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forsale [732]
2 years ago
6

Write and solve a system of equations. Be sure to label the variables. The sum of two numbers is fourteen. Two times the first n

umber plus three times the second number is nine. What are the two numbers? Show and Explain all work.
Mathematics
1 answer:
goldfiish [28.3K]2 years ago
5 0

Answer:

First number = 33, Second number = -19

Step-by-step explanation:

We can use F to represent the first number and S to represent the second number.

Our two equations then are F + S = 14 and 2F + 3S = 9

We can use substitution:

F+S = 14\\2F+3S=9\\F=14-S\\2(14-S)+3S=9\\28-2S+3S=9\\28+S=9\\S=-19\\\\F-19=14\\F=33

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7 0
3 years ago
An exponential function is graphed on the grid
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Answer:

a) the domain is the set of all real numbers

Step-by-step explanation:

Given:

An exponential function and its graph.

A line parallel to x axis is drawn at y=-9 which is a dashed line.

Dashed line means, the function does not attain a value equal to y=-9.

Domain of a function, y=f(x) is the set of values which can be possible for the variable x that can be given as input.

Range of a function, y=f(x) is the set of possible values of y i.e. the output of the function.

As seen from the graph, the domain of the exponential function does not have any constraint on it.

Therefore, any real number can be given as input.

So, <em>a) The domain is the set of all real numbers.</em>

<em></em>

Let us discuss about the range of function.

As stated above as well, the range of the function can not contain the value y=-9.

And there is no value possible below it.

So, the <em>range is all real numbers greater than -9.</em>

<em></em>

<em>The answer is:</em>

"a) the domain is the set of all real numbers"  is true.

3 0
3 years ago
Read 2 more answers
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Answer:

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Step-by-step explanation:

Answer:37500.08

Hope this helped!

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3 years ago
In the figure above a || b. If &lt;1=34, find the measure of &lt;2
MA_775_DIABLO [31]
Its also 34 ....hope u got ur answer
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3 years ago
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