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3 years ago

Solve the system of equations:

Mathematics

1 answer:

PolarNik [594]3 years ago

4 0

Answer:

D.(-1,-5) and (5,7)

Step-by-step explanation:

I used a graphing tool to graph the two equations together. When graphed, the equations intercept (5,7) and (-1,-5). Therefore, they are the solutions to the system.

Option D should be the correct answer.

You might be interested in

What is a rational number between -1/4 and 2/5

kramer

1/5

Any number that can be written in fraction form is a rational number, so numbers like -1/8, 0, 1/4, etc. all work.

4 0

2 years ago

Please help me out with this!!

galina1969 [7]

Answer:

see explanation

Step-by-step explanation:

Given

x + $\frac{1}{2}$ ≤ - 3 or x - 3 > - 2

Solve the left and right inequalities separately, that is

x + $\frac{1}{2}$ ≤ - 3 ( isolate x by subtracting $\frac{1}{2}$ from both sides )

x ≤ - 3 - $\frac{1}{2}$ , that is

x ≤ - $\frac{6}{2}$ - $\frac{1}{2}$ , thus

x ≤ - $\frac{7}{2}$

x - 3 > - 2 ( isolate x by adding 3 to both sides )

x > 1

Solution is

x ≤ - $\frac{7}{2}$ or x > 1

7 0

2 years ago

Sherman goes golfing every 6^\text{th}6 th 6, start superscript, start text, t, h, end text, end superscript day and Brad goes g

nydimaria [60]

Answer:

In every 42 days, Sherman and Brad will go golfing on the same day.

Step-by-step explanation:

Given:

Sherman goes golfing every 6th day.

Brad goes golfing every 7th day.

If they both went golfing today, we need to determine how many days unit they will go golfing on the same day again.

Solution:

In order to determine how many days unit Sherman and Brad will go golfing on the same day again, we will take least common multiple of 6 and 7.

To find least common multiple of 6 and 7, we will list out their multiples.

$6=6,12,18,24,30,36,42$

$7=7,14,21,28,35,42$

We find out that the least common multiple of 6 and 7 =42.

Thus, we can conclude that Sherman and Brad will go golfing on same days on every 42nd day after they meet..

7 0

3 years ago

Read 2 more answers

What is the equation of y = x^3 with the given transformations? Vertical stretch by a factor of 3, horizontal shift 4 units to t

givi [52]

Answer:

y = 3(x - 4)^3 - 3

Step-by-step explanation:

A vertical stretch factor 3 is given by 3x^3. Horizontal shift 4 to the right is given by 3(x - 4)^3. Finally we add -3 to this function to move it 3 units down.

Answer is y = 3(x- 4)^3 - 3

4 0

3 years ago

Read 2 more answers

In a survey of 248 people, 156 are married, 70 are self-employed, and 25 percent of those who are married are self-employed. If

MatroZZZ [7]

Answer:

The probability of selecting a person which is self-employed but not married equals 1/8.

Step-by-step explanation:

Here, the given survey says:

Total number of people surveyed = 248

Number of people married = 156

The number of people are self employed = 70

Now, 25% of people who are married are SELF EMPLOYED.

Now, calculating 25% of 156 , we get:

$\frac{25}{100} \times 156 = 39$

⇒ out of total 156 married people, 39 are self employed.

So, number of self employed people but not married

= Self employed people - Self employed people PLUS married

= 70 - 39 = 31.

So, the probability that the person selected will be self-employed but not married = $\frac{\textrm{The total number of people self-employed but not married}}{\textrm{Total Number of people}}$ = $\frac{31}{248} = \frac{1}{8}$

Hence The probability of selecting a person which is self-employed but not married equals 1/8.

7 0

2 years ago