if A=x² +xy-6, B=6xy-2x² +1 and C= 3x² +7 -3xy,find :(i) A+B+C​ (ii)A-B+C (iii)A+B-C​

Answers

Answer 1

Answer:

I)

[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]

II)

[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]

III)

[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]

Step-by-step explanation:

We are given the three equations:

[tex]\displaystyle A = x^2 + xy -6,\, B = 6xy - 2x^2 +1 \text{ and } C = 3x^2 + 7 -3xy[/tex]

I)

We want to find:

[tex]\displaystyle A + B + C[/tex]

Substitute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy -2x^2 + 1) + (3x^2 + 7 -3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 + 3x^2 - 2x^2) + (xy + 6xy - 3xy) + (-6 + 1 + 7)[/tex]

And combine like terms. Hence:

[tex]\displaystyle A + B + C = 2x^2 + 4xy + 2[/tex]

II)

We want to find:

[tex]\displaystyle A - B + C[/tex]

Likewise, substitute:

[tex]\displaystyle = (x^2 + xy - 6) - (6xy - 2x^2 + 1) + (3x^2 + 7 - 3xy)[/tex]

Distribute:

[tex]\displaystyle = (x^2 + xy - 6) + (-6xy +2x^2 - 1) + (3x^2 + 7 - 3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 + 2x^2 +3x^2) + (xy - 6xy -3xy) + (-6 -1 + 7 )[/tex]

And combine like terms. Hence:

[tex]\displaystyle A - B + C = 6x^2 -8xy[/tex]

III)

We want to find:

[tex]\displaystyle A + B - C[/tex]

Substitute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) - (3x^2 + 7 - 3xy)[/tex]

Distribute:

[tex]\displaystyle = (x^2 + xy - 6) + (6xy - 2x^2 + 1) + (-3x^2 - 7 + 3xy)[/tex]

Rewrite:

[tex]\displaystyle = (x^2 - 2x^2 - 3x^2) + (xy +6xy +3xy) + (-6 +1 - 7)[/tex]

And combine like terms. Hence:

[tex]\displaystyle A + B - C= -4x^2 + 10xy -12[/tex]

Answer 2
Hope it helped.........
If A=x +xy-6, B=6xy-2x +1 And C= 3x +7 -3xy,find :(i) A+B+C (ii)A-B+C (iii)A+B-C

Related Questions

find the gradient of the line 3y=2x/3+4​

Answers

Answer:

slope is also known as gradient

here gradient =2/9

Use f(x) = 1/2 and f^-1(x) = 2x to solve the problems.

f(2)=
f^-1(1) =
f^-1(X2)) =

Answers

Answer:

Solution:

When X=2

f(2)=1/2

= 1/2

When X= 1

f^-1(1)= 2*1

=2

When X=2

f^-1(2)=2*2

= 4

Step-by-step explanation:

I don't know if these are correct and if that last question is f^-1(2) or not.

Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?

Answers

We need to find the yards of ribbon that Elsa bought with her debit card.

The amount of ribbon that Elsa bought was 31 yards.

Initial amount which is present on the card is [tex]\$15[/tex]

Amount left after spending is [tex]\$12.83[/tex]

Amount spent on ribbon is [tex]15-12.3=\$2.17[/tex]

Converting to cents

[tex]2.17\times 100=217\ \text{cents}[/tex]

Cost of one yard of ribbon is [tex]7\ \text{cents}[/tex]

[tex]1\ \text{yd}=7\ \text{cents}\\\Rightarrow 1\ \text{cent}=\dfrac{1}{7}\ \text{yd}\\\Rightarrow 217\ \text{cents}=\dfrac{217}{7}=31\ \text{yd}[/tex]

The yards of ribbon that Elsa bought is [tex]31\ \text{yards}[/tex].

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Which of the following are the coordinates of the vertex of y = −x2 + 2x + 1? (2, 1) (1, –2) (1, 2) (–2, 1)

Answers

Answer:

C

Step-by-step explanation:

We want to determine the vertex of the quadratic equation:

[tex]\displaystyle y = -x^2 + 2x + 1[/tex]

Recall that the vertex is given by the formulas:

[tex]\displaystyle \text{Vertex} = \left(-\frac{b}{2a}, f\left(-\frac{b}{2a}\right)\right)[/tex]

In this case, a = -1, b = 2, and c = 1.

Determine the x-coordinate of the vertex:

[tex]\displaystyle x = -\frac{(2)}{2(-1)} = 1[/tex]

To determine the y-coordinate, evaluate the function at x = 1:

[tex]\displaystyle \begin{aligned} y(1)&= -(1)^2 + 2(1) + 1 \\ &= 2\end{aligned}[/tex]

In conclusion, the vertex of the quadratic equation is (1, 2).

Hence, our answer is C.

Help (Geomotry)question3.

Answers

Answer:

8x+11=14x_1

14x_8x=11+1

6x=12

x=12/6

x=2

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

Find the measure of JL.

[tex] \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}[/tex]

Given, K is the midpoint of JL. So, JK = KL.

KL = 14x - 1JK = 8x + 11JL = ?

________

JL = JK + KL (given that K is the midpoint of JL)

JL = (8x + 11) + (14x - 1)

________

[tex] \large \boxed{\mathfrak{Steps} \downarrow}[/tex]

[tex] \sf( 8 x + 11 ) + ( 14 x - 1 )[/tex]

Combine 8x and 14x to get 22x.

[tex] \sf \: 22x+11-1 [/tex]

Subtract 1 from 11 to get 10.

[tex] \boxed{ \boxed{ \bf22x+10 }}[/tex]

________

Also given that, JK = KL.

So, (8x + 11) = (14x - 1)

⇨ (8x + 11) = (14x - 1)

⇨ 8x + 11 = 14x - 1

⇨ 11 + 1 = 14x - 8x

⇨ 12 = 6x

⇨ x = 12 / 6

⇨ [tex] \boxed{ \boxed{ \bf \: x= 2 }}[/tex]

________

Now, value of JL will be,

JL = 22x + 10

Substitute the value of x.

JL = 22(2) + 10

JL = 44 + 10

[tex] \boxed{ \boxed{ \bf\: JL = 50 }}[/tex]

So, the value of JL will be 50 units.

An object is moving at a speed of 3 kilometers per hour. Express this speed in feet per minute. Round your answer to the nearest whole number.

Answers

Answer:

164 feet per minute

Step-by-step explanation:

3 kilometers is ~9842.52 feet

Since it moves 9842.52 feet per hour, we can just divide that number by 60 which gives us 164.042 feet. Rounded it's 164 feet

Help need help please

Answers

The distance between these two points is 4.24

x • 1 + x/1=? ,,,,,,,,,,,,,,,,,,,,,

Answers

[tex] \huge \boxed{\mathfrak{Question} \downarrow}[/tex]

[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } = ? \\ [/tex]

[tex] \huge \boxed{\mathfrak{Answer} \downarrow}[/tex]

[tex] \large \sf \: x \cdot 1 + \frac { x } { 1 } \\ [/tex]

Anything divided by one results in itself.

[tex] \large \sf \: x\times 1+x [/tex]

Combine x × 1 and x to get 2x.

[tex] = \large \boxed{ \bf \: 2x}[/tex]

The correct answer is 2x.

please find value of x and y​

Answers

Answer:

X=x=−5y/3

y=x=−5y/3

Step-by-step explanation:

2x+y/3⋅1/x−3y=1/3⋅1/2=x=−5y/3

Answer:

x = [tex]\frac{5}{7}[/tex] , y = - [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

Given 2 equal matrices then the corresponding elements in each matrix are equal, then

2x + y = 1 → (1)

x - 3y = 2 → (2)

Multiplying (1) by 3 and adding to (2) will eliminate y

6x + 3y = 3 → (3)

Add (2) and (3) term by term to eliminate y

7x + 0 = 5

7x = 5 ( divide both sides by 7 )

x = [tex]\frac{5}{7}[/tex]

Substitute this value into (1) and evaluate for y

[tex]\frac{10}{7}[/tex] + y = 1 ( subtract [tex]\frac{10}{7}[/tex] from both sides )

y = [tex]\frac{7}{7}[/tex] - [tex]\frac{10}{7}[/tex] = - [tex]\frac{3}{7}[/tex]

it takes 4 people 2 days to build a wall. how long will it take for 2 poeple to build the same wall?

Answers

4 days. since it’s half the people, its double the days

How much do $10 pieces of candy cost if 1000 pieces cost $20

Answers

Answer:

50 pcs

Step-by-step explanation:

say

1000 pcs / $20

so 50 pcs / $

then

$10 * 50 pcs / $ = 500 pcs

what is -67- blank =0

Answers

i need more information

Answer:

67

Step-by-step explanation:

If you are looking for x, or blank in this case, you add 67 to -67.

this equals 0.

-67+67=0.

Solve the following equation:
X+m=p-n for p

Answers

Answer:

p = m + n + x

Step-by-step explanation:

x + m = p - n

x + m + n = p

p = m + n + x

a:b=2:3
b:c= 5:6
Show that a:c=5:9
please help

Answers

a/b = 2/3
= 10\15
b/c = 5/6 = 15/18
a/b/c/b = a/c = 10/15/18/15 = 10/18
=5/9
Hence proved

............-4
6.7x10 =

Answers

Answer:

The Answer is -467

Step-by-step explanation:

all it did was move the decimal to the right once

solve the systems of linear equations using substitution
1.x-4y=-10 2.a-3b=24
2x+y=-11 a+2b=-16



3.4j-5k=27 4.m+n=-3
k=j-7 m-4n=27

Answers

Step-by-step explanation:

1 . x - 4y = -10

2x + y = -11

multiply the first equation with 2

2x - 8y = -20

-

2x + y = -11

===============

= 0 - 9y = -9

y = 1

x = -6

-------------------------------------------

2.

a - 3b = 24

-

a + 2b = -16

=============

= 0- 5b = 40

b = - 8

a = 0

and so on

- 13 -2
2 - [ -1]³ + [ 1 6 ] - [ - 1 - [ - 3 ] |

Answers

23

Step-by-step explanation:

2 - [ -1]³ + [ 1 6 ] - [ - 1 - [ - 3 ]

= 2-[-1] + [16] -[-1]-[-3]

= 2+1+16+1+3

= 3+16+4

=3+20

= 23

how do you write 750 gallons to 14 minutes as a unit rate

Answers

750/14=53.57

53.57 gallons per minute

Clarisse is selling lemonade in her front yard for $0.50 per glass. Each glass is 1/8 of a pitcher. How much money can she make if she sells 5 pitchers?

Answers

Answer:

$20

Step-by-step explanation:

0.50×8=4

4×5=20

50 cents per 1/8 of a pitcher so that would mean that 2/8 or 1/4 would be a dollar and if you keep going like that you will get to 4, then you multiply 4 and 5 to get 20.

Can I please have brainliest?

what number is farther away from 2,300? -125 or -220
subject: math

Answers

Answer:

-220

Step-by-step explanation:

2,300-1 then we go into the negatives 0- -2,300

so if -5 is further from 0 than -4 that means the larger number is further

Add. Write your answer in simplest form.
5 1/5 + 4 3/5 =
A. 10 1/5
B. 9 2/5
C. 10 4/5
D. 9 4/5
PLEASE HELP AND EXPLAIN THANK YOU

Answers

Answer:

d. 9 4/5

Step-by-step explanation:

5+4=9

1/5+ 3/5=4/5

So then you'll get 9 4/5

Which functions have zeroes in their domains? Need help ASAP. please and thank u :))))))

Answers

I use a app on my phone called (photòmath) and it helps so much.

For number 8 name the angle vertical to

Answers

Answer:

the angle vertical to angle VZY is angle XZW.

hope it helps.stay safe healthy and happy.

Please help me I need help

Answers

Answer:

d=14

Step-by-step explanation:

1d/6+2/3=1(d-2)/4

Find the L.C.M.

d+4/6=d-2/4

Cross multiply

4d+16=6d-12

Collect like terms

16+12=6d-4d

28=2d

Divide through by the coefficient of d

2d/2=28/2

d=14

Answer:

d = 20

Step-by-step explanation:

1/6*d + 2/3 = 1/4*(d - 2) do the multiplying

d/6 + 2/3 = (d-2)/4 now add fraction

d/6 + 2/3 to add these up we need to multiply 2/3 with 1/2 and it will be 4/6

d/6 + 4/6 = (d+4)/6

(d+4)/6 = (d-2)/4 cross multiply

4d + 16 = 6d - 24 add like terms

16 + 24 = 6d - 4d

40 = 2d divide both sides by 2

20 = d

The endpoints of ST are -15 and 25. Find the coordinate of the midpoint M

Answers

Answer: 5

Step-by-step explanation:

The coordinate of the midpoint M = 5

What is a Line Segment?

A line segment is defined as a measured path between two places. Line segments can make up any polygon's sides because they have a set length.

The figure given below shows a line segment ST, where the length of line segment ST  refers to the distance between its endpoints, S and T.

Given that M is the midpoint of ST

S______________M______________T

What is Midpoint?

A midpoint is defined as in the middle of the line connecting two points a position known as a midpoint. A location in the middle of a line connecting the two points that are equally far from both points is the midpoint.

The endpoints of ST are -15 and 25.

So the midpoint between S and T is given by,

⇒ M = (25 - 15)/2,

⇒ M = 10/2

⇒ M = 5

Hence, the coordinate of the midpoint M = 5

Learn more about the midpoint here :

brainly.com/question/5127660

#SPJ2

Please help me it’s math coordinates planes

Answers

Answer:

(4.5 , 2.5)

Step-by-step explanation:

The midpoint can be found with the formula 

[tex]midpoint = ( \frac{x1 + x2}{2} ).( \frac{y2 + y1}{2} )[/tex]

and (x1 , x2 ) , (x2, y2) are the coordinates of two points, and the midpoint is a point lying equidistant and between these two points.

WILL GIVE BRAINLIEST

(3x – 14) (2x + 10)

Find the value of x.​

Answers

Answer:

(3x - 14) = (2x+ 10) { Because the angles are vertically opposite to each other}

3x-2x= 14+10

x=24

Elsa got a prepaid debit card with $15 on it. For her first purchase with the card, she bought some bulk ribbon at a craft store. The price of the ribbon was 7 cents per yard. If after that purchase there was $12.83 left on the card, how many yards of ribbon did Elsa buy?

Answers

Answer:

31 yards

Step-by-step explanation:

If she has $12.83 left, that means she spent $2.17 out of the $15

15 - 12.83 = 2.17

One cent is .01 of a dollar

So that would be $0.07 per yard

To find the number of yards, we need to divide the total amount she spent by the price per yard.

2.17 ÷ 0.07 = 31

What is the solution to 12 = 3/4x

Answers

Answer:

3

Step-by-step explanation:

2

Convert 6.350 to a fraction

Answers

Answer:

[tex]6 \frac{350}{1000}[/tex] Is the answer, if you want it simplified then, [tex]6 \frac{7}{20}[/tex]

Step-by-step explanation:

Answer:

[tex]{ \sf{ \underline{answer \: is \: \: 6 \frac{7}{20} }}}[/tex]

Step-by-step explanation:

Hope you got the idea in previous answer.

[tex]6.350 = \frac{6350}{1000} [/tex]

reduce the fraction by 10:

[tex] = \frac{6350 \div 10}{1000 \div 10} \\ \\ = \frac{635}{100} [/tex]

then reduce it by 5:

[tex] = \frac{635 \div 5}{100 \div 5} \\ \\ = \frac{127}{20} [/tex]

in mixed fraction mode:

[tex] = 6 \frac{7}{20} [/tex]

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