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Svet_ta [14]
4 years ago
5

Find g (a + 1 ), if g(x)=5x-3 ​

Mathematics
1 answer:
nordsb [41]4 years ago
5 0

Answer:

g(a+1)=5a+2

Step-by-step explanation:

so (a+1) is the value of x

you can write it like this:

x=a+1

using substitution, we can swap out all 'x's for 'a+1's. like so;

g(a+1)=5(a+1)-3  -- given

        =5a+5-3   --  distribute

        =5a+2      --  simplify!

Hope i helped! have a great day! please mark brainliest!!

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The motion of a ship riding at anchor can be modeled by y=25-4 cos (pi/6)t, where y is the water depth in feet and t is the time
balandron [24]

Answer: 29 feet (deepest) at 6 am

              21 feet (shallowest) at Midnight & Noon

<u>Step-by-step explanation:</u>

y = -4 cos (π/6)t +25

Amplitude (A) = 4    

-A means it is a reflection over the x-axis (starts at minimum)<em> </em>

Period = 2π/B   →  Period = 12

Phase shift = C/B   →  Phase Shift = 0

Midline (D) = 25

Midline (D) ± Amplitude (A) = Max & Min

Max: 25 + 4 = 29

Min: 25 - 4 = 21

Change the coordinates of y = cos (x) as follows:

  • x-value: Add C then divide by B
  • y-value: Multiply by A then add D

Note that the equation shows: A = -4, B = π/6, C = 0, D = 25

\begin{array}{c|ccc|cl}\underline{\quad x\quad}&\underline{\quad y\quad}&&\underline{\quad (x+C)/B\quad}&\underline{\quad Ay+D\quad}\\0&1&&0&21&minimum\\\pi&0&&3&25&midline\\\pi &-1&&6&29&maximum\\3\pi/2&0&&9&25&midline\\2\pi&1&&12&21&minimum\\\end{array}

5 0
4 years ago
What is the distance between 32 and -67 on a number line?
inysia [295]
The answer is 99

-67-32=-99
distance can't be negative so its 99
5 0
3 years ago
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