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Verizon [17]
3 years ago
13

Can someone please look at the picture and tell me the answr :)

Mathematics
1 answer:
Leviafan [203]3 years ago
8 0

Answer:

Poop

Step-by-step explanation:

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Suppose h(x)=3x-2 and j(x) = ax +b. Find a relationship between a and b such that h(j(x)) = j(h(x))
sergejj [24]

Answer:

\displaystyle a = \frac{1}{3} \text{ and } b = \frac{2}{3}

Step-by-step explanation:

We can use the definition of inverse functions. Recall that if two functions, <em>f</em> and <em>g</em> are inverses, then:

\displaystyle f(g(x)) = g(f(x)) = x

So, we can let <em>j</em> be the inverse function of <em>h</em>.

Function <em>h</em> is given by:

\displaystyle h(x) = y = 3x-2

Find its inverse. Flip variables:

x = 3y - 2

Solve for <em>y. </em>Add:

\displaystyle x + 2 = 3y

Hence:

\displaystyle h^{-1}(x) = j(x) = \frac{x+2}{3} = \frac{1}{3} x + \frac{2}{3}

Therefore, <em>a</em> = 1/3 and <em>b</em> = 2/3.

We can verify our solution:

\displaystyle \begin{aligned} h(j(x)) &= h\left( \frac{1}{3} x + \frac{2}{3}\right) \\ \\ &= 3\left(\frac{1}{3}x + \frac{2}{3}\right) -2 \\ \\ &= (x + 2) -2 \\ \\ &= x \end{aligned}

And:

\displaystyle \begin{aligned} j(h(x)) &= j\left(3x-2\right) \\ \\ &= \frac{1}{3}\left( 3x-2\right)+\frac{2}{3} \\ \\ &=\left( x- \frac{2}{3}\right) + \frac{2}{3} \\ \\ &= x  \stackrel{\checkmark}{=} x\end{aligned}

3 0
3 years ago
Tell whether the sequence is arithmetic. If it is, what is the common difference?
Ilya [14]
The answer is B. Yes; 4

Arithmetic sequence is the type of sequence of numbers which difference between each number will always remain constant
in the sequence above we could see the difference between one number with another is exactly 4:

15 + 4 = 19

19 + 4 = 23

23 + 4 = 27


7 0
3 years ago
Please Help This Is Math
stira [4]

Answer:

-3

Step-by-step explanation:

5 0
3 years ago
Solve the equation below<img src="https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B27%28x-2%29%7D%3D3" id="TexFormula1" title="\sqrt[5]{
Mariana [72]

Answer:

x = 11

Step-by-step explanation:

Raising both sides to the fifth power, we get:

27(x - 2) = 3⁵

x - 2 = 3⁵ / 27

x - 2 = 3⁵ / 3³

x - 2 = 3⁽⁵⁻³⁾ = 3² = 9

x = 11

8 0
4 years ago
Mark took a loan out for $25,690 to purchase a truck. At an interest rate of 5.2% compounded annually, how much total will he ha
Inga [223]

Answer:

I think the answer is 1335.88

Step-by-step explanation:

5.2% of 25,690 is 1335.88

3 0
4 years ago
Read 2 more answers
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