answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
timama
2 months ago
8

Find the values of x1 and x2 where the following two constraints intersect.

Mathematics
1 answer:
Inessa [12.5K]2 months ago
4 0

Answer: x1 = 251/26, x2 = -111/26

Step-by-step explanation:

Greetings!

As illustrated in the diagram, the point you seek is where the two lines intersect.

This intersection point is found by solving the system of linear equations (both equations must be satisfied by the point):

9x_1 +7x_2=57\\4x_1 + 6x_2 = 13

You can approach solving it using the substitution method:

\text{solve for x1 in the first equation:}\\x_1 = \frac{1}{9}(57 - 7x_2)

Then substitute x1 into equation 2 to resolve x2:

\frac{4}{9}(57-7x_2) + 6x_2 = 13\\\text{doing the algebra you get:}\\x_2 = \frac{-111}{26}

After which, utilize the x2 value to establish x1:

x_1 = \frac{1}{9}(57 - 7x_2)= \frac{1}{9}(57 + 7*\frac{111}{26}) = 251/26\\

You might be interested in
During a sale, 20-cent candy bars were sold at 3 for 50 cents. How much is saved on 9 bars?
tester [12383]

Answer:

B. $0.30

Detailed explanation:

1 candy bar equals $0.20

3 candy bars equal $0.50

To find the solution, let's calculate for both options:

If you buy each candy bar separately, the cost is $0.20 each. For 9, it would be:

9 x 0.20 = $1.80

If you purchase 3 at a time, they are $0.50 each set. Dividing 9 by 3, then multiplying by 0.50 gives:

9/3 = 3

3 x 0.50 = $1.50

Now calculate the difference between the individual total and the pack total:

$1.80 - $1.50 = $0.30

B. $0.30 is your final answer.

~

8 0
2 months ago
Tyler wants to use $300 he has saved to buy a new guitar and join a music club. The guitar costs $140. The music club has a $25
tester [12383]

Answer:

ok __?__ equals 11 and ___ equals 3.55

Step-by-step explanation:

Start by subtracting 140 and 25 from 300, then divide by 11.95 which results in 11; subsequently, multiply 11 by 11.95 and deduct that from 135.

4 0
3 months ago
Read 2 more answers
Consider the next 1000 98% CIs for μ that a statistical consultant will obtain for various clients. Suppose the data sets on whi
lawyer [12517]

Answer:

d) Both blocks experienced equivalent energy loss due to friction

Explanation:

As stated in the question, two tractors are pulling two identical stone blocks the same distance across similar surfacesAdditionally, block A moves at double the speed of block B when completing the race

This implies both blocks suffer from comparable friction loss

Moreover, we understand that

Energy loss from friction is E(X) = np

Thus, the friction loss should be identical for both blocks

therefore, option d is the accurate choice p = 0.98

6 0
2 months ago
Mrs Atkins is going to choose two students from her class to take part in a competition.
babunello [11817]

Given:
Total girls in class = 16.
Total boys in class = 14.
To determine:
The various combinations for selecting one girl and one boy.
Solution:
We have,
Total girls = 16
Total boys = 14
Thus,
The total combinations for selecting one girl from 16 girls = 16.
The total combinations for selecting one boy from 14 boys = 14.
Now, the various ways to select one girl and one boy amount to:
Therefore, the total number of combinations is 224.
6 0
2 months ago
Other questions:
  • The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =
    7·2 answers
  • which shows the correct substitution of the values a, b, and c from the equation 0 = – 3x2 – 2x 6 into the quadratic formula? qu
    15·1 answer
  • Ezra counts the number of passengers who are already on the bus when he gets on each morning. His data for the last 15 days are
    9·1 answer
  • The ages of people at a concert are normally distributed with a mean of 24 years and a standard deviation of 3.2 years.
    11·1 answer
  • Match each three-dimensional figure to its volume based on the given dimensions. (Assume π = 3.14.)
    11·2 answers
  • Hair Color/Height Less than 175 cm 175 to 180 cm Above 180 cm Total
    6·2 answers
  • How do you write 125.06 million dollars in at least four different ways.
    13·2 answers
  • a volleyball team drank 7.5 liters of water during their match. how many milliliters of water did the volleyball team drink?
    13·2 answers
  • elijah's credit card statement showed these items: Last Balance Payments Finance Rate New Charges $152.58 $45.00 1.5% $213.40 Wh
    5·1 answer
  • 732,178+167-642,137=please evaluate
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!