Answer:
Step-by-step explanation:
probability of choosing a boy = 12 / 28 = 3 / 7
in % = 3 / 7 x 100 = 42,86%
probability of choosing an a student = (4 + 10) / 28 = 14 / 28 = 1 / 2
in % = 1 / 2 x 100 = 50%
The first equation is:
d = 2.5 t + 2.2
For the parallel line :
m = 2.5.
It is passing through: t = 0, d = 1
d = m t + b
1 = 2.5 * 0 + b
b = 1
Answer:
A ) d = 2.5 t + 1
Answer: 25
Step-by-step explanation:
Answer:
see explanation
Step-by-step explanation:
The vertex form of f(x) is
f(x) = (x - h)² + k
where (h, k) are the coordinates of the vertex
To obtain this form use the method of completing the square
add/subtract ( half the coefficient of the x- term )² to x² + 14x
f(x) = x² + 2(7)x + 49 - 49 + 36
= (x + 7)² - 13
The minimum value of f(x) is the y- coordinate of the vertex
vertex = (- 7, - 13), that is minimum value = - 13
y < –12
Solution:
Step 1: Given inequality is y + 15 < 3.
To find the solution to the inequality.
Step 2: Subtract –15 on both sides to equal the expression.
⇒ y + 15 –15 < 3 –15
Step 2: Using addition identity property, any number adding with zero gives the number itself.
⇒ y + 0 < –12
⇒ y < –12
Hence the solution to the inequality is y < –12.