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2 years ago

Decide if the function is an exponential function. If it is, state the initial value and the base. (5 points)

Mathematics

1 answer:

Irina18 [472]2 years ago

4 0

Answer:

Exponential Function; base = 7; initial value = - 9.3

Step-by-step explanation:

Base is a number/value which has a variable exponent;

Initial value is the value of a function (i.e. y) when the independent variable, i.e. x, is equal to 0.

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Find the equation of a line that is perpendicular to y = 3x – 5 and passes through the point (1, -3).

Svetradugi [14.3K]

keeping in mind that perpendicular lines have negative reciprocal slopes, let's check for the slope of the equation above

$\begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\qquad \qquad y = \stackrel{\stackrel{m}{\downarrow }}{3}x-5$

well then therefore

$\stackrel{\textit{perpendicular lines have \underline{negative reciprocal} slopes}} {\stackrel{slope}{3\implies \cfrac{3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{3}}}$

so we're really looking for the equation of a line with slope of -1/3 and that passes through (1, -3 )

$(\stackrel{x_1}{1}~,~\stackrel{y_1}{-3})\qquad \qquad \stackrel{slope}{m}\implies -\cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-3)}=\stackrel{m}{-\cfrac{1}{3}}(x-\stackrel{x_1}{1})\implies y+3=-\cfrac{1}{3}x+\cfrac{1}{3} \\\\\\ y=-\cfrac{1}{3}x+\cfrac{1}{3}-3\implies y=-\cfrac{1}{3}x-\cfrac{8}{3}$

6 0

1 year ago

What is the given point on the line of this equation y +2 = 5/3(x-3)

8_murik_8 [283]

Answer:

Step-by-step explanation:

Solve x then y after..

4 0

2 years ago

What is the value of the expression? 2 1/4 divided by 1 2/5

ad-work [718]

Answer:

45/28

Step-by-step explanation:

Convert them to mixed fractions

(2 * 4 + 1) / 4 ÷ (1 * 5 + 2) / 5

8 + 1 / 4 ÷ 5 + 2 / 5

9/4 ÷ 7/5

Flip the second fraction and flip the sign - to multiply.

9/4 × 5/7

9 × 5 = 45

4 × 7 = 28

45/28

This could be left as a fraction or converted to a number:

1.60714285714

4 0

3 years ago

Read 2 more answers

What is a correct name for the polygon?

lions [1.4K]

I believe your answer would be d. BAEAB

8 0

2 years ago

Read 2 more answers

What is true about the angles in the diagram show below? Please Help!

dsp73

Answer:

1) 30

2) 60

Step-by-step explanation:

1. 90 + 2x + x = 180

solve for x

x = 30

plug in 30 for x

hope this helps. I am in algebra two so you can trust my answer. Happy holidays stay safe

8 0

2 years ago