PLEASE HELP ME ASAP!


graph f(x)= -2|x+4|


use the khan academy graph

f ⁻¹( x)= x^2+4 is the inverse of f(x)= [tex]\sqrt{x-4}[/tex]

what is an inverse function ?

An inverse function or an anti function is defined as a function, which can reverse into another function. In simple words, if any function “f” takes x to y then, the inverse of “f” will take y to x. If the function is denoted by 'f' or 'F', then the inverse function is denoted by f-1 or F-1.

write f(x)= [tex]\sqrt{x-4}[/tex] as an equation

y= [tex]\sqrt{x-4}[/tex]

interchange the variables

x= [tex]\sqrt{y-4}[/tex]

solve the equation for y we get

squaring both side ,we have

x^2 = y-4

this implies that

y= x^2 +4

replace y with f ⁻¹( x)  to show the final answer

f ⁻¹( x)= x^2+4

Hence, f ⁻¹( x)= x^2+4 is the inverse of f(x)= [tex]\sqrt{x-4}[/tex]

learn more about of inverse function here

https://brainly.com/question/13715269

#SPJ4

Answer:

Step-by-step explanation:

The answer is just 5

f(5)=5

The answer to the present question is:5x² + 13x - 6 = (5x - 2) (x + 3)

For a polynomial, ax² + bx + c, we want to separate the center term because the sum of these two numbers, whose sum is adequate to the merchandise of the opposite two numbers.

So, here, we'd like to rewrite 13 because the sum of two numbers, whose product is adequate to the opposite two numbers, i.e., 5*(-6) = -30

So, to separate 13, two numbers used here will be: 1 5 and -2, because after we will add 15 and -2 we are going to get 13 and that we will multiply them, then we are going to get

-30.5x² + 13x -6 = 5x² + 15x - 2x - 6

                           = 5x(x + 3) - 2(x + 3)

                             = (5x - 2) (x + 3)

Therefore,  5x² + 13x - 6 = (5x - 2) (x + 3)

Learn more about Factorisation here: https://brainly.com/question/25829061

#SPJ4

The the distance between the school and Nokesville be on the map is 0.7 inches.

What is scaling ?

It is the technique to resize drawing with comparing to actual size of object which uses proportion or ratio. For example, Mapping of earth, drawing prototype of automobiles.

It is given that :

The distance between the school and Target is 4.2 miles and on a map the ratio is 0.5 inches is equal to 3 miles that is :

3 miles = 0.5 inches on map

Now to find the distance between the school and Nokesville be on the map we first find for 1 miles on the map and then multiply it by 4.2 miles :

3 miles = 0.5 inches on map

1  miles = 0.5/3 inches on map

4.2 miles = (0.5/3) x 4.2 inches on map

4.2 miles = 0.7 inches inches on map

Therefore, the the distance between the school and Nokesville be on the map is 0.7 inches.

Read more about ratio at:

https://brainly.com/question/17869111

#SPJ1

Answer:

f(- 1) = - 5

Step-by-step explanation:

substitute x = - 1 into f(x)

f(x) = x² + 2x - 4 , then

f(- 1) = (- 1)² + 2(- 1) - 4 = 1 - 2 - 4 = - 5

If the expression is log₃ 7(2 x-3)², then the expansion of the expression is [[tex]log_{3}[/tex] 7+ [tex]log_{3}[/tex] [tex](2x-3)^{2}[/tex]]

Given that the expression is log₃ 7(2 x-3)².

We are told to find the expansion of the expression.

Logarithmic function is basically the opposite of the exponential function and is denoted by log or ln.

It says that [tex]log_{a} b[/tex]= [tex]log_{x}b /log_{x}a[/tex].

The expression is log₃ 7(2 x-3)².

We know that log mn=log m +log n.

log₃ 7(2 x-3)²=[[tex]log_{3}[/tex] 7+ [tex]log_{3}[/tex] [tex](2x-3)^{2}[/tex]]

We know that log [tex]a^{b}[/tex]=log b/log a but we are not changing here,So,

log₃ 7(2 x-3)²=[[tex]log_{3}[/tex] 7+ [tex]log_{3}[/tex] [tex](2x-3)^{2}[/tex]]

Hence if the expression is log₃ 7(2 x-3)², then the expansion of the expression is [[tex]log_{3}[/tex] 7+ [tex]log_{3}[/tex] [tex](2x-3)^{2}[/tex]]

Learn more about logarithm at https://brainly.com/question/25710806

#SPJ4

Answer:

I deleted my answer bc i accidentally answered the wrong question

Answer:

15hw.

Step-by-step explanation:

Note 5wh is the same as 5hw, so we have:

7hw+5hw + 3hw

= 15hw.

Or, if you like, you could write it as 15wh.

The absolute value of the inequality is x < 6

Absolute value can be defined as the describing the distance of a number from zero on the number line, without considering direction.

It is also the value of the number with no consideration to it's sign.

Given the inequality;

| | x+4|-7 |< 5 | |

Take the absolute value and expand the bracket

(x + 4) + 7 < 5

expand the bracket

x + 4 + 7 < 5

x + 11 < 5

Make 'x' the subject

x < 5 - 11

x < -6

Take the absolute value

x < 6

Thus, the absolute value of the inequality is x < 6

Learn more about absolute value here:

https://brainly.com/question/5012769

#SPJ1

Answer:

odd

Step-by-step explanation:

Not sure tho

Answer:

11429 (estimated)

Step-by-step explanation:

1. Combine like terms: 3x+4x=7x

7x=80,000

2. Divide 80,000 by 7, which is 11428.57

which can be rounded to 11429

Answer:

Option 2

Step-by-step explanation:

The distances will be the same because the bisector will create congruent triangles, and the desired equalities follow from CPCTC and the definition of congruency.

The vertex is (2,-3)So the Answer isY=(x-2)-3

The average quantity of juice that is consumed per person in this country is given as 3.84

We have the following data with which to answer this question

The consumption of juice = 1.92 billion

The population of the country = 500 million

The question wants us to calculate the amount of drink that the persons would consume on average in this nation.

we have average = quantity consumed / total number of persons

This would give us

average = 1.92 billion / 500 million

= 1, 920, 000, 000 / 500, 000 ,000

= 3.84

Hence the amount of juice that is consumed per person in this country is given as 3.84

Read more on consumption here:

https://brainly.com/question/17643893

#SPJ1

Answer:

back view

Step-by-step explanation:

You are very very very correct

Answer:

y =x - 3

Step-by-step explanation:

Here, m is the slope and b is the y-intercept.

 slope = m = 1

 y = 1x + b

Substitute the point (2,-1) in the above equation and find 'b'.

   -1 = 1*2 + b

   -1 = 2 + b

-1 -2 = b

     b = -3

Equation of the line:  y = x - 3

Answer:

You want to start off my isolating the y onto one side:

2y-10x=14 ---> 2y=14+10x

then you remove the coefficient from the left side:

2y=14+10x -----> y=7+5x

Then all you want to do is rearrange the equation to match slope intercept:

y=7+5x ----> y=5x+7

Answer:

You want to start off my isolating the y onto one side:

2y-10x=14 ---> 2y=14+10x

then you remove the coefficient from the left side:

2y=14+10x -----> y=7+5x

Then all you want to do is rearrange the equation to match slope intercept:

y=7+5x ----> y=5x+7

Step-by-step explanation:

Answer:

624

Step-by-step explanation:

650 * .80 = 520520 * 1.20 = 624

Answer:eighty four

Step-by-step explanation:

We will get  lne¹⁰ itself after simplifying the given expression lne¹⁰.

So,

Then,

Therefore, we will get  lne¹⁰ itself after simplifying the given expression lne¹⁰.

Know more about expressions here:

https://brainly.com/question/723406

#SPJ4

Fractions are in their simplest form when they have no common divisors other than one at their top and bottom. The top and bottom cannot be divided further and remain integers.

You may also hear the simplest form called "lowest term."

In preferred, an expression is in only form while it's far easiest to use not unusual methods to help you simplify:

Input:

32^ (-3/5)

Exact Value:

1/8

Decimal Form:

0.125

More problems are in the link below.

https://brainly.com/question/21050698?referrer=searchResults

#SPJ4

Solution of exponential equation  is , x=2

In, mathematics a exponential equation or exponential function is inverse of logarithmic function. That means, we can easily convert the logarithmic function into exponential function and vice versa is also possible . The basic form of the exponential function can be written as   .

   [tex]a^n = x[/tex]

where, a = the base of function

            x = main expression

            n = exponential

Mathematically, if  [tex]log_ax = n[/tex] is an logarithmic function then, this can be converted to exponential function as    [tex]a^n = x[/tex] .

There are many formulas that are given to us for solving several simple and complex problems based on exponential functions and exponential equations.

According to given statement,

2^3x = 4^(x+1)

the equation can also written as :

[tex]= > 2^{3x} = 2^{2(x+1)}\\= > 3x = 2(x+1)\\= > 3x = 2x +2\\= > x=2[/tex]

Thus solution for this equation is  x = 2.

To know more about exponential equations, visit :

brainly.com/question/28278137

#SPJ4

The complete question is :

Solve each equation.

[tex]2^{3x} = 4^{(x+1)}[/tex]

Answer:

first one = -50

second one = 0.2

Step-by-step explanation:

Answer: bro if your on a computer or phone just use a calculator lol but ill put the answer below

Step-by-step explanation:

-15 divided by 0.3= -50

-4 divided by -20 = -24

Answer:

j = 3

Step-by-step explanation:

Recall the slope formula:

[tex]m=\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

Now, simply substitute the values from the question.

[tex]\frac{1}{3} =\frac{-4+3}{j-6}[/tex]

Now, use the cross-multiplication method. (remember, when subtracting negatives, the negative becomes a positive)

[tex]1(j-6)=3(-4+3)[/tex]             Cross Multiplication

[tex]1(j-6)=3(-1)[/tex]                   Simplify

[tex]j-6=-3[/tex]                            Distributive Property

[tex]j=3[/tex]                                     Addition Property

Therefore, j = 3.

Answer:

Step-by-step explanation:

basically the angle is a 90 degree angle and it tilted slightly to the left measures that you come out with 3/4 .

Answer:

It is: 8^4 times 3^2 = 36,864

Answer:

8^4 x 3^2

Step-by-step explanation:

There's 4 8's and 2 3's so that's the number the exponents will be

Answer:

Each pack of gum was 1.69

Step-by-step explanation:

20 - 2.50 = 17.50

17.50 - 12.43 = 5.07

5.07/3 = 1.69

The four rational number between -5/6 and -4/9 are (-43/54, -37/54, -35/54 and -31/54).

First we will make the denominator of -5/6 and -4/9 same by multiplying the numerator and denominator of -5/6 by 9 and multiply the numerator and denominator of -4/9 by 6, we get

-5x9/6x9 = -45/54 and -4x6/9x6 = -24/54

Now, we have -45/54 and -24/54 whose denominator are same.

we can choose or pick any four integers as numerator in between -45 and -24 with denominator as 54.

-43/54, -37/54, -35/54 and -31/54 are the four rational number having numerator in between -45 and -24 with denominator as 54.

Therefore, -43/54, -37/54, -35/54 and -31/54 are the four rational number between -5/6 and -4/9.

Learn more in depth about rational numbers at https://brainly.com/question/12088221

#SPJ9

Answer:

maximum at (0, 2 )

Step-by-step explanation:

the vertex is the turning point on the graph.

the graph increases on the left up to (0, 2 ) then decreases

this indicates the vertex is a maximum

The logarithmic form of 1/4 = 4⁻¹ is log₄ 4⁻¹ = ₋1.

The fundamental logarithmic function has the notation f(x) = log(r) y = log(x), where a > 0. The exponential function ay = x's inverse is represented by this. The common logarithm (log) or natural logarithm (ln) are examples of log functions (log).

The exponential function of the type aˣ = N can be converted into the logarithmic function logₐN = x. A Napier logarithm table can be used to determine the logarithmic value of any number. Logarithms are often calculated using a base of 10, therefore it is possible to get the logarithmic value of any number.

we have the exponential form as aˣ = N

1/4 = 4⁻¹

now the logarithmic form is:

logₐ N = x

log₄ 4⁻¹ = ₋1

hence we get the logarithmic form  as log₄ 4⁻¹ = ₋1.

Learn more about Logarithmic functions here:

brainly.com/question/13473114

#SPJ4