Graph the functions f(x) = -6x+2 and g(x) =-2^x^+^2 + 6 whst are the solutions of the equation -6x+2=-2^x^+^2 +6

Answers

Answer 1

The solution of the system of equation -6x + 2 = -2^{x + 2} + 6 is equal to the ordered pair (0, 2).

How to graph the solution to this system of inequalities?

In order to to graph the solution to the given system of equations on a coordinate plane, we would use an online graphing calculator to plot the given system of equations and then take note of the point of intersection;

f(x) = -6x + 2 ......equation 1.

g(x) = -2^{x + 2} + 6 ......equation 2.

Based on the graph (see attachment), we can logically deduce that the solution to the given system of equations is the point of intersection of the lines on the graph representing each of them, which lies in Quadrant I and it is given by the ordered pair (0, 2)

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Graph The Functions F(x) = -6x+2 And G(x) =-2^x^+^2 + 6 Whst Are The Solutions Of The Equation -6x+2=-2^x^+^2

Related Questions

A volleyball is bumped straight up, from 3 m above the ground, with a velocity of 14 meters per second. When does the ball hit the ground?
The equation for the balls height (in meters) is h=-5t^2+14t+3 where t is time in seconds.
(Please let me know if I did it wrong, and explain please)

Answers

The function table representing the numerical values is given below.

What is a function?

An function in mathematics defines a relationship between one variable (the independent variable, x) and another variable (the dependent variable, y). Example -

y = f{x} = ax + b

Given is a function as -

h = -5t² + 14t + 3

We can write the complete table as -

time {sec} height {m}

-2 - 5 x 4 + 14 x - 2 + 3 = - 45

-1 - 5 x 1 + 14 x - 1 + 3 = - 16

-0 - 5 x 0 + 14 x 0 + 3 = 3

1 - 5 x 1 + 14 x 1 + 3 = 12

2 - 5 x 4 + 14 x 2 + 3 = 11

3 - 5 x 9 + 14 x 3 + 3 = 0

4 - 5 x 16 + 14 x 4 + 3 = - 21

-5 - 5 x 25 + 14 x 5 + 3 = - 52

Therefore, the function table representing the numerical values is given above.

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Consider the graph of the system of equations. What number of solutions, if any, does this system have? Justify your response.

Answers

they don’t have any solutions; the lines are parallel to each other and don’t intersect at any point.

Divide. (54t2−81t)÷(9t)

Answers

Answer:

The answer is 6t-9. This can be calculated by dividing the numerator (54t2−81t) by the denominator (9t). This gives 6t-9.

Step-by-step explanation:

Answer:

81t2+16

Step-by-step explanation:

(9t-4)(-9t-4) : Equation

Distribute parentheses using:(a + b)(c + d) = ac + ad + bc + bd.

Where : a=9t, b=-4, c=-9t, d=-4.

This leads to 9t(-9t) +9t (-4) -4- (9t) -4 (-4).

Now we have to Apply minus-plus rule.

Where: -(-a)=a.+(-a)=-a

-9t.9t - 9t.4 + 4.9t = 4.4

=81t2+16

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A medical study is conducted to determine which migraine treatment, A or B, provides faster relief. The study uses 10 volunteers who claim to suffer from migraines. Half of the volunteers are randomly assigned to use treatment A when they experience their first migraine. The other half are assigned to use treatment B. Then, after no treatment for one month, the treatments are reversed. The volunteers each record the amount of time it takes, in minutes, to experience relief from their migraine under each treatment. The data are displayed in the table. A 3-column table with 10 rows. Column 1 is labeled volunteer with entries 1, 2, 3, 4, 5, 6, 7, 8, 9, 10. Column 2 is labeled Treatment A with entries 10, 13, 13, 9, 13, 12, 14, 10, 8, 7. Column 3 is labeled Treatment B with entries 19, 18, 19, 15, 20, 16, 16, 16, 13, 17. What is the mean difference (A – B) and the standard deviation of the differences?

Answers

I think that it could be b but I'm not 100 percent sure

Please solve for in this equation

Answers

Answer:

x = 4 rounded to the nearest whole number (actually 4.0801)

Step-by-step explanation:

The triangle formed by the sides of length 0.9x, 2.8x and 12 form a right triangle with the side of length 12 as they hypotenuse

By the Pythagorean theorem

c² = a² + b² where c = hypotenuse, a and b being the other two sides

Plugging in values we get

12² = (0.9x)² + (2.8x)²

144 = 0.81x² + 7.84x² = 8.65x²

Switching sides:

8.65x²= 144

x² = 144/8.65 = 16.6473

x = √16.6473= 4.0801

Rounded to the nearest integer, x = 4

George is standing on the top of a 275 ft building. He throws a ball straight up into the air. The ball's initial velocity is given as 48 ft/sec. The height, in feet, of the ball after t seconds is given by &=-16+48 +275. How long will it take for the ball to reach its maximum height above the ground? seconds What is the maximum height that the ball reaches? feet

Answers

The maximum height attained by the ball is 311 feet and it takes approximately 1.5 seconds to get there

What is the Maximum Height attained

To find the time at which the ball reaches its maximum height, we need to find when its velocity is equal to 0. We can find the velocity at any time by taking the derivative of the height function, f(x). So, f'(x) = -32x + 48. Setting f'(x) = 0, we get:

f'(x) = -32x + 48 = 0

32x = 48

x = 1.5

So it takes 1.5 seconds for the ball to reach its maximum height.

b. To find the maximum height, we substitute t = 1.5 back into the height function, f(x):

f(1.5) = -16(1.5)^2 + 48(1.5) + 275

f(1.5) = -16(2.25) + 72 + 275

f(1.5) = -36 + 72 + 275

f(1.5) = 36 + 275

f(1.5) = 311 ft

Therefore, the maximum height the ball reaches is 311 feet.

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What is the converse of the statement below?
x⇒y
O A. y⇒ x
OB. ¬y⇒¬x
X
O C. ¬x⇒y
O D. ¬x⇒¬y

Answers

The converse of the statement x⇒y is y⇒ x, So correct option is A.

What do you mean by converse statement?

A converse statement is a type of logical statement in mathematics that takes a conditional statement and switches its hypothesis and conclusion. The converse of a statement is formed by interchanging the hypothesis and conclusion of the original statement. In other words, the converse of a statement takes the form "If B, then A," whereas the original statement takes the form "If A, then B."

For example, consider the statement "If it rains, then the roads are wet." The converse of this statement would be "If the roads are wet, then it rains." It's important to note that the converse of a statement may not always be true, even if the original statement is true.

In mathematical proofs, a converse statement can sometimes be used to support a proof, but it is not always reliable on its own. This is because the converse of a statement only establishes a logical relationship between two statements if both the original statement and its converse are true. If either the original statement or its converse is false, then the converse cannot be used to make a conclusion about the relationship between the two statements.

In conclusion, a converse statement is a type of logical statement that takes a conditional statement and switches its hypothesis and conclusion. It's important to note that the converse of a statement may not always be true, and its validity depends on the validity of both the original statement and its converse.

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HELPP WITH ALL 4 OF THESE ? PLEASE!! each is worth 10 points!!

Answers

Answer: 1.+900

2. -24

3. -5

4. +10

Step-by-step explanation:

Please help me with this I don't understand it Find the value of x (5w+20) 3w 4x (3a+2b)

Answers

The value of x is 30°

How to find the value of x?

Angle geometry is a branch of mathematics that deals with the study of angles and their properties in two-dimensional figures such as circles, triangles, and polygons.

(5w+20)° + 3w° = 180° (sum of angles on a straight line is 180° )

5w +20 + 3w = 180

8w + 20 = 180

8w = 180 - 20

8w = 160

w = 160/8

w = 20°

3w° + 4x° = 180° (sum of angles on a straight line is 180° )

3w + 4x = 180

Put w = 20 and solve for x:

3(20) + 4x = 180

60 + 4x = 180

4x = 180 - 60

4x = 120

x = 120/4

x = 30°

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3) Decide if each of the following statements are true or false. If true, give a mathematical explanation. If false, give a counterexample.

a) If a quadrilateral is a square, then it is a rectangle.

b) If a quadrilateral has a pair of parallel sides, then it must have a pair of opposite
sides that are congruent.

c) If the diagonals of a quadrilateral are perpendicular to each other, then the
quadrilateral is a rhombus.

d) If a quadrilateral has one right angle, then all of its angles must be right angles.

e) Write the converse of each of the statements in a)–d) above. Which is true?

f) Write the contrapositive of each of the statements in a)-d) above. Which is true?

Answers

The required statements are true or false, are below in the solution part.

What is a square?

A square is defined as a polygon that has four sides and is a closed, two-dimensional (2D) object. A square has equal and parallel sides on all four sides.

a) True. If a quadrilateral is a square, then it has four equal sides and four right angles. By definition, a rectangle also has four right angles, so a square is also a rectangle.

b) False. A counterexample is a parallelogram, which has a pair of parallel sides but does not have a pair of opposite sides that are congruent.

c) False. A counterexample is a rectangle, which has perpendicular diagonals but is not a rhombus, which is defined as a quadrilateral with four equal sides.

d) False. A counterexample is an isosceles trapezoid, which has one right angle but not all angles are right angles.

e) Converse of a) - If a quadrilateral is a rectangle, then it is a square. This is false, as there are rectangles that are not squares.

The converse of b) - If a quadrilateral has a pair of opposite sides that are congruent, then it must have a pair of parallel sides. This is true.

The converse of c) - If a quadrilateral is a rhombus, then its diagonals are perpendicular to each other. This is true.

The converse of d) - If all angles of a quadrilateral are right angles, then it has one right angle. This is false, as a square has four right angles but only one of them can be considered "one right angle".

f) Contrapositive of a) - If a quadrilateral is not a square, then it is not a rectangle. This is true.

The contrapositive of b) - If a quadrilateral does not have a pair of parallel sides, then it does not have a pair of opposite sides that are congruent. This is true.

The contrapositive of c) - If a quadrilateral's diagonals are not perpendicular to each other, then it is not a rhombus. This is true.

The contrapositive of d) - If a quadrilateral does not have one right angle, then all of its angles must not be right angles. This is true.

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List the sample space for rolling a fair seven-sided die.

S = {1, 2, 3, 4, 5, 6, 7}
S = {1, 2, 3, 4, 5, 6, 7, 8}
S = {1}
S = {7}

Answers

The sample space for rolling a fair seven-sided die is the one on the first option.

S= {1, 2, 3, 4, 5, 6, 7}

What is the sample space?

For any experiments with some given outputs, the sample space is the set of the possible outputs.

For example, for a coin with two outputs (heads and tails) the sample space is just {head, tails}

Particularly, for a fair seven-sided die we have 7 possible outputs, which are all the whole numbers from 1 to 7, then the sample space for that die is:

S= {1, 2, 3, 4, 5, 6, 7}

So the correct optionis the first one.

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Answer:

The sample space for rolling a fair seven-sided die is the one on the first option.S= {1, 2, 3, 4, 5, 6, 7}

Step-by-step explanation:

that's it simple

1. The total cost y of an amusement park membership and the number an

merpret can be represented with Park meratior y= 15x + 20. Find and interpret the rate of change and initial value. (Example 1)
please provide an explanation on how to do it

Answers

The equation y = 15x + 20 means that the registration fee is $20 and $15 is charged per month

What is an equation?

An equation is an expression showing the relationship between two or more numbers and variables. An equation can either be linear, quadratic, cubic and so on depending on the degree.

The standard form of a linear equation is:

y = mx + b

Where m is the rate of change and b is the y intercept

Let y represent the total cost of an amusement park membership for x number of months

Given that:

y = 15x + 20

Therefore the rate of change is $15 per month and the initial fee is $20. This means that the registration fee is $20 and $15 is charged per month

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Please use the law of sines to show me how to solve the triangle please. Thank you .

Answers

Angles in a triangle add to [tex]180^{\circ}[/tex].

[tex]\angle B=180^{\circ}-115.5^{\circ}-27.2^{\circ} \longrightarrow \boxed{\angle B=37.3^{\circ}}[/tex]

Using the Law of Sines:

[tex]\frac{AC}{\sin 37.3^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{AC=\frac{76\sin 37.3^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}[/tex]

[tex]\frac{BC}{\sin 27.2^{\circ}}=\frac{76.0}{\sin 115.5^{\circ}}\\\\\boxed{BC=\frac{76\sin 27.2^{\circ}}{\sin 115.5^{\circ}} \text{ ft}}[/tex]

sin(A) / a = sin(B) / b = sin(C) / c

where A, B, and C are the angles of the triangle, and a, b, and c are the lengths of the sides opposite those angles.

If a figure is dilated by a factor of 3, the sides of the pre-image will be _ of the image's sides.

A. one-ninth the size
B. one-third the size
C. nine times the size
D. three times the size

Answers

I think it might be C

Apply
14. The table shows the record high temperature, in degrees
Fahrenheit (°F) or degrees Celsius (°C), of certain states. The
formula F = 1.8C + 32 can be used to convert between degrees
Celsius and degrees Fahrenheit. What is the difference, in
degrees Celsius, between Nevada's record high temperature
and Alaska's record high temperature? Round to the nearest
tenth.
State
Alaska
Florida
Nevada
Texas
Record High
Temperature
38°C
109°F
125°F
49°C

Answers

49°C - 38°C = 11°C
the difference between Nevada's record high temperature and Alaska's record high temperature is 11°C, rounded to the nearest tenth.

Q9 PLEASE HELP ASAP I ONLY HAVE 5 MIN

Answers

Answer: y=5x+2

Step-by-step explanation: I answered this question already, I believe.

The solution is in the attachment!!

When you arrive at the family reunion, Uncle Ignacio has already eaten 9 mini hot dogs. He continues to eat them at a rate of 4 hot dogs per minute. y = 4x + 9 models this situation. Make a graph of this situation.

Answers

Answer:

Step-by-step explanation:

y=mx + b where b= y intercept(when x=0) and m= slope(rise/run)

so there is a slope of 4 and a y intercept of 9

so starting from 9, you go up 4, and to the right 1. and that just repeats till you're satisfied.

Nixon watches a movie with his friends. they watch 50% of the movie and take a break. they then watch the remaining 65 minutes. how long was the movie?

Answers

Answer:

130 minutes

Step-by-step explanation:

We know

They watch 50% of the movie and take a break; they watch the remaining 65 minutes later.

So, to find it, we take

65 x 2 = 130 minutes

So, the movie was 130 minutes long.

If f(x) = x² + 3x - 5, find the value of f(3).

Answers

Hey there!

[tex]\huge\textbf{Assuming:}[/tex]

[tex]\mathsf{f(x) = x^2 + 3x - 5}[/tex]

[tex]\mathsf{f(x) = 3^2 + 3(3) - 5}[/tex]

[tex]\mathsf{f(x) = 3 \times 3 + 9 - 5}[/tex]

[tex]\mathsf{f(x) = 9 + 9 - 5}[/tex]

[tex]\mathsf{f(x) = 18 - 5}[/tex]

[tex]\mathsf{f(x) = 13}[/tex]

[tex]\huge\text{Therefore your answer should be:}[/tex]

[tex]\mathsf{f(x) = 13}[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Laura is the fund raising manager for a local charity she is ordering caps for an upcoming charity walk. The company that makes the caps chargers $6 per cap plus a $25 shipping fee . Laura had buaght of $1000 WhT is the greatest number of caps she can buy?

Answers

the maximum number of caps she can order is 162.

What is inequality?

In mathematics, inequalities specify the connection between two non-equal numbers. Equal does not imply inequality. Typically, we use the "not equal sign ()" to indicate that two values are not equal. But several inequalities are utilized to compare the numbers, whether it is less than or higher than.

Given, Laura is the fundraising manager for a local charity she is ordering caps for an upcoming charity walk.

Let "x" be the number of caps she ordered.

Since, manufacturing cost for a cap = $6

shipping charges for the lot = $25

Thus,

Total price she paid for x caps = 6*x + 25

Since she had only 1000$

So,

6x + 25 ≤ 1000

6x ≤ 975

x ≤ 975/6

x ≤ 162.5

therefore, the maximum number of caps she can order is 162.

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60 POINTSSSS!!!!!!
BUT ONLY ANSWER CORRECTLY!
what is the amplified the sinusoidal function? enter your answer in the box.

Answers

The amplification of the sinusoidal function will be 4 times.

What is a function?

A function is an assertion, concept, or principle that establishes an association between two variables. Functions may be found throughout mathematics and are essential for the development of significant links.

The graph of the sinusoidal function is shown below.

The amplification of the function is given as,

A = Range / 2

A = (1 - (-7)) / 2

A = 8 / 2

A = 4

The amplification of the sinusoidal function will be 4 times.

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Mario has 5 gallons of paint. He uses 1/4 gallon to paint a door. He uses 3/8 gallon to paint a wall. How much paint does Mario have left?

Answers

After Mario paints, he has 4 3/8 gallons of paint left.

A manufacturer can produce printer paper at a cost of $2 per ream. The paper has been
selling for $5 per ream, and at that price, consumers have been buying 4,000 reams a month.
The manufacturer is planning to raise the price of the paper and estimates that for each $1
increase in the price, 400 fewer reams will be sold each month. Express the manufacturer’s
monthly profit as a function of the price at which the reams are sold.

Answers

Answer:

Let x be the price per ream in dollars. Then, the manufacturer's profit per ream sold is (x - $2).

The manufacturer estimates that for each $1 increase in the price, 400 fewer reams will be sold each month. Thus, the number of reams sold can be expressed as 4000 - 400(x - $5) reams per month.

The manufacturer's total monthly profit is given by the product of the number of reams sold and the profit per ream, so it can be expressed as:

P(x) = (4000 - 400(x - $5)) * (x - $2)

So the monthly profit as a function of the price per ream is:

P(x) = 4000x - 8000 - 400x^2 + 2000x + 8000

This is a quadratic equation and its maximum value can be found using techniques from algebra or calculus.

Step-by-step explanation:

ABOVE

Let x be the price per ream in dollars. Then the manufacturer's monthly revenue is given by x times the number of reams sold, which is given by 4000 - 400(x - 5).
The monthly cost is $2 per ream times the number of reams produced, which is given by 4000.
Therefore, the manufacturer's monthly profit as a function of the price x is given by:

Profit = x * (4000 - 400(x - 5)) - 2 * 4000 = 4000x - 400x^2 + 8000 - 8000 = -400x^2 + 4800x - 8000

So the profit is a quadratic function of the price x, with a maximum value at the price that maximizes the profit

Given a2 = 6 and a5 = –384 of a geometric sequence, what is the recursive equation for the nth term?

an = –4(an – 1), a1 = –1.5
an = –4(an – 1), a1 = 1.5
an = 4(an – 1), a1 = –1.5
an = 4(an – 1), a1 = 1.5

Answers

Answer:

[tex]a_n = (-4)^{n - 1}; a_1 = -1.5[/tex]

Step-by-step explanation:

[tex] a_1 = a_1 [/tex]

[tex] a_2 = a_1 \times r [/tex]

[tex] a_3 = a_1 \times r^2 [/tex]

[tex] a_4 = a_1 \times r^3 [/tex]

[tex] a_5 = a_1 \times r^4 [/tex]

[tex] a_1 \times r = 6 [/tex]

[tex] a_1 \times r^4 = -384 [/tex]