f(x) = -4x^2+12x-9f(x)=−4x 2 +12x−9f, left parenthesis, x, right parenthesis, equals, minus, 4, x, squared, plus, 12, x, minus,
Olin [163]
Answer:
The graph has only one x-intercept
Step-by-step explanation:
we have

we know that
The discriminant of a quadratic equation of the form
is equal to
in this problem we have

so

substitute
The discriminant is zero
That means ----> The quadratic equation has one real solution
The graph has only one x-intercept
Answer:
64
Step-by-step explanation:
divide 2048 by 2 since half is already used gives you 1024 ...then divide 1024 by 16 to get 64..
Answer:
The coefficient matrix is singular, so there are no solutions or infinite solutions.
The two equations in the linear system are the same, so there are infinite solutions.
Yes, there are solutions
Step-by-step explanation:
<span>Answer: Brian
has some understanding of budgeting. However, a budget does not create
more money each month. It just helps him use his money better.
This is what Brian said and my assessment:
</span>
<span>.... his budget helps him know where his money is
being spent TRUE
It allows him to spend some money on entertainment with
the peace of mind that he will be able to pay the rent: TRUE
...and even gives
him more money each month NOT REALLY ... money is not created by the budget</span>
4 sin^2 θ + 13cos^2 θ = 7
sin^2 θ = 1 - cos^ θ
4 - 4cos^2 θ + 13cos^2 θ = 7
9cos^2 θ = 3
cos^2 θ = 1/3
cos θ = # (1/3) # - square root
Square root of (1/3) has +1/3 and -1/3 as values of cos
Find the key angle by doing the cos inverse of #1/3
K.A = cos^-1 #(1/3) = 0.955
θ lies in all 4 quadrants
The values of θ are:
θ = 0.955, 2.186, 4.096, 7.23
Ignore 0.955, 2.186, 4.096, 7.23 as they are out of range pi/2 = 1.571
The the value of θ = 0.955 = 0.96 (to 2 d.p) radian
Hope it helped!