Given the function f(x)=-x^2-5x+12f(x)=−x 2 −5x+12, determine the average rate of change of the function over the interval -5\le x \le 4−5≤x≤4.

Answer:

x = [tex]11\sqrt{2}[/tex]

y = [tex]11\sqrt{2}[/tex]

Step-by-step explanation:

the ratio of the sides of a 45 - 45 - 90 triangle is shown at the bottom of this answer.

as you can see, it is x:x:[tex]x\sqrt{2}[/tex]

The side given is x[tex]\sqrt{2}[/tex], so you have:

[tex]x\sqrt{2}=22[/tex]

divide both sides by [tex]\sqrt{2}[/tex]

x = [tex]22/\sqrt{2}[/tex]

multiply this by [tex]\sqrt{2} /\sqrt{2}[/tex]

[tex]x = 22\sqrt{2}/2[/tex]

[tex]x=11\sqrt{2}[/tex]

y is also equal so y = [tex]11\sqrt{2}[/tex]

Step-by-step explanation:

[tex] {x}^{2} - 81 = (x + 9)(x - 9)[/tex]

Answer:

50 students

Step-by-step explanation:

24% students in a clan were absent in a day .

Hence, the Percentage of students present is calculated as:.

= 100 % - 24 %

= 76%

From the question, we know that:

If 38 students were present ,what is the total strength in the clan

The total strength of the clan = Total number of students. This is calculated as:

76% × x = 38 students.

76/100 × x = 38

76x /100 = 38

Cross Multiply

76x = 38 × 100

x = 3800/76

x = 50 students

Answer:

133.5

Step-by-step explanation:

Answer:y=415 x = 21.5

Step-by-step explanation:

We can see 4x-37 = 49

4x = 86

x = 21.5

4(21.5) -3 = 83

Then we can see what the other side is because they are equal

y/5 = 83

83 x 5 = 415

y=415

Answer:

A) 65 degrees

B) 89 degrees

Step-by-step explanation:

Complementary angles always add up to 90 degrees whereas supplementary angles always add up to 180 degrees

Hope it helps :)

Answer: Y=50x

Step-by-step explanation:

since the average is 50 mph and y represents the total distance with x representing the time in hours the soluition would be y=50x where however many hours multiplied by 50 equals the distance in miles Dee traveled

Answer:

48[tex]x^{7}[/tex]y

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )

where h is the height and b₁, b₂ the parallel bases , then

A = [tex]\frac{1}{2}[/tex] × 4[tex]x^{5}[/tex] × (9x²y + 15x²y )

   = 2[tex]x^{5}[/tex] × 24x²y

   = 48[tex]x^{7}[/tex]y

The simplified expression for the area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].

A trapezium is a quadrilateral with four sides where two sides are parallel to each other.

We have,

Trapezium.

Height = 4[tex]x^5[/tex]

Parallel sides are 15x²y and 9x²y.

The area of the trapezium.

= 1/2 x h x ( sum of the parallel sides )

Now,

Area of the trapezium.

= 1/2 x 4[tex]x^5[/tex] x (15x²y + 9x²y)

= 2[tex]x^5[/tex] x (15x²y + 9x²y)

= 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex]

Thus,

The area of the trapezium is 30[tex]x^7y[/tex] + 18[tex]x^7[/tex][tex]y[/tex].

Learn more about trapezium here:

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Answer:

infinitely many solutions cuz in mathmatices any problem has solution

The value of n is, 75.

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

An inverse variation includes the points (15, 1) and (n, 5).

Now, We know that;

The inverse variation is defined as,

⇒ y = k x

Here, An inverse variation includes the points (15, 1) and (n, 5).

Hence, Substitute x = 15, and y = 1;

⇒ 1 = k × 15

⇒ k = 1/15

And, Substitute x = n and y = 5;

⇒ y = k x

⇒ 5 = 1/15 × n

⇒ 5 × 15 = n

⇒ n = 75

Learn more about the proportion visit:

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Answer:

B. 5

Step-by-step explanation:

Use the pythagorean theorem to solve: [tex]a^{2}[/tex]+[tex]b^{2}[/tex]=[tex]c^{2}[/tex].

[tex]a^{2}[/tex]+[tex]12^{2}[/tex]=[tex]13^{2}[/tex]

[tex]a^{2}[/tex]+144=169

Subtract 144 from 169.

[tex]a^{2}[/tex]-144=169-144

[tex]a^{2}[/tex]=25

Square root to get a.

[tex]\sqrt{a}[/tex]=[tex]\sqrt{25}[/tex]

a= 5

Answer:

It means that when x = 3, y = 1, obviously when the first function expression takes 3, y = 1

Answer:

8

Step-by-step explanation:

1/10 bottle of paint covers 2/5 of box

2 bottles of paint will cover x of box

Using cross multiplication :

1/10 = 2 / 5

2 = x

(1 / 10)x = 2/5 * 2

x / 10 = 4 / 5

Cross multiply :

5x = 40

Divide both sides by 5

x = 40/5

x = 8

Hence, 2 bottles of paint will be used to paint 8 boxes

Answer:

X= 24+7/8 | Y=  24-8x

Steps for answers:

For X:

1. Add y to both sides.

-8x=24+y

2. Divide both sides by -8.

x=-24+y/8

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

For Y:

​1. Add 8x to both sides.

-y=24+8x

2. Multiply both sides by -1.

y=-24-8x

Done by NeighborhoodDealer :

Answer:

x=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Solve the equation for x by finding a, b, and c of the quadratic then applying the quadratic formula x = 6 Double roots

Answer:

8 miles per minute

A. 3.6

B. 5.9

C. 4.7

D.

Answer:

15. 0.125 miles a minute/16 a. 0.274     b. 0.181    c. 0.210      d. 60 packets for 10.9 is the best option.

Step-by-step explanation:

Answer:

Step-by-step explanation:

D = 17 in

W = 12 in

H = ??

Monitor is a ractangle, so we can use the Pythagoeran theorem:

W² + H² = D²

12² + H² = 17²

H² = 289 - 144

H² = 145

H = √145 ≈ 12

Answer:

B

Step-by-step explanation:

Answer:

3rd one and the 4th one

Step-by-step explanation:

Hopt it helps.....

Well first go to 'Add Attachments' when your asking a question.

Click whatever file/photo that you wanna show us, and click done.

See?

Ta da~

Answer:

40% of 40 is 16. 40 - 16 = 24. So the dress is $24.

Answer:

The answer is below

Step-by-step explanation:

In a certain​ year, the amount A of garbage in pounds produced after t days by an average household is given by A = 7.5t.

Plot a graph for t > 0

how many days it will take to get 200 pounds of garbage.

Solution:

a) Let the time in days (t) be on the x axis and the amount of garbage (A) in pounds be on the y axis. Therefore:

At t = 0; A = 7.5(0) = 0

At t = 10; A = 7.5(10) = 75

The graph was plotted using the geogebra online graphing tool.

b) number of days require to get 200 pounds of garbage can be gotten by finding the value t for which A = 200. Therefore:

A = 7.5t

t = A / 7.5 = 200 / 7.5

t = 26.67 days

Answer:

me

Step-by-step explanation:

gbgtgrygthfthfthf i do lol

Answer:

m = -2

b= -6

Step-by-step explanation:

Answer:

the gradient or slope I guess is -2

and the y intercept is -6

Question is incomplete, we will however explain how the scale works using examples

Answer and explanation:

Given the map scale 1:2000000, the fraction from this 1/2000000 is the representative fraction. The representative fraction is the ratio of distance on the map to the real distance on ground.

With the representative fraction 1/2000000, we can find how many meters on the ground is represented by a unit of measurement in centimeters on the map thus:

Given 1m= 100cm

Representative fraction broken down = 1/2×10000×100

Therefore 1cm on the map = 20000m on ground

Answer:

Step-by-step explanation:

Assume the parabola is vertical.

y = a(x-0)^2 +7

y = ax^2 + 17

Plug in (1,-2) and solve for a

-2 = a1^2 + 17

a = -19

y = -19x^2 + 7

Answer:

I think the slope is 1.....I believe so..

Step-by-step explanation: