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
olchik [2.2K]
2 years ago
14

Which ordered pairs are solutions to the inequality 2y−x≤−6 ?

Mathematics
1 answer:
Vinil7 [7]2 years ago
4 0
Given inequality: 2y−x ≤ −6

Option-1 : (-3,0)
2×0 - (-3) = 0 + 3 = 3 > -6
Not satisfied

Option-2 : (6,1)
2×1 - 6 = 2 - 6 = -4 > -6
Not satisfied

Option-3 : (1, -4)
2×(-4) - 1 = -8 - 1 = -9 < -6
Satisfied.
Thus, (1, -4) is a solution.

Option-4 : (0, -3)
2×(-3) - 0 = -6 - 0 = -6 = -6
Satisfied.
Thus, (0, -3) is a solution.

Option-5 : (2, -2)
2×(-2) - 2 = -4 - 2 = -6 = -6
Satisfied.
Thus, (2, -2) is a solution.

Solutions are: (1, -4), (0, -3) , (2, -2)

You might be interested in
The 6 elephants at the zoo have a combined weight of 11,894 pounds. About how much does each elephant weigh?
Sidana [21]

Answer: 14,000 i think

Step-by-step explanation:

3 0
1 year ago
Read 2 more answers
Abit is planning a birthday party for his granddad. He bought a cake for $18\$18$18dollar sign, 18. He also wants to buy some ba
Arturiano [62]

Answer:

$1.00

Step-by-step explanation:

Total Budget = $35

Cake Spent = $18

Remaining Money = 35 - 18 = $17

Since, each balloon is worth $4, to find how many balloons he will get with remaining money ($17), we divide the the remaining money by price of each balloon:

17/4 = 4.25

We can't have fractional balloons, so Abit can get 4 balloons, MAXIMUM.

4 balloons cost = $4 per balloon * 4 = $16

So, from $17 if he spends $16 for balloons, he will have left:

$17 - $16 = $1.00

3 0
2 years ago
Joanie is organizing her closet. She has 3 times as many black shirts as gray shirts, plus 3 new black shirts she just bought. S
marin [14]

Answer:

Option A. 2

Step-by-step explanation:

To solve this problem we can write equations for each shirt color.

Let's call:

b = black shirts

g = gray shirts

w = white shirts

B = brown shirts

If you have 3 times more black shirts than gray shirts and buy 3 more black shirts then:

b = 3g +3     (i)

If you have 5 times more white shirts than gray shirts and gave a white shirt then:

w = 5g -1      (ii)

It has 2 times more gray shirts than brown camsas, then:

g = 2B         (iii)

It has the same amount of black and white shirts

b = w            (iv)

We want to find the number of gray shirts.

Then replace (iv) in (ii)

b = 5g -1        (v)

Now substitute (v) into (i) and clear g.

5g -1 = 3g +3\\\\5g -3g = 3 +1\\\\2g = 4\\\\g = 2

Joan has 2 gray shirts

5 0
2 years ago
The region bounded by the given curves is rotated about the specified axis. Find the volume V of the resulting solid by any meth
Julli [10]

Answer:

V  = 23π/6

Step-by-step explanation:

V = 2π ∫ [a to b] (r * h) dx

y = −x² + 23x − 132

y = −(x² − 23x + 132)

y = −(x − 11) (x − 12)

Parabola intersects x-axis (line y = 0) at x = 11 and x = 12 ----> a = 11, b = 12

r = x

h = −x² + 23x − 132

V = 2π ∫ [11 to 12] x (−x² + 23x − 132) dx

V  = 23π/6

6 0
2 years ago
A church has 8 bells in its bell tower. Before each church service 5 bells are rung in sequence. No bell is rung more than once.
Basile [38]
Use the ! tool to find the # of combinations.

8!/5! = 40,320/120 = 336
8 0
2 years ago
Read 2 more answers
Other questions:
  • A blue print for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the bluep
    14·2 answers
  • 2. At the grocery store checkout, you watch at the register as it rings up your purchases and coupons. The prices are as follows
    8·2 answers
  • Which statement describes the vector plotted below?
    12·1 answer
  • The extract of a plant native to Taiwan has been tested as a possible treatment for Leukemia. One of the chemical compounds prod
    5·1 answer
  • Alaina evaluated 1718+120 and got an answer of 1838. Which statement is true about her answer?
    11·2 answers
  • The price of a math book after a discount of 25% is $36. What is the original price of the math book?
    9·1 answer
  • Claire went into a movie theater and bought 9 bags of popcorn and 2 pretzels, costing a total of $80. Melanie went into the same
    12·2 answers
  • The graph of the function f(x) = (x − 3)(x + 1) is shown. On a coordinate plane, a parabola opens up. It goes through (negative
    13·1 answer
  • Evaluate expression if x=2 y=3 z=4 6xz + 5xy
    9·1 answer
  • Mei is a park ranger at death valley national park in california. She records the elevation relative to sea level at different p
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!