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Anton [14]
4 years ago
11

Determine the solution to f(x) = g(x) using the following system of equations:

Mathematics
1 answer:
olya-2409 [2.1K]4 years ago
5 0
In this item, we equate the functions as stated.
             f(x) = g(x)
          3x - 23 = -4.5x + 7

Transpose all the terms with variables to one side of the equation and all the constants to the other side. This is shown below.
         3x + 4.5x = 7 + 23

Combine like terms,
             7.5x = 30
Divide both sides of the equation by 7.5.
            (7.5x)/7.5 = 30/(7.5)
             <em>      x = 4</em>

Therefore, the solution to this item is that x = 4. 
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The atmospheric pressure on an object decreases as altitude increases. If a is the height (in km) above sea level, then the pres
seraphim [82]

Answer:

373.8mmHg

Step-by-step explanation:

a =height (in km) above sea level,

the pressure P(a) (in mmHg) is approximated given as

P(a) = 760e–0.13a .

To determine the atmospheric pressure at 5.458 km, then we will input into the equation

P(5.458km) = 760e–0.13a .

= 760e^(-0.13×5.458)

=760e^-(0.70954)

= 760×0.4919

=373.8mmHg

Therefore, the atmospheric pressure at 5.458 km is 373.8mmHg

3 0
3 years ago
A table has 4 equal edges, one side is 4 cm what is the perimeter
nasty-shy [4]

Answer:

well if each edge is equal in that mean each side equal in length so each side  is 4cm  

Step-by-step explanation:

so

perimeter= all sides added together

4+4+4+4

=16cm  

hope this helped

6 0
3 years ago
Read 2 more answers
Pls i need help with this question attached
vitfil [10]
066666666666667.
I did that question before
3 0
3 years ago
A student is trying to calculate the density of a ball. She already knows the mass, but she needs to determine the volume as wel
mario62 [17]
<h2>Answer and Explanation:</h2><h2 />

The density of a substance is defined as its mass per unit volume. In a mathematical language, this can be written as follows:

\rho=\frac{m}{V} \\ \\ \\ Where: \\ \\ \rho: \ density \\ \\ m:mass \\ \\ V:Volume

From the problem, a student is trying to calculate the density of a ball. She already knows the mass, but is facing a problem because she also needs to find the volume. From geometry, we know that the volume of a sphere is:

V=\frac{4}{3} \pi r^{3}

Since a ball is a sphere, then the student can use this formula. She just need to measure the radius of the ball and compute the Volumen, then she have to plug both the value of the mass and the value of the Volume in the equation \rho=\frac{m}{V}. An easy way to find the radius is to take the measure of the diameter of the ball and divide that value by 2.

6 0
4 years ago
The behavior of a graph at the positive and negative extremes in its domain is…
bazaltina [42]
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3 years ago
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