10.
Which is the graph of the exponential function y = 9(3)x?

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:

I think it -2 then -7

Answer:

x+2

Step-by-step explanation:

Answer:

The answer is x+2

Step-by-step explanation:

Answer:

1.u<_9

2.q<13

3.r<_9

4.t>32

Answer:

$1955.33 left in her account

Step-by-step explanation:

2300+425.33-20-550=2155.33-200=

Answer:

how can i help you and when to help u and where to help you because i don't have much time say me fast what help do you need

-y/3+x/5=1

y=3x/5-3

have a great day

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

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

Answer:

Let speed of slower car be xkm/h

Therefore rate of other car=x+20 km/h

After 4 hrs ,

Distance covered by Car A=4x

Distance covered by Car B=4x+80

4x+4x+80=760km

8x=680

x=45

The rate of the slower car=45km/h

Answer:

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

Answer:

61 80/101

Step-by-step explanation:

Divide 6241 and 101 which equals 61 R80

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:

https://brainly.com/question/22978861

Answer:

its A

Step-by-step explanation: edge2022

Answer:

x and y are coordinates and m is slope

Answer:

question 9

92/11 or 8.36

Step-by-step explanation:

angle on straight line is 180

:. 10x+1 + 12x-5 = 180

collect like terms

10x+12x = 180+5-1

22x = 184

divide both sides by the coefficient of x

22x/22 = 180/22

:. x = 180/22(to d lowest form= 92/11)

or 8.36

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

first integer=x

second integer=x+1

third integer= x+2 (x + 1 + 1)

x + (x + 1) + (x + 2) = 36

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

     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

Answer:

4, 8, 12, 16, 20, 24, 28, 32, 36, 40, 44, 48, 52, 56, 60, 64, 68, 72, 76, 80, 84, 88, 92, 96, 100, 104, 108...

Step-by-step explanation:

Numbers go on forever. So there is an infinite amount of numbers that are evenly divisible by 4.

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.

Answer:

Step-by-step explanation:

Given:

Find h:

Step-by-step explanation:

We know that

Area of triangle = ½ × b × h

39 = ½ × 8 × h

39 = 4h

39/4 = h

9.75 = h

Answer: 1

Step-by-step explanation:

Only one

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

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:

Answer:

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