ----> equation C
For the equations to be equal it must be fulfilled that
21=10.5b
solve for b
b=21/10.5
b=2