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Leviafan [203]
3 years ago
13

What is the value of x? Enter your answer in the box. x = ​​

Mathematics
1 answer:
Firdavs [7]3 years ago
7 0

Answer:

5

Step-by-step explanation:

This means that 9/(2x-1)=15/(3x), so 27x=30x-15. This means that 3x=15, so x=5.

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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.
NeX [460]
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

3 0
3 years ago
Read 2 more answers
suppose a parabola has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1). Write the eq
lesya [120]

Answer:

<h3>            f(x) = - 3(x + 8)² + 2</h3>

Step-by-step explanation:

f(x) = a(x - h)² + k   - the vertex form of the quadratic function with vertex    (h, k)

the<u> axis of symmetry</u> at<u> x = -8</u> means h = -8

the <u>maximum height of 2</u> means  k = 2

So:

f(x) = a(x - (-8))² + 2

f(x) = a(x + 8)² + 2   - the vertex form of the quadratic function with vertex   (-8, 2)

The parabola passing through the point (-7, -1) means that if x = -7 then        f(x) = -1

so:

    -1 = a(-7 + 8)² + 2

 -1 -2 = a(1)² + 2 -2

      -3 = a

Threfore:

The vertex form of the parabola which has an axis of symmetry at x = -8, a maximum height of 2, and passes through the point (-7, -1) is:

                                 <u>f(x) = -3(x + 8)² + 2</u>

8 0
3 years ago
You earn $0.85 for every cup of hot chocolate you sell how many cups do u need to sell to earn $5.25
Sauron [17]

5.25 / .85 you would get 6.17~ but you cant sell 1/4th a cup, so you have to round up, making it 7 cups.

8 0
3 years ago
HELP QUICK PLEASE 15 points!!!
Reil [10]

Answer:

I think the ans is option 'a'

Final Answer:

Corresponding Angles Theorum; ∠AGF and ∠EHD are congruent

3 0
3 years ago
HELP PLEASE CROWN THAN TO PEOPLE Should ANSWER
Slav-nsk [51]

Answer:

I cant see the picture

Step-by-step explanation:

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