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
k0ka [10]
3 years ago
14

3x - 4y = 18x + 3y = -7​

Mathematics
1 answer:
Mnenie [13.5K]3 years ago
4 0

Answer:

x=2, y=-3

Step-by-step explanation:

x+3y+-7

move variable to the right and -3y from each side

x+3y-3y=-7-3y

x= -7-3y

3x -4y=18

3(-7-3y)-4y=18

solve for y, distribute

-21-9y-4y=18

collect like terms

-21-13y=18

move constant and change sign

-13y=18+21

add

-13y=39

divide by -13

y= -3

substitute

x=-7-3(-3)

solve

x=2

You might be interested in
What percent of 137.4 is 96
Svetlanka [38]
When I went to the calculator, I got 70%. Hope it helps.

5 0
3 years ago
Y = 2x2-12x+25 write in vertex form and show work
nalin [4]

The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7

Step-by-step explanation:

The vertex form of a quadratic function is y = a(x - h)² + k, where

  • (h , k) are the coordinate of the vertex point
  • a is the leading coefficient (coefficient of x²)
  • If y = ax² + bx + c, then h=\frac{-b}{2a}
  • k = f(h) that means the value of y when x = h

∵ y = 2x² - 12x + 25

∵ y = ax² + bx + c

∴ a = 2 , b = -12 , c = 25

∵ h=\frac{-b}{2a}

∴ h=\frac{-(-12)}{2(2)}

∴ h=\frac{12}{4}

∴ h = 3

∵ k = f(h)

∴ k = f(3)

∵ y = 2x² - 12x + 25

- Substitute x by 3 to find k

∴ k = 2(3)² - 12(3) + 25

∴ k = 18 - 36 + 25

∴ k = 7

∵ The vertex form is y = a(x - h)² + k

∵ a = 2 , h = 3 , k = 7

∴ y = 2(x - 3)² + 7

The vertex form of y = 2x² - 12x + 25 is y = 2(x - 3)² + 7

Learn more:

You can learn more about the quadratic function in brainly.com/question/9390381

#LearnwithBrainly

3 0
3 years ago
1) The center of a circle is at (-10,6) and it has a radius of 4. What is the equation of the circle?
krok68 [10]
1.   (x - h)² + (y - k)² = r²
 (x - (-10)) + (y - 6)² = 4²
  (x + 10)² + (y - 6)² = 16
The equation of the circle is (x + 10)² + (y - 6)² = 16.

2. The answer is A.

3. The equation of the parabola is y = ⁻⁵/₃₆x² - 1²/₃x - 2.

4. I don't know the answer to the problem.
8 0
2 years ago
The course grade in a statistics class is the average of the scores on five examinations. Suppose that a student's scores on the
nadya68 [22]

Answer:

84 is the highest possible course average

Step-by-step explanation:

Total number of examinations = 5

Average = sum of scores in each examination/total number of examinations

Let the score for the last examination be x.

Average = (66+78+94+83+x)/5 = y

5y = 321+x

x = 5y -321

If y = 6, x = 5×6 -321 =-291.the student cannot score -291

If y = 80, x = 5×80 -321 =79.he can still score higher

If If y = 84, x = 5×84 -321 =99.This would be the highest possible course average after the last examination.

If y= 100

The average cannot be 100 as student cannot score 179(maximum score is 100)

8 0
2 years ago
A store offers 20% off all items. If x is the original purchase price, which expression represents the final price with the disc
Keith_Richards [23]

Answer:

20%-X=a

Step-by-step explanation:

So if there is a toy that cost $50 and it was 20% off  it would then cost $40

5 0
2 years ago
Other questions:
  • an electrician has 4.1 meters of wire. How much stripes 7/10m long can he cut? How much wire will he have left over?
    9·2 answers
  • a running tap dispenses 0.15 gallons of water every second. how many pints of water is dispensed after 20 seconds?
    15·2 answers
  • Find the rule. Solve for n.<br> X Y<br> 3 5<br> 4 7<br> n 11<br> 8 15<br> Rule:
    5·1 answer
  • Garrett must inspect a bridge that goes over a river. He begins 18 feet above water level to inspect the lighting, descends 32 f
    8·2 answers
  • What is the value of x?
    10·1 answer
  • Un mecánico tiene un conjunto de 20 llaves. La medida de la llave más grande es 3/4 pulgada, mientras que la llave mas pequeña e
    8·1 answer
  • What is ​ BC ​ ?<br><br><br> Enter your answer in the box.
    6·1 answer
  • Can someone please do 4 x 5/6 on a number line​
    10·1 answer
  • The answer is 2sqrt2
    10·1 answer
  • Which absolute value equation shows the distance this temperature reading is from zero?
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!