Answer:
x = 3/2 or x = -5/4
Step-by-step explanation:
Solve for x over the real numbers:
8 x^2 - 2 x - 15 = 0
Using the quadratic formula, solve for x.
x = (2 ± sqrt((-2)^2 - 4×8 (-15)))/(2×8) = (2 ± sqrt(4 + 480))/16 = (2 ± sqrt(484))/16:
x = (2 + sqrt(484))/16 or x = (2 - sqrt(484))/16
Simplify radicals.
sqrt(484) = sqrt(4×121) = sqrt(2^2×11^2) = 2×11 = 22:
x = (2 + 22)/16 or x = (2 - 22)/16
Evaluate (2 + 22)/16.
(2 + 22)/16 = 24/16 = 3/2:
x = 3/2 or x = (2 - 22)/16
Evaluate (2 - 22)/16.
(2 - 22)/16 = -20/16 = -5/4:
Answer: x = 3/2 or x = -5/4
Volume of a sphere is calculated with V=(4/3)πr^3
We have the value of r, which is 6.
Plug in the value, and solve.
V=(4/3)π(6^3)
V=(4/3)π(216)
V=π(288)
V=904.7786842
So, C. is your answer.
Answer:
9a + 18
Step-by-step explanation:
so the first step is to evaluate the value of f(2).
Now that we have this value we can use the slope formula (y2 - y1) / (x2 - x1) where y2 is f(a), y1 is 29, x2 is a, and x1 is 2
Now from here we can use long division to simplify it further
The first way i.e. the 4(x)
Step-by-step explanation:
Its because there's no gap in between and the letter is surrounded by brackets on both sides so it cant be divided and it's the only letter . There's no rule in mathematics that allows you to multiply a single number surrounded by brackets at both sides.
Answer:
I got 350.
Step-by-step explanation:
You will understand that two of the squares is 140. Well there are three sets of two squares in the contaminated section. Then there is one more square, which is only half of 140, which is 70.
140 x 3 = 420.
420 + 70 = 490.
490 - 140 (Two squares) = 350.
I hope this helps!
