HELP PLS, ill reward w brainlist or whatever those things r JUST HELP

Answer:

[tex]\displaystyle b = -22[/tex]

Step-by-step explanation:

We are given the function:

[tex]\displaystyle f(x) = (x^3+bx+6)(g(x))[/tex]

Where b is a constant and g is a differentiable function.

And we want to determine the value of b such that f'(2) = 0.

Find f' using the product rule:

[tex]\displaystyle \begin{aligned} f'(x) & = \frac{d}{dx}\left[ (x^3+bx+6)(g(x))\right] \\ \\ & = \frac{d}{dx}\left[ x^3 + bx + 6\right] g(x) + (x^3+bx+6)\frac{d}{dx}\left[ g(x)\right] \\ \\ & = (3x^2+b)(g(x)) + (x^3 + bx + 6)(g'(x))\end{aligned}[/tex]

Substitute using known values and solve for b:

[tex]\displaystyle \begin{aligned}f'(2) = 0 & = (3(2)^2+b)(g(2)) + ((2)^3+b(2)+6)(g'(2)) \\ \\ 0 & = (12+b)(3) + (14+2b)(-1) \\ \\ 0 & = 22 +b \\ \\ b & = -22\end{aligned}[/tex]

In conclusion, the value of b is -22.

The function f is given b is a constant and g is a differentiable function the value b (-8.4),

Let's start by finding the derivative of the given function f(x) with respect to x:

f(x) = (x³ + bx + 6) × g(x)

Using the product rule for differentiation, the derivative of f(x) is:

f'(x) = (x³ + bx + 6) × g'(x) + g(x) × (3x² + b)

Now we are interested in finding the value of b for which f'(2) = 0. So, let's plug in x = 2 and use the information given about g(2) and g'(2):

f'(2) = (2³ + 2b + 6) × g'(2) + g(2) × (3 × 2² + b)

Since g(2) = 3 and g'(2) = -1,

f'(2) = (8 + 2b + 6) × (-1) + 3 × (3 × 4 + b)

= (2b + 14 - 8) + 3× (12 + b)

= 2b + 6 + 36 + 3b

= 5b + 42

Now, we want to find the value of b for which f'(2) = 0:

5b + 42 = 0

Subtracting 42 from both sides:

5b = -42

Dividing both sides by 5:

b = -8.4

To know more about function here

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Complete question:

The function f is given by f(x)=(x^{3}+bx+6)(g(x)), where b is a constant and g is a differentiable function satisfying g(2)=3 and g′(2)=−1. For what value of b is f′(2)=0?

7

10

12

22

-8.4

Answer:

(-2,5)

Step-by-step explanation:

Ignore this, I posted the wrong answer and I don't know how to delete it.

Answer:

Yes/true

Step-by-step explanation:

-2(z+9)-(-5)=-2⋅z-2⋅9+5

sostituisco la lettera dandogli un valore

=-2(-6+9)-(-5)=-2⋅(-6)-2⋅9+5

calcolo e tolgo le parentesi

=-2⋅3+5=12-18+5

Elimino i termini uguali

=-2⋅3=12-18

Somma e moltiplicazione tra i numeri

=-6=-6

Answer:

-6/5

Step-by-step explanation:

I hope it helps, bye

Answer:

b

Step-by-step explanation:

mark brainliest pls....

Answer:

so theirs 4 suits so 1/4 but since you have 2 cards

its 1/2 or 50%

Hope This Helps!!!

Answer:

1: x =(16-√392)/2=8-7√ 2 = -1.899

2: x =(16+√392)/2=8+7√ 2 = 17.899

Step-by-step explanation: I found two solutions it’s either one or two.

I hope this helped :) I tried my best.

Answer: $255.58

Step-by-step explanation:

$310.30*0.07= $21.721

$310.30-$21.72= $255.579

Round

$255.579 --> $255.58

Answer:

The side of an equilateral triangle equals:

2 * height / sqr root (3)

side = 2 * sqr root (12) / sqr root (3)

side = 2 * 2 * sqr root (3) / sqr root (3)

side x = 4

Step-by-step explanation:

Answer:

1.9375

Step-by-step explanation:

used a clacalator

Answer:

31/16 or 1.9375 or 1 and 15/16

Step-by-step explanation:

Work Shown:

time = distance/speed

time = (1.5 miles)/(3 mph)

time = (1.5/3) hours

time = 0.5 hours

time = 30 minutes

It takes 30 minutes to walk to school, so you should leave a half hour before 9:00. Subtracting 30 minutes from 9:00 gets you to 8:30. If anything, you should start a little bit before 8:30 just in case something might slow you down for one reason or another.

Answer:

-1

Step-by-step explanation:

[tex]3 + \sqrt{10 - {3}^{2} } + - 5 \\ = 3 + \sqrt{10 - 9} - 5 \\ = 3 + \sqrt{1} - 5 \\ = 3 + 1 - 5 \\ = 4 - 5 \\ = - 1[/tex]

Answer:

-1

Hope you could get an idea from here.

Doubt clarification - use comment section.

Answer:

[tex]y=-3x-8[/tex]

Step-by-step explanation:

slope-intercept form:

[tex]y=mx+b[/tex]

Start with the given equation, and to find the slope, convert it to slope-intercept form by solving for y.

[tex]3x+y=-5[/tex]

In this case, all you need to do is subtract 3x from both sides.

[tex]y=-3x-5[/tex]

Here, the slope is -3. The slope of a parallel line will also be -3.

Now, we have 3 known variables. We have the slope and the x and y of a known point. Use those 3 knowns to solve for the 1 unknown, the y-intercept.

[tex]y=mx+b\\-5=(-3)(-1)+b\\-5=3+b\\-8=b\\b=-8[/tex]

Finally, with the slope and the y-intercept, you can write the equation of the line:

[tex]y=-3x-8[/tex]

Answer:

it would need 40 liters of natural oil

8x5=40

Answer:

a. 125

Step-by-step explanation:

the angle labeled "x" is supplementary with the angle that has a measure of 55°

Supplementary angles add up to equal 180°

This means that x + 55 must equal 180

Note that we've just created an equation that we can use to solve for x.

We now solve for x using the equation we just created.

x + 55 = 180

subtract 55 from both sides

x = 125

The answer is a

Use the property of similarity of triangles =》the corresponding sides of a triangle should be in the same ratio.

Take the missing side as 'x'.

The corresponding sides here are,

■ 7 & 14 ft

■ 5 & x ft

7/14 = 5/x

7x = 5 × 14 (cross multiplication)

7x = 70

x = 70/7

x = 10 ft

Height of the tree = 10 ft.

_____

Hope it helps ⚜

f we plot the provided points, we'd end up with something like the picture below, which is a line, mind you a declining line from left to right, so we can pretty see it has a negative slope, to get the slope we can just pick any two given points and check what it might be as well as get its equation, hmmm let's use the points of (4,-8) and (2,8)[tex](\stackrel{x_1}{4}~,~\stackrel{y_1}{-8})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{8}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{8}-\stackrel{y1}{(-8)}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{4}}}\implies \cfrac{8+8}{-2}\implies \cfrac{16}{-2}\implies -8 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-8)}=\stackrel{m}{-8}(x-\stackrel{x_1}{4})\implies y =-8x+24[/tex]

so is linear because it has a slope (common difference) of -8,

Step-by-step explanation:

Hi, I think correct variant is B

(28÷7)+7=4+7=11

2/5 cup of sugar

you divide 5 by 5 to get 1 cup of flour, and you divide 2 by 5 to get 2/5 cup of sugar

Answer:

he can run 4.2 miles

Step-by-step explanation:

rate=distance/time

6 miles/50min =3/25 miles per min

rate=distance//time

3/25=distance/35

3/25 * 35 =distance

4.2 =distance

Answer:

X = -1 (unsure as to how this is not an answer but I have checked my work)

Step-by-step explanation:

( f(x) = y )

1. y = 2x + 2

  -2         -2

2. -2 = 2x

    /2     /2

3. -1 = x

Answer:

7.9 pounds of fruit

Step-by-step explanation:

In all means to add, so 7 + .9 = 7.9 pounds

Answer:

0.65 cents

Step-by-step explanation:

12x4=48 total

31.20/48 = 0.65 cents each

Answer:

Step-by-step explanation:

Answer: 69

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

The x coordinate of vertex J and L are same of x= -2, JL // Y axis

Height is the perpendicular segment (KD) from K to JL, KD // X axis

area = JL * KD /2 = ((1 - -5)* (4 - -2)) / 2 = (6 * 6) / 2 = 18

Answer:

sqr75=sqr25*sqr3=5*sqr3

88(5*sqr3)

decimal = 762.10235533

Answer:

Step-by-step explanation:

Given:

Solution:

Rewrite the expression as:

Multiply 88 into 5:

Answer:

BDE

Step-by-step explanation:

for x=2....value will be 53

for x=7.....value will be 33

brainliest......