All categories

3 years ago

Use the function to answer the question.

Mathematics

1 answer:

marissa [1.9K]3 years ago

8 0

Answer:

20x^2 - 1 (fourth possible answer is the correct one)

Step-by-step explanation:

To obtain (f o g)(x), use function g(x) as the input (x) to f(x), as follows:

f(x) = 4x - 1 becomes f(g(x)) = 4g(x) - 1.

But g(x) = 5x^2, so we get:

f(g(x)) = 4(5x^2) - 1

and this simplifies to: f(g(x)) = 20x^2 - 1

You might be interested in

Oś symetrii ma każdy:

den301095 [7]

Odpowiedź:

Wyjaśnienie krok po kroku:

Linia symetrii to linia, która przecina dwuwymiarowy kształt i dzieli go na dwie części, dzięki czemu powstały kształt jest lustrzanym odbiciem. Dotyczy to głównie kształtów o równych bokach lub niektórych bokach równych.

1A) Równoległobok ma DWIE oś symetrii.

1C) Trapez ma tylko jedną linię symetrii. Dlatego trójkątny trapez ma tylko jedną linię symetrii.

1C) Prostokątny trapez ma również jedną linię symetrii, ponieważ ma charakter trapezoidalny.

1D) Trójkąt równoboczny ma 3 linie symetrii.

2) Zgodnie z trójkątem, Trójkąt o różnej długości NIE MA OSI SYMMETRII. Wynika to z faktu, że trójkąt ma różną długość i jako taki nie można go podzielić, aby uzyskać kształty będące odbiciami lustrzanymi.

4 0

3 years ago

A tank holds 1,000 gallons of syrup Danielle filled 66 5- gallon cans with syrup how much syrup was left in the tank when she fi

PilotLPTM [1.2K]

the anwser is 670 gallons of syrup left

3 0

3 years ago

A number has the property that its square is equal to 84 more than five times the number. Enter all numbers that have this prope

Liono4ka [1.6K]

Answer:

The numbers for which the given property hold true are 12 and -7

Step-by-step explanation:

Let the number be $x$ .

As per the given statement:

Square of the number ( $x^{2}$ ) is 84 more than five times of the number ( $5x+84$ ).

Writing in the equation form:

$x^{2} =5x+84$

To find:

All the numbers for which above equation holds true.

Solution:

$x^{2} =5x+84$

Let us solve the above equation by rearranging the terms and then let us find the roots of the equation.

It is a quadratic equation(i.e. maximum power of $x$ is 2) so it will have 2 solutions i.e. 2 values of $x$ for which the above equation will hold true.

$x^{2} -5x-84=0$

Let us factorize the equation.

$\Rightarrow x^{2} -12x+7x-84=0\\\Rightarrow x(x -12)+7(x-12)=0\\\Rightarrow (x+7)(x-12)=0\\\Rightarrow \bold{x=12, -7 }$

So, the numbers for which the given property hold true are 12 and -7.

8 0

3 years ago

What is 0.8 and 5/8 and 0.01 in a percentage

vovikov84 [41]

The correct answers are:

__________________________

1) " 0.8 = 80 % " .

__________________________

2) " $\frac{5}{8}$ = 62. 5 % " .

__________________________

3) " 0.01 = 1 % " .

__________________________

Explanation:

To solve:

__________________________

Write the numbers: " 0.8 " ; " 5/8 " ; and: " 0.01 " ; as "percentages" .

To write a "number" as a "percentage" :

You take the "number" ;

Multiply that "number" by "100" ; AND:

add a "percent symbol";

→ that is: " % " ;

→ to denote the "percentage" ; or, "parts per hundred" .

__________________________

Let us start with the number: " 0.8 " .

→ " 0.8 " * 100 = ?

→ Take the decimal point, and move it 2 decimal spaces to the right; since we are "multiplying" by "100" (which has "2 zeros") ;

→ 0.8 * 100 = ? ; If we move the decimal space "one space" forward, we have: "8" . If we move the decimal space yet "one more space forward" ;

→ "8." to: " 80 " .

→ Then we add the "percent symbol":

→ " 80 " ; to: " 80 % "

Answer: " 0.8 = 80 % " .

_________________________

Other method:

_________________________

→ Note that "percentage" means: "parts per hundred" :

→ Given: " 0.8 " ; Convert to a "percentage" :

→ " 0.8 = $\frac{8}{10}$ " ;

→ " $\frac{8}{10} = \frac{?}{100}$ " ;

→ Find the "?" value.

→ To do so; look at the "denominators" :

→ " 10 * (what) = 100 " ?

→ Divide each side by "10" ;

→ " [10 * what ] / 10 = 100 / 10 " ;

→ to get:

→ " [what] " = "10" .

→ So; " $\frac{8}{10} = \frac{?}{100}$ " ;

→ If "{10 * 10 = 100}" ; then, "{8 * 10 = 80}" .

→ So; " {?} " = " 80 " .

→ So; " $\frac{8}{10} = \frac{80}{100}$ " ;

→ As such: " 0.8 " = " ( $\frac{80}{100}$ ) " ;

= " 80 " parts per hundred ;

= " 80 % " .

Answer: " 0.8 " = 80 % " .

__________________________

Now, let convert: "( $\frac{5}{8}$ )" ; into a percentage.

→ Multiply by "100" ;

→ "( $\frac{5}{8}$ )" * 100 ;

→ "( $\frac{5}{8}$ ) * ( $\frac{100}{1}$ )" ;

→ "( $\frac{(5*100)}{(8*1)}$ )" ;

→ "( $\frac{500}{8}$ )" ;

= " { 500 ÷ 8 } " ;

= " 62. 5 " ;

→ Now, add the "percent symbol" ;

→ " 62. 5 " ; → 62. 5 % " .

Answer: " $\frac{5}{8}$ = 62. 5 % " .

__________________________

Now, let us finish with our last "given value":

Convert: " 0.01 " ; to a "percentage" :

→ " 0.01 " * 100 = ?

→ Take the decimal point, and move it 2 decimal spaces to the right; since we are "multiplying" by "100" (which has "2 zeros") ;

→ 0.01 * 100 = ? ; If we move the decimal space "2 spaces forward" , we have: " 1 " .

As such:

→ " 0.01 " to: " 1 " .

→ Then we add the "percent symbol":

→ " 1 " ; to: " 1 % " .

Answer: " 0.01 = 1 % " .

__________________________

Hope this answer is of help to you.

Best wishes!

__________________________

5 0

3 years ago

A motorist covers a distance of 360KM in 4 hours approximately what speed did he use?

Zepler [3.9K]

Answer:

speed=distance

time

speed=360

speed=90km/hour

4 0

3 years ago

Read 2 more answers