1)
x^2 - 49 = 0
factor
(x+7)(x-7) = 0
x+7 = 0; x = -7
x -7 = 0; x = 7
2)x^2 - 18x + 81 = 0
factor
(x- 9)(x - 9) = 0
x - 9=0; x = 9
3)
x^2 + 3x = 40
x^2+3x - 40 = 0
factor
(x + 8)(x - 5) = 0
x+8 = 0; x = -8
x -5 = 0; x = 5
4)
3x^2 - 75 = 0
3(x^2 - 25) = 0
3(x+5)(x-5) = 0
x + 5 = 0; x = -5
x - 5 = 0; x = 5
5)
2x^2 - 15 = 7x
2x^2 - 7x - 15 = 0
(2x + 3)(x - 5) = 0
2x+3 = 0; x = -3/2
x - 5= 0; x = 5
6)
4x^2 + 16x - 48 = 0
4(x^2 + 4x - 12) = 0
4(x + 6)(x - 2) = 0
x + 6 = 0; x = -6
x - 2 = 0 ; x = 2
The probability that a student participates in both sports and music is 108/1376
<u>Explanation:</u>
Let x be the number of students participating in both sports and music
According to the question:
P(A or B) = P(A) + P(B) - P(A and B)
P(sports or music) = P(sports) + P(music) - P(sports and music)
P(sports and music) =
Therefore, the probability that a student participates in both sports and music is 108/1376
Answer:
density of given object is 4 g/m L
Step-by-step explanation:
<u>Density of given object</u>
Density is defined as mass per unit volume
the density of given object given mass and volume is
Given mass is 14 grams and Volume is 3.5 m L
Density =
density of given object is 4 g/m L
Answer:
im sure its c
Step-by-step explanation:
:)
Answer: $2.55
Step-by-step explanation:
He bought the second shirt for half off the first shirt's price. He therefore bought it at:
= 19.99/2
= $10.00
Total paid for both shirts is therefore:
= 19.99 + 10
= $29.99
Sales tax is 8.5% so he paid:
= 29.99 * 8.5%
= 2.54915
= $2.55