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4 years ago

Find each sum or difference. Show your work. (x^3+2)+(-3x^3-5) Plz help!

Mathematics

1 answer:

Sindrei [870]4 years ago

3 0

Because before parentheses is plus , we can simply remove parentheses
x³+2-3x³-5= (x³-3x³)+(2-5)=-2x³-3

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a building is drawn with a scale of 1in :3ft. The height of the drawing is 1ft 2in. After a design change, the scale is modified

Inessa [10]

46 feet tall is how tall the new drawing is.

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4 years ago

Ethan and Sam work at different department stores. Ethan is paid 125$ per week and an 8% commission on sales, while Sam is paid

kkurt [141]

Answer:

3750$

Step-by-step explanation:

Let x be the amount in dollars of sales:

125 + 0.08x = 200 + 0.06x (when Ethan and Sam earn the same weekly income)

0.02x = 75

x = 3750

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3 years ago

Tomos is a skier he completed a ski race in 2 min 6 seconds

Varvara68 [4.7K]

Answer: $3\ min\ 12\ s$

Step-by-step explanation:

The complete exercise is: "Tomos is a skier he completed a ski race in 2 min 6 seconds the race was 525 m in length. Tomos assumes that his average speed is the same for each race. using this assumption, work out how long tomos should take to complete an 800 m race give your answer in minutes and seconds"

For this exercise you can use the following formula to find the average speed :

$V=\frac{d}{t}$

Where "d" is the distance and "t" is the time.

In this case, based on the information given in the exercise, you can identify that:

$d=525\ m$

Since he completed a ski race in 2 min 6 seconds, and 1 minute has 60 seconds, you ge that this time in seconds is:

$t=120\ s+6\ s=126\ s$

Substitute these values into the formula to find the average speed:

$V=\frac{525\ m}{126\ s} \\\\V=\frac{25}{6\ }\frac{m}{s}$

The formula for the time is:

$t=\frac{d}{V}$

Knowing that Tomos assumes that his average speed is the same for each race, for the 800 meters race you can identify that:

$V=\frac{25}{6\ }\frac{m}{s}\\\\d=800\ m$

So, substituting values into the formula and evaluating, you get that the time it takes him to complete this race is:

$t=\frac{800\ m}{ \frac{25}{6\ }\frac{m}{s}}\\\\t=192\ s$

Convert from seconds to minutes:

$(192\ s)(\frac{1\ min}{60\ s} )=3.2\ min$

Converting 0.2 minutes to seconds, you get:

$(0.2\ min)(\frac{60\ s}{1\ min} )=12\ s$

Therefore:

$t=3\ min\ 12\ s$

8 0

3 years ago

Y = -5/3x +3 and Y = 1/3x -3

ratelena [41]

Answer:

(X , Y) = (3 , -2)

Step-by-step explanation:

Assuming this is solved via the comparison method ...

-5/3x+3 = 1/3x-3 which gets you x = 3

Now, substitute the given value of x into the equation, y=1/3x-3(-3)

Solve for Y, Y=-2

The possible solution of the system is the ordered pair (X , Y)

(3 , -2)

7 0

3 years ago

Sally says, "If it's sunny, I will go to the park. When I go to the park, I go down the slide."

nikitadnepr [17]

Answer:

I can conclude that Sally went down the slide. I used deductive reasoning to get my answer. Sally said that if it was sunny, she would go to the park. She also said that if she does go to the park, she will go down the slide. Since Sally did go to the park, I know that she did go down the slide. Based on the information I have, I can use deductive reasoning to get to my answer.

Step-by-step explanation:

5 0

3 years ago