Answer:
Step-by-step explanation:
The standard form of a quadratic equation is 
The vertex form of a quadratic equation is 
The vertex of a quadratic is (h,k) which is the maximum or minimum of a quadratic equation. To find the vertex of a quadratic, you can either graph the function and find the vertex, or you can find it algebraically.
To find the h-value of the vertex, you use the following equation:
In this case, our quadratic equation is 
. Our a-value is 1, our b-value is -6, and our c-value is -16. We will only be using the a and b values. To find the h-value, we will plug in these values into the equation shown below.
⇒ 
Now, that we found our h-value, we need to find our k-value. To find the k-value, you plug in the h-value we found into the given quadratic equation which in this case is
⇒ 
⇒ 
⇒ 
This y-value that we just found is our k-value.
Next, we are going to set up our equation in vertex form. As a reminder, vertex form is:
a: 1
h: 3
k: -25
Hope this helps!
5
Step-by-step explanation:
your answer is 5 the greatest common factor is 5
10= 5
25=5
15= 5
Answer:
y = 0.5x + 1
Step-by-step explanation:
4 up, 8 right
rise over run
slope = 4/8 or 1/2
y-int = 1
Answer:
3:the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 10.
Step-by-step explanation:
This is because in decimal places, we have what is called place value. In a decimal number after the decimal point, each number place is divided by an increasing power of 10. So, for example, if we have a decimal number 0.82, the place value of the 8 is 8/10 while that of the 2 is 2/10² = 2/100.
So, in the given numbers, 0.04 has a place value of 4/100 and 0.4 has a place value of 4/10. So, we can see that 4/100 = 4/10 ÷ 10 = 4/10 × 1/10.
So, the value of the 4 in 0.04 is the value of the 4 in 0.4 divided by 10.
Answer:
Step-by-step explanation:
