Show that the equation x^4/2021 − 2021x^2 − x − 3 = 0 has at least two real roots.

Answer:

y = (5/2)x + 13/2

y = 3

y = -2x + 6

Step-by-step explanation:

The left part of the function which is a line sloping up to the right contains points (-3, -1) and (-1, 4) which can be read off the graph.

Since we have two points, we can find the equation.

You can use the slope formula given two points, but I will read it off the graph with rise and run.

Go from point (-3, -1) to point (-1, 4) by going up 5 (the rise) and going right 2 (the run).

slope = rise/run = 5/2

y = mx + b

y = (5/2)x + b

Use point (-1, 4) for x and y and solve for b.

4 = (5/2)(-1) + b

8/2 + 5/2 = b

b = 13/2

y = (5/2)x + 13/2

This is the first answer.

The middle part is a horizontal line in which every point has y-coordinate 3.

The equation is:

y = 3

This is the second answer.

The right part is the line that slopes down to the right. We can read two points easily. Use points (3, 0) and (2, 2).

Start at (3, 0). Go left 1 (run of -1) and up 2 (rise of 2). Now you are at point (2, 2).

slope = rise/run = 2/(-1) = -2

Now we find the y-intercept on the graph. After you get to (2, 2), keep moving with the same run and rise of the slope. Go left 1 and up 2 to point (1, 4). Go again left 1 and up 2 to (0, 6). Point (0, 6) is on the y-axis, so it is the y-intercept.

b = 6

y = mx + b

y = -2x + 6

This is the third answer.

Answer:

5

Step-by-step explanation:

Answer:

5 bracelets

Step-by-step explanation:

Answer:

$200

Step-by-step explanation:

First, find the unit rate:

12/3= 4

Then multiply:

4*50= 200

Hope this helps!

Answer:

a values of r and a that the answer

Answer:

whats the question ❓friend maybe I'll be able to help

Answer:

2 1/4 pizzas

Step-by-step explanation: 5 - 3 =2 so put 2 then 1/2-1/4= 1/4 so 2 1/4

The area of triangle ABD = x² * √3 / 2 and The area of triangle BCD =       y * √(5x² + 4y² - 2xy√5)

To find the area of triangle ABD, we can use the formula for the area of a triangle: Area = (1/2) * base * height

In triangle ABD, the base is AD and the height is the perpendicular distance from point B to line AD. Since AB : AD = 1 : 2, we can let AB = x and AD = 2x.

Now, we can use the Law of Cosines to find the length of side BD. In triangle ABD, we have:

BD² = AB² + AD² - 2 * AB * AD * cos(∠BAD)

BD² = x² + (2x)² - 2 * x * (2x) * cos(120°)

Simplifying the equation:

BD² = x² + 4x² - 4x² * (-1/2)

BD² = 5x²

Taking the square root of both sides:

BD = √(5x²) = x√5

Since BE : ED = 3 : 4, we can let BE = 3y and ED = 4y.

Now, we can find the length of side BC. In triangle BCD, we have:

BC² = BD² + CD² - 2 * BD * CD * cos(∠BCD)

BC² = (x√5)² + (2y)² - 2 * (x√5) * (2y) * cos(∠BCD)

BC² = 5x² + 4y² - 4xy√5 * cos(∠BCD)

Since the quadrilateral ABCD is inscribed in a circle, ∠BCD = 180° - ∠BAD = 60°.

BC² = 5x² + 4y² - 4xy√5 * cos(60°)

BC² = 5x² + 4y² - 4xy√5 * (1/2)

BC² = 5x² + 4y² - 2xy√5

The area of triangle ABD is given by:

Area ABD = (1/2) * AB * AD * sin(∠BAD)

Area ABD = (1/2) * x * 2x * sin(120°)

Area ABD = x² * √3 / 2

The area of triangle BCD is given by:

Area BCD = (1/2) * BC * CD * sin(∠BCD)

Area BCD = (1/2) * √(5x² + 4y² - 2xy√5) * 2y * sin(60°)

Area BCD = y * √(5x² + 4y² - 2xy√5)

Further calculations require numerical values for x and y to obtain specific areas.

For more such questions on area of triangle

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Answer:

15 mm = 1.5 cm

27 mm = 2.7 cm

48 mm = 4.8 cm

Answer:

The simplest form is 3/4

Step-by-step explanation:

Cancel the common factor of 30 and 40

Write the Fraction in Simplest Form Of 30/40

Answer:

45∘

Step-by-step explanation:

So, the reference angle is 360∘−315∘=45∘

Hope this helps! :D

Answer:

T<2 its the answers

Your welcome

Answer:

In 2x[tex]\geq[/tex]8 the answer is: x[tex]\geq[/tex]4

Step-by-step explanation:

If we look at the 2x[tex]\geq[/tex]8, we can easily solve it. We know that the [tex]\geq[/tex] symbol means greater than or equal to. If we go by greater than, it could be any number of numbers. However, we know that it is also possible equal. For this to be true, then whatever 2 is being multiplied by must possibly give a product of eight also. Because of this, we can use the knowledge that 2*4 equals 8. So we simply put it in. x must be greater than or equal four in order to make the statement true. Remember the greater to or equal than part. It could be more than four. We are just saying the minimum of x would be four.

Answer:

X=8th grade 2x=6th grade x +10=7th grade

Answer:

(-19,15)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

open circle cause there is no line under the sign and the sign points left

You answer is In 18 weeks he'll have the $400 for the new phone.

I know this because she needs 400 but already has 130 so (400-130=270)

This means that Ruby is missing 270 to get to the 400 that he needs for the phone.He gets $15 per week so now that's (270/15=18).Which means that in 18 weeks Ruby will complete to full $400 that he needs for a new phone.

The required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.

Arithmetic is the branch of mathematics that deals with the study of numbers using various operations on them. Basic operations of math are addition, subtraction, multiplication and division. These operations are denoted by the given symbols.

Given:

Ruby has $130 saved. She is saving $15 dollars more each week.

According to given question we have

let x represent the number of weeks

she saves $15 each week,

then in x weeks she will save = 15x dollars.

Add this to the 130 she has already saved, and at the end of each week we get

15x + 130dollars.

So,

15x + 130 = 400

Subtract 130 from both sides we get

15x-130+130=400-130

15x=270

Divide by 15 on both sides we get

x=18

Therefore, the required solution of weeks will she have $400 saved to buy the new phone she wants is 18 weeks.

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Answer:

Inspect the graph to see if any vertical line drawn would intersect the curve more than once.

Step-by-step explanation:

If there is any such line, the graph does not represent a function. If no vertical line can intersect the curve more than once, the graph does represent a function.

Answer:

786 rounded to the nearest ten is 770.

Step-by-step explanation:

To round to the nearest 10, look at the units digit. if the units digit is 5 or more, round up. If the units digit is 4 or less, round down.

If I'm not wrong, then the answer will be:-

Given

• centers A, B, C

• three congruent sides

• have no common points

So, the result is:-

| PQ | + | RS | + | TU | = | QR | + | ST | + | UP |

I hope this answer is correct and helps you.

✍️ By Benjemin ☺️

Answer:

B

Step-by-step explanation:

if the number of chocolate changes the number of calories changes too

give brainlest if correct thank you :)

Answer:

[tex](-9,\, 17)[/tex] is in the second quadrant of a cartesian plane.

Step-by-step explanation:

The horizontal and vertical axes divides the cartesian plane into four quadrants. The quadrants are numbered counterclockwise, starting from the top-right corner:

[tex]\begin{array}{c|c}\text{second quadrant} & \text{first quadrant} \\\cline{1-2} \text{third quadrant} & \text{fourth quadrant}\end{array}[/tex].

(The quadrants do not include the two axes. Points on either axes are not in any of the quadrant.)

A point in the form [tex](x_{0},\, y_{0})[/tex] is on the right half of the plane (to the right of the vertical axis) if [tex]x_{0} > 0[/tex]. This point is on the vertical axis through the middle of the plane if [tex]x_{0} = 0[/tex]. Otherwise, if [tex]x_{0} < 0[/tex], this point would be on the left half of the plane (to the left of the vertical axis.)

The [tex]x[/tex]-coordinate of [tex](-9,\, 17)[/tex] is [tex]x_{0} = -9[/tex].

Since the [tex]x[/tex]-coordinate of this point is below zero ([tex](-9) < 0[/tex]), this point would be on the left-hand side of the origin to the left of the vertical axis.

Likewise, a point in the form [tex](x_{0},\, y_{0})[/tex] is above the horizontal axis if [tex]y_{0} > 0[/tex], on the horizontal axis if [tex]y_{0} = 0[/tex], and below the horizontal axis if [tex]y_{0} < 0[/tex].

The [tex]y[/tex]-coordinate of the given point [tex](-9,\, 17)[/tex] in this question is [tex]y_{0} = 17[/tex].

Since the [tex]y[/tex]-coordinate of this point is greater than zero ([tex]17 > 0[/tex]), this point would be above the horizontal axis.

Thus, the point [tex](-9,\, 17)[/tex] would be in the top-left quarter of the plane. The top-left quarter of the plane corresponds to the second quadrant, since this quadrant is the second quadrant after the first quadrant in the top-right corner. Hence, [tex](-9,\, 17)\![/tex] would be in the second quadrant of the plane.

Answer:

16.94 cm

Step-by-step explanation:

Answer:

a. y=4

b. graph the given and y=4

Step-by-step explanation:

The given is y= 8 sin(x) cos(x)

to get y' which is the slope of the tangent line we take the derivative

for this problem, the derivative involves the constant rule (which states that the derivative a constant times a value is just the constant times the derivative of said value) and the multiplication rule (assuming that the two parts in question are represented by the variables a and b then the derivative of a*b = a*b'+b*a')

thus we get 8*(sin(x)*-sin(x)+cos(x)*cos(x))

-8sin^2(x)+8cos^2(x)

You can also leave the 8 differentiated out depending on the form you need.

Now that we have the derivative we can plug pi/4 into this equation to get the slope of the tangent line at that point

=8sin^2(pi/4)+8cos^2(pi/4)

this would equal -8*1/2 +8*1/2 which equals 0

the slope of the tangent at this point would be zero

To get the point for point slope form we plug the pi/4 into the given equation to get a y value and get the point (pi/4, 4)

this means the point slope equation would be

y-4=0(x-pi/4)

y-4=0

y=4

To graph you would just enter the given equation and the equation for the tangent line into a graphing software or calculator and see if the line is tangent at the point (pi/4, 4)

Answer:

Problem 2: k = 3

Problem 4: NO SOLUTION

Step-by-step explanation:

Problem 2 work:

-4/3(12k + 27) = -57 - 9k

-16k - 36 = -57 - 9k    -ADD THE -9k TO ITSELF AND TO -16k-

-7k - 36 = -57     -ADD THE -36 TO ITSELF AND -57-

-7k = -21

k = 3

Problem 4 work:

5/2(6w - 16) = 18w -(3w + 40)

15w - 40 = 18w - 3w - 40    -ADD THE -3w TO THE 18w-

15w - 40 = 15w - 40

NO SOLUTION BECAUSE BOTH SIDES ARE THE SAME

Answer:

5;:':;;gighifighfutfdyfuhufgfyhxfkcy

Answer:

1 hour equals 18 bucks

144 divided by 18 equals 8 so she works for 8 hours to get 144 bucks

Step-by-step explanation:

144 divided by 18 equals 8

Answer:

cr qe deobpaase r

Step-by-step explanation:

9514 1404 393

Answer:

  B. (the correct choice is marked)

Step-by-step explanation:

The value of the function for a given x is the vertical position of the point on the graph. Adding 6 to the function value shifts the graph up 6 units.

The graph of G(x) is the graph of F(x) shifted 6 units up.