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makkiz [27]
3 years ago
13

Which is the best approximation for the solution of the system of equations? y = x + 1 y = 3x – 2

Mathematics
2 answers:
Jlenok [28]3 years ago
8 0
B. (0.88,0.65) would be the closest approximation for this system of these choices.
Goshia [24]3 years ago
4 0

The given equations are  y = x + 1and y = 3x – 2

Substituting y value in equation 1 from 2 we have :

3x-2=x+1

Subtracting x both sides

3x-x-2=1

2x-2=1.

Adding 2 both sides

2x=3

Dividing by 2

x=1.5.

Substituting x value in y=x+1

y=1.5+1.

y=2.5.

Solution is (1.5,2.5)

The approximate solution  is B. (0.88, 0.65)

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A restaurant served 27,500 customers in 2012. In 2014, the restaurant served 29,000 customers. Write a linear model that represe
rjkz [21]

Answer:

In 2012, a restaurant served 27,500 customers and in 2014, the restaurant served 29,000 customers.

First determine the increase in the number of customer served each year.

the number of customer increase in each year is,  \frac{29000-27500}{2} =\frac{1500}{2} =750

therefore, the linear model is;

y = 750x+ 27500 , where y represents the number of customers that the restaurant serves x years after 2012.

Now, to predict the number of customers that the restaurant will serve in 2020 is;

since, x = 2020-2012 = 8 years

y = 750 \times 8 +27500 or

y= 6000+27500=33,500

therefore, the number of customers that the restaurant will serve in 2020 = 33,500


3 0
3 years ago
Triangle abc is congruent to triangle xyz. angle a measures 50 degrees angle b measure 2 x plus 40 degrees and angle z measures
Anarel [89]

Because these triangles are congruent, then angle a is the same degree measure as angle x; angle b is the same as y; and angle c is the same as z. We also know that, because of the Triangle Angle-sum Theorem, all the angles of a triangle have to add up to equal 180 degrees. So for us that means that a+b+c(which is also z) = 180. 50 + 2x + 40 + 4x + 8 = 180. Combining like terms we have 6x + 98 = 180. Subbtracting 98 from both sides gives us 6x = 82 and x = 13 2/3

3 0
3 years ago
Find the distance of point U(2, 3) from point V(5, 7).​
aalyn [17]

Answer:

5

Step-by-step explanation:

You can draw a point at (5,3) and call it point A.

Connect point A with V and U to get VA = 4 and UA = 3.

You get a right triangle and use pythagoream theroem. The answer is the root of 4^2 + 3^2 which equals to 5.

The answer is 5

5 0
3 years ago
Can someone explain to me how to remove all the perfect squares ? I’m kind of confused and my teacher is unavailable to help and
mixer [17]

Answer:

b^2√30b

Step-by-step explanation:

√30b^5 - Original

Break down the radical with its factors (factor tree)

√3*2*5*b*b*b*b*b  

See what perfect squares you can take out (Can take out four b terms)  You cant take out any perfect squares involving 30 since there are no perfect squares

b^2√3*2*5*b

b^2√30b

4 0
2 years ago
Can someone plz help me
GenaCL600 [577]

1. a) Find the y-intercept of the line, then you find the slope the line, and then you can write the equation in y-intercept form, which is y=mx+b, m is the slope and b the y-intercept.

y= x+70 is the equation

b) 70

c) 120

3 0
3 years ago
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