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
chubhunter [2.5K]
4 years ago
8

X2+5x=3x+11 and solve by completing the square

Mathematics
1 answer:
Butoxors [25]4 years ago
7 0
x^2+5x=3x+11\\
x^2+2x-11=0\\
x^2+2x+1-12=0\\
(x+1)^2=12\\
x+1=\sqrt{12} \vee x+1=-\sqrt{12}\\
x=-1+2\sqrt3 \vee x=-1-2\sqrt3
You might be interested in
On a recent trip to the convenience store, you picked up 4 gallons of milk, 6 bottles of water and 5 snack size bags of chips. Y
cricket20 [7]

Answer:

Cost of a snack size bag of chips = $0.8

Cost of a water bottle = $1.6

Cost of a gallon of milk = $3.4

Step-by-step explanation:

Let the cost of water bottle = $a

Cost of 1 gallon milk = $b

and cost of 1 bag of chips = $c

So, cost of 4 gallons of milk, 6 bottles of water and 5 bags of chips = $(4b + 6a + 5c)

4b + 6a + 5c = 27.2 -----(1)

Cost of one water bottle = 2 × cost of one bag of chips

a = 2c -----(2)

A gallon of milk = cost of water bottle + $1.80

b = a + 1.8

From equation (2)

b = 2c + 1.8 -----(3)

Now we substitute these values from equations (2) and (3) in equation (1)

4(2c + 1.8) + 6(2c) + 5c = 27.2

8c + 7.2 + 12c + 5c = 27.2

25c = 27.2 - 7.2

c = \frac{20}{25}

c = $0.8

From equation (2)

a = 2×0.8

a = $1.6

From equation (3)

b = 2(0.8) + 1.8

b = 1.6 + 1.8

b = $3.4

Therefore, cost of a snack size bag of chips = $0.8

Cost of a water bottle = $1.6

Cost of a gallon of milk = $3.4

5 0
3 years ago
20)
Nataly [62]

Answer:

babysitting = $9

working at coffeehouse = $12

x = hours for babysitting

y = hours at coffeehouse

minimum = ≥

9x + 12y ≥ 240

Step-by-step explanation:

just a short note on which symbol you should use when you see these words in inequality questions:

i) use ≥

-more than or equal to

-not less than

-at least

-minimum

ii) use >

-more than

-greater than

iii) use ≤

-less than or equal to

-not more than

-at most

-maximum

iv) use <

-less than

7 0
3 years ago
Solve for x.<br> Please help
Andrei [34K]

Answer:

x=3

Step-by-step explanation:

(11-3)+3x+1 = 5x+3

8+3x+1 = 5x+3

9+3x= 5x+3

6=2x

x=3

8 0
3 years ago
GUYS PLEASE HELP ME PLEAS PLEASE PLEASE FOR THE LOVE OF GOD
LenaWriter [7]

Answer: A

Step-by-step explanation: Just sreach it up BURH

6 0
3 years ago
Help pls it’s due today *photo*
a_sh-v [17]

9514 1404 393

Answer:

   ACBD-BDAC

Step-by-step explanation:

It is convenient to compare the values of each of the functions when h=1. On the graphs, find 1 on the horizontal axis, then read the value of the function at that point from the vertical axis.

For the equations, the value for h=1 will be its coefficient in the equation.

__

1) a: 80,b: 50, c: 75, d: 30

Fastest to slowest is ACBD.

__

2) a: 4, b: 2, c: 8, d: 3

Slowest to fastest is BDAC

__

The code is these lists, separated by a dash: ACBD-BDAC.

4 0
3 years ago
Other questions:
  • Round 44.3 to the nearest whole number
    6·1 answer
  • Given: m VKP =148° Find: m∠JPV
    14·1 answer
  • The area of a rectangular wall of a barn is 280280 square feet. its length is 88 feet longer than twice its width. find the leng
    13·1 answer
  • The cost in dollars of making x items is given by the function C(x)=10x+800.
    14·1 answer
  • Please help me answer 16 please
    12·1 answer
  • Find the volume of the cylinder. Round your answer to the nearest tenth. 15 m 5 m The volume of the cylinder is about cubic mete
    6·1 answer
  • Round 62.475 to the nearest hundredth.
    10·2 answers
  • Translate the<br> following phase<br> into an inequality<br> -3 times r is at least 57
    11·1 answer
  • Can you guide me through the steps of finding the area of a circle?
    14·1 answer
  • Find 25% out of the 0.45 and round it to the nearest thousandths
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!