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3 years ago

Which of the following graphs shows the solution to the system of equations?

Mathematics

2 answers:

rusak2 [61]3 years ago

7 0

The answer is D for the question above.

REY [17]3 years ago

4 0

Answer:

The graph which shows the solution to the system of equations

y = 5x – 1

y = x + 3 is:

Graph D

Step-by-step explanation:

We are given system of equations:

y = 5x – 1

y = x + 3

on subtracting first equation by second, we get

0=4x-4

i.e. x=1

when x=1 y=4

Hence, solution of this system of equation is:

(1,4)

Which is represented by graph D

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Use addition to solve the linear system of equations. Include all of your work in your final answer. $\left\{ \right.$ 3x-y=6

ad-work [718]

Answer:

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

Step-by-step explanation:

We need to solve the linear system of equations.

$3x-y=6 \\y=x-4$

We can write second equation y=x-4 as: $-x+y=-4$

Let:

$3x-y=6--eq(1)\\ -x+y=-4--eq(2)$

Now, Adding equation 1 and 2

$3x-y=6\\ -x+y=-4\\--------\\2x+0y=2\\2x=2\\x=\frac{2}{2}\\x=1$

So, we get x = 1

Now, put value of x in second equation to find value of y:

$y=x-4\\Put\:x=1\\y=1-4\\y=-3$

So, we get y = -3

Solving the given linear system, we get x = 1 and y = -3.

The solution set is: (1,-3)

4 0

3 years ago

T-2(3-2t)=2t+9 <br>algebra2

nekit [7.7K]

T-2(3-2t)=2t+9
t-6+4t=2t+9
5t-6=2t+9
5t-2t=9+6
3t=15
t=15/3
t=5

5 0

3 years ago

Read 2 more answers

Assume that females have pulse rates that are normally distributed with a mean of u = 75.0 beats per minute and a standard devia

Elan Coil [88]

Answer:

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 75, \sigma = 12.5$

Find the probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

This is the pvalue of Z when X = 81 subtracted by the pvalue of Z when X = 69.

X = 81

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{81 - 75}{12.5}$

$Z = 0.48$

$Z = 0.48$ has a pvalue of 0.6844

X = 69

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{69 - 75}{12.5}$

$Z = -0.48$

$Z = -0.48$ has a pvalue of 0.3156

0.6844 - 0.3156 = 0.3688

36.88% probability that her pulse rate is between 69 beats per minute and 81 beats per minute.

3 0

3 years ago

Read 2 more answers

Collin's retirement party costs $4 for every guest he invites. What is the maximum number of guests there can be if Collin can a

steposvetlana [31]

Answer:

Collin can invite maximum 6 guest to his retirement party.

Step-by-step explanation:

Total cost of retirement party = $24

Cost to be spend on each guest = $4

Number of guests to be invited in the retirement party= x

$x\times \$4=\$24$

$x=\frac{\$24}{\$4}$

x = 6

Collin can invite maximum 6 guest to his retirement party.

6 0

3 years ago

Rate of Change- A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below

nirvana33 [79]

We can create two points.

30 feet below the surface of the water 10 seconds after he entered the water
100 feet below the surface after 40 seconds

So we have (10, 30) and (40, 100)

Plug this values into the slope formula:

m = y2-y1/x2-x1

m = (100 - 30)/(40 - 10)

m = 70/30

m = 2 1/3

3 0

3 years ago