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Grace [21]
3 years ago
13

How many solutions does the system have?

Mathematics
1 answer:
kramer3 years ago
8 0

Answer:

B. No solutions

Step-by-step explanation:

y= -3x + 9

3y = -9x + 9

Rewrite the first equation below. Then, divide both sides of the second equation by 3 and write it below the first equation.

y = -3x + 9

y = -3x + 3

Now look at the two equations. They are both written in the slope-intercept form, y = mx + b, where m = slope, and b = y-intercept. They have the same slope (m = -3) and different y-intercepts (9 and 3), so they are equations of two different lines, but since the slopes are the same, the lines are parallel. Since the lines never intersect, there is no solution.

Answer: No solutions

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Dan invests £1300 into his bank account.
alexandr402 [8]

Given parameters:

Principal  = £1300

Interest rate  = 5%

Duration  = 2yrs

Unknown:

Total amount of Dan's principal = ?

To solve this problem, we apply the equation below:

  Total investment worth  = Principal + interest

   Interest  = \frac{PRT}{100}

where P is the principal

          R is the rate

          T is the time

Now, input the parameters;

     Total investment worth  = £1300 + £ \frac{1300 x 5 x 2}{100}

                                             = £1300 + £130

                                             = £1430

The amount after two years is £1430

7 0
3 years ago
Kristen read a total of 20 books over 4 months. After belonging to the book club for 5
KATRIN_1 [288]

Answer:

25

Step-by-step explanation:

20 books in 4 months is 5 books in 1 month.

20÷4=5

4÷4=1

1×5=5

5×5=25

7 0
3 years ago
Divide use estimation to check your answer
Vesnalui [34]

Answer:

4 remainder .43

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Is f(1) greater than less than or equal to g(1)
Natali [406]

Answer:

equal to

Step-by-step explanation:

we don't know the value of the variable but if you loo at it with just the 1 there equal because g and f don' have any value so they are equal.

3 0
3 years ago
A jar consists of blue, red and green marbles. The probability of each of them is 2/7 , 3/k and 5/2k. Find the value of k.
jok3333 [9.3K]

Answer:

k = 77/10

Step-by-step explanation:

The jar consist of blue, red and green marbles . The probability of each of them can be described as follows.

probability of blue marbles = 2/7

probability of red marbles = 3/k

probability of green marbles = 5/2k

The sum of the individual probability is equals to 1. Therefore,

2/7 + 3/k + 5/2k = 1

collect like terms

(6 + 5)/2k = 1 - 2/7

11/2k =(7 - 2) /7

11/2k = 5/7

cross multiply

10k = 77

divide both sides by 10

k = 77/10

6 0
3 years ago
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