set up and solve a quadratic equation to work out the value of x

Answer:

Step-by-step explanation:

Answer: the answer  is D i just did that

Step-by-step explanation:

sidessidesGiven equation is,

Now, solving the given equation,

So, the required solution is,

Squaring both side we get,

Answer:

Option D

Step-by-step explanation:

Option D is not proper scientific notation, as the exponent is not on the 10

Rewrite 0.5% as a decimal by moving the decimal point 2 places to the left:

0.5% = 0.005

Multiply quantity by the decimal:

20,000 x 0.005 = 100 would be broken

20,000-100 = 19,900 would not be broken

The three solutions to the linear equation are (0, -2), (1, 1) and (2, 4)

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

The linear equation is given as

g(x) = 3x - 2

To determine the solution to the linear equation, we set the value of x to some values

say x = 0, 1 and 2

Substitute x = 0, 1 and 2 in g(x) = 3x - 2

g(0) = 3(0) - 2 = -2

g(1) = 3(1) - 2 = 1

g(2) = 3(2) - 2 = 4

Hence, the three solutions to the linear equation are (0, -2), (1, 1) and (2, 4)

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Yes, the deviation is greater than it was in tossing them 40 times.

A standard deviation (or σ) is a measure of how widely distributed the data is in reference to the mean. A low standard deviation suggests that data is grouped around the mean, whereas a large standard deviation shows that data is more spread out.

Given:

n= 400 trials

Tossing 2 coins 400 times gives 800 trials

so, \(\sigma_1\)² = np(1- p)

        = 800 x 1/2 x 1/2

      \(\sigma_1\)  = √200

      \(\sigma_1\) = 10√2

Now, n=40

and,  \(\sigma_2\)² = np(1- p)

        = 80 x 1/2 x 1/2

      \(\sigma_2\)  = √20

      \(\sigma_2\) = 2√5

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Answer:

19) The square root of 35 with one digit decimal accuracy is 5.9.

21) The sqrt. of 61 to the nearest integer is 8!

Step-by-step explanation:

take the square roots around 61.

the square root of 8 is 64,

the square root of 7 is 49.

61 is closer to 64.

Integers cannot be fractions, so the answer of 7.8 is rounded up to 8! (This Is For Number 21)am not really that sure about number 19

Answer:

Alex spends more time 2/5 of 100 is 40%

Answer: the first thing is your answer :)

thx for the points

Step-by-step explanation:

g

(

x

)

=

x

2

−

3

The parent function is the simplest form of the type of function given.

f

(

x

)

=

x

2

The transformation being described is from

f

(

x

)

=

x

2

to

g

(

x

)

=

x

2

−

3

.

f

(

x

)

=

x

2

→

g

(

x

)

=

x

2

−

3

The horizontal shift depends on the value of

h

. The horizontal shift is described as:

g

(

x

)

=

f

(

x

+

h

)

- The graph is shifted to the left

h

units.

g

(

x

)

=

f

(

x

−

h

)

- The graph is shifted to the right

h

units.

In this case,

h

=

0

which means that the graph is not shifted to the left or right.

Horizontal Shift: None

The vertical shift depends on the value of

k

. The vertical shift is described as:

g

(

x

)

=

f

(

x

)

+

k

- The graph is shifted up

k

units.

g

(

x

)

=

f

(

x

)

−

k

- The graph is shifted down

k

units.

Vertical Shift: Down

3

Units

The graph is reflected about the x-axis when

g

(

x

)

=

−

f

(

x

)

.

Reflection about the x-axis: None

The graph is reflected about the y-axis when

g

(

x

)

=

f

(

−

x

)

.

Reflection about the y-axis: None

Compressing and stretching depends on the value of

a

.

When

a

is greater than

1

: Vertically stretched

When

a

is between

0

and

1

: Vertically compressed

Vertical Compression or Stretch: None

Compare and list the transformations.

Parent Function:

f

(

x

)

=

x

2

Horizontal Shift: None

Vertical Shift: Down

3

Units

Reflection about the x-axis: None

Reflection about the y-axis: None

Vertical Compression or Stretch: None

image of graph

Answer:

Step-by-step explanation:

14in + 16in + 16in = 46in

all you do is add the numbers to get the total.

By answering the presented question, we may conclude that Therefore, triangle the measure of BCD is 120°.

A triangle is a closed, double-symmetrical shape composed of three line segments known as sides that intersect at three places known as vertices. Triangles are distinguished by their sides and angles.

Triangles can be equilateral (all factions equal), isosceles, or scalene based on their sides.

Triangles are classified as acute (all angles are fewer than 90 degrees), good (one angle is equal to 90 degrees), or orbicular (all angles are higher than 90 degrees) (all angles greater than 90 degrees).

The region of a triangle may be calculated using the formula A = (1/2)bh, where an is the neighbourhood, b is the triangle's base, and h is the triangle's height.

Since triangle ABC is isosceles with AB = BC, angles A and C are also equal to each other. Let x be the measure of angles A and C. Then we have:

angle A + angle B + angle C = 180° (sum of angles in a triangle)

x + 60° + x = 180°

2x + 60° = 180°

2x = 120°

x = 60°

So angles A and C each measure 60°, making triangle ABC an equilateral triangle.

Now, angle BCD is an exterior angle of triangle ABC. By the Exterior Angle Theorem, the measure of angle BCD is equal to the sum of angles A and C:

angle BCD = angle A + angle C = 60° + 60° = 120°

Therefore, the measure of BCD is 120 degrees.

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There are 2520 possible ways to arrange the programs

From the question, we have

Total number of jockey records, n = 7

Total number of disc jockey records to select, r = 5

To determine the ways the program can be arranged, we make use of permutation

The number of ways of selection could be drawn is calculated using the following permutation formula

Total = ⁿPᵣ

Where

n = 7 and r = 5

Substitute the known values in the above equation

So, we have the following representation

Total = ⁷P₅

Apply the permutation formula

ⁿPᵣ = n!/(n - r)!

So, we have

Total = 7!/2!

Evaluate

Total = 2520

Hence, the number of ways is 2520

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Answer:

\(10m + 4\)

Step-by-step explanation:

Distribute.

3(+6) + 7(−2)

3 + 18 + 7(−2)

Distribute again.

3 + 18 + 7(−2)

3 + 18 + 7−14

Subtract the numbers.

3 + 18 + 7−14

3 + 4 + 7

Combine like terms.

3 + 4 + 7

10 + 4

Answer:

D

Step-by-step explanation:

I do not know if I am right.

Answer:

50.24 mm^2

Step-by-step explanation:

The area of a circle is given by

A = pi r^2  where r is the radius

A = 3.14 ( 4)^2

   = 50.24 mm^2

Answer:

c. 50.24 square millimeters

Step-by-step explanation:

Radius of circle = 4 milimeters.

Area of a circle = πr²

Area = 3.14 × 4² (π = 3.14)

= 50.24 square millimeters

Answer:

 strong postive

Step-by-step explanation:

Answer

First Table - Yes

Second Table - Yes

Third Table - No

Fourth Table - No

Explanation

Finding rates in the form of miles per minute is done by dividing the given miles covered by the corresponding minutes taken.

Since the rates are constant for each of the tables, we can just use one datapoint to calculate the rate for each of the tables.

First Table

Using the first datapoint

Miles covered = (3/6) = (1/2) mile

Time = (1/3) minute

Rate = (1/2) ÷ (1/3) = (1/2) × (3/1) = (3/2) = 1.5 miles per minute

So, Yes, this rate is greater than 1 mile per minute.

Second Table

Using the first datapoint

Miles covered = (12/12) = 1 mile

Time = (3/4) minute

Rate = 1 ÷ (3/4) = 1 × (4/3) = (4/3) = 1.33 miles per minute

So, Yes, this rate is greater than 1 mile per minute.

Third Table

Using the first datapoint

Miles covered = (1/5) = (1/5) mile

Time = (2/8) = (1/4) minute

Rate = (1/5) ÷ (1/4) = (1/5) × (4/1) = (4/5) = 0.80 miles per minute

So, No, this rate is not greater than 1 mile per minute.

Fourth Table

Using the first datapoint

Miles covered = (4/5) mile

Time = (8/5) minute

Rate = (4/5) ÷ (8/5) = (4/5) × (5/8) = (1/2) = 0.50 miles per minute

So, No, this rate is not greater than 1 mile per minute.

Hope this Helps!!!

Step-by-step explanation:

please mark me as brainlest

In the proportion (5x + 1):3 = (2x + 2):7, the value of x is -1/29.

In the proportion (6x):(4x) = 7, there is no value of x that satisfies the proportion.

To find the value of x in the given proportions, let's solve them one by one:

(5x + 1) : 3 = (2x + 2) : 7

To solve this proportion, we can cross-multiply:

7(5x + 1) = 3(2x + 2)

35x + 7 = 6x + 6

Subtracting 6x from both sides and subtracting 7 from both sides:

35x - 6x = 6 - 7

29x = -1

Dividing both sides by 29:

x = -1/29

Therefore, the value of x in the first proportion is -1/29.

(6x) : (4x) = 7

To solve this proportion, we can simplify the left side:

6x / 4x = 7

Dividing both sides by 2x:

3/2 = 7

This equation is not true, as 3/2 is not equal to 7.

Therefore, there is no value of x that satisfies the second proportion.

In summary, the value of x in the proportion (5x + 1) : 3 = (2x + 2) : 7 is -1/29, and there is no value of x that satisfies the proportion (6x) : (4x) = 7.

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To answer this question, we need to compare the ratios of miles traveled to gallons of gas used for car A and car B when they both use 1 gallon of gas.

For car A, we can see from the graph that 50 miles are traveled for every 2 gallons of gas used, or in other words, 25 miles are traveled for every 1 gallon of gas used. Therefore, car A can travel 25 times the distance for 1 gallon of gas.

For car B, we can see from the table that 40 miles are traveled for every 2 gallons of gas used, or in other words, 20 miles are traveled for every 1 gallon of gas used. Therefore, car B can travel 20 times the distance for 1 gallon of gas.

To compare the two ratios, we can divide the ratio of miles traveled to gallons of gas used for car A by the ratio for car B:

25/20 = 1.25

Therefore, car A can travel 1.25 times the distance car B can travel when both cars use 1 gallon of gas.

2 cups you need to fill the jug to 4.

The ratio can be defined as the number that can be used to represent one quantity as a percentage of another. Only when the two numbers in a ratio have the same unit can they be compared. Ratios are used to compare two objects.

It depends on the size and markings of the jug.

If we assume that the jug is divided into equal intervals and each interval represents an equal volume,

then we can say that filling the jug to the second interval means that the jug is 1/2 full.

To fill the jug to the fourth interval, we need to fill the remaining 2 intervals, which means we need to add another 2 cups of liquid.

So, the answer is 2 cups.

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The value of the equation that defines the function is f(x) = 3(5/3)ˣ

From the question, we have the following parameters that can be used in our computation:

(0, 3) and (1, 5)

An exponential function is represented s

y = abˣ

Where,

a = y when x = 0

So, we have

y = 3bˣ

Using the other point, we have

3b = 5

This gives

b = 5/3

So, we have

f(x) = 3(5/3)ˣ

Hence, the equation defining f is f(x) = 3(5/3)ˣ

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The turning points of the function y = x³ - 3x² - 9x + 4 are (3, -23) and (-1, 9).

To determine the turning points of the given function y = x³ - 3x² - 9x + 4, we need to find the critical points where the derivative of the function is equal to zero.

1. Find the derivative of the function:

  y' = 3x² - 6x - 9

2. Set the derivative equal to zero and solve for x:

  3x² - 6x - 9 = 0

3. Factorize the quadratic equation:

  3(x² - 2x - 3) = 0

4. Solve the quadratic equation by factoring or using the quadratic formula:

  (x - 3)(x + 1) = 0

  This gives us two possible values for x: x = 3 and x = -1.

5. Substitute these critical points back into the original function to find the corresponding y-values:

  For x = 3:

  y = (3)³ - 3(3)² - 9(3) + 4

    = 27 - 27 - 27 + 4

    = -23

  For x = -1:

  y = (-1)³ - 3(-1)² - 9(-1) + 4

    = -1 - 3 + 9 + 4

    = 9

6. Therefore, the turning points are (3, -23) and (-1, 9).

Note: It appears that there was a typo in the original equation, where the term "-9x" should have been "-3x²". The above solution assumes the corrected equation.

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Answer:

Draw 6 black and leave 4 blank

Step-by-step explanation:

6+4=10

Answer: I feel like your too young to not to know this. Besides you say you are in college?

Step-by-step explanation:

Just put anything that sums up to 10. There are many I'll give you 2 examples: 7+3 or 5+5. You can use either one of those.

Answer:

Mean = 53.

Step-by-step explanation:

The median is the middle value so the 3 cards are

36, 46, x       where x is to be found.

The range is 41, so:

x - 36 = 41

x = 41 + 36

x = 77.

Therefore, the mean is

(36+46+77) / 3

= 159/3

= 53.

When the function f(x) changed to f(kx), that means the function is compressed or stretched horizontally by a scale factor

If k > 1, then it is compressed horizontally by a scale factor of 1/k

If 0 < k < 1, then it is stretched horizontally by a scale factor of k

Since the given function is

Since f(x) changed to

That means x is multiplied by 4

The value of k = 4 and it is compressed/stretched horizontally

Since k = 4, then

k > 1 (by using the rule above)

Then f(x) is compressed horizontally by a scale factor of 1/4

The central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

Given that, a survey was conducted in which 2400 people were asked to name their favorite sport to watch and the table below shows their answers: Sport percentage of people are:

Football 29%

Soccer 9%

Baseball 14%

Basketball 8%

Hockey 8%

Other 32%

We need to find the central angle measure, x, for the Baseball slice in the circle graph.

For this, we need to use the formula that gives the central angle measure in degrees for a sector of a circle:

Central angle measure = (Percentage/100) × 360°

Now, using the above formula, we can calculate the central angle measure for each sport as shown below:

Football: (29/100) × 360° = 104.4°

Soccer: (9/100) × 360° = 32.4°

Baseball: (14/100) × 360° = 50.4°

Basketball: (8/100) × 360° = 28.8°

Hockey: (8/100) × 360° = 28.8°

Other: (32/100) × 360° = 115.2°

The sum of all central angle measures should be 360°, which is the measure of a full circle.

So we can check if the calculations are correct: 104.4° + 32.4° + 50.4° + 28.8° + 28.8° + 115.2° = 360°

We see that the sum is indeed 360°, so the calculations are correct. The central angle measure for the Baseball slice is 50.4°.

Therefore, the central angle measure, x, for the Baseball slice in the circle graph is 50.4 degrees.

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The equation with an infinite number of solutions is 12x-x+8+3x=14x+8.

An equation is a formula in mathematics that expresses the equality of two expressions by connecting them with the equals sign =. In its most basic form, an equation is a mathematical statement that shows that two mathematical expressions are equal. 3x + 5 = 14, for example, is an equation in which 3x + 5 and 14 are two expressions separated by a 'equal' sign. A mathematical equation that depicts the relationship between two expressions on opposite sides of the sign. It mostly consists of one variable and one equal to symbol. 2x - 4 = 2 is an example.

Here,

12x-x+8+3x=14x+8

The equation so that it has infinitely many solution is 12x-x+8+3x=14x+8.

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As per given by the question,

there are given that the equation,

Now,

From the given equation,

Then,

Then,

Hence, the value of the x is,

For Part 7:

The given equation is,

Then,

Hence, the value of x is,

Now,

For part 10:

The given equation is,

Then,

Hence, the value of x is,