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pentagon [3]
2 years ago
11

What is the product of 2x+3 and 4x^2-5x+6 .

Mathematics
2 answers:
jolli1 [7]2 years ago
6 0

Answer:

8x3+2x2−3x+18

Step-by-step explanation:

I'm bad at explaining but trust me please

stira [4]2 years ago
3 0

Answer:

Explanation:

We have:

(

2

x

+

3

)

(

4

x

2

−

5

x

+

6

)

Now let's distribute this piece by piece:

(

2

x

)

(

4

x

2

)

=

8

x

3

(

2

x

)

(

−

5

x

)

=

−

10

x

2

(

2

x

)

(

6

)

=

12

x

(

3

)

(

4

x

2

)

=

12

x

2

(

3

)

(

−

5

x

)

=

−

15

x

(

3

)

(

6

)

=

18

And now we add them all up (I'm going to group terms in the adding):

8

x

3

−

10

x

2

+

12

x

2

+

12

x

−

15

x

+

18

And now simplify:

8

x

3

+

2

x

2

−

3

x

+

18Step-by-step explanation:

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Paul Walker

Step-by-step explanation:

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3 years ago
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The back of Jill's property is a creek. Jill would like to enclose a rectangular area, using the creek as one side and fencing f
uranmaximum [27]

Answer:

A= 125*250=31250 ft^2

Step-by-step explanation:

Let's define some notation first :

w= width , l = length , A= Area, P perimeter

For this case we want to maximize the Area given by this function:

A= l w   (1)

With the following restriction P=500 ft

We know that the perimeter on this case is given by:

P=2w +l

Since they are using the creek as one side.

So then we have this:

500 =2w +l   (2)

Now we can solve w in terms of l from eqaution (2) and we got:

w=\frac{500-l}{2}   (3)

And we can replace this condition into equation (1) like this:

A= \frac{500-l}{2} l =250l - \frac{1}{2} l^2

And we can maximize this function derivating respect to l and we got:

\frac{dA}{dl}= 250 -l=0

And then we got that l=250

And if we solve for w from equation (3) we got:

w=\frac{500-250}{2}=125  

And then the dimensions would be:

l =250ft , w=125ft

And the area would be:

A= 125*250=31250 ft^2

7 0
3 years ago
(S
dolphi86 [110]

Answer:

26.59 minutes

Step-by-step explanation:

Let's say the time needed to do the driveway combined is x. Sue does y parts of the driveway, and Tom does z parts of the driveway. Combined, y + z = 100% = 1, as they finish the whole driveway.

Next, Tom will take 45 * z minutes to do his part of the driveway. For example, if he did 50% = 0.5 of the driveway, he would take 45 * 0.5 = 22.5 minutes to do it. Similarly, Sue will take 65 *y minutes to do her part of the driveway. Since they will finish at the same time, we can say

45 * z = 65 * y

y + z = 1

Therefore, if we subtract y from both sides of the second equation, we have

z = 1-y

We can then plug 1-y in for z in the first equation to get

45 * (1-y) = 65 * y

45 - 45*y = 65*y

add both sides by 45 * y to separate the y values and their coefficients

45 = 110 * y

divide both sides by 110 to find y

y = 45/110 = 0.409

Use 1-y=z to get z = 1-0.409 = 0.59

Therefore, 45*z = 26.59 = 65*y

5 0
3 years ago
What is the standard notation for the distance of 2.4x10^5 miles
Dmitrij [34]

Answer:

240,000

Step-by-step explanation:

You have to add 4 zeros to the answer and remove the decimal point to get the answer.

If you liked this answer please mark "Brainliest".

6 0
3 years ago
It gets cut off but it says ' Write the number marked with an arrow on the number line below as an improper (top-heavy) fraction
Anit [1.1K]

Answer:

1.2

Step-by-step explanation:

it's 1.2 because

the marked parts on the number line represent a fraction of the whole

so in writing this

it will be decimals

and wen the marked lines between 0 and 1 are counted it is 4

so starting each marked line represent 2

so

0.2,0.4,0.6,0.8,1,1.2,1.4,......

so from 1 the next marked part is 1.2

so the answer is <u>1.2</u>

7 0
3 years ago
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