Find the solutions of each equation on the interval
(SHOW WORK)

Find The Solutions Of Each Equation On The Interval (SHOW WORK)

Answers

Answer 1

im not in collage but I'll try ok so its most likely

Factor then solve to find the complex solutions.

x=2πn, for any integer n

if i was right could i get brainly?


Related Questions

PLEASE ANSWER ASAP!!
Use completing the square to rewrite the function in vertex form. f(x) = x² + 4x - 7
○ f(x) = (x+2)² - 11
Of(x) = (x-7)² +4
○ ƒ(x) = (x+2)² – 3
○ f(x) = (x − 2)² – 7

Answers

Answer:  Choice A

f(x) = (x + 2)^2 - 11

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

Work Shown:

y = x^2 + 4x - 7

y+7 = x^2 + 4x

y+7+4 = x^2 + 4x + 4

y+11 = x^2 + 4x + 4

y+11 = (x + 2)^2

y = (x + 2)^2 - 11

f(x) = (x + 2)^2 - 11

In the third step, I added 4 to both sides to complete the square for the x^2+4x portion. Notice that (x+2)^2 = x^2+4x+4. So I added 4 to fill in the missing piece needed to complete the square.

Put another way the '4' added to both sides is because we first divided the x coefficient 4 in half to get 4/2 = 2. Then you square it to get 2^2 = 4.

--------------------

Alternative Method (optional)

y = x^2 + 4x - 7 is in the form of y = ax^2+bx+c

where: a = 1, b = 4, c = -7

Plug those a,b values into the formula below

h = -b/(2a)

h = -4/(2(1))

h = -2

This is the x coordinate of the vertex.

Use it to find the y coordinate of the vertex.

y = x^2 + 4x - 7

y = (-2)^2 + 4(-2) - 7

y = -11

The vertex is located at (h,k) = (-2,-11)

We have the template y = a(x-h)^2 + k update to y = (x + 2)^2 - 11 after plugging in a = 1, h = -2, and k = -11.

Give them brainiest ^^^^ (:

PLEASE ANSWER FAST URGENT!!!! (BRAINLIEST WILL BE GIVEN)

Answers

Answer:

1 - 135

2 - 45

3 - 45

4 - 135

5 - 135

6 - 45

7 - 45

8 - 135

Write a multiplication expression to represent the number of table tennis balls in one layer of the box

Answers

Answer:

I believe I found your question, I hope this helps.

Step-by-step explanation:

Find the value of x.
55
X

44
X = [?]
Enter the number that belongs in
the green box.

Answers

Answer:

Step-by-step explanation:

x^2 + 44^2 = 55^2

x^2 + 1936 = 3025

3025-1936 = 1089

sqrt(1089) = 33

x = 33

Answer:

X=33

Step-by-step explanation:

this is a right traingle so you can use pythagorean theorem

A^2 +B^2 =C^2

A^2 +44^2= 55^2

A^2 + 1936= 3025 subtract 1936 from both sides

A^2= 1089 now square root both sides

A=33

) The height h(t) in feet of a model rocket above the ground t seconds after
lift-off is given by h(t) = −t
2 +30t, for 0 ≤ t ≤ 30. When does the rocket reach its
maximum height above the ground? What is its maximum height?

Answers

After 15 seconds rocket reaches to maximum height is 225 units.

What is Differentiation?

Differentiation means the rate of change of one quantity with respect to another. The speed is calculated as the rate of change of distance with respect to time.

Here, the given equation of height

            h(t) = -t² + 30t

             y = -t² + 30t

Now, on differentiating both side with respect to t, we get

        dy/dt = -2t + 30

put dy/dt = 0, we get

       0 = -2t + 30

        2t = 30

        t = 15

Now, at t = 15 sec. rocket reach at its maximum height.

maximum height at t = 15 sec is

     h(15) = -(15)² + 30(15)

     h(15) = -225 + 450

    h(15) = 225

Thus, after 15 seconds rocket reaches to maximum height is 225 units.

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need help with this graphing question please

Answers

Step-by-step explanation:

12 . The x-intercept is where a line crosses the x-axis, and the y-intercept is the point where the line crosses the y-axis. Thinking about intercepts helps us graph linear equations..

Find the missing side of this right triangle.
30

X
[?]
X = 1
Enter the number that belongs in the green box.

Answers

Answer:

909

Step-by-step explanation:

sqrt(30² + 3²) = x

hence the number in the box should be 909

Answer:

909

Step-by-step explanation:

Using pythagoras theorem :

a² + b² = x²

30² + 3² = x²

900+9 = x²

909 = x²

x = √909

Hence the number in the box should be 909

Hope this helped and brainliest please

he triangle on the grid will be translated two units down. On a coordinate plane, triangle A B C has points (2, 1), (0, negative 1), (2, negative 1). Which shows the triangle when it is translated two units down? On a coordinate plane, triangle A prime B prime C prime has points (0, negative 1), (0, negative 3), (2, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (0, 1), (negative 2, negative 1), (0, negative 1). On a coordinate plane, triangle A prime B prime C prime has points (2, negative 1), (2, negative 3), (0, negative 3). On a coordinate plane, triangle A prime B prime C prime has points (2, negative 1), (2, negative 3), (0, negative 1).

Answers

If these coordinates are translated two units down, we will subtract 2 units from the y axis to have A(2, -1), B(0, -3) and C(2, -3)

Translation of coordinate point

Translation is a transformation technique of changing the position of an object on the xy-plane.

Given the following coordinate of a triangle expressed as:

A(2, 1)

B(0, -1)

C(2, -1)

If these coordinates are translated two units down, we will subtract 2 units from the y axis to have:

A(2, -1)

B(0, -3)

C(2, -3)

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Simplify 5^-4/5^3 (help please asap)

Answers

Answer:

Rewrite 5[tex] {5}^{2?} [/tex]as[tex] {5} -^{4?} \times {5}^{7?} [/tex]Cancel out 5-4 both numerator and denominator[tex] \frac{1}{5 {}^{?7} ?} [/tex]calculate 5 to the power of 7 and get 78125[tex] \frac{1}{78125} [/tex]is equal to 0.0000128

Answer:

=5^(-4)*5^(-3)

=5^(-7)

=1/5^(7)

Step-by-step explanation:

i took the denominator and multiplied it to the numerator

when powers of the same base are multiplying we add the exponents, so I added the -3 to -4 and got -7 which gives me 5^(-7) which is 1/5^(7)

triangle ABC is translated 6 units to left and 1 unit up to create ABC

Answers

Answer:

10

Step-by-step explanation:

(Image: Start Fraction x over 4 End Fraction) + 2 = –2

Answers

If the linear equation with one variable is x / 4 + 2 = –2. Then the value of x will be negative 16.

What is simplification?

Making anything easier to accomplish or comprehend, as well as making it less difficult, is the definition of simplification.

The equation is given below.

x / 4 + 2 = –2

Solving for x, we have

x / 4 + 2 = –2

     x / 4 = – 2 – 2

     x / 4 = – 4

          x = – 4 × 4

          x = – 16

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Which function is represented by the graph?

Answers

Answer:

square root function; y = -√(x + 2) - 1

Step-by-step explanation:

the graph shown is a square root function

the parent of a square root function is y = √x

you transform this equation using y = a√(x - h) + k

it is reflected across the x axis so you put the negative before the a

since there is no dilation the a is blank

y = -√(x - h) + k

the h is the horizontal shift

it went 2 to the left so that is -2

that makes it y = -√(x - -2) + k

which is also y = -√(x + 2) + k

the k is the vertical shift

it went 1 down

that makes it y = -√(x + 2) - 1

that is your equation

If you want a fun mathematical challenge, then click me!

Answers

Answer:

0.2

It was fun!

Also mark me as brainliest

Given that ƒ(x) = 3x, identify the function g(x) shown in the figure.

Answers

We will see that g(x) is a reflection across the y-axis of f(x), then:

   [tex]g(x) = f(-x) = 3^{-x\\[/tex]

How to identify the function g(x)?

By looking at the graph, we can see that g(x) is a reflection across the y-axis of f(x).

So we can write:

g(x) = f(-x)

Here we know that:

[tex]f(x) = 3^x[/tex]

Then, replacing f(x) on the formula for g(x), we get:

[tex]g(x) = f(-x) = 3^{-x\\[/tex]

That is the function g(x) shown in the figure.

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Mean Calculations Q3: The mean of 8 numbers is 14. What is the total of the numbers? 84 1.75 112 22 ​

Answers

Answer:

84.

Step-by-step explanation:

mean = total of the values  / number of numbers

If the total of the numbers = T:

14 = T / 8

T = 8*14 = 84.

What is the value of 3-(-2)?

Answers

Answer:

5

Step-by-step explanation:

2 negatives will make a positive so 3-(-2) is equal to 3+2 and the answer is 5.

hope it helps

5. When you subtract a negative number you add it because the negatives cancel each other out

Which polynomial is represented by the algebra tiles?
O x²-x-4
O x²-x+4
O 3x² -5x + 8
O
3x²-5x-8

Answers

Answer:

3x^2-5x+8 is the answers for the question

Step-by-step explanation:

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Given: Line CD bisects angle ACB, angle 1 is congruent to angle 2.
Prove: Triangle CDA is congruent to triangle CDB

Answers

Proving that Triangle CDA is congruent to triangle CDB below:

SSA ( angle one is equal to angle two and also side CD is on both side so it is equal, finally side BD is equal to AD because the line was bisected

Meaning of congruent triangle

Congruent triangles can be defined as triangles that have the same size and shape.

A congruent triangle, corresponding angles are equal also the corresponding sides are equal.

In conclusion, the proof that Triangle CDA is congruent to triangle CDB is given above

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18 cm
12 cm. Find the surface area of the cylinder

Answers

Answer

720π cm²

Step-by-step explanation:

Surface area of cylinder

A=2πr(s+r)

for r=12cm, s=18cm

A= 2π×12(12+18)

=24π×30

=720π

Four students were discussing how to find the unit rate for a proportional relationship. Which method is valid? “Look at the graph of the relationship. Find the y-value of the point that corresponds to x = 1. That value is the unit rate.” “Look at the graph of the relationship. Count the number of units up and the number of units to the right one must move to arrive at the next point on the graph. Write these two numbers as a fraction.” “Look at the graph of the relationship. Find the x-value of the point that corresponds to y = 2. That value is the unit rate.” “Look at the graph of the relationship. Find two points which have y-values that are one unit apart. The unit rate is the difference in the corresponding x-values.”

Answers

The correct answer is: [A]: " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

What is  y-value?

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). Also called "Ordinate".

Here, The "y-axis" is located on the "vertical axis" that represents the "dependent variable" (or, at times, the "control value") that cannot be "manipulated" / controlled/ or "selected" / since it represents the "y-value" of the corresponding coordinate to which the "x-value" happens to corresponds to at the given value for "x" .

Thus, the correct answer is: [A]: " Look at the graph of the relationship.  Find the y-value of the point that corresponds to x = 1 . That value is the unit rate."

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In how many ways can 3
person study groups be
selected from a class of 25
students?
Note: Cr
n!
r!(n-r)!
n
www
Enter

Answers

Answer:  2300

Work Shown:

[tex]_{n} C _{r} = \frac{n!}{r!(n-r)!}\\\\_{25} C _{3} = \frac{25!}{3!*(25-3)!}\\\\_{25} C _{3} = \frac{25!}{3!*22!}\\\\_{25} C _{3} = \frac{25*24*23*22!}{3!*22!}\\\\ _{25} C _{3} = \frac{25*24*23}{3!}\\\\ _{25} C _{3} = \frac{25*24*23}{3*2*1}\\\\ _{25} C _{3} = \frac{13800}{6}\\\\ _{25} C _{3} = 2300\\\\[/tex]


Which of the following theorems verifies that AKML AOPQ?

Answers

The theorem that verifies that the two right angled triangles are similar is HA.

What are similar triangle?

Two triangles are said to be similar if the ratio of their corresponding sides and the corresponding angles are equal.

Analysis:

From the diagrams KL = OQ ( hypotenuse)

∠L is equal to ∠Q which are acute.

so the two triangles are similar in hypotenuse and acute angle which is the HA theorem.

In conclusion, the HA theorem verifies that the two triangles are similar.

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In triangle ABC, AP is an angle bisector of angle BAC. What is the length of PC? Round you answer to the nearest whole number.
A) 6
B) 7
C) 8
D) 9

Answers

The length of PC  is 6

Sure hope this helps you :D

Answer:

D

Step-by-step explanation:

the angle bisector divides the opposite side into segments that are proportional to the other 2 sides.

note that BP = 16 - PC , then

[tex]\frac{BP}{PC}[/tex] = [tex]\frac{AB}{AC}[/tex] ( substitute values )

[tex]\frac{16-PC}{PC}[/tex] = [tex]\frac{8}{10}[/tex] = [tex]\frac{4}{5}[/tex] ( cross- multiply )

4 PC = 5(16 - PC) ← distribute parenthesis

4 PC = 80 - 5 PC ( add 5 PC to both sides )

9 PC = 80 ( divide both sides by 9 )

PC = 8.888... ≈ 9 ( to the nearest whole number )

Is (3,9) a solution to the equation y = 2x + 3 given the scholar's work shown below?

Answers

Answer:

Yes because 2(3) + 3 equals 9

Step-by-step explanation:

He correctly substituted x=3 into the equation and y=9. When working out both sides, he saw that both sides were equal to each other, so (3,9) is a solution!

select all possible answers below - see picture for question & model

Translate by directed line segment AD

Rotate 180 degrees around point C, translate by directed line segment CE
and reflect across segment EF.


Rotate 180 degrees around point E

Translate by directed line segment AE and reflect across AC

Translate by directed line segment CE and rotate 90 degrees counterclockwise
around point E

Reflect across segment AB, rotate clockwise by angle BFE using center F
then reflect across segment. EF

Answers

The sequence of Transformation that could take figure 1 to figure 2 is; Translate by direct Line segment AD.

How to carry out transformations?

In the given graph, we can notice that figure 1 is exactly the same as figure two just that they are at different coordinates.

Now, to map figure 1 to figure two, what needs to be done is called translation. This is because In translation transformation, all the points in the object are moved in a straight line in the same direction.

Thus, the correct answer will be to translate by directed line segment AD.

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7. Write an equation, in slope-intercept form, that has slope of -4 and y-intercept of -2.
Thank you

Answers

y=-4x-2

Slope intercept form is y=mx+b
M is the slope
And b is the y intercept

Which of the following are properties of the incenter of a triangle? Check all
that apply.
A. The incenter is equidistant from each side of the triangle.
B. The incenter of a triangle is always inside it.
C. The incenter is where all of the bisectors of the angles of the
triangle meet.
D. The incenter of an obtuse triangle lies on the outside of the
triangle.

Answers

The incenter of a triangle is the point at which the triangle's three internal angle bisectors connect. The correct options are A, B, and, C.

What is the incenter of a triangle?

The incenter of a triangle is the point at which the triangle's three internal angle bisectors connect. In other words, it is the point at which the internal angle bisectors of the triangle intersect.


The properties that are true about the incenter of a triangle are:

A. The incenter is equidistant from each side of the triangle.

B. The incenter of a triangle is always inside it.

C. The incenter is where all of the bisectors of the angles of the triangle meet.

Hence, the correct options are A, B, and, C.

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Please help me, thanks if it’s right!!

Answers

Answer:

[tex]11x - 4[/tex]

[tex]11x {}^{1 - 1} [/tex]

[tex]11x {}^{0} [/tex]

[tex]11 \times 1[/tex]

[tex]x = 11[/tex]

Question 7(Multiple Choice Worth 1 points)
(02.02 MC)
You are riding the bus to school and you realize it is taking longer because of all the stops you are making. The time it takes to get to school, measured in minutes, is modeled using the function gox)=x²-3x²
number of stops the bus makes if the bus makes 2 stops after you board, how long does it take you to get to school?
01 minute
03 minutes
07 minutes
O11 minutes
4x-5, where x is the
F

Answers

The time taken for the person to get to school based on the equation will be 7 minutes.

How to calculate the time?

From the information given, the equation is given as:

g(x) = x⁴ - 3x² + 4x - 5

Then, we'll put 2 as x. This will be:

= 2⁴ + 3(2)² + 4(2) - 5

= 16 - 12 + 8 - 5

= 7

Therefore, the time taken for the person to get to school based on the equation will be 7 minutes.

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A study was conducted on the year and the number of honeybees in a beekeeper’s hive. After using the averaging method for the line of best fit, the two representative points found were (10, 250) and (20, 500). What is true about the line of best fit for this data? Select all that apply.

-The estimated slope is 25.
-The y-intercept is 0.
-The equation for the line of best fit of this data is y = 25x.
-The equation for the line of best fit of this data is y = -25x.
-The line passes through the two representative data points but may or may not pass through any of the data points.

Answers

The correct answer is option 3 which is the equation for the line of best fit of this data is y = 25x.

What is an equation?

The equation in mathematics is the relationship between the variables and the number and establishes the relationship between the two or more variables.

Given that:-

A study was conducted on the year and the number of honeybees in a beekeeper’s hive. After using the averaging method for the line of best fit, the two representative points found were (10, 250) and (20, 500).

The equation of the line will be calculated as:-

The intercept of the line will be;-

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}=\dfrac{500-250}{20-10}=25[/tex]

The equation of the line is given as:-

y - y₁ = m( x - x₁ )

Putting the coordinates:-

y - 250 = 25 ( x - 10 )

y - 250 = 25x - 250

y = 25x

Therefore the correct answer is option 3 which is the equation for the line of best fit of this data is y = 25x.

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