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:
IQR: 20
Range: 52
Step-by-step explanation:
IQR = 88 - 68 = 20
Range = 100 - 48 = 52
Vsphere=(4/3)pir³
d/2=r
given
d=4
d/2=r=4/2=2
Vsphere=(4/3)pi2³
Vsphere=(4/3)pi8
Vsphere=32/3pi
using pi=3.14
Vsphere=33.493333333333 cm³
round
Vsphere=33 cm³
Answer: Conclusion
If a conditional is true and its hypothesis is true, then its conclusion is true.
Answer: $396
Step-by-step explanation:
<u>Step 1: Write your equation:</u> $550- ($550 × .07) ×4
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<u>Step 2: Solve your equation:</u> $550- ($550 × .07) ×4
$550-$38.5×4
$550-$154
$396