Answer:
<em>12 m 2600 mm</em>
Step-by-step explanation:
3 m × 4 = 12 m
650 mm × 4 = 2600 mm
Hope this helps!
Answer:
Roots: 3.746 and -13.746
Vertex: (-5, 153)
Step-by-step explanation:
- The roots of the quadratic equation y = ax² + bx + c, are the values of x at y = 0
- Its vertex is (h, k), where, h =
, and k is the value of y at x = h
Let us use these facts to solve the question
∵ y = -2x² - 20x + 103
→ Compare it by the form of the equation above
∴ a = -2, b = -20, and c = 103
→ To find its roots equate y by 0
∵ 0 = -2x² - 20x + 103
→ Use your calculator to find the values of x
∴ x = 3.746427842 and x = -13.74642784
→ Round them to 3 decimal places
∴ x = 3.746 and x = -13.746
∴ Roots: 3.746 and -13.746
→ To find its vertex use the rule of h above
∵ a = -2 and b = -20
∵ h =
=
∴ h = -5
→ To find k substitute y by k and x by -10 in the equation
∵ k = -2(-5)² - 20(-5) + 103
∴ k = -2(25) + 100 + 103
∴ k = -50 + 100 + 103
∴ k = 153
∴ The vertex of the quadratic is (-5, 153)
∴ Vertex: (-5, 153)
W+1/9 = 5
W = 5-1/9
= [(5*9)-1]/9
= [45-1]/9
= 44/9
Answer:
Step-by-step explanation:
B
Working out the different pay rates earned by Ike Phillips :
- Time and half pay rate = $17.055
- Double pay rate = $22.74
- Time and half earning = $114.2685
- Double rate earning = $77.316
- Gross earning = $646.3845
Let :
Regular rate = $11.37
Total earning for the week = $454.80
Double pay hours = 3.4
Time and half pay hours = 6.7
- Time and half pay rate = 1.5 × regular pay rate = 1.5 × 11.37 = $17.055
- Double pay rate = 2 × regular pay rate = 2 × 11.37 = $22.74
- Time and half earning = rate × time = $17.055 × 6.7 = $114.2685
- Double rate earning = rate × time = $22.74 × 3.4 = $77.316
- Gross earning = (regular + time and half + double earning) = $(454.80+114.2685+77.316) = $646.3845
Therefore, Ike's gross earning for the week is $646.3845
Learn more : brainly.com/question/24635246