There can only be two definite x-intercepts, so your goal it to find 2 numbers of x that, when plugged into the equation, give you the answer of 0. 1 is the first x-intercept(4-24+20 equals 0). The second one is 5 (100-120+20 equals 0). So the average is 3, so the axis of symmetry is 3 since 5+1=6, and 6/2=3
Honestly, there is an easier way to find the axis of symmetry. the equation would be -b/2a, where as b is the coefficient in the second part of the equation, while a is the first coefficient in the equation. -(-24) is 24, and 4*2=8, so 24/8=3
I hope I actually answered this the way you wanted. You asked for an equation, but I just answered the axis of symmetry with very simple equation initially and another equation
Answer:
5 tokens
Step-by-step explanation:
<u><em>She spent 1 out of every 4 tokens,</em></u> meaning there are a couple of sets of 4 that we don't know many they are yet that she kept taking from every set 1 token, so if we do,
(Her total tokens) 20 ÷ 4 = 5.
This means that there's 5 sets, then we take 1 from every set so 1 × 5 = 5, that's it
I don't know if that was quite clear tho you can imagine it in a more virtual than mathematical way if you like,
Now Imagine you have 20 tokens in your hand, and you divide them into 5 sets, each set is a set of 4, you keep 3 in your hand then put 1 on a table, then you do this 5 times you'll end up with 5 tokens on the table and 15 in your hand.
<em>You can try that yourself if you want it to be more clear.</em>
Take 20 small pieces of paper, sticky notes or coins whatever you like, then divide them into sets of 4, then lastly take only 1 from each set (and by the way you'll notice that dividing each set into a set of 4 will make you automatically end up with 5 sets) now count all the 1's you collected from each set
they should be 5.
Answer:
6
Step-by-step explanation:
Given,
...(i)
Differentiating w.r. to x.
From equation (1)
Now, at the point (1,3)
Answer:
Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is
2x - y = 3
Step-by-step explanation:
Given:
Slope = 2 = m ( say )
Let,
point A( x₁ , y₁) ≡ ( -2 , -7 )
point B( x₂ , y₂) ≡ ( 5 , 7 )
To Find:
Equation of Line AB =?
Solution:
Equation of a line passing through Two points A( x₁ , y₁) and B( x₂ , y₂)is given by the formula,
Or
Equation of a line passing through a points A( x₁ , y₁) and i having slope m is given by the formula,
Substituting the given values in a above equation we get
Therefore the equation of the line through ( -2 , -7 ) and ( 5 , 7 ) is
2x - y = 3
Answer:
a
b
Step-by-step explanation:
From the question we are told that
The data is 87 91 86 82 72 91 60 77 80 79 83 96
Generally the point estimate for the mean is mathematically represented as
=> 
=>
Generally the point estimate for the standard deviation is mathematically represented as
=> 
=>
