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3 years ago

Describe the transformation f(-x)

1 answer:

7 0

Changing $x\mapsto -x$ "inverts" the orientation of the x axis, so the graph of f(x) is transformed by reflecting it about the y axis.

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What is the value of 1 x ÷ 5, when x = 80? enter your answer in the box.

slava [35]

Insert 80 into the equation
1(80) / 5
80/5 = 16

7 0

2 years ago

Read 2 more answers

The equation h(t) = -16t² + 80t + 64 represented the height, in feet, of a potato t seconds after it has been launched.

Lyrx [107]

Answer:

Part A) The potato hit the ground at t=5.70 seconds (see the explanation)

Part B) The potato is 40 feet off the ground at the time t=5.28 seconds (see the explanation)

Step-by-step explanation:

we have

$h(t)=-16t^2+80t+64$

where

h(t) is the height of a potato in feet

t is the time in seconds

Part A) Write an equation that can be solved to find when the potato hits the ground. Then solve the equation

we know that

When the potato hit the ground, the value of h(t) must be equal to zero

For h(t)=0

$-16t^2+80t+64=0$

Solve the quadratic equation

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

$x=\frac{-b\pm\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$-16t^2+80t+64=0$

$a=-16\\b=80\\c=64$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(64)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{10,496}} {-32}$

$t=\frac{-80+\sqrt{10,496}} {-32}=-0.70$

$t=\frac{-80-\sqrt{10,496}} {-32}=5.70$

therefore

The potato hit the ground at t=5.70 seconds

Part B) Write an equation that can be solved to find when the potato is 40 feet off the ground. Then solve the equation

For h(t)=40 ft

substitute in the quadratic equation

$-16t^2+80t+64=40$

$-16t^2+80t+24=0$

Solve the quadratic equation

we have

$a=-16\\b=80\\c=24$

substitute in the formula

$t=\frac{-80\pm\sqrt{80^{2}-4(-16)(24)}} {2(-16)}$

$t=\frac{-80\pm\sqrt{7,936}} {-32}$

$t=\frac{-80+\sqrt{7,936}} {-32}=-0.28$

$t=\frac{-80-\sqrt{7,936}} {-32}=5.28$

therefore

The potato is 40 feet off the ground at the time t=5.28 seconds

3 0

2 years ago

What is the domain and range of the function?

Ierofanga [76]

Answer:

hello dude you see um this is complicated

Step-by-step explanation:

6 0

1 year ago

Solve by elimination 5x+4y = 12 3x - 3y = 18 Please help solve and provide steps.

SOVA2 [1]

First you solve for y.
5x+ y= 12 so Y= 12-5x
And plug it into the next equation
3x- 3(12-5x) = 18
Distribute
3x-36+15x=18
Add 36 to both sides
3x+ 15x= 54
18x= 54 ... divide
x= 3
And you can plug in x to solve for Y
5(3) + y = 12
15+ y = 12 ...subtract 15 from both sides
y= -3

4 0

3 years ago

Read 2 more answers

Solve for n 11/6=n+7/9 (Plz no trolling; will mark brainiest)

xxTIMURxx [149]

Answer:

$n=\frac{19}{18}$

Step-by-step explanation:

Ir order to find the value of n in the given linear equation: $\frac{11}{6} = n + \frac{7}{9}$ you have to perform the properties of equalities to obtain an equivalent equation.