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Reika [66]
2 years ago
6

Help me please and the work please

Mathematics
1 answer:
MaRussiya [10]2 years ago
5 0
For the first one Dion has a greater rate of change.
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How to find (c,d,e)<br>Please do a step by step working.Thank you.
Natasha2012 [34]
(a)
The inverse is when you swap the variables and solve for y.
g(t) = 2t - 1 (Note: g(t) represents y)
rewrite as: y = 2t - 1
swap the variables: t = 2y - 1
solve for y: t + 1 = 2y
                   \frac{t + 1}{2} = y
Answer for (a): g^{-1}(t) =  \frac{t + 1}{2}

(b)
Same steps as part (a) above:
h(t) = 4t + 3
rewrite as: y = 4t + 3
swap the variables: t = 4y + 3
solve for y: y =\frac{t - 3}{4}

Answer for (b): h^{-1}(t) = \frac{t - 3}{4}

(c)
g^{-1} ( h^{-1}(t)) =  g^{-1} (\frac{t - 3}{4})
replace all t's in the g^{-1}(t) equation with \frac{t - 3}{4}
 g^{-1} (\frac{t - 3}{4}) = \frac{ \frac{t-3}{4} + 1}{2}
= \frac{ \frac{t-3}{4} +  \frac{4}{4}}{2} = \frac{ \frac{t - 3 + 4}{4}}{2} = \frac{ \frac{t + 1}{4}}{2} =  \frac{t + 1}{8}
Answer for (c): g^{-1} ( h^{-1}(t)) = \frac{t + 1}{8}

 (d)
h(g(t)) = h(2t - 1) = 4(2t - 1) + 3 = 8t - 4 + 3 = 8t - 1
Answer for (d): h(g(t)) = 8t - 1

(e)
h(g(t)) = 8t - 1
   y = 8 t - 1
   t = 8y - 1
  t + 1 = 8y
\frac{t + 1}{8} = y
Answer for (e): inverse of h(g(t)) = \frac{t + 1}{8}
 
























8 0
3 years ago
Help!!!!????!!!???!!
Anon25 [30]

Answer:  

π/3

Step-by-step explanation:

-5π/3 is a co terminal of 2π-5π/3= (6π-5π)/3=π/3

7 0
3 years ago
Help me out? it would mean tons tysm
m_a_m_a [10]

Answer:

y - 5 = -3(x + 2)

General Formulas and Concepts:

<u>Algebra I</u>

Point-Slope Form: y - y₁ = m(x - x₁)  

  • x₁ - x coordinate
  • y₁ - y coordinate
  • m - slope

Step-by-step explanation:

<u>Step 1: Define</u>

Slope <em>m</em> = -3

Point (-2, 5)

<u>Step 2: Write function</u>

  1. Substitute:                    y - 5 = -3(x + 2)
3 0
3 years ago
To get the right color to paint the house, Wendy must
Nataly [62]

Answer:

Wendy must mix .25 with .75

Step-by-step explanation:

Because 1 is a third of 3 which makes the process for the decimals.

6 0
2 years ago
Read 2 more answers
Whats the area of x=9 ft, x=22ft, and z=109*
jekas [21]
The answer is 361 to the third power
8 0
3 years ago
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