The slope of the graph would be 12.50, or 12.5. You can rewrite this problem out to "y=12.5x+1.5". Since the rate at which the graph is changing is 12.5, that is the slope.
For a binomial expansion with exponent 5, the general equation is as follows
(x + y)⁵ = x⁵ + 5x⁴y + 10x³y² + 10x²y³ + 5xy⁴ + y⁵
when expanded from left to right the powers of x decrease from 5 to 0 and powers of y increase from 0 to 5
substitute x =2x and y = 5
(2x + 5)⁵ = (2x)⁵ + 5(2x)⁴5 + 10(2x)³5² + 10(2x)²5³ + 5(2x)5⁴ + 5⁵
<span>= 32x⁵ + 400x⁴ + 2000x³ + 5000x² + 6250x + 3125
</span>we use the pascals triangle to find the coefficient
we can use the binomial theorem to find the 4th term as well
exponent - 5
term - 4
5!/ (5-4)!4! * (2x)⁴5⁵⁻⁴
=120/24 *16x⁴*5
=400x⁴
Answer:
D
Step-by-step explanation:
your function is not very clear but I'm assuming it's 2 multiplied by 7^x
first let y be equal to the function
to find the range interchange x and y and make the subject
at some point you'll have to use logarithm to get rid of the exponent
only log of positive numbers numbers exist hence y must be greater than 0
Answer:
11 feet
Step-by-step explanation:
Area formed by the watery pattern is 379.94 square feet.
Since the water is being sent out in circular pattern, the maximum distance at which the water is reaching out will be equal to the radius of the circle as the sprinkler is at the center of the circle.
Area of a circle is given as:

This means the radius of the circular pattern being formed is 11 feet. So the sprinkler can spread the water 11 feet away from it.
Answer:
3 
Step-by-step explanation:
1 1/9 + 2 = 3 1/9