Use substitution and substitute y into the other equation. One of the equations already gives you y in terms of x, so use that and substitute it into the other equation. y = 3x - 4
Plug into the other equation: -3y = -9x + 12
-3(3x-4) = -9x + 12
-9x + 12 = -9x + 12
This is an identity. So that means that any value of x makes this equation true. So B.
Answer:
f(x) = (x - (-5))^2 + (-18)
Step-by-step explanation:
Given:
f(x) = x^2 + 10x + 7
Rewrite f(x) in vertex form
Solution:
f(x) = ax^2 + bx + c is a quadratic function.
The vertex form of f(x) is a(x - h)^2 + k, where (h, k) is the vertex.
=> f(x) = x^2 + 10x + 7
= x^2 + 10x + 25 - 18
= (x + 5)^ - 18
= (x - (-5))^2 + (-18)
=> f(x) can be rewritten in form of a(x - h)^2 + k, where (h, k) is the vertex, with a = 1, h = -5, k = -18
Answer:
3.25 - 1.75 = 1.50 pounds of flour
Step-by-step explanation:
Answer: This is an example of Centration.
Centration refers to the tendency to focus on only one aspect of a situation, problem or object. For example: a child may complain that there is little ice cream left in a big bowl. The child will be satisfied if the ice cream is transferred to a little bowl, even though nothing is added, because he only considers how full the bowl appears to be.
A sailboat travels 3 miles in 1.5 hours. How far does it travel in 2 hours.
= 3 miles / 1.5 hours
= 2 miles per hour
= (2 miles) * (2 hours)
= 4 miles in 2 hours.
So, in conclusion, if a sailboat travels 3 miles in 1.5 hours, it travels 4 miles in 2 hours.
