If f(x)= 3^x, prove that f(x) + f (x + 1)= 4 f (x) (3 marks)

Step-by-step explanation:

m∠RSU + m∠UST = 90° (as complementary angles)

(7x + 3)° + (11x − 21)° =90°

18x -18° = 90°

18x = 108°

x = 6

so, m∠RSU = (7x + 3)° = 7(6)+3 = 45°

and m∠UST = (11x − 21)° = 11(6) -21 = 45°

The required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

The angle can be defined as the one line inclined over another line. Also the angles are measured in radian or degrees.

The sum of the complementary angles is 90.
So,
∠RSU + ∠UST = 90
7x +3 + 11x - 21 = 90
18x - 18 = 90
18 (x - 1) = 90
x - 1 = 90 / 18
x - 1 = 5
x = 4

Required measures of the angles,|

1) m∠RSU = (7x + 3)°
m∠RSU = (7 * 4+ 3)°|

m∠RSU = 31°

2)  m∠UST = (11x − 21)°.
    m∠UST = (11 * 4 − 21)°
    m∠UST = (44 − 21)°
     m∠UST =  23°

Thus, the required measures of the angles ∠RSU and ∠UST are 31° and 23° respectively.

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Answer:

ans is 5.

hope it will help you.

Answer:

-6d -15

Step-by-step explanation:

-3(2d + 5)

Distribute

-3 *2d -3*5

-6d -15

Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]

2.)

[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5

Answer:

-14/1 or 14/-1

Step-by-step explanation:

The fraction for 14 is 14/1

to make it negative, just add a negative sign for numerator or denominator.

If my answer is incorrect, pls correct me!

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Answer:

0.72 repeat

Step-by-step explanation:

              __

8 ÷ 11 =0.72

Step-by-step explanation:

numbers

first = X

second = (x-10)

Third = 4(x-10)

x + (x-10) + 4(x-10) = 124

2x -10 + 4x-40 =124

6x - 50 = 124

6x = 124 + 50

6x = 174

x= 29

therefore the ;

first number = 29

second = (x-10) = 29-10 = 19

third= 4(x-10) = 4(29-10)= 76

Answer:

21.6cm^2

Step-by-step explanation:

area = length * breadth

= 7.2 * 3 = 21.6

Answer:

It is C

Step-by-step explanation:

PM = QM

[tex]6x - 8 = 2x + 4 \\ 6x - 2x = 4 + 8 \\ 4x = 12 \\ x = 3[/tex]

Answer:

C.) x = 3

Step-by-step explanation:

The diagonals of a rectangle are equal, and QM and PM are both half of the two diagonals. You can now say that 2 * (6x - 8) = 2 * (2x + 4), meaning that 12x - 16 = 4x + 8, where you can add 16 on both sides, then subtract by 4x on both sides to get that 8x = 24. Now divide by 8 on both sides to get that x = 3.

Answer:

84528 birds

Step-by-step explanation:

number of birds in the 2nd flock = 5283 * 5 = 26415

number of birds in the 3rd flock = 26415 * 2 = 52830

total = 5283 + 26415 + 52830 = 84528

I hope it helps you

Answer:

[tex]y = 0 \: .x = \frac{2}{3} y[/tex]

Step-by-step explanation:

[tex] \frac{2 {x}^{2} - 5 }{3xy - 2 {y}^{2} } [/tex]

[tex]3xy - 2 {y}^{2} = 0[/tex]

[tex]y \times (3x - 2y) = 0[/tex]

[tex]y = 0 = 3x - 2y = 0[/tex]

[tex]y = 0 = 3x = 2y[/tex]

[tex]y = 0[/tex]

[tex]x = \frac{2}{3} y[/tex]

[tex]y = 0. \: x = \frac{2}{3} y[/tex]

Answer:

The square root of 465 with one digit decimal accuracy is 21.5.

Step-by-step explanation:

√465 = 21.5

Answer:

Yes, the square root of 25 is a whole numbers.

Step-by-step explanation:

Yes, square root of 25 is a rational number.

Answer:

2(s + 5) = 2s + 10, not 2s - 10

2s - 10 = 2s + 10

[tex]0 \neq 20[/tex]

Answer: An equation with an integer coefficient will NOT always have an integer solution.

Explanation: 3x=25⟹x=253 , therefore it is false.

Answer:

77 : 55

Step-by-step explanation:

77 : 55

divide the ratio by 11.

7 : 5

Answer:

A. Divide both sides of the equation by 3, and then subtract 6 from both sides of the equation. The solution is x = 1.

Step-by-step explanation:

3(x + 6) = 21

Divide both sides by 3

(x + 6) = 7

Subtract 6 from each side

x = 7-6

x=1

Answer:

x=1

Step-by-step explanation:

multiply 3 with (x+6) resulting into 3x+18=21

cross-multiply and divide through by 3.

There u go

Answer:

E) 3/3

Step-by-step explanation:

12/15 ÷ X = 4/5

We need to divide the top and bottom by 3/3

12 ÷3 =4

15÷3 = 5

Answer:

15

Step-by-step explanation:

you can add the absolute value of -7 with 8 so it's 15

The length of AD on the number line is,

⇒ AD = 15

Number line is a horizontal line where numbers are marked at equal intervals one after another form smaller to greater.

We have to given that;

Number line is shown in figure.

And, The point A is at - 7 on number line.

The point D is at 8 on number line.

Hence, We get;

The length of AD on the number line is,

⇒ AD = | - 7 - 8 |

⇒ AD = | - 15 |

⇒ AD = 15

Therefore, The length of AD on the number line is,

⇒ AD = 15 units

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Answer:

50 i think not sure what kind a question this is

Answer:

21/20

Step-by-step explanation:

One way to look at it:

Convert 1.05 to a percentage so it's easier to see it as fraction out of 100

fraction x 100 = %

1.05 x 100 = 105%

105% means 105/100, and reducing the fraction gives 21/20.

21/20 = 1.05

Answer:

Step-by-step explanation:

Given,

Area of a triangle = 40

Therefore,

Side of the square

[tex] = \sqrt{40} [/tex]

= 6.3245553203

= 6.3 (estimated) (Ans)

Answer:

3.2 × 10⁻²

Step-by-step explanation:

→ First multiply the whole numbers

8 × 4 = 32

→ Now add the powers

32 × 10⁻³

→ Convert into standard form

3.2 × 10⁻²

Answer:

-5.35

Step-by-step explanation:

-20.85

+15.50

this helps with the problem

Answer:

D

Step-by-step explanation:

Answer:

i flipped the images upside down.

Step-by-step explanation:

R= 8,5

Q=8,7

R=5,9

Answer:

figure plz

Step-by-step explanation: