What's the correct answer

The point (6, 6) is on the graph y = f(x) . Find the corresponding coordinates of this point on the graph y = 4f[1/3x +9] -7

miss Akunina [59]

Answer:

Correct answer is:

a. (-9,17)

Step-by-step explanation:

We are given that a point (6, 6) lies on the graph of $y =f(x)$ .

Putting the values from the given point:

$6 =f(6)$

That means we are given that $f(6) =6$ ..... (1)

And we have to find the corresponding coordinates of this point on the graph of $y = 4f[\frac{1}3x +9] -7$

From equation (1), we know the value of $f(6)$ .

so, let us convert $f[\frac{1}3x +9]$ to a form such that it becomes equal to $f(6)$

$\Rightarrow \dfrac{1}{3}x +9 =6\\\Rightarrow \dfrac{1}{3}x=-3\\\Rightarrow x = -9$

So, let us put $x = -9$ in the given function:

$4f[\frac{1}3\times (-9) +9] -7\\\Rightarrow 4f[-3 +9] -7\\\Rightarrow 4f(6) -7$

Now, using equation (1), putting $f(6)=6$

$\Rightarrow 4\times 6 -7\\\Rightarrow 24-7 \\\Rightarrow y = 17$

Therefore, the point the corresponding point is:

a. (-9,17)

8 0

4 years ago

Thomas went for a long hike and burned 657 calories in 2 1/2 hours. Marvin decided to go for a bike ride and burned 1,035 calori

SVEN [57.7K]

Answer:Marvin burned more calories per hour.

Step-by-step explanation:

Thomas went for a long hike and burned 657 calories in 2 1/2 hours. Converting 2 1/2 hours to improper fraction, it becomes 5/2 hours

This means that the amount of calories that Thomas burnt in 1 hour would be 657 × 2/5 = 262.8 calories per hour

Marvin decided to go for a bike ride and burned 1,035 calories in 3 1/4 hours. Converting 3 1/4 hours to improper fraction, it becomes 13/4 hours

This means that the amount of calories that Thomas burnt in 1 hour would be 1035 × 13/4 = 3363.75 calories per hour

Therefore, Marvin burns more calories per hour.

3 0

3 years ago

For what interval is the value of (f – g)(x) negative?

mrs_skeptik [129]

Complete question:

Refer the attached diagram

Answer:

In reference to the attached figure, (-∞, 2) is the value where (f-g) (x) negative.

Step-by-step explanation:

From the attached figure, it shows that given data:

f (x) = x – 3

g (x) = - 0.5 x

To Find: At what interval the value of (f-g) (x) negative

So, first we need to calculate the (f-g) (x)

(f – g ) (x) = f (x) – g (x) = x-3 - (- 0.5 x)

⇒ (f - g) (x) =1.5 x - 3

Now we are supposed to find the interval for which (f-g) (x) is negative.

⇒ (f - g) (x) = x - 3+ 0.5 x = 1.5 x – 3 < 0

⇒ 1.5 x – 3 < 0

⇒ 1.5 x < 3

⇒ $x$

⇒ x < 2

Thus for (f - g) (x) negative x must be less than 2. Thereby, the interval is (-∞, 2). Function is negative when graph line lies below the x - axis.

7 0

3 years ago

In an examination

aleksandr82 [10.1K]

Answer:

7 candidates passed maths only

6 candidates passed physics only

23 students sat in examination

Step-by-step explanation:

5 0

2 years ago

1 + 4 = 5 2 + 5 = 12 3 + 6 = 21 8 + 11 = ?

Finger [1]

8 + 11 = 19
The answer is 19

4 0

3 years ago