Let f(x)=x* + 14x and g(x) = 6 - X. Find the domain off f + g. Determine the domain of f + g. ​

Let F(x)=x* + 14x And G(x) = 6 - X. Find The Domain Off F + G. Determine The Domain Of F + G.

Answers

Answer 1

[tex]\begin{cases} f(x) = x^4+14x\\ g(x) = 6-x \end{cases}\qquad \qquad h(x) = f(x) + g(x) \\\\\\ h(x) = (x^4+14x)+(6-x)\implies h(x) = x^4+14x-x+6 \\\\[-0.35em] ~\dotfill\\\\ ~\hfill h(x) = x^4+13x+6~\hfill[/tex]

now, if we graph h(x), Check the picture below, we can see that horizontally the line keeps on moving towards the left, going going and going towards -infinity, and it also keeps on moving towards the right, going going and going towards +infinity, and since the horizontal area used by the function is the domain of it, the domain for h(x) will be (-∞ , +∞).

Let F(x)=x* + 14x And G(x) = 6 - X. Find The Domain Off F + G. Determine The Domain Of F + G.

Related Questions

classify the following number 8.4444

Answers

Answer:

rational number

Step-by-step explanation:

Natural numbers:

This is every number in the sequence 1, 2, 3, 4...

Whole numbers:

This is all of the above, but it also includes 0.

Integers:

All of the above, but this also includes negative numbers.

Rational numbers:

A rational number is any number than can be represented as a fraction of 2 integers. All of the above are also rational numbers, and below are some other examples:

[tex]1.125, \frac{1}{3}, -5\frac{2}{7}[/tex]

Irrational numbers:

Basically anything that wasn't covered above. These cannot be represented as a fraction of 2 integers.

[tex]\pi, \sqrt{3}[/tex]

=========================

You don't make it clear if this is a repeating decimal or not, but either way, this is a rational number as you can represent it as a fraction:

[tex]8.4444=\frac{21111}{2500}[/tex]

In the case that it was a repeating decimal, those are also rational numbers. Take this for example:

[tex]0.3333333...[/tex]

This is rational:

[tex]\frac{1}{3}=0.333333...[/tex]

True or false



Plz help​

Answers

[tex]0 - (-\frac{31}{43})=0+ \frac{31}{43}=\frac{31}{43}[/tex]

ANSWER : true

ok done. Thank to me :>

Answer:

True

Step-by-step explanation:

[tex]0 - ( - \frac{31}{43} ) \\ 0 + \frac{31}{43} \\ = \frac{31}{43} [/tex]

For what values of r will the area of the shaded region be greater than or equal to 12 square units? Write your answer as an inequality.

Answers

Answer:

r>=12

Step-by-step explanation:

State if the triangles in each pair are similar. If so, state how you know they are similar and complete the
similarity statement.

Answers

Answer:

the answer is in the site faith mate is the same question and in that site have the response np

Ann received a $90 gift card for a coffee store. She used it in buying some coffee that cost $8.04 per pound. After buying the coffee, she had $65.88 left on her
card. How many pounds of coffee did she buy?
pounds
5
?

Answers

Answer:

3 lbs of coffee

Step-by-step explanation:

$90.00 - $65.88 =$24.12 (spent 24.12 on the coffee)

24.12/8.04 = 3

Answer:

3 ponds of Coffee. take what she spent, and subtract it from the total. Then divide that number by the cost of 1 lb. of coffe. You get 3. 3 pounds.

The hypotenuse AB of the right triangle ABC is parallel to the axis of the abscess. Find the length of the hypotenuse if A (-1; 1) and C (3; -4)

Answers

Answer:

  10.25

Step-by-step explanation:

The slope of AC is given by the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (-4 -1)/(3 -(-1)) = -5/4

Then the slope of CB is the opposite reciprocal, 4/5. The equation of line CB in point-slope form is ...

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

  y -(-4) = 4/5(x -3) . . . . line CB

When y = 1 (to match the y-value of A), then ...

  1 +4 = 4/5(x -3)

  5(5/4) = (x -3) . . . . . multiply by 5/4

  6.25 +3 = x = 9.25 . . . . add 3

Point B is (9.25, 1).

The length of the hypotenuse is ...

  9.25 -(-1) = 10.25

plz help me to answer

Answers

Answer:

H=2  r=1

Step-by-step explanation:

P= 2h+4r + πr = π+8

h= π+8- πr -4r/2

(pls give brainliest if helps!)

how do i get the answer for this problem. 2x+2x+2=4x+2

Answers

Combine like terms

Subtract 2 from both sides of the equation

Simplify

Subtract 4 from both sides of the equation

Simplify

Then your answer should be 0=0

The figure shown is to be painted on a road sign. Which of the following best describes the two polygons that form the figure?

A. A rectangle and an isosceles trapezoid
B. A rectangle and a rhombus
C. A rectangle and a parallelogram
D. A rectangle and an isosceles triangle​

Answers

Answer:

D: A rectangle and an isosceles triangle​

Step-by-step explanation:

A recangle for the base of the arrow, and an isosceles triangle​ to form the full arrow.

The answer will be option D which is a rectangle and an isosceles triangle.

What is an isosceles triangle?

The triangle in which the two opposite sides are equal and the two opposite angles are equal is called the isosceles triangle.

As we can see in the figure there are one isosceles triangle and a rectangle are joined together to form an arrow.

Thus the answer will be option D which is a rectangle and an isosceles triangle.

To know more about the isosceles triangle follow

https://brainly.com/question/1475130

#SPJ2

Try to find the slope

Answers

Answer:

-11/14.

Step-by-step explanation:

Slope =(y2-y1)/ (x2 - x1)

Here y2 = 7 and y1 = -4, x2 = -7 and x1 = 7.

So slope

= (7 - (-4)/ -7-7)

= -11/14.

Okie 3 more questions and I’m done with math please please please

Answers

Answer:

6x - 20 = 4x + 50

2x = 70

x = 35

How do you do the work on this problem I’ve been stuck in it for a couple hours now.

Answers

56.2 m

Step-by-step explanation:

We can solve for the maximum height by calculating the derivative of y with respect to time and then equating it to zero, i.e.,

[tex]\dfrac{dy}{dt} = 0[/tex]

then solve for the time t that satisfies the equation above. The expression for the height y is

[tex]y = 60t - 16t^2[/tex]

Taking the derivative of this expression, we get

[tex]\dfrac{dy}{dt} = 60 - 32t = 0 \Rightarrow t = \dfrac{60}{32} = 1.9\:\text{s}[/tex]

This means that at t = 1.9 s, the ball would have reached its maximum height. To determine this height, use this value for t in the the equation for y to get

[tex]y = 60(1.9\:\text{s}) - 16(1.9\:\text{s})^2 = 56.2\:\text{m}[/tex]

In a cookie jar,
1
5
of the cookies are chocolate chip and
1
2
of the rest are peanut butter. What fraction of all the cookies is peanut butter?
Which tape diagram shows the cookies that are chocolate chip?

All cookies
Chocolate
chip

All cookies
Chocolate
chip

All cookies
Chocolate
chip
Excellent!
Which tape diagram shows the cookies that are peanut butter?

All cookies
Chocolate
chip
Peanut
butter

All cookies
Chocolate
chip
Peanut
butter

All cookies
Chocolate
chip
Peanut
butter
Good work!
Use the tape diagram to solve.

Answers

well, a WHOLE is 1, which we can split in many fractions, say 5/5, 10/10 or 999/999 and so on.

we know 1/5 of the jar is chocolate chip, and there's the rest, well, the Whole jar in 5ths have to be 5/5, if we take away 1/5 from 5/5, the "rest" is 5/5 - 1/5 = 4/5.

now, we also know that 1/2 of the "rest" is peanut butter, or namely that 1/2 of 4/5 is peanut butter, how much will that be?  let's divide 4/5 by 2

[tex]\cfrac{4}{5}\div 2\implies \cfrac{4}{5}\div \cfrac{2}{1}\implies \cfrac{4}{5}\cdot \cfrac{1}{2}\implies \cfrac{4}{10}\implies \cfrac{2}{5}[/tex]

What is the length of XY?

Answers

Answer:

  XY = 11.25

Step-by-step explanation:

Corresponding sides of similar triangles are proportional.

  XY/5 = 18/8

  XY = 5(9/4) = 45/4

  XY = 11.25


[tex]{ \color{darkred}{(2+√3)+(4-√3)}} = ?[/tex]
︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎︎​

Answers

[tex](2 + \sqrt{3} ) + (4 - \sqrt{3} ) \\ = 2 + \sqrt{3} + 4 - \sqrt{3} \\ = 2 + 4 \\ = 6[/tex]

Answer:

6

Hope you could get an idea from here.

Doubt clarification - use comment section.

[tex]\huge \bf༆ Answer ༄[/tex]

Here's the solution ~

[tex] \sf(2 + \sqrt{3} ) + (4 - \sqrt{3}) [/tex]

[tex] \sf2 + \cancel {\sqrt{3} } + 4 - \cancel{\sqrt{3} }[/tex]

[tex] \sf6[/tex]

In John's closet we find: 3 shirts (1 blue, 1 red, 1 black) 2 pairs of pants (1 blue, 1 black) 2 pairs of shoes (1 black, 1 blue) Create a sample space of the possible outcomes of clothes combinations that John might wear (assuming he always wears a shirt, pair of pants, and pair of shoes). What is the complement of the P(John wears something red).

Answers

Using it's concept, the sample space for the experiment is:

{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}The complement of P(John wears something red) is he wearing a Blue or Black shirt, along with any combination for the pants and the shoes.

The sample space is the set that contains all possible outcomes for an experiment.

In this problem:

For the shirt, there are three possible outcomes: Blue, Red, Black.For the pants, there are two possible outcomes: Blue, Black.For the shoes, there are two possible outcomes: Black, Blue

Hence, considering the combinations, the sample space is, considering Shirt-Pants-Shoes:

{Blue-Blue-Black, Blue-Blue-Blue, Blue-Black-Black, Blue-Black-Blue, Red-Blue-Black, Red-Blue-Blue, Red-Black-Black, Red-Black-Blue, Black-Blue-Black, Black-Blue-Blue, Black-Black-Black, Black-Black-Blue}

The complement of P(John wears something red) is all outcomes in which he does not wear anything red, hence it is a Blue or Black shirt, along with any combination for the pants and the shoes.

You can learn more about sample space at https://brainly.com/question/25861936

MSRP (Manufacturer's Suggested Retail Price) = $18.99 retailer's price = $14.99 discount = ?%

Answers

Discount=$ 4

Discount percent :21.06%

solution given:

Marked price: $18.99

selling price: $14.99

Now

discount : Marked price - selling price

:$18.99- $14.99

:$4

Now

discount percent:[tex] \frac {discount}{marked \:price} *100\percent [/tex]

=[tex]\frac {4}{18.99}*100 [/tex]%

=21.06%

Step-by-step explanation:

Hope it will help you a lot.

solve the compound inequality 2(x-2)+7>-1 and 5-4x>9

Answers

Answer:

1) x > -2

2) x < -1

Step-by-step explanation:

1) 2(x - 2) + 7 > -1

2x - 4 + 7 > -1

2x + 3 > -1

2x > -4

x > -2

2) 5 - 4x > 9

-4x > 4

x < -1

On Tuesday morning a school cafeteria served 18 gallons of orange juice during breakfast. How many cups are in 18 gallons?

A.288 cups
B.64 cups
C.2,048
D.128 cups

Answers

Answer:

A

Step-by-step explanation:

288 cups did this before

Choose the symbol that correctly compares these mixed numbers.

Answers

Answer:

It is 7 2/11 is less then 7 4/10

Step-by-step explanation:

You do not have to worry about the whole number because they are the same. You have to compare the fractions, so if comparing fractions 10 is less then 11 so 1/10 has a larger space then 1/11. That is how i got the answer. Hope this helps. Am I right?

Answer:

[tex]\huge\purple{\overline{\quad\quad\quad\quad\quad\quad\quad\quad\quad \ \ \ }}[/tex]

[tex]7 \frac{2}{11} < 7 \frac{4}{10} [/tex]

Answer: B

The price of a bicycle is $108.00 plus 7% sales tax. What is the sales tax on this bicycle in dollars and cents?

Answers

Answer:

$7.56

Step-by-step explanation:

7% = 0.07

108.00 x 7% = $7.56

Find the exact value of sin^-1(-√3/2)

Answers

Answer:

  -60°

Step-by-step explanation:

Your calculator and/or your knowledge of trig function values can find this for you.

The arcsine function has a range of -90° to +90°. Positive angles 240° and 300° will also have the sine value -√3/2.

  arcsin(-√3/2) = -60° = -π/3 radians

rewrite in simplest terms -8(-10u+6u-7)-10u

Answers

Answer:

22u + 56

Step-by-step explanation:

-8(-10u + 6u - 7) - 10u

1.) Combine like terms

-8(-10u + 6u - 7) - 10u

-8(-4u - 7) - 10u

2.) Distribute

-8(-4u - 7) - 10u

-8(-4u) -8(-7) - 10u

32u + 56 - 10u

3.) Combine like terms

32u + 56 - 10u

22u + 56

Therefore, the simplified equation is 22u + 56.

Answer:

22u+56

Step-by-step explanation:

1. simplify each term:

32u+56−10u

2. Subtract 10u from 32u.

22u+56

Hope this helps :)

Given that

P

=

x

+

y

.

Find

P

when:

x

=

3

and

y

=



11

Answers

Answer:

-8

Step-by-step explanation:

3-11=-8

Answer:

8

Step-by-step explanation:

Factor: 3x4y3 – 48y3

Answers

Answer: 4y3(1x1 - 12)

3x4y3 – 48y3

4y3(1x1 - 12)

The Hickory Stick has a selection of 3 meats and 6 vegetables. How many different selections of one meat and one vegetable are possible

Answers

The different selections of one meat and one vegetable are possible are 18 selections.

Since the Hickory Stick has a selection of 3 meats and 6 vegetables, the number of ways we can select one meat out of 3 is ³C₁ = 3.

Also, the number of ways we can select one vegetable out of 6 is ⁶C₁ = 6.

So, the total number of selections of one meat and one vegetable is ³C₁ × ⁶C₁ = 3 × 6

= 18 selections

So, the different selections of one meat and one vegetable are possible are 18 selections.

Learn more about combination here:

https://brainly.com/question/19341024

I need this soon pls

Answers

3 -4 is the answer

Its (x, y) so the x is first and the y is last

what are the first 6 numbers of pi

Answers

Step-by-step explanation:

3.141592653............


Determine whether a triangle with the given side lengths is a right triangle.

Answers

Answer:

yes yes no no

Step-by-step explanation:

use the Pythagorean theorem. sub a^2+b^2=c^2.

c is the largest number, and you can plug the 2 other values into a and b.

8 with an exponent of 2 +9(12 divided by 3 x 2)-7 simplify with steps please

Answers

[tex]\huge \bf༆ Answer ༄[/tex]

Let's solve ~

[tex] \sf {8}^{2} + 9(12 \div 3 \times 2) - 7[/tex]

[tex] \sf64 + 9(4 \times 2) - 7[/tex]

[tex] \sf64 + 9(8) - 7[/tex]

[tex] \sf64 + 72 - 7[/tex]

[tex] \sf136 - 7[/tex]

[tex] \sf129[/tex]

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