Add the linear expressions.

(−4x−2−x)+(2x−2)

What is the sum?

Enter your answer in the box.

branliest if correct

Answer:

koool

Step-by-step explanation:

r6ygtr

Answer:

kidding meee

Step-by-step explanation:

Doood you are kiding me

The solution is, 1) f+g =3x^3+x^2+2x-9 and, 2)  f+g = x^2-6x +2√(x-2)+17

Addition is a way of combining things and counting them together as one large group. ... Addition in math is a process of combining two or more numbers.

here, we have,

given that,

            g(x) = x^2+8x-9

so, f+g

=3x^3+x^2+2x-9

and,

             g(x)=2√(x-2)+10

so, f+g

= x^2-6x +2√(x-2)+17

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Answer:

its 18 and 20

Step-by-step explanation:

Answer:

18 & 20

Step-by-step explanation:

Forming the equation,

→ x + (x + 2) = 38

→ 2x + 2 = 38

Now the value of x will be,

→ 2x + 2 = 38

→ 2x = 38 - 2

→ x = 36/2

→ [ x = 18 ]

Then the required integers are,

→ x = 18

→ x + 2 = 18 + 2 = 20

Hence, the integers are 18, 20.

Answer:

∠

A

=

x

=

32

∘

∠

B

=

3

x

=

3

⋅

32

=

96

∘

∠

C

=

x

+

20

=

32

+

20

=

52

∘

Step-by-step explanation: Every triangle adds up to 180.

{(5, 2), (4, 2), (3, 2), (2, 2), (1, 2)}, {(−8, −3), (−6, −5), (−4, −2), (−2, −7), (−1, −4)} and {(−6, 4), (−3, −1), (0, 5), (1, −1), (2, 3)} are the sets of ordered pairs considered as a function.

{(−4, −2), (−1, −1), (3, 2), (3, 5), (7, 10)} is not a function.

In mathematics, ordered pair is a pair of numbers that are written in a specific order. They are generally written in (x, y) form. For example (3, 5) is an ordered pair.

The function can also be represented by a set of ordered pairs. A function Is a set of ordered pairs in which no two different ordered pairs have the same value of x coordinate.

Option (a) : {(5, 2),(4, 2),(3, 2),(2, 2),(1, 2)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (b) : {(-4, -2),(-1, -1),(3, 2),(3, 5),(7, 10)}

Two ordered pairs have the same value of x coordinate (3, 2) and (3, 5).

So, it can not be considered a function.

Option (c) : {(-8, -3),(-6, -5),(-4, -2),(-2, -7),(-1, -4)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Option (d) : {(-6, 4),(-3, -1),(0, 5),(1, -1),(2, 3)}

No two ordered pairs have the same value of the x coordinate.

So it is a function.

Therefore, Options (a), (c), and (d) are the functions.

Option (b) is not a function.

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Answer:

To find the perimeter and area of the square garden shed without graphing the coordinates, you can use the distance formula to calculate the length of one side of the square. The distance formula is d = √((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) and (x2, y2) are the coordinates of two points. Using this formula with the coordinates of two adjacent corners of the square, such as (-2,8) and (1,8), we find that the length of one side of the square is 3 units. Since all sides of a square are equal in length, the perimeter is 4 times the length of one side, or 12 units. The area of a square is equal to the length of one side squared, so the area of the square garden shed is 9 square units.

This problem is different from finding the perimeter and area of the base of a house because it involves a square shape rather than a more complex shape. However, you can use similar strategies to solve both problems by calculating distances between points and using geometric formulas to find perimeter and area. The specific formulas used may vary depending on the shape of the base of the house.

Step-by-step explanation:

angles on a straight line = 180

e + 8 + 3e - 4 = 180

4e + 4 = 180

4e = 176

e = 44

Answer:

e=44°

Step-by-step explanation:

(e+8°)+(3e-4)°=180°

e=44°

The equation of the line in slope-intercept form;

y = √3x + b.

A polar equation is any equation that expresses the relationship between r and theta, where r is the distance from the origin (pole) to a point on a curve and theta is the counterclockwise angle formed by a point on a curve, the pole, and the positive  x-axis.

Equation 1 is x = rcosθ

Equation 2 is y = rsinθ

The angle is.θ

The radius of a circle is r.

The slope from this angle is also determined by:

θ = tan⁻¹(y/x)

tan⁻¹ (π/3) = (y/x)

√3 Equals (y/x)

y = √3x

In mathematics, this formula yields the equation of the line in slope-intercept form;

y = √3x + b.

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I understand that the question you are for is:

Transform each polar equation to an equation in rectangular form.

A. theta=pi/3

Part I: Use the conversion rules to express x and y in terms of r. You should

have two equations after this step.

Part II:Use the ratio (y/x) to find the slope of the line defined by this

equation.

Part III: Write the equation of the line in slope-intercept form.

0.529 is the probability that a student does not have a college degree.

From the information given, we know that:

The formula for conditional probability:

P(A|B) = P(A and B) / P(B)

Let A be the event of not having a college degree, and B be the event of being married. We want to find P(A).

Using these values, we can calculate:

P(college degree and B) = (1/2) * (400/850) = 0.235

P(A and B) = 310/850 - 0.235 = 0.07

Finally, we can calculate P(A) using the formula for total probability:

P(A) = 1 - P(college degree)

= 1 - (400/850)

= 0.529

Therefore, the probability that a student does not have a college degree is 0.529.

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You have a total of six different ways to select a snack and a beverage at the amusement park.

To determine the number of different ways you can select a snack and a beverage, we can use the concept of combinations.

Let's analyze the options:

Snack: You can choose either a chili dog or popcorn. This gives us 2 choices for the snack.

Beverage: You can choose either lemonade, an energy drink, or water. This gives us 3 choices for the beverage.

To calculate the total number of combinations, we multiply the number of choices for the snack by the number of choices for the beverage. Therefore, the number of different ways to select a snack and a beverage is 2 (choices for snack) multiplied by 3 (choices for beverage), which equals 6.

In other words, there are six different combinations possible:

Chili dog and lemonade

Chili dog and energy drink

Chili dog and water

Popcorn and lemonade

Popcorn and energy drink

Popcorn and water

So, when considering all the options, you have a total of six different ways to select a snack and a beverage at the amusement park.

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The polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.

The polar form is represented with the aid of polar coordinates of real and imaginary numbers in the coordinate system.

The horizontal and the vertical axis of the polar form denote the real axis and the imaginary axis, respectively.

The given equation to polar form is;

\(\rm x^2+y^2=64\)

Using the formulae that link Cartesian to Polar coordinates.

x = rcosθ and y = rsinθ

Substitute these values into the equation.

\(\rm x^2+y^2=64\\\\(rcos\theta)^2+(rsin\theta)^2=64\\\\r^2cos^2\theta +r^2sin^2\theta =64\\\\r^2(cos\theta^2+sin\theta^2)=64\\\\Where ; \ sin^2\theta + cos^2\theta=1\\\\r^2(1)=64\\\\ r^2=8^2\\\\r=8\)

Hence, the polar form of the equation represents all the points with a distance of 8 from the origin, which is a circumference with a radius of 8, centered on the origin.

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The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds.  Therefore, the total edible tenderloin in pounds is 3.86155 pounds.

The total weight of the whole tenderloin is given to be 2.5 kg.The weight of the fat, sinew, and trimming to be taken out from the whole tenderloin is given to be 1.65 pounds.

To calculate the total edible tenderloin in pounds, we need to convert the weight of whole tenderloin from kg to pounds.

1 kilogram (kg) = 2.20462 pounds (lbs)

Therefore,2.5 kg = 2.5 x 2.20462 = 5.51155 lbs We are given that 1.65 pounds of fat, sinew, and trimming need to be taken out from the whole tenderloin.

So, the total edible tenderloin in pounds = 5.51155 - 1.65= 3.86155 pounds

Therefore, the total edible tenderloin in pounds is 3.86155 pounds.

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The formula A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 is used to find the area of a parallelogram whose vertices are given. The vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0). The area of the parallelogram is 11/2 square units.

To find the area of a parallelogram whose vertices are given, we use the formula

A = | ax (by - cy) + bx (cy - ay) + cx (ay - by) | / 2 .

Here, ax and ay are the x and y coordinates of vertex A, bx and by are the x and y coordinates of vertex B, and cx and cy are the x and y coordinates of vertex C. Given the vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0).We will use the above formula to find the area of the parallelogram.

Area = |(-2(3)-0(1)+1(0)) + (0(0)-3(-1)+(-1)(-2))|/2

=|(-6+0+0)+ (0+3+2)|/2

=11/2 square units.

Hence, the area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

Therefore, the answer is: The area of the parallelogram whose vertices are (-2, 0), (0, 3), (1, 3), and (-1, 0) is 11/2 square units.

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Answer:

45915930

Step-by-step explanation:

The easiest way to multiply numbers up to a thousand would be to break it apart, if multiplying a thousand by a thousand is hard.

You can do that by taking a number, we can use 4,915 in this case, and break it into pieces.

4,915 = 4,000 + 900 + 10 + 5

Now using this, we can multiply 9,342 by these numbers.

9,342 × 4,000 = 37,368,000

9,342 × 900 = 8,407,800

9,342 × 10 = 93,420

9,342 × 5 = 46,710

Now just add them together!

37,368,000 + 8,407,800 + 93,420 + 46,710 = 45915930

The answer is 45915930

Answer:

0 real roots

Step-by-step explanation:

Given a quadratic equation in standard form

ax² + bx + c = 0 ( a ≠ 0 )

Then the discriminant is

Δ = b² - 4ac

• If b² - 4ac > 0 then 2 real and distinct roots

• If b² - 4ac = 0 then 2 real and equal roots

• If b² - 4ac < 0 then the roots are not real

- 9x² + x - 7 = 0 ← is in standard form

with a = - 9, b = 1, c = - 7 , then

b² - 4ac = 1² - (4 × - 9 × - 7) = 1 - 252 = - 251

Since b² - 4ac < 0 then the equation has no real roots

The XYZ corporation will receive $1500000 for all the shares sold.

A single unit's value can be determined from the values of multiple units, and multiple units' values can be determined from the values of single units using the unitary method.

Now,

Given: Cost of 1 share = $15

To find: Money received on selling 100000 shares.

Finding:

By unitary method,

Money received on selling 1 share = $15

Money received on selling 100000 shares = 15(100000) = $1500000

Hence, The XYZ corporation will receive $1500000 for all the shares sold.

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Answer:

500*2%=10

500+10=510

Step-by-step explanation:

The missing lengths are:

AB= 7.211 unit

CD = 5.83 unit

EF = 10.77 unit

GH = 6.088 unit

Using Pythagoras Theorem we get

AB² = 6² + 4²

AB² = 36 + 16

AB² = 52

AB= 7.211

Again, CD²= 5² + 3²

CD² = 25 + 9

CD = 5.83

Again, EF² = 10² + 4²

EF² = 100 + 16

EF² = 116

EF = 10.77

and, GH² = 6² + 1²

GH² = 36 + 1

GH² = 37

GH = √37

GH= 6.088

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Absolute values are non-negative value of a number. it can denote the distance of a number from zero

Answer:

(x-5)^2/36 + (y+3)^2/36=1

Step-by-step explanation:

Use the standard form to find the center, (h, k)

To find an adjacent angle and opposite angles, we need to look at the position of the angles in relation to each other.

An adjacent angle is an angle that is directly next to another angle and shares a common side. An opposite angle is an angle that is directly across from another angle and does not share a common side.

For example, if we have a quadrilateral with angles A, B, C, and D, angle A would be adjacent to angles B and D, and opposite to angle C. Similarly, angle B would be adjacent to angles A and C, and opposite to angle D.

So to find an adjacent angle, look for an angle that shares a common side with the given angle. To find an opposite angle, look for an angle that is directly across from the given angle and does not share a common side.

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Therefore, the derivative of function is

f'(x) = { 1/2, - 4 ≤ x < 0

         { - 1/2, 0 ≤ x ≤ 4

When x ∈ [- 4, 0]

Slope of function = (3 - 1)/(0 - (-4))

= 2/4

= 1/2

When x ∈ [0, 4]

Equation of line

(y - 3) = 1/2(x - 0)

y = 1/2x + 3

Slope of function = (3 - 1)/(0 - 4)

= 2/(- 4)

= - 1/2

Equation of line

(y - 3) = - 1/2(x - 0)

y = - 1/2x + 3

So, f(x) = { 1/2 x + 3, - 4 ≤ x < 0

              { - 1/2x + 3, 0 ≤ x ≤ 4

f'(x) = { 1/2, - 4 ≤ x < 0

         { - 1/2, 0 ≤ x ≤ 4

f'(0)⁺ ≠ f(0)⁻

Therefore f'(0) does not exist

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The given question is incomplete, the complete question is below

a graph of y = f ( x ) is shown. in the same coordinate system, sketch a graph of the derivative function y = f ' ( x ) over the interval [ − 4 , 4 ] .

Answer:

b

Step-by-step explanation:

Answer:

3a=6-3

Step-by-step explanation:

if you have the equation 3a + 3 = 6, you have to move 3 to the other side of the equation to isolate it. To do this, you subtract 3 from both sides giving you 3a=6-3

Hope this helped

Answer:

85 degrees

Step-by-step explanation:

The sum of the angles in a quadrilateral always add up to 360 degrees.

let x be the measure of angel J

\(x + 109+ 122+44=360\\x+ 275=360\\x = 85\)

If 1 in 100 people genuinely use the drug, then the likelihood that someone will have a false positive test is 0.05, or 5%.

To solve this problem using a two-way frequency table, we can organize the information as follows:

               | Actual drug user | Not actual drug user |

----------------|-----------------|----------------------|

Positive result |                 |                      |

----------------|-----------------|----------------------|

Negative result |                 |                      |

----------------|-----------------|----------------------|

We know that 1% of the population actually uses the drug, so we can fill in the first column:

               | Actual drug user | Not actual drug user |

----------------|-----------------|----------------------|

Positive result |                1% |                      |

----------------|-----------------|----------------------|

Negative result |               99% |                      |

----------------|-----------------|----------------------|

We also know that the drug test is 95% accurate, which means that it correctly identifies drug users (true positives) 95% of the time, and it incorrectly identifies non-users as drug users (false positives) 5% of the time. We can fill in the first row based on this information:

               | Actual drug user | Not actual drug user |

----------------|-----------------|----------------------|

Positive result |               95% |                    5%|

----------------|-----------------|----------------------|

Negative result |               99% |                   95%|

----------------|-----------------|----------------------|

To find the probability that someone receives a false positive result (i.e., they are not an actual drug user but the test indicates that they are), we need to look at the proportion of the population that is not an actual drug user and receives a positive result. This is given by the entry in the top right corner of the table, which is 5%. Therefore, the probability of a false positive result is 0.05 or 5%.

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It would take the automated car wash 20 hours to wash 120 cars.

What is rate ?

In general, a rate is a measure of how much of something happens within a certain period of time. It can be thought of as a ratio that compares two different units of measurement.

In the context of the problem, the rate at which the automated car wash can wash cars is the number of cars that it can wash per unit of time.

The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.

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The rate at which the automated car wash can wash cars is 30 cars per 5 hours. To find out how long it would take to wash 120 cars, we can use the formula:

Time = (Number of cars / Rate)

Time = (120 cars / 30 cars per 5 hours)

Time = (120/30) * 5 hours

Time = 20 hours

So it would take the automated car wash 20 hours to wash 120 cars.