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3 years ago

If s(x) = x - 7 and t(x) = 4x2 – X + 3, which expression is equivalent to (tºs)(x)?

Mathematics

1 answer:

ankoles [38]3 years ago

8 0

Answer:

4x² - 57x + 206

Step-by-step explanation:

To evaluate (t ￮ s)(x), substitute x = s(x) into t(x) , that is

t(x - 7)

= 4(x - 7)² - (x - 7) + 3 ← expand (x - 7)² using FOIL

= 4(x² - 14x + 49) - x + 7 + 3

= 4x² - 56x + 196 - x + 10 ← collect like terms )

= 4x² - 57x + 206

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Solve the expression below, when x = 8 <br> (x - 4) + 12

LenaWriter [7]

Answer:

Step-by-step explanation:

Lets solve this step by step,

First we insert 8 in x's place:

(8 - 4) + 12

Now we solve:

8 - 4 = 4

(4) + 12

4 + 12 = 16

Answer: 16

Hope this Helps

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2 years ago

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Nadusha1986 [10]

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2 years ago

Tan^2x+sec^2x=1 for all values of x. <br> true or false?

amid [387]

This is not true.

$\tan^2x+\sec^2x=\dfrac{\sin^2x}{\cos^2x}+\dfrac1{\cos^2x}=\dfrac{1-\cos^2x+1}{\cos^2x}=2\sec^2x-1$

$2\sec^2x-1=1\implies\sec^2x=1\implies\sec x=\pm1\implies x=n\pi$

where is $n$ is any integer. So suppose we pick some value of $x$ other than these, say $x=\dfrac\pi4$ . Then

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5 0

2 years ago

Read 2 more answers

The numbers of points scored in each basketball game are 49, 36, 61, 64, 39, 41, 43, and 39.

valentina_108 [34]

Answer:

In 25% of the games at least 55 points were scored.

Step-by-step explanation:

Percentage:

Number of desired outcomes multiplied by 100 and divided by the number of total outcomes.

In this question:

8 total games

In 2 at least 55 were scores.

100*2/8 = 100/4 = 25%

In 25% of the games at least 55 points were scored.

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2 years ago