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2 years ago

Given the expression 5a2b2 − 13ab + 7a3 − 4b, do the following as instructed below:

Mathematics

1 answer:

ozzi2 years ago

8 0

1. descending order (greatest to least): 7a3+5a2b-4b-13ab
2. classification: 4 terms
3. the degree: 3

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What does <img src="https://tex.z-dn.net/?f=4%21" id="TexFormula1" title="4!" alt="4!" align="absmiddle" class="latex-formula">

Alex_Xolod [135]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

Is x^ 2 - 16 the difference between two squares? Why?

bearhunter [10]

Answer:

x1= -4

x2 = 4

Step-by-step explanation:

Set the equation equal to zero

x2 − 16 = 0

then

(x + 4)(x − 4) = 0

(x+4)= 0 which is equal to -4

and

(x-4)= 0 equals 4

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3 years ago

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Dave can complete a sales route by himself in 4 hours. James can do the same job in 5 hours. How long will it take them to do it

Alexeev081 [22]

We can solve this problem by calculating the individual rate of working and equate it to their total rate of working.

If Dave can complete a sales route in 4 hours, then his working rate is

$\frac{1}{4}$

Also, if James can do it in 5 hours, then his working rate is

$\frac{1}{5}$

Let
$x$
be the hours that both will use to complete the sales route,

Then rate at which both completes this task is
$\frac{1}{x}$

Meaning if we add their individual rates we should get

$\frac{1}{x}$

That is;

$\frac{1}{4} + \frac{1}{5} = \frac{1}{x}$

The LCM is
$20x$

So let us multiply through with the LCM.

$20x \times \frac{1}{4} + 20x \times \frac{1}{5} =20x \times \frac{1}{x}$

$5x + 4x = 20$

We simplify to get,

$9x = 20$

Dividing through by 9 gives;

$x = \frac{20}{9}$

$x = 2\frac{1}{9}$

Therefore the two will complete sales route in
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3 0

3 years ago

Represent the arithmetic series using the recursive formula.<br><br> 94, 89, 84, 79, …

Gnom [1K]

Answer:

f(1)=94,f(n)=f(n-1)-5

Step-by-step explanation:

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2 years ago

an automobile 16 feet long overtakes a truck that is 28 feet long and is traveling 30 mph. At what rate must the automobile trav

Oduvanchick [21]

<h2>Automobile must travel at 96 mph to pass the truck in 4 seconds.</h2>

Step-by-step explanation:

Length of automobile = 16 feet = 4.88 m

Length of truck = 28 feet = 8.53 m

Speed of truck = 30 mph = 48 km/h = 13.33 m/s

Time in which automobile to pass truck = 4 s

Distance traveled by truck in 4 seconds = 4 x 13.33 = 53.33 m

Distance which need to cover by automobile in 4 seconds to pass truck is the sum of length of automobile, length of truck and distance traveled by truck in 4 seconds.

Distance which need to cover by automobile in 4 seconds = 4.88 + 8.53 + 53.33

Distance which need to cover by automobile in 4 seconds = 66.74 m

Distance = Speed x Time

66.74 = Speed x 4

Speed = 16.69 m/s = 60 km/h = 96 mph

Automobile must travel at 96 mph to pass the truck in 4 seconds.

8 0

3 years ago