1answer.
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
Kitty [74]
2 years ago
15

Consider the following system of equations.

Mathematics
2 answers:
soldier1979 [14.2K]2 years ago
8 0

Answer:

  • A. Since 11 ≠ 9, there is no solution

Step-by-step explanation:

<u>Given system:</u>

  • 1.75x + 1.25y = 2.75
  • 7x + 5y = 9

<u>Multiply the first equation by 4:</u>

  • 4(1.75)x + 4(1.25)y = 4(2.75)
  • 7x + 5y = 11

We get same equation as the second one with the difference that the right side equals to 11.

Since left sides are same and right sides are different, the system has no solution.

Correct choice is A

Anit [1.1K]2 years ago
4 0

Step-by-step explanation:

1.75x + 1.25y = 2.75 (1)

7x + 5y = 9 (2)

On multiplying EQ. 1 by 4

4(1.75x + 1.25y) = 4(2.75)

7x + 5y = 11 (3)

We get the same LHS as equation 2 but not same RHS as equation 2

Option A is correct

You might be interested in
Helpppppppp please it’s due today
yanalaym [24]

Answer:

Option B, would be the correct option as she sets it in the attic window. I hope this helps you! :)

8 0
3 years ago
In the fraction 7_8 the numerator or demomenator is 7
wlad13 [49]

If the fraction is 7/8, the top number would be the numerator.  So the numerator is 7.

3 0
3 years ago
Read 2 more answers
The boundary of a park is shaped like a circle. The park has a rectangular playground in the center and 2 square flower beds, on
fiasKO [112]

Answer:

Step-by-step explanation:

Get the perimeter of the each shape and add it all up to get the total fencing material required.

2 square flower beds = 2 x 4a = 8a

1 rectangular play ground = 2l + 2w 

total fencing material = 8a + 2l + 2w

7 0
2 years ago
The Johnson twins were born five years after their older sister. This​ year, the product of the three​ siblings' ages is exactly
Mamont248 [21]

Answer:

13 years.

Step-by-step explanation:

Suppose, today, the Johnson twins' age is x years. Then the age of their elder sister will be (x + 5) years old. It is given that product of the three​ siblings' ages is exactly 2998 more than the sum of their ages. Therefore:

x + x + x + 5 + 2998 = (x)(x)(x + 5).

3x + 3003 = x^3 + 5x^2.

x^3 + 5x^2 - 3x - 3003 = 0.

To solve the question, factor theorem will be used. It states if any number c satisfies the equation f(c) = 0, then c is the factor of f(x). By observation, it can be seen that x = 13 can be a possible candidate for the factor of f(x). To verify, check f(13).

f(13) = 13^3 + 5(13^2) - 3(13) - 3003 = 2197 + 845 - 39 - 3003 = 0.

Since f(13) = 0, therefore x = 13 is the factor of f(x).

Now applying synthetic division:

Column 1       2       3       4            5

     13    |         1       5      -3        -3003  (Row 1)

______|______<u>  _13__234___3003</u>   (Row 2)

            |         1       18      231          0    (Row 3)

The method requires to write the coefficients of all the powers in the Row 1 on the right hand side of the table. Put the factor x = 13 on the left hand side of the table (Row 1 Column 1). The first step involves the second column elements to be added. Since there is only 1, thus there will be 1 below the line. Next step involves multiplying 1 with the factor (which is 13) and this will be the element for row 2 column 3. The add the elements of the column 3. The answer comes out to be -3. Repeat the above steps for the columns 4 and 5. The sum of the column 5 (the last column) should be 0, which is the case. The elements of the last row are actually the coefficients of the quadratic equation which is resultant from dividing f(x) by (x - 13). Thus:

x^2 + 18x + 231 = 0.

Using completing the square:

x^2 + 18 = -231.

(x)^2 + 2*(x)*(9) + (9)^2 = -231 + (9)^2.

(x + 9)^2 = -231 + 81.

(x + 9)^2 = -150.

Taking square root on both sides shows that rest of the 2 answers of this polynomial will be complex roots since square root of -150 does not exist in real numbers. Therefore, since the age is a real quantity and not a complex quantity, the age of the twins is 13 years!!!

8 0
3 years ago
7<br> х<br> 45<br> Find x.<br> x=<br> V(14)<br> 7<br> 07/2
lukranit [14]

Answer:

7

Step-by-step explanation:

This a special 90° 45° 45° triangle and is an Isosceles triangle at the same time

Of one of the equal side is 7 than the other one too must be 7

6 0
3 years ago
Other questions:
  • 10 points!!
    9·1 answer
  • PLEASE HELP!!!!! IM VERY STRESSED
    12·1 answer
  • If 6 sandwich rolls cost $1.44, how much will 26 rolls cost?
    15·2 answers
  • Consider the equation 4+2(5x-8) = ax +b.
    9·2 answers
  • 4. Four friends went on a trip to Mexico. They rented a car for eight days which cost
    7·1 answer
  • 70 points and i’ll give brainliest!! please answer all the questions on the page! must show work and how you got the answer. ple
    7·1 answer
  • Please answer asap I'll mark brainliest​
    9·2 answers
  • What is the slope of a line perpendicular to the given line plz
    5·2 answers
  • Conor's house is 3000 m from Oscar's house.
    11·1 answer
  • Find the perm of shaded shape
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!