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4 years ago

Find equations for the horizontal and vertical tangent lines to the curves

1 answer:

4 0

That's where slope is 0, any line tangent at that point will be horizontal: when x=3 or when x=−1. Then find the corresponding y value in the first equation: f(x)=(x−2)(x2−x−11), to determine the two points: (x1,y1),(x2,y2) where the line tangent to f(x) is horizontal

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What is the product? 5/ 3 23 42 52 4 54 5 44

Dafna1 [17]

Answer:

5,10,15,20,25,30,25,40,45,50,55,

Step-by-step explanation:

7 0

4 years ago

3. Given 4x – 8y = 8:

Mazyrski [523]

Slope-intercept form is y = mx + b, so to turn that equation into slope-intercept you'll need to get y alone

4x - 8y = 8 --- subtract 4x
-8y = 8 - 4x --- divide by -8
y = -1 + (1/2)x --- reorder to match "mx + b"
y = (1/2)x - 1

in y = mx + b, "m" is the slope and "b" is the y-intercept. so for part B, your slope is (1/2) and your y-intercept is (-1). take the sign with you.

for part C, you'll need to know point-slope form: (y - y1) = m(x - x1)
you'll also need to be aware that "perpendicular" lines have a slope that is the opposite reciprocal of the original line.

the original slope is (1/2). change the sign to negative and form a reciprocal: your new slope is -2. plug that into your point-slope form

(y - y1) = m(x - x1)
(y - y1) = (-2)(x - x1)

and lastly, plug in your given point: (1, 2)

y - 2 = (-2)(x - 1)

so, just to look a little neater without all of the work:
A) y = (1/2)x - 1
B) m = (1/2), b = -1
C) y - 2 = (-2)(x - 1)

5 0

3 years ago

Write an explicit formula for a_na

Masja [62]

Explicit formula for the sequence 29,20,11....... is $a_n=38-9n$

Given :

term of the sequence 29, 20, 11, ...

We need to find out the formula for the nth term of the given sequence

Lets find out whether the given sequence is arithmetic or geometric

In the given sequence , common difference is 9

$20-29=-9\\11-20=-9$

we can say difference =-9

General explicit formula

$a_n=a_1+(n-1)d$

where a1 is the first term

common difference d=-9

substitute the values

$a_n=a_1+(n-1)d\\a_n=29+(n-1)(-9)\\a_n=29-9n+9\\a_n=38-9n$

Explicit formula for the sequence 29,20,11....... is $a_n=38-9n$

Learn more : brainly.com/question/23243640

5 0

3 years ago

To reach a vacation spot, the Jones family first traveled by plane and then drove the

navik [9.2K]

The distance flown by plane is 750 kilometers.

Step-by-step explanation:

Let,

Distance traveled by plane = x

Distance traveled by car = y

Total distance = x+y

According to given statement;

The distance by car was 125 kilometers less than the distance by plane.

y = x - 125 => x=y+125 Eqn 1

The total distance was 500 kilometers less than three times the distance traveled by car.

Total distance = 3y - 500

x+y=3y-500 Eqn 2

Putting value of x from Eqn 1;

$(y+125)+y=3y-500\\y+y+125=3y-500\\2y=3y-500-125\\2y-3y=-625\\-y=-625\\y=625$

Putting y=625 in Eqn 1

$x=625+125\\x=750$

The distance flown by plane is 750 kilometers.

Keywords: linear equations, substitution method

Learn more about linear equations at:

#LearnwithBrainly

3 0

3 years ago

-4 1/3 + 5 2/3 step by step

Dominik [7]

Answer:

1 1/3

Step-by-step explanation:

-4 1/3 + 5 2/3 = -13/3 + 17/3 { change into improper form}

= { (-13) + 17 } / 3

= 4 / 3

= 1 1/3

4 0

3 years ago