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rjkz [21]
3 years ago
12

Write y=2x^2+8x+5 in vertex form. Please

Mathematics
1 answer:
guapka [62]3 years ago
6 0
y=2x^2+8x+5\\
y=2(x^2+4x+\frac{5}{2})\\
y=2(x^2+4x+4-\frac{3}{2})\\
y=2((x+2)^2-\frac{3}{2})\\
y=2(x+2)^2-3
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Sumeet is building two types of birdhouses. The more traditional type takes 4 pieces of wood and 2 hours to build. The more lavi
mina [271]

Answer:

The no. of traditional type birdhouses are 4 and the no. of lavish type birdhouses are 3.

Step-by-step explanation:

Let x be the no. of traditional type birdhouses

The more traditional type takes 4 pieces of wood and 2 hours to build.

One house requires wood = 4

x houses requires wood = 4x

One house requires time = 2 hours

x houses requires time = 2x

Let y be the no. of lavish type birdhouses

The more lavish type takes 10 pieces of wood and 7 hours to build.

One house requires wood = 10

y houses requires wood = 10y

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y houses requires time = 7y

Now we are given that he has a total of 46 pieces of wood and 29 hours to work,

So, equations becomes : 4x+10y = 46\\2x+7y=29

Plot these equations on graph

4x+10y = 46 ---Blue line

2x+7y=29  ---Green line

Refer the attached figure

The intersection point provides the solution

Intersection point : (4,3)

So, x = 4 and y = 3

Hence the no. of traditional type birdhouses are 4 and the no. of lavish type birdhouses are 3.

8 0
3 years ago
The standard error of the estimate measures the scatter or dispersion of the observed values around a __________________________
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True mean/population mean

Step-by-step explanation:

The standard error in this case gives an estimate on how far the values observed during the course of the experiment ate likely to be from the true mean/population mean.

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