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3 years ago

Part I

Mathematics

2 answers:

loris [4]3 years ago

4 0

Answer:

the other guy is correct

Step-by-step explanation:

tino4ka555 [31]3 years ago

3 0

Answer:

Step-by-step explanation:

I know that the two means are are 11.28 and 12.

I could be wrong but I did the math 5 times.

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Which statement describes the inverse of m(x) = x^2 – 17x?

DochEvi [55]

Given:

The function is

$m(x)=x^2-17x$

To find:

The inverse of the given function.

Solution:

We have,

$m(x)=x^2-17x$

Substitute m(x)=y.

$y=x^2-17x$

Interchange x and y.

$x=y^2-17y$

Add square of half of coefficient of y , i.e., $\left(\dfrac{-17}{2}\right)^2$ on both sides,

$x+\left(\dfrac{-17}{2}\right)^2=y^2-17y+\left(\dfrac{-17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=y^2-17y+\left(\dfrac{17}{2}\right)^2$

$x+\left(\dfrac{17}{2}\right)^2=\left(y-\dfrac{17}{2}\right)^2$ $[\because (a-b)^2=a^2-2ab+b^2]$

Taking square root on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}=y-\dfrac{17}{2}$

Add $\dfrac{17}{2}$ on both sides.

$\sqrt{x+\left(\dfrac{17}{2}\right)^2}+\dfrac{17}{2}=y$

Substitute $y=m^{-1}(x)$ .

$m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$

We know that, negative term inside the root is not real number. So,

$x+\left(\dfrac{17}{2}\right)^2\geq 0$

$x\geq -\left(\dfrac{17}{2}\right)^2$

Therefore, the restricted domain is $x\geq -\left(\dfrac{17}{2}\right)^2$ and the inverse function is $m^{-1}(x)=\sqrt{x+(\dfrac{189}{4}})+\dfrac{17}{2}$ .

Hence, option D is correct.

Note: In all the options square of $\dfrac{17}{2}$ is missing in restricted domain.

7 0

3 years ago

6437585839765349 + 52367538546941478 ?

Harrizon [31]

5.880512439 x 10^16

5.880512439 x 10^16Hope this helps!

4 0

2 years ago

Jordan is driving to a concert and needs to pay for parking. There is an automatic fee of $11 just to enter the parking lot, and

Mashcka [7]

Answer:

11+(2×4)

11+8

$19....

7 0

3 years ago

Read 2 more answers

−6.2<−4.5, yet |−6.2|>|−4.5|. Use a number line to show why.

romanna [79]

Answer:

-27.9

Step-by-step explanation:

3 0

3 years ago

Can someone please help me with my math homework

Natali5045456 [20]

Josephine travels 32500+78000 yards at 60 mph
=110500yards
=62.78miles

time = distance/spped
time = distance/60
time=62.78/60
time=1.05 (1 hour 5 mins)

Marcus travels 78000(2)(square) +32500(2)
= 84500yards
=48 miles

time = distance/speed
time=48/45
time=1.07 (1 hour 7 mins)

a)Josephine arrives first
b)she arrives earlier by 2 mins.

6 0

3 years ago