Write the slope-intercept inequality for the graph below. If necessary, use <=for < or >= for 2.• (0.4)(-3,0)-5

Answer:

20\(c^{6}\)

Step-by-step explanation:

using the rule of exponents

\(a^{m}\) × \(a^{n}\) = \(a^{(m+n)}\)

given

(- 4c³)(- 5c³) ← remove parenthesis

= - 4 × c³ × - 5 × c³

= - 4 × - 5 × c³ × c³

= 20 × \(c^{(3+3)}\)

= 20\(c^{6}\)

Answer:

in order u put them in, 8 top, 12 bottem, 32 top, 30 bottem

Answer:

[29 over 2 divided by 5 over 4] = 29/2 ÷ 5/4 (A)

[29 over 2 times 4 over 5] = 29/2 × 4/5 (C)

Step-by-step explanation:

The total amount of water a tank can hold is 14 and one and one-half gallons = 14½

We are to determine the number of 1/4 gallon buckets of water that can be used to fill the tank.

To find this, we would divide 14½ by 1¼ = 14½ ÷ 1¼

Convert 14½ and 1¼ to improper fraction

14½ = [(14×2)+1]/2 = 29/2

1¼ = [(1×4)+1]/4 = 5/4

14½ ÷ 1¼ =29/2 ÷ 5/4

Then we find the inverse of ¼ to convert the division to multiplication

= 29/2 × 4/5 = 116/10

= 11.6

14½ ÷ ¼ = 11.6

Therefore 11.6 gallons of ¼ buckets of water can be used to fill the tank.

But the two expressions that could be used to represent this scenario to get the answer from the options = 29/2 ÷ 5/4 (A)

[29 over 2 divided by 5 over 4]

29/2 × 4/5 (C)

[29 over 2 times 4 over 5]

Answer:

I believe it is A and C.

Answer:

B because they are the same angle

Answer:

B. m∠a = m∠b

Step-by-step explanation:

This statement is true due to the Alternate Interior Angle Theorem, which states: If ∠a = x, then ∠b = x, meaning that if a equals a certain angle measure, then the alternate interior angle, or the angle opposite a, must also be the same measure.

Answer:

  (a, b, c) = (3, 0, -1)

Step-by-step explanation:

The number 6006.6 can be written in expanded form as ...

  6006.6 = 6×10³ +6×10⁰ +6×10⁻¹

Matching this to your expression with a, b, c suggests ...

  (a, b, c) = (3, 0, -1) . . . . . in any order

Answer:

The least common multiple of 40, 36 and 32 is 1440.

Step-by-step explanation:

Greetings !

The LCM of a, b

Is the smallest positive number that is divisible by both a and b.

prime factorization of 32:

\(2.2.2.2.2\)

prime factorization of 40:

\(2.2.2.5\)

prime factorization of 36:

\(2.2.3.3\)

Compute a number comprised of factors that appear in at least one of the following

32,40,36

\( = 2.2.2.2.2.5.3.3\)

Multiply the numbers 2.2.2.2.2.5.3.3 = 1440

\( = 1440\)

Hope it helps !!!

Answer:

It would be A and C

Step-by-step explanation:

For A, you could see it as 3/4 minus 2/4, which equals 1/4

For C, again, could see it as 7/8 minus 6/8, which equals 1/8.

The rest would be wrong.

The inequality is used to find the domain of the given function is

5x-5 ≥ 0

A function is a relation from a set of inputs to a set of possible outputs, where each input is related to exactly one output.

Given is function y = √(5x-5)+1, we have to find which inequality can be used to find the domain.

Since, the function is a square root function.

We know that,

The square root function is defined only for the positive values, including 0. i.e. the expression inside the square root must be greater than or equal to 0.

The expression inside the square root is (5x-5) so that must be greater than or equal to 0 which can be written as :

5x-5 ≥ 0

Hence, the inequality is used to find the domain of the given function is 5x-5 ≥ 0

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Answer:

5 more men

Step-by-step explanation:

10 men do a job in 6 hours.

To do the job in 2 hours, 1/3 of the time, you need 3 times as many men.

30 men do a job in 2 hours.

To do the job in twice the time, 4 hours, you need half the men.

15 men do a job in 4 hours.

15 men - 10 men = 5 men

You need 5 more men.

Answer:

A+B+C=28

Step-by-step explanation:

let

A-B=2 -----1 EQUATION

B-C=7-------2

A+C=17------3

FROM 1 AND 2

A-C=9---------4

FROM 2 AND 3

A+B=24 -------5

FROM 3 AND 4

2A=26

A=13 SUBSTITUTING A=13 IN 5

WE GET B=11 SUBSTITUTING IT IN 2

WE GET C=4

NOW

A+B+C=13+11+4=28

The vertices of the reflected square.

Let's calculate them:

A' = (-0.914, 3.914)

B' = (-2.828, 5.828)

C' = (-0.086, 7.086)

D' = (1.828, 5.172)

The vertices of the image of the square ABCD after reflecting it about the line through (0, 0) and (-2, 2), we can use the following steps:

Find the equation of the reflection line:

The reflection line passes through (0, 0) and (-2, 2).

We can calculate the slope (m) of the line using the formula (y2 - y1) / (x2 - x1):

m = (2 - 0) / (-2 - 0) = 2 / -2 = -1.

Using the point-slope form of a line (y - y1) = m(x - x1), we can use either of the given points to write the equation of the line:

y - 0 = -1(x - 0)

y = -x.

Find the midpoint of each side of the square:

The midpoints of the sides of a square are also the midpoints of its diagonals.

The midpoint of AB is ((4+6)/2, (3+4)/2) = (5, 3.5).

The midpoint of BC is ((6+5)/2, (4+6)/2) = (5.5, 5).

The midpoint of CD is ((5+3)/2, (6+5)/2) = (4, 5.5).

The midpoint of DA is ((3+4)/2, (5+3)/2) = (3.5, 4).

Reflect the midpoints about the line:

To reflect a point (x, y) about the line y = -x, we can find the perpendicular distance (d) from the point to the line and use it to determine the reflected point.

The perpendicular distance d from the line y = -x to a point (x, y) is given by the formula:

d = (y + x) / √(2).

The coordinates of the reflected points can be found using the formula for reflection across a line:

x' = x - 2d / √(2)

y' = y - 2d / √(2).

Calculate the reflected vertices:

The coordinates of the reflected vertices are as follows:

A' = (4 - 2(3.5 + 5) / √(2), 3 - 2(3.5 - 5) / √(2))

B' = (6 - 2(5 + 5) / √(2), 4 - 2(5 - 5) / √(2))

C' = (5 - 2(5.5 + 5) / √(2), 6 - 2(5.5 - 5) / √(2))

D' = (3 - 2(4 + 5) / √(2), 5 - 2(4 - 5) / √(2))

Now we can plot the original square ABCD and its image A'B'C'D' on the same graph to visualize the reflection.

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Answer:

Center and Radius

Rewrite in standard form to find the center

(k,h)

and radius r

.Center:

(3,5)

Radius:

2

The required number of people waiting in the checkout line is 72 people.

The model has defined as the model of the given situation in the form of an equation using variables and constants.

Here,
As 84 shoppers per hour make a purchase and each of these shoppers spend an average of 5 minutes in the checkout line.
So in an hour number of people checked out is,
= 60 / 5
= 12

Now,
The number of people in the checkout queue  = 84 - 12 = 72 people.

Thus, in the checkout line, there are 72 people waiting.

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Answer:

16.3

Step-by-step explanation:

Answer:

16.3

Step-by-step explanation:

hope this helps turn the frown upside down

Answer:

D. It would be less steep

Step-by-step explanation:

The first graph moves at a rate of 5/1 which is a greater fraction than 3/4

The expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2) Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

The property of exponents that must be applied to the expression p^(1/2) to derive p as the result is the Power of a Power Property.

The Power of a Power Property states that when a power is raised to another power, the exponents are multiplied.

For instance, consider the expression p^(1/2). We can apply the Power of a Power Property to this expression as follows: p^(1/2) = (p^(1/2))^1 By applying the Power of a Power Property, the exponent (1/2) is multiplied by the exponent 1, giving a result of 1/2.

Therefore, the expression becomes: p^(1/2) = p^(1/2 * 1) = p^(1/2)Now we can simplify p^(1/2) as p^1/2 which equals the square root of p.

So we have derived p as the result using the Power of a Power Property.

In summary, we must apply the Power of a Power Property to the expression p^(1/2) to derive p as the result.

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Answer:

\( \frac{29}{19} \)

Step-by-step explanation:

Hopefully that is correcr

Step-by-step explanation:

my answer is in the image above

The solution is m=70miles.

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

If k kilometers is the same distance as m miles.

k is given approximately by the formula.

k=8m/5

the number of miles in 112km,

then, we get

k=8m/5

i.e. m= 5k/8

now, k=112

so, m= 5/8 * 112

i.e. m=70

Hence, The solution is m=70miles.

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Answer:

multiply the parenthesis

Step-by-step explanation:

X2 + 7x + 10 = 0 has roots -5 and -2, the answer.

x2 + 7x + 10 = 0 is a mathematical equation.

x2 + 5x + 2x + 10 = 0 [dividing the middle term] is another way to express the aforementioned equation.

After factoring 2 from the second term of the expression, 2x + 10, and x from the first term of the expression, (x2 + 5x), the expression may be broken down into its constituent parts.

We obtain the factorized equation as follows: x (x + 5) + 2 (x + 5) = 0.

Now we can calculate (x + 2) (x + 5) = 0 by utilizing the distributive property.

The result of separately equating both terms with 0 is,

The equation x2 + 7x + 10 = 0 has -5 and -2 as its roots.

The Complete Question is :

How to Find the roots of the equation x2 + 7x + 10 = 0?

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Answer:

100:2  =200:x

200*2/100=4

Step-by-step explanation:

Answer:

Assuming you mean (2^3)3, the answer is 24

Step-by-step explanation:

using pemdas you do 2 to the third power first

2x2=4 4x2=8

then you mutiply by the number not in parenthesis; 3

8x3 = 24

\(-29~~,~~\stackrel{-29+7}{-22}~~,~~\stackrel{-22+7}{-15}~~,~~...\hspace{5em}\stackrel{\textit{common difference}}{d=+7} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\textit{term position}\\ a_1=\textit{first term}\\ d=\textit{common difference}\\[-0.5em] \hrulefill\\ a_1=-29\\ n=92\\ d=7 \end{cases} \\\\\\ a_{92}=-29+(92-1)7\implies a_{92}=-29+637\implies \boxed{a_{92}=608}\)

Answer:

y = -4

Step-by-step explanation:

-4y - 3 + 3y = 8 - 2y - 15

~Combine like terms

-y - 3 = -2y - 7

~Add 3 to both sides

-y = -2y - 4

~Add 2y to both sides

y = -4

Best of Luck!

Answer:

I think this is the same as yesterday.

We have the next points

H(-4,1)

I(-2,2)

J(-1,-2)

K(-4,-4)

The rule to rotate 180° counterclockwise

with rule, we can find the points

H'=(-(-4),-1)=(4,-1)

I'=(-(-2),-2)=(2,-2)

J'=(-(-1),-(-2))=(1,2)

K'=(-(-4),-(-4))=(4,4)

so the answer is

H'=(4,-1)

I'=(2,-2)

J'=(1,2)

K'=(4,4)

we can graph them they are the points in red

Answer:

2

Step-by-step explanation:

y = mx + b

y = total cost of the gym

m = cost per personal session

x = number of sessions

b = cost of one month

Silver gym:

y = 30x + 25

Fit Factor:

y = 20x + 45

Set them Equal to each other:

30x + 25 = 20x + 45                   (get Xs on one side by subtracting 20x)

10x + 25 = 45                              (isolate x by subtracting 25 from both sides)

10x = 20                                      (divide both sides by 10)

x = 2 personal training sessions to make the cost equal

Answer:

y = -10x -6

Step-by-step explanation:

Answer:

2.24

Explanation:

2.5 - 2.4 / 1.2(0.13) = 2.24