For t²+6t-20=0 (to find the vertex, or rather the x intercepts), we can add 20 to both sides to get t²+6t=20. Since 6/2=3, we can square 3 to get 9. Adding 9 to both sides, we get t²+6t+9=20+9=29=(t+3)². Finding the square root of both sides, we get t+3=+-√(29). Subtracting 3 from both sides, we get t=+-√(29)-3=either √(29)-3 or -√(29)-3. We have -√(29)-3 due to that t can either be negative or positive. Finding the average of the two numbers, we have
(√(29)-3)+(-√(29)-3./2=-6/2=-3, which is our t value of our vertex and since it's t² and based around t, that is our axis of symmetry. To find the y value of the vertex, we simply plug -3 in for t to get 9+(6*-3)-20=9-18-20=-29, making our vertex (-3, -29)
The rational expression that results into x-4/2(x+4) is<em> x²-16/2x+8 * x+4/x²+8x+16</em>
<h3>Multiplying rational expressions</h3>
Rational expressions are written in the form a/b where a and b are integers.
According to the question, we need to determine the expression that is equal to x-4/2(x+4)
From the fourth option;
x²-16/2x+8 * x+4/x²+8x+16
Factorize the quadratic part to have;
x²-16/2x+8 * x²+8x+16/x+4
(x+4)(x-4)/2(x+4) * x+4/(x+4)^2
Cancel out the common expression to have;
x-4 * 1/2(x+4)
x-4/2(x+4)
Hence the rational expression that results into x-4/2(x+4) is<em> x²-16/2x+8 * x+4/x²+8x+16</em>
Learn more rational expression here: brainly.com/question/25292194
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1. -1
2. 7
3.-8
i hope these are the answers
Answer:
two (n = 4, and n = -1)
Step-by-step explanation:
Let's solve it as follows:
First, we can divide out the common factor of 3 from each side, to get:
n(2n-8) = 8 -2n
Next, we expand, and move all the terms over to the right hand side (so that we have 0 on the LHS - as this is how we will want to solve the quadratic equation):
2n^2 - 8n - 8 +2n = 0
2n^2 - 6n - 8 = 0.
We also see we can further simplify by dividing out the factor of 2, to get:
n^2 -3n -4. = 0
Next, as this is a quadratic, the usual next step is to factorise, to get:
(n-4)(n+1) = 0
So we see that n = 4 and n = -1 are the two solutions.
Answer:I think its 0.7
Step-by-step explanation:
hope that helps but I am not to sure :((
2/7x + 1/10 = 1 - x
is 0.7
