All categories

3 years ago

Find the product in simplest form. State any restrictions on the variable.

Mathematics

1 answer:

inn [45]3 years ago

4 0

Answer:

−x4−3x3−21x2−49x−6

--------------------------------

Step-by-step explanation:

if you have more problems search up algebra calculator

You might be interested in

4. In a women's professional tennis tournament, the money a player wins depends on her finishing place in the

Stels [109]

Using geometric sequence concepts, it is found that:

a) The rule is: $P_n = 750000(0.5)^{n-1}$ .

b) An exponential relationship exists between the two variables.

<h3>What is a geometric sequence?</h3>

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given by:

$a_n = a_1q^{n-1}$

In which $a_1$ is the first term.

A geometric sequence represents an exponential relationship between the variables.

In this problem, considering that the first-place finisher wins half of $1.500.000 in total prize money, and each finisher earns half of the one who finished above, the first term and the common ratio are given by:

$a_1 = 750000, q = 0.5$ .

Hence the nth term of the sequence is given by:

$P_n = 750000(0.5)^{n-1}$

More can be learned about geometric sequence concepts at brainly.com/question/11847927

#SPJ1

4 0

2 years ago

HELP ASAP PLEASEE!! a metal alloy weighing 4 mg and containing 20% iron is melted and mixed with 12 mg of a different alloy whic

saul85 [17]

Answer:

35 percent

Step-by-step explanation:

To solve this problem we multiply the amount by the percent and add them up to get the total amount times the percent

amount * percent + amount * percent = total amount * percent

4 * .20 + 12 * .40 = (4+12) * x

.8 + 4.8 = 16 x

Combine like terms

5.6 = 16x

Divide by 16

5.6/16 = 16x/16

.35 =x

35 percent

4 0

3 years ago

Giving brainliest :)

Verizon [17]

Answer:

$f^{-1}(x)=x^2+1$

Step-by-step explanation:

The inverse of a function is when the x and y are swapped. So the first step is to write f(x) as y and then swap the x and y

Original Equation:

$f(x)=\sqrt{x-1}\\$

write f(x) as y (since that's what it represents)

$y=\sqrt{x-1}$

Swap x and y

$x=\sqrt{y-1}$

Square both sides

$x^2=y-1$

Add 1 to both sides

$x^2+1=y$

So this gives you the equation:

$f^{-1}(x)=x^2+1$

8 0

2 years ago

ASAP!!!!!!!<br><br> y-13=4(x-2)

Juliette [100K]

Y-13=4(x-2)
y-13=4x-8
y=4x+5

5 0

3 years ago

4 The ratio of corresponding dimensions of two similar solids is 3/4. The surface

White raven [17]

4.

The ratio is 3/4 for corresponding dimensions, the ratio of their surface areas is equal to the square of this ratio:

$\sf (\dfrac{3}{4})^2=\dfrac{S}{96}$

Simplify the exponent:

$\sf \dfrac{9}{16}=\dfrac{96}{S}$

Cross multiply:

$\sf 9S=1536$

Divide 9 to both sides:

$\sf S\approx 170.7~m^2$

So the surface area of the second solid is 54 square meters.

The ratio is 3/4 for corresponding dimensions, the ratio of their volumes is equal to the cube of this ratio:

$\sf (\dfrac{3}{4})^3=\dfrac{720}{V}$

Simplify the exponent:

$\sf \dfrac{27}{64}=\dfrac{720}{V}$

Cross multiply:

$\sf 27V=46080$

Divide 64 to both sides:

$\sf V\approx 1706.7~m^3$

5.

A globe is a sphere, use the formula for the volume of a sphere:

$\sf V=\dfrac{4}{3}\pi r^3$

The radius is half of the diameter, so the radius here is 40/2 = 20. Plug it in the formula, use 3.14 to approximate for Pi:

$\sf V=\dfrac{4}{3}(3.14)(20)^3$

Simplify the exponent:

$\sf V=\dfrac{4}{3}(3.14)(8000)$

Multiply:

$\sf V\approx \boxed{\sf 33,493~in^3}$

6 0

4 years ago

Read 2 more answers