Answer:
The correct option is 2.
Step-by-step explanation:
The given inequalities are
.... (1)
.... (2)
Solve each inequality.
Subtract 10 from each side of inequality (1).
Divide both the sides by 2.
The value of x is more than 20.
Subtract 10 from each side of inequality (2).
Divide both the sides by 2.
The value of x is less than 50.
Since x > 20 and x < 50, therefore Malcolm needs to consume more than 20 grams of carbohydrates, but less than 50 grams of carbohydrates.
Hence the correct option is 2.
Answer:
6/7
Step-by-step explanation:
2/3X9/7
simplify 9 by 3
which equals:
2/1X3/7
=6/7
The standard form of a quadratic equation is
, while the vertex form is:
, where (h, k) is the vertex of the parabola.
What we want is to write
as
First, we note that all the three terms have a factor of 3, so we factorize it and write:
.
Second, we notice that
are the terms produced by
, without the 9. So we can write:
, and substituting in
we have:
![\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11]](https://tex.z-dn.net/?f=%5Cdisplaystyle%7B%20y%3D3%28x%5E2-6x-2%29%3D3%5B%28x-3%29%5E2-9-2%5D%3D3%5B%28x-3%29%5E2-11%5D)
.
Finally, distributing 3 over the two terms in the brackets we have:
![y=3[x-3]^2-33](https://tex.z-dn.net/?f=y%3D3%5Bx-3%5D%5E2-33)
.
Answer:
Answer:
The answer to your question is a) y - 2 = -5(x - 3)
b) y = -5x + 17
Step-by-step explanation:
Data
A (1, 12)
B (3, 2)
Process
1.- Find the slope
Formula
Substitution
2.- Find the equation in point slope form
Equation
y - y1 = m(x - x1)
Substitution and equation
y - 2 = -5(x - 3)
3.- Find the slope-intercept form
Expand the point slope form
y - 2 = -5x + 15
Simplify
y = -5x + 15 + 2
Equation
y = -5x + 17
Answer
259000000
Step-by-step explanation:
