Answer:
11.) y-int:(0,1); x-int:(1,0)
12.) y-int:(0,8); x-int:(4,0)
13.) y-int:(0,-9); x-int:(-3,0)
14.) y-int:(0,-5); x-int:(-2.5,0)
Step-by-step explanation:
For each equation, first you have to graph it. Then to find the y-intercept, you mark and check where your line of your equation intersects the y-axis. To find the x-intercept, you mark and check where the line of your equation intersects the x-axis. The y-intercept always will have the coordinates of x=0 and the x-intercept always will have the coordinates of y=0.
The exponential model has an initial value of 3
The exponential model of the data is f(x) = 3 * (1.2)^x
<h3>How to determine the exponential model?</h3>
From the complete question,we have the following parameters:
- Initial value, a = 3
- Growth rate, r = 0.2
The exponential model is then calculated as:
f(x) = a * (1 + r)^x
Substitute known values
f(x) = 3 * (1 + 0.2)^x
Evaluate the sum
f(x) = 3 * (1.2)^x
Hence, the exponential model of the data is f(x) = 3 * (1.2)^x
Read more about exponential models at:
brainly.com/question/7296382
Answer:
Hypotenuse = 14.1421 inches (rounded off to four decimal values)
Step-by-step explanation:
The legs of an isosceles triangle both measure 10 inches
Since the triangle is a right triangle,
We apply the Pythagorean Theorem to find the height of the hypotenuse
a² + b² = c²
a = 10 inches, b = 10 inches and (c) is the hypotenuse whose value we don't know.
So; 10² + 10² = c²
c² = 100 + 100
c² = 200
c = 
= 14.1421356237 inches
The hypotenuse is 14.1421 inches (answer rounded off to four decimal values)
Combine like terms. 6y + 8y is 14y. 5z - 3z is 2z. so the answer is 14y + 2z.
