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2 years ago

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2 answers:

tatiyna2 years ago

8 0

Answer:

1 and 3

Step-by-step explanation:

Part a: 1 and 3

part b: x = −22

<u><em>Please mark as brainliest </em></u>

Have a great day, be safe and healthy

Thank u

XD

postnew [5]2 years ago

5 0

Answer:

Part A: A

Part B: $x+18=8(2x-6)-18x$

Step-by-step explanation:

When in Step 1, the equation is multiplied by two, the second term, -9x, is not doubled as well. Thus the answer above for Part B, is what Step 1 should look like.

Finishing evaluating the problem:

$x+18=16x-48-18x$

$x+18=-2x-48$

$3x=-66$

$x=-22$

QED

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Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.

il63 [147K]

Answer:

The minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

Step-by-step explanation:

Given function is $f(x) = 0.15(x + 1)^2 - 3$

We need to find the maximum value or the minimum value for the function.

Now, differentiate $f(x) = 0.15(x + 1)^2 - 3$ w.r.t $x$ .

$f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\$

$f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)$

Now, we will equate $f'(x)=0$ to find critical point.

$0.3(x+1)=0\\x=-1$

Plug this critical point in to the function $f(x) = 0.15(x + 1)^2 - 3$ we get,

$f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3$

Also, $f''(x)=0.3$ which is positive, We have minimum value.

So, the minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

7 0

3 years ago

Neil has 3 partially full cans of white paint . They contain 1/3 gallon , 1/5 gallon and 1/2 gallon of paint. About how many pai

stepan [7]

Answer:

About 1 gallon. (32/30)

Step-by-step explanation:

First get a LCM (least common multiple) for 3, 5, and 2.

Now we have 30. Make 30 the denominator for all.

10/30

15/30

7/30

Then add them all up to get 32/30.

About 1 gallon.

4 0

3 years ago

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Wich algebraic expression represents ”forty times a number”?<br><br> 40+n<br> 40n<br> n-40<br> 40/n

Reika [66]

The answer to the problem is 40n

4 0

2 years ago

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mel-nik [20]

Answer:

choice 4) 33.5 in³

Step-by-step explanation:

r = 4/2

V = 4/3πr³ = 4/3(3.14)(2³) = 33.5 in²

8 0

2 years ago

Integrate the following. ∫<img src="https://tex.z-dn.net/?f=5x%5E%7B4%7D%20dx" id="TexFormula1" title="5x^{4} dx" alt="5x^{4} dx

Vadim26 [7]

Answer:

$\displaystyle D) {x}^{5} + \rm C$

Step-by-step explanation:

we would like to integrate the following Integral:

$\displaystyle \int 5 {x}^{4} \, dx$

well, to get the constant we can consider the following Integration rule:

$\displaystyle \int c{x} ^{n} \, dx = c\int {x}^{n} \, dx$

therefore,

$\displaystyle 5\int {x}^{4} \, dx$

recall exponent integration rule:

$\displaystyle \int {x} ^{n} \, dx = \frac{ {x}^{n + 1} }{n + 1}$

so let,

$n = 4$

Thus integrate:

$\displaystyle = 5\left( \frac{ {x}^{4+ 1} }{4 + 1} \right)$

simplify addition:

$\displaystyle = 5\left( \frac{ {x}^{5} }{5} \right)$

reduce fraction:

$\displaystyle = {x}^{5}$

finally we of course have to add the constant of integration:

$\displaystyle \boxed{ {x}^{5} + \rm C}$

hence,

our answer is D)

7 0

2 years ago

Read 2 more answers