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3 years ago

You are meant to Subtract the Polynomial Expressions

Mathematics

2 answers:

Deffense [45]3 years ago

7 0

Answer:

it should be: −2b2+17b−15

Step-by-step explanation:

WINSTONCH [101]3 years ago

7 0

Answer:

$-2b^2+17b-15$ is your answer. I hope this helps! Let me know if I got anything wrong or if you need any help.

Step-by-step explanation:

$(b^2+13b-9)-(6-4b+3b^2)$

Expland the brackets.

$b^2+13b-9-6+4b-3b^2$

Add like terms.

$-2b^2 + 13b - 9-6+4b$

$-2b^2+17b-9-6$

$-2b^2+17b-15$

$-2b^2+17b-15$ is your answer. I hope this helps! Let me know if I got anything wrong or if you need any help.

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Which point on the number line shows the graph of -11/2

MatroZZZ [7]

-11/2 is equal to -5.5 so find the point on the number line closest to -5.5

3 0

4 years ago

The sum of the digits of a 2-digit number is 10. If 18 is added to the number, the digits of the new number are those of the ori

Aliun [14]

Answer:

Step-by-step explanation:

Let $(ab)$ represent a number with $a$ in the ten's position and $b$ is the one's position.

This means $(ab)$ actually has value of $10a+b$ .

We are given the sum of those digits of $(ab)$ is 10; this means $a+b=10$ .

It says if 18 is added to the number $(ab)$ , then the result is $(ba)$ .

So $(ab)$ has value $10a+b$ and

$(ba)$ has value $10b+a$ .

We are given then:

$(ab)+18=(ba)$

$10a+b+18=10b+a$

Subtract $10a$ on both sides:

$b+18=10b+a-10a$

Simplify:

$b+18=10b-9a$

Subtract $b$ on both sides:

$18=10b-b-9a$

$18=9b-9a$

Divide both sides by 9:

$2=b-a$

Rearrange by commutative property:

$2=-a+b$

So the system of equations we want to solve is:

$a+b=10$

$-a+b=2$

-------------------------Add equations together (this will eliminate the variable $a$ and allow you to go ahead and solve for $b$ :

$0+2b=12$

$2b=12$

Divide both sides by 2:

$b=\frac{12}{2}$

Simplify:

$b=6$

If $b=6$ and $a+b=10$ , then $a=4$ . $a=4$ since 4+6=10.

So the original number is (46).

18 more than 46 is 18+46=(64) which is what we wanted.

We also have the sum of 4 and 6 is 10 as well.

7 0

4 years ago

The table represents the speed of Frog A at a frog-jumping contest. Frog B travels 2 feet each second. If the course is 20 feet

Black_prince [1.1K]

Answer:

Frog b

Step-by-step explanation:

8 0

4 years ago

Read 2 more answers

LAST ONE THEN IM GONE TILL NEXT YEAR<br> jk not really

In-s [12.5K]

Answer:

The point is in Quadrant IV.

Step-by-step explanation:

In 4th quadrant, the abscissa is positive and the ordinate is negative. Thus, (-4,7) lies in the 3rd quadrant. (4,7) lies in the 1st quadrant.

6 0

3 years ago

Read 2 more answers

A family is taking a picture, with everyone in the family standing in a row. In the family, there are two sets of twins. In how

Wittaler [7]

Answer:

376320.

Step-by-step explanation:

Given:

There are two sets of twins in a family.

Total family member = 9

Solution:

Let family members = AA BB C D E F G

<u>AA and BB are two set of twins .</u>

First of we will find the arrangements of 5 family member ( 9 - 4 = 5 )

No of ways 5 family member can seat = $^{5}P_{5}$

Now, we will find the arrangements of BB.

As given that nobody is sitting next to their twin, means A twins cannot seat together.

Therefore, they can seat in these blank places given below:

......B.......B......C......... D...... E........ F........ G.......... in $^{8}P_{2}$

Similarly, B twins cannot seat together.

Therefore, they can seat in these blank places given below:

......A.......A......C......... D...... E........ F........ G.......... in $^{8}P_{2}$

Total number of arrangements of all family members = $^{5}P_{5}$ $\times$ $^{8}P_{2}$ $\times$ $^{8}P_{2}$

$=\frac{5!}{5-5!} \times\frac{8!}{8-2!} \times\frac{8!}{8-2!}\\=\frac{5!}{0!}\times\frac{8!}{6!} \times\frac{8!}{6!}\\\\=5!\times\frac{8\times7\times6!}{6!} \frac{8\times7\times6!}{6!}$

$=5\times4\times3\times2\times1\times56\times56\\=376320$

Therefore, Total number of arrangements of all family members is 376320.

5 0

4 years ago