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2 years ago

Hi help please i’m not sure how to do this and its due soon

Mathematics

1 answer:

strojnjashka [21]2 years ago

4 0

Answer:

slope = $\frac{2}{7}$

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = $\frac{2}{7}$ x + $\frac{3}{4}$ ← is in slope- intercept form

with slope m = $\frac{2}{7}$

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Find the 14th term of the geometric sequence 5,-10,20

tamaranim1 [39]

In this specific case, the initial term (a) is 5 and the common ratio (r) is -2

Henceforth, after determining what a and r are, we use the formula for the nth term. Which is:

$a_n = a \times r^{n-1}$

Therefore, the 14th term is :

$\implies 5 \times { (- 2)}^{14 - 1} \\\implies 5 \times {( - 2)}^{13} \\ =\boxed { -40,960}$

Hope it helps!

7 0

1 year ago

Which of the following notations correctly describe the end behavior of the polynomial graph below?

ipn [44]

The end behaviour of the polynomial graph is (b) x ⇒ +∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ -∝

<h3>How to determine the end behaviour of the polynomial graph?</h3>

The polynomial graph represents the given parameter

This polynomial graph is a quadratic function opened downwards

Polynomial function of this form have the following end behaviour:

As x increases, f(x) decreases
As x decreases, f(x) decreases

This is represented as

x ⇒ +∝, f(x) ⇒ -∝ and x ⇒ -∝, f(x) ⇒ -∝

Hence, the end behaviour is (b)

Read more about end behaviour at

brainly.com/question/1365136

#SPJ1

7 0

11 months ago

A line of best fit can be established with which of the following? Select all that apply.

garri49 [273]

Line of best fit also known as a linear regression or a trend line, the line of best fit is common tool for showing how two variables are related.This can be established by:
Positive correlation
all scatter plots
negative correlation
Line of best fit is used in order to demonstrate any observed trends in order to predict future outcomes regarding the data point variable in use.

6 0

2 years ago

Angle f and angle G are complementary. The measure angle f is four times the measure of angle G. What is the measure of each ang

elena55 [62]

Complementary means they add to 90°

f=90-g

f=4g

4g =90-g

5g=90

g=18

f=4g=4(18)=72

Answer: f=72°, g=18°

4 0

3 years ago

Given the sequence 1/2 ; 4 ; 1/4 ; 7 ; 1/8 ; 10;.. calculate the sum of 50 terms

miv72 [106K]

Hint :-

Break the given sequence into two parts .
Notice the terms at gap of one term beginning from the first term .They are like $\dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ . Next term is obtained by multiplying half to the previous term .
Notice the terms beginning from 2nd term , $4,7,10,13$ . Next term is obtained by adding 3 to the previous term .

Solution :- 

We need to find out the sum of 50 terms of the given sequence . After splitting the given sequence ,

$\implies S_1 = \dfrac{1}{2},\dfrac{1}{4},\dfrac{1}{8}$ .

We can see that this is in Geometric Progression where 1/2 is the common ratio . Calculating the sum of 25 terms , we have ,

$\implies S_1 = a\dfrac{1-r^n}{1-r} \\\\\implies S_1 = \dfrac{1}{2}\left[ \dfrac{1-\bigg(\dfrac{1}{2}\bigg)^{25}}{1-\dfrac{1}{2}}\right]$

Notice the term $\dfrac{1}{2^{25}}$ will be too small , so we can neglect it and take its approximation as 0 .

$\implies S_1\approx \cancel{ \dfrac{1}{2} } \left[ \dfrac{1-0}{\cancel{\dfrac{1}{2} }}\right]$

$\\\implies \boxed{ S_1 \approx 1 }$

$\rule{200}2$

Now the second sequence is in Arithmetic Progression , with common difference = 3 .

$\implies S_2=\dfrac{n}{2}[2a + (n-1)d]$

Substitute ,

$\implies S_2=\dfrac{25}{2}[2(4) + (25-1)3] =\boxed{ 908}$

Hence sum = 908 + 1 = 909

7 0

2 years ago