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3 years ago

Find the equation of the exponential function represented by the table below

Mathematics

1 answer:

Gennadij [26K]3 years ago

4 0

Answer:

y = 3^(1 + x)

Step-by-step explanation:

Notice that each time x increases by 1, y increases by a factor of 3.

Thus, the required equation has the form y = 3^x.

Check: If x = 0, do we get 3? No. Therefore we must modify the exponent:

y = 3^(1 + x)

Check: If x = 0, do we get 3? 3^(1 + 0) = 3 (correct)

If x = 2, do we get 27? 3(1 + 2) = 3^3 + 27 (correct)

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Which of the following is a specific species designation

Nutka1998 [239]

Sapien because the word homo in homo sapien is the genus name, while the word sapien is the species name.

5 0

3 years ago

Hi Can you please help me

dimaraw [331]

Answer:

x = 68°

Explanation:

given ∠CBE = 22°
∠ABD is parallel to ∠CBE, thus has same angle of 22°
∠ADB is right angle and thus has 90° angle.
total sum of interior angles in triangle is 180°

We can find x by:

x + 90° + 22° = 180°

x + 112° = 180°

x = 180°- 112°

x = 68°

5 0

3 years ago

Read 2 more answers

Write an equation that is parallel to the line 2x - 3y = 9 and passes through the point (4, -1).

insens350 [35]

Answer: $y = \frac{2x}{3} - \frac{11}{3}$

Step-by-step explanation:

Equation of the line given ;

$2x - 3y = 9$

To find the slope of the line we will make y the subject of formula , that is

$3y = 2x - 9$

$y = \frac{2x}{3}-3$

Therefore ; the slope = $\frac{2}{3}$

Two lines are said to be parallel if they have the same slope

This means that the slope of the second line = $\frac{2}{3}$

Using the formula $y-y_{1}= m ( x - x_{1} )$ to find the equation of the line , we have

$y - (-1 ) = \frac{2}{3} (x - 4 )$

$y + 1 = \frac{2x}{3} -\frac{2}{3}(4)$

$y + 1 = \frac{2x}{3} - \frac{8}{3}$

$y = \frac{2x}{3}- \frac{8}{3} - 1$

$y = \frac{2x}{3} - \frac{11}{3}$

7 0

3 years ago

FOR 20 POINTS: <br> What expression is represented in the model shown below?

Ivahew [28]

Answer:

I can't see the picture

Step-by-step explanation:

6 0

3 years ago

Please help!!!! Sine and cosine ratios

Kipish [7]

Answer: 40.9

Step-by-step explanation:

Given

angle given is $23^{\circ}$

$RC=16$

Using trigonometry

$\Rightarrow \sin 23^{\circ}=\dfrac{RC}{PC}\\\\\Rightarrow \sin 23^{\circ}=\dfrac{16}{X}\\\\\Rightarrow X=\dfrac{16}{\sin 23^{\circ}}\\\\\Rightarrow X=40.948\approx 40.9$

Using cosine formula

$\Rightarrow \cos 23^{\circ}=\dfrac{PR}{X}\\\\\Rightarrow PR=40.9\times \cos 23^{\circ}\\\Rightarrow PR=37.69\approx 37.7$

8 0

3 years ago