Which graphed function is described by the given intervals? Decreasing on (−∞, 0) Increasing on (0, ∞)

The correct options are -

When something is bought on credit, an initial payment is made in the form of a down payment.

Given is that Renata is purchasing a condominium for $125,000. She wants to put down a down payment of 20%.

We can calculate the amount she is putting in down payment as -

{x} = 20% of 125000

{x} = 20/100 x 125000

{x} = 20 x 1250

{x} = 25000

Therefore, the correct options are -

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Answer:

Marcel's and Stephanie's taxable incomes are less than their annual salaries because they both have a series of tax deductions

Step-by-step explanation:

Answer:

Area = 8x² - 14x + 5

Perimeter = 12x - 12

Explanation:

The area of the rectangle can be calculated as the base times the height, so the area is equal to:

Area = Base · Height

Area = (4x - 5)·(2x - 1)

So, applying the distributive property, we get:

Area = 4x(2x) + 4x(-1) - 5(2x) - 5(-1)

Area = 8x² - 4x - 10x + 5

Area = 8x² - 14x + 5

On the other hand, the perimeter is equal to:

Perimeter = 2(Base) + 2(Height)

Perimeter = 2(4x - 5) +2(2x - 1)

Perimeter = 2(4x) - 2(5) + 2(2x) - 2(1)

Perimeter = 8x - 10 + 4x - 2

Perimeter = 12x - 12

Then, the answers are:

Area = 8x² - 14x + 5

Perimeter = 12x - 12

Answer:

72 miles per hour

Step-by-step explanation:

what you would need is 72 miles per hour

because 576 miles

8 hours

= 72 miles

Answer:

x<-12 or x>16

Step-by-step explanation:

Answer:

|x - 2| + 3 > 17

|x - 2| > 14

x - 2 < -14 or x - 2 > 14

x < -12 or x > 16

Answer:

its 7,320 its the same

Step-by-step explanation:

The expanded form of 7,320 will be 7000 + 300 + 20.

The number system is a way to represent or express numbers.

A decimal number is a very common number that we use frequently.

Since the decimal number system employs ten digits from 0 to 9, it has a base of 10.

Any of the multiple sets of symbols and the guidelines for utilizing them to represent numbers are included in the Number System.

Given the number 7,320

The expanded form of 7,320 contains thousand whole, hundred whole, and tens whole.

So,

The expanded form of 7320 = 7000 + 300 + 20.

Hence "7000 + 300 + 20 will be expanded form of the given number".

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Answer:

Vector is equal to vector b. For two vectors to be equal, they must have both the magnitude and the directions equal.

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

To find the slope between two points (x1, y1) and (x2, y2), we can use the formula:

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

In this case, the two points are (7, -4) and (-7, -4). So we have:

x1 = 7

y1 = -4

x2 = -7

y2 = -4

Substituting these values into the slope formula, we get:

slope = (-4 - (-4)) / (-7 - 7) = 0 / (-14) = 0

Therefore, the slope between the two points (7, -4) and (-7, -4) is 0.

Using the concept of word problems and quadratic equation it will take 1 year until the sum of square of their ages be 45.

Word problems are mathematical problems that are delivered in ordinary words, instead of mathematical symbols.

Part of the problem with dealing with word problems that they first need to be translated into mathematical equations, and then the equations need to be solved.In this problem;

let x represent the number of years from now when the sum of square of their respective age will be

45.(x + 2)² + (x + 5)² = 45

Expanding the brackets;

x² + 4x + 4 + x² + 10x + 25 = 45

2x² + 14x + 29 = 45

2x² + 14x + 29 - 45 = 0

2x² + 14x - 16 = 0

Solving the quadratic equation for x;

x = 1, x = -8

Taking the positive value, the value of x is 1

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Answer:

Yes it is

Step-by-step explanation:

Pi is measured to be around 3.14 and 4.6 is of course bigger than 3.14 so yes it is

answer:

yes

explanation:

pi is 3.14 (and those numbers going on forever) even though pi looks big, the numbers are behind the decimal which is very small.

sorry I'm bad at explaining but I just went over this in class

4 is bigger than 3 so automatically 4.6 is bigger than pi

Answer:

41 1/6 feet tape is left on the roll.

hope this helps pretty sure this is the correct answer

Answer: x

Step-by-step explanation:

-3x-7+4x+7

than because the 7's cancel each other out it would become

-3x+4x which would be equal to x

The triangle for which angle a =30\degree, angle b=45\degree, and a=20, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636

Two angles (a and b) and one side (a) are provided for us to solve the triangle. Let's call the side across from angle a side A, the side across from angle b side B, and the side across from the final angle (angle c) side C.

Here, it is given that,

angle a = 30 degrees

angle b = 45 degrees

side a = 20

angle c = 180 - (angle a + angle b)

angle c = 180 - (30 + 45)

angle c = 180 - 75

angle c = 105 degrees

We know that, a/sin(A) = b/sin(B) = c/sin(C)

a/sin(A) = b/sin(B) = c/sin(C)

20/sin(30) = b/sin(45) = c/sin(105)

b/sin(45) = 20/sin(30)

b = (sin(45) * 20) / sin(30)

b ≈ (0.7071 * 20) / 0.5

b ≈ 14.142 / 0.5

b ≈ 28.284

Now,

c/sin(105) = 20/sin(30)

c = (sin(105) * 20) / sin(30)

c ≈ (0.9659 * 20) / 0.5

c ≈ 19.318 / 0.5

c ≈ 38.636

Thus, side a ≈ 20, side b ≈ 28.284, and side c ≈ 38.636.

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The profit that the upcoming business would be making after 10 years is  $122 million.

The profit of the business in 10 years can be modelled with an exponential equation. This is because the rate of growth of profit each year would be 10% of the last year's profit.

The equation that is used to determine the profit in 10 years is:

FV = P (1 + r)^n

Where:

FV = 100 x (1 + 0.02)^10

FV = $100 million x (1.02^10) = $122 million

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Answer:

It's the 2nd one

Step-by-step explanation:

Answer:

Step-by-step explanation:

for all x>6

x-6>0

\(\frac{6x-x^2}{x^2-4x-12} \\=\frac{-x(x-6)}{x^2-6x+2x-12} \\=\frac{-x(x-6)}{x(x-6)+2(x-6)} \\=\frac{-x(x-6)}{(x-6)(x+2)} \\=\frac{-x}{x+2} \\by~dividing~by~x-6\)

Answer:

-2x² - 10xy + 2y²

Step-by-step explanation:

4x² - 9xy - 4y² - 6x² - xy + 6y² =

= 4x² - 6x² - 9xy - xy - 4y² + 6y²

= -2x² - 10xy + 2y²

The statement is false as the number of terms in the equation is not two

The equation is given as

11 + 9k = 6n

Consider an equation represented as

a + b = c

The variables a, b and c are the terms of the equation

This means that the equation 11 + 9k = 6n has the following terms

11, 9k and 6n

The number of these terms is 3

So, the equation has three terms

Hence, it is false that the equation has two terms

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Area=l×w

Function:-

\(\\ \sf\longmapsto (l*w)(x)\)

\(\\ \sf\longmapsto l(x)*w(x)\)

\(\\ \sf\longmapsto (x+24)(x+16)\)

\(\\ \sf\longmapsto x^2+40x+384\)

The temperature at 8:00 A.M. was 15°C.

Using the given information:
1. At 7:00 P.M., the temperature was 16°C.
2. This temperature was 9°C less than the temperature at 2:00 P.M.

We can use this information to find the temperature at 2:00 P.M.:
Temperature at 2:00 P.M. = 16°C (temperature at 7:00 P.M.) + 9°C
Temperature at 2:00 P.M. = 25°C

3. The temperature at 2:00 P.M. was 10°C higher than the temperature at 8:00 A.M.

Now, we can find the temperature at 8:00 A.M.:
Temperature at 8:00 A.M. = 25°C (temperature at 2:00 P.M.) - 10°C
Temperature at 8:00 A.M. = 15°C

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The time taken for the rocket to reach its maximum height is; 2.25 seconds.

The maximum height reached by the toy rocket as evaluated from the given parameters is; 88 feet.

It follows from the task content that the maximum height reached by the rocket is to be determined.

The given function is; h (t) = -16 t² + 72t + 7.

Since it follows from evaluation that; at maximum height, the rate of change of height to time is equal to 0.

Therefore; at maximum height;

h'(t) = 0

h'(t) = -32t + 72 = 0

-32t = -72

t = -72/-32

t = 2.25 seconds.

Therefore, the time taken for the rocket to reach its maximum height is; 2.25 seconds.

Also, the maximum height reached by the rocket is at; h (2.25);

h(2.25) = -16(2.25)² + 72 (2.25) + 7

= -81 + 162 + 7

= 88.

The maximum height reached is; 88 feet.

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Step-by-step explanation:

the median is 4

the mean is 1+2+4+6+4+4/6

21/6=7\2

6.5 the mode is 4

Answer:

170 cm³

Step-by-step explanation:

V = πr²h

= 3.14 * (3)² * 6

= 3.14 * 9 * 6

= 169.56 cm³

= 170 cm³

Answer:

2 1/2

Step-by-step explanation:

To Find x It the same things as 1 3/4 + 3/4 = x.

Look in the picture for the work or below:

Add \(\frac{7}{4}\) to both sides of the equation

\(x-\frac{7}{4}+\frac{7}{4}=\frac{3}{4}+\frac{7}{4}\)

Simplify

\(\frac{5}{2}\)

\(\frac{5}{2}=2\frac{1}{2}\)

Answer:

Step-by-step explanation:

\(x - 1\frac{3}{4} =\frac{3}{4}\)

\(x =\frac{3}{4} + 1\frac{3}{4}\)

\(x =\frac{3}{4} + \frac{7}{4}\)

\(x = \frac{3+7}{4}\)

\(x=\frac{10}{4}\)

\(x = \frac{5}{2}\)

\(x = 2\frac{1}{2}\) or \(2.5\)

Answer:

  a) 125 different numbers

  b) 60 numbers with different digits

Step-by-step explanation:

You want to know the number of different combinations you can have with three dials, each having numbers 1–5, and you want to know the number of combinations with three different digits.

Any of the three dials may be set to any of the five digits, so there are ...

  5 × 5 × 5 = 125

possible three digit combinations.

The number of different 3-digit numbers is 125.

If the digits are to be different, there can be 5 different first digits, 4 different second digits, and 3 different 3rd digits, for a total of ...

  5 × 4 × 3 = 60

possible combinations with different digits.

The number of 3-digit numbers with different digits is 60.

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The current population of Algeria is 38 million

From the question, we have the following parameters that can be used in our computation:

P = 38(1 + r)^t

In the initial year, we have

t = 0

Substitute the known values in the above equation, so, we have the following representation

P = 38(1 + r)^0

Evaluate

P = 38

Hence, the population is 38 million

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Answer:

9/2=m

Step-by-step explanation:

3/4=m/6

m/6×3/4

18/4m

9=2m

m=9/2

The property you are referring to is called the associative property of multiplication. According to this property, when multiplying three numbers, the grouping of the numbers does not affect the result. In other words, you can change the grouping of the factors without changing the product.

In the equation you provided: 3x(5x7) = (3x5)7

The associative property allows us to group the factors in different ways without changing the result. So, whether we multiply 5 and 7 first, or multiply 3 and 5 first, the final product will be the same.

Answer:

68

Step-by-step explanation:

8 boxes. 10 per one box. 8×10=80

80-12= 68