Answer:
Check the text of the exercise, there is something wrong
Step-by-step explanation:
y=10x-4
y=-2x+10
These are two stright lines, they meet in one point only, P(7/6, 23/3)
y + 13 = 5(x + 2)
y – 2 = 5(x – 13)
y + 2 = 5(x + 13)
Answer:
its b :)
Step-by-step explanation:
i aint ever seen two pretty best friends
Answer:
what are the phrases to choose from?
Step-by-step explanation:
The earnings of Tom is $510.
A word problem is a verbal description of a problem situation. It consists of few sentences describing a 'real-life' scenario where a problem needs to be solved by way of a mathematical calculation.
For the given situation,
Let the earnings of Jan be x and
Let the earnings of Tom be y.
Jan earned $150 less than twice Tom's earnings,
⇒ ------ (1)
Together Jan and Tom earned $1380,
⇒ ------- (2)
Now substitute equation 1 in 2,
⇒
⇒
⇒
⇒
⇒
Hence we can conclude that the earnings of Tom is $510.
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b. minimum (1,8)
c. maximum (-1,3)
d. minimum (-1,3)
Answer : d. minimum (-1,3)
The vertex form of quadratic function is
, where (h,k) is the vertex
To get vertex form we apply completing the square method
To apply completing the square method , there should be only x^2
So we factor out 5 from from first two terms
Now we take the number before x (coefficient of x) and divide by 2
=1
Now square it
Add and subtract 1 inside the parenthesis
Now we take out -1 by multiplying 5
Now we factor x^2 +2x+1 as (x+1)(x+1)
h=-1 and k=3
So vertex is (-1,3)
When the value of 'a' is negative , then it is a maximum
When the value of 'a' is positive , then it is a minimum
is in the form of
The value of a is 5
5 is positive so it is a minimum
f(x) is minimum at point (-1,3)