Answer:
-2.61803398875, -0.38196601125
or
(-3±√5)/2
Step-by-step explanation:
First, expand. (2x+3)² = 4x²+12x+9=5
4x²+12x+4 = 0
Quadratic equations take the form ax²+bx+c = 0
In this case,
a = 4
b = 12
c = 4
You can solve with the equation x=(-b±√b²-4ac)/2a
Plug in:
(-12±√144-64)/8
(-12±√80)/8
(-12±√2^4×5)/8
(-12±4√5)/8
(-3±√5)/2
Final answer x = (-3±√5)/2
If you want decimal form: -2.61803398875, -0.38196601125
Answer:
The answer is D. 5
Step-by-step explanation:
Answer:
i)D:
ii)R: 
iii) Y-int:(0,-1)
Step-by-step explanation:
i) The given absolute value function is;
.
The absolute value function is defined for all real values of x.
The domain is all real numbers.
ii) The range is all y-values that will make x defined.
The given function,
.
has vertex at, (-2,-3) and opens upwards.
This implies that, the minimum y-value is -3.
The range is
iii) To find the y-intercept substitute x=0 in to the function.
.
.
.
.
The y-intercept is (0,-1)
See attachment for graph.
Answer:
The answer is option A) X + 2
Step-by-step explanation:
Any polynomial of order n can be expressed in terms of their roots in factors of the form
(x-a)(x-b)(x-c)(x-d)....... = 0
Where a,b,c,d,... are the roots of the polynomial
In the example shown
(x+2) = (x-(-2))
And -2 happens to be the root of the polynomial in question
Answer:
0.4 liters of juice and 400 mL
Step-by-step explanation:
divide 2/5=0.4 and multiply 0.4x1000=400
