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2 years ago

If g (x)=4x+7 and h (x)=x-6, find g (h(x))

Mathematics

1 answer:

Lena [83]2 years ago

3 0

<h2>Answer:</h2>

$g(h(x))=4x-17$ .

<h2 /><h2>Step-by-step explanation:</h2>

<em>This is a problem of combination of functions. Let's find the combination of f(x) and g(x).</em>

<h2 /><h3>1. Write the full argument of g(x).</h3><h2> $g(x)=4x+7$ </h2><h2 /><h3>2. Insert the argument of h(x) as if it was an x value on g(x).</h3>

<em>Argument of h(x): </em> $x-6$ <em>.</em>

$g(h(x))=4(x-6)+7$

<h3>3. Apply the associative property of multiplication to solve the parenthesis.</h3>

$g(h(x))=[(4)(x)+(4)(-6)]+7\\ \\g(h(x))=[4x+(-24)+7\\ \\g(h(x))=4x-24+7$

<h3>4. Simplify by adding.</h3>

$g(h(x))=4x-17$ .

<em>Learn more about </em><em>combination of functions</em><em> here: </em>

<em>brainly.com/question/28263470 </em>

<em>brainly.com/question/28308849 </em>

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Determine whether the ordered pair (1, 1) is a solution of the inequality. y ≤ -3x+1

solong [7]

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Answer: $\textsf{(1, 1) is NOT a solution of the inequality}$

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Given: $y \le-3x + 1$

Find: $\textsf{Determine if (1, 1) is a solution of the inequality}$

Solution: In order to determine if (1, 1) is a solution we need to plug in 1 for the x values and 1 for the y values and see if the equation evaluated to true.

<u>Plug in the values</u>

$y \le-3x + 1$

$1 \le-3(1) + 1$

<u>Simplify</u>

$1 \le-3 + 1$

$1 \le-2$

As we can see the expression states that 1 is less than or equal to -2 which is false therefore (1, 1) is NOT a solution of the inequality.

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2 years ago

What is the sign of the product (−4)(2)(−3)(6)?

lana [24]

Answer:

The sign would be positive.

The answer would be 144.

Step-by-step explanation:

Note that there are two negative numbers and two positive numbers:

positive x positive = positive answer.

negative x negative = positive answer.

Solve:

(-4) * (-3) = 12

2 * 6 = 12

12 * 12 = 144

144 would be your answer.

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3 years ago

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Answer:

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3 years ago

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PilotLPTM [1.2K]

Answer:

"23,520"

Step-by-step explanation:

one trip: 14 passengers

one day: 3 trips

passengers: 80

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