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Luden [163]
2 years ago
5

please help!! Drag each pair of equations to show whether the system has no solution, one solution, or infinitely many solutions

.

Mathematics
1 answer:
Vanyuwa [196]2 years ago
5 0

For the given system of equations, considering different systems are split by ;, we have that:

  • No solutions: 3y = x + 2, 9y = 3x + 7; y = 2x + 3, y = 2x + 5
  • One solution: 2y = 3x, -5y = -10x,; x = 6, y = 9.
  • Infinitely many solutions: y = 5x + 2, 3y = 15x + 6.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

It's equations can be written in the format:

Ax = b

Using the above format, we have that:

  • If A is different from zero, the system has one solution.
  • If A is zero and B is different of zero, the system has no solutions.
  • If both are zero, the system has infinite solutions.

At the first system, multiplying the first equation by -3 and adding with the second, we end up with:

0y = 0x + 2

0 = -2

Which is a false statement, hence it has no solutions.

At the second system, the equations are multiples, hence it has infinite solutions.

At the third system, the coefficients are not zero and are not multiples, and it has one solution.

In the fourth system, the one solution is already given.

At the fifth system, we have that:

2x + 3 = 2x + 5

0x = 2

Hence no solutions.

To learn more about system of equations, you can take a look at brainly.com/question/24342899

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A puppy weighs 2.8 pounds at birth and gained about 0.5 pounds per week. A kitten weighs 1.4 pounds at birth and gains about 1.2
seraphim [82]

The weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.

<h3>What is Inequality?</h3>

Statement of an order relationship—greater than, greater than or equal to, less than, or less than or equal to—between two numbers or algebraic expressions.

Given:

A puppy weighs 2.8 pounds at birth and gained about 0.5 pounds per week.

A kitten weighs 1.4 pounds at birth and gains about 1.2 pounds per week.

puppy: 2.8 + 0.5x

Kitten: 1.4 + 1.2x

As, kitten is no less than puppy.

Kitten ≥ puppy

1.4 + 1.2x ≥ 2.8 + 0.5x

hence, the weight of the kitten will be no less than the weight of the puppy in 1.4 + 1.2x ≥ 2.8 + 0.5x week.

Learn more about inequality here:

brainly.com/question/23575974

#SPJ1

3 0
1 year ago
ANSWER ASAP! In an arithmetic sequence, a17 = -40 and
dsp73

Answer:

The Recursive Formula of sequence is: 8, 5, 2, -1, -4,...

Step-by-step explanation:

Arithmetic Sequence is a sequence in which every two neighbor digits have equal distances.

For finding the nth term, we use formula

aₙ = a + (n - 1) d

where, aₙ = value of nth term

a = First term

n = number of term

d = difference

We have given that,

a₁₇ = -40  ⇒ a₁₇ = a + (17 - 1)d

⇒ -40 = a + 16d        →      (1)

Also, a₂₈ = -73  ⇒ a₂₈ = a + (28 - 1)d

⇒ -73 = a + 27d           →    (2)

Solving, equation (1) and (2), We get  

a = 8, d = -3

Hence, First term = a = 8

Second term = a + d = 8 - 3 = 5

Third term = 5 + d = 2

Fourth term = 2 + d = -1

Thus, The Arithmetic Sequence is: 8, 5, 2, -1, -4,...

8 0
2 years ago
Find the volume of the figure?
Maurinko [17]

Answer:

Make two piece of this figure

Step-by-step explanation:

then use formula of v = l × b × h

3 0
2 years ago
Which of these values for p and a will cause the function f(x)=Pax to be an exponential growth function
vovikov84 [41]

The option are missing in the question. The options are :

A.  P = 2, a = 1

B.  $P=\frac{1}{2} ;  a =\frac{1}{3}$

C. $P=\frac{1}{2} ;  a =1$

D. P = 2, a = 3

Solution :

The given function is $f(x)= Pa^x$

So for the function to be an exponential growth, a should be a positive number and should be larger than 1. If it less than 1 or a fraction, then it is a decay. If the value of a is negative, then it would be between positive and negative alternately.

When the four option being substituted in the function, we get

A). It is a constant function since $2(1^x)=2$

B). Here, the value of a is a fraction which is less than 1, so it is a decay function. $f(x)=\frac{1}{2}\left(\frac{1}{3}\right)^x$

C). It is a constant function since the value of a is 1.

D). Here a = 3. So substituting, as the value of x increases by 1, the value of the function, f(x) increases by 3 times.

  $f(x)=2(3)^x$

Therefore, option (D). represents an exponential function.

4 0
2 years ago
The next term in the geometric sequence -1, -2, -4, ... is -6.<br><br> True<br> False
bixtya [17]
False. All the numbers are doubling. -1 to -2 to -4. The next number would probably be be -8.


Have a nice day!
4 0
3 years ago
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