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kompoz [17]
3 years ago
7

Alan is comparing the cost of a fresh lobster dinner at two different restaurants. The first

Mathematics
1 answer:
Pepsi [2]3 years ago
4 0

Good evening ,

Answer:

The weight : 29 pound

Alan would pay for his dinner : $130

Step-by-step explanation:

Let x represent the weight of the lobster

the cost of the dinner at restaurant 1 is 4x + 14  

the cost of the dinner at restaurant 2 is 3x + 43

Now ,we have to solve the equation :  4x + 14 = 3x + 43

4x + 14 = 3x + 43

⇔ x = 43 - 14

⇔ x = 29

In this case Alan would pay the same amount for his dinner at any restaurant:

the price = 4×(29)+14 = 130

               = 3×(29)+43 = 130.

:)

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Which scenario can the following graph describe? A)the total time a kite is up in the air as it goes up for a little bit ,comes
Vadim26 [7]

Answer:

Option C is the correct answer.

Step-by-step explanation:

We are given,

<em>A graph where the function first increases and then decreases to touch the x-axis and the increases.</em>

It is required to find the corresponding situations.

So, from the options we have that,

The graph represents the speed of a vehicle which first increases (as it accelerates), then decreases (slows down) and then touch the x-axis (stops at the light) and then increases (accelerates on the ramp for a freeway).

Hence, option C is scenario that the graph describes.

4 0
3 years ago
Question 4 (1 point)
Nostrana [21]

Answer:

The ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

Step-by-step explanation:

Height of a mountain, h = 90 feet

Upward velocity of a ball, u = 64 ft/s

Its height as a function of time can be written by using the second equation of motion as follows :

f(x) = -16t^2 + 64t + 960 .....(1)

When it will hit the ground, f(x) = 0

-16t^2 + 64t + 960=0\\\\16(-t^2+4t+60)=0\\\\-t^2+4t+60=0

It is quadratic equation.

t = -6 s and t = 10 s

Neglecting -6 seconds, the ball will hit the ground at 10 seconds.

For maximum height,

Put f'(x) = 0

-32t+64=0\\\\\\t=\dfrac{64}{32}\\\\t=2\ s

Put t = 2 in equation (1)

f(2) = -16(2)^2 + 64(2) + 960\\\\=1024\ \text{feet}

Hence, the ball will hit the ground at 10 seconds and its maximum height is 1024 feet.

5 0
2 years ago
PLZZZZZZZZZZZZZZ HELP I WILL GIVE BRAINLIEST TO THE FIRST TO ANSWER
Zolol [24]

Answer:

B

Step-by-step explanation:

-(-a)/b = a/b

Option A is not equal to a/b

But Option B is, after cancelling out the negative sign

4 0
3 years ago
Read 2 more answers
If A + B = 2X -2 and A -B equals 4X -8, find A and B
Keith_Richards [23]
A=3X-3
B=-X+3
If A+B=2X-2, then using equalivant exchange A=2X-2-B and
B=2X-2-A
If A-B=4X-8, then A=4X-8+B and -B=4X-8-A(or B=-4X+8+A)
Since A equals both 2x-2-B and 4X-8+B we can add both equations to equal 2A=6X-6 now we devide that by 2 to get
A=3X-3
Do the exact same for B, so b equals both 2X-2-A and -4X+8+A
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8 0
3 years ago
Find the 110th term of the following sequence.<br> 6, 12, 18 ...
serg [7]

Answer:

660

Step-by-step explanation:

6×110=660

(Hopefully this answers your question)

4 0
3 years ago
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