Answer:
Step-by-step explanation:
You have 3 unknowns: a, b, and c. It's our job to find them algebraically. I'm going to start with the point where x = 0 and y = 7. You'll see why in a minute. Filling in the standard form of a quadratic
using (0, 7):
gives you that c = 7. We will use that value now when we write the next 2 equations. Now the point (-2, 19):
and
so
12 = 4a - 2b
Now for the next point (-1, 12):
and
so
5 = a - b
Now we have a system of equations (the 2 bold font equations) that we will solve by elimination:
12 = 4a - 2b
5 = a - b
Multiply the bottom equation by -4 to get a new system:
12 = 4a - 2b
-20 = -4a + 4b
Add those together to get rid of the a terms and end up with
-8 = 2b so
b = -4
Now we can sub in -4 for b to solve for a. I'm using the second bold type equation to do this:
5 = a - (-4) and
5 = a + 4 so
a = 1 and the equation for the quadratic function is
Answer:
x>5
Step-by-step explanation:
Step 1: Simplify both sides of the inequality.
4x−15>−2x+15
Step 2: Add 2x to both sides.
4x−15+2x>−2x+15+2x
6x−15>15
Step 3: Add 15 to both sides.
6x−15+15>15+15
6x>30
Step 4: Divide both sides by 6.
Answer:
The probability that a student who is involved in a sports team also participated in the prom dance = 0.1344
Step-by-step explanation:
56% of the students are involved in a sport team
56% = 0.56
According to the question, it is stated that 24% of the students at the school that are involved in a sports team also participated in the prom dance.
24% = 0.24
This means that we are going to find 24% of the original 56%, since 24% of them also participated in the prom dance.
The probability that a student who is involved in a sports team also participated in the prom dance = 0.24 * 0.56
The probability that a student who is involved in a sports team also participated in the prom dance = 0.1344
Answer:
What eventually led to conflicts between settlers and American Indians in Virginia?
farmers destroying the soil with tobacco crops
farmers moving onto land close to the coast
indentured servants encroaching on settlers’ land
colonial traders charging too much for tobacco
Step-by-step explanation:
vWhat eventually led to conflicts between settlers and American Indians in Virginia?
farmers destroying the soil with tobacco crops
farmers moving onto land close to the coast
indentured servants encroaching on settlers’ land
colonial traders charging too much for tobacco
The midpoint is C, (-0.5,0.5)
Find the middle between the x and y coordinates and that is the midpoint
