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Andrei [34K]
2 years ago
7

Consider the following pair of equations:

Mathematics
1 answer:
Bond [772]2 years ago
6 0
So the equations are: 

y= 3x + 3

y= x- 1

By the transitive property, we know x-1= 3x+3 (Transitive property means if a= b, and b= c, shouldn't a = c if they both equal b?)

so, x- 1= 3x + 3.  Now we isolate x and solve:
        +1          +1
x= 3x+ 4
-x  -x

0 = 2x+ 4
-4        -4

-4 = 2x
/2    /2

x= -2

Now, you can plug that back in to find y:

y = x- 1
y= -2 -1
y= -3

Then plug them both in to make sure it is correct. :o)
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your uncle jim lives in england, where the current exchange rate is 1.64 US dollars for each British pound. Solve for the amount
Talja [164]

Based on the amount of your monthly bill, if you lived in England, your bill to the nearest hundredth is $185.82

<h3>How to find your bill in pound sterling?</h3>

You have a monthly bill of $304.72. If this was also your bill in England id you stayed there, it would need to be converted to pounds. The way to do this is by using the exchange rate.

If each British Pound is $1.64 U.S. Dollar, then the value of your monthly bill if you lived in England is:

= Monthly bill in dollars / Conversion or exchange rate

= 304.72 / 1.64

= $185.82

Find out more on the exchange rate at brainly.com/question/20332320

#SPJ1

7 0
11 months ago
A car approaches a stop sign going 10 m/s before coming to a stop. If it takes 5 seconds to
Levart [38]

Answer:

The acceleration is: a = -2 m/s²

The negative sign indicates that velocity is decreasing with time.

Step-by-step explanation:

Given

  • Initial velocity u = 10 m/s
  • Final velocity v = 0
  • Time taken t = 5 seconds

To determine

Acceleration a = ?

Using the formula to determine the acceleration

a = (v - u) / t

substituting u = 10 m/s, v = 0 and t = 5

a = (0 - 10) / 5

a = -10 / 5

a = -2 m/s²

Thus,

The acceleration is: a = -2 m/s²

The negative sign indicates that velocity is decreasing with time.

4 0
2 years ago
Hank the handy man charges a flat fee of $75 per visit, plus $45 per hour or fracrion of an hour
Taya2010 [7]
<h3> - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - </h3>

➷ Hank charges $75 for a visit plus $45 per hour.

Therefore, for an hour, Hank would charge $120 as 75 + 45 = 120

Mr Fixit:

As it is for one hour, we look at the first function because the time is 'less than or equal to an hour'.

Mr Fixit would charge $95 for an hour.

Therefore, Hank charges $25 more than Mr Fixit.

➶Hope This Helps You!

➶Good Luck :)

➶Have A Great Day ^-^

↬ Hannah ♡

4 0
2 years ago
Read 2 more answers
A triangle has side lengths of 39, 80, and<br> 87. Is this triangle a right triangle?
iren2701 [21]

Answer:

Step-by-step explanation:

39²=1521

80²=6400

39²+80²=1521+6400=7921

87²=7569

7921≠7569

so it is not aright angled triangle.

4 0
2 years ago
Read 2 more answers
In the United States, 40% of the population have brown eyes (based on data from Dr. P. Sorita Soni at Indiana University). If 14
Sav [38]

Answer:

0.0006087 (4 sf)

Step-by-step explanation:

Binomial distribution:  X ~ B(n, p)

where n is the number of trials and p is the probability of success

Let the random variable X be the number of people with brown eyes

n = 14

p = 40% = 0.4

Therefore,  X ~ B(14, 0.4)

P(X ≥ 12) = 1 - P(X ≤ 11)

              = 1 - 0.9993913226...

              = 0.000608677...

4 0
1 year ago
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