help struggling on this

Answer:

C

x-2 / x+6

Step-by-step explanation:

I did the math

(I am not 100% sure though, so if I am wrong, someone please mention it!)

The function f(x) . g(x) is a composite function, and the value of f(x) . g(x) is (x- 2)/(x + 6)

A composite function is a function formed by combining multiple independent functions

The functions f(x) and g(x) are given as:

[tex]f(x) = \frac{x + 12}{x^2 + 4x- 12}[/tex]

[tex]g(x) = \frac{4x^2 - 16x+ 16}{4x+ 48}[/tex]

The composite function f(x) . g(x) is calculated using:

[tex]f(x) \cdot g(x) =\frac{x + 12}{x^2 + 4x- 12} * \frac{4x^2 - 16x+ 16}{4x+ 48}[/tex]

Expand the functions

[tex]f(x) \cdot g(x) =\frac{x + 12}{x^2 + 4x- 12} * \frac{4(x^2 - 4x+ 4)}{4(x+ 12)}[/tex]

Cancel out the common factors

[tex]f(x) \cdot g(x) =\frac{1}{x^2 + 4x- 12} * \frac{x^2 - 4x+ 4}{1}[/tex]

Further, expand

[tex]f(x) \cdot g(x) =\frac{1}{(x -2)(x + 6)} * \frac{(x - 2)(x - 2)}{1}[/tex]

Cancel the common factors

[tex]f(x) \cdot g(x) =\frac{x- 2}{x + 6}[/tex]

Hence, the value of f(x) . g(x) is (x- 2)/(x + 6)

Read more about composite functions at:

https://brainly.com/question/10687170

#SPJ2

Answer:

x= 1/3 y + -10/3

Step-by-step explanation:

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The absolute value function makes no change to a non-negative argument. Here, the argument (x+3) will be non-negative when ...

  x + 3 ≥ 0

  x ≥ -3 . . . . . . condition for the first line

__

When the argument is negative, the absolute value function multiplies it by -1. So the function on the second line is ...

  -1(x+3) = -x -3

and the condition on the second line is ...

  (x +3) < 0

  x < -3 . . . . . condition on the second line

Answer:

It is h ≤ 7

Step-by-step explanation:

Answer:

The answer is C.

hope it helps

Answer:

x=-1/3y+4/3

Step-by-step explanation:

-3x+4=y

-3x+4+-4=y+-4

-3x=y-4

-3x/-3=y-4/-3

x=-1/3y+4/3

Answer:

the second one three over two

Step-by-step explanation:

because the decimal version of that is 1.5

Answer:

I think the answer should be Mat A cause it has more space.

Answer:

4

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

none of the others match to the red triangle

Answer:

500

Step-by-step explanation:

brainliest pls

Answer:

$507

Step-by-step explanation:

you should use desmos :)

Answer:

507

Step-by-step explanation:

650 x 78 / 100 = 507

Hope this helps!

Answer:

6700000000

Step-by-step explanation:

6.7×10^9

(67×10^-1) × (10^9)

(67×)^-1+9

67^8

6700000000

Answer:

the answer is B

Step-by-step explanation:

just add all the known values and minus that from 360 then divide it by 2

Answer:

lkrkfkfkfnfnfnfnfnf

Answer: y-5/x =2/1 for the two triangles on the graph are similar

Y-5=2x for multiple both sides by x

Y=2x+5 for add 5 to both sides

Step-by-step explanation:

Answer: 2:55 PM

Step-by-step explanation:

Given

The length of the movie is 2 hour and 35 minutes

If the movie is finished at 5:30 PM

First, subtract 2 hours from the finishing time i.e.

[tex]=5:30\ \text{PM}-2\ \text{hr}\\=3:30\ \text{PM}[/tex]

Now, subtract 35 minutes into two parts i.e. 30 min and 5 min from 3:30 PM

[tex]=3:30\ \text{PM}-30\ \text{min}\\=3:00\ \text{PM}[/tex]

remaining 5 min

[tex]=3:00\ \text{PM}-05\ \text{min}\\=2:55\ \text{PM}[/tex]

Thus, the starting time is 2:55 PM

Answer:

Step-by-step explanation:

Given,

Dimensions of the bed

[tex] = 3in. \: \: by \: \: 2 \frac{2}{3} in. \: \: by \: \: \frac{1}{3} in.[/tex]

Therefore,

Volume of the bed

[tex] = (3 \times 2 \frac{2}{3} \times \frac{1}{3} ) {in}^{3} [/tex]

[tex] = (2 \frac{2}{3} \times 1) {in}^{3} [/tex]

[tex] = 2 \frac{2}{3} {in}^{3} \: (ans)[/tex]

Answer:

V= 112

Step-by-step explanation:

L * w * h  then divide by 3

Answer:

112 in.

Step-by-step explanation:

Volume = Length x Width x Height

Volume = 7 in x 6 in x 8 in

Volume = 336 in.

336 divide by 3 = 112 in

Mark me as brainliest!!

Answer:

480 in²

Step-by-step explanation:

The Pythagorean Theorem is a²+b²=c², where "a" and "b" are side lengths of a right triangle, and c is the hypotenuse of the right triangle. We are given a side length of 30 inches and a hypotenuse of 34 inches, which will be "a" and "c" respectively. Therefore, we can solve for b, the missing side length:

a²+b²=c²

30²+b²=34²

900+b²=1156

b²=256

b=16

Therefore, the missing side length is 16 inches, making the area of the triangle A=bh=(30)(16)=480 in².

Answer:

The area is 240

plz mark brainliest

Answer:

No se wey

Step-by-step explanation:

Answer:

yo no se que es esa?

Step-by-step explanation:

yo hablo un poco español pero no mucho por eso yo no se que "mames wey" significa

Answer:

92.99

Step-by-step explanation:

Mean, μ = 122.6

Standard deviation, σ = 18

Recall :

Z = (x - μ) / σ

x = score

The Zscore for the lower 5% = 0.05

Using, invnorm(0.05) = - 1.645

Put Z = - 1.645

-1.645 = (x - 122.6) / 18

-1.645 * 18 = x - 122.6

-29.61 = x - 122.6

-29.61 + 122.6 = x

x = 92.99

Answer:

a) y = 2x - 3      and  b) y = -15

Step-by-step explanation:

a) Solve for y

6x - 3y =9

-3y = -6x + 9

Divide by -3, neg/neg = pos

y = 2x - 3

b) x = -6

y = 2x - 3

y = 2(-6) - 3

y = -12 - 3

y = -15

As triangle is right angled, we can possibly use the Pythagoras theroam.

By pythgoras theoram;

= H² = B² + P²

= 10² = x² + x²

= 10² = x⁴

=⁴√ 10² = x

= 10²×¼ = x

= 10½ = x

= √10 = x

= 3.16 = x

So the value of x is 3.16 cm

(Hypotenuse)² = (Base)²+ (Perpendicular)²

Taking, Hypotenuse As H

Base As B

Perpendicular As P

_________________________

H= 10cm

B= x cm

P= x cm

__________

H²= B²+P²

10²= x²+x²

=> 100= 2x²

=> √100= 2x

=> 10=2x

=> x=10/2

=> x= 5

Answer:

3. n = 7

4. n = 10

5. n = -5

6. n = -9

Step-by-step explanation:

7978 years

Step-by-step explanation:

A = A02^(-t/hl)

where hl = half-life.

Dividing both sides by A0 and taking the logarithm, we get

ln(A/A0) = -(t/hl)ln2

or solving for t,

t= -(hl)ln(A/A0)/ln2

note that A/A0 = 0.38

t = -(5715 yrs)[ln(0.38)/ln2]

= 7978 years

Answer:

A

Step-by-step explanation:

Since a quadrilateral has 4 sides and 4 vertices, and in figure A there are only 2 vertices the other 2 are curves and therefore figure A is not a quadrilateral.

Hope this helps!

Answer:

Top/Bottom: 300[tex]cm^{2}[/tex]

Front/Back: 1020[tex]cm^{2}[/tex]

Sides:  340[tex]cm^{2}[/tex]

Surface Area: 3320[tex]cm^{2}[/tex]

Volume: 10200[tex]cm^{3}[/tex]

Step-by-step explanation:

Top/Bottom: 30×10=300[tex]cm^{2}[/tex]

Front/Back: 30×34=1020[tex]cm^{2}[/tex]

Sides:  34×10=340[tex]cm^{2}[/tex]

Surface Area: Front+Back+Side1+Side2+Top+Bottom=3320[tex]cm^{2}[/tex]

Volume: [tex]l*w*h[/tex] = 30×10×34=10200[tex]cm^{3}[/tex]

Answer:

One of the principals of water is that it is fluid at room temperature

Step-by-step explanation:

Answer:

y = 6

Step-by-step explanation:

Perform the indicated multiplication:  6y + 12 = 8y

Consolidate y terms on the right:                12 = 8y - 6y = 2y, or y = 6