MATHEMATICS MIDDLE SCHOOL

Simplify (8j^3 - 3j^2 + 5)-(4j^3+8j^2+7j-6)​

Answers

Answer 1
Answer:

Answer:

4j^3 + 5j^2 + 7j - 1

Step-by-step explanation:

(8j^3 - 3j^2 + 5)-(4j^3+8j^2+7j-6)​

Distribute the -1 in front of the (4j^3+8j^2+7j-6)​

8j^3 - 3j^2 + 5 - 4j^3 + 8j^2 + 7j - 6

We can combine anything with the same exponent number that "j" is raised to

8j^3 - 4j^3 = 4j^3

-3j^2 + 8j^2 = 5j^2

7j is just 7j since there is nothing else with just j in it

5 - 6 = -1

Add these together

4j^3 + 5j^2 + 7j - 1 is our final answer

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Looking around a farm, the number of chickens is four times the number of pigs. If there are a total of 48 legs between the chickens and the pigs, how many pigs are there on the farm?

Simplify the expression.

-p+3+2p-2p

Answers

 (3-2p)(2p-3) Final result : (3 - 2p)2 • -1 Step by step solution :Step  1  : 1.1    Rewrite  (2p-3)  as (-1) •  (3-2p) Multiplying Exponential Expressions :

 1.2    Multiply  (3-2p)  by  (3-2p) 

The rule says : To multiply exponential expressions which have the same base, add up their exponents.

In our case, the common base is  (3-2p)  and the exponents are :
          1 , as  (3-2p)  is the same number as  (3-2p)1 
 and   1 , as  (3-2p)  is the same number as  (3-2p)1 
The product is therefore,  (3-2p)(1+1) = (3-2p)2 

Final result : (3 - 2p)2 • -1

this is what i learned in school hope you understand
Combine Like Terms:=−p+3+2p+−2p=(−p+2p+−2p)+(3)=−p+3

Which fraction is equivalent to 9/13

Answers

18/26, 27/39, 36/52, there are more than one
Since it cant be simplified any further, we just multiply a constant to both the numerator and the denominator to find an equivalent fraction
(9*2)/(13*2)=(18)/(26)
or multiply by 3, or 4 and so on.........

Suppose the lengths of two sides of a right triangle are represented by 2x and 3 (x + 1), and the longest side is 17 units. Find the value of x.

Answers

Answer:

x=4

Step-by-step explanation:

Step 1:-

given the lengths of two sides of a right angle are represented by 2x and 3(x+1) and longest side is 17 units.

AB = 2x and BC = 3(x+1) and longest side AC= 17

by using Pythagoras theorem

AC^2 = AB^2 + BC^2

step 2:-

The hypotenuse is longest side is AC = 17 units

(17)^2 = 4x^2 +9(X+1)^2

on simplification, we will use formula

(a + b)^2 = a^2 +2ab+b^2

289 = 4x^2 +9(x^2+2x+1)

13x^2 +18x-280 = 0

finding factors  70 X 52 = 3640

13x^2 +70x-52x-280 = 0

13x^2 -52x+ 70x-280 = 0

Taking common , we get

13x(x-4)+70(x-4)=0

x-4=0 and 13x+70=0

x=4 and 13x =-70

x=4 and x=(-70)/(13)

we can not choose negative value so x value is 4

Final answer:- x = 4

verification:-

AC^2 = AB^2 + BC^2

289 = 4(4)^2+9(4+1)^2

289 = 64 +9(25)

289=289

Answer:

x = 4

Step-by-step explanation:

The length of two legs of a right angle triangle are 2x and 3(x+1).  

The length of longest side is 17 units. It means measure of hypotenuse is 17 units.

According to the pythagoras theorem,

leg_1^2+leg_2^2=hypotenuse^2

(2x)^2+(3(x+1))^2=(17)^2

4x^2+9(x^2+2x+1)=289

4x^2+9x^2+18x+9=289

13x^2+18x-280=0

On splitting the middle terms we get

13x^2+70x-52x-280=0

x(13x+70)-4(13x+70)=0

(13x+70)(x-4)=0

Using zero product property we get

13x+70=0\Rightarrow x=-(70)/(13)

x-4=0\Rightarrow x=4

The value of x can not be a negaive number, because for negative value of x the value of 2x is negative and side can not be negative.

Therefore, the value of x is 4.

The line plot shows the distances Marco has run so far this month. Marco will run two more days. He wants to run a total distance of 50 miles this month.complete the table to show two possible distances, in miles, Markel could read this month to meet his goal

Answers

3+9+11+6+7=36 ∴ he has to run 14 more miles so he can run 7 and 7 or 6 and 8.

PLEASE I REALLY DONT HAVE ENOUGH TIME PLEASE I BEG I REALLY NEED PLEASE I BEG YOU I DON'T MUCH TIME ONLY 1HOUR AND I NEED TO DO A LOT IF YOU MEDL PLEASE IPROMISE I PROMISE PLEASE HELP!!!!!!

Answers

First one is the second answer. 
(-3 < x < 0)
Second one is also the second answer.
(x < 5 or x > 11) 
Third one is the second answer and the last answer
(5 + 6x < 13)
(5 + 6x > -13)

There were 4 people in the room. Each has 3/5 of a bottle ink left. How many markers worth of ink were there in the room

Answers

To answer this you would just multiply 4*3/5 because 4 people have 3/5 ink left. The easiest way to do that is change 3/5 into a decimal.
3/5 = 0.6
4*0.6 = 2.4
So, there are 2.4 markers worth of ink in the room.
Hope this helps!
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