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Rama09 [41]
2 years ago
13

Write an equivalent expression to -2(1.5h+5)-4(-0.5+3h)

Mathematics
2 answers:
kvv77 [185]2 years ago
6 0

Answer:

<em><u>-15h-8</u></em>

Step-by-step explanation:

-2(1.5h+5)-4(-0.5+3h)

= -3h -10 +2-12h

=-15h-8

bearhunter [10]2 years ago
5 0

Answer:

-15h-8

Step-by-step explanation:

-2(1.5h+5)-4(-0.5+3h)

-3h-10+2-12h

-3h-12h-10+2

-15h-8

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Choose the function whose graph is given by:
katen-ka-za [31]

Answer:

D. y=\tan (x-\pi)+2

Step-by-step explanation:

We are given the graph of the transformed tangent function.

As, we can see that the graph is shifted 2 units upwards.

That is, the parent function is translated 2 units up.

So, the new function will be of the form, y=\tan (x)+2.

Thus, options A and C are not correct.

Moreover, 'If a function f(x) has period P, then the function cf(bx) will have period \frac{P}{|b|}.

Also, form the figure, we see that the period of the graphed function is \pi.

Since, y=\tan (x) have period \pi.

So, function in option B will have period \frac{\pi}{2}, which is not possible.

<em>Further, function in option D have period \pi.</em>

Thus, the equation of the graphed function is, y=\tan (x-\pi)+2.

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Which statement is true regarding the graphed functions?
katen-ka-za [31]

let's analyze each case to determine the solution

<u>case 1) </u>f(0) = 2 and g(–2) = 0

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the statement of the case 1) is false

<u>case 2) </u>f(0) = 4 and g(–2) = 4

For x=0-----> find the value of f(0) in the graph-----> f(0)=4

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

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<u>case 3) </u>f(2) = 0 and g(–2) = 0

For x=2-----> find the value of f(2) in the graph-----> f(2)=0

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

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<u>case 4) </u>f(–2) = 0 and g(–2) = 0

For x=-2-----> find the value of f(-2) in the graph-----> f(-2) is greater than 12

For x=-2-----> find the value of g(-2) in the graph-----> g(-2)=0

therefore

the statement of the case 4) is false

therefore

<u>the answer is</u>

f(2) = 0 and g(–2) = 0-------> this statement is true





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