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3 years ago

Given that (3,-1) is on the graph of f(x), find the corresponding point for the function f(3x)

Mathematics

1 answer:

Katarina [22]3 years ago

8 0

Answer:

(1, -1)

Step-by-step explanation:

You have the point ...

(3, f(3)) = (3, -1)

The corresponding point on the horizontally compressed graph will be ...

(3x, f(3x)) = (3, -1)

(x, f(3x)) = (1, -1) . . . . . the first coordinate of the given point is divided by 3

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Julie and Eric row their boat (at a constant speed) 55 miles downstream for 5 hours, helped by the

Archy [21]

Answer: C = 3 mph is the rate of the current.

Step-by-step explanation:

Hey there!

<u />

<u>You can use the distance formula (d = rt) to solve this problem. </u>

Downstream trip: d = 55 miles, t = 5 hours, and r = R + C

R + C is their rowing speed (R) plus the rate of the current (C).

Upstream trip: d = 55 miles, t = 11 hours, and r = R - C

R - C is their rowing speed (R) minus the rate of the current (C).

Downstream: 55 mi. = (R + C)5 hrs. Divide both sides by 5: R + C = 11

Upstream: 55 mi. = (R - C)11 hrs. Divide both sides by 11: R - C = 5

<u>Calculations</u>

R + C = 11 Subtract C from both sides.

R = 11 - C Substitute this into: R - C = 5

(11 - C) - C = 5 Simplify and solve for C

11 - 2C = 5 Add 2C to both sides.

11 = 2C + 5 Subtract 5 from both sides.

6 = 2C Divide both sides by 2

C = 3 mph is the rate of the current.

~I hope I helped you! :)~

5 0

3 years ago

VIEW THE GRAPH WILL MARK BRAINLY IF DONE QUICKlY

Gelneren [198K]

Step-by-step explanation:

<h2><em><u>The following graph shows the ... ... or not to continue the recent lunch special promotion at his restaurant. ... earned, y, from the number of lunch specials ordered per hour, x.</u></em></h2>

5 0

2 years ago

Read 2 more answers

Greg is going to start a lawn mowing business and

Sladkaya [172]

Answer:

9.4 gallons of gas

Step-by-step explanation:

4×2.35=9.4

6 0

3 years ago

6) (after 2.3) Consider the infinite system of linear equations in two variables given by ax + by = 0 where (a, b) moves along t

Paraphin [41]

Answer:

Step-by-step explanation:

Given infinite system of linear equations is ax + by = 0

when (a,b) moves along unit circle in plane.

a) system having unique system (0, 0)

Since two of equation in thus system will be

$1.x+0.y=0\\x=0$

and

$0.x+1.y=0\\y=0$

It is clear that x = 0, y= 0 is the only solution

b) Linear independent solution in this system gives some set of solutions

$1.x+0.y=0\\\x=0$

and

$0.x+1.y=0\\y=0$

Vector form is

$\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I$

c) for this equation if add 0x +0y = 0 to system , Nothing will change

Because [0,0] satisfies that equation

d) If one of the equation is ax + by = 0.00001

where 0.00001 is small positive number

so, the system will be inconsistent

Therefore, the system will have no solution.

6 0

3 years ago

-3(x + 4) = (-x - 1)

zaharov [31]

Answer:

x=-5.5

Step-by-step explanation:

-3(x+4)=(-x-1)

1. Distribute

-3x+(-12)=-x-1

2. Simplify

-3x-12=-x-1

-2x-12=-1

-2x=11

x=-11/2

x=-5.5

4 0

3 years ago

Read 2 more answers