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2 years ago

Why does this system of equations have infinitely many solutions?

Mathematics

1 answer:

lapo4ka [179]2 years ago

6 0

Step-by-step explanation:

I would say the one that says after eliminating a variable,the result is x=0

cause the zero can change into any number.

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If f(x)=4x+3 and g(x)=x^2-3 then f(g(2))

grandymaker [24]

Answer:

Step-by-step explanation:

<u>The Composite Function</u>

Given f(x) and g(x) as real functions, the composite function $(f\circ g)(x)$ is defined as:

$(f\circ g)(x)=f(g(x))$

It can be found by substituting g into f.

The given functions are:

$f(x)=4x+3$

$g(x)=x^2-3$

It's required to find f( g( 2 ) )

Find g(2):

$g(2)=2^2-3$

Operating:

$g(2)=4-3 =1$

g(2)=1

Now find f(1):

$f(1)=4(1)+3$

$f(1)=4+3 =7$

Thus:

f( g( 2 ) )=7

4 0

2 years ago

A parallelogram has an area of 324 square feet. A circle has the same area. What is the approximate circumference of the circle.

GuDViN [60]

Answer:

63.8ft

Step-by-step explanation:

6 0

2 years ago

Find the volume of the wedge-shaped region (Figure 1) contained in the cylinder x2+y2=81 and bounded above by the plane z=x and

Natali5045456 [20]

In cylindrical coordinates, the volume is given with

$\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}\int_{z=0}^{z=r\cos\theta}r\,\mathrm dz\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\int_{\theta=-\pi/2}^{\theta=\pi/2}\int_{r=0}^{r=9}r^2\cos\theta\,\mathrm dr\,\mathrm d\theta$
$=\displaystyle\left(\int_{\theta=-\pi/2}^{\theta=\pi/2}\cos\theta\,\mathrm d\theta\right)\left(\int_{r=0}^{r=9}r^2\,\mathrm dr\right)$
$=486$

7 0

2 years ago

Read 2 more answers

1. What is the approximate solution of the linear system represented by the graph below?

nlexa [21]

Answer:

x = 5 and y = 6; that is the (5, 6) (x, y) pair.

Step-by-step explanation:

The graph shows two lines that cross at the point (5, 6) on the plane (see attached image).

This means that the point x=5 and y=6 belongs to both lines (is a solution for both equations representing the lines) and therefore this pair of values is the solution to both equations in the system.

3 0

2 years ago

Write a quadratic function in vertex form whose graph has the vertex (−5, −1) and passes through the point (−2, 2)

denis23 [38]

This is your perfect answer

3 0

2 years ago