Using ƒ(x) = 3x − 3 and g(x) = -x, find g(ƒ(x)).

Answer:

The range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

Step-by-step explanation:

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

Range refers to all the possible sets of output values on the y-axis.

From the given graph, we can easily observe the vertical extent of the graph is all range values  between -∞ and 2.

In other words,

The range of the function lies in the interval: ( -∞, 2)

Therefore, the range of the graph is:

-∞ <  y < 2

Hence, option C is correct.

Answer:

63 it's the closest

Step-by-step explanation:

Answer:

the answer is 21 π

Step-by-step explanation:

[tex]V= \pi r^{2} \frac{h}{3}[/tex]

r=3

h=7

7/3 x 3^2 = 21

=21π

Answer:

[tex]\frac{1}{3}[/tex] feet

Step-by-step explanation:

The area of a rectangle is represented by the formula [tex]A = l[/tex] ×[tex]w[/tex], in which [tex]A[/tex] is the area, [tex]l[/tex] is the length, and [tex]w[/tex] is width.

Let's put in what we already know into the formula. We know that the area is [tex]\frac{5}{18}[/tex], so let's substitute that for [tex]A[/tex]. We know that the length is [tex]\frac{5}{6}[/tex], so let's substitute that for [tex]l[/tex]. This gives an equation that looks like this:

[tex]\frac{5}{18} = \frac{5}{6}[/tex] × [tex]w[/tex]

To find the width, all we need to do know is isolate [tex]w[/tex]:

[tex]w = \frac{5}{18}[/tex] × [tex]\frac{6}{5}[/tex]

[tex]w = \frac{30}{90}[/tex]

[tex]w = \frac{1}{3}[/tex]

Thus, the width is [tex]\frac{1}{3}[/tex].

Answer:

x < -2

Step-by-step explanation:

Hey there!

The answer to your question is [tex]x < -2[/tex]

Tip: Remember to flip the inequality signs when you multiply/divide by a negative number!

[tex]12 - 6x > 24[/tex]

[tex]-6x > 12[/tex]           (Subtract 12 from both sides)

[tex]x < -2[/tex]              (Divide both sides by -6)

Hope it helps and have a great day!

Answer:

2 meter under water

first one

Answer:

The first one, 2 meters.

Step-by-step explanation: 5 meters-3 meters = 2 meters.

Answer:

$400

Step-by-step explanation:

140 ÷ 35% = 400

Answer:

(x+6)(x+3)

Step-by-step explanation

What adds to 9 and mutiplies to 18 6 and 3 so then you split 9 into 3x and 6x then take parts x^2+3x    6x+18  

                       x(x+3)          6(x+3)

                                 x+6 x+3

Answer:

A. 4,  X = 4

Step-by-step explanation:

-3x - 8 = -20

Move the constant to the right-hand side and change its sign

-3x = -20 + 8

Calculate the sum

-3x + -12

Divide both sides of the equation by -3

x = 4

Solution

x = 4

Nolan has 20 pens and 3 pencils, while Fiona has 5 pens and 18 pencils.

Given that Nolan has 4 times as many pens as Fiona, and Fiona has 6 times as many pencils as Nolan, to determine, if Nolan has a total of 23 pens and pencils, and so does Fiona, the number of pens and pencils that either Nolan or Fiona has, the following calculation must be performed:

Therefore, Nolan has 20 pens and 3 pencils, while Fiona has 5 pens and 18 pencils.

Learn more about amount determination in https://brainly.com/question/14342345

Answer:

[tex]42ft^{2}[/tex]

Step-by-step explanation:

[tex]2\sqrt{7}[/tex] × [tex]3\sqrt{7}[/tex]

Multiply the numbers outside the root and inside the root.

[tex]2x3=6[/tex]      [tex]7x7=49[/tex]

[tex]6\sqrt{49}[/tex]

Simplify whats under the root

[tex]\sqrt{49} = 7[/tex]

[tex]6[/tex]×[tex]7=42[/tex]

Answer:

21 ft

Step-by-step explanation:

Answer:

C=85+2x

Step-by-step explanation:

c=85+2(3)     --   $91

c=85+2(4)     --   $93

c=85+2(5)     --   $95

c=85+2(6)     --   $97

Answer:

[tex]Ladder = 2\frac{1}{4}\ m[/tex]

Step-by-step explanation:

Given

[tex]Sections = 3[/tex]

[tex]Length = \frac{3}{4}m[/tex] per section

Required

Determine the length of the ladder

The length of the ladder is calculated by multiplying the number of sections by the length of each section.

So, we have:

[tex]Ladder = 3 * \frac{3}{4}\ m[/tex]

[tex]Ladder = \frac{9}{4}\ m[/tex]

[tex]Ladder = 2\frac{1}{4}\ m[/tex]

Hence, the length of the ladder is: [tex]2\frac{1}{4}\ m[/tex] or 2.25m

Answer:

126 inches

Step-by-step explanation:

If your drawing is on a 1 : 40 scale, to find the scale's height, divide the ride's height by 40.

420 / 40 = 10.5

So the drawing will be 10.5 feet tall.

To convert 10.5 feet to inches, multiply it by 12.

10.5 * 12 = 126 inches

Answer:

I NEED THIS ANSWER TOO...

ANYONE HELP ME

Answer:

the answer is x=-20 there you go

Answer: x = - 20 Hope I Helped!!

Step-by-step explanation:

Distribute

Eliminate Redundant Parentheses

Subtract The Numbers

Combine Like Terms

Add 15 to both sides of the equation!!!

Answer:

-35

Step-by-step explanation:

-15 -20

= -35

But if you want the positive difference, it would be 35

Answer:

Step-by-step explanation:

-15-(+20)=-15-20=-35

Answer:

x = -9 Its B

Step-by-step explanation:

Because it can go both ways either + or -

Answer:

d

Step-by-step explanation:

b/c |-9|+10=19  |9|+10=19   |0|+10=10

IT IS THE THIRD ONE:

3+8.486

because I find it like that

Answer:

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

one must not divide by 0, so given function doesn't exis if the denominator is equal 0

The product {(x+1)×(x-2)} is equal 0 if any of factors  {(x+1),(x-2)} is 0, so

x + 1 = 0    or    x - 2 = 0

x = - 1      or    x = 2

1.6 hours

152 km total divided by her speed, 95 km/h =1.6

Answer:

x = -3 2/3

Step-by-step explanation:

Given the simultaneous equations;

3 x + 7 y = 31 ..... 1

-3x - 2y = -1 ..... 2

Add both expressions

7y - 2y = 31-1

5y = 30

y = 30/5

y = 6

Substitute y = 6 into equation 2

From 2;

-3x - 2y = -1

-3x - 2(6) = -1

-3x - 12 = -1

-3x  = -1  + 12

-3x  = 11

x = -11/3

x = -3 2/3

Hence the value of x is -3 2/3

Answer:

x = -3 2/3

Step-by-step explanation: