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2 years ago

Which ordered pair is the best approximation of the exact solution?

Mathematics

2 answers:

tino4ka555 [31]2 years ago

4 0

For this case what you should do is observe the table that the values of y of both functions are as similar as possible.
We observed that:
For the x 1.6 coordinate we have:
$y = 1.2

y = 1.4$
Therefore, a good approximation of the solution is:
$\frac{(1.2 + 1.4)}{2} = 1.3 

$
The ordered pair solution is:
(1.6, 1.3)
Answer:
(1.6, 1.3)option A

sveticcg [70]2 years ago

3 0

Answer:

The correct option is A.

Step-by-step explanation:

The given table represent the value of two functions

$y=-3x+6$ .... (1)

$y=4x-5$ .... (2)

Equate both the equations to find the solution of the equations.

$-3x+6=4x-5$

Isolate like terms.

$6+5=4x+3x$

$11=7x$

$\frac{11}{7}=x$

$x\approx 1.571$

Put this value in equation (1).

$y=-3(1.571)+6$

$y\approx 1.287$

The solution of the system of equation is

$(1.571, 1.287)\approx (1.6,1.3)$

Therefore approximation of the exact solution is (1.6,1.3). The correct option is A.

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kadeem and quinn both drive 25 miles. Kadeem drives at a constant speed of 50 miles an hour. Quinn drives at a constant speed of

Phantasy [73]

Answer:

Kadeem will take 0.166 h more to complete the course.

Step-by-step explanation:

The speed is the rate at which the distance changes, when the speed goes up the distance changes more quickly, therefore if the distance is the same and the speed is higher the one who will take longer is the one that has less speed. In this case the one who will take longer to drive the 25 miles is Kadeem, since he's driving at 50 mph. In order to calculate how much longer we need to calculate the time at which each of them complete the course, this is shown below:

time = distance/speed

For Kadeem:

time = 25/50 = 0.5 h

For Quinn:

time = 25/75 = 0.334 h

The difference between the is 0.5 - 0.334 = 0.166 h.

8 0

2 years ago

If Ana devotes all her time to making fudge, she can make 3 pounds of fudge an hour, and if he devotes all her time to making to

lara [203]

Answer: If Ana produce more furge and Leo produce more toffee.

Step-by-step explanation:

Comparative advantage: A country or a person has a comparative advantage in producing a commodity if the opportunity cost of producing that commodity is lower in that country as compared to the other country.

Here Ana or Leo will gain comparative advantage only when they are selling the good they are specializing in and they would specialize in that good which would have lower opportunity cost for them.

(a) For Ana who devoted all of her time to making either 3 pounds of fudge or 2 pounds of toffee,

the opportunity cost for making 1 pound of furge is = 2/3 = 0.66

the opportunity cost for making 1 pound of toffee is = 3/2 = 1.5

(b) For Leo who devoted all of her time to making either 4 pounds of fudge or 5 pounds of toffee,

the opportunity cost for making 1 pound of furge is = 5/4 = 1.25

the opportunity cost for making 1 pound of toffee is = 4/5 = 0.8

Above calculations clearly shows that Ana has a comparative advantage in producing furge because opportunity cost of making furge is lower than the Leo, so he devotes most of his time to produce furge.

Whereas Leo has a comparative advantage in producing Toffee because opportunity cost of making toffee is lower than the Ana, so he devotes most of his time to produce toffee.

7 0

2 years ago

77 million to 200.2 million

Luda [366]

77 million to 200.2 millionFrom 77 million it becomes 200.2 million.It is very noticeable that it increased we only need to identify the number that has increased.=> 200.2 - 77 million = 123.2 millionNow, let's find the increase rate:=> 123.2 million / 200.2 million = 0.62Now let's convert this to percentage=> 0.62 * 100% = 62%<span>
</span>

4 0

2 years ago

Which products result in a difference of squares or a perfect square trinomial? Check all that apply.

tiny-mole [99]

Answer:

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

$(7x+4)(7x+4)=49x^2+56x+14$

Step-by-step explanation:

$(7x+4)(7x+4)=(7x+4)^2$ ( using $(a+b)(a+b)=(a+b)^2$ )

$=(7x)^2+2(7x)(4)+4^2$ ( using $(a+b)^2=a^2+2ab+b^2$ )

$=7^2x^2+56x+16$

$=49x^2+56x+14$

Therefore $(7x+4)(7x+4)=49x^2+56x+14$

which is a perfect square trinomial

A trinomial is a perfect square trinomial if it can be factored into a binomial multiplied to itself. In a perfect square trinomial, two terms will be perfect squares.

Option B) (7x+4)(7x+4) is correct

The product result in a perfect square trinomial is

$(7x+4)(7x+4)=49x^2+56x+14$

6 0

2 years ago

Read 2 more answers

What is the numerator of the simplified sum? StartFraction x Over x squared + 3 x + 2 EndFraction + StartFraction 3 Over x + 1 E

ozzi

Answer:

4x + 6

Step-by-step explanation:

Given