Three consecutive odd integers have a sum of 27. Find the integers.

Answer:

Verify x+y+z)=(x+y)+z for the following values of x,y,z

(i)x=3/4,y=5/6,z=-7/8(

ii)x=2/; 3,y=-5/6,z=-7/9(

iii)x=3/5,y=-6/9,z=2/10(

iv)x=; - 3/5, y = - 7/10, z = - 8/15 To Verify x+(y+z)=(x+y)+z (i)x=3/4,y=5/6,z=-7/8 LHS = 3/4 + (5/6 + (-7/8)) = (3/4) + (5/6 -7/8)= (3/4) + ((20-21)/24) = 3/4 - 1/24 =(18-1)/24 = 17/24

RHS = (3/4 + 5/6) + (-7/8)= (9 + 10)/12 - 7/8 = 19/12-7/8 = (38-21)/24 = 17/24

LHS = RHS = 17/24 (ii) * x = 2/3, y = - 5/6, z = - 7/9 LHS = 2/3 + (-5/6+ (-7/9) = 2/3 + (-5/6 - 7/9) = 2/3 + (-29/18) = 2/3 - 29/18

= 12/18 - 29/18 = -17/18

RHS = (2/3 + (-5/6))+(-7/9) = (2/3 - 5/6) - 7/9 = (-1/6) - 7/9 = -1/6 - 7/9 = -3/18 - 14/18 =

-17/18

LHS = RHS....

Hence verified..

Step-by-step explanation:

hope it helps u no notebook

.???

Answer:

f(x) = [tex]\sqrt{x+5}[/tex] : All real numbers greater than/equal to 5

Explanation: you can't square root negative numbers, and any number less than 5 would give us negative.

f(x) = [tex]\frac{7}{x-8}[/tex] : All real numbers except 8

Explanation: You can't divide by 0, and if we included 8 in the number set, we would get this: [tex]\frac{7}{8-8} =\frac{7}{0}[/tex] (this is impossible).

f(x) = [tex]\sqrt{2}[/tex] : All positive real numbers and 0

Explanation: Again, you can't square root negative numbers.

f(x) = 8x : All real numbers

Not much to explain for this one, any real number makes this equation true.

Answer:

it's a transitive statement.

Similar to "If a is equal to b and b is equal to c, then a is equal to c."

a = b and b = c, then a = c

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

72/4=18 18-3=15 15/5=3

If 3 added to five times a number, and the result is multiplied by 4, the number that satisfies the given conditions is x = 3.

Let's break down the problem step by step to find the number.

First, we start with a variable to represent the unknown number. Let's call it "x".

The problem states that "3 added to five times a number," which can be expressed as 5x + 3.

Next, it says that "the result is multiplied by 4," so we can write the equation as 4(5x + 3).

Finally, the problem states that "the final result is 72," so we set the equation equal to 72:

4(5x + 3) = 72

To solve for x, we simplify the equation:

20x + 12 = 72

Next, we subtract 12 from both sides:

20x = 60

Finally, we divide both sides by 20:

x = 3

To learn more about numbers click on,

https://brainly.com/question/17387622

#SPJ2

[tex]\displaystyle\ \boxed{a^m\cdot a^n=a^{m+n}}\\\\4^{3c} \cdot 4^{5c}=\frac{4}{16} \\\\4^{3c+5c}=4^{-1}\\\\8c=-1\\\\c=-\frac{1}8}[/tex]

Step-by-step explanation:

We know that the sum of angle around a point is 180° . Therefore let the first angle be x then second will be x + 3 .

According to the Question ,

> x + x + 3 = 360°

> 2x = 357=

> x = 357°/2

> x = 178.5°

Step-by-step explanation:

Step 1: The factors of -60 that add up to -11 are -15 and 4.

Step 2:

[tex]( 6{x}^{2} - 15x)( 4x - 10)[/tex]

Step 3:

[tex]3x(2x - 5) + 2(2x - 5)[/tex]

[tex](3x + 2)(2x - 5) [/tex]

Answer:

9

Step-by-step explanation:

First you would need to subtract all the irrelevant students.

So, subtract 4 from 36, which is 34.

34 - (10 + 15) =

34 - 25 =

9

The answer is 9 pupils.

Answer:

A. ^3√5 is the answer.

Step-by-step explanation:

5^( 1 / 3 ) = ^3√5

Answer:

10

Step-by-step explanation:

6 + h + 8 = 24

h + 6 + 8 = 24

h + 14 = 24

h = 24 - 14

h = 10

Answer:

b . is the answer

Step-by-step explanation:

ha ahhgahga

The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero then the value of b is 40.

The polynomials f(x) = x^2 + bx + 400 have -20 as its only zero

Then x=-20

The zeros of a polynomial p(x) are all the x-values that make the polynomial equal to zero.

x=-20 is the zero of the given polynomial

Therefore it satisfies the given polynomial

[tex]f(-20)=(-20)^2+b(-20)+400[/tex]

[tex]0=400-20b+400\\800-20b=0\\-20b=-800\\b=\frac{-800}{-20} \\b=40[/tex]

Therefore the value of b is 40.

To learn more about the zeros of the polynomials visit:

https://brainly.com/question/12461081

Answer:

I wanna say its B. Vera's only

Answer:

Step-by-step explanation:

Answer:

(0,6) and (3,1)

Step-by-step explanation:

The equation is already in slope intercept form.

y = mx + b

Since the y-intercept is '6', the first point would be (0, 6).

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

We can move three units to the right and 5 units down to get our second point, (3,1).

Note that slope is rise over run.

(0 + 3, 6 - 5) - > (3, 1).

The points would be (0,6) and (3,1). After plotting, you would draw a continuous line through them.

Hope this helps.

Answer:

30 if that is an [tex]x^{2}[/tex] in g(x)

Step-by-step explanation:

f(2) = 2x + 1

      = 2(2) + 1

      = 4 + 1

f(2) = 5      

g(5) = [tex]x^{2}[/tex] + 5

      = [tex]5^{2}[/tex] + 5

      = 25 + 5

g(5) = 30

Answer: 30

Step-by-step explanation:

First find f(2)

f(2) = 2(2) + 1 = 4 + 1 = 5

Therefore g(f(2)) = g(5)

Now solve for g(5)

g(5) = (5)² + 5 = 25 + 5 = 30

Answer:

2.5 years

Step-by-step explanation:

The given amount invested, which is the principal, P = $16,800

The simple interest rate, R = 5% per annum

The intended total value of the investment, A = $18,900

The simple interest on the principal, I = A - P

∴ I = $18,900 - $16,800 = $2,100

The formula for the simple interest, I, is given as follows;

[tex]I = \dfrac{P \times R \times T}{100}[/tex]

Therefore, we have;

[tex]T = \dfrac{I \times 100}{P \times R}[/tex]

Plugging in the values, gives;

[tex]T = \dfrac{2,100 \times 100}{16,800 \times 5} =2.5[/tex]

The time it will take the investment to grow to $18,900 is T = 2.5 years

Answer:

90°

Step-by-step explanation:

m∠x+m∠y+m∠z=180°

m∠x+m∠y+90=180

m∠x+m∠y=180-90=90°

The price of phone is stated, taking the price of the phone as p and the discount on sale as 20%

Answer:

0.848p

Step-by-step explanation:

Price of phone = p

Sales tax = 6%

Discount on sale = 20%

With a 20% discount, the discounted price of the phone will be :

100%p - 20%p = 80%p = 0.8p

The sales tax will increase the price thus ;

0.8p + 6% of 0.8p

0.8p + 0.06 * 0.8p

0.8p + 0.048p

The cost of the phone including tax becomes ; (0.8p + 0.048p) = 0.848p

Answer:

70 degrees

Step-by-step explanation:

Supplementary angles are angles that have a sum of 180. So if 110 is one angle, 70 must be the other to total 180:

110+ x = 180

x = 70

Answer:

70°

Step-by-step explanation:

Answer:

It takes 1/8 of an hour for the student to bike to school.

Step-by-step explanation:

We want to find 1/6 of 3/4, as that is how long it takes her to ride to school. When taking one fraction of another, we can multiply them. We can apply this to get

1/6 * 3/4 = 3/24 = 1/8.  This means that it takes 1/8 of an hour for the student to bike to school.

Answer:

(b) 30.25 feet

Step-by-step explanation:

Given

[tex]v = \sqrt{64h[/tex]

Required

Find [tex]h[/tex] when [tex]v = 44[/tex]

Substitute [tex]v = 44[/tex] in [tex]v = \sqrt{64h[/tex]

[tex]44 = \sqrt{64h[/tex]

Take square of both sides

[tex]44^2 = 64h[/tex]

[tex]1936 = 64h[/tex]

Divide both sides by 64

[tex]30.25 = h[/tex]

Rewrite as:

[tex]h = 30.25[/tex]

Answer:

the discount of the earbuds is $8.60

the final price is $34.40

Step-by-step explanation:

1. find 20% of 43:

43 x 0.2 = 8.60

2. subtract that from $43:

$43 - 8.60 = $34.40

the discount of the earbuds is $8.60

the final price is $34.40

Answer:

Step-by-step explanation:

Set the equation and solve for x:

Correct choice is B

Respuesta:

5250

Explicación paso a paso:

Dado que :

Importe del préstamo, principal, p = 35000

Tasa de interés, r = 3% = 0.03

Tiempo, t = 5 años

Usando la fórmula de interés simple:

Interés = principal * tasa * tiempo

Interés = 35000 * 0.03 * 5

Intereses = 5250 pesos

Answer:

Step-by-step explanation:

This is an even function (because it has an exponent that is an even number), and even functions have the end behavior of both tails going in the same direction. Because this is a positive even function, both of the tails are going up.

Answer:

Step-by-step explanation:

Thinking of this in terms of words, we are looking to solve the equation:

"The price Andre paid for the car is 65% of the original $7200 price" which in algebra-speak is

p = .65(7200) where p is the price Andre paid (our unknown), the word "is" indicates an equals sign, .65 is 65% as a decimal, the word "of" indicates multiplication, and the original price is...well, the original price.

Solving for p:

p = $4680

Answer:

a³-9a

a³-9a

=a(a+3)(a-3)