For the functions g and f simplify the following expressions. f(x) = 2x - 4
g(x)=4/x-1
fºg gºf

Answer:

b

Step-by-step explanation:

Answer:

x^2 + 3x

Step-by-step explanation:

just add like terms so 3x^2 - 2x^2 = x^2 and 11x - 8x = 3x

Answer:

C

Step-by-step explanation:

Volume of a cylinder is πr²h

V = π * 5² * 8

V = π * 25 * 8

V = π * 200

V = 200π

Answer:

d

Step-by-step explanation:

^u^

The amount of units that must be sold to a number yields a maximum profit is 600. Hence 600 units will be the correct option.

To find the maxima of any function it needs to differentiate with respect to the dependent variable and equate with zero to get stationary points.

After achieving the stationary points it needs to put on the double derivative of that function to check whether it's maxima or minima.

If the double derivative got negative then it will be maxima.

Given that function

f(x) = -0.001(x-600)² + 90

By differentiation

[tex]$f'(x)$[/tex] = -0.002(x - 600) + 90

Now equate with zero

-0.002(x - 600) + 90 = 0

x - 600 = 0

x = 600

Now checking the x at double derivative

[tex]$f''(x)$[/tex] at x = 600 it is coming out to -0.002 which is negative Hence, the 600 units will be the correct answer.

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Answer:

6

Step-by-step explanation:

3 is smaller that 5 so round down

Answer:

2. 8x

3. (12/2)*(10/2)

Step-by-step explanation:

Answer:

q= 20 p= 56

Step-by-step explanation:

A angle is also 62°

Answer:

q = 20 degrees

p = 59 degrees

Step-by-step explanation:

to find q, find all the other interior angles within that shape and subtract it from 360

angle E = 180 - 62 = 118

angle b = 90

angle c = 132

360 - (118 + 90 + 132) = 20

angle q = 20 degrees

to find p, add all the other interior angles within that shape and subtract it from 180

angle e = 62 degrees

angle a and b are the same so, take 62 and subtract it from 180 then divide the answer by 2

180 - 62 = 118

118 / 2 = 59

angle a = 59 degrees

angle p = 59 degrees

Step-by-step explanation:

f[g(4)]

g(x) = 4x

g(4) = 4(4)

= 16

f(x) = x-5

f[g(4)] = f(16) = 16 - 5 = 11

So, f[g(4)] = 11

Answer:

C. $126

Step-by-step explanation:

Let us say x is the amount of money Sky makes for babysitting 7 hours.

[tex]\frac{72}{4} =\frac{x}{7}[/tex]

[tex]\frac{72}{4} = 18[/tex]

[tex]18=\frac{x}{7}[/tex]

x=$126

Answer:

136.2

Step-by-step explanation:

Plugin x = 18 in the polynomial.

P(x) = 0.02x³ + 0.04x² + 0.3x + 1.2

P(18)= 0.02*(18)³ + 0.04*(18)² + 0.3*18 + 1.2

      = 0.02 * 5832  + 0.04*324 + 5.4 + 1.2

      = 116.64 + 12.96 + 5.4 + 1.2

      = 136.2

Answer:p=-6

Step-by-step explanation:

Answer:

5,0

10,0

( I'm sorry if this wasn't helpful to you) ;(

Answer:

the constant is x

Answer:

its 4

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

hope this helps lovely! <3

Answer: Picture is blury for me I can not see it well enough

Step-by-step explanation:

All i see is the 8 ft and 17ft cant see any of the other numbers

Answer:

Jose stretched the taffy the farthest and Maria stretched it the least

Step-by-step explanation:

Distance stretched by George = 3 feet

Distance stretched by Jose is [tex]1\dfrac{1}{3}[/tex] times as much as George so

[tex]3\times 1\dfrac{1}{3}=3\times\dfrac{4}{3}=4\ \text{feet}[/tex]

Distance stretched by Jose is [tex]4\ \text{feet}[/tex]

Maria streched the taffy [tex]\dfrac{2}{3}[/tex] times as George

[tex]3\times \dfrac{2}{3}=2\ \text{feet}[/tex]

Maria stretched the taffy by [tex]2\ \text{feet}[/tex]

Sally stretched it [tex]\dfrac{6}{6}[/tex] so [tex]1\ \text{feet}[/tex]

So, Jose stretched the taffy the farthest and Maria stretched it the least.

Answer:

1

Step-by-step explanation:

when dividing numbers with exponents with the same base, subtract the exponents.

[tex]\frac{8^{7} }{8^{7} }[/tex]

7 - 7 = 0

[tex]\frac{8^{7} }{8^{7} }[/tex] = [tex]8^{0}[/tex]

anything to the power of 0 is 1

[tex]8^{0}[/tex]= 1

Answer:

1

Step-by-step explanation:

Any number divided by itself equals 1 with the exception of 0 since 0/0 is undefined.

8^7 is not equal to zero, so without doing any calculations or using any other rules, we know that

8^7/8^7 = 1

We can use the rule of exponents for dividing powers.

Rule:

[tex] \dfrac{a^m}{a^n} = a^{m - n} [/tex]

Here we have a = 8, m = 7, and n = 7.

Applying the rule, we get

[tex] \dfrac{8^7}{a^7} = 8^{7 - 7} = 8^0 [/tex]

Another rule of exponents:

[tex] a^0 = 1 [/tex]

We the zero power rule now:

[tex] 8^0 = 1 [/tex]

Therefore,

[tex] \dfrac{8^7}{a^7} = 1 [/tex]

Answer: 1

Answer:

6

Step-by-step explanation:

Because they are the same

Answer:

A(-1,2)

B(-4,4)

C(-3,1)

Step-by-step explanation:

simply reflect across the y-axis. pls give brainliest

Answer: y+2x=15

Step-by-step explanation:

Given

Two points A and B are (4,7) and (6,3) respectively

Using two-point form

[tex]\Rightarrow \dfrac{y-y_1}{x-x_1}=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Putting values

[tex]\Rightarrow \dfrac{y-7}{x-4}=\dfrac{3-7}{6-4}\\\\\Rightarrow \dfrac{y-7}{x-4}=\dfrac{-4}{2}=-2\\\\\Rightarrow y-7=-2x+8\\\\\Rightarrow y+2x=15[/tex]

Answer:

Step-by-step explanation:

Total Depreciation: 60.24%

Total depreciation: $9,759.50

Car Value after 6 years: $6,440.50

The element is remaining 146.6 grams after 7 minutes, to the nearest 10th of a gram.

An exponential function's curve is created by a pattern of data called exponential decay, which exhibits higher decreases over time.

The exponential decay function:

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Given:

An element with mass 630 grams decays by 18.8% per minute.

That means, 18.8% = 0.188

Here, we will use the exponential decay function.

Aₙ = A₀(1-r)ˣ, where y = Final amount, A₀ = Initial amount, r = Rate of decay in decimal form, x = Time.

Here,

A₀ = 630 grams

r = 0.188

x = 7 minutes

Substituting the values to the formula,

A₇ = 630(1-0.188)⁷

A₇ = 630(0.812)⁷

A₇ = 630(0.23275134787)

A₇ = 146.633

A₇ = 146.6 grams.

Therefore, element is remaining 146.6 grams.

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Answer:

equation: 55 + (2x + 3) + 90 = 180

55 + 2x + 3 + 90 = 180

2x + 148 = 180

2x = 32

x = 16

Answer:

55 + 50 + 2x+3 + 2x+8 = 180

x = 16

Step-by-step explanation:

55 + 50 + 2x+3 + 2x+8 = 180

113 + 4x = 180

4x = 64

x = 16

one piece is 2m

one is 8m

Answer:

(-3, 4)

It doesn't show any coordinates so I assume that the origin is where the x and y axes intercept