Solve the inequality |2x - 28] > 32​

You are cheating. I see this is a test.

Answer:

(a) and (b)

[tex]f(g(x)) = g(f(x)) = x[/tex]

(c) and (d)

[tex]f(g(x)) =-x + 8[/tex]

[tex]g(f(x)) = x + 8[/tex]

Step-by-step explanation:

Given

(a) to (d)

Required

Find f(g(x)) and g(f(x)) for each pair

For (a) and (b), we have:

[tex]f(x) = \frac{3}{x}[/tex]

[tex]g(x) = \frac{3}{x}[/tex]

Calculate f(g(x))

[tex]f(x) = \frac{3}{x}[/tex]

[tex]f(g(x)) = \frac{3}{g(x)}[/tex]

Substitute 3/x for g(x)

[tex]f(g(x)) = \frac{3}{3/x}[/tex]

Rewrite as:

[tex]f(g(x)) = 3/\frac{3}{x}[/tex]

[tex]f(g(x)) = 3*\frac{x}{3}[/tex]

[tex]f(g(x)) = x[/tex]

Since f(x) = g(x), then:

[tex]f(g(x)) = g(f(x)) = x[/tex]

For (c) and (d)

[tex]f(x) =x + 4[/tex]

[tex]g(x) =-x + 4[/tex]

Solving f(g(x)), we have:

[tex]f(x) =x + 4[/tex]

[tex]f(g(x)) =g(x) + 4[/tex]

Substitute [tex]g(x) =-x + 4[/tex]

[tex]f(g(x)) =-x + 4 + 4[/tex]

[tex]f(g(x)) =-x + 8[/tex]

Calculating g(f(x))

[tex]g(x) =-x + 4[/tex]

[tex]g(f(x)) = -f(x) + 4[/tex]

Substitute: [tex]f(x) =x + 4[/tex]

[tex]g(f(x)) = x + 4 + 4[/tex]

[tex]g(f(x)) = x + 8[/tex]

Answer:

8.9 units

Step-by-step explanation:

[tex] \therefore \: r = \sqrt{ {( - 4 - 0)}^{2} + {( - 2 - 0)}^{2} } \\ \\ \therefore \: r = \sqrt{ {( - 4)}^{2} + {( - 2)}^{2} } \\ \\ \therefore \: r= \sqrt{16 + 4} \\ \\ \therefore \: r= \sqrt{20} \\ \\ \therefore \:2 r= 2 \sqrt{20} \\ \\ \therefore \:2 r=8.94427191 \\ \\ 2r = 8.9 \: \\ \\ diameter \: = 8.9 \: units[/tex]

x+11.95≤30

Then x≤30−11.95x≤30−11.95

x≤18.05x≤18.05Answer:

Step-by-step explanation:

Answer:

x=18 days

Step-by-step explanation:

since the student runs 2 1/2 miles everyday divide that into 45 miles and you get 18 therefore x=18

Answer:

Step-by-step explanation:

The diagram includes the interval:

The integer values in the given interval are:

Answer:

There is 5% of the juice left.

Step-by-step explanation:

We know that originally, the container had 80 oz of orange juice, this is the 100% in our case.

Then we can write a relation:

80 oz = 100%

Now there are 4 ounces left, in the same way than before, we can write this as:

4 oz = X%

We want to find X%

First, let's write our equtions:

4 oz = X%

80 oz = 100%

We can take the quotient between these two equations to get:

(4oz/80oz) = (X%/100%)

We need to solve this for X%, then we get:

(4oz/80oz)*100% = X% = 5%

This means that 4 oz is 5% of the initial volume of the juice container.

Then we can conclude that there is 5% of the juice left.

Answer:

Answer: a = 140°, b = 40° and c = 140°

Step-by-step explanation:

Angles a° and c° are also vertical angles, so must be equal, which means they are 140° each. Answer: a = 140°, b = 40° and c = 140°. Note: They are also called Vertically Opposite Angles, which is just a more exact way of saying the same thing.

Answer:

v = −4/−24x+3

Step-by-step explanation:

Let's solve for v.

3v(1/8−x) = −1/2

Step 1: Factor out variable v.

v(−24x+3/8) = −1/2

Step 2: Divide both sides by (-24x+3)/8.

v(−24x+3/8)/−24x+3/8 = −1/2/−24x+3/8

v=−4/−24x+3

Answer:

108 kg for all 6 packages

Step-by-step explanation:

Answer:

=108

Step-by-step explanation:

18 × 6 will give you 108

Answer:

(a)2 1/4

(b)1 1/2

(c)1 1/18

(d)5 7/12

Step-by-step explanation:

(a) 11/3 - 17/12 = 44/12 - 17/12 = 27/12 = 9/4 = 2 1/4

(b) 33/10 - 18/10 = 15/10 = 3/2 = 1 1/2

(c) 41/9 - 7/2 = 82/18 - 63/18 = 19/18 = 1 1/18

(d) 47/6 - 9/4 = 94/12 - 27/12 = 67/12 = 5 7/12

Hope it helped :)

Answer:

D. If I do not listen to this song, then it will not get stuck in my head.

Step-by-step explanation:

Answer:

"If I don't listen to this song, then it won't get stuck in my head."

Answer:

x = 21

Step-by-step explanation:

The two angles shown are supplementary.

3x + 10 + 6x - 19 = 180

9x - 9 = 180

9x = 189

x = 21

Answer:

2025 children

Step-by-step explanation:

4 2700

-- = --------

3 x

cross multiply

4x = 8100

x = 2025

answer:

y=x+5

**i don't know what it is that you need but i hope this helps**

good luck :)

have a nice day!

Answer:

14130 yd³

Step-by-step explanation:

The formula of volume of sphere

[tex] = \frac{4}{3} \pi {r}^{3}[/tex]

The volume of the sphere

[tex] = \frac{4}{3} \times 3.14 \times {(30 \div 2)}^{3} [/tex]

[tex] = \frac{4}{3} \times 3.14 \times {15}^{3} [/tex]

[tex] = \frac{42390}{3} [/tex]

= 14130 yd³

Answer:

0.44

Step-by-step explanation:

44/100 as a decimal is 0.44.

Hope this helped!!!

The decimal equivalent to the fraction 44/100 is 0.44.

We have,

To find a decimal equivalent to the fraction 44/100, we can simply divide the numerator (44) by the denominator (100):

44 ÷ 100 = 0.44

The concept used to find the decimal equivalent of a fraction is division.

By dividing the numerator by the denominator, we obtain the decimal representation of the fraction.

Therefore,

The decimal equivalent to the fraction 44/100 is 0.44.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ6

Answer:

it would be any number because variables don't mean a certain,number

Step-by-step explanation:

the point (7,-10) is located in 1 at quadrant

Answer:

Quadrant 4

Step-by-step explanation:

To find this out, simply get a coordinate plane and plot the coordinate point.

OR

You can remember this formula for coordinate points:

Quadrant 1: (x,y)

Quadrant 2: (-x,y)

Quadrant 3: (-x,-y)

Quadrant 4: (x,-y)

Point (7,-10) has a positive x-coordinate and a negative y-coordinate. This means it belongs in quadrant 4.

Answer:

D

Step-by-step explanation:

A = πr^2

A = π12^2

A = π144

A ≈ 452.16

Answer:

The answer is 452.16

Step-by-step explanation:

If you don't believe me you can use a circle calculator

Answer:

$31.94

Step-by-step explanation:

29.99 x 0.065 = 1.95

29.99 + 1.95= 31.94 :)

Answer:

$31.94

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Because if you compare the two "y" section on both graphs you will notice that the "Speedy Delivery" charges way more than the "Lightning Delivery ."

Hope this helps ,have a good day.

Answer:

1,400

Step-by-step explanation:

Evaluate for x=2

100(2^3+2^2+2)

=1400

PLZ give me brainliest

If you have 60 gal and 5% (12) is being drained per min it will only take 5 mins to drain all the water

I don't know if I solved it the way you needed me to, but I hope it helps

I don't know what the answer choices are so yeah.

Answer:

52 in

Step-by-step explanation:

I added all the sides I already know which is 10+5+5+16= 36

then to find the sides we don't know I subtracted part of the side we do know from the full side we do know for example I subtracted 5 from 10 and 5 from 16 to get 5 and 11 as the missing sides then I added those to the 36 so final answer is 52 in

Answer:

Option B

[tex]A'(5,5)[/tex]

[tex]B'(5,1)[/tex]

[tex]C'(2,1)[/tex]

[tex]D'(1,5)[/tex]

[tex]----------[/tex]

hope it helps...

have a great day!!

Answer:

x = 3 , y = 2

Step-by-step explanation: