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zvonat [6]
3 years ago
11

- The functions y = 2x + 4 and y = 2x + 1 are graphed

Mathematics
1 answer:
denpristay [2]3 years ago
8 0
You can they'll never intersect because both of their slopes are 2
*linear functions with the same slope are always parallel*
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a carpenter has been asked to build an open box with a sqaure base. the sides of the box will cost $3 per m^2 and the base will
slamgirl [31]
<h2>Dimension of box is 2 m x 2 m x 1.33 m</h2>

Step-by-step explanation:

Let a be base side and h be the height.

Volume of box, V = a²h

The sides of the box will cost $3 per m² and the base will cost $4 per m². Cost for making is $48.

That is

                 4a² + 3 x 4 x a x h = 48

                 4a² + 12 a x h = 48

                 a² + 3 ah = 12  

                 h=\frac{12-a^2}{3a}

So volume is

                    V=a^2\times \frac{12-a^2}{3a}=4a-\frac{a^3}{3}

At maximum volume we have derivative is zero,

                    dV=4da-3\times \frac{a^2}{3}da\\\\0=4-a^2\\\\a=\pm 2

Negative side is not possible, hence side of square base is 2m.

Substituting in  a² + 3 ah = 12  

                           2² + 3 x  2 x h = 12  

                             h = 1.33 m

Dimension of box is 2 m x 2 m x 1.33 m

5 0
3 years ago
Which table represents a function?​
melamori03 [73]

Answer:

Table 1

Step-by-step explanation:

In a function, you are not allowed to have two of the same x-values. Table 1 is the only one to show this.

Table 2 has two (-5)s in the x-column, Table 3 has two (-2)s, and Table 4 has two (-4)s.

5 0
3 years ago
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Help please <br><br> I need help got to turn this in tomorrow
zhannawk [14.2K]

Answer:

2.25 is the correct answer for -36/-16

Step-by-step explanation:

7 0
3 years ago
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Determine the marginal distribution of Gender. In paragraph form, how you calculated the marginal distribution. Include your cal
Furkat [3]

The marginal distribution for gender tells you the probability that a randomly selected person taken from this sample is either male or female, regardless of their blood type.

In this case, we have total sample size of 714 people. Of these, 379 are male and 335 are female. Then the marginal probability mass function would be

\mathrm{Pr}[G = g] = \begin{cases} \dfrac{379}{714} \approx 0.5308 & \text{if }g = \text{male} \\\\ \dfrac{335}{714} \approx 0.4692 & \text{if } g = \text{female} \\\\ 0 & \text{otherwise} \end{cases}

where G is a random variable taking on one of two values (male or female).

6 0
2 years ago
What does the middle term have to be in this trinomial to make it a perfect square? <br><br> x^2+?+4
arlik [135]

Answer: 4x

Step-by-step explanation:

Formula: a^2+2ab+b^2.

So in this case our a^2 is x^2. our b^2 is 4.

To find the middle term (2ab) we do 2*x*2 = 4x

5 0
3 years ago
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