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loris [4]
3 years ago
11

Which graph best represents the solution to the system of equations shown below?

Mathematics
2 answers:
siniylev [52]3 years ago
7 0
1.
y = -4x + 19
y = 19 = -4x
x = - y -19/4
Alinara [238K]3 years ago
3 0

Answer:

Option 2

Step-by-step explanation:

The system of equations consists of equations

y = -4x + 19 --------(1)

y = 2x + 1 ---------(2)

Now equating both the equations for the values of y

-4x + 19 = 2x + 1

-2x - 4x + 19 = 1

-6x = 1 - 19

-6x = -18

x = \frac{18}{6}

x = 3

from equation (1) y = -4(3) + 19

                               = -12 + 19

                               = 7

Therefore, solution of the system of the equations is (3, 7)

This solution of the system of equation has been given in graph (2)

Therefore, Option (2) is the answer.

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Which number does NOT represent an integer? A. 3 B. 20.1 C. -10 D. 20/4​
guapka [62]

Answer:

the number doesnt represent an integer?

A. 3

B. 20.1

C. -10

D. 20/4​

Step-by-step explanation:

We call integers the “counting numbers, their negatives and zero”. I.e.  0,1,−1,2,−2,3,−3,.. etc.

non-integers means “everything except integers”. Which is not well-defined (i.e. nonsense). Why? Because nobody said what “everything” is.

Therefore, when somebody says “non-integer” he has to specify how he defines “everything”. In this case, our “everything” is probably “real numbers”.

Real numbers have an interesting definition concerning an abstract mathematical object called “field” . Let’s forget about that and let’s focus on a high school definition: Real numbers are probably all the numbers you know. They are those represented by a decimal and their negatives e.g.  345.232…  and  −243.13242240…  where there are “infinitely many” digits at the end. Note that  2.5  is also a real number. Integers are too. Basically, real numbers are the numbers used to measure distances and their negatives.

To summirize, your answer is the following:

“non integers” means everything except the integers, where everything is defined however we want. The most common definition of everything in this case is “real numbers” and therefore the most common interpretation of “non integers” is “reals which are not integers”.

Examples of “reals which are not integers”:  1.5,2.88,1.3333…  etc

the answer is

B. 20.1

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0 because the number in the middle is the midpoint.

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Step-by-step explanation:

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v=\frac{8}{3}\ mph\\\\s=3miles\\\\t=s:v\\\\t=3:\frac{8}{3}=3\cdot\frac{3}{8}=\frac{3}{1}\cdot\frac{3}{8}=\frac{9}{8}=1\frac{1}{8}\ (h)
4 0
3 years ago
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James can jog twice as fast as he can walk. He was able to jog the first 9 miles to his grandmother’s house, but then he tired a
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Answer:

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Explanation :



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