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konstantin123 [22]
3 years ago
6

Which graph represents the parametric equations x = 1 – t2 and y = 2t, where 0 ≤ t ≤ 5?

Mathematics
2 answers:
skad [1K]3 years ago
6 0

Answer:

see image below

Step-by-step explanation:

OlgaM077 [116]3 years ago
3 0

Answer:

Graph A on Edge

Step-by-step explanation:

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Will mark brainliest and rate 5/5 if question is answered right.
Roman55 [17]

Answer:

a) A = 36π in² ≈ 113.09 in²

b)  $0.98 per slice

c) $0.09 per square inch

Step-by-step explanation:

a) area = πr²

    r= diameter/2 = 12/2 = 6

    A = π(6)²

    A = 36π in² ≈ 113.09 in²

b) s = price per slice

   s = 9.75 ÷ 10

   s = $0.975 ≈ $0.98

c) price per square inch = price ÷ area

   = 9.75 ÷ 113.09

   = $0.086 ≈ $0.09 per square inch

4 0
3 years ago
Find the inverse of the given function.<br><br> f(x) = -1/2√x + 3, x ≥ -3
inna [77]
<span>Find the inverse of the given function.

f(x) = -1/2√x + 3, x ≥ -3

I will have to assume that you meant f(x) = -(1/2)sqrt(x) + 3.  If you actually meant f(x) = -(1/2)sqrt(x+3), then obviously the correct result would be different.

1.  Replace "f(x)" by "y:"  y </span>= -(1/2)sqrt(x) + 3
 2.  Interchange x and y:  x = -(1/2)sqrt(y) + 3
3.  Solve for y:  x-3=-(1/2)sqrt(y), so that 2(3-x)= sqrt(y) and y=+sqrt(2[3-x])
4.  Replace "y" with 

           -1
        f      (x) = sqrt(2[3-x])

Here, there are restrictions on x, since the domain of the sqrt function does not include - numbers.  The domain here is (-infinity,3]
4 0
3 years ago
Read 2 more answers
Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)
Lisa [10]

Answer:

f(x) = 4x^2 - 3x + 6

Step-by-step explanation:

Quadratic function is given as f(x) = ax^2 + bx + c

Let's find a, b and c:

Substituting (0, 6):

6 = a(0)^2 + b(0) + c

6 = 0 + 0 + c

c = 6

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

f(x) = ax^2 + bx + c

16 = a(2)^2 + b(2) + 6

16 = 4a + 2b + 6

16 - 6 = 4a + 2b + 6 - 6

10 = 4a + 2b

10 = 2(2a + b)

\frac{10}{2} = \frac{2(2a + b)}{2}

5 = 2a + b

2a + b = 5 => (Equation 1)

Substituting (3, 33), and c = 6

f(x) = ax^2 + bx + x

33 = a(3)^2 + b(3) + 6

33 = 9a + 3b + 6

33 - 6 = 9a + 3b + 6 - 6

27 = 9a + 3b

27 = 3(3a + b)

\frac{27}{3} = \frac{3(3a + b)}{3}

9 = 3a + b

3a + b = 9 => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

3a + b = 9

2a + b = 5

a = 4

Replace a with 4 in equation 2.

2a + b = 5

2(4) + b = 5

8 + b = 5

8 + b - 8 = 5 - 8

b = -3

The quadratic function that represents the given 3 points would be as follows:

f(x) = ax^2 + bx + c

f(x) = (4)x^2 + (-3)x + 6

f(x) = 4x^2 - 3x + 6

6 0
3 years ago
Maria walked 3 km west and 4 km south calculate how far she is from her starting point.
Rufina [12.5K]

Answer:

5 km

Step-by-step explanation:

We are given the distances walked by Maria;

  • 3 km west and 4 km south

We are required to determine the displacement from her starting point;

  • We are going to use Pythagoras's theorem;

a² + b² = c²

Taking, the distances towards south and towards west as the legs of the triangle;

Then, c² = 3² + 4²

               = 25

         c  = √25

            = 5 km

Therefore, the displacement from the starting point is 5 km

8 0
3 years ago
Last year, your salary was $33,975. This year, your boss tells you your salary will be $34,960. What percent raise (change) did
Pavlova-9 [17]

Answer:

2.9%

Step-by-step explanation:

5 0
3 years ago
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