Bethany wrote the equation X+ (x+2)+(+4)= 91 when she was told that the sum of three consecutive odd integers had a
sum of 91. Which statement about her equation is true?

Bethany is correct because consecutive odd integers will each have a difference of two.
Bethany is correct because there are three xs in the equation and three is an odd number so it represents the sum of odd
numbers.
Bethany is incorrect because 2 and 4 are even numbers, she should use 1 and 3 in their place.
Bethany is incorrect because consecutive integers always increase by 1 each time, not by 2.

Answer:

33 feet

Step-by-step explanation:

We can draw a triangle in this situation.

Note:

The height of the tree is the side "opposite" of the 35 angle. The squirrel's distance of 47 feet from the base of the tree is the side "adjacent" to the angle.

Which trig ratio relates "opposite" and "adjacent"?

It is Tan

Thus we can write and solve (let height of tree be h):

[tex]Tan(35)=\frac{h}{47}\\h=Tan(35)*47\\h=32.91[/tex]

To the nearest foot, the height of tree is about 33 feet

Answer:

answer: 5x + 10

Step-by-step explanation:

The distributive property (of which this is an example) demands that the 5 must multiply the x (which was done correctly) to give 5x

But the problem becomes undone when you forget about the 2. You must multiply the 2 by 5 as well to give 10.

The plus sign cannot be destroyed. The terms are not alike. So the answer is 5x + 10

Answer:

Option D. is the answer.

Step-by-step explanation:

Option A.

From the table we can see that for the value of x = 3, there are two values of y (14 and 19).

Which is not possible for a function. It should be one to one.

So option A is not a function.

Option B.

In this option again we have two values of y = 0, -5 for the value of x = 3.

For a function values of x and y should be one to one.

Therefore, it's not a function.

Option C.

Here for x = -1, there are two values of y (y = -11 and 5).

Therefore, it's not a function.

Option D.

In the given graph we find that there are different values of y for every value of x.

Therefore, Option D is the answer.

Answer:

60 degrees, 55 degrees, and 50 degrees respectively

Step-by-step explanation:

Equation: m<1+m<2+m<3=180

1. 40+80+x=180 Subtract 120(because 40+80=120)

  x=60

2. 50+75+x=180 subtract 125 (50+75=125)

    x=55

3. 50+80+x=180 subtract 130 (50+80=130)

   x=50

Answer:

50

Step-by-step explanation:

sorry if wrong pls mark brainliest

Answer: B. Rhombus.

Step-by-step explanation: B. Rhombus is the answer because a rectangle has 2 pairs of equal sides. A pentagon has 5 sides. A trapezoid doesn’t have all equal sides. A rhombus is like a squished square.

Answer:

-2

Step-by-step explanation:

Within the provided points list for the graph, there is the coordinate (1, -2). Hence, by definition of a function and how to read graphs, f(1) is -2.

In this scenario, you're being asked to read the value of f(1) from a given graph. The line passing through the listed points is irrelevant provided one of the plotted points has an x-coordinate of 1. You directly read this from the graph - not calculate it or interpolate it. The list of points you've provided includes (1, -2), so, in your case, f(1) = -2. This is exactly how you would refer to the y-value at x=1 on a visual graph.

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Answer:

Step-by-step explanation:

[tex]p\%=\dfrac{p}{100}\\\\14\%=\dfrac{14}{100}=0.14\\\\3540\%=\dfrac{3540}{100}=35.40=35.4\\\\14\%\ of\ 3540\%\ of\ 35\to(0.14)(35.4)(35)=173.46[/tex]

The sum of the geometric series is approximately 435.4, according to the formula for geometric series summation.

To find the sum (Sn) of a geometric series, you can use the formula:

[tex]\[ Sn = \frac{{a_1 \cdot (1 - r^n)}}{{1 - r}} \][/tex]

Where:

[tex]- \( a_1 \) is the first term\\- \( r \) is the common ratio\\- \( n \) is the number of terms[/tex]

Given:

[tex]\( a_1 = 0.28 \)\( a_5 = 362.88 \)\( r = 6 \)[/tex]

We need to find [tex]\( n \)[/tex]. Since [tex]\( a_5 \)[/tex] is the fifth term, we can use the formula for the nth term of a geometric series:

[tex]\[ a_n = a_1 \cdot r^{(n-1)} \][/tex]

Substitute the values we have:

[tex]\[ 362.88 = 0.28 \cdot 6^{(5-1)} \]\[ 362.88 = 0.28 \cdot 6^4 \]\[ 362.88 = 0.28 \cdot 1296 \]\[ 362.88 = 363.648 \][/tex]

So, [tex]\( n = 5 \).[/tex]

Now, plug the values into the sum formula:

[tex]\[ S_5 = \frac{{0.28 \cdot (1 - 6^5)}}{{1 - 6}} \]\[ S_5 = \frac{{0.28 \cdot (1 - 7776)}}{{-5}} \]\[ S_5 = \frac{{0.28 \cdot (-7775)}}{{-5}} \]\[ S_5 = \frac{{-2177}}{{5}} \]\[ S_5 = -435.4 \][/tex]

Since the sum of a series cannot be negative, the correct answer is option:

a. 435.4

Answer:

{x = -3 , y=2  (Isolved for both variables be elimination)

Step-by-step explanation:

Solve the following system:

{3 x + 5 y = 1 | (equation 1)

7 x + 4 y = -13 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 4 y = -13 | (equation 1)

3 x + 5 y = 1 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{7 x + 4 y = -13 | (equation 1)

0 x+(23 y)/7 = 46/7 | (equation 2)

Multiply equation 2 by 7/23:

{7 x + 4 y = -13 | (equation 1)

0 x+y = 2 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{7 x+0 y = -21 | (equation 1)

0 x+y = 2 | (equation 2)

Divide equation 1 by 7:

{x+0 y = -3 | (equation 1)

0 x+y = 2 | (equation 2)

Collect results:

Answer:  {x = -3 , y=2

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}3x+5y=1&\text{multiply both sides by 7}\\7x+4y=-13&\text{multiply both sides by (-3)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}21x+35y=7\\-21x-12y=39\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad23y=46\qquad\text{divide both sides by 23}\\.\qquad\qquad y=2[/tex]

If you want to solve it to the end, put the value of y in the first equation and solve it for x.

3x + 5(2) = 1

3x + 10 = 1         subtract 10 from both sides

3x = -9           divide both sides by 3

x = -3

Answer:

20

Step-by-step explanation:

To find the median of this data first add the numbers together then decide by the amount of numbers. So for this problem add 13+14+17+18+21+23+26+28=160 then 160÷8=20

Answer: 19.5

Step-by-step explanation:

A p e x

The discriminant of the quadratic function f(x) = 25x² - 10x + 1 is equal to zero. Hence, the graph of this function has only one x-intercept.

The student is asking for the value of the discriminant of the quadratic function f(x) = 25x² - 10x + 1 and the number of x-intercepts the function has. In a quadratic function ax²+bx+c, the value of the discriminant, denoted as D, is calculated using the formula D = b² - 4ac. In this case, a = 25, b = -10, and c = 1.

Therefore, the discriminant D = (-10)² - 4(.25)(1) = 100 - 100 = 0. The quadratic equation will have exactly one root if the discriminant is zero.

Thus, "the graph of the function f(x) = 25x² - 10x + 1 has one x-intercept".

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The value of the discriminant is 0, and the graph of \(f\) has one repeated x-intercept.

1. The value of the discriminant [tex](\(\Delta\))[/tex] of the quadratic function [tex]\(f(x) = 25x^2 - 10x + 1\)[/tex] is [tex]\(b^2 - 4ac\),[/tex] where a, b and c are coefficients in the quadratic equation [tex]\(ax^2 + bx + c = 0\)[/tex].

2. The number of x-intercepts the graph of \(f\) has is determined by the discriminant:

  - If [tex]\(\Delta > 0\)[/tex], there are two distinct x-intercepts.

  - If [tex]\(\Delta = 0\)[/tex], there is one repeated x-intercept (the graph touches the x-axis but does not cross it).

  - If [tex]\(\Delta < 0\)[/tex], there are no x-intercepts (the graph does not intersect the x-axis).

1. Calculate [tex]\(\Delta\)[/tex]: In the given function [tex]\(f(x) = 25x^2 - 10x + 1\)[/tex], [tex]\(a = 25\),[/tex] [tex]\(b = -10\),[/tex]and [tex]\(c = 1\)[/tex]. Plug these values into the discriminant formula: [tex]\(\Delta = b^2 - 4ac\).[/tex]

[tex]\[\Delta = (-10)^2 - 4(25)(1) = 100 - 100 = 0\][/tex]

2. Analyze the number of x-intercepts based on \(\Delta\):

  - Since [tex]\(\Delta = 0\)[/tex], there is one repeated x-intercept.

Therefore, the value of the discriminant is 0, and the graph of \(f\) has one repeated x-intercept.

Answer:

1. Length when found = length at birth + (age when found × growth each year); 2. 6.3 yr

Step-by-step explanation:

1. The word equation

Length when found = length at birth + (age when found × growth each year)

2. The calculations

                            5 m = 2.6 m + (age when found × 0.38 m/yr)  

Do the multiplication first (PEMDAS)

                            5 m = 2.6 m + 0.38 × age when found m/yr

Subtract 2.6 m from each side of the equation

                           2.4 m = 0.38 × age when found m/yr

Divide each side by 0.38 m/yr

                           6.3 yr = age when found

The killer whale is 6.3 yr old.

Answer:

Is a Mean, Median and Mode

Is also a summary statistics that presents the center point or typical value off a dataset.

Answer is attached in the image provided.

The graph shows the solutions:

x1 = -3    ⇒  x + 3 = 0

x2 = 1     ⇒  x - 1 = 0

x3 = 5     ⇒  x - 5 = 0

The polynomial follows:   y = (x + 3)(x - 1)(x - 5)

.

Answer:

y= (x+3) (x-1) (x-5)

Step-by-step explanation:

The graph crosses the x axis at the points -3,1,5

These are also called the zeros

f(x) =k (x-a) (x-b) (x-c) .....

where a,b,c,... are the zeros of the function and k is a constant

f(x) = k * (x--3) (x-1) (x-5)

f(x) = k(x+3) (x-1) (x-5)

To help determine the value of k

Take another point  at x = 0, we know the value is positive

f(0) = k(3) (-1) (-5)

f(0) = k(15)

That means k must be greater than 0  Looking at the graph, it should be around 1

f(x) = (x+3) (x-1) (x-5)

Answer:

The function reveals that the maximum earning from ticket sales will be $6480 after 2 ($0.50) price increases

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = -20x² + 80x + 6400 represents the total

 earnings from ticket sales and x represents the number of $0.50

 price increases

∵ f(x) is a quadratic function

∵ The coefficient of x² is -20

∴ The function has a maximum value

- The vertex of the quadratic function f(x) = ax² + bx + c is (h , k),

 where h = -b/2a and k = f(h)

* Lets find the maximum point of f(x)

∵ a = -20 , b = 80

∵ h = -b/2a

∴ h = -(80)/2(-20) = -80/-40 = 2

∵ k = f(h) and h = 2

∴ f(2) = -20(2)² + 80 (2) + 6400

∴ f(2) = -80 + 160 + 6400

∴ f(2) = 6480

∴ k = 6480

* The function reveals that the maximum earning from ticket sales

  will be $6480 after 2 ($0.50) price increases

Answer:

maximum, 6480, two

The end behavior of the function y = 10x9 – 4x is such that as x approaches infinity, y approaches infinity, and as x approaches negative infinity, y approaches negative infinity. This is because the degree of the polynomial is odd and the leading coefficient is positive.

The end behavior of a polynomial function describes what happens to the function values (y-values) as x approaches infinity and negative infinity. In your function, y = 10x9 – 4x, the highest power of x is 9, and it's coefficient is positive.

According to the rules of end behavior, if the degree (highest power) of the polynomial is odd, and the leading coefficient (the number in front of the highest power) is positive, as x approaches positive infinity, y also approaches positive infinity, and as x approaches negative infinity, y approaches negative infinity.

In simpler terms, this means that the graph of your function starts in the third quadrant (bottom-left) and ends in the first quadrant (top-right). Hence, the end behavior of this function can be described as: as x approaches infinity, y approaches infinity; and as x approaches negative infinity, y approaches negative infinity.

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Answer: C

Step-by-step explanation: the answer is C on edge :)

Answer:

You would click (1,-5)

Step-by-step explanation:

The absolute minimum is the lowest point of the graph.

In all graphs, if it says minimum, it almost certainly means that lowest point, and if there are more than one, you would simply click on those.

It does not matter how many points there are, only that they are the lowest.

Therefore, it would be 1,-5.

Answer:

Step-by-step explanation:

If you accept that this is a function or even a relationship then and is connected then the minimum should be (1,-5).  

Answer:

6.96 in².

Step-by-step explanation:

The formula for the surface area of a sphere is

A= 4πr²

Data:

d = 1.4882 in

Calculations:

r = d/2 = 1.4882/2 = 0.7441 in

V = 4 × π × 0.7441² = 6.96 in²

The surface area of the ping pong ball is 6.96 in².

Answer:

y-axis

Step-by-step explanation:

..................

Answer:

A) y-axis.

Explanation:

Answer:

option D

Step-by-step explanation:

As the sample space is for first rolling a number cube and then shooting a basketball, it should be a number n , and X/O

where n= 1,2,3,4,5,6

of the given options

A) 0,2 is incorrect as O of basketball is first and then there is 2

of cube

B) X,O is incorrect because both are from shooting basket ball

C)1,T is incorrect as T is not from the basketball.

only D is correct 6,X!

Option D.) 6, X correctly represents an element of the sample space for rolling a number cube followed by shooting a basketball, including an outcome of rolling a 6 and then making the shot

The question relates to an understanding of sample spaces in probability. The sample space is a set of all possible outcomes of a probability experiment. In this case, the experiment consists of two independent actions: rolling a number cube (commonly a six-sided die) and shooting a basketball with two possible outcomes (making a shot 'X' or missing 'O').

A correct element of the sample space would include one outcome from rolling the die (1 through 6) and one outcome from shooting the basketball (X or O). For example, rolling a 1 on the die and making the basketball shot (X) would be represented as (1, X). Therefore, the correct answer to the question is option D.) 6, X, which shows an outcome of rolling a 6 on the die followed by making the basketball shot

Answer:

[4, 1]

Step-by-step explanation:

Here we have four rows and one column, so the order of A + B is [4, 1].

The correct option is b). The statement is False, it incorrectly describes the method for converting minutes to seconds.

To convert minutes to seconds, you multiply by 60 because there are 60 seconds in one minute.

So, to convert 5.25 minutes to seconds:

[tex]\[ 5.25 \text{ minutes} \times 60 \text{ seconds/minute} = 315 \text{ seconds} \][/tex]

Therefore, 5.25 minutes is equal to 315 seconds.

Regarding your original question about the statement:

To convert 5.25 minutes to seconds, you would use the ratio  [tex]\( \frac{1 \text{ second}}{60 \text{ minutes}} \).[/tex]

This statement suggests using a ratio, which is not correct for converting minutes to seconds. Instead, you should use multiplication by 60 seconds per minute.

Answer:

B. take up less space than when the data set is not organized

Step-by-step explanation:

Well, in this question, you can analyze one answer after the other.

In A see important values in the data set, this makes sense when determining mode and median of a data set.Median is the center value in a data set, while mode is the repeated value in the set.When data set is arranged from smallest to the largest, the median and mode can be seen clearly.These can be the important values in the data set

In C. More easily see the maximum and minimum values in the data set, is possible especially when data is arranged in an increasing order.The smallest value will start, where as the largest value will be at the end.This applies to D too.

However in B, it will depend with the manner you would like to analyze the data.For example organizing data using tables will make your data easy to understand and present your analysis.Another person will group the data in intervals to identify the frequency of in data set.So, you see, its not about space taken by data but how you would like to present your data when analyzing it.

Hope this helps.

The only option that is a triangle from the given options is; 4cm, 8cm, 10 cm

A triangle is a plane shape with three sides which could all be equal or have 2 equal or have no equal sides.

Now, we know a triangle to be one if the sum of two smallest sides is greater than the longest side.

Thus, only option B can B a triangle because the sum of 4cm and 8cm is 12 cm which is greater than 10 cm.

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Answer:

180

Step-by-step explanation:

180-120 = 60 this is one of all the congruent angles

of the top of my head i know a regular triangle has three 60 degree angles meaning it is 60*3 = 180

Answer:

11.43

Step-by-step explanation:

10 divided by 7/8

Set the expression:

(10/(7/8))

To solve, flip the denominator fraction, and make the division into multiplication:

((10 x 8)/7)

Multiply across, then divide:

(80)/7

Divide:

80/7 = 11.43 (rounded)

11.43 is your answer.

~

Answer:

14

Step-by-step explanation:

8 + 3e

Let e =2

8 + 3(2)

8 + 6

14

Answer:

For number 9)

Interval notation [tex](-\infty,3][/tex]

For number 10)

Interval notation: [tex](-\infty,\frac{-1}{2}) \cup (\frac{-1}{2},\infty)[/tex].

Step-by-step explanation:

On square roots you have to make sure the inside is positive or zero.

So the domain of the first one will come from solving

[tex]6-2x \ge 0[/tex]

Subtract 6 on both sides:

[tex]-2x \ge -6[/tex]

Divide both sides by -2 (flip inequality when divide both sides by negative):

[tex]x \le 3[/tex]

The domain is less than or equal to 3.

Interval notation [tex](-\infty,3][/tex]

On fractions you have to watch out for dividing by 0.

The domain is all real numbers except when 4x+2=0.

4x+2=0

Subtract 2 on both sides:

4x=-2

Divide both sides by 4:

x=-2/4

Reduce:

x=-1/2

The domain is all real numbers except when x=-1/2

Interval notation: [tex](-\infty,\frac{-1}{2}) \cup (\frac{-1}{2},\infty)[/tex].

Answer:

9. [tex] (-\infty, 3] [/tex]

15. [tex] (-\infty, -\dfrac{1}{2}) \cup (-\dfrac{1}{2}, \infty) [/tex]

Step-by-step explanation:

9.

The function has a square root. Since you cannot take the square root of a negative number, the expression in the root must be non-negative.

[tex] 6 - 2x \ge 0 [/tex]

[tex] -2x \ge -6 [/tex]

[tex] x \le 3 [/tex]

[tex] (-\infty, 3] [/tex]

15.

There is a denominator int he function. The denominator cannot equal zero. Set the denominator equal to zero to find out the value that must be excluded from x.

[tex] 4x + 2 = 0 [/tex]

[tex] 4x = -2 [/tex]

[tex] x = -\dfrac{1}{2} [/tex]

[tex] (-\infty, -\dfrac{1}{2}) \cup (-\dfrac{1}{2}, \infty) [/tex]

Answer:155

Step-by-step explanation:

The measure of angle BCD is 140°.

Quadrilaterals are geometric figures with 4 sides and 4 angles. And, for these figures, the sum of interior angles is 360°. There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles.

Supplementary angles are two angles whose sum is equal to 180°.

For solving this question, you should find the supplementary angle for A, B and D angles.

       A=180-25=155°

       B+146=180

       B=180-146=34°

       D+149=180

       B=180-149=31°

After that, find the angle C from a property of quadrilaterals - sum of interior angles is 360°. Thus,

                                        A+B+C+D=360

                                      155+34+C+31=360

                                       C=360-31-34-155

                                                  C=140°.

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[tex]\huge{\boxed{\frac{12}{14}}} \huge{\boxed{\frac{18}{21}}} \huge{\boxed{\frac{24}{28}}} \huge{\boxed{\frac{30}{35}}} \huge{\boxed{\frac{36}{42}}}[/tex]

One really simple way to find an equivalent fraction is just to multiply the numerator and denominator.

For example, for the first answer, [tex]\boxed{\frac{12}{14}}[/tex], I simply multiplied the numerator and denominator each by 2.  This gives you an equivalent fraction.

You can then continue with this process using numbers such as 3, 4, 5, and 6 as your multiplication factor.

Step-by-step explanation:

[tex]\dfrac{6}{7}=\dfrac{6\cdot2}{7\cdot2}=\dfrac{12}{14}\\\\\dfrac{6}{7}=\dfrac{6\cdot3}{7\cdot3}=\dfrac{18}{21}\\\\\dfrac{6}{7}=\dfrac{6\cdot4}{7\cdot4}=\dfrac{24}{28}\\\\\dfrac{6}{7}=\dfrac{6\cdot5}{7\cdot5}=\dfrac{30}{35}\\\\\dfrac{6}{7}=\dfrac{6\cdot6}{7\cdot6}=\dfrac{36}{42}\\\\\dfrac{6}{7}=\dfrac{6\cdot7}{7\cdot7}=\dfrac{42}{49}\\\vdots\\\dfrac{6}{7}=\dfrac{6\cdot10}{7\cdot10}=\dfrac{60}{70}\\\vdots\\\dfrac{6}{7}=\dfrac{6\cdot100}{7\cdots100}=\dfrac{600}{700}\\\vdots[/tex]