The table shows values for functions f(x) and g(x) .

What is the solution to f(x)=g(x) ?
Select each correct answer.

A. −3

B. −2

C. −1

D. 0

E. 1

F. 2

G. 3

The statements that are true about the function are

A. The function is concave down for the interval (-∞, 3)

B. The function has a maximum value at (4, 0)

F. The function is decreasing on the interval (3, 4)

G. The function is decreasing on the interval (-∞, 1)

So, the statements that are true about the function are

A. The function is concave down for the interval (-∞, 3)

B. The function has a maximum value at (4, 0)

F. The function is decreasing on the interval (3, 4)

G. The function is decreasing on the interval (-∞, 1)

Learn more about functions here:

https://brainly.com/question/10439235

#SPJ1

Answer:

3

Step-by-step explanation:

z/12=18/72      z/12=1/4  z=3

Answer:

The answer is z=3

Step-by-step explanation:

hope this helps

z/12 = 18/72

72z=216

To find z divide both sides by 72

72z/72=216/72

z=3

Answer:

15.8 in

Step-by-step explanation:

12cm  x .4 = 3 in

14 x .4 = 5.6

18 x .4 = 7.2

3 + 5.6 + 7.2 = 15.8 in

Hope that helps!

-Sabrina

Answer:

32:35 is the ratio to your question.

Blue squares : Purple squares = 32 : 35

Ratio is defined as a relationship between two quantities, it is expressed one divided by the other.

A pattern has 32 blue squares for every 35 purple squares.

∵ 32 Blue squares : 35 Purple squares

∴ Blue squares : Purple squares = 32 : 35

The ratio of blue squares to purple squares = 32 : 35

Learn more about Ratio

brainly.com/question/1504221

#SPJ2

A.The length of each path is 130 meters.

Given:

The park resembles an isosceles trapezoid.

Figure shows a trapezium . AC and BD are diagonals. The length of BD is 14x plus 4, and AC is 11x plus 31.

we know that:

Diagonals are equal in isosceles trapezoid.

14x + 4 = 11x + 31

14x - 11x = 31 - 4

3x = 27

divide by 3 on both sides

3x/3 = 27/3

x = 9

Diagonal length = 14x + 4.

= 14*9 + 4

= 126 + 4

= 130 meters.

Therefore The length of each path is 130 meters.

Learn more about the length here:

https://brainly.com/question/8552546

#SPJ1

Answer:

Between 6 and 7

Step-by-step explanation:

6^2 = 6 × 6 = 36

7^2 = 7 × 7 = 49

45 is between 36 and 49

Answer:9

Step-by-step explanation: it’s nine because 6×9 = 54

The planes that are parallel in the cube shown would be C. NOR and LMP.

Two planes that are located on a cube and are always opposite and never intersect; they remain continuously at the same distance from each other. A cube consists of three pairs of parallel planes in correspondence with its triplet of opposing faces.

From the given options, the only parallel planes would be NOR and LMP. One of the reasons for this, is that these planes have no point of intersection unlike the planes in the other options.

Find out more on parallel planes at https://brainly.com/question/29329147

#SPJ1

Answer:

\( \frac{1}{2} \times base \times height\)

pls like and mark as brainliest if it helpz!

The correct answer is 3/2. In this case, x = 3/2, and its square, (3/2)^2 = 9/4, is rational. x satisfies the given condition.option (c)

To explain further, we need to understand the properties of rational and irrational numbers.

A rational number can be expressed as a fraction of two integers, while an irrational number cannot be expressed as a fraction and has non-repeating, non-terminating decimal representations.

In the given options, (a) √5102.0 (£) and (b) √2 are both irrational numbers.

Their squares, (√5102.0)^2 and (√2)^2, would also be irrational, violating the given condition. On the other hand, (d) 4/5 is rational, and its square, (4/5)^2 = 16/25, is also rational.

Option (c) 3/2 is rational since it can be expressed as a fraction. Its square, (3/2)^2 = 9/4, is rational as well.

Therefore, (c) 3/2 is the only option where x is rational, but its square is irrational, satisfying the condition mentioned in the question.

In summary, the number x that satisfies the given condition, where x^2 is irrational but x is rational, is (c) 3/2.option (c)

for such more questions on rational

https://brainly.com/question/30339525

#SPJ8

Answer:

194.4

Step-by-step explanation:

V=l*w*h

V=12*4.5*3.6

V=194.4

The equations that can be used to solve for y, the length of the room, are: y(y + 5) = 750, y² – 5y = 750, and y(y – 5) + 750 = 0.

It states that when multiplying a number by a group of numbers added together, you can multiply the number by each individual number in the group and add the products together to get the same answer.

In order to find the length of the room, we need to solve for y in each of the equations given.

First, let's solve for y in the equation y(y + 5) = 750. We can use the distributive property to expand the equation to y² + 5y = 750.

Then, we can subtract 750 from both sides of the equation to get y² + 5y - 750 = 0.

To solve the equation, we need to factor it. We can use the difference of squares formula to factor the equation, yielding (y + 25)(y - 30) = 0. Therefore, one solution for y is y = -25, and the other solution is y = 30.

Second, let's solve for y in the equation y² – 5y = 750.

To solve this equation, we can add 5y to both sides to get y² = 5y + 750. Then, we can divide both sides by y to get y = 5y + 750.

We can then subtract 5y from both sides to get y - 5y = 750. Finally, we can divide both sides by 5 to get y = 150.

Third, let's solve for y in the equation y(y – 5) + 750 = 0.

To solve this equation, we can use the distributive property to expand the equation to y² – 5y + 750 = 0.

Then, we can subtract 750 from both sides to get y² – 5y = -750.

To solve the equation, we need to factor it. We can use the difference of squares formula to factor the equation, yielding (y + 25)(y - 30) = 0. Therefore, one solution for y is y = -25, and the other solution is y = 30.

In conclusion, the equations that can be used to solve for y, the length of the room, are y(y + 5) = 750, y2 – 5y = 750, and y(y – 5) + 750 = 0. The solutions for y are y = -25 and y = 30.

For more questions related to numbers

https://brainly.com/question/251701

#SPJ1

In a case whereby baseball game receives 3 raffle tickets and a $2 certificate for the team store. A group of people receives 39 raffle tickets the amount of money in certificates the group receive is  $26.

If one baseball game receives 3 raffle tickets and a $2 certificate for the team store, then we can say that each raffle ticket is worth 2/3 dollars ($2 divided by 3 tickets).

So, for 39 raffle tickets, the group would receive (39 x 2/3) = $26

Therefore, the amount of money in certificates the group receive is  $26

Learn more about money at:

https://brainly.com/question/329739

#SPJ1

Answer:

20:15:6

Step-by-step explanation:

As h is shown twice you need to make h the same in both ratios using a common factor ( make h 15)

Answer: I cant see the picture right. So im sorry i could not help :(

Step-by-step explanation: IM SOOO SORRY D:

Answer:

1. 4m + 2mp + 3p

2. 12r + 13pr + 24p

3. 6h^2 + 19h + 15

4. 20y^2 + 11y - 3

5. -9p^2 - 4mn + 6mp + 6np

Step-by-step explanation:

1. m(4 + p) + p(3+ m)

   4m + mp + 3p + mp

 4m + (mp + mp) + 3p

  4m + 2mp + 3p

2. 4r(3 + 4p) + 3p(8 -r)

  12r + 16pr + 24p + -3pr

  12r + (16pr - 3pr) + 24p

  12r + 13pr + 24p

3. (3 + 2h)(5 + 3h)

  3(5 + 3h) + 2h(5+3h)

  15 + 9h + 10h + 6h^2

  6h^2 + 19h + 15

4. (3 + 4y)(5y - 1)

  3(5y - 1) + 4y(5y - 1)

  15y - 3 + 20y^2 - 4y

  20y^2 + 11y - 3

5. (2n - 3p)(3p - 2m)

   2n(3p - 2m) + -3p(3p - 2m)

  6np - 4mn + -9p^2 + 6mp

  -9p^2 - 4mn + 6mp + 6np

Hope this helps!

Solutions :

\( \sf1. \quad\: m(4 + p) + p(3+ m)\)

\( \sf \dashrightarrow \quad\: 4m + mp + 3p+ mp\)

\(\sf \dashrightarrow \quad\: 4m + 2mp + 3p\)

⠀

\(\sf 2. \quad\: 4r(3 + 4p) + 3p(8 -r)\)

\(\sf \dashrightarrow \quad\: 12r+ 16rp + 24p -3pr\)

\(\sf \dashrightarrow \quad\: 12r+ 13rp + 24p \)

⠀

\(\sf 3. \quad\: (3 + 2h)(5 + 3h)\)

\(\sf \dashrightarrow \quad\: 3(5 + 3h) + 2h(5 + 3h)\)

\(\sf \dashrightarrow \quad\: 15 + 9h + 10h + {6h}^{2} \)

\(\sf \dashrightarrow \quad\: 15 + 19h + {6h}^{2} \)

⠀

\(4. \sf \quad\:(3 + 4y)(5y - 1)\)

\(\sf \dashrightarrow \quad\:  3(5y - 1) + 4y(5y - 1)\)

\(\sf \dashrightarrow \quad\: 15y - 3 + 20y^2 - 4y\)

\(\sf \dashrightarrow \quad\: 11y - 3 + {20}^{2} \)

⠀

\(5.\sf \quad\: (2n - 3p)(3p - 2m)\)

\(\sf \dashrightarrow \quad\:  2n(3p - 2m) +[-3p(3p - 2m)]\)

\(\sf \dashrightarrow \quad\: 6np - 4mn -9p^2 + 6mp\)

\(\sf \dashrightarrow \quad\: -9p^2 - 4mn + 6mp + 6np\)

Sorry to inform that I can't find the answer to this question.

Socratic can help! This learning app, powered by Google AI, helps you understand your school work at a high school and university level. Ask Socratic a question and the app will find the best online resources for you to learn the concepts.

Answer:

m∠B = 66.3°

a = 0.0319

b = 0.0726

Step-by-step explanation:

Sum of the interior angles of a triangle = 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 23.7 + m∠B + 90 = 180

⇒ m∠B = 180 - 90 - 23.7 = 66.3°

We can use the sine rule to help solve the missing side lengths.

Sine rule

\(\dfrac{a}{sin(A)}=\dfrac{b}{sin(B)}=\dfrac{c}{sin(C)}\)

where A, B and C are the angles and a, b and c are the side lengths opposite the angles.

Therefore,

\(\dfrac{a}{sin(23.7)}=\dfrac{b}{sin(66.3)}=\dfrac{0.0793}{sin(90)}\)

\(\implies a=\dfrac{0.0793}{sin(90)}\times sin(23.7)=0.031874458...=0.0319\)

\(\implies b=\dfrac{0.0793}{sin(90)} \times sin(66.3)=0.072612043...=0.0726\)

Answer:

36

Step-by-step explanation:

Answer: 5/2

Step-by-step explanation:

slope equation: (y2-y1)/(x2-x1)

13-3/5-1 = 10/4 or 5/2

Answer:

2.5

Step-by-step explanation:

Gradient (slope) =

\(m = \frac{y2 - y1}{x2 - x1} = \frac{13 - 3}{5 - 1} = \frac{10}{4} = 2 \frac{1}{2} \)

9.  The stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. The stamp duty payable on a property with a purchase price of K150,000 is K7,500.

To calculate the stamp duty payable on properties with a purchase price of K45,000 and K150,000, we need to apply the corresponding rates of stamp duty based on the given information.

Given:

Value of Property:

Up to K35,000: Stamp Duty Rate - 2%

K35,000 to K70,000: Stamp Duty Rate - 3%

K70,000 to K140,000: Stamp Duty Rate - 4%

Over K140,000: Stamp Duty Rate - 5%

9. Calculate the stamp duty payable on properties whose purchase price is K45,000:

Since the purchase price of K45,000 falls within the range of K35,000 to K70,000, the stamp duty rate applicable is 3%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K45,000 * 3%

= K45,000 * 0.03

= K1,350

Therefore, the stamp duty payable on a property with a purchase price of K45,000 is K1,350.

10. Calculate the stamp duty payable on properties whose purchase price is K150,000:

Since the purchase price of K150,000 is above K140,000, the stamp duty rate applicable is 5%.

Stamp Duty Payable = Purchase Price * Stamp Duty Rate

= K150,000 * 5%

= K150,000 * 0.05

= K7,500

Therefore, the stamp duty payable on a property with a purchase price of K150,000 is K7,500.

for such more question on property

https://brainly.com/question/29667212

#SPJ8

The angle 7 is the alternative interior angle to angle 2.

Given that,In the diagram a || bWe need to find the alternate interior angle to <2 .Alternate interior angles are the angles that are formed when a transversal crosses two parallel lines.

They are the angles that are on opposite sides of the transversal and inside the two parallel lines.

Thus, in the given diagram, the angle that is opposite to angle <2 and is inside the two parallel lines a and b is the alternate interior angle to angle <2.

We can see that the alternate interior angle to angle <2 is <7. Therefore, the alternate interior angle to angle <2 is <7.

To learn more about : angle

https://brainly.com/question/25770607

#SPJ8

When the inequality signs in the equations are reversed, the solution to the system of inequalities will change. In the original system, y > 2x + 2/3 and y < 2x + 1/3, the solution represents the region between two lines.

If we reverse the inequality signs to y < 2x + 2/3 and y > 2x + 1/3, the solution will now represent the region outside the lines. This means that the solution will be the area not covered by the lines themselves.

In summary, reversing the inequality signs in the equations will change the solution from the region between the lines to the region outside the lines.

For more questions on: inequality

https://brainly.com/question/30239213

#SPJ8

Approximately 37.5% of the data are greater than 28, 33.3% of the data are less than 23, 91.7% of the data are greater than 17.5, and 62.5% of the data are between 17.5 and 28.

To answer the questions, we can analyze the given data set.

First, let's count the number of data points that satisfy each condition:

Greater than 28:

There are 9 data points greater than 28 (29, 29, 29, 30, 29, 29, 28, 28, 28).

Less than 23:

There are 8 data points less than 23 (20, 18, 15, 17, 17, 15, 17, 19).

Greater than 17.5:

There are 22 data points greater than 17.5.

Between 17.5 and 28:

There are 15 data points between 17.5 and 28.

Now, let's calculate the approximate percentage for each condition:

Percent greater than 28:

The total number of data points is 24. Approximately, 9 out of 24 data points are greater than 28.

Percentage =\((9 / 24) \times 100 = 37.5\)%.

Percent less than 23:

Approximately, 8 out of 24 data points are less than 23.

Percentage = \((8 / 24) \times 100 = 33.3\)%.

Percent greater than 17.5:

Approximately, 22 out of 24 data points are greater than 17.5.

Percentage = \((22 / 24) \times 100 = 91.7\)%.

Percent between 17.5 and 28:

Approximately, 15 out of 24 data points are between 17.5 and 28.

Percentage = \((15 / 24) \times 100 = 62.5\)%.

For more such questions on data

https://brainly.com/question/30459199

#SPJ8

Answer:

c.40

plz mark brainliest if helpful

Answer:

90 degrees

Step-by-step explanation:

All trapazoids are equal to 360 degrees.

so we can make an equation 2x+x+x=360 (the other corner would also be x because its an unknown value)

to simplify, 4x=360

you divide into both sides (360/4)

you get 90

Answer:

40 years old.

Step-by-step explanation:

We can let Elga's age equal \(x\). Alvin's age can be equal to \(y\). We can make several equations from the information we know. We know that Elga's age plus five equal's Alvin's age.

\(x+5=y\)

We also know that the sum of their ages is 85.

\(x+y=85\)

We can substitute \(x+5\) for \(y\) in the second equation since \(x+5=y\), so we have the following equation:

\(x+(x+5)=85\)

We can combine like terms to get

\(2x+5=85\)

Subtracting 5 from both sides results in

\(2x=80\)

After that, we can divide both sides by 2 to get

\(x=40\)

Thus, Elga is 40 years old.

Answer:

e = 40

a=45

Step-by-step explanation:

a + e = 85

a = e+5

e + 5 + e = 85

2e = 80

e = 40

a=45

Answer:

g = 10

f = 21

Step-by-step explanation:

Given equations:

24 = g + 14

f - 9 = 12​

24 = g + 14

Subtract 14 from both sides

24 - 14 = g + 14 - 14

10 = g

g = 10

Check:

24 = g + 14

24 = 10 + 14

24 = 24

f - 9 = 12​

Add 9 to both sides

f - 9 + 9 = 12​ + 9

f = 21

Check:

f - 9 = 12​

21 - 9 = 12

Answer:

3.45

Step-by-step explanation:

you have to do tihis then that

Answer:

y equals to x plus 9

Step-by-step explanation:

-x+y=9

so, y=x+9