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3 years ago

Variable y varies directly with variable x, and y = 6 when x = 20.

Mathematics

1 answer:

-BARSIC- [3]3 years ago

7 0

In a direct proportion, the equation can be set up as
y = kx
k = y/x
k = 6/20
k = 0.3

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Given a polynomial function f(x) = 2x2 – 3x + 5 and an exponential function g(x) = 2% – 5, what key features do f(x) and g(x) ha

prohojiy [21]

A. Both $f(x)$ and $g(x)$ have the same domain of $(9, +\infty)$ .

<h3>How to analyze similarities in two functions</h3>

In this question we must analyze the domain, range, x-intercepts and increase intervals:

<h3>Domain</h3>

$Dom \{f(x)\} = \mathbb{R}$

$Dom \{g(x)\} = \mathbb{R}$

Both functions are continuous.

<h3>Range</h3>

$Ran \left\{f(x)\right\} = (3.875, +\infty)$

$Ran \{g(x)\} = (-5, +\infty)$

<h3>x-Intercepts</h3>

$f(x):$ $(x,y) = \emptyset$

$g(x):$ $(x,y) = (2.322, 0)$

<h3>Increase intervals</h3>

$f(x):$ According to the graph, $f(x)$ increase over the interval of $(3.875, + \infty)$ .

$g(x) :$ According to the graph, $g(x)$ increase over the interval of $\mathbb{R}$

After a quick analysis, we conclude that option A offer the best approximation to characteristics of both functions. $\blacksquare$

<h3>Remark</h3>

The statement presents mistakes and is poorly formatted. Correct form is:

Given a polynomial function $f(x) = 2\cdot x^{2}-3\cdot x + 5$ and an exponential function $g(x) = 2^{x}-5$ . What key features do $f(x)$ and $g(x)$ have in common?

A. Both $f(x)$ and $g(x)$ have the same domain of $(9, +\infty)$ .

B. Both $f(x)$ and $g(x)$ have the same range of $(-\infty, 0]$ .

C. Both $f(x)$ and $g(x)$ have the same x-intercept of $(2,0)$ .

D. Both $f(x)$ and $g(x)$ increase over the interval of $(-4, +\infty)$ .

To learn more on functions, we kindly invite to check this verified question: brainly.com/question/5245372

4 0

2 years ago

Solve: 2.5k+47.4=81.9

belka [17]

Answer:

k=13.8

Step-by-step explanation:

Given function:

2.5k+47.4=81.9
to find k..

Subtract final and middle value:

$81.9-47.4= 34.5$

Divide by 2.5:

$34.5*2.5=13.8$

Therefore, k=13.8..

8 0

3 years ago

What is ; 3 3/4 - 2 1/5 thanks!

kari74 [83]

Answer:1 11/20 (I think)

Step-by-step explanation: First subtracting 3 - 2 gets you 1. so we keep that aside and do fractions. first, what do 4 and 5 have in common? They both can be turned to 20. 3/4 can be multiplied to 20 4x5(20) so we do 3x5=15 now you have 15/20. Hope this makes sense. now we do 1/5 to ?/20 5x4=20 1x4=4 so 15/20-4/20=11/20 11/20+1= 1 11/20

-Sorry if its too complicated

(undo ur answer if u trusted me before bc I messed up)

(its good now)

5 0

3 years ago

Read 2 more answers

Carlos scored 152, 138, and 160 in 3 consecutive

bezimeni [28]

Method 1 :
(152+138+160)÷3 = 150

(152+138+160+198)÷4 = 162

Then his average score will increase

Method 2 :
Since 198 > 150 then the average will increase automatically.

7 0

2 years ago

3) 2x² + 7x - 30 AC method

Vinvika [58]

Hello

a=2, b=7, c= -30

ac=-60

-60= 12*(-5)

We can see that 12*(-5)=ac and 12-5=b=7

$2x^2+7x-30=2x&2+12x-5x-30=2x(x+6)-5(x+6)=(x+6)(2x-5)$

Thanks

6 0

3 years ago