Use the functions f(x) and g(x) to answer the questionf(x) =4x - 5; g(x)= x+3

A. 4x - 2
B. 4x + 7
C. 4x+ 12
D.5x - 2

Answers

Answer 1

Answer: The answer is B. 4x + 7

The function is fg(x), so for the equation, it will be fg(x) : 4g(x) - 5, then substitute the equation of g(x) into fg(x) and you will get 4 (x + 3) - 5, then solve it by expanding

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If I won 12 games and this was 60% of the games played. how many total games were there? Show your work

Answers

Answer:

20 games

Step-by-step explanation:

60% is the same as $(3)/(5)$ .

Divide 12 games by 3 to get one fifth of the total games instead of three fifths of the total games. One fifth of the total games is four games.
Now multiply the 4 games by 5 to get five fifths of the total games, or all of them.

The thickness of a cd is about 1/20thsinch. If carrie has a stack of 52 CD's what is the height of the stack?

Answers

$(1)/(20)*52\n(13)/(5)\n2.6$

2.6 inches

52 CDs* (1/20 in/ 1 CD)= 2.6 in.
(Note that the unit cancels out so you get the answer).

The final answer is 2.6 in.

Hope this helps~

Miguel completed the division problem below. What is Miguel’s error?A.He included a 5 in the quotient, which does not belong.
B.He multiplied the divisor by 10 and the dividend by 100.
C.He subtracted 208 from 234 incorrectly.
D.He multiplied the divisor by 100 and the dividend by 10.
down there is a jpg

Answers

Answer:

he need to add one more zero to 7540

Step-by-step explanation:

He needs to add another zero at the end of 7540

solve system by substitution

y=3x-20

y=-x^(2)+34

Answers

$\begin{cases} y=3x-20 \n y=-x^2+34 \end{cases}\n \n \begin{cases} y=3x-20 \n3x-20=-x^2+34 \end{cases}\n \n\begin{cases} y=3x-20 \nx^2+3x-20-34=0 \end{cases}\n \n\begin{cases} y=3x-20 \nx^2+3x-54=0 \end{cases}$

$\begin{cases} y=3x-20 \nx^2+3x-54=0 \end{cases} \n \nx^2+3x-54=0 \n \na=1, \ \ b=3, \ \ c= -54 \n \n \Delta =b^2 -4ac =3^2-4*1*(-54)=9+216=225 \n \nx_(1)=(-b-√(\Delta ))/(2a) =(-3-√(225))/(2)=(-3-15)/(2)= (-18)/(2)=-9$

$x_(2)=(-b+√(\Delta ))/(2a) =(-3+√(225))/(2)=(-3+15)/(2)= (12)/(2)=6$

$\begin{cases} y=3x-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=3x-20 \nx=6 \end{cases}\n \n \begin{cases} y=3*(-9)-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=3*6-20 \nx=6 \end{cases}\n \n \begin{cases} y=-27-20 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=18-20 \nx=6 \end{cases}\n \n \begin{cases} y=-47 \n x=-9 \end{cases}\ \ \vee \ \ \begin{cases} y=-2\nx=6 \end{cases}$

The pair of figures is similar. Find X. Round to the nearest 10th if necessary.

Answers

Answer:

x = 9.775 cm ≈ 9.8 cm

Step-by-step explanation:

If traingles are similar, then corresponding sides are in proportion:

$(x)/(17)=(23)/(40)$ cross multiply

$40x=(17)(23)$

$40x=391$ divide both sides by 40

$x=9.775\ cm$

Answer:

9.7 rounded to 10

Step-by-step explanation:

I'm pretty sure 10 would be the answer, because since they are similar triangle you would cross multiply. So you would do $(23)/(x) =(40)/(17)$ , you would the cross multiply 23×17 and 40×X. You would then have 40X=391, so you would divide 391÷40, so X=9.7 or 10