Can someone help me? It's urgent and thank you!

Given:

The table of values of a function.

To find:

The rate of change of the function over the interval [tex]1\leq x\leq 3[/tex].

Solution:

The rate of change of a function over the interval [a,b] is:

[tex]m=\dfrac{f(b)-f(a)}{b-a}[/tex]

The rate of change of the given function over the interval [tex]1\leq x\leq 3[/tex] is:

[tex]m=\dfrac{f(3)-f(1)}{3-1}[/tex]

From the given table, it is clear that the value of the function is 4 at [tex]x=1[/tex] and 16 at [tex]x=3[/tex].

[tex]m=\dfrac{16-4}{2}[/tex]

[tex]m=\dfrac{12}{2}[/tex]

[tex]m=6[/tex]

Therefore, the rate of change of the given function over the interval [tex]1\leq x\leq 3[/tex] is 6.

Answer:

1.73 or 3+√6/√3+√2

Step-by-step explanation:

1. Simplify the Numerator...3+ the square root of 6 cannot be simplified, so the answer is 5.45

2. Simplify the Denominator.

[tex]17 \sqrt{3} - 2 \sqrt{4} \sqrt{4} \sqrt{2} + 3 \sqrt{9} \sqrt{2} - 4 \sqrt{4} \sqrt{4} \sqrt{3} = 17 \sqrt{3} - 8 \sqrt{2} + 9 \sqrt{2} - 16 \sqrt{3} = \sqrt{3} + \sqrt{2} = 3.15[/tex]

3. Divide. 5.45/3.15= 1.73

[tex]\sqrt{42} =6.480740698/\sqrt{42}[/tex]

Answer:

6.4807 Step-by-step explanation:

The square root of 42 is 6.4807.

Answer:

[tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]

Step-by-step explanation:

slope of perpendicular line: m = [tex]\frac{1}{12}[/tex]

solve for b:

[tex]1 = \frac{1}{12}(-4) + b[/tex]

solve parenthesis:

[tex]1 = -\frac{1}{3}+b[/tex]

add [tex]\frac{1}{3}[/tex] to both sides:

[tex]b = \frac{4}{3}[/tex]

final equation: [tex]y = \frac{1}{12}x + \frac{4}{3}[/tex]

Answer:

x = 23 , y = 21

Step-by-step explanation:

-6x + 7y = 9 -- (1)

2x - 2y = 4 -- (2)

(2) x 3 : 6x - 6y = 12 -- (2)'

(1) + (2)' : y = 21 -- (3)

Subtituting (3) into (2),

2x - 42 = 4

2x = 46

x = 23 -- (4)

According (3) and (4),

x = 23 , y = 21

If this helps you, please give brainliest!

Answer:$499.20

Step-by-step explanation:

12% of 960 = 115.20

115.20 x 4

= 460.80

960 - 460.80

= $499.20

Answer:

Step-by-step explanation:

960(.88)^4 = $575.71

answer is A

Answer:

x = 9 hope i helped and sorry if I'm wrong :)

Answer:

D

Step-by-step explanation:

y2 - y1 / x2 - x1

-2 - (-7) / -12 - (-9)

5/-3

= -5/3

y2 - y1 / x2 - x1

6 - 9 / 6 - 1

= -3/5

Answer:

36 pi

Step-by-step explanation:

The radius is 6

A = pi r^2

A = pi 36

Answer:

Area of circle = 36 π square unit

Step-by-step explanation:

To calculate area of circle simplify formula area of circle . we have given radius of circle which is 6.

Area of circle = π × r²

where,

substitute the value

Area of circle = π × ( 6 ) ²

expand the exponent

Area of circle = π × 36

multiply

Area of circle = 36 π square unit

Answer:

59 is the complement of the angle ABC.

Step-by-step explanation:

complement is what adds to that angle to make it 90 degrees. 31+59=90

Answer:

59 is the complement of the angle ABC.

Step-by-step explanation:

Answer:

9

Step-by-step explanation:

f(x) = x − 7

g(x) = x^2

Find g(4) = 4^2 = 16

Then find f(g(4)) = f(16) = 16 -7 = 9

Answer:

f(g(4)) = 9

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

f(x) = x - 7

g(x) = x²

Step 2: Find f(g(4))

Answer:

17

220

Result in decimals: 0.077272727272727

Step-by-step explanation:

Answer:

[tex]7\frac{17}{220}[/tex]

Step-by-step explanation:

[tex]9\frac{8}{11} -2\frac{13}{20}=\\[/tex]

[tex]9\frac{160}{220} -2\frac{143}{220}=[/tex]

[tex]=7\frac{17}{220}[/tex]

Hope this helps

Answer:

Angles that are directly across from each other

Step-by-step explanation:

Vertical angles are angles that are directly across from each other, forming an x. They always have the same degree

Answer:

move the circle around that's how you co-ordinate

Step-by-step explanation:

Mrs. Malik ( my maths teacher ) helped me

Answer:

(x + 3)^2 + (y + 5)^2 = 4^2

Step-by-step explanation:

equation of a circle: (x - h)^2 + (y - k)^2 = r^2

(h,k) is the center and r is the radius

the center of this circle is (-3, -5) and the radius is 4

plug the numbers in

(x + 3)^2 + (y + 5)^2 = 4^2

hope this is good, havent done this unit in a while

Answer:

m<HFG = 31

Step-by-step explanation:

We can say that m<EFH + m<HFG = m<EFG because of angle addition postulate. Now, we can substitute the values of the angles in.

21 + x + 31 = 2x + 52

x + 52 = 2x + 52

x = 0

Now, we substitute x into the expression of m<HFG:

m<HFG = x + 31

m<HFG = 0 + 31

m<HFG = 31

Value of g(-2) = -8

hope it helps you.....

Answer:

-12

Step-by-step explanation:

-4(-2)^2 -3(-2) -2

-4(4) +6 -2

-16 +6 -2

-12

2^3 x 2^5

8 x 32

256

2^3 x 2^5 = 256

Answer:

4 3/4 hours per week

Step-by-step explanation:

Step-by-step explanation:

since the radii are all congruent, you can just draw a new one and call it KP. KP = 5 because all radii are congruent. By doing this, point P is now a tangent.

Answer:

2, 4.5 and 8

Step-by-step explanation:

(1)

The mode is the number which occurs most often , then

mode = 2

(2)

The median is the middle value of the numbers arranged in ascending order. If there is no exact middle value then it is the average of the numbers either side of the middle.

1,  2,  2,  3,  4,  5,  6,  7,  8,  9

                     ↑ middle

median = [tex]\frac{4+5}{2}[/tex] = [tex]\frac{9}{2}[/tex] = 4.5

(3)

The range is the difference between the largest and smallest values

range = 9 - 1 = 8

Answer:

If your numbers are 1,2,2,3,4,5,6,7,8,9

Step-by-step explanation:

1.Mode is the data in the value which occurs most frequently.

The mode of your number is 2 cause its frequency is 2 times and its known as bimodal.

2.Median is the middle value when the data is arranged in order of size.

The median of your number is

1,2,2,3,4,5,6,7,8,9

4+5=9

2

=4.5 So,the median is 4.5

3.Range is the difference between the highest value and the smallest value of a given data.

Your range is

Range=9-1=8

I THINK IT MIGHT HELP YOU!!!

Answer:

10

Step-by-step explanation:

First, we know that the angles of a triangle add up to 180 degrees. We can then sum up our angles as 90 (since it's a right triangle, represented by the square in the bottom left angle) +27+6x+3=180

90+27+6x+3=180

Add up left side

120+6x=180

Subtract 120 from both sides

6x=60

Divide both sides by 6

x=10

Answer:

The answer is "Options A, B, and E represent mutually exclusive events".

Step-by-step explanation:

Two occurrences that can happen immediately called mutually incompatible. Let's now glance at our options and figure out where the statements are mutually incompatible events.

In Option A: You could see that landing on an unwanted portion and arriving on 2 are events that are locally incompatible, even as undesirable portion contains 3 and 4, and 2 were shaded.

In Option B: Arriving on a shaded part and falling on 3 are also mutually incompatible because there are 3 on a windows azure.

In Option C: A darkened portion and an increasing amount can land while 2 would be an even number as well as on the shaded portion. That number is very much the same.

In Option D: At the same time as 4 is greater than 3 and it is situated upon an undistressed section, landing and attracting a number larger than 3 can happen.

In Option E: Landing on a shaded part and landing on even a shaded part is an excluding event, since shaders may either be shaded or unlit.

Answer:

first, second and fifth

Step-by-step explanation:

edge 2021

Answer:

angle MPN = 79°

angle MPQ = 101°

Answer:

ok so we know 7/8 of them are rock songs and of those songs 5/8 are solos so if we multiple this we get 35/64

Answer:

Here, let width of the rectangle be x cm then length becomes xcm+5cm(length of the rectangle is 5cm longer than width)

Now, we know

Perimeter(p)=2(length+width)

40= 2(x+5+x)

40=2(2x+ 5)

40/2=2x+5

20=2x+5

20–5=2x

15/2=x

x=7.5

Now,

length=x+5=7.5+5=12.5cm

width=x=7.5cm

Therefore length is 12.5cm and width is 7.5cm.

Answer:

x = - 2

Step-by-step explanation:

- 8 = - 2x - 12

- 8 + 12 = - 2x - 12 + 12

- 2x = 4

- 2x ÷ - 2 = 4 ÷ - 2

x = - 2

Answer:

35/12

tan Q = 12/35

so cotan Q = 35/12

Answer: Cosine

This is because cosine involves the adjacent over hypotenuse

cos(angle) = adjacent/hypotenuse

Answer:

22/33and 14/21

1/3

mark as brainiest please