Answer:
y-intercept: 10
concavity: function opens up
min/max: min
Step-by-step explanation:
1.) The definition of a y-intercept is what the resulting value of a function is when x is equal to 0.
Therefore, if the function's equation is given, to find y-intercept simply plug in 0 for the x-values:

y intercept ( f(0) )= 10
2.) In order to find concavity (whether a function opens up or down) of a quadratic function, you can simply find the sign associated with the x^2 value. Since 2x^2 is positive, the concavity is positive. This is basically possible, since it is identifying any reflections affecting the y-values / horizontal reflections.
3.) In order to find whether a quadratic function has a maximum or minimum, you can use the concavity of the function. The idea is that if the function opens downwards, the vertex would be at the very top, resulting in a maximum. If a function was open upwards, the vertex would be at the very bottom, meaning there is a minimum. Like the concavity, if the value associated with x^2 is positive, there is a minimum. If it is negative, there is a maximum. Since 2x^2 is positive, the function has a minimum.
The slope of a line is the difference between the x-line and the y-line. Rise/run
Answer:
Step-by-step explanation:
In the first triangle, using Pythagorean's theorem, x^2+3^2=5^2, x = 4
In the second triangle, using Pythagorean's theorem, x^2+7^2=24^2, x = 25
In the third triangle, using Pythagorean's theorem, 8^2+15^2=x^2, x = 17
In the fourth triangle, using Pythagorean's theorem, x^2+8^2=10^2, x = 6
In the fifth triangle, using Pythagorean's theorem, 5^2+12^2=x^2, x = 13
Answer:
see below
Step-by-step explanation:
children : adults : total
2 5 2+5 =7
We have 280 people
Divide this by 7
280/7 = 40
Multiply each number by 40
children : adults : total
2*40 5*40 7*40
80 200 280
There are 80 children and 200 adults