{{6- '6) '(+ '9) '(l '.) '(6 '9-) (7-'9-)}

Answer:

T = 41

Step-by-step explanation:

Rohan's weight  = t+6

Rahul's Weight  = t+6+7 = 54

t = 54 - 6 - 7

t = 41

Step-by-step explanation:

.......................

Answer:

Rs 16

Step-by-step explanation:

Amount of money paid for 16 pens = Rs 256

Amount of money paid for 1 pen =

[tex] \frac{256}{16} = \frac{128}{8} \\ = \frac{64}{4} = \frac{32}{2} \\ = \frac{16}{1} \\ [/tex]

Therefore, amount paid for one pen is Rs 16

Answer:

Infinite

Step-by-step explanation:

Answer:

x ≠ 5

Step-by-step explanation:

Assuming you mean f(x) = (1/(2x-10))+3

Please be careful with how ambigiuous your question can appear with the / sign.

The domain is the set of values that can be used as an input.

In this case the only input we have that could cause problem is if the denominator of the fraction is 0, because then we divide by 0 which is not allowed.

This gives us 2x-10 ≠ 0

2x ≠ 10

x ≠ 5

The domain of the function is given by the inequality ( 1/2 )x - 10 ≥ 0 and the value of x ≥ 20

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = [ √ ( 1/2 )x - 10 ] + 3

Now , the expression (1/2)x - 10 inside the square root must be greater than or equal to 0, as the square root of a negative number is not defined in the real number system.

(1/2)x - 10 ≥ 0

To solve this inequality, we can isolate x:

(1/2)x ≥ 10

x ≥ 20

Hence , the domain of the function f(x) is x ≥ 20.

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The complete question is attached below :

If f(x)= 1/2x-10+3, which inequality can be used to find the domain of f(x)?

Answer:

100 i think

Step-by-step explanation:

Answer:

inequality 1 has a solution of 5

Step-by-step explanation:

Answer:

57.5

Step-by-step explanation:

Recognize our numbers

3,5,34.50

Three uniform shirts sell for 34.50

34.50/3

=11.5

How much will five cost?

5x11.5

=57.5

Hope this helps!

Answer:

55.25

Step-by-step explanation:

1. First we need to work out the price of ONE shirt. To do that we divide the total price of 3 shirts by 3.

34.50 / 3 = 11.05

2. Now we know that the price of one shirt is $11.05p we can multiply that by 5 to get the price of 5 shirts.

11.05 * 5 = 55.25

= $55.25p

the answer is 659 because if x = 5 that means 25x25 = 625

and if y = 2 then 625 + 52 = 677

and then 677-18 = 659

Problem solved

Answer:

4,400=m•5,000 and 88%

Answer:

(1,1)

x=1  y=1

Step-by-step explanation:

When you solve by substitution, you have to isolate each equation Hope this helps.

Answer:

Step-by-step explanation:

Remark

The diagonal is found by using the Pythagorean Theorem: a^2 + b^2 = c^2. This only works for certain figures. The rectangle is one of them.

Givens

a = 10

b = 8

c = ?   This is the length of the diagonal.

Solution

a^2 + b^2 = c^2

10^2 + 8^  = c^2

100 + 64 = c^2

c^2 = 164

√c^2 = √164

c = 12.806

Answer:

17. x=25

18. x=72

19. x=151

20. x=28

Step-by-step explanation:

Answer:

b. 36 years

Step-by-step explanation:

Today

Nirmala = x years

Rahul = 3x years

In 13 years

Nirmala = 3x + 13 years

Rahul = 2(x+13) - 1

3x + 13 = 2(x+13) - 1

3x + 13 = 2x + 26 - 1

3x + 13 = 2x + 25

3x - 2x = 25 - 13

x = 12

Nirmala = x years

= 12 years

Rahul = 3x years

= 3(12)

= 36 years

The age of Rahul today is 36 years

Answer:

[tex]a=\dfrac{1}{5}[/tex] and b = 1

Step-by-step explanation:

Given that,

[tex]\dfrac{1}{5}+\sqrt7=a+b\sqrt7[/tex]

We need to find the value of a and b.

We should compare both sides of the above equation i.e.

[tex]a=\dfrac{1}{5}[/tex]

and

b = 1

Hence, the values of a and b are 1/5 and 1 respectively.

Answer:

A) Gradient = -3

B) 3y - x = 7

Step-by-step explanation:

The curve has the equation;

y = x³ - 6x² + 9x + 1

We are given the pints it passes through as;

A(2,3) and P(3, 1)

A) to find the gradient, we will find the derivative of the given equation.

Thus;

Gradient = y' = 3x² - 12x + 9

At point A, x = 2. Thus;

Gradient = 3(2²) - 12(2) + 9

Gradient = 12 - 24 + 9

Gradient = -3

B) since the gradient of the tangent = -3, it means the gradient of the normal will be; -1/-3 = 1/3

Thus, equation of the normal to the curve at point A will be;

(y - 3) = ⅓(x - 2)

Multiply both sides by 3 to get;

3y - 9 = x - 2

3y - x = 9 - 2

3y - x = 7

Answer:

18 quarts

Step-by-step explanation:

Step-by-step explanation:

1. What is asked in the problem?

How much did she have at first?

2. What are the given facts?

- Grace spent P184.35 for a box of chocolates and  handkerchiefs

- She gave her sister P125.00.

- The money she had left was  P127.75

3. What is the operation to be used?

Addition

5. What is the solution?​

Initial amount = Money spent on Choc and handkerchiefs + Money she gave her sister + Amount left

Initial Amount =  P184.35 + P125.00 + P127.75

Initial Amount = P437.1

Answer:

75% = 0.75

Step-by-step explanation:

75% ÷ 100 = 0.75

Answer:

.75

Step-by-step explanation:

75.% you move the the point 2 spaces to the front and get .75

Answer:

it's A because all of those numbers are less than 14

Step-by-step explanation:

Answer:

1jdjsbsjsnsisn Shane Jana aus she sue euw

Answer:

Number of walnut trees: 4n+15

Answer:

C) (8, 11)

Step-by-step explanation:

8+3=11.

One axis is used for kilograms, the other for pounds. When the x-axis is kilograms, the line includes points (1, 2.2), (2, 4.4), and (3, 6.6). The graph is a straight line that passes through the origin. The line is straight because unit conversions are proportional.

Answer:

[tex]P(x=3) = 0.1318[/tex]

Step-by-step explanation:

The question illustrates a binomial distribution and the given parameters are:

Given

[tex]n = 6[/tex] -- sample size

[tex]p = 0.75[/tex] --- probability of success

[tex]r = 3[/tex] --- half of the participant

Using the binomial probability formula, we have:

[tex]P_x = ^nC_xp^x(1-p)^{n-x}[/tex]

For x = 3, the probability is:

[tex]P(x=3) = ^6C_3*0.75^3 * (1-0.75)^{6-3}[/tex]

[tex]P(x=3) = 20*0.75^3 * 0.25^3[/tex]

[tex]P(x=3) = 0.1318[/tex]

Answer:

Step-by-step explanation:

Logₐa = 1

Answer:

positive that is 1

Step-by-step explanation:

While the value of a logarithm itself can be positive or negative, the base of the log function and the argument of the log function are a different story.

The argument of a log function can only take positive base arguments. In other words, the only numbers you can plug into a log function are positive base numbers as it is always 1.

Answer:

-5x^6 - 2x^5 + 4x^2 + 3x + 3

Step-by-step explanation:

Combine like terms from each of the polynomials.

(8x^2 + 5x + 3) + (-5x^6 - 2x^5 - 4x^2 - 2x)

(8x^2 - 4x^2) + (5x - 2x) + (3) + (-5x^6) + (-2x^5)

(4x^2) + (3x) + (3) + (-5x^6) + (-2x^5)

Then, order them by degree.

-5x^6 -2x^5 + 4x^2 + 3x + 3

Answer:

6.75 ft^2

Step-by-step explanation:

The area of the seat can be calculated as follows

a + b/2 × h

6+3/2 × 1.5

9/2 × 1.5

4.5× 1.5

= 6.75 ft^2

Hence the area of the seat is 6.75ft^2

Step-by-step explanation:

Answer:25.1

Step-by-step explanation:

Answer:

5x-2x

Step-by-step explanation:

4x-x = 3x

so,

5x-2x = 3x

The equivalent expression would be; 5x-2x

Those expressions who might look different but their simplified forms are same expressions are called equivalent expressions.

To derive equivalent expressions of some expression, we can either make it look more complex or simple. Usually, we simplify it.

We are given that the expression as; 4x - x

We need to find an equivalent expression.

Therefore, solving further;

4x-x = 3x

Thus, we can also create one expression as;

5x-2x = 3x

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Answer:

-x

Step-by-step explanation:

rearrange the terms by adding or subtracting the same thing from both sides:

[tex]x+y=5\\y = 5 - x\\y - 5 = -x[/tex]