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3 years ago

Subtract 3x + 9y – 5z from the sum of 2x + 5y + 9z and 8x – 7y + 2z.

Mathematics

1 answer:

yawa3891 [41]3 years ago

3 0

Hope it helps

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What's the quotient of 13 divided by 1690?

Mnenie [13.5K]

1690 divided by 13 equals 130

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3 years ago

Calculate y as a function of X when dy / dx = 4 × 3 + 3 × 2 - 6 × + 5.

vivado [14]

Answer is Choice C

$\int (4x^3+3x^2-6x+5)dx = x^4 + x^3-3x^2+5x+C

$

I used the power rule for integrals.

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3 years ago

Barbara drives between Miami, Florida, and West Palm Beach, Florida. She drives 50 mi in clear weather and then encounters a thu

cluponka [151]

Answer:

Her speed driving in nice weather is 50 mph and in thunderstorm is 32 mph.

Step-by-step explanation:

Barbara drives 50 miles in clear weather and then encounters a thunderstorm for the last 16 miles.

Suppose, her speed in nice weather is $x$ mph.

As she drives 18 mph slower through the thunderstorm than she does in clear weather, so her speed in thunderstorm will be: $(x-18) mph$

We know that, $Time = \frac{Distance}{Speed}$

So, the time of driving in clear weather $=\frac{50}{x}$ hours

and the time of driving in thunderstorm $=\frac{16}{x-18}$ hours.

Given that, the total time for the trip is 1.5 hours. So, the equation will be......

$\frac{50}{x}+ \frac{16}{x-18}=1.5 \\ \\ \frac{50x-900+16x}{x(x-18)}=1.5\\ \\ \frac{66x-900}{x(x-18)}=1.5 \\ \\ 1.5x(x-18)=66x-900\\ \\ 1.5x^2-27x=66x-900\\ \\ 1.5x^2-93x+900=0\\ \\ 1.5(x^2 -62x+600)=0\\ \\ x^2 -62x+600=0\\ \\ (x-50)(x-12)=0$

Using zero-product property.........

$x-50=0\\ x=50\\ \\ and\\ \\ x-12=0\\ x=12$

We need to ignore $x=12$ here, otherwise the speed in thunderstorm will become negative.

So, her speed driving in nice weather is 50 mph and her speed driving in thunderstorm is (50-18) = 32 mph

3 0

3 years ago

a school held a tennis tournament. after each round one fourth of the players were eliminated. if there were 64 players at the s

Sveta_85 [38]

Answer:

If there are 32 teams in the tournament and 1 winner, there were 31 games. So, 63 - 31 = 32 games.

8 0

3 years ago

Read 2 more answers

If a line has a slope of 4 and contains the point (-2, 5), what is its equation in point-slope form?

Sveta_85 [38]

Answer:

The equation of the line is y = 4x + 13

Step-by-step explanation:

In this question, we want to write the equation of the line using the point slope form.

Mathematically, the point slope form can be represented as;

(y-y1) = m(x - x1)

where x1 = -2 , y1 = 5 and m which is the slope is 4

Plugging these values into the equation, we have;

(y-5) = 4(x - (-2))

y-5 = 4(x + 2)

y -5 = 4x + 8

y = 4x + 8 + 5

y = 4x + 13

8 0

3 years ago