A. the function has a maximum value of 1
B.the function has a minimum value of 1
C.the function has a maximum value of -2
D.the function has a minimum value of -2

The positive value of the distance between the two objects

is [tex]r = +\sqrt \frac{GM_1M_2}{F_g}[/tex].

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, The formula to calculate the gravitational force between two objects

is [tex]F_g = \frac{GM_1M_2}{r^2}[/tex] where r is the distance between the objects M is the individual masses and G is the gravitational constant.

Solving for r would result in two values one positive and one negative and distance can not be negative so we want the positive value.

[tex]F_g = \frac{GM_1M_2}{r^2}[/tex].

[tex]r^2 = \frac{GM_1M_2}{F_g}[/tex].

[tex]r = \pm\sqrt \frac{GM_1M_2}{F_g}[/tex].

[tex]r = +\sqrt \frac{GM_1M_2}{F_g}[/tex].

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Answer:

27 degrees

Step-by-step explanation:

Sum of angles in a triangle is 180 degrees.

x + 40 + 113 = 180

x + 153 = 180

x = 180 - 153

x = 27 degrees

Answer:

[tex]\pi{r}^{2} [/tex]

[tex]\pi {(13.5)}^{2} [/tex]

27 is the diameter so u divide it by 2 to get the radius which is 13.5

equals 572.56

Answer:

37

Hope this helps :)

Answer:

1/2

Step-by-step explanation:

Using rise over run, you get 1/2. Hope this helps :), if you need the slope-intercept equation (y=mx+b), it's y=1/2x+0

The answer to linear expression is 233.

A linear expression is defined as an algebraic statement where each term is either a constant or a variable raised to the first power.

We have to Simplify linear expressions in the process of writing linear expressions in their way and simplest forms such that the value of the original expression is maintained.

There are a few steps to follow when we want to simplify expressions

Given equation is C= 240-7

C= 240-7=233

The answer to the given expression is 233.

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x=16

Step-by-step explanation:

A straight angle is 180°

you get 180°- 62°=a

then You add up a and 46=b

lastly we know that a triangle's angle is 180° so we get 180°- b

tYou should try it yourself

Plotting a graph step by step is mentioned below.

In math, 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.

Using rectangular bars with heights or lengths proportionate to the values they represent, a bar chart or bar graph displays categorical data. Both a vertical and a horizontal bar plot are possible. A column chart is another name for a vertical bar graph.

There are a few steps to follow when plotting a graph:

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Yes, 9 is a positive number because 9 is a natural number and also we use 9 in our daily life counting problems also.

Let's first attempt to understand what numbers are.

A number is an arithmetic value that is computed and used to represent a quantity. Numbers are represented in writing by symbols like "3," which are numerical symbols. A number system is a methodical way of employing digits or other symbols to represent numbers. The numerical system is a useful set of numbers that reflects the mathematical and algebraic structure of the number. provides a typical illustration.

Positive numbers Any number that represents something other than zero is considered to be positive. When referring to the amount of money in your bank account, a positive figure would undoubtedly make you feel good as well.

So 9 is a positive number.

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Answer:

q = 22

Step-by-step explanation:

these angles form a straight line, therefore their sum is 180

7q - 46 + 3q+6 = 180

10q - 40 = 180

10q = 220

q = 22

The function in the attached graph is nonlinear

The function is negative where x < 0 and where x > 0.

There is an extrema.

The maximum is located at x = 0.

As the x-value decreases the y-value decreases for x < 0

As the x-value increases the y-value decreases for x > 0

The function is not a straight line graph, because of this, it is a non linear function

The extrema refers to points of maximum or minimum values. The function on the graph has a maximum value at (0, 0)

The end behavior of the function is described as

x ⇒ ∞ f(x) ⇒ - ∞

x ⇒ -∞ f(x) ⇒ -∞

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The maximal number of consecutive integers by using the expression [tex]2*sqrt(n*|a|).[/tex]

Let f(x) = ax^n + bx^{n-1} + ... + z be a polynomial with integer coefficients and degree n>1. According to the theorem of Tchebychev, the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),... is bounded by the expression 2*sqrt(n*|a|), where a is the coefficient of the highest degree term of f(x).

For example, let f(x) = 3x^3 + 4x^2 - 5. The coefficient of the highest degree term is 3, and the degree of the polynomial is 3. Therefore, the maximal number of consecutive integers belonging to the sequence f(1),f(2),f(3),... is 2*sqrt(3*|3|) = 6.

To calculate this maximal number, we can follow these steps:

Identify the degree of the polynomial, n.

Identify the coefficient of the highest degree term, a.

Calculate the maximal number of consecutive integers by using the expression 2*sqrt(n*|a|).

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Answer:

look at the picture I sent

Answer:

8.5 hrs? direct variation

Step-by-step explanation:

60 per hour is 600 for 10 hours so 70 per hour to go 600 miles is 8.57142857143 in the calculator

600/60 =10

600/70 = 8.5

and its direct variation because on a graph 8.5 8.5 squares up for ever 1 square going over every time and the graph does curve but I haven't learned this stuff in years so I'm not 100% sure

Answer:

slope = 4

Step-by-step explanation:

Given equation

y = 4x + 7

Comparing the given equation with y = mx + c

so

Slope (m)

= 4

Hope it will help :)❤

Answer:

-5

Step-by-step explanation:

Let n = an integer

Let (n+2) = the next consecutive odd integer

n + 7( n + 2) = -26  Distribute the 7

n + 7n + 7(2) = -26

n + 7n + 14 = -26  Combine like terms

8n +14 = -26  Subtract 14 from both sides

8n + 14 - 14 = -26 -14

8n = -40  Divide both sides by 8

n = -5

The next consecutive odd integer would be -3

Consecutive just means the next number.

a. 26%

sorry if wrong...

Answer:

Step-by-step explanation:

Let the missing side be x.

Use Pythagorean:

Answer:

2x+4y,9

Step-by-step explanation:

Answer:

4(3p - 7)

Step-by-step explanation:

First find the factors of 12 and 28:

12: 1, 2, 3, 4, 6, 12

28: 1, 2, 4, 7, 28

Notice any common factors: 1, 2, 4

Now, out of these factors, 4 is the GCF since it is the greatest common factor, so divide 12 and 28 by 4:

12/4 = 3.  28/4 = 7.

Hence, 12p-28 = 4(3p - 7)

Answer:

Amount of grass needed (In square meter) = 34 meter²

Step-by-step explanation:

Divide given shape into rectangle and trapezium

Given:

Width of rectangle = 2 m

Length of rectangle = 5 m

Height of parallelogram = 9 - 5 = 4 m

Base of parallelogram = 10 m

Opposite site of parallelogram = 2 m

Find:

Amount of grass needed (In square meter)

Computation:

Amount of grass needed (In square meter) = Area of rectangle + Area of parallelogram

Amount of grass needed (In square meter) = (l x b) + (1/2)(sum of parallelogram)(height)

Amount of grass needed (In square meter) = (5 x 2) + (1/2)(2 + 10)(4)

Amount of grass needed (In square meter) = 10 + (1/2)(12)(4)

Amount of grass needed (In square meter) = 10 + 24

Amount of grass needed (In square meter) = 34 meter²

Answer: see below...

Step-by-step explanation:

a) no: 50% of 4,000 is 2,000. 50% of 2,000 is a 1,000. So the car is not “free”, you will have to pay a $1,000.

b) $1,000

Answer:

f=8

Step-by-step explanation:

Other way is to rest 21 by 13 that will give you 8.

Answer:

35 < u

Step-by-step explanation:

25 < u - 10

25 + 10 < u - 10 + 10

35 < u

Answer:

sixth number is 10

Step-by-step explanation:

(11 + 7 + 21 + 14 + 9 + x) / 6 = 12

(62 + x) / 6 = 12

cross-multiply to get:

62 + x = 72

x = 10

The expression is t = 0.3 + 3.2p, where t is the box's overall weight and p is the number of plaques it contains.

Let's review the data given to us to properly respond to the question:

Weight of a box by itself = 0.3 kg

Weight of a plaque = 3.2 kg

The expression can be used to determine the total weight of the box :

We shall use the following phrase to respond to the query:

Total weight of the box in kg = t

Number of plaques inside the box = p

Hence, the expression t = 0.3 + 3.2p

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The purchasing cost of each game costs $1.55 and each song costs $1.89 according to the given equation.

A variable is a symbol or character that represents a value or set of values ​​in mathematics and computer programming that can change and take on different values ​​depending on the context.

The given problem can be solved using a system of equations.

The first formula, 5g + 8s = 22.87, represents the total cost of games and songs purchased by Cedro.

The second formula, 7s + 4g = 18.89, represents the total cost of games and songs purchased by Benita.

5g = 22.87 - 8s

g = (22.87 - 8s)/5.

We can now substitute this expression for g into the second equation and solve for s. So we have:

7s + 4((22.87 - 8s) / 5) = 18.89

On expanding and solving this equation for s we get:

7s + (91.48 - 32s) = 18.89

32s + 7s = 73.59

39s = 73.59

s = 1.89

By substituting the value of s into the equation 5g = 22.87 - 8s gives

5g = 22.87 - 8(1.89)

5g = 22.87 - 15.12

5g = 7.75

g = 1.55

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