Answer:
<em>(1, 7) </em>
Step-by-step explanation:
y = 3x + 4
y = 6x + 1
6x + 1 = 3x + 4 ⇒ x = 1
y = 3(1) + 4 = 7
<em>(1, 7)</em>
The x-intercept of a function is the value of x when y is 0. So let's set sin(x) equal to zero. When does sin(x) equal zero? Based on the unit circle, you know that sin(0) is 0, so that is one x-intercept. You also know that sin(pi) is 0. Basically, every time x, starting from zero, increases or decreases by a multiple of pi, sin(x) is still zero. The answer can be represented by x=n*pi; where n=any integer.
Answer:
1/2 ; 1/4
Step-by-step explanation:
Number of cards in a deck = 52
Number of red cards = 26
Number of spades = 13
Probability of event A :
P(A) = required outcome / Total possible outcomes
P( red card) = number of red cards / total cards in deck
P(red card) = 26 / 52 = 1/2
P(spade) = number of spades / total cards in deck
P(red card) = 13 / 52 = 1 / 4
Answer:
Step-by-step explanation:
Use proportions to solve.
Corresponding sides have same ratio.
<u>Question 1</u>
- (6x + 3)/17 = (8x - 1)/21
- 21(6x + 3) = 17(8x - 1)
- 126x + 63 = 136x - 17
- 10x = 80
- x = 8
<u>Question 2</u>
- (x + 8)/21 = 32/28
- x + 8 = 21*8/7
- x + 8 = 24
- x = 24 - 8
- x = 16
Answer:
The pretzels are 20% of the total weight of the snack.
Step-by-step explanation:
Total weight 12 + 20 + 8 = 40
So 8 / 40 = 20%
