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Dvinal [7]
3 years ago
5

A tunnel is in the shape of a parabola. The maximum height is 16 m and it is 16 m wide at the base, as shown below.

Mathematics
2 answers:
deff fn [24]3 years ago
7 0
The basic formula of a parabola is;

y -k= 4a (x-h)^2

Solving for this, the vertical clearance 7m forom the edge of the tunnel must be

15.7m

Hope this helps! Goodluck!

NeX [460]3 years ago
3 0
Vertex at the origin and opening down → y=ax^2
Width: w=16
x=w/2→x=16/2→x=8
x=8, y=-16→y=ax^2→-16=a(8)^2→-16=a(64)→-16/64=a(64)/64→-1/4=a→a=-1/4

y=ax^2→y=-(1/4)x^2

7 m from the edge of the tunnel → x=w/2-7=8 m-7 m→x=1 m
x=1→y=-(1/4)x^2=-(1/4)(1)^2=-(1/4)(1)→y=-1/4

Vertical clearance: 16-1/4=16-0.25→Vertical clearance=15.75 m

Please, see the attached file.

Answer: Third option 15.75 m

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how many pounds of candy worth $12 per pound should be mixed with candy costing $19 per pound to produce a 70 pound mixture that
sweet-ann [11.9K]

Answer:

40 pounds

Step-by-step explanation:

Given: Cost of a candy (c_1)= \$ 12 per pound

           Cost of candy (c_2) = \$ 19\ per\ pound

           Total amount of mixture of be produced = 70\ pound

           Selling price of mixture = \$ 15 \ per\ pound

Let´s x be the amount of c_1 to be mixed in the mixture.

∴ Cost of c_1 in the mixture = 12x

Next, Cost of c_2 in the mixture = (70 - x)\times 19

And we know the cost of final mixture = 70 \times 15 = 1050

Now, putting all the value in the equation

⇒ 12x + 19 \times (70 - x) = 1050

⇒ 1330 - 7x = 1050

⇒ -7x = -280

∴ x = 40\ pound

∴ 40 pounds of candy worth $12 per pound to be mixed in the mixture.

6 0
3 years ago
With or without tiles simplify and solve each equation below for x. record your work. a.3x-7=2
AfilCa [17]

Answer:

<u>x=3</u>

Step-by-step explanation:

Addition property of equality is adding the same number to both sides of an equation does not change the equation.

a+c=b+c

3x-7=2

add 7 both sides of an equation.

3x-7+7=2+7

simplify.

3x=9

divide by 3 both sides of an equation.

3x/3=9/3

simplify.

9/3=3

3*3=9

9/3=3

<u>x=3 and 3=x</u>

Hope this helps!

Thanks!

7 0
3 years ago
Helpppppppppppppppppp pleaseeeeeeeeeeee!!!!!!!!!!!!!!!
Dmitry_Shevchenko [17]

Answer:

A

Step-by-step explanation:

I did the math (:

Good luck

3 0
2 years ago
Determine the best method to solve the system of equations. Then solve the system.
maxonik [38]

Answer:

x=1  y = -1/2

(1,-1/2)

Step-by-step explanation:

7x-2y=8  

5x+2y=4

I would use elimination since we have 2y in one equation and -2y in the other

7x-2y=8  

5x+2y=4

--------------------

12x = 12

Divide each side by 12

12x/12 = 12/12

x =1

The substitute back into equation 2

5(1) +2y = 4

5 +2y = 4

Subtract 5

5-5+2y = 4-5

2y = -1

Divide by 2

2y/2 = -1/2

y = -1/2

8 0
3 years ago
Read 2 more answers
2x+2(1960/x)=200 please help for math hw
sp2606 [1]

Two solutions:

1. x =(100-√2160)/2=50-6√ 15 = 26.762

2. x =(100+√2160)/2=50+6√ 15 = 73.238

3 0
3 years ago
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