All categories

2 years ago

Which graph matches the equation 3x -4y= 4

1 answer:

4 0

There is no graph to choose from, but the one you are looking for should look like the attached photo.

Hope this helps! Please make me the brainliest, it’s not necessary but appreciated, I put a lot of effort and research into my answers. Have a good day, stay safe and stay healthy.

You might be interested in

Write the function shown in the graph

Kamila [148]

Answer:

$y=\begin{array}{cc} \{ & \begin{array}{cc} 3 & x\leq -2 \\ 1 & x> -2 \end{array}\end{array}$

8 0

3 years ago

:)))) solve the following by factorizing: x^2-2x=120

stepladder [879]

Answer:

Step-by-step explanation:

$x^2 - 2x = 120\\x^2 - 2x - 120 = 0$

We have to find the factors of 120 that can either add up to or have a difference of 2.

The factors of 120 are:

$\pm 1, 120, 2, 60, 3, 40, 4, 30, 5, 44, 6, 20, 8, 15, 10, 12...$

The difference of 10 and 12 is 2. In the equation, since the 2 is negative, the larger number must be subtracted, so the factorized form is:

$(x+10)(x-12)$

3 0

2 years ago

The area of a room is roughly 9∗10^4 square inches. If a person needs a minimum of 2.4∗10^3 square inches of space, what is the

valentina_108 [34]

Answer:

The maximum number of people who could fit in this room is 37

Step-by-step explanation:

Given;

The area of a room A = 9 × 10^4 square inches

Minimum Area needed per person M = 2.4×10^4 square inches

The maximum number of people who could fit in this room is;

N = The area of a room A/Minimum Area needed per person M

N = A/M

Substituting the values;

N = 9×10^4 ÷ 2.4×10^3

N = 37.5

Since we can not have a 0.5 person, the number would be approximated down to nearest lower whole number.

N = 37

The maximum number of people who could fit in this room is 37

5 0

3 years ago

According to a research paper, the carbon monoxide exposure of someone riding a motorbike for 5 km on a highway in a particular

KatRina [158]

Answer:

a) $P(X>20)=P(Z>0.271)=1-P(Z$

b) $P(X>25)=PP(Z>1.119)=1-P(Z$

Step-by-step explanation:

1) Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

2) Part a

Let X the random variable that represent the carbon monoxide exposure of someone riding a motorbike for 5 km on a highway in a particular city of a population, and for this case we know the distribution for X is given by:

$X \sim N(18.4,5.9)$

Where $\mu=18.9$ and $\sigma=5.9$

(a) Approximately what proportion of those who ride a motorbike for 5 km on a highway in this city will experience a carbon monexide exposure of more than 20 ppm? (Round your answer to fou decimal places.)

We are interested on this probability

$P(X>20)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>20)=P(\frac{X-\mu}{\sigma}>\frac{20-\mu}{\sigma})=P(Z>\frac{20-18.4}{5.9})=P(Z>0.271)$

And we can find this probability on this way:

$P(Z>0.271)=1-P(Z$

b) Approximately what proportion of those who ride a motorbike for 5 km on a highway in this city will experience a carbon monoxide exposure of more than 25 ppm? (Round your answer to four decimal places.)

We are interested on this probability

$P(X>25)$

And the best way to solve this problem is using the normal standard distribution and the z score given by:

$z=\frac{x-\mu}{\sigma}$

If we apply this formula to our probability we got this:

$P(X>25)=P(\frac{X-\mu}{\sigma}>\frac{20-\mu}{\sigma})=P(Z>\frac{25-18.4}{5.9})=P(Z>1.119)$

And we can find this probability on this way:

$P(Z>1.119)=1-P(Z$

6 0

3 years ago

There is a population of 17 bacteria in a colony. If the number of bacteria doubles every 229 hours, what will the population be

Anettt [7]

Answer:

Step-by-step explanation:

Step 1: Divide the asked hours by hours need to double

Step 2: Double the initial number of the population as per the result from step 1.

First divide 458 by 229, you will get 2

Now you double the initial population number twice

so 17 * 2 = 34 and again 34 * 2 = 68

3 0

2 years ago