Answer:
M = - 19/2 or in decimal form - 9.5
Step-by-step explanation:
1. Subtract
4 from both sides.
M/3 = 5/6 - 4
2. Simplify
5/6
− 4 to −19/6
3. Multiply both sides by
3.
M = - 19/6 x 3
4. Simplify 19/6 × 3 to 57/6
M = -57/6
5. Simplify 57/6 to 19/2
M = - 19/2
7 months because after the 100 dollars u add u 25 7 times to get 275
Answer:
-4
Step-by-step explanation:
B is 4 units to the left of the origin.
Answer:
Option A. Divide 382 by 1027.
Step-by-step explanation:
A survey was done about the people who preferred running indoors and outdoors. Then a two way table was prepared.
Amir is making a relative frequency table.
As we know relative frequency table is prepared by the dividing number of frequency by the total number of students taken in the sample.
Now he will take the data from the given two way table.
People age 30 years and younger were 382 running outdoors and 105 running indoor.
So people having age 30 and below are 382 + 105 = 487
Similarly people Over 30 years old running outdoor and indoor = 299 + 241 = 541
Now Total number of people taken in the sample = 487 + 541 = 1027
So relative frequency for the people of age 30 and younger will be
382/1027 for outdoor and 105/1027 for indoor.
Therefore answer will be Option A. Divide by 382/1027.
The standard form of a quadratic equation is: ax^2 + bx + c = 0
a = 1 ; b = -2 ; c = -8
To find the zeros, you put in x=0 which gives (0,-8) and use the quadratic formula to find the other zeros; f(x) = 0
Quadratic formula:
x = (-b+/-√(b^2-4ac))/2a
The x-value for the vertex is -b/2a
x = 1
put this in for x and solve for the f(x)
1 - 2 - 8 = -9
vertex: (1, -9)
The vertex form of a quadratic equation: f(x) = a(x-h)^2 + k
where (h, k) is the vertex.
If you don't know the vertex, you would need to factor it into this form. Look at the center term bx, what you could be added to the equation to make a perfect square.
f(x) = (x^2 - 2x + 1) - 9
By splitting the -8 into 1 - 9 we've created a perfect square (x-1)^2
f(x) = (x-1)^2 - 9
