Answer:
3) (2,-9)
4) (0,-5)
5) (1,-8)
Step-by-step explanation:
3)
The vertex will occur between you x-intercepts.
You already found that happens at x=2.
To find the corresponding y-coordinate, replace x in
f(x)=(x+1)(x-5) with 2:
f(2)=(2+1)(2-5)
f(2)=(3)(-3)
f(2)=-9
So the vertex is (2,-9).
4)
The y-intercept is when x=0.
So in f(x)=(x+1)(x-5) replace x with 0:
f(0)=(0+1)(0-5)
f(0)=(1)(-5)
f(0)=-5
So the y-intercept is (0,-5).
5)
To find another point just plug in anything besides any x already used.
We preferably want to use a value of x that will keep us on their grid however far up,down,left, or right their grid goes out. So I'm going to choose something close to the vertex which is at x=2. Let's go with x=1.
So replace x in f(x)=(x+1)(x-5) with x=1:
f(1)=(1+1)(1-5)
f(1)=(2)(-4)
f(1)=-8
So another point to graph is (1,-8).
2(6x+20) +2(8x-16)=180
12x+16x+40-32=180
28x+8=180
X=180-8/28=6
I think so my calculation may be wrong )
Answer:
brother has $100
Step-by-step explanation:
Pam and her brother both open savings accounts. each begin with a balance of $0. For every $2 is that Pam saves in her account her brother saves $5 in his account
P:brother =2:5
when P=40 what is brother?
2/5=40/b
times 5b both sides
2b=200
divide 2
b=100
brother has $100
Answer:
Below.
Step-by-step explanation:
Letter P is drawn - Impossible because there is no paper with P on it.
Letter drawn is a consonant - Likely because there are 6 out of 8 letters which are consonants.
Letter drawn is a vowel - Unlikely because there are only 2 vowels out of 8 letters.
Letter drawn is one of the first ten letters in the alphabet - Equally likely as there is 4 of these out of a total of 8.
Letter is L - Unlikely as there is only 1 piece of paper with L on it.
The paper draw has one letter on it - Certain as there is a letter on all the pieces of paper.
Answer: -1/3
hope this helps
