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Maru [420]
3 years ago
9

At the peak of a roller coaster ride, the rider's watch flew off his wrist. The height h in feet of the watch, t seconds after h

e lost it, is given by y= -16x^2 + 32x + 48. How many seconds did it hit the ground?​
Mathematics
2 answers:
enot [183]3 years ago
7 0

Answer:

Step-by-step explanation:

You can't do anything but substitute for h and t in this question.

t = x

y = h

h = -16t^2 + 32t + 48

This is not a calculus course I don't think, so this is your answer.

defon3 years ago
6 0

Answer:

3 \: s

Step-by-step explanation:

y =  - 16 {x}^{2}  + 32x + 48 \\ 0 =  \frac{ - 16 {x}^{2} + 32x + 48 }{ - 16}  \\0  =  {x}^{2}   - 2x - 3 \\   0= {x}^{2}  - 3x + x - 3 \\  0= x(x - 3)  + 1(x - 3) \\0  = (x + 1)(x - 3) \\  \\ x + 1 = 0  \\ x =  - 1 \\ x - 3 = 0 \\ x = 3

Hope this helps you.

<em>Can</em><em> </em><em>I</em><em> </em><em>have</em><em> </em><em>the</em><em> </em><em>brainliest</em><em> </em><em>please</em><em>?</em>

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Suppose has a solution. Explain why the solution is unique precisely when has only the trivial solution. Choose the correct answ
Margarita [4]

Complete question is;

Suppose Ax = b has a solution. Explain why the solution is unique precisely when Ax = 0 has only the trivial solution. Choose the correct answer.

A. Since Ax = b is inconsistent, its solution set is obtained by translating the solution set of Ax = 0. For Ax = b to be inconsistent, Ax = 0 has only the trivial solution.

B. Since Ax = b is consistent, its solution set is obtained by translating the solution set of Ax = 0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax = 0 is a single vector, and that happens if and only if Ax = 0 has only the trivial solution.

C. Since Ax = b is inconsistent, then the solution set of Ax = 0 is also inconsistent. The solution set of Ax = 0 is inconsistent if and only if Ax = 0 has only the trivial solution.

D. Since Ax = b is consistent, then the solution is unique if and only if there is at least one free variable in the corresponding system of equations. This happens if and only if the equation Ax = 0 has only the trivial solution.

Answer:

Option B: Since Ax = b is consistent, its solution set is obtained by translating the solution set of Ax = 0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax = 0 is a single vector, and that happens if and only if Ax = 0 has only the trivial solution

Step-by-step explanation:

There are different ways of explaining this but we will explain it algebraic ally.

If Ax = b has a solution, then it can be said to be unique if and only if every column of A will be a pivot column. Now, If every column of A will be a pivot column, then it means that there are no free variables, and thus the homogeneous equation will have only the trivial solution.

Also homogeneous equations are always constant.

Thus the correct option is Option B: Since Ax = b is consistent, its solution set is obtained by translating the solution set of Ax = 0. So the solution set of Ax = b is a single vector if and only if the solution set of Ax = 0 is a single vector, and that happens if and only if Ax = 0 has only the trivial solution

5 0
3 years ago
5) A student is given a metal sphere about the size of a softball and asked to identify what type of
Evgen [1.6K]

Answer :

Answer: Radius of a solid aluminium sphere is 3.67 cm.

Step-by-step explanation:

4/3 · 2.57³ π · 7,860 = 4/3 · r³ π · 2,700  / : 4/3 π

2.57³ · 7860 = r³ · 2,700

r³ = 2.57³ · ( 7,860 : 2.700 ) = 2.57³ · 2.911111...    /∛

r ≈ 2.57 · 1.428 = 3.67 cm

5 0
2 years ago
Work out (4.2×107)÷(7×104)Give your answer in standard form. Work out (4.2×107)÷(7×104)Give your answer in standard form.
professor190 [17]

Answer:

6 * 10^2

Step-by-step explanation:

Simplify : (4.2×10^7)÷(7×10^4)

(4.2 × 10^7) / (7 × 10^4)

From indices : 10^a ÷ 10^b = 10^(a - b)

(4.2 / 7) * 10^(7-4)

0.6 * 10^3

= 6 * 10^2

Hence, (4.2×10^7)÷(7×10^4) = 6 * 10^2

6 0
3 years ago
(1)Kamlesh brought a juice bottle of 5 litres. He drank 214 litres
Ainat [17]

Answer:

I think there is a typing error it should be 214 ml

Step-by-step explanation:

1 litre = 1000 ml

5 litre= 5000ml

5000- 214= 4786

hope it helps :)

5 0
2 years ago
Tyree and four friends go to the movies. Each person buys a movie ticket for $7, a snack for $5, and a drink for $2. Write an ex
Mandarinka [93]

Answer:

Tyree and all of his friends get 1 ticket for $7. Next they all get 1 snack for $5. Then they all get a drink for $2. So:

1=7

1=5

1=2

Then you take each person (which there are five of then) and you times all five people by 7, 5, 2.

5 x 7=35

5 x 5=25

5 x 2=10

After that you add it all together:

35 plus 25=60

60 plus 10=70

Step-by-step explanation:

your welcome

4 0
3 years ago
Read 2 more answers
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