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Anika [276]
2 years ago
14

What is the coefficient b makes the equation true for any real number x -3 (2x-3) + 5x = bx + 9

Mathematics
1 answer:
QveST [7]2 years ago
3 0

Answer:

b = 0

Step-by-step explanation:

x -3 (2x-3) + 5x = bx + 9

x - 6x +9 + 5x = bx + 9

-9 -9

x - 6x + 5x = bx

-5x + 5x = bx

0 = bx

b/x 0/x

b = 0

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Zolol [24]
She has to buy both binders and notebooks. So, you have to take into account that she has to have both. The closest you can get to $20 while still getting notebooks, is to buy 4 binders. 4 times 4 equals 16. So, she can get 4 binders and 2 notebooks, because then, 2 times 2 equals 4 and 16 plus 4 equals 20.
8 0
3 years ago
Read 2 more answers
HELP ASAP PLZZZZ
Tcecarenko [31]
QUESTION 1

The given system of equations is

3d - e = 7...eqn(1)
d + e = 5...eqn(2)

To solve by linear combination, we add equation (1) to equation (2) to get,

3d  + d= 7 + 5


4d = 12


We divide through by 4 to obtain,


d =  \frac{12}{4}


d = 3


We put d=3 into equation (2) to get,



3+ e = 5


e = 5 - 3


e = 2


\boxed {The \: solution \: is  \: (3, 2)}



QUESTION 2


The given system is

4x + y = 5 ...eqn(1)

3x + y = 3 ...eqn(2)


To solve by linear combination, we subtract equation (2) from equation (1) to eliminate y from the equation.

This will give us,

4x - 3x = 5 - 3



This implies that,

x = 2


Put x=3 into equation (1) to get,

4(2) + y = 5

8+ y = 5


y = 5 - 8



y =  - 3

The solution is

(2,-3)



QUESTION 3

We want to solve the system;


a – 2b = –2 ....eqn(1)


2a + 2b = 14...eqn(2)

by linear combination.


We need to add equation (1) to equation (2) to eliminate b.


This implies that,

2a + a = 14 +  - 2




Simplify,

3a = 12



Divide both sides by 3 to get,


a = 4
Put a=4 into equation (2) to obtain,



2(4) + 2b = 14


8 + 2b = 14
2b = 14 - 8


2b = 6


b = 3


The ordered pair in the form (a, b) is

(4,3)



QUESTION 4

The given system of equations is


11x + 4y = 18 ...eqn(1)

3x + 4y = 2 ...eqn(2)


We subtract equation (2) from equation (1) to get,


11x - 3x = 18 - 2


8x = 16


x = 2


Put x=2 into equation (2) to obtain,


3(2) + 4y = 2


This implies that,


6 + 4y = 2


4y = 2 - 6


4y =  - 4


y=-1

The correct answer is (2,-1).




QUESTION 5

The given system is ;

2d + e = 8...eqn1

d – e = 4...eqn2


We add the two equations to eliminate e.


This implies that,

2d + d = 8 + 4


3d = 12



We divide both sides by 3 to get,


d = 4


We put d=4 into equation (2) to get,

4 - e = 4

- e = 4 - 4



- e = 0



e = 0


The solution is

(4,0)
7 0
3 years ago
What is the value of x,if x=3²​
KatRina [158]

Answer:

x=9

Step-by-step explanation:

x = 3^2

x = 3*3

x=9

7 0
2 years ago
Read 2 more answers
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g100num [7]
<h3>1.</h3>

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The picture shows 3 groups of 2 bars. Each bar represents 1/10. We take the picture to mean that ...

... (6/10) / 3 = 2/10

In decimal:

... 0.6 / 3 = 0.2

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The picture shows 4 groups, each consisting of 1 large square, 1 bar, and 4 small squares. We take the picture to mean that ...

... (4 + 4/10 + 16/100) / 4 = 1 + 1/10 + 4/100

In decimal:

... 4.56 / 4 = 1.14

Please note that 16/100 is equivalent to 1/10 + 6/100. In order to do the division, one of the 1/10 bars needed to be changed into 10 small squares, 10/100.

<h3>4.</h3>

The picture shows 3 groups, each consisting of 1 large square, 3 bars, and 2 small squares. We take the picture to mean that ...

... (3 + 9/10 +6/100) / 3 = 1 +3/10 + 2/100

In decimal:

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6 0
3 years ago
Given the rule, find the 8th term in the arithmetic<br> sequence.<br> an =3n + 4
dybincka [34]

Answer:

You simply substitute 8 for n

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4 0
2 years ago
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