Which of the following sets represents the range of the function shown?{(–3, 4), (5, 11), (9, –1), (10, 13)}

Answer:

  k = 5

Step-by-step explanation:

The sum of the zeros is the opposite of the coefficient of x, so is (k+6).

The product of zeros is the constant term, 2(2k+1), so half their product is (2k+1).

The problem statement asks us to find k so that these values are the same:

  k +6 = 2k +1

  5 = k . . . . . . . . subtract k+1

The value of k is 5.

_____

The zeros are 5.5±√8.25. Their sum is 11; their product is 22.

Answer:

|x-22| < 2

The < has an underline below it

The absolute value inequality that represents the average height range of a golden retriever (20-24 inches) is |h - 22| <= 2, where h represents any height within the range. This means that the difference between any height in the range and the midpoint (22 inches) is at most 2 inches.

To write the average height range of a golden retriever as an absolute value inequality, we need to first find the midpoint of the range and then use that to express the distance from any height in the range to that midpoint. In this case, the average height range for a golden retriever is 20-24 inches. The midpoint of the range is (20 + 24) / 2 = 22 inches. So, any height h in the range satisfies |h - 22| <= 2. This is because the maximum difference between any height in the range and the midpoint is 2 inches (24 - 22 or 22 - 20).

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Answer:

x=2

Step-by-step explanation:

Vertical angles are equal

m ZE = m ZF

9x+12 = 3x+24

Subtract 3x from each side

9x -3x +12 = 3x-3x+24

6x+12 = 24

Subtract 12 from each side

6x+12 -12 = 24-12

6x = 12

Divide each side by 6

6x/6 =12/6

x = 2

Answer:  [tex]\bold{(0,-\sqrt{26})\quad \&\quad (0,\sqrt{26})}[/tex]

Step-by-step explanation:

[tex].\qquad y^2-25x^2=25\\\\\implies \dfrac{y^2}{25}-\dfrac{25x^2}{25}=\dfrac{25}{25}\\\\\\\implies \dfrac{y^2}{25}-\dfrac{x^2}{1}=1\\\\\\Center: (0, 0)\\Length\ of\ foci:25+1=c^2\implies \sqrt{26}=c\\Foci: (0,0\pm \sqrt{26})[/tex]

Answer: 50 meters

Step-by-step explanation: I just finished the pretest

Answer:  The ball is 50 m off the ground after 2 seconds

Step-by-step explanation:

Given the function relating the height of an object off the ground to the time spent falling is a quadratic relationship.

Therefore if h=height and t=time then

[tex]h=a+bt+ct^{2}[/tex]       ----------(A)

where a,b and c are constants

Apply given conditions

At t=0s h=90 m

=> 90 m = a+0+0

=>a=90 m

Also the ball has been just dropped at t=0 s

=>[tex]\frac{\partial h}{\partial t}=0=>\frac{\partial (a+bt+ct^{2})}{\partial t}=0[/tex]

=>[tex]b+2ct=0[/tex]

For t=0s b = 0

Thus equation (A) is reduced to [tex]h=90+ct^{2}[/tex]

At  t= 3 s , h=0 m

[tex]\therefore 0= 90 +9c=>c=-10 \frac{m}{s^{2}}[/tex]

Finally we get [tex]h=90-10t^{2}[/tex]

Therefore at t= 2.0 s , [tex]h=(90-10\times 2^{2})m=50 m[/tex]

Thus the ball is 50 m off the ground after 2 seconds

Answer:

The domain is all real numbers. The range is {y|y ≤ 16}

Step-by-step explanation:

we have

[tex]f(x)=-x^{2}-2x+15[/tex]

This is a the equation of a vertical parabola open downward

The vertex is a maximum

The vertex is the point (-1,16)

see the attached figure

therefore

The domain of the function is all real numbers ----> interval (-∞,∞)

Te range of the function is

[tex]y\leq 16[/tex]

All real numbers less than or equal to 16 ----> interval  (-∞,16]

Answer:

The domain is all real numbers. The range is {y|y ≤ 16}.

Step-by-step explanation:

B on edg

Answer:

x = 8,

Step-by-step explanation:

[tex]\displaystyle \frac{4}{x} = \frac{5}{10}[/tex].

[tex]x \ne 0[/tex] for it is a denominator. Multiply both sides with the product of the two denominators: [tex]10\;x[/tex]:

[tex]\displaystyle \frac{4}{x}\cdot (10\; x) = \frac{5}{10}\cdot (10\;x)[/tex].

[tex]40 = 5\; x[/tex].

Multiply both sides by one over the coefficient of x:

[tex]\displaystyle \frac{1}{5} \times 40 = \frac{1}{5}\times 5\; x[/tex].

[tex]x = 8[/tex].

Answer : Answer is 8

Step-by-step explanation:

Took the test

Answer:

The elapsed time is 7hrs and 1 minute.

The elapsed time from 5 in the afternoon to 1 minute after midnight is 7 hours and 1 minute, taking into consideration the division of a day into a.m. and p.m.

The key to solving this question is first understanding how we measure time in day and night, which are demarcated by a.m. and p.m.. Each cycle of 24 hours is divided into two parts: 12 hours from midnight to noon (a.m.) and another 12 hours from noon to midnight (p.m.).

Let's calculate the elapsed time from 5 in the afternoon to 1 minute past midnight. From 5 p.m to midnight, there are 7 hours. Adding the 1 minute past midnight, the total elapsed time is 7 hours and 1 minute.

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Answer: The first choice

Step-by-step explanation: You alsways distribute inside the paranethesis, so 2(x+3)+5 > 2x+ (2*3)+5

Hello! My name is Zalgo and I am here to help you out today. The answer is -44. The real way to solve it is like this --> "2(3-5(2+1)2+5)".

I hope that this helps! :D

"Stay Brainly and stay proud!" - Zalgo

(By the way, can you mark me as Brainliest? I'd greatly appreciate it! Thank you! XP)

Answer:

The triangle is reflected across the x-axis and then translated 1 unite to the right , 1 unit up

Step-by-step explanation:

* Lets revise some transformation

- If point (x , y) reflected across the x-axis

 then the new point = (x , -y)

- If point (x , y) reflected across the y-axis

 then the new point = (-x , y)

- If the point (x , y) translated horizontally to the right by h units

 then the new point = (x + h , y)

- If the point (x , y) translated horizontally to the left by h units

 then the new point = (x - h , y)

- If the point (x , y) translated vertically up by k units

 then the new point = (x , y + k)

- If the point (x , y) translated vertically down by k units

 then the new point = (x , y - k)

* Now lets solve the problem

- A triangle has three vertices

- The vertices are B (-3 , 0) , C(2 , -1) , D (-1 , 2)

- The images of the vertices are B" (-2 , 1) , C" (3 , 2) , D" (0 , -1)

 after two steps of transformations

- After comparing the points with their images we find

# The x-coordinates of the points are added by 1

∴ There is translation to the right

# The y-coordinates of the points not add or subtracted by the same

   number, that means there is a transformation before the translation

   for the y-coordinates

# The sign of y-coordinates of the points are changed , that means

   there is a reflection across the x-axis

∴ B' is (-3 , 0) , C' is (2 , 1) , D' is (-1 , -2)

- After comparing the 1st image with the 2nd images we find

# The x-coordinates of the points are added by 1 and the

   y-coordinates are add by 1

∴ B" is (-2 , 1) , C" is (3 , 2) , D" is (0 , -1)

- From all above

* The triangle is reflected across the x-axis and then translated 1 unite

  to the right , 1 unit up

Answer:

B, D

Step-by-step explanation:

Angles 1 and 2 combined form a right angle, so the sum of their measures is 90°.  Therefore, they are complementary angles.

Since they share a common side and vertex and don't overlap, they are also adjacent angles.

Answer:

○ The graph of y = -2x² + 3 opens downward and is shifted up.

Step-by-step explanation:

According to the Quadratic Equation, y = Ax² + Bx + C, C acts like a y-intercept, and in this case, since both graphs shift up [because both are positive values], we do not pay attention to those. Now, we come over to our A, which makes a BIG difference because both graphs open in opposite directions [one negative, one positive]. With this being stated, we have our answer.

If you are ever in need of assistance, do not hesitate to let me know by subscribing to my You-Tube channel [USERNAME: MATHEMATICS WIZARD], and as always, I am joyous to assist anyone at any time.

** Extended information on Parabolas

Opens down → -A

Opens up → A

Answer:

Step-by-step explanation:

This can only be written one way.

Let the number = x

x^2 - 10

is how the statement translates.

x^2 = x*x

the 2 means that you need two xs.

The ^ means that you multiply the two xs.

Answer:

Hey there.. I will be more than happy to help you today..  :)

A Number squared decreased by ten

We will do this with steps:-

Step 1 - "A number ". So, Let's say any number be x

Step 2 -  "A number squared". Our number x is squared i.e. x²

Step 3 - "A number squared" ( i.e. x²  ) is decreased by ten

x² - 10  

This is your answer.

Hope this helps you :)

Step-by-step explanation:

Hope you got helped

Answer:

circumference is 21.99 and area is 47 and 2/35 unit squared sorry if its a little late

Hello There!

I Provided Steps In The Image Attached.

Have A Great Day!

Answer:

Step-by-step explanation:

First pull out  the common factor of ab

ab(8a^3 + (1/125)b^3)

This is basically the sum of cubes. The linear factor is

(2a + 1/5 b)

The other factor is these two factors squared and their multiplicand subtracted.

(2a^2 - 2/5 ab + 1/25b^2)

Now put  all this together and you get

ab(2a + 1/5 b)((2a^2 - 2/5 ab + 1/25b^2)

Points P and Q are not the same due to their different positions in the division of the directed segment. Point P is closer to A while Point Q is closer to B.

Point P and Q are not the same point. In the directed segment from A to B, Point P divides the segment in a way that the ratio of AP to PB is 1:3, meaning Point P is closer to A. On the contrary, Point Q divides the segment from B to A in a way that the ratio of QB to QA is 1:3, implying that Point Q is closer to B. Therefore, P and Q have different positions on the segment.

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No, Point P and Q are not the same. P is closer to A because it partitions the directed segment from A to B, whereas Q is closer to B as it partitions the segment from B to A, taking into account the directionality of the segments.

In mathematics, partitioning points on a directed segment refers to dividing the segment into distinct parts according to a given ratio. Point P partitions the directed segment from A to B into a 1:3 ratio, which means P is one part from A and three parts from B. On the other hand, Point Q partitions the directed segment from B to A into a 1:3 ratio, indicating that Q is one part from B and three parts from A.

Given this, P and Q are not the same point. P is closer to point A and Q is closer to point B since the directionality of the segment is taken into account. The direction from A to B is not the same as the direction from B to A, so the points P and Q that partition these segments in a 1:3 ratio will end up at different locations.

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Answer:

[tex]x=5[/tex] and [tex]y=2[/tex].

Step-by-step explanation:

We have been given a system of equations. We are asked to solve our given system.

[tex]x+y=7...(1)[/tex]

[tex]2x+3y=16...(2)[/tex]

From equation (1), we will get:

[tex]x=7-y[/tex]

Upon substituting this value in equation (2), we will get:

[tex]2(7-y)+3y=16[/tex]

[tex]14-2y+3y=16[/tex]

[tex]14+y=16[/tex]

[tex]14-14+y=16-14[/tex]

[tex]y=2[/tex]

Now, we will substitute [tex]y=2[/tex] in equation (1).

[tex]x+2=7[/tex]

[tex]x+2-2=7-2[/tex]

[tex]x=5[/tex]

Therefore, the point [tex](5,2)[/tex] is solution for our given equation.

Answer:

The answer is (5,2)

Step-by-step explanation:

I took the test and got it correct.

Answer:

The best possible answer is 3.

[tex]91 \div 31[/tex]

is the equivalent to 91/31. When divided, the answer comes out to 2.935483871 which, when rounded up, is 3.

The value of the given expression 91/31 will be; 3. The correct option is A.

Expression in maths can be defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication and division.

The given expression will be calculated by;

=   91  /  31

=   2.93

≅  3

Therefore the value of the given expression is 3. The correct option is A.

To know more about Expression follow

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Answer:

(x+5) /-15 = f^-1(x)

Step-by-step explanation:

f(x)= -15x-5

y = -15x-5

Exchange x and y

x = -15y -5

Solve for y

Add 5 to each side

x+5 = -15y -5+5

x+5 = -15y

Divide by -15

(x+5)/-15 = -15y/-15

(x+5) /-15 = y

(x+5) /-15 = f^-1(x)

Answer:

Nearly 23.8%

Step-by-step explanation:

The word ALGEBRA consists of letters A, L, G, E, B, R and A (2 letters A and 5 letters other than A).

The probability that the first letter chosen will be other than A is

[tex]\dfrac{5}{7}[/tex]

Then 2 letters A and 4 letters other than A left (6 letters in total). The probabilty that the second letter chosen is A is

[tex]\dfrac{2}{6}=\dfrac{1}{3}[/tex]

Hence, the probability of choosing a letter other than A and then choosing an A is

[tex]\dfrac{5}{7}\cdot \dfrac{1}{3}=\dfrac{5}{21}\approx 23.8\%[/tex]

The probability of first drawing a letter other than 'A' and then drawing an 'A' from the word ALGEBRA is approximately 23.81%. This is determined by calculating the individual probabilities and then multiplying them together.

The word ALGEBRA has 7 letters. The probability of choosing a letter other than 'A' means we are considering 5 valid letters out of the 7. Therefore, the probability is 5/7. Then, looking for an 'A' within the remaining 6 letters (after one letter is already taken), we see there are 2 'A' letters left, so the probability is 2/6 or simplified as 1/3.

Therefore, the combined probability of both these events happening is the product of their individual probabilities. We multiply the fractions: 5/7 * 1/3 = 5/21 = 0.238095. Translating that fraction into a percentage, we multiply by 100% to get approximately 23.81%.

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Answer:

A. 0

Step-by-step explanation:

Nothing can be equal to itself if you subtract 9 from it.

Final answer:

The equation X = X - 9 yields a contradiction upon simplification (0 = -9), indicating that there are no solutions.

Explanation:

To determine the number of solutions for the given equation, we start by inspecting it closely:

X = X - 9

If we attempt to solve for X, we will subtract X from both sides of the equation:

0 = -9

This is a contradiction since 0 does not equal -9. Therefore, the given equation has no solution. Other examples of equations can have one solution, such as X = 1, or have two solutions, such as quadratic equations like x = 4.133 or 9.435. But in this case, the equation does not balance and therefore has no solutions.

The correct answer is:

A. 0

Answer:

the answer is yes because on a graph, even if it has a x intercept, it will eventually intercept the y intercept b/c the line will continue infinitely.

Step-by-step explanation:

Please mark brainliest and have a great day!

no

no becuase not every line acrosses along the whole graph and the y intercept gose up and down

Answer:

When x <= 8000

The cost remains constant at 0.35 when x increases from 0 to 8000

The slope of cost function over this part is 0

When 8000 < x <= 20000

The cost remains constant at 0.75 when x increases from 8000 to 20000

The slope of cost function over this part is 0

When 20000 < x <= 42000

The cost decreases when x increases from 20000 to 42000

The slope of cost function

[tex]m = \frac{y2 - y1}{x2 - x1} \\ = \frac{(0.83 - \frac{40000}{200000}) - (0.83 - \frac{20000}{200000})}{40000 - 20000} [/tex]

m= -5 × 10^-6

Answer:

21 1/3

Step-by-step explanation:

Write this as an expression

3/4 x = 16

Now it is a one step equation

divide 3/4 from its self and 16

3/4 divided by 16 = 21 1/3

x= 21 1/3

Answer:

[tex]21\frac{1}{3}[/tex] or 21.3

Step-by-step explanation:

We are given that the product of [tex] \frac { 3 } { 4 } [/tex] and a number is [tex] 1 6 [/tex].

Assuming that number to be [tex] x [/tex], we can write it as:

[tex] \frac { 3 } { 4 } \times x = 1 6 [/tex]

Taking the denominator to the other side of equation and multiplying it to get:

[tex] 3 x = 1 6 \times 4 [/tex]

[tex] 3 x = 6 4 [/tex]

Isolating the variable to get:

[tex] x = \frac { 6 4 } { 3 } [/tex]

[tex] x = 21\frac{1}{3}[/tex] or [tex] x = 21.3[/tex]

Answer:

Step-by-step explanation:

Pay = 10.35 * h   where h is the number of hours that he works. The other 2 questions should have been included with this one. I'll answer the second one here.

Distance = 65 * h

distance = 65 * h miles.

[tex]x+y=20\\\underline{x-y=40}\\2x=60\\x=30\\\\30+y=20\\y=-10[/tex]

-10 and 30

Answer:

The numbers are 30 and -10.

Step-by-step explanation:

The sum of two numbers is 20 (addition)

x + y = 20

The difference is 40 (subtraction)

x - y = 40

To solve an equation, you can only have one variable. Solve one of these for a variable (it doesn't matter which one).

x - y = 40   Add y to both sides

x = 40 + y

Now you have a new value for x (40 + y), so you can plug it into your other equation.

x + y = 20   Plug in (40 + y) for x

40 + y + y = 20   Combine like terms (y + y)

40 + 2y = 20   Subtract 40 from both sides

2y = -20   Divide both sides by 2

y = -10

Now, plug your y into either equation.

x + y = 20   Plug in -10 for y

x + (-10) = 20   Simplify

x - 10 = 20   Add 10 to both sides

x = 30

Check your work by plugging these numbers into both equations.

x + y = 20   Plug in

30 + (-10) = 20   Simplify

30 - 10 = 20   Simplify

20 = 20

and

x - y = 40   Plug in

30 - (-10) = 40   Simplify

30 + 10 = 40

40 = 40

Answer:

B . [tex]f(x+h)=\frac{x+h}{1+x+h}[/tex]

Step-by-step explanation:

Given function is:

[tex]f(x)=\frac{x}{1+x}[/tex]

Sall h is used to denote minor change in function. The value of the new function f(x+h) will be calculated by putting x+h in place of x in the function.

So putting x+h in place of x

[tex]f(x+h)= \frac{x+h}{1+(x+h)}\\=\frac{x+h}{1+x+h}[/tex]

So, option B is the correct answer ..

Answer:

1. y= -1/4

Step-by-step explanation:

y/5 + 3/10 = (y+2)/7

Get a common denominator for the left hand side

2y/10 + 3/10 = (y+2)/7

(2y+3)/10 = (y+2)/7

Using cross products

(2y+3) *7 = 10*(y+2)

Distribute

14y+21 = 10y+20

Subtract 10y from each side

14y-10y +21 = 10y-10y+20

4y+21 =20

Subtract 21 from each side

4y+21-21 = 20-21

4y = -1

Divide by 4

4y/4 = -1/4

y = -1/4