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ankoles [38]
4 years ago
12

Which is the inverse of the function f(x) = 4x − 9?

Mathematics
1 answer:
Murljashka [212]4 years ago
4 0

Answer:

The inverse is 1/4x + 9/4

Step-by-step explanation:

f(x) = 4x − 9

y = 4x -9

Exchange x and y

x = 4y -9

Solve for y

Add x to each side

x+9 = 4y

Divide by 4

1/4x + 9/4 = y

The inverse is 1/4x + 9/4

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A model airplane is shot up from a platform 1 foot above the ground with an initial upward velocity of 56 feet per second. The h
scoray [572]

Answer:

Option B. 1.8 seconds

Step-by-step explanation:

h=-16t^2+56t+1

This is a quadratic equation, and its graph is a parabola

h=at^2+bt+c; a=-16, b=56, c=1

Like a=-16<0 the parabola opens downward, and it has a maximum value (height) at the vertex, at the abscissa:

t=-\frac{b}{2a}

Replacing the known values:

t=-\frac{56}{2(-16)}\\ t=-\frac{56}{(-32)}\\ t= 1.75

Approximately 1.8 seconds.

Answer: It takes approximately 1.8 seconds the airplane to reach its maximum height.


5 0
4 years ago
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Question 1
stiks02 [169]

Answer:

A

Step-by-step explanation:

3 0
3 years ago
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2 + 2 ? what is the answer
julia-pushkina [17]

Answer:

4

Step-by-step explanation:

3 0
3 years ago
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Jenna feeds her cat twice a day. She gives her cat 3/4 can of cat food each time. Jenna is having a friend take care of her cat
Anarel [89]

Given:

Number of times Jenna feeds her cat = 2

Cat food each time =\dfrac{3}{4}\text{ can}

Number of days = 5

Number of cans she bought = 8

To find:

Did Jenna buy enough cat food.

Solution:

Required food for each time  =\dfrac{3}{4}\text{ can}

Jenna feeds her cat twice a day.

Required food for a day =2\times \dfrac{3}{4}\text{ can}

                          =\dfrac{3}{2}\text{ can}

Required food for 5 days =5\times \dfrac{3}{2}\text{ can}

                           =\dfrac{15}{2}\text{ can}

                           =7.5\text{ can}

Since, 7.5 cans < 8 cans, therefore, Jenna buy enough cat food for her cat.

7 0
3 years ago
Convert the expression (p/q)^2/5 to its radical form.
solniwko [45]

\left(\dfrac{p}{q}\right)^\frac{2}{5}=\sqrt[5]{\left(\dfrac{p}{q}\right)^2}=\sqrt[5]{\dfrac{p^2}{q^2}}\\\\Used:\\\\a^\frac{m}{n}=\sqrt[n]{a^m}

6 0
4 years ago
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