Write the domain and range of the function f(x)=3x+5

hope it is help full

Step-by-step explanation:

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Answer

1

[tex](a + b)^{2} = {a}^{2} + 2ab + {b}^{2} [/tex]

Therefore

Answer:

1

Step-by-step explanation:

SEE IMAGE FOR Solution ...

Answer:

x= 3 and x= -3

Step-by-step explanation:

x^2 -9 = 0

Factor x^2-9

(x+3)(x-3)

If x+3=0, then x= -3

If x-3=0, then x= 3

Answer:

<4=<2

x+30=2x+15

x=15

therefore <4=(15)+30

=45°

Answer:

1)1,0395x10^9

2)its already in scientific notation?

If you write it in standard notation, which is actually just regular notations it's 400.

Step-by-step explanation:

Scientific notation can be used to represent very large or small numbers. A number written in scientific notation will have one non-zero digit to the left of the decimal point, multiplied by a power of  10 , with the power corresponding to the amount of places the decimal should move.

Answer:

x^(1/2)

Step-by-step explanation:

For this, we need to understand exponent rules.  This one is like this, "A power to a power, you multiply the exponents".  This is simply, because this expression would be equivalent to 3 base terms:

(x^(1/6))^3 = (x^(1/6)) * (x^(1/6)) * (x^(1/6))

And when you perform this multiplication "Powers of like bases, you add the exponents", you will get the following

(x^(1/6)) * (x^(1/6)) * (x^(1/6)) = x^(1/6 + 1/6 + 1/6) = x^(3/6) = x^(1/2)

Hence, this expression simplifies to x^(1/2).

Cheers.

Answer:

Option D is the correct option.

Step-by-step explanation:

[tex] \mathrm{ ({x}^{ \frac{1}{6} } ) ^{3} }[/tex]

[tex] \mathrm{simplify \: the \: expression \: by \: multiplying \: exponents}[/tex]

[tex] \mathrm{ = {(x)}^{ \frac{1}{6} \times 3 } }[/tex]

[tex] \mathrm{ = {x}^{ \frac{1}{2} } }[/tex]

Hope I helped!

Best regards!

Answer:

20100

Step-by-step explanation:

To find the sum of:

[tex]1 + 2 + 3+ 4+ ...... +200[/tex]

As per the trick of Gauss, let us divide the above terms in two halves.

[tex]1+2+3+4+\ldots+100[/tex] and

[tex]101+102+103+104+\ldots+200[/tex]

Let us re rewrite the above terms by reversing the second sequence of terms.

[tex]1+2+3+4+\ldots+100[/tex]  (it has 100 terms) and

[tex]200+199+198+197+\ldots+101[/tex] (It also has 100 terms)

Adding the corresponding terms (it will also contain 100 terms):

1 + 200 = 201

2 + 199 = 201

3 + 198 = 201

:

:

100 + 101 = 201

The number of terms in each sequence are 100.

So, we have to add 201 for 100 times to get the required sum.

Required sum = 201 + 201 + 201 + 201 + . . . + 201  (100 times)

Required sum = 100 [tex]\times[/tex] 201 = 20100

Answer:

20 miles

Step-by-step explanation:

She ran 20miles, at the same point she passed her friend

Answer:

(a) Candy's initial sum as a terms of x is $6x

(b) x = $60

(c) $350

Step-by-step explanation:

The given parameters are;

The ratio in which Aliyah, Brenda and Candy share the sum of money = 3:5:6

The amount Candy later gives Aliyah = $100

The amount Candy later gives Brenda = $50

The new ratio of the sum of the shared money between Aliyah, Brenda and Candy = 2:3:3

(a) Whereby Aliyah has $3x at the start, we have;

Total sum of mony = Y

Amount of Aliyah's initial share = Y × 3/(3 + 5 + 6) = Y×3/14

Therefore, Y×3/14 = $3x

x = Y×3/14 ÷ 3 = Y/14

Amount of Candy's initial share = Y × 6/14

Therefore Candy's initial sum as a terms of x = $6x

(b) Given that Aliyah's and Candy's initial sum as a function of x are   $3x and $6x, therefore, in the ratio 3:5:6, Brenda's  initial sum as a function of x = $5x

Which gives;

Total amount of money = $14x

With

6x - 150, 3x + 100, and 5x + 50, the ratio =is 2:3:3

Therefore, we have;

14·x × 2/(2 + 3 + 3) = (6·x - 150)

14·x × 2/(8) = (6·x - 150)

14·x × 1/4 = (6·x - 150)

7·x/2 = (6·x - 150)

12·x - 300 = 7·x

12·x - 7·x = 300

5·x = 300

x = $60

(b) The final amount of money with Brenda = 5x + 50 = 5 × 60 + 50 = $350

The final amount of money with Brenda = $350.

Answer:

sorry I don't understand can somebody help him??

Answer:

Step-by-step explanation:

the odds of choosing a ginger ale is 1/21

Answer:

A = 62.35 cm²

Step-by-step explanation:

Use the area formula A = [tex]\frac{\sqrt{3}a^2}{4}[/tex], where a is the side length.

Plug in the values:

A = [tex]\frac{\sqrt{3}(12^2)}{4}[/tex]

A = [tex]\frac{\sqrt{3}(144)}{4}[/tex]

A = 62.35 cm²

Answer:

The House

Step-by-step explanation:

Answer:

Step-by-step explanation:

a:b = 3:2    ⇒   a = 3x  and  b = 2x

a - b = 5

3x - 2x = 5

x = 5

a = 3•5 = 15

b = 2•5 = 10

Answer:

4/7

Step-by-step explanation:

hope this helps

Answer:

About 13 weeks

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

[tex]3m - 12 > 30 \text{ and } -6m\geq 24[/tex]

[tex]\boxed{3m - 12 > 30 \wedge -6m\geq 24}[/tex]

[tex]m>14 \wedge m\leq -4[/tex]

There's no solution. It is the first one already. There is no number that is both greater than 14 and less than or equal to -4. That is no solution because there's no [tex]m[/tex] that satisfy the compound inequality.

Note: the signal change because we divided by negative number.

Answer:

3m - 12 > 30 and -6m >= 24

Step-by-step explanation:

A. 3m - 12 > 30 and -6m >= 24

3m > 42  and m < = -4

m > 14 and m < = -4

This has no solution

B. -6m >= 12 and m + 5 -18

cannot solve since missing inequality

C. -5m < 20 and 6m > -18

m > -4   and m > -3

solution m > -3

D. -4m - 10 <= -22 and 6m - 8 >= 22

-4m < = -12  and 6m > = 30

m > = 3   and m > =5

m > = 5

Answer:

7/4

Step-by-step explanation:

To find the reciprocal of 4/7, flip the fraction.

The numerator goes in the denominator and the denominator goes in the numerator

7/4

Answer:

7/4

Step-by-step explanation:

Keep it, change it, flip it.

Answer:

third option

Step-by-step explanation:

Given

f(x) = [tex]\frac{5x+5}{x^2+x-2}[/tex]

The denominator cannot be zero as this would make f(x) undefined.

Equating the denominator to zero and solving gives the values that x cannot be and if the numerator is non zero for these values then they are vertical asymptotes.

solve x² + x - 2 = 0 ← in standard form

(x + 2)(x - 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 1 = 0 ⇒ x = 1

The vertical asymptotes are x = 1 and x = - 2

Answer:

x = 8 and -4

Step-by-step explanation:

3x² - 12x = 96

3(x² - 4x +  4 = 32 + 4)

3[(x - 2)² = 6²]

x - 2 = +/- 6

x = 8

x = -4

f(x)=2x^3-x^2+5 / x-1

f(3)=2(3)^3-3^2+5 / 3-1

f(3)=54-9+5 / 2

f(3)=50 / 2

f(3)=25

Answer:

1/2 is the fractional part of cookie which was eaten by Dan.

Step-by-step explanation:

Dan has 2 1/2 cookies and ate 1/2, so we can just subtract the 2 1/2-1/2

which cancels out the 1/2, which is the fractional part.

He has 2 cookies left.

The fractional part that he ate will be 5/4.

The analysis of mathematical representations is algebra, and the handling of those symbols is logic.

A fraction number is a number that represents the part of the whole, where the whole can be any number. It is in the form of numerator and denominator.

Dan had 2 1/2 cookies and ate 1/2 of a cookie.

Of the original number of cookies.

Then the mixed fraction is converted into fraction.

2 1/2 = 5/2

The fractional part that he ate will be

⇒ (5/2) / 2

⇒ (5/2) x (1/2)

⇒ 5/4

The fractional part that he ate will be 5/4.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Answer:

  3.75 years

Step-by-step explanation:

If the debt is to be paid in 3 years, 9 months, then the term of the loan is ...

  3 9/12 = 3 3/4 = 3.75 . . . years

Answer:

C. $128

Step-by-step explanation:

320 x 0.5 = 160

320 - 160 = 160

160 x 0.20 = 32

160 - 32 = 128

Answer:

(–81, 9), (–36, 6), (–1, 1) are the correct three points.

Step-by-step explanation:

Given the function:

[tex]f(x) =\sqrt x[/tex]

Please refer to the attached image.

The green line shows the graph of actual function.

It is reflected over y axis.

The reflected graph is shown in black color in attached image.

When reflected over y axis, the sign of variable [tex]x[/tex] changes from Positive to Negative.

So, the resultant function becomes:

[tex]f(x)=\sqrt{-x}[/tex]

i.e. we will have to give the values of x as negative now.

so, the options in which value of x is negative are the possible answers only.

The possible answers are:

(–81, 9), (–36, 6), (–1, 1) and

(–49, 7), (–18, 9), (–1, 1)

Now, we will check the square root function condition.

In the 2nd option, (–18, 9) does not satisfy the condition.

So, the correct answer is:

(–81, 9), (–36, 6), (–1, 1)

Answer:

A on E2020

Step-by-step explanation:

:)

Answer:

V = 125 cu.

Step-by-step explanation:

Since volume = L x W x H -->

Plug the numbers in --> 5 x 5 x 5 (5 cubed) -->

25 x 5 = 125

Thus, the total volume of this cube is 125 cu.

Hope this helps!

Answer:

Step-by-step explanation:

Volume of a cube = l³

where l is the length of one side

From the question

there are 5 squares on each side of the cube

So l = 5 units

Volume of the cube = 5³

We have the final answer as

Hope this helps you

Answer:

72

Step-by-step explanation:

As you can see the top - view is a rectangle of 2 by 9 dimensions. Respectively the right - side view is a rectangle of 2 by 4 dimensions. The common dimension among both rectangles would be 2, making this rectangular prism have dimensions 2 by 4 by 9.

Therefore the rectangular prism will have a volume of 2 [tex]*[/tex] 4 [tex]*[/tex] 9

2 [tex]*[/tex] 4 [tex]*[/tex] 9 = 8( 9 ) = 72 cubic units

Solution : 72 unit cubes

Answer: 20%

Step-by-step explanation: $20-$16=$4. 4/20=1/5 or 20%.

Answer: Melody's percent error was 20%

Step-by-step explanation:

20-16=4

4/20=1/5

Answer:

[tex]\huge \boxed{-11}[/tex]

Step-by-step explanation:

[tex](-3)+(-8)[/tex]

[tex]\sf Factor \ negative \ sign.[/tex]

[tex]-(3+8)[/tex]

[tex]\sf Add.[/tex]

[tex]-(11)[/tex]

Step-by-step explanation:

[tex]( - 3) + ( - 8) \\ \\ remove \: unecessary \: parantheses \\ - 3 - 8 \\ = 11[/tex]

Step-by-step explanation:

Hi there!

According to the question;

The sum of two number is 59. And the Smaller number is less than the bigger one by 7,

Let the bigger number be "X" then smaller number will be x-7.

Then;

x + (x-7) = 59

2x = 59+7

X = 66/2

Therefore, the bigger number (X) is 33 and smaller number (x-7) is 26.

Hope it helps!