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Alexeev081 [22]
2 years ago
13

Which of the following describes the transformation of p(x)=x3 to the function q(x)=−(x−6)3−4 ?

Mathematics
2 answers:
Mashcka [7]2 years ago
8 0
UwU my daddys got a gun
Anna71 [15]2 years ago
5 0

Answer:

A

Step-by-step explanation:

(X) =x3 to the function q(x-6)3-4

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A fisherman traveled in a boat from point N upstream. After having traveled 6 km, he stopped rowing and 2 hour 40 min after firs
Nat2105 [25]

Answer:

The speed of the river's current is 4.5 km/hr.

Step-by-step explanation:

Given : A fisherman traveled in a boat from point N upstream.

After having traveled 6 km, he stopped rowing and 2 hour 40 min after first leaving N, he was brought back to N by the current.

Knowing that the speed of the boat in still water is 9 km/hour

To find : The speed of the river’s current.

Solution :

Let the speed of current  = x km/h

Speed of boat = 9 km/h

Thus, the speed in upstream = (9 - x) km/h

Also, the speed in downstream = x km/h (because the boat is stationary in downstream)

Total distance = 6 km ( from N to the point he reached )

Total time = 2 hours 40 minutes

\text{2 hours 40 minutes}=2\frac{40}{60}=2 \frac{2}{3} \\\\\text{2 hours 40 minutes}=\frac{8}{3} \text{ hours}

We know, \text{Time} = \frac{\text{Distance}}{\text{Speed}}

According to the question,

\frac{6}{9-x}+\frac{6}{x}=\frac{8}{3}

Taking LCM and 6 common

6[\frac{x+9-x}{(9-x)x}]=\frac{8}{3}

Take 6 to another side,

\frac{9}{9x-x^2}=\frac{8}{3\times 6}

Cross multiply,

9\times 18=8\times(9x-x^2)

162=72x-8x^2

Taking 4 common and cancel out

4x^2-36x+81=0

Solve quadratic equation by middle term split,

4x^2-18x-18x+81=0

2x(2x-9)-9(2x-9)=0

(2x-9)(2x-9)=0

\Rightarrow 2x-9=0

\Rightarrow x=\frac{9}{2}=4.5

Therefore, The speed of the river's current is 4.5 km/hr.

6 0
3 years ago
Write a rule for g and then graph each function. Describe the graph of g as a transformation.
GuDViN [60]

Hey I need help on that too. Do you want to be friends with me??

7 0
3 years ago
A smart phone costs $149.99 before tax. The the tax on the phone is 7 percent.What is the total cost of the smart phone?Round yo
Yuri [45]
7% is the same as 7/100 so take

149.99 x 7/100 = $10.50 which is the TAX

and then add that to the original price 

10.50 + 149.99 = 160.49
5 0
3 years ago
FIND THE SLOPE <br> please explain me how to do it
natka813 [3]

Answer:

slope = - 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (- 4, 7) and (x₂, y₂ ) = (0, 3) ← 2 ordered pairs from the table

m = \frac{3-7}{0+4} = \frac{-4}{4} = - 1

5 0
3 years ago
Read 2 more answers
Combine the following sets of terms.
DanielleElmas [232]

Let's simplify step-by-step To understand :)

3x2−7x−(x2+3x−9)

Distribute the Negative Sign:

=3x2−7x+−1(x2+3x−9)

=3x2+−7x+−1x2+−1(3x)+(−1)(−9)

=3x2+−7x+−x2+−3x+9

Combine Like Terms:)

=3x2+−7x+−x2+−3x+9

=(3x2+−x2)+(−7x+−3x)+(9)

=2x2+−10x+9

Answer :)

=2x2−10x+9


HOPE THIS HELPS

3 0
3 years ago
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