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2 years ago

Which of the following points lies on the graph of the inverse of f(x) = 6^(x + 1)?

1 answer:

8 0

F ( x ) = 6^(x+1)
y = 6^(x+1)
$x+1=log _{6}y \\ x = log _{6}y-1$
The inverse is:
$y = log _{6}x$
And when you plug in the values: x = 1, y = - 1:
- 1 = log 1 - 1
- 1 = 0 - 1
- 1 = - 1
so the answer is:
( 1, - 1 )

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A diver dives from a 10m springboard. the equation f(t) = -4.9t² + 4t + 10 models her height above the pool at time t. When will

Gennadij [26K]

Answer:

At time t = 0.408 sec diver will be at maximum height

Step-by-step explanation:

We have given equation of the height $f(t)=-4.9t^2+4t+9$

We know that velocity is the rate of change of distance with respect to time

So $v=\frac{df(t)}{dt}=\frac{df(-4.9t^2+4t+10)}{dt}=-9.8t+4+0=-9.8t+4$

At maximum height velocity will be zero

So $-9.8t+4=0$

t = 0.408 sec

So at time t = 0.408 sec diver will be at maximum height

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2 years ago

THE DIFFERENCE OF TWO NUMBERS IS 4 AND THEIR SUM IS -7. WHAT IS THEIR PRODUCT. Who ever solved this correct will mark brainlist.

babunello [35]

Answer:

33/4

Step-by-step explanation:

Let the first number be x, and the second number be y.

x - y = 4

x + y = -7

Solve for x in the first equation.

x - y = 4

x = 4 + y

Put x as (4 + y) in the second equation and solve for y.

4 + y + y = -7

4 + 2y = -7

2y = -7 - 4

2y = -11

y = -11/2

Put y as -11/2 in the first equation and solve for x.

x - y = 4

x - (-11/2) = 4

x + 11/2 = 4

x = 4 - 11/2

x = -3/2

Their product is:

-11/2 × -3/2

33/4

6 0

2 years ago

Read 2 more answers

I WILL GIVE U BRANLIEST What is the coefficient of x^2 in the simplified product of

Vikki [24]

Answer:

-14

Step-by-step explanation:

Okay first we must simplify the expression.

so this:(3x^2 + x-2)(x - 5)

becomes this:3x^3-14x^2-7x+10

then we look at the coefficient of x^2 and we see that it's -14

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2 years ago

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A map has the scale 1/3inch = 8 miles. If city a and city b are 12 inches apart on my map then how far apart are the city’s in r

Feliz [49]

The equation would be
12 ÷ 1/3 =
12 x 3/1 =
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36 miles

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1 year ago

The image of the point (6, 6) under a translation is (5,2). Find the coordinates of

Dmitry [639]

9514 1404 393

Answer:

(-1, -2)

Step-by-step explanation:

The difference between the coordinates of the image and the coordinates of the original is the same for both points.

X - (0, 2) = (5, 2) -(6, 6)

X = (5, 2) -(6, 6) +(0, 2) = (5-6+0, 2-6+2)

X = (-1, -2)

The image of the point after translation is (-1, -2).

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2 years ago