Must a function that is decreasing over a given interval always be negative over the same interval?​

The equation 2 + 3 = 3 + x has an infinite number of solutions.

A value of x that makes the equation true is -1, which when substituted into the equation and simplified makes the equation turn into 2 + 3 = 3 - 1 = 2.

Another value of x that makes the equation true is -4, which when substituted into the equation and simplified makes the equation turn into 2 + 3 = 3 - 4 = -1.

Therefore, the equation 2 + 3 = 3 + x has an infinite number of solutions.

A quadratic equation is a polynomial equation of degree 2, written in the form:

ax^2 + bx + c = 0

where a, b, and c are constants and x is an unknown variable. The equation can be solved to find the values of x that satisfy the equation, known as the roots or solutions. These solutions can be found using methods such as factoring, the quadratic formula, or completing the square.

Quadratic equations are commonly used in mathematics, science, and engineering to model and solve a wide range of real-world problems, such as modeling the trajectory of a projectile or finding the minimum or maximum value of a function.

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g(0) = 3

g(0): The value of g(x) when x = 0

This means we will substitute x in g(x) with 0

Answer:528 apple trees

Step-by-step explanation:Listen 198/6=33 so then just multiply 33x16 that equals 528 hope this helps

Answer:

the rate of change is 16. 2÷32 = 16

4÷32 is 16 etc

Answer:

1X = 16Y every time the X value goes up by one it increase by 16.

Step-by-step explanation:

If you do 32/2 you will get the answer 16 and if you do 4/64 it also says 16.

The difference between (2,32) and (4,64) 64-32 is 32 4-2 is 2 and you also get 32,2 from that equation.

An indication of the inequality negative 2 over 3 > −1 about the positions of negative 2 over 3 and −1 on the number line is that: A. negative 2 over 3 is located to the right of −1.

A number line can be defined as a type of graph that is designed and developed with a graduated straight line containing both positive and negative numbers (numerical values), that are placed at equal intervals along its length.

This ultimately implies that, a number line can be used for the comparison of two or more numbers such as -2/3 and -1. Also, a number line typically decreases in numerical value towards the left and increases in numerical value towards the right.

Note: negative 2 over 3 = -2/3.

By comparison, we have:

-2/3 > -1

In conclusion, the above inequality simply means that -2/3 is greater than -1 and it would be located to the left of 0 and right of -1 on a number line as shown in the image attached below.

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The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.

According to the statement

We have to find about the distance.

So, For this purpose, we know that the

The distance between two points is that the length of the path connecting them.

From the given information:

We have to search out that the the shortest distance between two points on a sphere.

Then we all know that the

Sphere is that the set of all points in three-dimensional space lying the identical distance from a given point, or the results of rotating a circle about one in every of its diameters.

Then

The shortest path between two points on the sphere is that the arc of a good circle.

According to this the option C is correct.

So, The shortest path between two points on the sphere is the arc of a great circle. Thus, option C is correct.

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Answer:

88,458,658.57

Step-by-step explanation:

6(1.5)^26(1.5)×2 is the problem

6(1.5)^26(1.5) = 44,229,329.28. Multiply this by two and you get the answer provided above.

Answer:

Yes it does. Because it's a linear graph, what Mena's it's a linear relationship, and linear relationships are proportional

Answer:

I feel you bro

Step-by-step explanation:

In this case, the frequency of Maggie spending 9 hours in the office is 2, and the total frequency is the sum of all the frequencies, which is 3 + 1 + 4 + 2 = 10.

Therefore, the experimental probability is 2/10, which simplifies to 1/5.

The probability that both hits in the game will be home runs is 1/100 or 0.01.

To calculate the probability that both hits will be home runs, consider the probability of a home run and the total number of possible outcomes.

Given:

The baseball player hits a home run once in every 10 times at bat; hence, the probability of a home run is 1/10.

The player gets exactly two at-bats in every game.

Probability of a home run in one at-bat = 1/10

Probability of both hits being home runs = (1/10) * (1/10)

Probability of both hits being home runs = 1/100

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On average, suppose a baseball player hits a home run once in every 10 times at bat, and suppose he gets exactly two "at bats" in every game.  assume a player has come up to bat and gotten two hits in a game. what is the probability that both of those hits will be homers (home runs)?

Answer:

El resultado es -1.5

Step-by-step explanation:

-3 ÷ 2 = -1.5

Answer:

d = 97 m

Step-by-step explanation:

Given that,

The dimensions of the rectangular ceiling is 65 meters by  72 meters.

We need to find how much garland will Hector need to reach from one corner of the ceiling to the  opposite corner. Let it is d. It will be the diagonal of the rectangle. We can find it using Pythagoras theorem as follows :

\(d=\sqrt{65^2+72^2} \\\\d=97\ m\)

So, 97 m of garland Hector will needed to reach from one corner of the ceiling to the opposite corner.

Answer: B. Niche

Explanation:

Definition of niche: a niche is the match of a species to a specific environmental condition. It describes how an organism or population responds to the distribution of resources and competitors and how it in turn alters those same factors.

Answer: Niche

Niche is basically like a type of place of something or someone

Mark and Don have 18  and 92 marbles respectively.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side. It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation. To determine the value of an unknown variable that represents an unknown quantity, equations can be solved.

Let the number of marbles Mark has be x.

According to the question,

Don has (5x+2) marbles.

Total number of marbles=110

Thus, the required equation is:

x+5x+2=110

6x=108

x=108/6

x=18

Mark has 18 marbles.

Don has (5*18+2)=92 marbles.

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Answer:

We need to know the other marbles in the bag and how many there are of each.

Answer:

12b=3b+75

Step-by-step explanation:

Answer:

12b=3b+75

Step by step equation

Answer:

The answer should be d>=2 and d<2

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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Answer:

y = 2x - 5

Step-by-step explanation:

Using the slope intercept formula y2 - y1 / x2 -x1...

You get a slope of 2 so y = 2x +b

Then to find b the intercept, you plug in one of the coordinates like so...

1 = 2(3) + b

Then solve to get an intercept of -5.

So the slope-intercept form would be...

y = 2x - 5

Answer:

a) 20 students

b) 20 students

Step-by-step explanation:

a) From the given frequency table, we have to check the number of students that scored above 73.5 and add them up.

Therefore, the number of students that have grades above 73.5 are:

14 + 4 + 2 = 20 students

b) 75 falls in between 74 - 76 and we do not have the individual frequencies of the grades (74, 75, 76).

However, we can use the data we have from the table to make an assumption.

The number of students that have grades below 75 will be:

13 + 5 + 2 = 20 students

Answer:

33.22 square inches

Step-by-step explanation:

Diameter to Radius: \(\frac{1}{2}d = r\)

Area of Circle: \(\pi r^2\)

We are given the diameter of a pancake as 4.6 inches, so the radius is 2.3 inches. Next, we have to apply the area of circle formula with pi as 3.14 and the radius as 2.3

Next, since there's two pancakes, we double 16.6106.

Lastly, we round to the nearest hundredth.

Therefore, the answer is 33.22 square inches.

The total area of Ruby-Rose paints will be 213 square feet. The Option B is correct.

In math, an area means the total space taken up by a flat surface or shape of an object.

The area of each wall is:

= 8 feet x 8 feet

= 64 square feet

The area of three walls:

= 3 x 64

= 192 square feet

The area of door is:

= 3 feet x 7 feet

= 21 square feet

The total area painted will equal:

= 192 + 21

= 213 square feet

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Answer:

12x -7

Step-by-step explanation:

Answer:

first part is

snow crest - x = 11180.21 or 28768.31 - x = 11180.21

the elevation of Mt Wilson is 17 588.1

Step-by-step explanation:

so it is

snow crest - x = 11180.21

so the elevation of Mt Wilson is

snow crest - 11 180.21 = 17 588.1

Answer:

550 / 12 = 45.84

45.84 / 4 = approximately 11.46

Answer: 11 11/24

Step-by-step explanation: 550/12 275/6/4/1

(275/6)(1/4)

275/24

11 11/24

Answer:

domain would be all real numbers

range would be either:  y ≥ -3 or y ≤ -3 depending whether the vertex is a minimum or a maximum

Step-by-step explanation:

The equation of the circle with center (-5, 2) and radius 7 is ( x + 5 )² + ( y - 2 )² = 49.

The standard form equation of a circle with center (h, k) and radius r is:

( x - h )² + ( y - k )² = r²

Given that the center of the circle is (-5, 2) and the radius is 7.

Hence, we can substitute these values into the formula to get the equation of the circle:

Plug in h = -5, k = 2 and r = 7

( x - h )² + ( y - k )² = r²

(x - (-5) )² + ( y - 2 )² = 7²

Simplifying and expanding the equation, we get:

( x + 5 )² + ( y - 2 )² = 49

Therefore, the equation of the circle is ( x + 5 )² + ( y - 2 )² = 49.

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