Finn imagines 1 more row of nines to find the total area of 9 * 9 rectangle. explain how this could help him solve 9 * 9

a. Rewrite the equation in exponential form.b. Create a table of coordinates, using the exponential form from part (a). Begin by

Bond [772]

Gven

The lograthmic function, lograthmic fu

$y=\log_4x$

To find:

a) Rewrite the function in exponential form.

b) For each given value of y, find the value of x to complete the ordered pair.

c) The graph of the function.

Explanation:

It is given that,

$y=\log_4x$

a) Since,

It is known that,

$\begin{gathered} y=\log_ax \\ \Rightarrow x=a^y \end{gathered}$

Then,

$x=4^y$

Hence, the exponential form of the function is,

$x=4^y$

b) Also,

For y = -2,.

The value of x is given by,

$\begin{gathered} \\ \Rightarrow x=4^{-2} \\ \Rightarrow x=\frac{1}{4^2} \\ \Rightarrow x=\frac{1}{16} \end{gathered}$

Hence, the ordered pair is (1/16, -2).

For y = -1,

$\begin{gathered} x=4^{-1} \\ x=\frac{1}{4} \end{gathered}$

Hence, the ordered pair is (1/4, -1).

For y = 0,

$\begin{gathered} x=4^0 \\ x=1 \end{gathered}$

Hence, the ordered pair is (1, 0).

For y = 1,

$\begin{gathered} x=4^1 \\ x=4 \end{gathered}$

Hence, the ordered pair is (4, 1).

For y = 2,

$\begin{gathered} x=4^2 \\ x=16 \end{gathered}$

Hence, the ordered pair is (16, 2).

c) Also, the graph of the given function is,

7 0

1 year ago

The last question 4. Is 1.5 56ft PLZ HELP GOD BLESS U AND UR GRades

Contact [7]

Answer: First option.

Step-by-step explanation:

You know that the following function model the height "h" of the ball (in feet) after a time "t" (in seconds):

$h=-16t^2+48t+8$

Notice that it is a Quadratic function, therefore, it is a parabola.

Then, the x-coordinate of its vertex will give you the time in seconds in which the balll reaches its maximum height and the y-coordinate of the vertex will give you the ball's maximum height.

You can find the x-coordinate of the vertex with this formula:

$x=t=\frac{-b}{2a}$

You can identify that:

$a=-16\\b=48$

Substituting values, you get:

$x=t=\frac{-48}{2(-16)}=1.5$

FInally, you must substiute this value into the Quadratic function and then evaluate in order to find the ball's maximum height.

This is:

$h=-16(1.5)^2+48(1.5)+8=44$

5 0

3 years ago

PLEASE I NEED HELP FAST WILL MARK BRAINLIEST

Mandarinka [93]

Answer:

X²-4x-5

5-×1=5-

5-1=4

so the Values 5 and 1

x²-x-2

2×1=2

2-1=1

the values is 2 and 1

(x-2)×(x+1)

so

x-5/(x-5)×(x+1)=2x-5/(x-2)×(x+1)

1=2x-5/x-2

x-2=2x-5

x=3

hopefully its helpful and correct

7 0

3 years ago

Write 0.735353535 as a decimal

mario62 [17]

0.735353535 is already a decimal.

Example:

To get the decimal you have to divide the numerator by the denominator of a fraction to get the decimal and 0.735353535 isn't a fraction.

Answer:

0.735353535

4 0

3 years ago

Q and D are points on a polygon. Q' D' are points of the polygon under a translation. Determine the translation. Write your answ

suter [353]

Answer:

The translation is (5, -6)

Step-by-step explanation:

If the point (x, y) translated h unit right and k unit up, then its image is (x + h, y + k) and the translation is (h, k)

If the point (x, y) translated h unit left and k unit up, then its image is (x - h, y + k) and the translation is (-h, k)

If the point (x, y) translated h unit right and k unit down, then its image is (x + h, y - k) and the translation is (h, -k)

If the point (x, y) translated h unit left and k unit down, then its image is (x - h, y - k) and the translation is (-h, -k)

Let us solve the question

∵ The coordinates of point Q are (4, 5)

∴ x = 4 and y = 5

∵ The coordinates of point Q' are (9, -1)

∴ x' = 9 and y' = -1

→ That means x increased and y decreased ⇒ 3rd case above

∴ The point Q is moved to the right and down

→ By using the 3rd rule above ⇒ (x + h, y - k)

∵ x + h = 9

∵ x = 4

→ Substitute x by 4

∴ 4 + h = 9

→ Subtract 4 from both sides

∵ 4 - 4 + h = 9 - 4

∴ h = 5

∵ y - k = -1

∵ y = 5

→ Substitute y by 5

∴ 5 - k = -1

→ Subtract 5 from both sides

∵ 5 - 5 - k = -1 - 5

∴ -k = -6

→ Divide both sides by -1

∴ k = 6

∵ The translation is (h, -k) in the 3rd case

∵ h = 5 and k = 6

∴ The translation is (5, -6)

<em>We can check the rule by finding D' the image of the point D</em>

∵ D = (-5, -2)

∵ D' = (x + h, y - k)

∵ D' = (-5 + 5, -2 - 6)

∴ D' = (0, -8) as the given point D'

∴ The translation is correct

8 0

2 years ago