Given that f ( x ) = 3 x − 7 and g ( x ) = 3 x + 9 , evaluate f ( g ( 2 ) )

Step-by-step explanation:

x1+x2 = (-1-√2)/3 + (-1+√2)/3

= -2/3

(x1) (x2) = (-1-√2)/3 × (-1+√2)/3

= -1/9

the equation :

x² -(-2/3)x + (-1/9) = 0

x² + ⅔ x - 1/9 = 0

Answer:

41.75

Step-by-step explanation:

I think my math might be wrong

Answer:

52

Step-by-step explanation:

62-10

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    f*(x)-(-x^2-3*x)=0  

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  fx + x2 + 3x  =   x • (f + x + 3)  

Equation at the end of step

2

:

 x • (f + x + 3)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    x = 0  

 Solution is  x = 0

Equation of a Straight Line

3.3     Solve   f+x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  f+x+3  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000

 f-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000  

Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -2.000/2.000 = -1.000  

Geometric figure: Straight Line

 Slope = -2.000/2.000 = -1.000

 x-intercept = -3/1 = -3.00000

 f-intercept = -3/1 = -3.00000

x = 0

The inequality that matches the graph shown above is 2x - 5y ≤ 10. This inequality represents all the points on or below the boundary line of the graph. The line passes through the points (0, -2) and (5, 0) and has a slope of 2/5.

To verify this, we can select a point not on the line, like (0, 0), and substitute its coordinates into the inequality. We get: 2(0) - 5(0) ≤ 10, which simplifies to 0 ≤ 10. Since this is true, all the points on or below the line satisfy the inequality.
The given graph shows the shaded region below the line 2x - 5y = 10, and on the line itself.

To find the inequality that matches the graph, we can identify the slope and intercept of the line and write it in slope-intercept form, y = mx + b. The slope is found by dividing the change in y by the change in x between two points on the line.

Taking the two points (0, -2) and (5, 0), we get a slope of (0 - (-2))/(5 - 0) = 2/5.The y-intercept is where the line crosses the y-axis, which is the point (0, -2).

Using this information, we can write the line in slope-intercept form as y = (2/5)x - 2. The inequality that matches the graph is the one that includes all the points on or below this line. Since the line itself is included, we use the less than or equal to sign, giving us the inequality 2x - 5y ≤ 10.

for such more questions on inequality

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Answer:

2n

Step-by-step explanation:

the output will be 2n

please brainliest

Answer:

-2/4 can be written as -6/12

in negetive integers:: if the numerical vallues goes on increasing then the numbers are in decreasing order

so, -6/12 > -7/12

but 6/12 < 7/12

hope you understood

brainliest plz

Answer:

Step-by-step explanation:

To compare both fractions should have same denominator.

LCM of 4 and 12  is 12

[tex]\dfrac{-2}{4}=\dfrac{-2*3}{4*12}=\dfrac{-6}{12}[/tex]

[tex]\dfrac{-6}{12} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\\dfrac{-2}{4} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\[/tex]

Answer:

umm?

Step-by-step explanation:

You just uhh explained the pythagorean theorem formula

[tex]a^{2} + b^{2} = c^{2}[/tex]

but what's the question?

Answer:

b / (b/100×b)

= b / (b/50

= 50b/b

= 50

Step-by-step explanation:

brainliest plz

Answer:

b²/0.0b

Step-by-step explanation:

You're asking what is

[tex] \frac{b}{b\%} \times b[/tex]

Know that b% translates to b/100=0.0b

b×b=b²

Therefore it becomes

[tex] \frac{ {b}^{2} }{0.0b} [/tex]

Answer:

(2+3y=12) that is the simplify form

Answer:

3

Step-by-step explanation:

Answer:

0,1,2,3,4

Step-by-step explanation:

trustttttt meee

Answer:

I think it's

Step-by-step explanation:

b.y=1.5

it can be right or wrong:/

Answer:

(x + 2) (x - 2)

Step-by-step explanation:

Given the quadratic expression,  x² - 4:

Use the Difference of squares factoring formula:

u² - v² = (u + v)(u - v)

Determine what are possible factors that could have a product of -4:

Since -2 × 2 = -4, these can be used as factors.

Therefore, the factors of the quadratic expression, x² - 4 are:

(x + 2) (x - 2)

Answer:

180

Step-by-step explanation:

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \:3 \: \frac{1}{4} \: \: hours \: = \: \frac{13}{4} \: hours\: \\ [/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: \frac{13}{4} \: hours \: \: = \: 3.25 \: hours \\ [/tex]

[tex] \Large\begin{gathered} {\underline{\boxed{ \rm \: {\purple{1 \: hour \: = \: 60 \: minutes}}}}}\end{gathered}[/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: 3.25 \: hours \: = \: 3.25 \: \times \: 60[/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: 3.25 \: hours \: = \: \:{{ \large{ \orange{ \rm{{195 \: minutes}}}}}} [/tex]

Answer:

y = -2x - 12

Step-by-step explanation:

since they are asking for a parallel line, the slope will be the same:

in this case:

-2

now, we are given a point that the line goes through: (-6,0)

x is -6, y is 0

knowing all of these things, solve it:

0 = -2*(-6) + b

0 = 12 + b

b = -12

the equation of a line is y = mx +b

so:

y = -2x - 12

Answer:

165 po ang sagot

Kung Hindi po tama sorry

I try my best

xx+1=132=131=xx=x=131/x

Answer:

1/10

0.1

Step-by-step explanation:

Answer:

6

Step-by-step explanation:

(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6

hope it helps!

Step-by-step explanation:

$52.45

49.95×.05

then add that result to 49.95= answer

Answer:

i'd say C, reason being is because the origin is not directly on the point, so the dilation moves up 1.5

Step-by-step explanation:

Answer:

64 miles per hour

Step-by-step explanation:

512 divided by 8 equals 64

Answer:

jkb jhb n

Step-by-step explanation:

Answer:

The slope is -1

Step-by-step explanation:

Slope formula:

In (9,-9):   9 is x1 and -9 is y1

In (1,-1):      1 is x2 and -1 is y2

m= y2-y1/x2-x2

m= -1+9/1-9

Which is 8/-8

Simplify:

-1

The slope is -1

Hope this helps!

Answer:

-1

Step-by-step explanation:

To find slope, take the two points and find the RISE/RUN, which is y-y/x-x. Stay consistent with how you order the numbers. In this case, I'll do -1 -(-9) / 1 - 9. That will give you 8/-8, which when simplified gives you -1.

Answer:

A should be correct.

Step-by-step explanation:

Given, a = 1/2 and b = -1/3

First, let's solve the numerator. Then we have:

1/2 - 1/3

= 1/6

Since we found out our numerator, It is time to find out our denominator.

We have:

1/2 x -1/3

= -1/6

Since we now know the numerator and the denominator, we can now find out what is a+b/ab. We can find that by adding the numerator and denominator.

1/6 divided by -1/6 is equaled to -1.

Therefore, A should be correct.

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Answer:

A. -1

Step-by-step explanation:

1/2 + -1/3

-------------

1/2 x -1/3

First, make 1/2 and -1/3 have the same denominator

1/2 x 3/3 = 3/6

-1/3 x 2/2 = -2/6

Add

3/6 + -2/6 = 1/6

Multiply

1/2 x -1/3

1 x -1

-------

2 x 3

= -1/6

This makes the big equation

1/6

-----

-1/6

Simplify

1/6 / 1/6

-----------

-1/6 / 1/6

1/-1

or -1

Answer:

the city bus would cover 6 miles in 10 minutes.

Step-by-step explanation:

18 miles = 30 minutes

? miles = 10 minutes

cross multiply

? x 30 = 18 x 10 (180)

? = 180/30

? = 6

the city bus would cover 6 miles in 10 minutes.

Please find attached photograph for your answer.

Hope it helps.

Please do comment whether it is useful or not.

ray4918 here to help.

Answer:

(x−1)(x+2)(x+2)

Step-by-step explanation:

x2(x−1)+4x(x−1)+4x−4

x3+3x2−4

=(x−1)(x+2)(x+2)

Answer:

( x - 1 ) ( x + 2 )²

Step-by-step explanation:

→ Factor out 4x - 4

4 ( x - 1 )

→ Rewrite

x² ( x - 1 ) + 4x ( x - 1 ) + 4 ( x - 1 )

→ Factor out x - 1

x - 1 ( x² + 4x + 4 )

→ Factor the quadratic inside

( x - 1 ) ( x + 2 )²