How to find the rate of change

Answer

1. f - 3/4

2. 62 + h

Step-by-step explanation:

1. 1/4 of the fish are angelfish, all fish are one whole, one whole - 3/4's = 1/4

2. we dont have the value of H so we in turn have to figure out the equation and 62 + h is the only answer we can come to

The graph of a function gives the set of a ordered pair of the function

Pease find attached and included the appearance of the graph and table of values of the given function f(x) = 2·x³ - 7·x² + 2·x + 3

The given function is presented as follows;

f(x) = 2·x³ - 7·x² + 2·x + 3

Required:

To find the graph that represents the given function

Solution:

From the given function, at x = 0, we have;

f(0) = 2 × 0³ - 7×0² + 2×0 + 3 = 3

Therefore, at x = 0, f(x) = 3, and a  point on the graph is the point (0, 3)

At x = 1, f(x) = 2 × 1³ - 7×1² + 2×1 + 3 = 0 therefore, a graph point is (1, 0)

At x = 0.5, f(x) = 2 × 0.5³ - 7×0.5² + 2×0.5 + 3 = 2.5 therefore, a graph point is (0.5, 2.5)

With the above function, the following table can be obtained

[tex]\begin{array}{|c|cc|}\mathbf{x}&&\mathbf{y}\\-1&&-8\\-0.5&&0\\0&&3\\0.5&&2.5\\1&&0\\1.5&&-3\\2&&-5\\2.5&&-4.5\\3&&0\\3.5&&10\end{array}\right][/tex]

From the above table of values, the graph of the function can be drawn as shown in the attached diagram created with MS Excel

Learn more about graphing functions here:

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Answer:

its A

Step-by-step explanation: edge2022

Answer:

Step-by-step explanation:

There are  80 black squares in A. The % is 80/100 or 80%

There are 12 1/2 black squares in B. The % is 12 1/2 % black

There are 10 black squares in C   The % is 10% black

This is a really bad question. We are not told which to represent, white or black.

A: 20% white

B: 87 1/2% white

C: 90% white

I'm going to leave the second part because I don't know which way is wanted.

(0,0)

Step-by-step I took the test

Answer:

(4sin²x +9cos²x + 12sinxcosx) +(9sin²x+ 4 cos²x -12sinxcosx)

13 (sin²x + cos²x)

13*1 =

HP

Answer:

see explanation

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1

Consider left side

(2sinx + 3cosx)² + (3sinx - 2cosx)² ← expand parenthesis using FOIL

= 4sin²x + 12sinxcosx + 9cos²x + 9sin²x - 12sinxcosx + 4cos²x

Collect like terms

= 13sin²x + 13cos²x ← factor out 13 from each term

= 13(sin²x + cos²x)

= 13 × 1

= 13

= right side , thus proven

Answer:

104 = 10,000 x 1.3 = 13,000

Step-by-step explanation:

step 1

To find a, take the number and move a decimal place to the right one position.

Original Number: 13,000

New Number: 1.3000

Step 2

Now, to find b, count how many places to the right of the decimal.

New Number: 1 . 3 0 0 0

Decimal Count:   1 2 3 4

There are 4 places to the right of the decimal place.

Step 3

Building upon what we know above, we can now reconstruct the number into scientific notation.

Remember, the notation is: a x 10b

a = 1.3 (Please notice any zeroes on the end have been removed)

b = 4

Now the whole thing:

1.3 x 104

Step 4

Check your work:

104 = 10,000 x 1.3 = 13,000

Answer:

1.u<_9

2.q<13

3.r<_9

4.t>32

Hello :D

10 gallons = 40 quarts

1/3 = 3 quarts

9 quarts + 3 quarts = 12 quarts

40 - 12 = 28 quarts

They must drink 28 quarts to finish all the milk

Answer:

I'm sorry if it's worng but I think it's A

Answer:

No

Step-by-step explanation:

 A circle cannot be described by a function because it fails what is known in High School as the vertical line test. A function, by definition, has a unique output for every input.

Answer:

yes

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Only one

[tex]\frac{2}{9} =0.\overline{2}\\[/tex]

The Angles (3x - 3)° and 60° forms alternate interior Angle pair. hence,

Answer:

x = 21

Step-by-step explanation:

3x-3 = 60 (congruent angles)

3x = 60+3

x = 63/3

x = 21

i do know the answewr and it is b because the irrational product is negative 6

Answer:

In mm : 100 and in cm:10 because 100m =1m

Answer:

I think it -2 then -7

Answer:

1) [tex]\frac{x+3}{2x-5}=\frac{3}{2}[/tex]   (x ≠ 2,5)

=> 2(x + 3) = 3(2x - 5)

⇔ 2x + 6 = 6x - 15

⇔ 4x = 6 + 15

⇔ 4x = 21

⇔ x = 5,25

2) [tex]\frac{5y-2}{2y+8}=\frac{5}{6}[/tex] (y ≠ -4)

⇒6( 5y - 2) = 5(2y + 8)

⇔30y - 12 = 10y + 40

⇔ 20y = 52

⇔ y = 2,6

3) the denominator of the rational number is x (x ≠ 0)

because the denominator is greater than the numerator by 6

=> the numerator is x - 6

If the numerator is decreased by 1 and the denominator increased

by 1 , the number obtained is 1/3. so we have:

[tex]\frac{x-7}{x+1}=\frac{1}{3}[/tex]

⇒ 3(x - 7) = x + 1

⇔ 3x - 21 = x + 1

⇔ 2x = 22

⇔ x = 11

with x = 11 => the rational number is 5/11

4) the number we need to find is ab (a ≠ 0)

because Sum of the digits of this number is 8

=> a + b = 8 (*)

When we interchange  the digits , it is found that the resulting new number is less than the  original number by 18, we have:

ab - ba = 18

⇔ 10a + b - (10b + a) = 18

⇔ 9( a - b) = 18

⇔ a - b = 2 (**)

(*)(**) => a + b = 8

             a - b = 2

=> a = 5

    b = 3

=> the original number is 53

5) the present Arjun's age is x (years old)( x, y E N*)

the present Shriya's age is y

because now, Arjun is twice as old as Shriya => x = 2y

Five years ago, his age was three  times Shriya’s age, we have:

=> x - 5 = 3(y - 5)

⇔ x - 5 = 3y - 15

⇔ 3y - x = 10

but x = 2y => y = 10

=> x = 20

so now, Arjun is 20 years old, Shriya is 10 years old

Step-by-step explanation:

Answer:

[tex]60 \frac{152}{101} [/tex]

Answer:

61 80/101

Step-by-step explanation:

Divide 6241 and 101 which equals 61 R80

m=

x

2

−x

1

y

2

−y

1

m stands for the slope

y_1 = 2

y_2 = 3

x_1 = -1

x_2 = 4

\frac{3-2}{4 - (-1)} = \frac{1}{5}

4−(−1)

3−2

=

5

1

Slope: 1/5

     We will solve this problem by solving the system of equations formed by the statements given in the question.

Number of male and female officers are 200 and 140 respectively.

Statements given in the question,

Let the number of male officers in the police force = m

And the female officers in the police force = f

       "There are 60 male officers than female officers"

m = f + 60 ----- (1)

       "Ratio of male and female officers is 10 : 7"

Therefore, [tex]\frac{m}{f}=\frac{10}{7}[/tex]

[tex]m=\frac{10}{7}f[/tex] ------- (2)

   By substituting the value of 'm' from equation (2) to equation (1),

[tex]\frac{10}{7}f=f+60[/tex]

[tex]\frac{10}{7}f-f=60[/tex]

[tex]\frac{3}{7}f=60[/tex]

[tex]f=140[/tex]

   Substitute the value of 'f' in equation (1),

m = 140 + 60

m = 200

    Therefore, number of male and female officers are 200 and 140 respectively.

Learn more,

https://brainly.com/question/8260974

Risa will need 288 inches of ribbon to sew to her square blanket.

Step-by-step explanation:

a square has 4 sides so 72×4=288

Answer:

11

Step-by-step explanation:

11+8 would equal 11+8

Answer:

[tex] \frac{5}{20} = \frac{1}{4} = \frac{10}{40} \\ thank \: you[/tex]

Answer:

x and y are coordinates and m is slope

-y/3+x/5=1

y=3x/5-3

have a great day

Answer: $535

Step-by-step explanation

He will be able to buy the refrigerator with the amount he deposited ($500) plus the interest generated from it ($35)(which we get by doing the following):

So the formula for interest is

Interest = (principal ×interest rate × time for which the money was deposited) / 100

Interest = ?

Principal = $500

Interest rate = 7%

Time = 1 year

Now

Interest = (500 × 7 × 1) / 100

Interest = 3500/ 100

Interest = $35

So the refrigerater's cost = 500 + 35

Cost = $ 535

Answer: a- 1

Step-by-step explanation: