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2 years ago

What value of g makes the equation true? (x+7)(x-4)=x²+gx-28

Mathematics

1 answer:

34kurt2 years ago

4 0

Answer:

g = 3

Step-by-step explanation:

(x+7)(x-4) = x²+ gx -28

Multiply the two parenthesis

(x+7)(x-4)= x² -4x +7x -28

Combine like terms

(x+7)(x-4)= x²+3x-28

Compare the equations

x²+ gx -28 = x² +3x -28

g = 3

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Elena L [17]

Answer:

The inverse of the function is $f^{-1}(x)=\frac{x-5}{3}$ .

Step-by-step explanation:

The function provided is:

$f (x)=3x+5$

Let $f(x)=y$ .

Then the value of <em>x</em> is:

$y=3x+5\\\\3x=y-5\\\\x=\frac{y-5}{3}$

For the inverse of the function, $x\rightarrow y$ .

⇒ $f^{-1}(x)=\frac{x-5}{3}$

Compute the value of $f[f^{-1}(x)]$ as follows:

$f[f^{-1}(x)]=f[\frac{x-5}{3}]$

$=3[\frac{x-5}{3}]+5\\\\=x-5+5\\\\=x$

Hence proved that $f[f^{-1}(x)]=x$ .

Compute the value of $f^{-1}[f(x)]$ as follows:

$f^{-1}[f(x)]=f^{-1}[3x+5]$

$=\frac{(3x+5)-5}{3}\\\\=\frac{3x+5-5}{3}\\\\=x$

Hence proved that $f^{-1}[f(x)]=x$ .

8 0

3 years ago

1. Use the formula S(d)=√9.8d to calculate the estimated speed, in meters per second, of a tsunami if the disturbance occurred a

postnew [5]

Answer: 1. 210 meters per second .

2. 756 kilometers per hour.

Step-by-step explanation:

Given : The formula $S(d)=\sqrt{9.8d}$ to calculate the estimated speed, in meters per second of a tsunami.

1. If the disturbance occurred at an ocean depth of 4,500 meters.

Then put d= 4500 in the above formula , we get

$S(d)=\sqrt{9.8\times4500}$

$S(d)=\sqrt{44100}=\sqrt{21\times21\times10\times10}\\\\=\sqrt{210^2}=210$

Hence, if the disturbance occurred at an ocean depth of 4,500 meters , the estimated speed would be 210 meters per second .

Also, A meter per second is equal to 3.6 kilometers per hour.

i.e. 1 meter per second = 3.6 kilometers per hour

Then by unitary method ,

210 meters per second = $3.6\times210$ kilometers per hour

=756 kilometers per hour.

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3 years ago

The value of the power (-8) ti the second power is

pochemuha

Answer:

-8 to the second power is -8^2 Which is -8×-8 Which gives 64

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3 years ago

Amelia claims that if she doubles the length and width of the base of a rectangular prism and triples the height, she has increa

julia-pushkina [17]

Answer:

Step-by-step explanation:

(2L)(2W)(3H) = 12LWH.

Amelia gets it.

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3 years ago

Tyshawn took a taxi from his house to the airport. The taxi company charged a pick-

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3.5m + 2.5 = 79.5 is the equation that could be used to determine m, the number of miles in the taxi ride.

Given in question,

Pick-up fee = $2.50

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Fee for m miles = 3.50m

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Hence, the equation is 3.50m + 2.50 = 79.50.

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brainly.com/question/14686792

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1 year ago