What is function?write one example

Answer:

25

Step-by-step explanation:

let his age be x, then

5 years ago his age was x - 5 and in 5 years will be x + 5 , thus

(x - 5)(x + 5) = 600 ← expand factors using FOIL

x² - 25 = 600 ( add 25 to both sides )

x² = 625 ( take the square root of both sides )

x = [tex]\sqrt{625}[/tex] = 25

Answer:

[tex]\boxed{Age \ of \ man = 25 \ years}[/tex]

Step-by-step explanation:

Let the age be x

Then, the given condition is:

(x-5)(x+5) = 600     [ x-5 for age 5 years ago and x+5 for age 5 years after ]

Using Formula [tex](a+b)(a-b) = a^2-b^2[/tex]

[tex]x^2-25 = 600[/tex]

Adding 25 to both sides

[tex]x^2 = 600+25[/tex]

[tex]x^2 = 625[/tex]

Taking sqrt on both sides

[tex]x = 25[/tex] years

Answer:

30 degrees

Step-by-step explanation:

25 cm in length, radius 3.5cm

Answer:

2/21.

Step-by-step explanation:

[tex]\frac{2}{7}[/tex] ÷ 3 = (2 / 7) * (1 / 3) = (2 * 1) / (7 * 3) = 2 / 21 = 0.0952380952.

Hope this helps!

Write 3 as 3/1

Now you have 2/7 / 3/1.

When you divide by a fraction change the divide to multiply and flip the second fraction over

Now you have 2/7 x 1/3 now multiply top by top and bottom by bottom to get

2/21

Answer:

one ticket is $1.20

Step-by-step explanation:

6 / 5 = 1.2, then check it by multiplying 1.2 x 5. Its easier than you think. Im positive im correct. All you have to do is one but if u want to make sure you can do all of them

Answer:

$1.20

Step-by-step explanation:

If you divide the price of a ticket bundle by the amount of tickets, you get the individual ticket price.

5 tickets for $6.

6/5 = 1.2

10 tickets for $12.

12/10 = 1.2

15 tickets for $18

18/15 = 1.2

Answer:

400

Step-by-step explanation:

There are 400.

Assuming the number must be at least 10,000, then:

In a 5 digit palindrome, the first and last digits must be the same, and the second and fourth digits must be the same; and:

For the first and last digit there is a choice of 4 digits {2, 4, 6, 8};

For each of these there is a choice of 10 digits {0, 1, ..., 9} for the second and fourth digits;

For each of the above choices these is a choice of 10 digits {0, 1, ..., 9} for the third digit;

Making 4 x 10 x 10 = 400 possible even 5 digit palindromes.

Answer:

(C)[tex]x^2+4x-2-(-x^2+2x-4)=2x^2+2x+2[/tex]

Step-by-step explanation:

The expression represented by the upper tiles is: [tex]x^2+4x-2[/tex]

The expression represented by the lower tiles is: [tex]x^2-2x+4[/tex]

Adding the two

[tex]x^2+4x-2+(x^2-2x+4)=2x^2+2x+2[/tex]

Writing it as a difference, we have:

[tex]x^2+4x-2-(-x^2+2x-4)=2x^2+2x+2[/tex]

The correct option is C.

Answer:

yeah, what newton said :]

Answer: x=-10

Step-by-step explanation:

5*(12+x)=10

Distribute

60+5x=10

Subtract(60)

5x=-50

x=-10

Hope it helps <3

Answer:

Heeyyy hope it helps

Step-by-step explanation:

Ok, so the product is the answer to a multiplication problem.

The product of 5 and the sum of a number(X) and 3 is

5(X + 3) = 12

5X + 15 = 12

5X = 12 - 15

5X = -3

X = -3/5

Answer and Step-by-step explanation:

a. As the friend claim is wrong as he flipped the coin very less i.e 10 only which reflects the number of time he flipped the coins. And we know that the probability is based on an imagination that could have a long series with respect to indefinite trails i.e unlimited

b. Since your friend flipped very less i.e only 10 which is not sufficient to get the nearest estimate your friend should flipped many times so that he would able to come very close.

Answer:

d. The cost of natural gas (y) = $0.83 per unit

Step-by-step explanation:

The explanation is shown below:-

the equation of system is:

750x + 17y = 141.61  (i)        

300x + 30y =75.90 (ii)

as x indicates the cost of electricity and y indicates the costs of natural gas.

we will solve the both equation with the help of multiplication for (i) by 30 and for (ii) 75

[tex]30\times (750x + 17y) 30\times 141.61\\\\[/tex]

after solve the above equation we will get

22,500x + 510y = 4248.3 (iii)

[tex]75\times (330x + 30y) = 75\times 75.90[/tex]

after solve the above equation we will get

22500x + 2250y = 5692.5 (iv)

After deducting the equation (iii) and (iv) we will get

1740 y = 1444.2

After Dividing by 15 both sides,

116y = 96.28

So, Katrina simplify the above system using linear equation and reach at the equation that is

116 y = 96.28

By Division property of equality defines that divide the equal no. of both sides of an equation:

by  Division of 116 to both sides of an equation, to get y:

[tex]\frac{116y}{116} = \frac{96.28}{116}[/tex]

y = 0.83

So, the natural gas is $0.83 per unit

Answer:

d

Step-by-step explanation:

do you know where is India

becz I am an Indian

Answer:

2,49/4,10/9

Step-by-step explanation:

[tex]1.\sqrt{4} =2\\2.\sqrt{x} =3+\frac{1}{2} =\frac{7}{2} \\x=\frac{49}{4} \\3.\sqrt{x} =3+\frac{1}{3} =\frac{10}{3} \\x=\frac{100}{9}[/tex]

Answer:

The answer is

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the line we must first find the slope

That's

Slope of the line using points

(8,-8) and (-5,-8) is

[tex]m = \frac{ - 8 + 8}{ - 5 - 8} = \frac{0}{ - 13} = 0[/tex]

So the equation of the line using point (8,-8) is

y + 8 = 0(x - 8)

y + 8 = 0

We have the final answer as

Hope this helps you

Answer:

  1.999396

Step-by-step explanation:

2 = (√2)² = 1.414² = 1.999396

Answer:

The value of x is 35

Step-by-step explanation:

In order to calculate the value of x in the  following parallelogram:  2x - 10  

2x + 50, we would have to calculate the following formula:

m<QPS+m<PQR=180°

According to the given data we have the following:

m<QPS=2x - 10  

m<PQR=2x + 50

Therefore, 2x - 10+2x + 50=180

4x+40=180

x=140/4

x=35

Answer:

SAT vs. IQ because the data points are closer to the trend line.

Step-by-step explanation: The accuracy of linear model is based on the sum of the squared error between the actual and predicted data. Therefore in drawing our trend line, we want one in which gives the least sum of squared error(distance between trend line and the actual data point). With such a trend line, we'll get a more accurate prediction from our model. The rate of change does not rely dictate accuracy of a model, it only explains how a variable changes in relation to another. From both graphs, the data point on the SAT v IQ graph AR closer to the trend lines and as such will produce a lower sum of squared error than the GPA v IQ model.

Answer:

a

Step-by-step explanation:

Answer:

6510ml

Step-by-step explanation:

1cl = 10ml

651cl = ?

651 × 10 = 6510ml

Answer is 6510ml

Answer:

190.684

Step-by-step explanation:

To find the square root of 36360, we place a bar over the numbers that we want to find their square root in pairs

    ,    1       [tex]\dot{3}[/tex] [tex]\overline{63}[/tex]  [tex]\overline{60}[/tex]

       , 1       1

2,       9      2  [tex]\overline{63}[/tex]

         9      261  

38,      0            2 60

          0            0

         .    

380,    6            26000

        ,  6           22800

3806,  8          320000

         ,  8          304480

38068, 4       1552000

           ,4

Which gives 190.684

3             63 60

We select the divisor to be the largest number which when squares will be equal to the largest number on the left which is 1

We have 1 * 1 = 1

We subtract it from the 3 to get 2

We add the 1's to get 2

We bring down the next pair which is 63 to form the next dividend, 263

We look for a number which will multiply itself to get 263, which is 9, we then have 29 × 9 = 261

We continue till we arrive at the vertical paired numbers which is 190.684.

I'll be using the following properties about exponents:

[tex]a^b \times a^c=a^{b+c}[/tex]

[tex]a^b \div a^c=a^{b-c}[/tex]

[tex](a^b)^c=a^{bc}[/tex]

where a, b, and c are some positive integers

Part a:

[tex]8^5 \times 8^4 = 8^{5+4}=8^9[/tex]

Part b:

[tex]3^{11} \times 3 = 3^{11} \times 3^{1} = 3^{11+1} = 3^{12}[/tex]

Part c:

[tex]9^3 \times 9^7 = 9^{3+7}=9^{10}[/tex]

Part d:

[tex]7^7 \div 7 = 7^7 \div 7^1 = 7^{7-1}=7^6[/tex]

Part e:

[tex]12^{10} \div 12^5 = 12^{10-5}=12^5[/tex]

Part f:

[tex](6^3)^6 = 6^{6 \times 3} = 6^{18}[/tex]

These should be all the answers. Let me know if you need any clarifications, thanks!

Answer:

Step-by-step explanation:

By Pythagoras theorem,

[tex] {db}^{2} = {ad}^{2} + {ab}^{2} [/tex]

[tex] {db}^{2} = {(4)}^{2} + {(9)}^{2} [/tex]

[tex] {db}^{2} = 16 + 81[/tex]

[tex] {db}^{2} = 97[/tex]

[tex] {db}^{2} = \sqrt{97} [/tex]

[tex] {db}^{2} = 9.8 \: cm[/tex]

Hence, the length of diagonal of a given rectangle is 9.8 cm

Hope this helps...

Good luck on your assignment...

Answer:

Hello There!

`~~~~~~~~~~~~~~~~~~~~~`

9.85cm

Step-by-step explanation: You can use the Pythagoras' formula to solve for the length of the diagonal:

[tex]a = 9cm \\b = 4cm\\\\d^2 = a^2 + b^2\\\\d^2 = 9^2 + 4^2\\\\d^2 = 81 + 16 = 97\\\\d= \sqrt{97} = 9.85cm[/tex]  

So the answer would be 9.85cm. Hope this helped you. Brainliest would be nice!

the answer would end up rounding to 31. :)

Answer:

See below.

Step-by-step explanation:

Here, we have two (presumably) parallel lines cut by a transversal. The two expressions corresponds to alternate interior angles. Alternate interior angles are always equivalent when two parallel lines are cut by a transversal. In other words, the two expressions are equal to each other. Therefore:

EQUATION:

[tex]-8x+8=-6x+20[/tex]

Now, solve for x to find the value of x:

[tex]-8x+8=-6x+20\\-2x+8=20\\-2x=12\\x=-6[/tex]

So, the value of x is -6.

To find the angle measures, simply plug -6 as x back into the expressions:

[tex]-8(-6)+8=48+8=56\\-6(-6)+20=36+20=56[/tex]

Thus, each of the angle measures 56 degrees. As expected, they are equivalent.

Answer:

see below

Step-by-step explanation:

We need to write it on vertex form (f(x) = a(x - c)² + d where (c, d) is the vertex) and to do that we will complete the square.

f(x) = x² + 3x - 2

= (x² + 3x + 9/4) - 9/4 - 2

= (x + 1.5)² - 4.25

The vertex is (-1.5, -4.25).

Hi king,

Let's split it into two prisms.

[tex]V_{1}=5cm*10cm*3cm\\V_{1} =150cm^{3}[/tex]

[tex]V_{2}=5cm*10cm*(9cm-5cm)\\V_{2}=5cm*10cm*4cm\\V_{2} =200cm^{3}[/tex]

The prism in the picture:

[tex]V_{final}=150cm^{3} +200cm^{3} \\V_{final}=350cm^{3}[/tex]

Have a good day.

Answer:

exact form: n=378/13

decimal form: n=29.0769....

mixed number form: n=[tex]29\frac{1}{13}[/tex]

Step-by-step explanation:

Answer:

n = 21

Step-by-step explanation:

[tex]\frac{n}{2}-\frac{3n}{9}+\frac{5n}{9}=21\\\\\frac{9n}{18}-\frac{6n}{18}+\frac{10n}{18}=21\\\\\frac{3n}{18}+\frac{10n}{18}=21\\\\\frac{13n}{18}=21\\\\13n=273\\\\n=21[/tex]

Steps:

1. Write as fractions

2. Make the fractions have the same denominator

3. Collect like terms

4. Collect like terms

5. Multiply both sides by 18

6. Divide both sides by 13.

Answer:

A

Step-by-step explanation:

Answer:

Misty is the more consistent employee

Step-by-step explanation:

The given data are

Misty: 11, 13, 12, 14, 10, 16, 14

Brock: 8, 15, 10, 11, 16, 10, 9

The mean of Misty's successfully answered questions = ∑x/n = 90/7 = 12.86

Misty's data standard deviation = √(∑(x - μ)²/n) = 1.884

The mean of Brock's successfully answered questions = ∑x/n = 79/7 = 11.29

Brock's data  standard deviation = √(∑(x - μ)²/n) = 2.81

Therefore, based on the value of the standard deviation which is a measure of variability, whereby the standard deviation of Brock's number of successfully answered questions is larger than the standard deviation of Misty's number of tech supported successfully answered questions, Misty is the more consistent employee.

Answer:

the answer is B

Step-by-step explanation:

In terms of symbols, we would write [tex]x > 0[/tex]

The natural log function, or any log function, is not defined for x = 0 or any negative x value.

Consider the form [tex]\log_b(y) = x[/tex] which is equivalent to [tex]y = b^x[/tex] and notice how the y value slowly approaches zero but never actually gets there. That is one way to see why the inputs of any log function must be larger than 0.

Answer:

The function has two real roots and crosses the x-axis in two places.

The solutions of the given function are

x = (-0.4495, 4.4495)

Step-by-step explanation:

The given quadratic equation is

[tex]G(x) = -x^2 + 4x + 2[/tex]

A quadratic equation has always 2 solutions (roots) but the nature of solutions might be different depending upon the equation.

Recall that the general form of a quadratic equation is given by

[tex]a^2 + bx + c[/tex]

Comparing the general form with the given quadratic equation, we get

[tex]a = -1 \\\\b = 4\\\\c = 2[/tex]

The nature of the solutions can be found using

If [tex]b^2- 4ac = 0[/tex] then we get two real and equal solutions

If [tex]b^2- 4ac > 0[/tex] then we get two real and different solutions

If [tex]b^2- 4ac < 0[/tex] then we get two imaginary solutions

For the given case,

[tex]b^2- 4ac \\\\(4)^2- 4(-1)(2) \\\\16 - (-8) \\\\16 + 8 \\\\24 \\\\[/tex]

Since 24 > 0

we got two real and different solutions which means that the function crosses the x-axis at two different places.

Therefore, the correct option is the last one.

The function has two real roots and crosses the x-axis in two places.

The solutions (roots) of the equation may be found by using the quadratic formula

[tex]$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$[/tex]

[tex]x=\frac{-(4)\pm\sqrt{(4)^2-4(-1)(2)}}{2(-1)} \\\\x=\frac{-4\pm\sqrt{(16 - (-8)}}{-2} \\\\x=\frac{-4\pm\sqrt{(24}}{-2} \\\\x=\frac{-4\pm 4.899}{-2} \\\\x=\frac{-4 + 4.899}{-2} \: and \: x=\frac{-4 - 4.899}{-2}\\\\x= -0.4495 \: and \: x = 4.4495 \\\\[/tex]

Therefore, the solutions of the given function are

x = (-0.4495, 4.4495)

A graph of the given function is also attached where you can see that the function crosses the x-axis at these two points.

Answer: B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

5 < 10x – 3

Step-by-step explanation:

The inequality is 5 - 2x < 8x - 3.

5 < 6x – 3 is incorrect because 8x + 2x = 10x, not 6x.

3x < 8x – 3 is incorrect because 5 - 2x is not 3x, you can't subtract those terms as they are not like terms.

5 < 10x – 3 is correct because 8x + 2x = 10x.

2 – 2x < 8x is incorrect because 5 + 3 = 8, not 2.

Answer:

C on edg

Step-by-step explanation:

Answer:

x=1

x=-2

Step-by-step explanation:

(3x-3)(x+2)

x=1

x=-2