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kolbaska11 [484]
3 years ago
8

A. The slope of the curve y=x^3- 1 at the point P(1,0) is .

Mathematics
1 answer:
Ierofanga [76]3 years ago
5 0

Answer:

3

Step-by-step explanation:

The measure of the slope is \frac{dy}{dx} at x = a

Differentiate using the power rule

\frac{d}{dx}(ax^{n}) = nax^{n-1}

Given

y = x³ - 1, then

\frac{dy}{dx} = 3x²

The slope at (1, 0) is

\frac{dy}{dx} = 3(1)² = 3

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Need help please exams tomorrow
Romashka [77]

<u>Answer:</u>

  • The value of x is 14.

<u>Step-by-step explanation:</u>

<u>We know that:</u>

  • ΔABC ≅ ΔEFG
  • 21 x 2/3 = x

<u>Work:</u>

  • 21 x 2/3 = x
  • => 7 x 3 x 2/3 = x
  • => 7 x 2 = x
  • => 14 = x

Hence, <u>the value of x is 14.</u>

Hoped this helped.

7 0
2 years ago
G(x) = -3x<br> f(x)=x+3<br> Find g(f(5))
never [62]

Answer:

To find the answers, all I have to do is apply the operations (plus, minus, times, and divide) that they tell me to, in the order that they tell me to.

(f + g)(x) = f (x) + g(x)

= [3x + 2] + [4 – 5x]

= 3x + 2 + 4 – 5x

= 3x – 5x + 2 + 4

= –2x + 6

(f – g)(x) = f (x) – g(x)

= [3x + 2] – [4 – 5x]

= 3x + 2 – 4 + 5x

= 3x + 5x + 2 – 4

= 8x – 2

(f  × g)(x) = [f (x)][g(x)]

= (3x + 2)(4 – 5x)

= 12x + 8 – 15x2 – 10x

= –15x2 + 2x + 8

\left(\small{\dfrac{f}{g}}\right)(x) = \small{\dfrac{f(x)}{g(x)}}(

g

f

​

)(x)=

g(x)

f(x)

​

= \small{\dfrac{3x+2}{4-5x}}=

4−5x

3x+2

​

My answer is the neat listing of each of my results, clearly labelled as to which is which.

( f + g ) (x) = –2x + 6

( f – g ) (x) = 8x – 2

( f  × g ) (x) = –15x2 + 2x + 8

\mathbf{\color{purple}{ \left(\small{\dfrac{\mathit{f}}{\mathit{g}}}\right)(\mathit{x}) = \small{\dfrac{3\mathit{x} + 2}{4 - 5\mathit{x}}} }}(

g

f

​

)(x)=

4−5x

3x+2

​

Step-by-step explanation:

4 0
1 year ago
Ms. Oshiro teaches her 27 students to make folded-paper birds. Each student can make about 2 birds in 1 minute. About how many b
Lostsunrise [7]

Answer:

The answer is 2970

Step-by-step explanation:

Collectively, all the students can make about 54 books rds per minute (27 * 2)

Therefore in 55 minutes there should be 2970

(54*55) :)

8 0
2 years ago
Phillip is rolling two number cubes. how many different ways can he roll the number cubes and get a sum of 5?
Greeley [361]
4+1, 3+2, 2+3, 1+4. 4 total combinations, unless 4+1 and 1+4 are the same. In that case, there are only 2, 1+4, and 2+3
8 0
3 years ago
In preparation for the Senior Prom, 8 seniors got together and decided to travel in style and rent a limousine. They investigate
Snowcat [4.5K]
<span>The limousine will cost $240.
$180 for the first three hours, plus 30 for each hour after. They need two extra hours.
So, 180+30(2)=240.
They also want to leave a $20 dollar tip.
So, 240+20=260
That is $260 dollars they need to pay altogether.
Divide that number by the number of students and you'll get how much they each must pay.
260/8=32.50

$32.50 each.

♦Brainliest please♦
</span>
4 0
3 years ago
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