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3 years ago

10

An exponential function is not an appropriate model because, for evenly spaced x-values, the ______ of consecutive y-values is n

ot constant.

1 answer:

Juliette [100K]3 years ago

8 0

Answer: ratio on edg.

Step-by-step explanation:

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4. The slope of the tangent for the function y = 1x is 1/(2(x). Find the equation of the tangent line at the point x = 1. Illust

Marianna [84]

Answer:

$x-2y+1=0$

Step-by-step explanation:

We are given the following information in the question:

$y = \sqrt{x}$

Differentiating y with respect to x:

$\displaystyle\frac{dy}{dx} = \frac{1}{2\sqrtx}$

At x = 1

$\displaystyle\frac{dy}{dx}\Bigr|_{\substack{x=1} }= \frac{1}{2\sqrt{1}}=\frac{1}{2}$

$y(1) = \sqrt{1} = 1$

Equation of tangent:

$(y-y_0) = \displaystyle\frac{dy}{dx}(x-x_0)$

Putting the values:

$(y-y(1)) = \displaystyle\frac{dy}{dx}\Bigr|_{\substack{x=1} }(x-1)\\\\y - 1= \frac{1}{2}(x-1)\\2y -2 = x - 1\\x-2y+1=0$

The above equations are the required equation of the tangent.

3 0

3 years ago

You burn 20 calories per minute biking for x minutes and 10 calories per minute walking for y minutes. You can spend a total of

antoniya [11.8K]

B. How many minutes did you spend biking

7 0

3 years ago

Which of the following give an equation of a line that passes through the point (6/5,-19,5) and is parallel to the line that pas

Ilya [14]

Parallel lines, have the same slope, so the slope of the line through 0,0 and -2,-12, is the same as for the line running through (6/5,-19.5) as well, so what is it anyway?

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 0}}\quad ,&{{ 0}})\quad 
% (c,d)
&({{ -2}}\quad ,&{{ -12}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{-12-0}{-2-0}\implies \cfrac{-12}{-2}\implies 6$

so, we're looking for the equation of a line whose slope is 6, and goes through (6/5,-19/5)

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ \frac{6}{5}}}\quad ,&{{ -\frac{19}{5}}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 6
\\\\\\
% point-slope intercept
\stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\implies y-\left( -\frac{19}{5} \right)=6\left(x-\frac{6}{5} \right)
\\\\\\
y+\cfrac{19}{5}=6x-\cfrac{36}{5}\implies y=6x-\cfrac{36}{5}-\cfrac{19}{5}\implies y=6x-\cfrac{55}{5}
\\\\\\
y=6x-11$

6 0

3 years ago

There are 30 students in Ava’s class. Nine of them belong to the Pep Club. What fraction of the class are Pep Club members?

Alex Ar [27]

Answer:

total no. of students=30

pep club students =9

:=9/30 divide by 3

;=3/10

7 0

2 years ago

Please help i would greatly appreciate it :D

kumpel [21]

8.
$40+105+x=180\\
x=35$

9.
The sum of two sides must be greater than the third side.
It can't be 5 because $5+5=10\not>12$ .
It can't be 7 because $5+7=12\not>12$ .
It can't be 17 because $5+12=17\not>17$ .
So it's 12.

10.
a. Turk, McAllister
b. Market, Mission, Howard
c. not sure about this one

8 0

3 years ago