Answer:
<h3>Question 1</h3>
<u>Function given:</u>
<u>In the vertex form:</u>
- y = x² + 4x + 4 - 8 = (x + 2)² - 8
Axis of symmetry is the vertical line passing through the vertex.
<u>The vertex is</u>
<u>Axis of symmetry is </u>
<u>y- intercept is </u>
- x = 0 ⇒ y = -4, so the point (0, -4)
<u>Two other points are</u>
- x = 1 ⇒ y = (1 + 2)² - 8 = 9 - 8 = 1, the point is (1, 1)
- x = -1 ⇒ y = (-1 + 2)² - 8 = 1 - 8 = -7, the point is (-1, -7)
<em>See the graph with all the points plotted</em>
<h3>Question 2</h3>
<u>Function given:</u>
<u>In standard form:</u>
<u>In vertex form:</u>
- y = - 2x² + 4x - 2 + 8 = -2(x - 1)² + 8
<u>The vertex:</u>
<u>Axis of symmetry is </u>
<u>y - intercept </u>
- x = 0 ⇒ y = -2(-1)² + 8 = -2 + 8 = 6, the point is (0, 6)
<u>Two other pints:</u>
- x = -1 ⇒ y = -2(-1 - 1)² + 8 = -8 + 8 = 0, the point is (-1, 0)
- x = 2 ⇒ y = -2(2 - 1)² + 8 = -2 + 8 = 6, the point is (2, 6)
<em>The graph is attached with the points plotted.</em>
Probability of getting an even number:
Total Outcomes: 6
Desired Outcomes: 2, 4, 6; 3 total
3/6 or 1/2 1/2=.5
Probability of a Club:
Total Outcomes: 52
Desired Outcomes: Clubs; 13 total
13/52 or 1/4 1/4=.25
Probability of event A * Probability of event B
.5 * .25=.125
Probability of rolling an even number and pulling a club from a deck of cards is 0.125 or 1/8
Answer:
3
Step-by-step explanation:
Answer:
B
Step-by-step explanation: If you put 7 2/5 - 5/8 in a calculator it comes to equal 6.775. Since the answer is asking for an estimate then the answer would be 7.
Answer:
Idk what the answer choices is if there is any
Scientific notation is 8.4 * 10^2
expanded form 840