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Radda [10]
2 years ago
15

How will the solution of the system y > 2x + Two-thirds and y < 2x + One-third change if the inequality sign on both inequ

alities is reversed to y < 2x + Two-thirds and
y > 2x + One-third?

Mathematics
2 answers:
Ierofanga [76]2 years ago
8 0

Answer:

The shaded area would reverse on both inequalities.

The graphs do not overlap until the signs are reversed.

There are an infinite number of solutions in the system once the signs are reversed.

There are no solutions before they are reversed.

Step-by-step explanation:

zubka84 [21]2 years ago
3 0

Answer:

From not having solution the system changed to have solution

Step-by-step explanation:

step 1

we have

y>2x+\frac{2}{3} ----> inequality A

y ----> inequality B

Solve the system of inequalities by graph

using a graphing tool

The system has no solution , because the dashed lines are parallel lines

see the attached figure N 1

step 2

we have

y ----> inequality A

y>2x+\frac{1}{3} ----> inequality B

Solve the system of inequalities by graph

using a graphing tool

The solution is the shaded area between the two dashed lines

see the attached figure N 2

therefore

From not having solution the system changed to have solution

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You have heard that customers will try a new caterer if the price is 20% below their existing caterer. Your competitor prices a
Evgesh-ka [11]

Answer:

b) $640

Step-by-step explanation:

Competitor's price  = $800

<u>Price, 20% below of competitor's:</u>

  • $800 - 20% =
  • $800*(100-20)/100 =
  • $800*0.8 =
  • $640

Correct answer choice is b) $640

3 0
2 years ago
Jeri finds a pile of money with at least $\$200$. If she puts $\$50$ of the pile in her left pocket, gives away $\frac23$ of the
Marizza181 [45]

Answer:

The possible values of the number of dollars in the original pile of money is ≥ $200 but < $350

Step-by-step explanation:

Here we have, pile of money ≥ $200

Amount in put the left pocket = $50

Fraction given away = 2/3 of rest of pile ≥ 2/3×150 ≥ $100

Amount put in right pocket = ≥ $150 - $100 ≥ $50

Total amount remaining with Jeri = $50 +≥ $50 ≥ $100

Also original pile - $200 < $100

Therefore where maximum amount given away to have more money = $200 we have

2/3× (original pile - 50) = $200

Maximum amount for original pile = $350

Therefore the possible values of the number of dollars in the original pile of money is ≥ $200 but < $350.

6 0
2 years ago
The domain for f(x) and g(x) is the set of all real numbers. Let f(x) = 3x + 5 and g(x) = x2. Find g(x) − f(x).
kifflom [539]

Answer:

3x^2 + 8  

Step-by-step explanation:

Given functions,

f(x) = 3x + 8 ----(1)

g(x) = x^2 -----(2)

Since,

(fog)(x) =  f( g(x) )      ( Composition of functions )

=f(x^2)             ( From equation (2) )

=3x^2 + 8          ( From equation (1) )

Hence,

(fog)(x)=3x^2 + 8

Step-by-step explanation:

8 0
2 years ago
Mrs. Smythe is twice as old as her daughter Samantha. Ten years ago the sum of their ages was 46 years. How old is Mrs. Smythe?
Fynjy0 [20]
Mrs. Smythe = x
Daughter = y

x = 2y
(x - 10) + (y - 10) = 46
x - 10 + y - 10 = 46
x + y - 20 = 46
x + y = 66
Put 2y in for x
2y + y = 66
3y = 66
y = 66/3
y = 22

The daughter is 22
The mother = 44
7 0
2 years ago
3 With 72 million bicycles, correct to the
Galina-37 [17]

Answer:

  181 million km

Step-by-step explanation:

"Correct to the nearest unit" means the actual value might be 1/2 unit larger (or smaller) than the reported value.

The upper bound would be the product of the maximum number of bicycles and the maximum distance each travels:

  (72.5 · 10^6 bicycles)(2.5 km/bicycle) = 181.25 · 10^6 km

__

Since the given numbers are good to 2 significant figures (or so), we might reasonably put the upper bound as 180·10^6 km.

5 0
2 years ago
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