For the function f(x) = -4x^2 + 8x+8, find the slope of the tangent line at
X = -3.

Answer:

-1078

Step-by-step explanation:

To find the nth term in an arithmetic sequence we use the following formula

aₙ=a₁+(n-1)*d

Where a₁ is the first time, and d is the common difference (in this case -20)

So we have

2+(55-1)*-20

2+(54)*-20

2-1080

-1078

Answer:

brackets

Step-by-step explanation:

Ya ave to use BIDMAS nd the B in BIDMAS stands for brackets

Answer:

Tuesday February the 2nd and the third day of the week

Answer:

sure

Step-by-step explanation:

also happy B-Day :)

Answer:

a = 8

Step-by-step explanation:

Pythagoras

hypotenuse² = Attitude ² + Base²

10² = a² + 6²

100 = a² +36

change side ; a² = 100-36

a² = 64

a = √64

a = 8 (Positive number only. not minus number)

so a = 8

hope it helps ☺️

Answer:

4x/5-2

Step-by-step explanation:

Answer:

-2x+18+25=14-3x

collect like terms

-2x+3x=14-25-18

x=29

Answer:

73

Step-by-step explanation:

you write 12 instead of b

Answer:

73

Step-by-step explanation:

Hope this helped!

Answer:

31 degrees

Step-by-step explanation:

Answer:

31 Degrees

Step-by-step explanation:

Since this is a right angle, it will equal 90 degrees.

Take 90 and subtract 59 to get g.

g = 31 degrees

Answer:

cos ([tex]\frac{7\pi}{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]

Decimal value: −0.9238795325...

Step-by-step explanation:

Write,

cos [tex]\frac{7\pi}{8}[/tex] = cos [tex](\pi-\frac{\pi}{8})[/tex] = −cos [tex]\frac{\pi }{8}[/tex]

Now using half angle formula, cos(x) = 2 cos²([tex]\frac{\pi }{2}[/tex]) − 1, we can write cos [tex]\frac{\pi }{4}[/tex] = 2

cos²([tex]\frac{\pi }{8}[/tex]) − 1

This means [tex]\frac{1}{\sqrt{2}}[/tex] + 1 = 2 cos²([tex]\frac{\pi }{8}[/tex])

2 cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{\sqrt{2}}[/tex]

cos²([tex]\frac{\pi }{8}[/tex]) = [tex]\frac{\sqrt{2}+1}{2\sqrt{2}}[/tex]

cos([tex]\frac{\pi }{8}[/tex]) = [tex]\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}[/tex]

Simplify,

[tex]\sqrt{\frac{\sqrt{2}+1}{2\sqrt{2}}}[/tex] = [tex]\sqrt{\frac{2+\sqrt{2}}{4}[/tex] = [tex]\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]

Hence,

cos ([tex]\frac{7\pi}{8}[/tex]) = −cos ([tex]\frac{\pi }{8}[/tex]) = [tex]-\frac{\sqrt{2+\sqrt{2}}}{2}[/tex]

The exact value of cos(7pi/8) is [tex]\rm -\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex] and this can be determined by using the trigonometric properties.

Given :

Expression  -- [tex]\rm cos(\dfrac{7\pi}{8})[/tex]

The following steps can be used to determine the exact value of the given expression:

Step 1 - Write the given expression.

[tex]=\rm cos(\dfrac{7\pi}{8})[/tex]

Step 2 - Rewrite the above expression.

[tex]= \rm cos(\dfrac{8\pi - \pi}{8})[/tex]

Step 3 - The above expression is reduced to:

[tex]= \rm -cos(\dfrac{ \pi}{8})[/tex]    --- (1)

Step 4 - According to the trigonometric properties:

[tex]\rm cos(x) = 2 cos^2(\frac{x}{2})-1[/tex]

Step 5 - Substitute the value of x = [tex]\pi[/tex]/4 in the above expression.

[tex]\rm cos(\frac{\pi}{4}) = 2 cos^2(\frac{\pi}{8})-1[/tex]

Step 6 - Simplify the above expression.

[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{\dfrac{1}{\sqrt{2}} +1}{2}}[/tex]

[tex]\rm cos(\frac{\pi}{8})=\sqrt{\dfrac{1+\sqrt{2} }{2\sqrt{2} }[/tex]

[tex]\rm cos(\frac{\pi}{8})=\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]

Step 7 - Substitute the value of cos([tex]\pi[/tex]/8) in the expression (1).

[tex]\rm -cos(\frac{\pi}{8})=-\dfrac{\sqrt{2+\sqrt{2}} }{2 }[/tex]

For more information, refer to the link given below:

https://brainly.com/question/17081568

Answer:

the answer to that question is A:3

Answer:

[tex]4 \frac{1}{4} [/tex]

Step-by-step explanation:

[tex]5 \frac{2}{3} \times \frac{3}{4} \\ \frac{17}{3} \times \frac{3}{4} \\ 17 \times \frac{1}{4} [/tex]

[tex] \boxed{Answer{\boxed{\green{= \frac{17}{4} = 4 \frac{1}{4} }}}}[/tex]

Answer:   2.951

x = -0.576

y = -0.97

-17x + 7y

= -17(-0.573) + 7(-0.97)

= 2.951

Answer:

(39,80,89)

Step-by-step explanation:

A Pythagorean triple is one that consists of three positive integers a, b and c such that;

a² + b² = c²

In this case;

The terms are: (x²-y², 2xy, x²+y²) where x > y > 0  where x=8 and y=5

The terms are : x²-y² = 8²-5² = 64-25 = 39

                       : 2xy = 2*8*5 =16*5 = 80

                       : x²+y²= 8²+5²=64+25 = 89

Applying the Pythagorean triple;

a² + b² = c²

39² + 80² = 89²

Answer:

1 and 2

Step-by-step explanation:

slope is 1

y intercept is 2

basically base it off the equation y = mx + b

the m is the slope, but since in this case there is no number before x, you just put 1, since 1 times x is just x and thats why its left out

the b is the y intercept, so in this case its 2

Answer:

42.5m/s

Step-by-step explanation:

Divide by 40

Answer:

Step-by-step explanation:

Answer and Step-by-step explanation:

Haven't done this in a while, so here we go:

The rule (I'm not really sure) would have to be negative number and negative number.

This means that:

(4, 0) would become (-4, 0) A'

(6, -2) becomes (-6, 2) B'

(8, -7) becomes (-8, 7) C'

and (0, -5) becomes (0, 5) D'

#teamtrees #WAP (Water And Plant)

Answer:

eight plus the answer to 10 minus 7

Step-by-step explanation:

theres no explanation really.

Answer:

Eleven

Step-by-step explanation:

8+( 10-7)

8+ ( 3)

8+3

11

The reason why we don't multiply 8 by 3 is because the parenthesis is multiplying a plus sign not 8

Answer: -ab - 11a^2 - 3b + 3a

Step-by-step explanation:

i think this is what you're wanting? if not just comment what you need and i'll retry it!

9514 1404 393

Answer:

  m∠J = 85°

Step-by-step explanation:

Angles G and H are congruent to angles Q and R, respectively. The sum of angles in a quadrilateral is 360°, so we have ...

  ∠J +∠F +∠G  +∠H = 360°

  ∠J +109° +122° +44° = 360°

  ∠J = 360° -275°

  m∠J = 85°

Answer:

11

Step-by-step explanation:

3 (4 - n) + 8

When n = 3:

3 (4 - 3) + 8

3 (1) + 8

3 + 8

11

Answer:

11

Step-by-step explanation:

Answer:

18 ft I'm pretty sure if not then I dunno

Answer:

yes it is great job

Step-by-step explanation:

Answer:

367441

Step-by-step explanation:

Answer:

367441

Step-by-step explanation:

Hope this helps! <3

Answer:

After 10 years , the number of residents in the community = 100,007.45

Step-by-step explanation:

Let P be the population of a farming community.

As we know that,

Exponential Growth model is :

P(t) = P₀[tex]e^{kt}[/tex]      ........(1)

where P₀ is the initial state , k is the growth constant.

As given,

A farming community begins with one resident.

⇒At t = 0 , P(t) = 1

∴ Put t = 0 in equation (1), we get

1 = P₀[tex]e^{0}[/tex]

⇒1 = P₀

∴  equation (1) becomes

P(t) = [tex]e^{kt}[/tex]    ......(2)

As given, every year, the number of residents multiplies by 10

⇒At t = 1 , P(t) = 10

∴ Put t = 1 in equation (2), we get

10 = [tex]e^{k}[/tex]

Taking ln both side we get

ln(10) = ln([tex]e^{k}[/tex] )

⇒2.3026 = k

∴  equation (2) becomes

P(t) = [tex]e^{2.3026t }[/tex]

Now, we have to find the population at t = 5

⇒P(5) = [tex]e^{5(2.3026} = e^{11.513} = 100,007.45[/tex]

So, we get

After 10 years , the number of residents in the community = 100,007.45

Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5

Step-by-step explanation:

and 0.5 x 12 is 6

The measure of the side length of the triangle is 6. Then the correct option is C.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

If the two triangles are similar, the ratio of the corresponding sides will be constant.

If triangles ADE and ABC shown in the figure below are similar.

From the figure, we have

x / 12 = 2 / 4

      x = 6

Then the correct option is C.

The complete question is attached below.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2

Answer:

[tex]y=3(x-2)^2[/tex]

Step-by-step explanation:

The vertex form of the quadratic function has the following equation:

[tex]y=a(x-h)^2+k[/tex]

Where (h, k) is the vertex of the parabola, and a is a coefficient different from zero.

We are given the vertex located at (2,0). The equation is now:

[tex]y=a(x-2)^2+0[/tex]

[tex]y=a(x-2)^2[/tex]

Since we know the point (1,3) is on the parabola:

[tex]3=a(1-2)^2[/tex]

3=a(1)

a = 3

Finally, the quadratic equation is:

[tex]\mathbf{y=3(x-2)^2}[/tex]

Answer:

C

Step-by-step explanation:

The relationship is y = 3x

Answer:

I think the answer is C because 0×3=0, 2×3=6, 4×3=12, 6×3=18.

Example for Table 1:

y = x + 6

So if X=-8

1st Row -8+6=-2

2nd Row -4+6=2

3rd Row -2+ 6=4

4th Row -9+6=-3

5th Row 2+6=8

So for any table, the X in the table rule is the X that you are working on.

Answer:

i got you:

1) -2, 2, 4, -3, 8

2) 37, -3, 29, -67, -75

3) -36, 4, -4, -20, -12

4) -10, 6, -4, 8, 4

5) -2, 18, -16, 6, -10

6) -4, -15, 2, 0, -6

7) -25, 23, 5, 29, 11

8) 24, 38, -60, 3, 10

9) 2, 4, 9, -1, -3

10) -14, -8, -15, -10, -16

11) 9, 18, -21, -3, -24

12) -10, 35, -73, 71, -19

hope that helps

Step-by-step explanation:

Answer:

9

Step-by-step explanation: