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3 years ago

Write a function rule for the following geometric sequence.

Mathematics

1 answer:

Natasha2012 [34]3 years ago

3 0

I think it f(x) = 3x + 4 if I am wrong I am so so sorry have a great day.

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Evaluate the following expression for w=4. w^-3 =

slega [8]

W^-3
(4)^-3 = 1/(4)^3
1/64.

The solution is 1/64.

6 0

3 years ago

Can someone help? Thanks! :)

sukhopar [10]

Answer:

The second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )

Step-by-step explanation:

We can't confirm the length of these diagonals based on the appearance of the figure, so let us apply Pythagorean Theorem;

This diagonal divides each figure ( square + rectangle ) into two congruent, right angle triangles ⇒ from which we may apply Pythagorean Theorem, where the diagonal acts as the hypotenuse;

5^2 + 5^2 = x^2 ⇒ x is the length of the diagonal,

25 + 25 = x^2,

x^2 = 50,

x = √50

Now the same procedure can be applied to this other quadrilateral;

3^2 + 7^2 = x^2 ⇒ x is the length of the diagonal,

9 + 49 = x^2,

x^2 = 58,

x = √58

Therefore the second figure ( rectangle ) has a longer length of it's diagonal comparative to the first figure ( square )

5 0

3 years ago

helloo , i need help with this problem it says write this number (797,000,000,000+ 619,000,000+132)in standard form, please h

inysia [295]

Okay its 797,619,000,132

They all have different place values

4 0

2 years ago

Write the equation of the line passing through the points (-4,-1) and (2,8)

klio [65]

<h3>Explanation:</h3>

Calculate the slope with two given coordinate points by using rise over run.

$m = \frac{y_2 - y_1}{x_2 - x_1}$

Let these points

$\begin{cases}(x_1, y_1) = ( - 4, - 1) \\ (x_2, y_2) = ( 2, 8) \end{cases}$

$m = \frac{8 - ( - 1)}{2 - ( - 4)} \\ m = \frac{8 + 1}{2 + 4} \Longrightarrow \frac{9}{6} \Longrightarrow \frac{3}{2} \\ m = \frac{3}{2}$

Slope-Intercept

$y = mx + b \\ m = slope \\ b = y - intercept$

Substitute the value of m in the equation.

$y = \frac{3}{2} x + b$

Substitute any coordinate points that are given or part of the graph in the equation.

$(x_, y) = ( - 4, - 1)$

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

Solve the equation for b-term.

$- 1 = \frac{3}{ \cancel{2}} ( \cancel{ - 4}) + b\\ - 1 = 3( - 2) + b \\ - 1 = - 6 + b \\ - 1 + 6 = b \\ 5 = b$

Rewrite the equation by substituting the value of b in the equation.

$y = \frac{3}{2} x + 5$

<h3>Answer</h3>

$\large \boxed{y = \frac{3}{2} x + 5}$

If you have any questions related to the answer, feel free to ask via comment.

7 0

3 years ago

Write a rule for the linear function in the graph.

labwork [276]

3=4m+ b
-1=3m+b

m=4
plug in to either equation,
3=16+ b
b=-13

Thus, C would be the answer.

6 0

3 years ago

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