I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best. Please do it quick, please do all :D

The intervals of the domain over which the function is continuous is - option (C) (-infinity, infinity).

A function is said to be continuous on an interval when the function is defined at every point on that interval and undergoes no interruptions, jumps, or breaks. If some function f(x) satisfies these criteria from x=a to x=b, for example, we say that f(x) is continuous on the interval [a, b]. The brackets mean that the interval is closed -- that it includes the endpoints a and b. In other words, that the interval is defined as a ≤ x ≤ b. An open interval (a, b), on the other hand, would not include endpoints a and b, and would be defined as a < x < b.

we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

So the  the intervals of the domain over which the function is continuous is (-infinity, infinity) .

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Answer: a. they are alternate exterior angles.

b. Since they are the same measure, 14x + 2 = 9 + 13x. Let us solve.

14x + 2 = 9 + 13x

14x + 2 = 13x + 9

14x = 13x + 9 - 2

14x = 13x + 7

14x = 7 + 13x

14x - 13x = 7

x = 7

To check let us substitute. 14 * 7 + 2 = 9 + 13 * 7

100 = 100

So, we are correct.

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Answer:

- 1

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

[tex]\frac{f(b)-f(a)}{b-a}[/tex]

Here [ a, b ] = [ - 5, 6 ] , then

f(b) = f(6) = 6² - 2(6) - 5 = 36 - 12 - 5 = 19

f(a) = f(- 5) = (- 5)² - 2(- 5) - 5 = 25 + 10 - 5 = 30

Then

average rate of change = [tex]\frac{19-30}{6-(-5)}[/tex] = [tex]\frac{-11}{6+5}[/tex] = [tex]\frac{-11}{11}[/tex] = - 1

Answer:

Step-by-step explanation:

The discount is 486.

The discount will be:

= 3240 - 2754

= 486

Answer:

one real solutions

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a) 2x + 4 (x - 1) = 2 + 4x

 2x +4x - 4 = 2 + 4x

 6x -4 = 2 + 4x

 2x = 6

   x = 3  One solution

(b) 25 - x = 15 - (3x + 10)

 25 - x = 15 - 3x - 10

2x = 15 - 25 - 10

2x = -20

 x = -10  One solution

(c) 4x = 2x + 2x + 5 (x - x)

 4x = 4x + 5x - 5x

  0 = 0

No solutions

Answer:

They are similar

Step-by-step explanation:

If a triangle has the same two angle as another one it means that they are similar triangles. this is because all triangles have 180 degrees shared between all of the angles in them. that is the case for these triangles.

hope this helps!

The members of a book club spend $0.4 for each Bagel as refreshment.

Let x represent the cost of each bagel.

At a meeting, they bought 6 bagels and spent $9.00 on beverages, hence:

Cost = 6x + 9

At another meeting, they bought 8 bagels and spent $8.20 on beverages, hence:

Cost = 8x + 8.20

Since the same money is spent on each meeting, hence:

6x + 9 = 8x + 8.2

2x = 0.8

x = $0.4

Therefore the cost of each bagel is $0.4

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Answer:

[tex]y=\frac{1}{2} x+4[/tex]

Step-by-step explanation:

so the last option

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Answer:

  -30%

Step-by-step explanation:

The percentage change in length is given by ...

  percent change = ((new length) -(original length))/(original length) × 100%

  = (51.29 -73.3)/73.3 × 100%

  = -22.01/73.3 × 100% = -0.30027 × 100%

  = -30%

The decrease in the length of the spring was 30%.

Answer:

30

Step-by-step explanation:

because divide

Answer:

kk

Step-by-step explanation:

Step-by-step explanation:

Where's the picture?

Add this first

Answer:

wait we're is the picture?

Answer:

3/8

Step-by-step explanation:

Answer:

[tex]\boxed{\sf Slope:3/8}[/tex]

Step-by-step explanation:

To determine the slope of a line given the coordinates of two points on the line, use the slope formula.

[tex]\boxed{\sf \sf{Slope\;(m)}=\frac{y_2-y_1}{x_2-x_1}}[/tex]

x1 and y1 are the coordinates of the first point. The second point's coordinates are x2, y2.

Points: [tex]\sf (-6, 4) \:and \:(2, 7)[/tex]

[tex]\longmapsto\sf \left(x_1,\:y_1\right):\left(-6,\:4\right)[/tex]

[tex]\longmapsto\sf \left(x_2,\:y_2\right)=\left(2,\:7\right)[/tex]

_______________

[tex]\leadsto\sf m=\cfrac{7-4}{2-\left(-6\right)}[/tex]

[tex]\leadsto\sf m=\cfrac{3}{8}[/tex]

_________________________________________

Answer:  33 gallons

Step-by-step explanation:

The water tank is a cube, with one dimension of x meters. Its volume will be x^3.

X^3 = 729m^3

x = 9 meters.  The cube has 4 side walls and a top and bottom, for a total of 6 interior walls.  Each wall has an area of x^2, or 81 m^2.

(6 walls)*(81 ft^2) = 486 m^2

One gallon of paint will cover 15 m^2.  The conversion factor is (1 gallon/15 m^2)

(486 m^2)*(1 gallon/15 m^2) = 32.4 gallons, rounded up to 33 gallons

2(x +2 )

This is the number

Answer:1 tablespoon of dish soap to 2 tablespoons of vinegar

Step-by-step explanation:

Answer:

1 tablespoon of dat soap to 2 table spoons of dat vinegar.

Step-by-step explanation:

So imagine. If 3 tablespoons of dish soap is to 6 table spoons of vinegar then 3 goes into 6  twice. So, 1 tablespoon of dish soap  is it 2 table spoons of vinegar.

another way to look at it:

1tbs dish soap = 2tbs vinegar

2tbs dish soap  = 4tbs vinegar

3tbs dish soap = 6tbs vinegar

A kite is a quadrilateral which has two equal adjacent sides. Therefore measuring the lengths accurately would make the pieces of wood perpendicular. Since the diagonals of a kite are at right angle to each other.

Quadrilaterals are shapes which has four straight sides. Examples are; square, trapezium, kite, rectangle etc.

A kite is a shape which has adjacent sides to have equal lengths. It has two diagonals, and one line of symmetry.

The lengths of the sides of the fabric being exact imply that the pieces of wood would be perpendicular as suggested by Priya when fixed appropriately to the piece of fabric. This is because the diagonals of a kite are always perpendicular. Thus measuring the angles as suggested by Han is not necessary.

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The 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.

Since Priya said to Han that  "If we were careful about the lengths of the sides of the fabric, we don't need to measure the angle. It has to be a right angle."

Priya used the properties of a kite.

Since from the properties of a kite, two pairs of sides are equal. Also, since thes two pairs of sides are equal, the diagonals from the vertices of the kite intersect at right-angles.

So, as Priya said to Han, the angle made by the 2 pieces of wood have to be right angles if the sides are measured correctly, since the diagonals intersect at right angles.

So, the 2 pieces of wood intersect at right angles if the length of sides of the fabric are measured correctly.

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Answer:

Translation 2 units up and 4 units to the left.

Since she was slower than Patti but faster than Phan, the compound inequality that models her time t is:

[tex]7.1 < t < 7.7[/tex]

[tex]a < x < b[/tex]

In this problem:

Then, the inequality is:

[tex]7.1 < t < 7.7[/tex]

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Step-by-step explanation:

I=PTR/100

cross multiply to get 100I= PTR

Put 100I/PR and PTR/PR

HENCE u get 100I/PR=T

THIS is because the PR cancelled from PRT to remain with T

Let 'x' be the distance from THE far bank   where 700 is the distance to the NEAR bank

boat one has travelled 700    (rate = 700/unit time)         boat two has travelled   x    rate = x / unit time

boat one then travels   x  + 400  more      and boat two travels   700 + (700+x -400) more    when they meet

The time is the same      rate x time = distance      distance/rate = time     equate the distances divided by the respective rates

(700 + x + 400)/700     =    (  x  +  700     +  (700+x-400) )/x

1100x + x^2 = 1400x + 700000

x^2-300x -700000 = 0                         quadratic formula yields  x = 1000  

One boat travels 700   the other   1000 whe they first meet.....width of river =   700+ 1000 = 1700 m

Answer:

[tex]$-4x$[/tex]

Step-by-step explanation:

First, let us write this equation into an easier one. We have:

[tex]$-\sqrt{16x^2}=-\sqrt{4^2x^2}$[/tex]

The exponents cancel out with the square root, so we have:

[tex]-4x[/tex]

as our answer.

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Answer:

2, last

Step-by-step explanation:

1.

The divisibiliy by 9 rule is that if the sum of all digits is divisible by 9 then the number is divisible by 9.

? + 1 +2 +5 +8  = ? + 16

what number is

-greater then 16

-the closest to 16 and divisible by 9

18 so ? = 2 because 2+16 = 18

2 + 1 +2 +5 +8  = 18

18 is divisible by 2 so 21,258 is divisible by 9

2.

The factors of 60 are 1,2,3,4,5,6,10,12,15,20,30,60 because all of those numbers you can multiply by another and the answer will be 60.

1*60 = 60; 2*30 = 60; 3*20=60; 4*15= 60; 5*12= 60; 6*10=60.

The amount to be paid in rent after 2 years if the rent as of now is $3,000 will be; $3,213.675

The question allows that we choose the amount being paid as rent as of now.

Let the rent paid as of now be; $3,000

In essence; after the first year; the amount increases by 3.5% to become;

After the second year; we have;

Ultimately; the amount to be paid after 2 years will be; $3,213.675.

When given the opportunity to change rent contracts;

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Answer:

2 and 3

Step-by-step explanation:

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