I believe the answer is N+14=72
Answer:
pen = $1.20, pencil = $0.50
Step-by-step explanation:
let x = pen
let y = pencil
create system of equations:
3x + 6y = 6.60 [can be simplified to be x + 2y = 2.20]
5x + 8y = 10.00
substitution method:
x = 2.2 - 2y
5(2.2 - 2y) + 8y = 10
11 - 10y + 8y = 10
-2y = -1
y = 1/2
solve for 'x':
3x + 6(1/2) = 6.6
3x + 3 = 6.6
3x = 3.6
x = 1.2
Answer:
i don't know
Step-by-step explanation:
Mark on the grid all the points that fulfill all three inequalities.
He starts with 10, +5 after every week
week 2=10+5
week 3=10+5*2
...
week 25 =10+5*24
f(x)=10+5(x-1)
so during the 25th week=10+5*24=10+120=130
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>