Answer:
<u>The final answer is 35n/17r</u>
Step-by-step explanation:
Let's simplify the expression, this way:
1. Start with the coefficients:
(10 * 42)/(6 * 34)
We cancel 6 in the denominator and change 42 by 7. Now we have:
(10 * 7)/34
We now divide by 2 both in the numerator and the denominator. Now we have:
(5 * 7)/17.
The remaining numbers are prime numbers and it's not possible to continue simplifying, so we got:
35/17
2. Variable r:
We have r⁴/r⁵ = r ⁴⁻⁵ = r⁻¹ = 1/r¹ = 1/r
3. Variable n:
We have n⁴/n³ = n ⁴⁻³ = n¹/1 = n
4. Adding the pieces:
We put coefficients and variables together: 35/17 * 1/r * n
<u>The final answer is 35n/17r</u>
Y=x3+5 is the linear function
F(x) +G(x) +H(x) = (2x -1) +(3x +2) +(x²)
... = x² +x(2+3) +(-1+2) . . . . . group like terms
... = x² +5x +1 . . . . . . . . . . . . simplify
To find the vertex of a quadratic function, you need to 'complete the square';
Completing the square gives a quadratic in another form;
For quadratics that have an x² coefficient of 1 as is the case, it is a simple matter to complete the square:
For the quadratic x² + bx + c
Simply, put x added to half the coefficient of the x term (b/2) in a bracket and square the bracket;
Then add the constant (c) and the square of the half the coefficient of the x term (b/2), so:
(x + d)² + e, where d is a (rational) number to be identified;
d = b/2
e = d² + c
So, for f(x) = x² + 0x + 3:
Then the completed-the-square form is: f(x) = (x + 0)² + 3
As it happens, this quadratic function has a common normal form and completed-the-square form because the x-coefficient is 0.
The vertex coordinates are, according to the general format given above:
(-d, e).
So, looking at completed-the-square form for the function in question, we can tell the vertex is at the coordinates: (0, 3)
Quadratic functions always have symmetry about the vertical line with the x-coordinate of the vertex;
This makes sense if you think about how the graph looks (u-shaped);
Therefore for our function, the vertex is:
x = 0 (a vertical line with the x-coordinate of the vertex).
Answe: She also received a coupon for 15% off the sale price. ... in price, in percentage terms, between the initial price of the shoes and the sale price?. The first way is to find the amount of the discount and subtract from the original price
Step-by-step explanation:
