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saul85 [17]
4 years ago
6

Expand the following expression (x + 2)(x² – 3x - 1)

Mathematics
2 answers:
Cloud [144]4 years ago
4 0

Answer:

x^{3} - x^{2}  - 7x -2

Step-by-step explanation:

Give me brainllest

Inessa05 [86]4 years ago
3 0

Answer:

{x}^{3}  -  {x}^{2}  - 7x - 2

Step-by-step explanation:

(x + 2)( {x}^{2}  - 3x - 1)

Multiply the first term.

x \times  {x}^{2}  =  {x}^{3}

Multiply x by everything on the right, dont do x squared we already done that.

x \times  - 3x =  - 3 {x}^{2}

x \times  - 1 =  - x

Multiply 2 by everything on the left expect -1. ( that our next step).

2 \times  {x}^{2}  = 2 {x}^{2}

2 \times  - 3x =  - 6x

Multiply the last term, 2 and -1.

2 \times  - 1 =  - 2

Add like with like.

{x}^{3}  -  {x}^{2}  - 7x - 2

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Jan sold for more than three times the number of magazines Mel sold during the school fundraiser Morgan sold 40 more magazines t
pav-90 [236]

Answer: eyyyyyy my name is Jan what a coincidence

Step-by-step explanation:

3 0
3 years ago
3. John did 3 3/4 of his homework. Kate did 1 7/8 of her homework. How much more of their
tia_tia [17]

Answer:

Kate did 15/8 part more than that of John.

Step-by-step explanation:

Given that,

John did 3 3/4 of his homework while Kate did 1 7/8 of her homework.

We need to find how much more of their  homework did Kate do than John. It can be calculated as follows :

3 3/4 = 15/4

and

1 7/8 = 15/8

So,

Difference,

d=\dfrac{15}{4}-\dfrac{15}{8}\\\\=\dfrac{15}{8}

So, the required answer is 15/8.

4 0
3 years ago
x is no more than b and no less than a" may translate to a less then or equal to x less then or equal b. True or false
Irina18 [472]
I'm not sure what your saying but x is less or greater than b 

6 0
3 years ago
Use two unit multipliers to convert 628 kilometers to centimeters
irina [24]

Using two unit multiplier 628 km is equal to 62800000 cm

<u>Solution:</u>

628 kilometer to centimeter

We will go from kilometers to meters to centimeters.

Start by putting 628 km over 1:

\frac{628 km}{1}

We want to get rid of km and bring in m.

We know that 1000 m = 1 km.

Since km is in the numerator, we will make the  first unit multiplier by putting 1 km in the  denominator and 1000 m in the numerator, so the  km will cancel. So we multiply by the unit multiplier,

\frac{628 km}{1} \times \frac{1000m}{1km}

Now the km's will cancel:

\frac{628}{1} \times \frac{1000m}{1}

Now we want to get rid of m and bring in cm.

We know that 100 cm = 1 m.

Since meter is in the numerator, we will make the  first unit multiplier by putting 1 meter in the  denominator and 100 cm in the numerator, so the  meter's will cancel. So we multiply by the unit  multiplier

\frac{100cm}{1m}

\frac{628}{1} \times \frac{1000m}{1} \times \frac{100cm}{1m}

We cancel the m's and we end up with:

628 \times 1000 \times 100 cm

= 62800000 cm

Thus 628 km is equal to 62800000 cm

5 0
4 years ago
Consider the following problem: a farmer with 750 feet of fencing wants to enclose a rectangular area and then divide it into fo
nlexa [21]

Answer:

14,062.5ft^2

Step-by-step explanation:

A farmer has a given length of fencing. Since this fencing is used to enclose a rectangular area, before it is then divided it into four pens using the same provided fencing material. This will definitely lead to five lengths of fencing which come along one side of the rectangle to form four pens.

Let us assume that the length of the each of the five sides be xft.

Then let the length of each of the two sides in the be yft.

Since the total length of fencing available is 750 feet.

Then we can have an equation of such:

5x+2y=750

Making y the subject

2y = 750-5x

y = 750-5x/2. ........1

The area of the rectangular region is given by:

A = xy. ......... 2

Combining (1) in (2) to find the area

A(x)= x. (750−5x)/2

=750x−5x^2/2 ........... (*)

Going by the means of first diffential calculus.

A(x)=750x−5x^2/2

A'(x) = 750-10x/2

Setting A'(x) = 0

750-10x/2 = 0

750-10x = 2×0

750-10x = 0

750= 10x

x = 750/10

x = 75

Now that we have x = 75

We can now substitute into equation (*)

A(x) = 750×75-5×75^2/2

= (56250-28125)/2

= 28126/2

= 14062.5

Hence the rectangular region of maximum area is

14062.5ft^2

5 0
3 years ago
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