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3 years ago

14

What are the degree and leading coefficient of the polynomial? 5w^2 + 15 - w^4 + 9w

1 answer:

koban [17]3 years ago

8 0

Degree is 4 and coefficient is 1

You might be interested in

Suppose it takes 45 hours for robot A to construct a new robot. Working together with robot B, it takes 25 hours for both robots

Len [333]

Answer:

56 hours 25 minutes

Step-by-step explanation:

Given:

Suppose it takes 45 hours for robot A to construct a new robot

It takes 25 hours for both robots to construct a new robot.

Question asked:

How long would it take robot B to construct a new robot, working alone ?

Solution:

Let the time taken by robot B to construct new robot = $x$

<u>By robot A</u>

It takes 45 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{45} \ new\ robot$

<u>By robot B</u>

It takes $x$ hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{x}$ new robot

<u>By working together</u>

It takes 25 hours to construct = 1 new robot

It takes 1 hour to construct = $\frac{1}{25} \ new\ robot$

$\frac{1}{25}$ new robot is constructed in = 1 hour

<u><em>New robot is constructed by both working together in 1 hour = New robot is constructed by robot A in 1 hour + New robot is constructed by robot B in 1 hour </em></u>

$\frac{1}{25} =\frac{1}{45} +\frac{1}{x} \\$

Subtracting both sides by $\frac{1}{45}$

$\frac{1}{25}-\frac{1}{45} =\frac{1}{45} -\frac{1}{45}+\frac{1}{x} \\\\\frac{1}{25}-\frac{1}{45} =\frac{1}{x}\\\\ Taking\ LCM \ of \ 25\ and\ 45,\ we\ got\ 225$

$\frac{9-5}{225} =\frac{1}{x} \\ \\ \frac{4}{225} =\frac{1}{x}\\\\ By\ cross \ multiplication\\4\times x=225\\Dividing\ both\ sides\ by\ 4\\x=56.25\ hours$

Thus, robot B would take 56 hours 25 minutes to construct a new robot, working alone.

4 0

3 years ago

Read 2 more answers

I WILL MARK BRAINLIEST

vagabundo [1.1K]

Answer:

$\frac{81}{m^7}$

Step-by-step explanation:

We have a certain expression and are asked to find its equivalent with the answers provided :

$(3m^{-4} )^3(3m^5)$

Remove the parenthesis around 3m^5 :

$(3m^{-4} )^3*3m^5$

Do the exponent rule for outside and inside exponent parenthesis :

$(3m^{-4*3} )$

$3^3m^{-12} *3m^5$

Apply addition exponent rule :

$m^{-12} *3^{3+1} m^5$

Add :

$m^{-12} *3^4m^5$

Apply the addition rule for -12 + 5 :

$3^{4} m^{-7}$

Apply negative exponent rule for m^-7 :

$3^4*\frac{1}{m^7}$

Multiply the fractions :

$\frac{1*3^4}{m^7}$

$\frac{81}{m^7}$

3 0

3 years ago

An electrician needs 3/4 roll of electrical wire to wire each room in a house . How many rooms can he wire with 6 rolls

Makovka662 [10]

Answer:

8

Step-by-step explanation:

number of rooms=6÷3/4=6×4/3=8

7 0

3 years ago

Match the following equation to the correct situation.

uranmaximum [27]

Answer:

The equation given in the question matches the situation C.

Step-by-step explanation:

A. The amount that Cindy paid for books was 15% of p i.e. it is only $\frac{15p}{100} = 0.15p$

B. The amount is given to a charity after saving 15% of p. That means if p is the amount of charity, then there were a savings of 15% of p.

Therefore, the total charity payment after savings = p - 15% of p = $p - \frac{15p}{100} = p - 0.15p = 0.85p$

C. The amount that Sandy paid for a shirt with 15% tax on p.

Therefore, if the price of a shirt is p, then total payment of Sandy after tax is = p + 15% of p = $(p + \frac{15p}{100}) = p + 0.15p = 1.15p$

Hence, the equation given in the question matches the situation C. (Answer)

8 0

3 years ago

Write the equation x2+24x+60=0 in the form (x+p)2=q

navik [9.2K]

Answer:

(x+12)^2=84

Step-by-step explanation:

x^2+24x+60=0

x^2+24x=-60

x^2+24x+(24/2)^2=-60+(24/2)^2

(x+24/2)^2=84

(x+12)^2=84 (ans)

4 0

3 years ago