Adding and Subtracting Functions
F(x)=x^2+4
G(x)=x-1
Find (g+f)(x)

Given:

A figure of a right angle triangle.

To find:

The length of the shorter leg.

Solution:

In a right angle triangle,

[tex]\tan\theta =\dfrac{Opposite}{Adjacent}[/tex]

In the given triangle,

[tex]\tan (60^\circ) =\dfrac{18}{x}[/tex]

[tex]\sqrt{3}=\dfrac{18}{x}[/tex]

[tex]x=\dfrac{18}{\sqrt{3}}[/tex]

[tex]x=\dfrac{18}{\sqrt{3}}\times \dfrac{\sqrt{3}}{\sqrt{3}}[/tex]

On further simplification, we get

[tex]x=\dfrac{18\sqrt{3}}{3}[/tex]

[tex]x=6\sqrt{3}[/tex]

[tex]x=10.3923[/tex]

[tex]x\approx 10.4[/tex]

Therefore, the length of the shortest leg is 10.4 and the correct option is B.

Answer:

3(2x² + x + 3)

Step-by-step explanation:

zzzzzzzzzzzzzzz

Answer:

90%

Step-by-step explanation:

18/20 × 100 = 90%

I hope this helps!

Answer:

Sean answered 90% of the questions in the quiz correctly

oh whoopsie somebody answered already but oh well- 乁[ᓀ˵▾˵ᓂ]ㄏ

Answer:

well, y - 7 divided by 3 + 6 = y + 11/3

Step-by-step explanation:

hope this helps! have a nice day!

Answer:

c

Step-by-step explanation:

it will eventually cancel

Answer:

36 degrees

Step-by-step explanation:

There's 180 degrees in a triangle.

Since they're supplementary angles, we do 180-142=38.

We now know that 106+38+x=180.

Solve for x: x=36

Answer:

1

Step-by-step explanation:

it is an identity. hope it helps

Answer:

x = 15

Step-by-step explanation:

-2x= -25-5

-2x=-30

x= 15

Answer:

m=0,b for -2/3 x-4

Step-by-step explanation:

..........

Answer:

He can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.333333

You cannot buy 1/3 of a pizza, so you round the number to a whole number.

5.333333 ----> 5

5 large cheese pizzas

Answer:

Diego can afford 5 large cheese pizzas.

Step-by-step explanation:

$40 ÷ $7.50 = 5.3333

He cannot buy part of a pizza, so you round it to 5.

Answer:

sorry I dont know

Step-by-step explanation:

I do not know

Answer:

Step-by-step explanation:

Desde el concepto de conservación de la energía mecánica, es decir, la energía asociada con el movimiento coherente de un objeto, la energía cinética del objeto, junto con su momento, están conectadas entre sí. Entonces, si un bloque rueda sobre un plano irregular, tiene pérdida de energía mecánica, esto significa que la energía cinética se compensa con las ganancias o pérdidas de la energía potencial de la interacción del objeto.

Answer:

El número de horas que una persona duerme todos los días, durante un mes, es una variable continua ordinal

Step-by-step explanation:

Answer:

-6/5

Step-by-step explanation:

We can find the slope using the slope formula

m = ( y2-y1)/(x2-x1)

    = ( 6 - -6)/( -18 - -8)

   = ( 6+6)/ (-18+8)

   = 12/ -10

    -6/5

Answer:

t = (A/p-1) r

Step-by-step explanation:

p = p (1+rt)

A/P = 1+rt

rt = A/P- 1

t = ( A/P- 1) r

Answer:

Step-by-step explanation:

[tex](32+2W)(16+2W)=924\\ \\ 4W^2+96W+512=924\\ \\ 4W^2+96W-412\\ \\ W^2+24W-103=0\\ \\ W=-24\frac{\sqrt{988}}{2}\\ \\ W\approx 3.72ft[/tex]

Answer:

7/8

Step-by-step explanation:

Get rid of the (   )

put the 49/64 into a √  sq root and it cancels out the 1/2

49/64       whats the square root of 49? 7  Ss root of 64 is 8

7/8

Answer:

B!

Step-by-step explanation:

Hope that helps!

Answer:

Yes

2*2*2*2*2*2=64

so that is a much better deal than the original 40$

Step-by-step explanation:

Answer:

-4x-36

Step-by-step explanation:

multiply -4 by x

multiply -4 by 9 and add each together

Answer:

-4x + -36

Step-by-step explanation:

This problem uses the distributive property. You need to multiply -4 by both things in the parentheses.

-4 · x = -4x.

-4 · 9 = -36

Hope this helps!

Answer:

a in the picture

Step-by-step explanation:

The end behaviour of the function is correctly represented by option 1.

The end behavior of a function describes the trend of the graph if we look to the right end of the x-axis (as x approaches +∞ ) and to the left end of the x-axis (as x approaches −∞ ).

For any function y = f(x), Domain is the set of all possible values of [x] for which [y] exists. Range is the set of all values of [y] that exists for the given domain.

Given is the following function polynomial as -

q(x) = 3x⁴ – 5x³ – 2x² + x – 18

The given polynomial is -

q(x) = 3x⁴ – 5x³ – 2x² + x – 18

Graph the function. It can be seen that the domain is limited from -

x = -1.365 to x = 2.351 which is a small value. So, we can predict the end behaviour of the graph as given in option [1].

Hence, the end behaviour of the function is correctly represented by option 1.

To solve more questions on functions, visit the link below -

brainly.com/question/1632425

#SPJ2

Answer:

okay, so let's take an example problem:

y = x + 4 where "y" = 5

so first, you plug in 5 in "y"'s place like so:

5 = x + 4

then, you solve for "x"

5 - 4 = 1

so therfore:

x = 1

if you need more of an explanation please do not be afraid to reach out. my goal isn't to get points, it's to help.

Answer:

Distance formula = √(x2 - x1)^2 + (y2 - y1)^2

Step-by-step explanation:

(-2, 6) to (3, -2)

3 + 2 = 5^2 = 25 + 64 = 89.

√89

Answer:

y = 3x - 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

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

with (x₁, y₁ ) = (2, 2) and (x₂, y₂ ) = (3, 5) ← 2 points on the line

m = [tex]\frac{5-2}{3-2}[/tex] = [tex]\frac{3}{1}[/tex] = 3

The line crosses the y- axis at (0, - 4) ⇒ c = - 4

y = 3x - 4 ← equation of line

Answer:

6 days.

Step-by-step explanation:

Given that in a home economics class, 6 girls worked together and sewed a dress in 4 days, to determine how long it would have taken for 4 girls to make the same dress, the following calculation must be performed:

X / 6 = 4

X = 4 x 6

X = 24

24/4 = 6

Thus, the 4 girls will take 6 days to make the same dress that 6 girls made in 4 days.

Answer:

1) 3024 ways

2) 40320 ways

3) 5040 ways

Step-by-step explanation:

1) there are 3 boys and 6 girls. Thus, total number = 9 people.

There are four rows of chairs.

Thus, number of ways of being sitted is;

9P4 = 9!/(9 - 4)! = 3024 ways

2) number of ways = 8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1 = 40320 ways

3) since circular arrangement, then number of ways is; (n - 1)!

Thus,answer is; (8 - 1)! = 5040 ways

Answer:

The answer is C

Step-by-step explanation:

Answer:

Its c

Step-by-step explanation:

got it right on edge

Step-by-step explanation:

The correct answer is the photo