Given the function h(x)=-x^2+x+4, determine the average rate of change of the function over the interval −1≤x≤5.

Answer:

an=8n−14

Step-by-step explanation:

for an AP

where

a

1

=

the first term

d

=

the common difference

then we have

a

1

,

(

a

1

+

d

)

,

(

a

1

+

2

d

)

,

...

,

a

1

+

(

(

n

−

1

)

d

)

,

.

.

we are given the third term

10

=

a

1

+

2

d

−

−

(

1

)

and the fifth term

26

=

a

1

+

4

d

−

−

(

2

)

subtract

(

2

)

−

(

1

)

16

=

2

d

⇒

d

=

8

sub into

(

1

)

10

=

a

1

+

2

×

8

⇒

a

1

=

−

6

so the nth term

a

n

=

a

+

(

n

−

1

)

will be

a

n

=

−

6

+

8

(

n

−

1

)

a

n

=

8

n

−

14

Answer:

1:4

Step-by-step explanation:

84-63=21

there are 21 milk chocolates in the box

ratio of milk chocolates to total number of chocolates=21:84

                                                                     simplify that=1:4

Answer:

25sqrt(3)

Step-by-step explanation:

The answer to b would be 12 because 4sqrt(3) * sqrt(3) = 12

The area is bh/2, so take 12 * 4sqrt(3) and divide by two

Answer:

32

63

Step-by-step explanation:

m<BCA=180-148-32 Subtract 180-148 b/c x<BCA is along the straight line ACD. A straight line will have an angle of 180 degrees.

m<CAB=180-32-85=63 All triangles have angles which add up to 180 degrees. Subtract 32 and 85 from 180 to get 63.

Step-by-step explanation:

148 + x = 180

x = 180 - 148

x = 32

Find m<CAB basically means find the measure of the angle of A ( m<A )

m<B + m<A + x = 180

85 + m<A + 32 = 180

117 + m<A = 180

m<A = 180 - 117

m< A = 63, so m<CAB = 63

And m<BCA means find the measure of angle C(m<C) or as we did it earlier as x, which is the same thing.

So m<BCA = 32

Answer:

omg I absolutely love your profile picture:)

Answer:

-0.8(x + 9)(x - 1)

Step-by-step explanation:

Note that 0.8 is a factor of the three coefficients -0.8, -6.4 and 7.2.  Thus,

-0.8x2 - 6.4x + 7.2  =  0.8(-1x^2 - 8x + 9), or, equivalently,

                               = -0.8(x^2 + 8x - 9), which factors further as follows:

                                = -0.8(x + 9)(x - 1)

Answer:

59/12

Step-by-step explanation:

2 1/4=9/4

9/4+8/3=27/12+32/12=59/12

Answer:

x = 17

Step-by-step explanation:

Angle A and angle B are complementary.

Therefore,

(2x + 16)° + 40° = 90°

(2x + 16)° = 90° - 40°

(2x + 16)° = 50°

2x + 16 = 50

2x = 50 - 16

2x = 34

x = 34/2

x = 17

Slope-Intercept Form: y=mx+b

Slope: m

HOW TO FIND m:

Rise/Run

4/6 (it can be simplified)

We get two thirds (2/3)

y-intercept: (b)

4

Equation: y=2/3x+4

I really hope it helps:)

- An Acellus Student

Plus a scientific fact:

We have 100 billion neurons in our brain:)

Answer:

(-4, -5)

Step-by-step explanation:

-4x + 2y = 6

-4x + 2(x - 1) = 6

-4x + 2x - 2 = 6

-2x - 2 = 6

-2x - 2 + 2 = 6 + 2

-2x = 8

-2x/-2 = 8/-2

x = -4

------------------------

y = x - 1

y = -4 - 1

y = -5

-------------------------

-4(-4) + 2(-5) = 6

16 + -10 = 6

6 = 6

Answer:

What is the magnitude and direction of the PQ−→− with tail and head points P(-6, 0) and Q(2, 4)? magnitude = √(64+16) = √80 = appr 8.9 , ruling out c.

hope this helps

The magnitude of PQ is 8.9 and PQ is making an angle of 26.57° so 8.9 units, 26.6° north of east will be the correct answer.

A vector is a quantity in which direction and magnitude both matters called a vector.

A vector joining by two points (x₁,y₁) and (x₂,y₂) will be (x₂-x₁)[tex]\hat{i}[/tex] + (y₂-y₁)[tex]\hat{j}[/tex]

The magnitude of this vector will be  

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]  

The direction of this vector will be  

[tex]\\tan^{-1}(\frac{y_2-y_1}{x_2-x_1)}[/tex]

Given P(-6,0) and Q(2,4) so vector joining by

[tex]\vec{PQ}[/tex] = [2-(-6)][tex]\vec{i}[/tex]  + [4-0][tex]\vec{j}[/tex]

[tex]\vec{PQ}[/tex] =  8[tex]\vec{i}[/tex] + 4[tex]\vec{j}[/tex]

now, the magnitude  [tex]\vec{PQ}[/tex] will be

⇒  [tex]\sqrt{(8^2+4^2)}[/tex]

⇒ 8.944

The direction of the vector [tex]\vec{PQ}[/tex] will be

⇒  [tex]\tan^{-1}(\frac{4}{8})[/tex]

⇒26.57°

So, the magnitude of PQ is around 8.944 and the direction is 26.57° from the positive x axis so it's north of the east.

For more information about vector

https://brainly.com/question/13322477

#SPJ5

Answer:

1-8x

Step-by-step explanation:

1/x - 8

x × 1/x - 8× x

1-8x

Answer: 36

Step-by-step explanation:

(7x4) +8 (4-3)

Answer:

22

Step-by-step explanation:

If x = 4 then the equation will be

7(4) + 8(4 -3)

14 + 32 - 24

= 22

Answer:

1 1/7

Step-by-step explanation:

By the way for help on math I would reccomend Mathpapa it helps a lot!

Answer:

1. 1/7

2. 1/5

3. 5/7

4. 5/6

5. 1/3

6. 2/5

7. 2/3

8. 3/7

9. 1/10

10. 4/7

Step-by-step explanation:

Hope this helps!

Answer:

2/14 =  1/7

3/15  =  1/5

25/35  =   7/5

20/24   =   5/6

6/18  =   1/3

8/20  =    2/5

10/15  =    2/3

6/14  =      3/7

4/40  =    1/10

20/35 =  4/7

Step-by-step explanation:

Answer: The answer is B.

Step-by-step explanation:

Just multiply -2 five times.

-2 * -2 * -2 * -2 * -2

-2*-2 = 4

-2*-2 * -2 = -8

4 * -8

=  -32

decimal form: .03125

Answer: I think the answer is B.

Answer:

Answer = 37

Step-by-step explanation:

= (5)² + (2)³ + (4)¹

= 25 + 8 + 4

= 37 Answer

Answer: The answer is 37

Step-by-step explanation:

Step 1: Use Negative Power Rule: x^-a=1/x^a. So 1/(1/5)^2+(1/2)^-3+(1/4)^-1

Step 2: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/5^2+(1/2)^-3+(1/4)^-1

Step 3: Simplify 5^2 to 25. So 1/1/25+(1/2)^-3+(1/4)^-1

Step 4: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/(1/2)^3+(1/4)^-1

Step 5: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/25+1/1/2^3+(1/4)^-1

Step 6: Simplify 2^3 to 8. So 1/1/25+1/1/8+(1/4)^-1

Step 7: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/1/8+1/1/4

Step 8: Invert and multiply. 25+1/1/8+1/1/4

Step 9: Invert and multiply. 25+8+1/1/4

Step 10: Invert and multiply. 25+8+4

Step 11: Simplify 25+8 to 33. So 33+4

Step 12: Simplify. So the answer is 37

Answer:

slope:3/5

Step-by-step explanation:

Answer:

It's below in the explanation

Explanation

1. x has to be greater than 2. So 3 and 4 both work

2. x has to be less than 22. So 21 and 20 both work

3. t has to be less than 5. So 3 and 4 both work

4. There isn't a number there. what is 5 less that?

5. j has to be less than 5 so 5 and 4 both work

6. y has to be less than 4. So 4 and 3 both work

7. B has to be greater than 26. so 26 27 and 28 all work

8.There isn't a number there

9.b can be 3 or greater than 3.

10.z can be 6 or greater than 6

Hope this Helps!

Answer:

1.35

Step-by-step explanation:

Answer:

A=246cm

Step-by-step explanation:

L= 9

W= 3

H= 8

2·(3·9+8·9+8·3)= 245

Formula= A=2(wl+hl+hw)

Answer:

quadrant 3 ( bottom left)

Step-by-step explanation:

Answer:

Quadrant || so point D

Step-by-step explanation:

the coordinates are (-4,5)

Answer: Area of a square is a².

4² = 16

Now find the area of the semicircle.

(πr²)/2

(3.14)(2)²/2

12.56/2

6.28

Now add the areas to find the total area.

6.28 + 16 = 22.28

Hope this helps :)

Step-by-step explanation:

Answer: 13.99

Step-by-step explanation:

Using sine rule

((sin 90)/18)= ((sin (180-(90+39)))/x)

((sin 90)/18)=((sin 51)/x)

(1/18)=(0.7771/x)

Cross multiply

x= 0.7771*18

x= 13.99

Answer:

43.00 this is correct!!!!!

Answer:

6=2/3h

Step-by-step explanation:

Answer:

The answer is 3x +y^3

Step-by-step explanation:

I hope this helps

Answer:

ew math yuck

Step-by-step explanation: