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3 years ago

Find the derivative of the following functions:

Mathematics

1 answer:

DerKrebs [107]3 years ago

3 0

I will only do the first-three. You can repost number 4.

Question 1

f(x) = -x^2 + 10x + 4

dy/dx = -2x + 10

Question 2

f(x) = 20 - x + 2

dy/dx = -1

Question 3

f(x) = ex^4 - 2x^2

dy/dx = e•4x^3 + x^4 - 4x

dy/dx = 4ex^3 + x^4 - 4x

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Which two terms in (3+14) +27 could you add to get a multiple of ten?

Aleksandr-060686 [28]

Answer:

3 and 27

Step-by-step explanation:

Step 1: Determine which two terms we can use

We have the following numbers to choose from: 3, 14, 27

Adding two numbers to get a multiple of ten means that the number that we come up with needs to be divisible by ten. For example: 20, 30, 50, 100 are all multiples of ten.

In this example the only one that would add up to create a multiple of ten is 27 and 3 which would give us 30 which is a multiple of 10.

Answer: 3 and 27

8 0

2 years ago

Estimate the percentage: 6,683 of 20,489 a. 0.3% c. 3% b. 43.3% d. 33.3% Explain

Katarina [22]

Answer:

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

PLs help 50 PTS!!!!! PLEASE ILL GIVE BRAINLIEST!!!!!

Nookie1986 [14]

Answer:

$\large\boxed{y=\dfrac{1}{4}x^2-x-4}$

Step-by-step explanation:

The equation of a parabola in vertex form:

$y=a(x-h)^2+k$

(h, k) - vertex

The focus is

$\left(h,\ k+\dfrac{1}{4a}\right)$

We have the vertex (2, -5) and the focus (2, -4).

Calculate the value of a using $k+\dfrac{1}{4a}$

k = -5

$-5+\dfrac{1}{4a}=-4$ add 5 to both sides

$\dfrac{1}{4a}=1$ multiply both sides by 4

$4\!\!\!\!\diagup^1\cdot\dfrac{1}{4\!\!\!\!\diagup_1a}=4$

$\dfrac{1}{a}=4\to a=\dfrac{1}{4}$

Substitute

$a=\dfrac{1}{4},\ h=2,\ k=-5$

to the vertex form of an equation of a parabola:

$y=\dfrac{1}{4}(x-2)^2-5$

The standard form:

$y=ax^2+bx+c$

Convert using

$(a-b)^2=a^2-2ab+b^2$

$y=\dfrac{1}{4}(x^2-2(x)(2)+2^2)-5\\\\y=\dfrac{1}{4}(x^2-4x+4)-5$

use the distributive property: a(b+c)=ab+ac

$y=\left(\dfrac{1}{4}\right)(x^2)+\left(\dfrac{1}{4}\right)(-4x)+\left(\dfrac{1}{4}\right)(4)-5\\\\y=\dfrac{1}{4}x^2-x+1-5\\\\y=\dfrac{1}{4}x^2-x-4$

3 0

3 years ago

Which statement best describes the function below?

harina [27]

Answer:

D. It is a many-to-one function

Step-by-step explanation:

One-to-one if every y value has exactly one x value mapped onto it
Many-to-one if there are y values that have more than one x value mapped onto them.

We have a function that is of degree 3, so it has 3 x-intercepts which means there are points (x₁, 0), (x₂, 0), (x₃, 0), so it is a many-to-one function

Correct option is D

8 0

3 years ago

Question 10 Divide £64 in the ratio 3:5

ICE Princess25 [194]

Answer:

24:40

Step-by-step explanation:

3:5

This means there are 8 divisions altogether - 8 parts to be split (3+5=8)

64 / 8 = 8

8x3 = 24

8x5 = 40

£24:£40

Hope this makes sense!

8 0

1 year ago