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Alex73 [517]
3 years ago
8

Consider the equation 4x + 1 = 2x + 5

Mathematics
1 answer:
Darya [45]3 years ago
8 0

(a) Without solving the equation we can't determine whether its true or false.

(b) If x = 3

4x + 1 = 2x + 5

4(3) + 1 = 2(3) + 5

12 + 1 = 15 + 5

13 = 20

No, if x = 3, the equation will not be true.

(c) 4x + 1 = 2x + 5

4x - 2x = 5 - 1

2x = 4

x = 4/2

x = 2

This shows that x = 2 makes the equation true.

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For each day is an increase of 21
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3 years ago
Read 2 more answers
Solve the system of equations
Kazeer [188]

Answer:

(3,4)

Step-by-step explanation:

x+y=7, where y=4, so therefore make x the subject and substitute y=4

x=7-y

x=7-4

x=3

therefore x=3, y=4.

8 0
3 years ago
Margaret and Kevin each improved their yards by planting rose bushes and daylilies. They bought their supplies from the same sto
s344n2d4d5 [400]

The cost of one rose bush is $2 and one day lily is $10.

Step-by-step explanation:

Let,

Cost of one rose bush = x

Cost of one day lily = y

According to given statement;

7x+6y=74       Eqn 1

7x+y=24         Eqn 2

Subtracting Eqn 2 from Eqn 1

(7x+6y)-(7x+y)=74-24\\7x+6y-7x-y=50\\5y=50

Dividing both sides by 5

\frac{5y}{5}=\frac{50}{5}\\y=10

Putting y=10 in Eqn 1

7x+6(10)=74\\7x+60=74\\7x=74-60\\7x=14

Dividing both sides by 7

\frac{7x}{7}=\frac{14}{7}\\x=2

The cost of one rose bush is $2 and one day lily is $10.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/8955867
  • brainly.com/question/9045597

#LearnwithBrainly

5 0
3 years ago
8. Find the congruence transformation that maps ∆ABC to ∆A’B’C’. Explain your reasoning
tino4ka555 [31]

In this case, to flip any of the points to map up accurately to the other points, we would have to do a transformation of reflection about the y-axis. The reason behind this is that out of other transformation process, we can only achieve the image of triangle ∆A’B’C’ through reflection.

Dilation will not work since it only changes the size of the object. The shape and position will not affected.

A translation will not work because although the shape can move, it still needs to flip to achieve triangle ∆A’B’C’.

A rotation will also not work because when you rotate it, the shape will still not map over the new one.

<span>
<span>Therefore the only answer to this question would be to reflect triangle ∆ABC about the y-axis.</span></span>

4 0
3 years ago
Ellie bought two pairs of shoes during a BOGO (Buy One, Get One) sale. She received a 20% discount on the second pair of shoes.
bearhunter [10]

Answer:

89.98

Step-by-step explanation:

49.99 x 20% = 9.998

So, 20% of 49.99 is 10.

49.99 - 10 = 39.99 To get the Total of the discounted item.

49.99 + 39.99 = 89.98 Add final totals to get answer

7 0
3 years ago
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