If f(x) = x3 + x – 3 and g(x) = x2 + 2x, then what is (f + g)(x)?

Answer:

90

Step-by-step explanation:

Answer:

B) y=0

Step-by-step explanation:

The exponential function shown has a horizontal asymptote at the line y=0, which means that y will approach 0 as the value of x decreases. Therefore, B is correct.

9514 1404 393

Answer:

  ∠SPR = 48°

Step-by-step explanation:

The relevant relations are ...

Since PR is a diameter, triangle PQR is a right triangle with angle PQR being the right angle.

This makes ∠PRQ complementary to ∠RPQ:

  ∠PRQ = 90° -28° = 62°

Exterior angle RTS is the sum of interior angles TRQ and TQR, so angle TQR can be found to be ...

  110° = 62° +∠TQR

  ∠TQR = 110° -62° = 48° = ∠SQR

__

Angle TQR, also angle SQR, subtends arc SR, so is the same measure as angle SPR, which also subtends the same arc.

  ∠SPR = 48°

Answer:

16cm

Step-by-step explanation:

63 = 20 + 27 + x

Answer:

t = 4.7 days

Step-by-step explanation:

The half life formula is

N = No * e ^ (-kt)

Where No is the initial amount of the substance

N = 45 e ^ (-.1483 t)

We want 1/2 of the substance left

22.5 is half of 45 grams

22.5 = 45 e ^ (-.1483 t)

Divide each side by 45

1/2 = e ^ (-.1483 t)

Take the natural log of each side

ln(1/2) = ln (e ^ (-.1483 t))

ln(1/2) = -.1483t

Divide each side by -.1483

ln(1/2) / -.1483 = t

t=4.67395

Rounding to the nearest tenth

t = 4.7 days

Answer:

[tex]7.5\ units^2[/tex]

Step-by-step explanation:

The formula to find the area of a trapezoid is the following,

[tex]A=(h)(\frac{(b_1)+(b_2)}{2})[/tex]

Where ([tex]h[/tex]) represents the heights of the trapezoid, ([tex]b_1[/tex]) and ([tex]b_2[/tex]) represent the bases of the trapezoid, or rather the two parallel sides of the trapezoid.

One is given all of these values in the picture,

[tex]h = 2.5\\\\b_1 = 2\\\\b_2 = 4[/tex]

Substitute these values into the formula and solve for the area of the trapezoid,

[tex]A=(2.5)(\frac{(2)+(4)}{2})[/tex]

Simplify,

[tex]=(2.5)(\frac{6}{2})\\=(2.5)(3)\\=7.5[/tex]

Answer:

I think the answer is 20!!!!!

Answer:

63 coins

Step-by-step explanation:

I am going to assume you are asking how many dollar coins are in the bag, I apologize if I am wrong.

So first, set up the problem. The total number is 517.6 and each coin weighs 8.1

So you would divide 517.6 by 8.1 to get 63.9012346 (which has too many decimal points so round)

But rounding up would get the wrong number because it would be too light for the amount of coins said to be in there, but rounding down gives you 63.

So 63 times 8.1 is 510.3 and the total could consider the weight of the bag into the total 517.6.

Answer:

4. (w² + 6)(w² - 6)

Step-by-step explanation:

w^4 - 36

(w² + 6)(w² - 6)

Answer:

6a+6b

by distributive property

Step-by-step explanation:

Answer:

6a+6b

Step-by-step explanation:

6(a+b)

Use the distributive property to multiply 6 by a+b.

6a+6b

Answer:

Step-by-step explanation:

direction=y-component/x-component

tan theta =6/-1

tan theta=-6

theta=[tex]tan^{-1}[/tex]-6

theta=180 -80.53

theta=99.47°

therefore the direction of the given vector line is 99.47°

Answer:

270 m^2

Step-by-step explanation:

1. Write down your formula.  It is V= 1/3 Bh

2. Plug in your numbers.  Your new formula is V= 1/3 (81)(10)

3. Simplify the expression to get 270.

Answer:

x = 8

Step-by-step explanation:

To get x, we will use the pythagoras theorem;

10² = x² + (12/2)²

100 = x² + 6²

100 = x² + 36

100 - 36 = x²

64 = x²

Swap

x² = 64

x =√64

x = 8

Hence the value of x is 8

Answer:

0.05 = 5/100

sqrt(0.05] = sqrt(5/100) = sqrt(5)/sqrt(100) = 2.24/10 = 0.224

0.0005 = 5/10000

sqrt [0.0005) = sqrt(5/10000) = sqrt(5)/sqrt(10000) =

= 2.24/100 = 0.0224

0.5 = 50/100

sqrt(0.5) = sqrt(50/100) = sqrt(50)/sqrt(100) = 7.07/10 =

= 0.707

0.005 = 50/10000

sqrt(0.005) = sqrt(50/10000) = sqrt(50)/sqrt(10000) =

= 7.07/100 = 0.0707

Step-by-step explanation:

it would be nice, if you could truly type the full and real question.

you mean sqrt(50) = 7.07

right ?

this assumption leads to the answers above.

24-8 (difference) = 16

16/ 2 numbers = 8 is smallest number

8 + 8(difference) = 16 is largest number

The smaller number is 8

Step-by-step explanation:

everything can be found in the picture

Answer:

Pueden jugar 10 partidas en 25 minutos.

Step-by-step explanation:

Sabemos que el tiempo de una partida es:

t = 2min + 30 seg

Queremos saber cuantas partidas se pueden jugar en un total de 25 minutos.

Esto es simplemente igual a la cantidad de veces que podemos "meter" 2 minutos y 30 segundos en 25 minutos, que está dado por el cociente:

N = (25 min)/(2min + 30 seg)

Pero para resolver esto, primero tenemos que tener todos nuestros valores en las mismas unidades.

Sabiendo que 60 se  = 1 min

entonces:

30 seg = (30/60) min = 0.5 min

Entonces podemos reescribir:

t = 2 min + 30 seg = 2 min  + 0.5 min = 2.5 min

Ahora podemos resolver el cociente:

N = (25 min)/(2.5 min) = 10

Esto significa que pueden jugar 10 partidas en 25 minutos.

Answer:

C. 32 3/8

Step-by-step explanation:

First, divide the fraction and the 4 into two equations. This makes 7 x 4 and 7 x 5/8. Then multiply both to get 28 and 35/8. Then convert 35/8 into a mixed number to get 4 3/8. Then add 28 + 4 3/8 to get 32 3/8.

Answer:

it would be choice 3

3⅜

Step-by-step explanation:

hope it helps you :)

Answer:

A. -0.8

Step-by-step explanation:

non of the other answers will work because they are positive.

Answer:

A, y = -0.8

Step-by-step explanation:

To solve this, you have leave the y alone.

Subtract 4.2 from both sides.

y + 4.2 - 4.2 = 3.4 - 4.2

y = 3.4 - 4.2

y = -0.8

Answer:

Reflection across the x-axis.

Answer:

a. 120/w = l

120/l = w

b. l times w = 120

Step-by-step explanation:

Step-by-step explanation:

120/W=1

120/W= I

I =W is equal to 10

[tex]\implies {\blue {\boxed {\boxed {\purple {\sf { \:A. \:- 8 {b}^{4} + 10 {b}^{3} + 10b}}}}}}[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}[/tex]

[tex](7b + 7 {b}^{3} - 6 {b}^{4} ) + (3 {b}^{3} + 3b - 2 {b}^{4} )[/tex]

➼[tex] \: 7b + 7 {b}^{3} - 6 {b}^{4} + 3 {b}^{3} + 3b - 2 {b}^{4} [/tex]

Combining like terms, we have

➼[tex] \: - 6 {b}^{4} - 2 {b}^{4} + 7 {b}^{3} + 3 {b}^{3} + 7b + 3b[/tex]

➼[tex] \: - 8 {b}^{4} + 10 {b}^{3} + 10b[/tex]

[tex]\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}[/tex]

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⊹˚ʚ ❑Answer︰400 centimeters!!

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

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Answer:

1-4=-3

-1-4=-5

-1+4=3

1-|-4|=5

Answer:

[tex]1-4=-3\\-1-4=-5\\-1+4=3\\1-(-4)=5[/tex]

Step-by-step explanation:

The hardest part about negative numbers in addition is remembering when to add, rather than subtract. In the last equation, we add the numbers together, because the negative sign cancels out with subtraction. All of the other equations we can follow exactly what it says to do, because there are no minus signs right next to each other.

Answer:

b

Step-by-step explanation:

ANSWER:

It should be B but could be wrong

Note: The second expression must be [tex][(-3)+(-7)]+(-6)[/tex] instead of [tex][3+(-7)]+(6)[/tex]

Given:

The given expression is:

[tex]-3+[(-7)+(-6)][/tex]

Rahal rewrites the expression as:

[tex][(-3)+(-7)]+(-6)[/tex]

To find:

The property that Rahal use to rewrite the expression.

Solution:

According to the associative property of addition, if a, b and c are three real numbers, then

[tex]a+(b+c)=(a+b)+c[/tex]

We have,

[tex]-3+[(-7)+(-6)][/tex]

Using the associative property of addition, we get

[tex]-3+[(-7)+(-6)]=[(-3)+(-7)]+(-6)[/tex]

Therefore, the required property is associative property of addition.

Answer:

n < -2

Step-by-step explanation:

-2n – 2 > 2

-2n (– 2 + 2) > 2 + 2

-2n > 4

-2n/-2 > 4/-2

n < -2

Answer:

the answer is B

Answer:

Step-by-step explanation:

The exponential decay function is

[tex]v(t)=a(b)^t[/tex] where a is the initial value of the car, b is the rate of decay, and t is the time in years. Our rate of decay can also be written as (1 - r) where r is the depreciation in decimal form. Our equation looks like this:

[tex]v(t)=10000(1-.07)^t[/tex] which simplifies to

[tex]v(t)=10000(.93)^t[/tex] Now we can solve our problem for any number of years you'd like. We've been tasked to find the value of the car after 3 years, so:

[tex]v(t)=10000(.93)^3[/tex] which simplifies a bit to:

[tex]v(t)=10000(.804357)[/tex] so

v(t) = 8043.57