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4 years ago

Graph f(x)=−0.25x+4.

Mathematics

1 answer:

Studentka2010 [4]4 years ago

7 0

Here is the graph. (I got it from desmos.com...its a good graphing site) I hope this helps love! :)

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How many cords of wood could you fit in a room that is 4 yards long, 4 yards wide, and 2 yards high?

Anuta_ua [19.1K]

Hi there!

It depends on the dimensions of each cords of wood. If each cord of wood is just one square yard large, then you could fit 4*4*2=32 cords of wood into a room that has the dimensions that you described.

-AwesomeRepublic :)

6 0

3 years ago

ABCD is a trapezium with AB= x cm, DC=( x+ 4 )cm and the distance between the parallel sides AB and DC is 1/2 x cm

horsena [70]

We know that the smaller base is x cm, the greater base is x+4 cm, and that the height is x/2 cm.

Since the area of a trapezium is given by

$A=\dfrac{(b+B)h}{2}$

If we plug the expressions we have

$A=\dfrac{(x+(x+4))\frac{x}{2}}{2}=\dfrac{(2x+4)x}{4}=\dfrac{2x^2+4x}{4}$

If this must equal 84, we can solve for x as follows: start with

$\dfrac{2x^2+4x}{4}=84$

Multiply both sides by 4:

$2x^2+4x=336$

Subtract 336 from both sides:

$2x^2+4x-336=0$

We can divide both sides by 2 to make computation simpler:

$x^2+2x-168=0$

Use the quadratic formula (or any mean you prefer) to solve this equation and get the solutions

$x_1=-14,\quad x_2=12$

We can't accept the negative solution, because it would imply

$AB=-14,\quad CD=-10$

and we can't have negative side lengths. So, the answer is 12.

4 0

3 years ago

Pls help due in an hour

BlackZzzverrR [31]

Answer:

4) Yes

5) Yes

6) Yes

7) No

Step-by-step explanation:

4) When we look at the table in the question, we can see the pattern is comics x 3 = price.

We know the definition of a proportional relationship is when one number is increased, the other is as well. So, it is in a proportional relationship.

5) We do the same thing here, we notice that we can divide the number of bikes by 5 to get the number of trips.

So, this is a proportional relationship.

6) The same reasoning applies to 6, we can see they follow a pattern.

7) All of them can be multiplied by 2, except the last one can't, so this is NOT a proportional relationship.

4 0

3 years ago

Read 2 more answers

Layla drew a quadrilateral with 4 right angles and 2 pairs of opposite sides sides that are parallel.What quadrilateral best des

marishachu [46]

The answer is Rectangle

8 0

3 years ago

Some parts of California are particularly earthquake- prone. Suppose that in one metropolitan area, 25% of all homeowners are in

aleksandrvk [35]

Answer:

a. Binomial random variable (n=4, p=0.25)

b. Attached.

c. X=1

Step-by-step explanation:

This can be modeled as a binomial random variable, with parameters n=4 (size of the sample) and p=0.25 (proportion of homeowners that are insured against earthquake damage).

a. The probability that X=k homeowners, from the sample of 4, have eartquake insurance is:

$P(x=k) = \dbinom{n}{k} p^{k}(1-p)^{n-k}\\\\\\P(x=k) = \dbinom{4}{k} 0.25^{0}\cdot0.75^{4}$

The sample space for X is {0,1,2,3,4}

The associated probabilties are:

$P(x=0) = \dbinom{4}{0} p^{0}(1-p)^{4}=1*1*0.3164=0.3164\\\\\\P(x=1) = \dbinom{4}{1} p^{1}(1-p)^{3}=4*0.25*0.4219=0.4219\\\\\\P(x=2) = \dbinom{4}{2} p^{2}(1-p)^{2}=6*0.0625*0.5625=0.2109\\\\\\P(x=3) = \dbinom{4}{3} p^{3}(1-p)^{1}=4*0.0156*0.75=0.0469\\\\\\P(x=4) = \dbinom{4}{4} p^{4}(1-p)^{0}=1*0.0039*1=0.0039\\\\\\$

b. The histogram is attached.

c. The most likely value for X is the expected value for X (E(X)).

Is calculated as:

$E(X)=np=4\cdot0.25=1$

6 0

3 years ago