Answer:
x = -13/9
Step-by-step explanation:
Solve for x over the real numbers:
8^(x - 3) = 16^(3 x + 1)
Hint: | Take logarithms of both sides to turn products into sums and powers into products.
Take the natural logarithm of both sides and use the identity log(a^b) = b log(a):
3 log(2) (x - 3) = 4 log(2) (3 x + 1)
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by log(2):
3 (x - 3) = 4 (3 x + 1)
Hint: | Write the linear polynomial on the left hand side in standard form.
Expand out terms of the left hand side:
3 x - 9 = 4 (3 x + 1)
Hint: | Write the linear polynomial on the right hand side in standard form.
Expand out terms of the right hand side:
3 x - 9 = 12 x + 4
Hint: | Isolate x to the left hand side.
Subtract 12 x - 9 from both sides:
-9 x = 13
Hint: | Solve for x.
Divide both sides by -9:
Answer: x = -13/9
Answer:
The answer is C!
Step-by-step explanation:
You just have to count the all the x's that are at 50 and after!
I hope this helps you!
Answer:
-24 + 3b
Step-by-step explanation:
-3 times 8 - -3 times b
-24 - -3b
and leave it alone cause its not like terms
Answer:
The radius of the cone is approximately 13.4 feet
Step-by-step explanation:
The dimensions of the given cone are;
The distance from the top of the cone to the edge of the cone = 15 feet
The height of the cone = 6 feet
The radius of the cone is given by the base of the right triangle formed by the slant length, the base radius and the height which is found using Pythagoras theorem as follows;
The radius of the cone, r = √((Slant distance)² + (Height)²)
∴ r = √((12 ft.)² + (6 ft.)²) ≈ 13.4 ft. (by rounding to the nearest 10th)
Slope is a measure of how steep a line on a graph is. You find slope by using a formula to find it (y2-y1/x2-x1) or by finding the rise over run of the line by analyzing the graph.
