All categories

4 years ago

Which ordered pair is in Quadrant IV?

Mathematics

2 answers:

luda_lava [24]4 years ago

8 0

C. (5,-3) if u remember where the Quadrants are at u'll understand

Nataly [62]4 years ago

5 0

Well,

The ordered pair in option C would be located in Quadrant IV.

In quadrant IV, all ordered pairs are as follows: (+,-), because it is to the right of zero on the x axis and below zero on the y axis.

You might be interested in

Which statement is true about linear functions? Select all that apply...

beks73 [17]

Answer:

The first one and the third one

Step-by-step explanation:

A linear is not a curved line

7 0

3 years ago

Read 2 more answers

Prove that if one solution for a quadratic equation of theform x2 + bx + c = 0 is rational (where b and c are rational),then the

Elenna [48]

Answer:

The other solution of the given equation x² + bx + c = 0 is also rational number.

Step-by-step explanation:

Here, given: ax² + bx + c = 0 is a quadratic equation

Also, one solution (r) of equation is RATIONAL.

To show: The other solution (s) is also RATIONAL

Now, here: as x² + bx + c = 0

Since r and s are the two given solutions, the given equation can be factorized as:

x² + bx + c = (x -r) (x - s)

Simplifying LHS, we get:

(x -r) (x - s) = x x - r (x) - s (x) + (r)(s)

= x² + x(-r - s) + rs

or, x² + bx + c = x² + x(-r - s) + rs

Comparing the related terms, we get:

b = (-r - s)

⇒ b + s = - r

or, s = -r - b

Now, given : r = Rational and the negative of a rational is also rational.

⇒ -r is also rational

Also, difference of two rational number is also rational.

⇒ -r - b is also rational

⇒ s is a RATIONAL NUMBER

Hence, the other solution of the given equation x² + bx + c = 0 is also rational number.

7 0

4 years ago

The demand for mineral water is P=10 – (2/3)Q and supply function for mineral water is P=1+(1/3)Q

oksano4ka [1.4K]

Answer:

Equilibrium

We have:

+) Demand function: $P = 10 - \frac{2}{3} Q_{demand}$

=> $Q_{demand} = (10 - P)/\frac{2}{3} = (10-P).\frac{3}{2} = 15 - \frac{3}{2} P$

+) Supply function: $P = 1 + \frac{1}{3} Q_{supply}$

=> $Q_{supply} = (P-1)/\frac{1}{3} = (P-1).3 = 3P - 3$

The market of mineral water is at equilibrium when the quantity of demand is equal to the quantity of supply at a price level.

We have: Qdemand = Qsupply

⇔ $15 - \frac{3}{2} P = 3P - 3$

⇔ $15 + 3 = 3P + \frac{3}{2} P$

⇔ $18 = \frac{9}{2} P$

⇔ $P = 18/ \frac{9}{2} = 18 .\frac{2}{9} = 4$

When P = 4

⇒ $\left \{ {{Q_{demand} = 15 - \frac{3}{2}P = 15 -\frac{3}{2}.4 = 9 } \atop {Q_{supply} = 3P - 3 = 3.4 - 3 = 9}} \right.$

Price elasticity:

At P = 4, Qd = Qs = 9

+) Demand function:

$Q_{demand} = 15 - \frac{3}{2} P$ => $dQ_{D} = -\frac{3}{2}$

Price elasticity of demand is:

$E_{D} = dQ_{D}.\frac{P}{Q_{D} } = -\frac{3}{2} . \frac{4}{9} = -\frac{2}{3}$

+) Supply function:

$Q_{supply} = 3P - 3$ => $dQ_{S} = 3$

Price elasticity of supply is:

$E_{S} = dQ_{S}.\frac{P}{Q_{S} } = 3. \frac{4}{9} = \frac{4}{3}$

So equilibrium price is 4, equilibrium quantity is 9.

Price elasticity of demand is -2/3; Price elasticity of supply is 4/3

Initially, the market is at equilibrium at point A: P=4; Qd = Qs = 9

When a unit of tax is imposed on the suppliers, it will shift the supply curve to the left a distance = t = 3 TL. (We can see in the attached image).

The new supply curve intersects the demand curve at point B.

The market moves to the new equilibrium at point B: Q = Q2; Price producers get after tax = Price consumers pay - Tax

When a unit of tax is imposed, it will result in the difference between the price consumers pay and price producers receive at the equilibrium , which is equal to the tax.

We have:

$P_{D} = 10 - \frac{2}{3} Q_{demand}$

$P_{S} = 1 + \frac{1}{3} Q_{supply}$

And at equilibrium, Q demand = Q supply, so we have the equation:

$P_{S} - P_{D} = t$

⇔ $10 - \frac{2}{3} Q - (1+ \frac{1}{3} Q) = 3$

⇔ 9 - Q = 3

⇔ Q = 9 - 3 = 6

⇒ $P_{D} = 10 - \frac{2}{3} Q_{demand} = 10 - \frac{2}{3} .6 = 6$

$P_{S} = 1 + \frac{1}{3} Q_{supply} = 1 + \frac{1}{3} .6 = 3$

New equilibrium: Quantity = 6

+) Price consumers pay = 6

+) Price suppliers receive = 3

When the tax is imposed on the producers, it will create the burden on both producers and consumers.

As we can see it the attached image, the blue part represents the total tax that the government would receive, it can be calculated as:

Tax revenue = Tax × Equilibrium Quantity = 3 x 6 = 18

The burden of tax on consumers is illustrated by the area of rectangle a

=> Burden tax on consumers = (4 - 3) x 6 = 6

=> Burden tax on producers = 18 - 6 = 12

When the government imposes the tax, if the price elasticity of demand is less than price elasticity of supply, the consumers will have heavier burden of tax.

Vice versa, if the price elasticity of demand is greater than price elasticity of supply, the consumers will have less burden of tax.

=> The more inelastic, the heavier burden of tax and vice - versa

7 0

3 years ago

Y= x2- 10 a= b= c= Vertex: Axis of Symmetry:

evablogger [386]

Vertex (0,-10)
Axis of sysmmetry x=0

5 0

3 years ago

34/100 in simple pls i need it

GenaCL600 [577]

The answer for this math problem that you need help with is 17/50