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Alenkasestr [34]

2 years ago

8

Given the following function: f(x) = 4x +7 Evaluate -3 • f(9) = ?

1 answer:

Alik [6]2 years ago

4 0

Answer:

-129

Step-by-step explanation:

f(x) = 4x +7

-3*f(9) =
-3*(4*9 + 7) =
-3*(36 + 7) =
- 3* 43 =
-129

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in the circle, an arc length 8pi cm is intercepted by acentral angle of 2pi/3 radians. what is the radius of the circle

miss Akunina [59]

Answer:

radius = 12 cm

Step-by-step explanation:

al - <em>Arc Length</em>

$\alpha \: - Central \: Angle ( in \: \: radians)$

r - <em>Radius</em>

$al \: = 8\pi \: cm$

$\alpha \: = \frac{2\pi}{3}$

$al \: = \alpha \times r$

$r \: = \frac{al}{ \alpha }$

$r = \frac{8\pi}{( \frac{2\pi}{3} )}$

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1 year ago

Which of the following equations is the result after the first step in solving 3x + 6 = 12?

Romashka-Z-Leto [24]

Answer:

3x =6

Step-by-step explanation:

3x+6 =12

Subtract 6 from each side

3x+6-6 = 12-6

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2 years ago

At the stadium, the Grandstands, Bleachers and Box Seats cost $6.75, $4.50 and $10.50, respectively. How much change will you ge

avanturin [10]

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8 0

2 years ago

Read 2 more answers

Suppose c and d vary inversely, and d = 2 when c = 17.

sergejj [24]

Answer and Step-by-step explanation:

$Greetings!$

$I'm~here~to~answer~your~question!$

$\bold{NOTE:}~We~ can ~say~ that ~two ~variables~ are~ inversely ~proportional ~to ~each` other\\ when ~when ~the ~quantity ~of ~one ~decreases, ~the ~quantity ~of~ the~ other\\ increases.~ For~ example, ~when ~the ~speed ~increases, ~the ~time ~to~ complete\\ a ~trip ~decreases.$

$\underline{\bold{It~is~given~that:}}$

$d = 2 \\c = 17$

$\underline{\bold{Inverse~ equation ~is ~like~ this:}}$

$\boxed{~~c=\frac{k}{d}~ ~} ~~where ~k ~is~ the ~constant~ value.$

$17=\frac{k}{2}$

$12 \times 2=k$

$34=k$

$\underline{\bold{Now~ for ~part~ b:}}$

$c=\frac{k}{d}$

$c \times d=k$

$d=\frac{k}{c}$

$d=\frac{34}{68}$

$d=0.5$

$\bold{The ~value ~of~ d~ is~ 0.50}$

$\underline{\bold{To~check:}}$

$c=\frac{k}{d}$

$c=\frac{34}{0.5}$

$c=68$

$\bold{Thus,~the~answer~is~correct!}$

4 0

2 years ago