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3 years ago

Given that (2,4) is on the graph of f(x), find the corresponding point for the function f(x)-5

Mathematics

1 answer:

miv72 [106K]3 years ago

5 0

(2,4)=(x,f(x))→x=2, f(x)=4

f(x)-5=4-5→f(x)-5=-1

The corresponding point for the function f(x)-5 is (x,f(x)-5)=(2,-1)

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Answer this Please (10) points for this

Alexeev081 [22]

I wanna say it is 49 I answered on my calculator!

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3 years ago

Read 2 more answers

A garden box has a perimeter of 18½ feet. If the length is 5 feet, what is the area of the garden box?

Travka [436]

Answer:

$area=\frac{85}{4}feet^{2}$

Step-by-step explanation:

1. Approach

Since it is given that the garden box is a rectangle, then the opposite sides are congruent. One can use this to their advantage, by setting up an equation that enables them to solve for the width of the rectangle. After doing so, one will multiply the width by the given length and solve for the area.

2. Solve for the width

It is given that the garden box is a rectangle. As per its definition, opposite sides in a rectangle are congruent. The problem gives the length and the perimeter of the rectangle, therefore, one can set up an equation and solve for the width.

$perimeter=18\frac{1}{2}\\\\length=5$

$2(length+width)=perimeter$

Substitute,

$2(5+width)=18\frac{1}{2}$

Conver the mixed number to an improper fraction. This can be done by multiplying the "number" part of the mixed number by the denominator of the fraction. Then add the result to the numerator.

$2(5+width)=\frac{37}{2}$

Inverse operations,

$2(5+width)=\frac{37}{2}\\/2\\\\5+width=\frac{37}{4}\\-5\\\\width=\frac{17}{4}$

3. Solve for the area

Now that one has solved for the width of the box, one must solve for the area. This can be done by multiplying the length by the width. Since the width is a fraction, one must remember, that when multiplying an integer by a fraction, one will multiply the integer by the numerator (the top of the fraction), and then simplify by reducing the fraction, if possible. Reducing the fraction is when one divides both the numerator and the denominator by the GCF (Greatest Common Factor).

$length=5\\\\width = \frac{17}{4}$

$length*width=area$

Substitute,

$5*\frac{17}{4}\\\\=\frac{85}{4}$

$area=\frac{85}{4}feet^{2}$

4 0

3 years ago

Y = f(x) = -1<br> Find f(x) v/hen x = 3.

-Dominant- [34]

Answer:

f(x) is equal to -1 when x=3

Step-by-step explanation:

we have

$y=f(x)=-1$

This is a constant function

we know that

A <u>constant function</u> is a function whose output value is the same for every input value

therefore

when x=3 (input value)

The value of the function is y=-1 (output value)

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3 years ago

Consider a population of Pacific tree frogs (Pseudacris regilla). In this population of frogs, a single locus controls the produ

solniwko [45]

Answer: The answer is 62.32

Step-by-step explanation:

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6 0

3 years ago

Find the difference quotient of f(x)=5x+4

Aleonysh [2.5K]

The differnce quotient is basically taking the derivitive (result will be f'(x)=5, but anyway)

here is the disffernce quotient
$lim_{h\rightarrow0}\frac{f(x+h)-f(x)}{h}$

so
for your equation
$lim_{h\rightarrow0}\frac{(5(x+h)+4)-(5x+4)}{h}$
$lim_{h\rightarrow0}\frac{5x+5h+4-5x-4}{h}$
$lim_{h\rightarrow0}\frac{5h}{h}$
h's cancel and you are left with 5
the differnce quotient is 5

6 0

3 years ago