Which equation can be used to solve for x in the following diagram?

The system of equation can be used to find the root of the equation is y= x³-4x² +2x and y=0 , y=4x² and y= x³+2x

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

y=-4x²

y= x³+2x

By equating the above equation we have

-4x²=x³+2x

Now, y= x³-4x² +2x

and y=0

By equating the above equation we have

x³-4x² +2x=0

y=4x²

y= -x³-2x

By equating the above equation we have

4x²=-x³-2x

Lastly,

y=4x²

y= x³+2x

By equating the above equation we have

4x²=x³+2x

Hence, the equation can be used is y= x³-4x² +2x and y=0 ,

y=4x² and y= x³+2x

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If the plane flying in direction of 40° north of east at a speed of  350 mph and wind is blowing at 40 mph in the direction 30° south of east. then the drift angle will be 5.9 °.

Let's assume east as x axis and north as y axis.

Breaking velocity of plane into components

350 cos40°  î + 350 sin40°  ĵ

(350 × 0.76604)  î + (350 × 0.64278)  ĵ

268  î + 225  ĵ

Breaking velocity of wind into components

40 cos30°  î - 40 sin30°  ĵ

(40 × 0.86602)  î - (40 × 0.5)  ĵ

34.64  î - 20  ĵ

Now adding velocity of wind to velocity of plane as

The resultant velocity of the plane =  initial velocity of plane + velocity of wind

( 268 + 34.64 )  î + ( 225 - 20 ) ĵ

302.64  î + 205  ĵ

So the final velocity of plane will be 302.64  î + 205  ĵ

Lets assume the angle of final velocity from east be θ

So Tan θ = perpendicular / base

So Tan θ = 205 / 302.64

Tan θ = 0.677

θ = Tan⁻¹(0.677)

θ = 34.12 °

As we know,

Drift angle is the difference of initial and final angle of the object measured from same reference.

Drift angle=| Initial angle of plane from east - final angle of plane from east |

Drift angle= | 40 - 34.12 |

Drift angle= 5.87 ° ≈ 5.9 °

So we used the concepts of vectors to solve the above question, first we find out the the final angle of plane from east and then takes the difference of initial and final angle from east to find the drift angle and that we got as 5.9 °.

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Answer:

1/11 = 0.090909090909090909........................

Mixtures D and E have a ratio of 5:12 and will create the same shade of pink. Options D and E are correct.

A ratio is an ordered pair of integers a and b expressed as a/b, with b never equaling 0. A percentage is a mathematical expression in which two ratios are specified to be equal.

Given data;

red wax  = 12 ml

white wax = 5 ml

A red wax: white wax = 5:12

B. red wax: white wax=4:1

C red wax white wax = 13: 6

D. red wax: white wax=12:5

E. red wax white wax=12:5

Hence, mixtures D and E have a ratio of 5:12 and will create the same shade of pink.

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Answer:

It's very simple: divide the 40 m² area by area of 1 one sphere

[tex] \frac{40 \: m {}^{2} }{3.41 \times 15m {}^{2} } = 565[/tex]

Visual representation is preferable for working for its attractive charts, graphs etc.

The advantages of the numerical values :

1. Numerical values are present in numerical methods. Numerical methods are easier to calculate with the help of mathematical operations like addition, subtraction, multiplication, division & others.

2. No analytical solution is present in numerical methods, only the numerical values are there. So, this is an advantage of numerical values.

The advantages of the visual representations

1. Visual representation gives us an easier way of understanding.

2. Visual representation makes something more interesting to read or solve.

3. Visual representation is best to arrange quantitative datas by using charts, graphs, attractive colors etc.

Which is preferable for working and why?

Visual representation is preferable for working. Because it is more easier way to solve something. The gained interest from visual representation also help to solve something quicker.

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Answer:

I myself prefer visual representation because to me it helps to see things visually and  for understanding and working with charts and graphs.

Numerical methods make equations easier to calculate because they give us help of mathematical operations like in addition, subtraction, multiplication, division & others.

Visual representations give us easier ways of understanding and makes something more interesting to read or solve by simply looking at the visual.

Step-by-step explanation:

The equation can be used to solve for x, the time in hours that Yi spent walking before meeting her friend would be D; 4x + 5(0.7 – x) = 3.

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Total distance covered = 3 miles.

The first part walked at the rate of 4 miles per hour.

Let us consider x hours was walked in the first part.

Total distance covered in x hours at the rate of 4 miles per hour will be 4x.

Now, the Second walk rate with meeting with friend will be 5 miles per hour.

The Total time is taken = 0.7 hours.

Therefore, time is taken in the second walk only = (0.7 - x) hours.

Distance covered in second walk = 5 (0.7 - x).

Total distance covered = distance covered in the first part + distance covered in the second part.

4x + 5 (0.7 - x) = 3 miles.

Hence, correct option is D; 4x + 5(0.7 – x) = 3.

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Answer:

its d

Step-by-step explanation:

Answer:

the answer is (3,4) is the solution to line A but not to line b

Answer:

the first equation could be something along the lines of [tex]y=3x^{2}[/tex] then the second is [tex]y=3x^{2} -3\\[/tex]

Step-by-step explanation:

this is how shifting works

Answer: No. The intervals defined by the margin or error overlap

Step-by-step explanation:

If we think about it, with the worst margins, 55% could be 48% and then the 45% would be 52%, showing there is no clear yes or no and it is possible that the intervals could overlap

Answer:

This would shift the equation to the right by 5

Step-by-step explanation:

The equation to describe the relationship between t, the time, and d, the distance is t = 1.43d

It is defined as the relationship between two variables when the first variable increases, the second variable also increases according to the constant factor.

As we know,

time(t) = speed(s)×distance(d)

Speed is constant:

t ∝ d

t = kd

k = t/d = 10/7 = 15/10.5 = 20/14 = 1.428 ≈ 1.43

The equation is:

t = 1.43d

Thus, the equation to describe the relationship between t, the time, and d, the distance is t = 1.43d

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Answer:

d=0.7t

Step-by-step explanation:

the other dude is wrong

Answer: -6

Step-by-step explanation:

Answer:

(-25, 25)

Step-by-step explanation:

let me know if you want an explanation!

The expression for the area of the rectangular swimming pool is given as follows:

A = w² + 100w + 2100.

The area of a rectangle of length l and width w is given by the multiplication of these measures, that is:

A = lw.

In this problem, considering the width of 70 meters and a length of 30 meters, plus the floor of w meters, we have that:

Hence the area is given as follows:

A = l x wi = (30 + w)(70 + w) = w² + 100w + 2100.

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Answer:

difference-of-squares

Step-by-step explanation:

Answer:

Rate of Change = -77.9 feet/year

My interpretation: "Is Bad."

Step-by-step explanation:

The rate of change is the number of feet that Lake Powell dropped, divided by the number of years the drop took place.  We want a value with a unit of feet/year.

Year    Feet

1999     3893

2005    3425.6  

Change

Year = (2005 - 1999)  or 6 years

Feet = (3425.6 - 3893) or -467.4 feet

Rate of Change = (-467.4 feet)/(6 years)

Rate of Change = -77.9 feet/year

=======================

FYI:  Lake Powell is 22.39 feet lower today (June 23, 2022) than it was 1 year ago.

The height of domino number 10 is 56.9 inches.

A function in mathematics set up a relationship between the dependent variable and independent variable. on changing the value of the independent variable the value of the dependent variable also changes.

The exponential function:-An exponential function is given by:

y = abˣ

where a is the initial value of y at x = 0, y, x are variables and b is the multiplication factor

Let y represent the height of the number x domino

Since the height of the smallest domino no 0 is 3 inches, hence a = 5. b = 100% + 19% = 1.19

y = 10(1.19)ˣ

For x = 10:

y = 10(1.19)¹⁰= 56.9 inches

Therefore the height of domino number 10 is 56.9 inches.

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Answer: 23.476 = 20+3+0.4+0.07+0.006

Step-by-step explanation:

I think you were supposed to write down the choices but I will guess the answer is this one:

23.476 = 20+3+0.4+0.07+0.006

Hope I helped!

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Answer:  [tex]\textsf{y = 4x - 12}[/tex]

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Given: [tex]\textsf{Slope = 4, Point = (2, -4)}[/tex]

Find:  [tex]\textsf{The equation in slope-intercept form}[/tex]

Solution: We need to plug in the values into point-slope form and after simplifying, distributing, and solving for y we will have our equation in slope-intercept form.

Plug in the values

Distribute and simplify

Subtract 4 from both sides

Using the information that was provided in the problem statement we were able to determine that the equation in slope-intercept form was y = 4x - 12.

Answer:

y = 4x - 12

Step-by-step explanation:

Given:

slope of 4, and point (2, -4)

Here, we're being asked to write the equation in Slope-Intercept Form. As we have been given the slope and a point on the line, we can use the Point-Slope Form to be able to find that equation.

First, know the two forms:

⇒ Point-Slope Form: y - y₁ = m(x - x₁)

where: m is the slope, and (x₁, y₁) is the given point

⇒ Slope-Intercept Form: y = mx + b

where: m is the slope, and b is the y-intercept

Now, substitute the given values into the Point-Slope Form:

⇒ y - y₁ = m(x - x₁)

⇒ y - (-4) = 4(x - 2) [simplify]

⇒ y + 4 = 4x - 8

Change to the Slope-Intercept Form:

⇒ y + 4 = 4x - 8 [subtract 4 from both sides]

⇒ y + 4 - 4 = 4x - 8 - 4

⇒ y = 4x - 12

Therefore, the equation of the line in slope-intercept form is: y = 4x - 12

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The probability of bringing an apple is 0.20

The distribution of the fruits is given as:

The probability of bringing an apple is:

P(Apple) = Apple/Total

This gives

P(Apple) = 3/(3 + 2 + 4 + 5 + 1)

Evaluate

P(Apple) = 0.20

Hence, the probability of bringing an apple is 0.20

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Answer:

y=3 (1/3)x

Step-by-step explanation:

On a graph, the closest graph you pictured is this answer

Answer:

y =  [tex]3 (\frac{1}{3} )^{x}[/tex]

Step-by-step explanation:

Step 1:

Check the y-intercept; in the graph, when x = 0, y = 3. Which equation satisfies this?

y = [tex]\frac{1}{3}[/tex] [tex](3)^{x}[/tex] = [tex]\frac{1}{3}[/tex] [tex](3)^{0}[/tex] =        [tex]\frac{1}{3}[/tex]      ❌

y = [tex]3 (\frac{1}{3} )^{x}[/tex]  = [tex]3 (\frac{1}{3} )^{0}[/tex]  = 3          ✅

y =  [tex](\frac{1}{2} )^{x}[/tex] + 2  = [tex](\frac{1}{2} )^{0}[/tex] + 2 = 3  ✅

So the last two equations are possible.

Step 2:

Now check the y-value on the graph for any other x-value, whose corresponding y-value can be easily estimated from the graph.

For example, when x = 2, the y-value is between 0 and 1.

• 2nd equation: y = [tex]3 (\frac{1}{3} )^{x}[/tex]  =  [tex]3 (\frac{1}{3} )^{2}[/tex] = 0.333               ✅

• 3rd equation:  y =  [tex](\frac{1}{2} )^{x}[/tex] + 2 = y =  [tex](\frac{1}{2} )^{2}[/tex] + 2 = 2. 25  ❌

∴ 2nd equation (y = [tex]3 (\frac{1}{3} )^{x}[/tex] ) is the one being represented by the graph.

Answer:

X = 125° and Y = 75°

Step-by-step explanation:

Y = 75° because the line the bisects two parallel lines. When this happens, the angles at the corners are identical.

To find the value of "X", I first found the value of the last angle in the triangle. I found this by performing the following:

180° - 55° - 75° = 55°

The value of this missing angle is 55°. To find "X", I subtracted this value from 180°. I did this because lines always equal 180°

180° - 55° = 125°

A function assigns the values. The input value that produces the same output value for the two functions is 1.

A function assigns the value of each element of one set to the other specific element of another set.

For the given tables the x is the input while f(x) and g(x) are the outputs of the respective functions. Therefore, the input for which the two given functions will return the same output is 1.

Hence, the input value that produces the same output value for the two functions is 1.

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Two sets of angles are corresponding angles will be ∠w = ∠v and ∠x = ∠y. Then the correct option is A.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

Two similar triangles are shown below:

Then two sets of angles are corresponding angles will be

∠w = ∠v and ∠x = ∠y

Then the correct option is A.

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Answer:

i don't know

Step-by-step explanation:

i

Answer:

9

Step-by-step explanation:

2 + 1 + 4 + 3 + 5 + 7 + 4 + 2 + 2 + 1 + x = 40

x = 40 - (2 + 1 + 4 + 3 + 5 + 7 + 4 + 2 + 2 + 1)

x = 40 - (3 + 7 + 12 + 6 + 3)

x = 40 - (10 + 18 + 3)

x = 40 - 31

x = 9