All categories

3 years ago

The graphs of f(x) and g(x) are shown below:

Mathematics

1 answer:

Ivanshal [37]3 years ago

5 0

Answer:

x = -1,5.4

Step-by-step explanation:

We have to solve equation f(x) = g(x) from graph.

In graph f(x) and g(x) will be equal at the point where they meet each other.

Other way to understand this is

since y will be value of f(x) and g(x) .

so we need same value of y for both f(x) and g(x)

and same value for y will be at point where both function meets each other.

now looking at graph ,

we can see that graph of function f(x) and g(x) intersect at two points

(-1,-10) and other is at (5.4,12)

Thus, value of x from pair of solutions (-1,-10) and (5.4,12) is x = -1, 5.4.

You might be interested in

Lucy has two star systems left to visit on her voyage, but her ship is running low on fuel. The first system, KA-77, is 12001200

-Dominant- [34]

Answer:

1348 light years.

Step-by-step explanation:

Please find the attachment.

Let x represent the distance between KA-7 and KA-11.

We have been given that the first system, KA-7, is 1200 light years away while the second system, KA-11, is 1700 light years away. Lucy sees an angle of 52 degrees between KA-7 and KA-11.

We can see from our attachment that Lucy, KA-7 and KA-11 forms a triangle and we will use law of cosines to solve for x.

$(AB)^2=(AC)^2+(BC)^2-2(AC)(BC)*cos (C)$

Upon substituting our given values in above formula we will get,

$x^2=1200^2+1700^2-2*1200*1700*cos (52^o)$

$x^2=1440000+2890000-4080000*0.615661475$

$x^2=4330000-2511898.81933008$

$x^2=1818101.18066992$

Let us take square root of both sides of our equation.

$x=\sqrt{1818101.18066992}$

$x=1348.3698234\approx 1348$

Therefore, KA-7 and KA-11 are approximately 1348 light years apart.

6 0

3 years ago

Which of the following is equivalent to log168?

Sladkaya [172]

I'm assuming that you meant to add an attachment

but log168 is equal to 2.22530928173

so simply solve the presumed answer choices

The one that equals 2.22530928173 is equivalent to log168

next time please include the attachment

~Travisnator

7 0

3 years ago

Based on the line of best fit, how much money would a company most likely spend on advertising if the company's yearly revenue w

Ulleksa [173]

Answer:

I dont understand the qustion? did you answer it?

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Stella graphs the equation y=1/3x – 2

faltersainse [42]

we have

$y=\frac{1}{3}x-2$

Statements

case A) The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

case B) The line passes through the origin.

The statement is False

Because the point $(0,0)$ is not a solution of the equation

Verify

Substitute the value of x and y in the equation

$0=\frac{1}{3}*0-2$

$0=-2$ ------> is not true

the point $(0,0)$ is not a solution

therefore

The line does not pass through the origin

case C) The line passes through the point $(0,-2)$

The statement is True

Because the point $(0,-2)$ is a solution of the equation

Verify

Substitute the value of x and y in the equation

$-2=\frac{1}{3}*0-2$

$-2=-2$ ------> is true

the point $(0,-2)$ is a solution

therefore

The line passes through the point $(0,-2)$

case D) The slope of the line is $3$

The statement is False

Because, the slope of the line is $m=\frac{1}{3}$

case E) The y-intercept of the line is $2$

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

For $x=0$

find the value of y

$y=\frac{1}{3}*0-2=-2$

the y-intercept is equal to $-2$

5 0

3 years ago

Read 2 more answers

Using a straightedge draw a random triangle now carefully cut it out next amputate the angles by snipping through adjacents side

Nezavi [6.7K]

This is usually used as a proof that triangles have 180°. Look at the attached figures. If you cut off angle A, angle B and angle C and rotate them so that their vertices touch, you form a half-circle out of them (or a straight line). We know that half a circle is 1/2 of 360° or 180; therefore all 3 angles in a triangle must add up to 180°.

4 0

3 years ago