Which ordered pairs should be included in the table so that the relation remains a function?

Answer:

a) (f + g)(x) = x² - 2x + 3x - 4 = x² + x - 4

domain: x E R

b) (f - h)(x) = x² - 2x - ( - 2x + 1) = x² - 1

domain: x E R

c) (f.g)(x) = (x² - 2x)(3x - 4) = 3x³ - 10x² + 8x

domain: x E R

d)

[tex]( \frac{h}{f} )(x) = \frac{ - 2x + 1}{x {}^{2} - 2x} [/tex]

domain: x E R\{0; 2}

Answer:

$3,155

Step-by-step explanation:

First, convert R as a percent to r as a decimal

r = R/100

r = 3.85/100

r = 0.0385 rate per year,

Then solve the equation for A

The formula is given as:

A = Pe^rt

Where

P = Principal = $10,200

r = interest rate = 0.0385

t = Time in years = 7

A = Amount paid after t years

A = 10,200.00 × e^(0.0385×7)

A = $13,354.96

A = P + I where

P (principal) = $10,200.00

I = $13,354.96 - $10,200

I (interest) = $3,154.96

Therefore, the amount of money Karen paid after 7 years in interest to the nearest whole number is $3,155

Answer:

Step-by-step explanation:

The total of all angles in the triangle is 180

You already know 2 values for the triangle, Angle A 25 as well as Angle C 90

Your formula is

180 - 90 -25

Answer:

yes because since they are new they are all going to have a different opinion on the school than other teachers thats been there for years

hope this helps

have a good day :)

Step-by-step explanation:

Yes, it would likely be biased because they might be like an advertisement since they weren't teaching for years at this school.

If this helps, please mark me brainliest!

Have an amazing day!

Answer:

5x=t

x=t/5

This should be your answer

We have,

= -6(3x - 2/3)

= -6(3x × 3 - 2)/3

= -6(9x - 2)/3

= -2(9x - 2)

= (-18x + 4)

Your answer will be option number 4.

Answer:

- 18x + 4

Step-by-step explanation:

[tex]-6(3x-\frac{2}{3})[/tex]

- 18x + 4

The probability that the arrow will land on 1 or 2 is 2/5.

Probability is the ratio of occurring a certain event out of the total possible events.

If the given statement contains OR we use addition and if the given statement contains AND we use multiplication.

From the given data

Total no. of regions in the circle is 5

The probability that the arrow will land on 1 or 2 is

P(1) = 1/5

P(2) = 1/5

∴ P(1) or P(2) is

= 1/5 + 1/5

= 2/5

Here we have used addition because of OR statement.

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Answer:

The opposite of -6 is positive 6

Answer:

-6

Step-by-step explanation:

The opposite of the opposite of a number is the number itself

Answer:

A

Step-by-step explanation:

The third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.

"A graph can be defined as a pictorial representation or a diagram that represents data or values in an organized manner. The points on the graph often represent the relationship between two or more things".

For the given situation,

The graph is plotted between the production of pair of cleats to the marginal cost.

The first pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$7[/tex].

The second pair of cleats shows the marginal cost is from [tex]\$2[/tex] to [tex]\$1[/tex].

The third pair of cleats shows the marginal cost is [tex]\$1[/tex].

The fourth pair of cleats shows the marginal cost is from [tex]\$4[/tex] to [tex]\$6[/tex].

Hence from the given data, the third pair of cleats shows the marginal cost is [tex]\$1[/tex]. Thus option (C) is the correct answer.

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Answer:

$2,699.72

Step-by-step explanation:

Given that

The deposited amount is $2,000

The annual rate of interest is 6%

And, the time period is 5 years

We need to find out the amount that would be in the account in the case when it is compounded daily

So,

The following formula should be used

= Deposited amount × e^(rate, time period)

= $2,000 × e^(0.06,5)

= $2,000 × e^0.3

= $2,699.72

Answer:

1) We can use the following property to simplify the product of powers as follows:

[tex]a^{m}\cdot a^{n} = a^{m + n}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{Z}[/tex] (1)

Therefore, we have the following result:

[tex]10^{12}\cdot 10^{0} = 10^{12+0} = 10^{12}[/tex]

A) [tex]10^{12}[/tex] must be multiplied either by [tex]10^{0}[/tex] or by [tex]1[/tex] to get the same answer.

Step-by-step explanation:

1) We can use the following property to simplify the product of powers as follows:

[tex]a^{m}\cdot a^{n} = a^{m + n}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{Z}[/tex] (1)

Therefore, we have the following result:

[tex]10^{12}\cdot 10^{0} = 10^{12+0} = 10^{12}[/tex]

A) In addition, we can use this property:

[tex]\frac{a^{m}}{a^{n}} = a^{m-n}[/tex], [tex]a\in \mathbb{R}[/tex], [tex]m,n\in \mathbb{Z}[/tex]

We can apply the property mentioned above:

[tex]10^{12}\cdot 10^{0} = 10^{12}\cdot (10^{n-n}) = 10^{12}\cdot \left(\frac{10^{n}}{10^{n}} \right) = 10^{12} \cdot 1 = 10^{12}[/tex]

In consequence, we conclude that [tex]10^{0} = 1[/tex]. [tex]10^{12}[/tex] must be multiplied either by [tex]10^{0}[/tex] or by [tex]1[/tex] to get the same answer.

Answer:

X=23

Step-by-step explanation:

Answer:

420cm^3 (cubed) = volume when tripled

Step-by-step explanation:

1. when you multiply 7*4*5=140 (volume of the prism originally)

2. 140*3=420 (final answer)

Answer:

A. 140 cm

B. 3780 cm

Step-by-step explanation:

The volume formula for a rectangular prism is lwh, and 7 times 4 times 5 equals 140.

If you triple all those amounts, then you get 21 (7 times 3), 12 (4 times 3), and 15 (5 times 3), and when you multiply those you get 3780.

I hope this helps :)

Answer:

tan β = [tex]\frac{7}{24}[/tex]

Step-by-step explanation:

Using the identities

sin x = [tex]\frac{1}{cscx}[/tex] , cos x = [tex]\frac{1}{secx}[/tex] , tan x = [tex]\frac{sinx}{cosx}[/tex] , then

sinβ = [tex]\frac{1}{\frac{25}{7} }[/tex] = [tex]\frac{7}{25}[/tex]

cos β = [tex]\frac{1}{\frac{25}{24} }[/tex] = [tex]\frac{24}{25}[/tex]

Then

tan β = [tex]\frac{\frac{7}{25} }{\frac{24}{25} }[/tex] = [tex]\frac{7}{25}[/tex] × [tex]\frac{25}{24}[/tex] = [tex]\frac{7}{24}[/tex]

Answer:

tanβ = 7/24

Step-by-step explanation:

Given:

cscβ = 25/7

secβ = 25/24

tanβ = ?

Recall:

cscβ = 1/sinβ

secβ = 1/cosβ

tanβ = sinβ/cosβ

Rewrite and simplify:

tanβ = sinβ/cosβ

tanβ = (1/cscβ)/(1/secβ)

tanβ = (1/(25/7))/(1/(25/24))

tanβ = (7/25)/(24/25)

tanβ = (7/25)(25/24)

tanβ = (7*25)/(25*24)

tanβ = 175/600

tanβ = 35/120

tanβ = 7/24

Answer:

[tex]-\frac{3p^8}{4q^3}[/tex]

Step-by-step explanation:

[tex]\frac{15p^{-4}q^{-6}}{-20p^{-12}q^{-3}}[/tex]  can be broken down into three fractions, coefficients, powers of p, powers of q.

[tex]-\frac{15}{20}\cdot\frac{p^{-4}}{p^{-12}}\cdot\frac{q^{-6}}{q^{-3}}[/tex]

Simplify the first fraction, then simplify the others by subtracting numerator exponents minus denominator exponents.

[tex]-\frac{3}{4} p^{-4-(-12)} q^{-6-(-3)} =-\frac{3}{4} p^8 q^{-3} = \alpha -\frac{3p^8}{4q^3}[/tex]

The volume of the sphere is 7241.143.

Volume is the amount of three-dimensional space occupied by an object, substance, or closed surface.

Formula of volume of sphere =   [tex]\frac{4}{3} \pi r^3[/tex]

Given

Radius of sphere = 12cm

volume of sphere =   [tex]\frac{4}{3} \pi r^3[/tex]  =   [tex]\frac{4}{3}\ \frac{22}{7}[/tex]  12×12×12

                                           =  [tex]\frac{152064}{21}[/tex]

                                           =   7241.143

Hence, The volume of the sphere is 7241.143.

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Answer:

The answer would be B because the y intercept is how much he changes per hour

Answer:

Your answer should be C

Step-by-step explanation:

Letter A was tempting, but 120 for 1 hour. Then 180 for 2.5 means that is had a y intercept. So it couldn't be A. The other ones were easy to rule out because they only told a fraction of what was shown.

Answer:

[tex]x=0.5, \\\\x=-4[/tex]

Step-by-step explanation:

Factoring is the process by which one rewrites an equation or number out as the product of many numbers or expressions. In the given situation, one is asked to factor the following equation,

[tex]2x^2 +7x - 4=0[/tex]

In factored form,

[tex](2x-1)(x+4)=0[/tex]

Use the zero product property, this states that any number times zero equals zero. Therefore, set each factor equal to zero and solve for the parameter (x),

[tex]2x-1=0[/tex]

Inverse operations,

[tex]2x=1\\x=0.5[/tex]

[tex]x+4=0[/tex]

Inverse operations,

[tex]x=-4[/tex]

[tex]\huge\boxed{Answer\hookleftarrow}[/tex]

[tex]x =\frac{1}{2},-4[/tex]

[tex]\huge\boxed{Explanation\hookleftarrow}[/tex]

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Step-by-step explanation:

p< 6b is for p less than 6 times b.

Answer:

6b > p

Step-by-step explanation:

The question is not clear, just in case you are asking the equation.

Answer:

f(3)= 12

Step-by-step explanation:

if f(1)= 4 then f(3)= 12

The width of the rectangular pen is equal to 14 feet.

Given the following data:

To calculate the width of the rectangular pen:

Mathematically, the perimeter of a rectangle is given by the formula;

[tex]P=2(L+W)[/tex]

Where:

Substituting the parameters into the formula, we have;

[tex]78=2(25+W)\\\\78=50+2W\\\\2W=78-50\\\\2W=28\\\\W=\frac{28}{2}[/tex]

Width, W = 14 feet.

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Answer:

Hello! answer: x = 1

Step-by-step explanation:

This triangle will add up to 180 degrees 85 + 64 = 149 180 - 149 = 31 4 × 1 = 4 4 + 27 = 31 therefore x = 1 Hope that helps!

The question is incomplete. Please see the complete question below

The candy shop made 3 1/18 pounds of chocolate they sold 1 1/4pounds how many pounds of chocolate do they have left

Answer:

15/8

Step-by-step explanation:

The shop made 3 1/8 pound of chocolate

They sold 1 1/4 of chocolates

Hence the number of chocolates left can be calculated as follows

3 1/8-1 1/4

= 25/8-5/4

= 15/8

Answer:

its 40 milmeters

Step-by-step explanation:

Answer:

24.05

Step-by-step explanation:

v² = u² + 2gs

(25)² =(12)² +2(10)s

625=144+20s

625-144=20s

481=20s

481/20=s

24.05=s

s=24.05

Answer:

Hello! Hope you having a great morning! Your answer is, B)

Hope this helped! Brainiest plz! Hope you make a 100% and have a nice day!

Answer:

the answer is A

Step-by-step explanation:

i just took the quiz

Answer:

Cos <B = 3/5

Step-by-step explanation:

Find the diagram attached

From the diagram, we have;

Hypotenuse BC = 80

Opposite to <B = AC =64

Adjacent AB = 48

According to SOH CAH TOA identity

Cos theta = adjacent/hypotenuse

Cos<B = AB/BC

Cos <B = 48/80

Express in its simplest form

Cos <B = (16*3)/(16*5)

Cos <B = 3/5

Hence the ratio of cos<B in its simplest form is 3/5