ABDF is a regular hexagon. What is the measure of angle A?

If f(x)=x+1 and g (x)=2x^2-2x-1 what is (gof)(x)

BlackZzzverrR [31]

Answer:

e

f

∘

g

(

x

)

=

2

x

2

−

4

x

−

3

And

g

∘

f

(

x

)

=

(

2

x

−

3

)

(

2

x

−

5

)

Step-by-step explanation: f

(

x

)

=

2

x

−

3

g

(

x

)

=

x

2

−

2

x

=

f

(

g

(

x

)

=

f

(

x

2

−

2

x

)

=

2

(

x

2

−

2

x

)

−

3

=

2

x

2

−

4

x

−

3

g

∘

f

(

x

)

=

g

(

f

(

x

)

=

g

(

2

x

−

3

)

=

(

2

x

−

3

)

2

−

2

(

2

x

−

3

)

=

(

2

x

−

3

)

(

2

x

−

3

−

2

)

=

(

2

x

−

3

)

(

2

x

−

5

)

f

∘

g

(

x

)

≠

g

∘

f

(

x

)

3 0

2 years ago

Read 2 more answers

High-power experimental engines are being developed by the Stevens Motor Company for use in its new sports coupe. The engineers

Maurinko [17]

Answer:

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

Step-by-step explanation:

Step:-1

Given that the mean of the Population = 540HP

Given that the size of the sample 'n' = 9

Given that the mean of the sample = 570HP

Given that the sample standard deviation = 30HP

Step(ii):-

Degrees of freedom = n-1 =9-1 =8

t₀.₀₀₅ = 3.3554

The 99% of a confidence interval for the average maximum HP for the experimental engine.

$(x^{-} - t_{\frac{0.01}{2} ,8} \frac{S.D}{\sqrt{n} } ,x^{2} + t_{\frac{0.01}{2},8 } \frac{S.D}{\sqrt{n} } )$

$(570-3.354\frac{30}{\sqrt{9} } , 570+3.354\frac{30}{\sqrt{9} } )$

(570 - 33.54 , 570+33.54)

(536.46 , 603.54)

Final answer :-

The 99% of a confidence interval for the average maximum HP for the experimental engine.

(536.46, 603.54)

4 0

3 years ago

An 8-ounce bag of candy is on sale for $1.12. What is the cost of 1 ounce of this candy?

Darya [45]

Answer:

0.14

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

95. Because atoms, molecules, and ions are very small, they are counted in units of moles, where 1 mole = 6.022 × 1023 molecules

Galina-37 [17]

Answer:

There are 10⁻⁷ hydrogen ions in one-liter water

Step-by-step explanation:

Hi there!

a. If the pH = 7.0, then:

-log(H) = 7.0

multiply both sides of the equation by -1

log(H) = -7.0

Apply 10ˣ to both sides

10^(log (H)) = 10⁻⁷

(H) = 10⁻⁷

There are 10⁻⁷ hydrogen ions in one-liter water.

Why 10^(log (H)) = (H)?

Let´s consider this function:

y = 10^(log x)

(Apply log to both sides)

log y = log 10^(log x)

(Apply logarithmic property: log xᵃ = a · log x)

log y = log x · log 10

(log 10 = 1)

log y = log x

y = x

(since y = 10^(log x) and y = x):

10^(log x) = x

That´s why 10^(log (H)) = (H)

7 0

3 years ago

Hamburgers cost $2 and hotdogs cost $2. The total cost of buying b hamburgers and d hotdoge can be expressed by C=3b+2d. how can

sveticcg [70]

C= 3b + 2d
Subtract 3b first.

C-3b = 2d
Divide by 2.

C-3b/2 = d

OR

C-3b
-------- = d Your final answer!
2

3 0

3 years ago