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Ugo [173]
3 years ago
13

Simultaneous Equation 3x+y=2 4x+3y=3

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
7 0
1. Y=-3x+2
2. Y=-4/3x+1
Ronch [10]3 years ago
7 0
-3(3x+y=2) -> -9x-3y=-6
(-9x-3y=-6)+ (4x+3y=3) -> -5x=-3
x=3/5
then plug in the x into an equation to get y
y=1/5
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The Gaineys and the Arnolds are saving money for a trip to Utah to go snowboarding. The Arnolds are going to save a nickel on th
Debora [2.8K]

Write a recursive and explicit formula for each option.

  • The Arnolds

Save a nickel on the first day of the month and then double the amount each day for a month

=> a1 =0.05

=> a2 = a1* 2 = 0.05*2

=> a3 = a2*2 = a1* 2*2

..............................................

=>recursive an = a_{n-1} *2

=> explicit an = 0.05*2^{n-1}

  • The Gaineys

Start their savings by saving  $10  on the first day and then  $10  each day of the month

=> a1 = 10

=> a2 = a1 + 10 = 20

=> a3 = a2 +10 = 20 +10 =30

........................................................

=> recursive an = a_{n-1} +10

=> explicit an = 10 + 10( n-1)

Hope it will find you well.

8 0
3 years ago
find three consecutive integers such that the sum of twice he smallest and 3 times the largest is 126.
vladimir1956 [14]
a,a+1,a+2\ \ -\ three\ consecutive\ integers\\\\
2a+3(a+2)=126\\\\
2a+3a+6=126\\\\
5a+6=126\ \ \ |Subtract\ 6\\\\
5a=120\ \ \ |Divide\ by\ 5\\\\
a=24\\\\Numbers\ are:\ 24,25,26.
8 0
3 years ago
1)There are whole numbers that are not integers.
tiny-mole [99]

Answer:

1).false 2). false 3).true 4). true

Step-by-step explanation:

1).All whole numbers are integers, so s...” That's right! All whole numbers are integers, so since 0 is a whole number, 0 is also an integer.

3).. Integers include all whole numbers and their negative counter part e.g. … -4, -3, -2, -1, 0,1, 2, 3, 4,… Where a and b are both integers. is a rational number but not an integer. 4). All integers are rational number. Since we can rewrite an integer into a fractional form by diving it by 1. For example, 4=41 4 = 4 1 . But not all rational numbers are integer.

6 0
3 years ago
Read 2 more answers
TotCo is developing a new deluxe baby bassinet. If the length of a newborn baby is normally distributed with a mean of 50 cm and
slavikrds [6]

Answer:

91.63 cm is the interior length of the bassinet to ensure that 99 percent of newborn babies will fit, with a safety margin of 15 cm on each end of the bassinet.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 50 cm

Standard Deviation, σ = 5 cm

We are given that the distribution of  length of a newborn baby is a bell shaped distribution that is a normal distribution.

Formula:

z_{score} = \displaystyle\frac{x-\mu}{\sigma}

P(X<x) = 0.99

We have to find the value of x such that the probability is 0.99

P(X < x)  

P( X < x) = P( z < \displaystyle\frac{x - 50}{5})=0.99  

Calculation the value from standard normal table, we have,  

P(z

\displaystyle\frac{x - 50}{5} = 2.326\\x = 61.63  

Thus, 99% of newborn babies will have a length of 61.63 cm or less.

There is a safety margin of 15 cm on each end of the bassinet

Length of bassinet =

61+63 + 15 +15 = 91.63\text{ cm}

6 0
3 years ago
Solve for x X/3+2=x/3
Nataly_w [17]

Answer:

no solution

Step-by-step explanation:

X/3+2=x/3

Subtract x/3 from each side

X/3-x/3+2=x/3-x/3

2 = 0

This is never true so there is no solution

8 0
3 years ago
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