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Alexxandr [17]
3 years ago
5

Y=x^2+14x+40 in vertex form by completing the square

Mathematics
1 answer:
grandymaker [24]3 years ago
4 0
Vertex form of a quadratic is:

y=a(x-h)^2+k  (where (h,k) is the vertex of the quadratic)

y=x^2+14x+40

y-40=x^2+14x

y-40+49=x^2+14x+49

y+9=(x+7)^2

y=(x+7)^2-9
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An auto transport truck holds 12 cars. A car dealer plans to bring in 1,006 new cars in June and July. If an auto transport truc
marin [14]
To find the number of full trucks we can do 1006 / 12. This gives us 83.8333. That is, 83 full trucks and a bit left over.
The bit left over is the answer to the second part, the last truck. 0.8333 is the same as 10/12, so the last truck will have 10 cars in it. If we didn’t know that fraction, we could find the answer by saying 12x83 = 996. 1006 - 996 = 10.

So the final answer is: 83 full trucks and 10 cars in the last truck.
3 0
3 years ago
Determine the slope-intercept form of the equation of the line parallel to y = x + 11 that passes through the point (–6, 2). y =
Vika [28.1K]

Answer:

y = x+12

Step-by-step explanation:

Parallel => <u><em>This means it has the same slope as this one.</em></u>

Slope = m = 1

Now,

Point = (x,y) = (-6,2)

So, x = -6, y = 2

<u><em>Putting this in slope intercept form to get b</em></u>

y = mx+b

=> 2 = (1)(-6) + b

=> b = 2+6

=> b = 8

<u><em>Now putting m and b in the slope-intercept form to get the required equation:</em></u>

=> y = mx+b

=> y = x+12

6 0
3 years ago
Estimate it as a whole number
denis-greek [22]

Answer:

2

Step-by-step explanation:

First, you do the subtraction 120-21.4 which is 98.7. So since you know its x^7, the number isn't going to be big. By guessing and checking, we start with 2. 2^7 is 128. We know that 1^7 would just be 1, so the closest whole number would be two.

7 0
3 years ago
What is 7/81 + 7/9 as a proper fraction
Lorico [155]
70/81 is 7/81+7/9 as a proper fraction
3 0
3 years ago
When 18 gallons of water are pumped into an empty tank, the tank is filled to three fourths of its capacity. How many gallons of
andriy [413]
3/4 Of X(Capacity) = 18 Gallons
X = 18*4/3
= 6*4
= 24 Gallons

Capacity of Tank = 24Gallons
4 0
3 years ago
Read 2 more answers
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