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Crazy boy [7]
3 years ago
6

What is the difference of the values of the two variables in this system of equations? y = 2x + 1 x + 3y = 10 A. 0 B. 1 C. 2 D.

3
Mathematics
2 answers:
pishuonlain [190]3 years ago
6 0
B would be the answer
Gennadij [26K]3 years ago
5 0

Answer:  The correct option is (C) 2.

Step-by-step explanation:  We are given to find the difference of the values of the two variables in the following system of linear equations :

y=2x+1~~~~~~~~~~~~~~~~~~~~~~~~~~(i)\\\\x+3y=10~~~~~~~~~~~~~~~~~~~~~~~~~(ii)

Substituting the value of y from equation (i) in equation (ii), we get

x+3y=10\\\\\Rightarrow x+3(2x+1)=10\\\\\Rightarrow x+6x+3=10\\\\\Rightarrow 7x=10-3\\\\\Rightarrow 7x=7\\\\\Rightarrow x=\dfrac{7}{7}\\\\\Rightarrow x=1.

From equation (i), we get

y=2\times 1+1=2+1=3.

So, the values of the variables are x = 1  and  y = 3.

Therefore, the difference in the values of the variables is given by

D=y-x=3-1=2.

Thus, the required difference in the values of teh variables is 2.

Option (C) is CORRECT.

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Ludmilka [50]
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So f(2) is 3 because we just find the x-value 2 in the left hand column and read across. This is 3.

So then we find g(3) by finding the x-value 3 in the left hand column and read across. This is 10.

So g(f(2)) = 10
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3 years ago
Idk how to do my hw
solniwko [45]

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8 0
3 years ago
Read 2 more answers
In one year the perseid metor shower had a metor appear every 1/5 5 minutes on average That same year the Leonid metor shower ha
olga55 [171]

In one year, the Perseid meteor shower had a meteor appear every 1 1/5 minutes on average. That same year, the Leonid meteor shower had a meteor appear every 4 2/3 minutes on average. How many more meteors fell during the Perseid meteor shower?

Answer:

325,452 meteors

Step-by-step explanation:

We all know that :

We have 365 days in a year and in each day there are 24 hours, Likewise an hour has 60 minutes

SO, the total number of minutes in a year is :

365 × 24 × 60 = 525600 minutes

For Perseid  meteor:

1 + \frac{1}{5}  \\ \\ = 1 + 0.2 \\  \\ = 1.2

So one meteor fall at 1.2 minutes interval Thus, in a year, we will have :

1 meteor - 1.2 minutes.

x meteor - 525600 minutes.

1.2x = 525600

x = \frac{525600}{1.2}

x = 438000

∴  438,000 meteors fell during the Perseid shower.

For  Leonid meteor shower:

4 + \frac{2}{3} = 4.67

So one meteor fall at 4.67 minutes interval Thus, in a year, we will have :

1 meteor - 4.67 minutes.

x meteors - 525600 minutes.

4.67x = 525600

x = \frac{525600}{4.67}

x = 112548

112,548 meteors fell during the Leonid Shower.

Finally , the numbers of more meteors that  fell during the Perseid meteor shower is calculated by the difference in the number of Perseid meteor shower and Lenoid meteor shower. i.e

438,000 - 112,548 = 325,452

325,452 more meteors fell during the Perseid meteor shower

5 0
3 years ago
Chantelle has 23 cookies. She gives 3 3/6 to her friend Emily how many does she have now
malfutka [58]
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3 0
3 years ago
Amanda is a cabinetmaker. She makes cabinets using one of three types of wood: birch, maple, or cherry. She can finish each type
padilas [110]
Assume that each material in each category has an equal chance of being selected.

Categories:
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(b) Type of finish: transparent, semi-transparent.
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Each event (selecting material for the cabinet, for the finish, and for the knob) is an independent event.

Therefore
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Probability(transparent stain) = 1/2
Probability(cheryy wood AND semi-transparent stain) = (1/3)*(1/2) = 1/6



6 0
3 years ago
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