Which of the following would best be solved using completing the square?
5x^2+7x=12
X^2+4x-21=0
x^2=81
2x^3-12x^2+5x-30=0

Answers

Answer 1
Answer Second

Step by step exploration

x^2+4x-21=0
x^2+4x+4-25=0
(x+2)^2-25=0
(x+2)^2=25
X+2=+OR-5
x=-7 or x=3

Related Questions

If 40% of x + 20% of x + 1/10 = 75% of x, then find the value of x. Please give answers with steps

Answers

Answer:

x = 13/12

Step-by-step explanation:

explain on image

Hxhxhhdhfhdhdhdgdgdgddggzgzsgsggddxnxhdbfbffbhfhrhffhfhhfhfhffjjfjfnf

Which angles are vertical angles?

Answers

Answer:

It would be Angles GFC and EFH.

Think of it like I'm drawing a capital X. Would you consider the top and bottom parts of the X to be the same? Or would you consider the top and left parts to be the same?

The correct answer for this would be that the top and bottom parts of X are the same size. Now, remember that whenever two lines are making an X. this is because the two angles only touch each other in the center point and don't share a side.

E G and B D are vertical lines

Can someone please show me how you get it and the answer

Answers

Answer:

m is the slope and b is the y intercept

PLEASE HELP ME I REALLY NEED THE ANSWER


1 tickets
2 tickets
3 tickets
4 tickets

Answers

Answer:

2 adult tickets

Step-by-step explanation:

we have two relations

[tex]a + c = 5[/tex]

[tex]9a + 4c = 30[/tex]

first rearrange the top equality for one of the variables

[tex]a = 5 - c[/tex]

now substitute into the second equation

[tex]9(5 - c) + 4c = 30[/tex]

perform the distribution and combine like terms

[tex]45 - 9c + 4c = 30[/tex]

[tex]45 - 5c = 30[/tex]

[tex] - 5c = - 15[/tex]

[tex]c = 3[/tex]

place this 3 into our first equation and solve for a

[tex]a + (3) = 5[/tex]

[tex]a = 2[/tex]

Julie is playing a game where she must flip 3 coins. If Julie flips all 3 coins and gets heads all three times, she wins. If Julie does not get heads all three times, she loses.

1/8


1/2


1/4

Answers

Answer:

1/8

Step-by-step explanation:

[tex](\frac{1}{2})^{3}[/tex]

Find the value of x.

Answers

Answer:

5

Step-by-step explanation:

Using pythagoras theorem

Answer:

4056 is the correct answer I think

Step-by-step explanation:

13×13×24=4056

Can someone help with this, i don’t know how to do it

Answers

Answer:

X=12

Step-by-step explanation:

In all Triangle, the sum of the interior angles =180

180-86-46=4x

4x=48

x=12

Question 7

Which set of side lengths can be used to form a right

triangle?

Answers

Answer:

D.30,40,50

Step-by-step explanation:

A.4,5,6

B.2,3,4

C.10,20,30

D.30,40,50

The Pythagoras theorem : a² + b² = c²

where a = length

b = base

c =  hypotenuse

4² + 5² = 25 is not equal to the square of 6 which is 36

2² + 3² = 10 . 10  is not equal to the square of 4 which is 16

10² + 20³ = 500. 500  is not equal to the square of 30 which is 900

30² + 40² = 2500. this is equal to the square of 50

Uh plz help ;-;




Plzzzzz

Answers

Answer:

B)

the (8+7) x (10 + 7) x (6 + 4)

Step-by-step explanation:

Answer:

D- (8×10×6) + (7×7×4)

Step-by-step explanation:

The formula for volume is Length×Width×Height.

So you have to find the volume for each one individually then add them up together.

(You can give the other person brainliest if u want.)

Hope it Helps!

:)

What's the gradient of y=3x+1

Answers

Answer:

3

Step-by-step explanation:

y = 3x + 1

This is in slope-y-intercept form: y = mx + c

Gradient = m = 3

Solve to get the value of h

Answers

the answer to the question is h=64 degrees
H=64 degrees :)))))))))))))))))))))

The power generated by an electrical circuit (in watts) as a function of its current ccc (in amperes) is modeled by: P(c)=-20(c-3)^2+180P(c)=−20(c−3) 2 +180

Answers

Answer:

The current that produces maximum power is 3A

Step-by-step explanation:

Given

[tex]P(c) = 20(c - 3)^2[/tex]

Required [Missing from the question]

The current that produces maximum power

First, we represent the function in standard form

[tex]P(c) = 20(c - 3)^2[/tex]

[tex]P(c) = 20(c - 3)(c - 3)[/tex]

Open bracket

[tex]P(c) = 20(c^2 -6c+ 9)[/tex]

[tex]P(c) = 20c^2 -120c+ 180[/tex]

The maximum value of c is:

[tex]Max(c) = \frac{-b}{2a}[/tex]

Where:

[tex]f(x) = ax^2 + b^2 + c[/tex]

By comparison: [tex]P(c) = 20c^2 -120c+ 180[/tex]

[tex]a = 20[/tex]

[tex]b = -120[/tex]

[tex]c = 180[/tex]

So, we have:

[tex]Max(c) = \frac{-b}{2a}[/tex]

[tex]Max(c) = \frac{-(-120)}{2 * 20}[/tex]

[tex]Max(c) = \frac{120}{40}[/tex]

[tex]Max(c) = 3[/tex]

Solve 5.x + 6 = 20.
The solution is x

Answers

Answer:

2.8

Step-by-step explanation:

5x = 20 - 6

5x/5 = 14/5

x = 2.8

what's the circumference of a circle with the radius of 7 ft use 3.14 for π​

Answers

Answer:

7 x 3.14 x 2 = 43.96 ft

Step-by-step explanation:

Formula of Circumference:

pi(3.14 or 22/7 depending on what they tell you to use for pi) x 2 x r(given radius or half your diameter

According to a town's census a household's number of visits to a gas station has a mode of 3 visits per week. Jane surveys 20
homes in her neighborhood and finds the mode to be 6 visits. How can she get her survey statistics to more closely approximate
the population parameters?
A)
Choose some different houses to survey.
B)
Get a more random sample from the town.
C
Increase the number of houses that she surveys.
D)
Recalculate because she must have made a mistake.

Answers

Answer:B Get a more random person sample from the town

Step-by-step explanation:

To the nearest tenth, which is the BEST estimate for the volume of the given pyramid?

Answers

Answer:

4.2 cubic inches

Step-by-step explanation:

Find the diagram attached

Volume of the rectangular pyramid = BH/3

B is the base area

H is the height of the pyramid

Given

Base area = 3.2in * 1.4in

Base area = 4.48sq. in

Height = 2.8in

Volume of the rectangular pyramid = 4.48*2.8/3

Volume of the rectangular pyramid = 12.544/3

Volume of the rectangular pyramid = 4.2 cubic inches

Workers load 5 identical large crates and 3 identical small crates onto a freight elevator. The crates have a combined weight of 1375 pounds. Later
that day, the workers load 3 more identical large crates and 6 more identical small crates onto the freight elevator. These crates have a combined
weight of 1350 pounds.

Answers

Answer: The total would be 40.53

Step-by-step explanation:

What type of data distribution is shown on the graph? A bar graph has x on the x-axis, from 0 to 4, and P x (x) on the y-axis, from 0 to 0.5 in 0.1 increments. The probability of 0 is 0.01, the probability of 1 is 0.25, the probability of 2 is 0.3, the probability of 3, is 0.4, and the probability of 4 is 0.02.

Answers

Answer:

1.A

2.B

3.A

Step-by-step explanation:

edge 2021 yw :)

Answer:

1. a

2. b

3. a

Step-by-step explanation:

3 Simplify 3e - e + 4e

Answers

6e combine like terms

Which angles are adjacent angles?

Answers

Answer:

<KLN and <MLN

Step-by-step explanation:

adjacent angles have a common vertex and a common side

what is the mean of the following data values? 53,71,89,10,87

Answers

Answer:

63

Step-by-step explanation:

Mean=Sum of all values/number of observation

=53+71+89+10+87/5

=310/5

=62

It's 62

Just took test

Im doing an extra practice and need help with this one problem

Answers

Answer:

it might be this 8.74777778 im not sure if it is tho so if im wrong then im sorry

Step-by-step explanation:

Drag expressions into order to show a way to find 4 × 3/8

Answers

Step-by-step explanation:

[tex]4 \times \frac{3}{8} [/tex]

[tex] \frac{4}{1} \times \frac{3}{8} [/tex]

=12/8

=1 4/8=

= 1 1/2

PLEASE HELP! WILL MARK BRAINLIEST!


The path of a seat on a new Ferris wheel is modeled by x = –25sin(StartFraction pi Over 30 EndFraction t) and y = –25cos(StartFraction pi Over 30 EndFraction t) + 30, where distances are measured in feet. What is the maximum height a rider will experience?


50 feet

55 feet

60 feet

80 feet

Answers

Answer:

The maximum height a rider will experience is 55 feet.

Step-by-step explanation:

Let's start writing the function that defines the path of a seat on the new Ferris wheel. This function will depend of the variable ''t'' which is time.

[tex]X(t)=(x,y)[/tex]

In which [tex]X(t)[/tex] are the coordinates of the seat (the x - coordinate and the y - coordinate) that depend from time.

[tex]''x''[/tex] and [tex]''y''[/tex] are functions that depend from the variable ''t''.

For this exercise :

[tex]X(t)=[-25sin(\frac{\pi}{30}t);-25cos(\frac{\pi}{30}t)+30][/tex]

In order to find the maximum height a rider will experience we will study the behaviour of the y - component from the function [tex]X(t)[/tex].

The function to study is [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]

To find its maximum, we will derivate this function and equalize it to 0. Doing this, we will find the ''critical points'' from the function.

⇒ [tex]y(t)=-25cos(\frac{\pi}{30}t)+30[/tex]  ⇒

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex]

Now we equalize [tex]y'(t)[/tex] to 0 ⇒

[tex]y'(t)=0[/tex] ⇒ [tex]\frac{5}{6}\pi sin(\frac{\pi}{30}t)=0[/tex]

In this case it is easier to look for the values of ''t'' that verify :

[tex]sin(\frac{\pi}{30}t)=0[/tex]

Now we need to find the values of ''t''. We know that :

[tex]sin(0)=0\\\\sin(\pi)=0\\sin(-\pi)=0[/tex]

Therefore we can write the following equivalent equations :

[tex]\frac{\pi}{30}t=0[/tex] (I)

[tex]\frac{\pi}{30}t=\pi[/tex] (II)

[tex]\frac{\pi}{30}t=-\pi[/tex] (III)

From (I) we obtain [tex]t_{1}=0[/tex]

From (II) we obtain [tex]t_{2}=30[/tex]

And finally from (III) we obtain [tex]t_{3}=-30[/tex]

We found the three critical points of [tex]y(t)[/tex]. To see if they are either maximum or minimum we will use the second derivative test. Let's calculate the second derivate of [tex]y(t)[/tex] :

[tex]y'(t)=\frac{5}{6}\pi sin(\frac{\pi}{30}t)[/tex] ⇒

[tex]y''(t)=\frac{\pi ^{2}}{36}cos(\frac{\pi }{30}t)[/tex]

Now given that we have an arbitrary critical point ''[tex]t_{n}[/tex]'' ⇒

If [tex]y''(t_{n})>0[/tex]  then we will have a minimun at [tex]t_{n}[/tex]

If [tex]y''(t_{n})<0[/tex] then we will have a maximum at [tex]t_{n}[/tex]

Using the second derivative test with [tex]t_{1},t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y''(t_{1})=y''(0)=\frac{\pi ^{2}}{36} >0[/tex] ⇒ We have a minimum for [tex]t_{1}=0[/tex]

[tex]y''(t_{2})=y''(30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{2}=30[/tex]

[tex]y''(t_{3})=y''(-30)=\frac{-\pi^{2}}{36}<0[/tex] ⇒ We have a maximum for [tex]t_{3}=-30[/tex]

The last step for this exercise will be to find the values of the maximums.

We can do this by replacing in the equation of [tex]y(t)[/tex] the critical points [tex]t_{2}[/tex] and [tex]t_{3}[/tex] ⇒

[tex]y(t_{2})=y(30)=55[/tex]

[tex]y(t_{3})=y(-30)=55[/tex]

We found out that the maximum height a rider will experience is 55 feet.

Answer:

B

Step-by-step explanation:

What percent of data is less than 20?

Answers

Answer:

100%

Step-by-step explanation:

The answer is 100% because all of the numbers in the data are less than 20. Therefore 100% of the data is less than 20.

b.r.uh. these ch.a..t links be t.ripping

Answers

Answer: Ok so that is a fact for sure

Answer:

yup

Step-by-step explanation:

5.) Tiffany is building a model of her bedroom. She is using a scale factor of 1 foot in her room to 0.5 inch in the model. if her bed is 3 feet wide, six and a half feet long, and one and a half feet tall, what size should she make the model of her bed?​

Answers

The size of the bread is something i don’t know because no I in 6

1.      If α and β are the zeroes of a polynomial such that α + β = -6 and αβ = 5, then find the polynomial. ​

Answers

Answer:

[tex] {x}^{2} + 6x + 5[/tex]

Step-by-step explanation:

Required polynomial

[tex] {x}^{2} - ( \alpha + \beta )x + \alpha \beta \\ \\ = {x}^{2} - ( - 6)x + 5 \\ \\ = {x}^{2} + 6x + 5[/tex]


What is the slope of the line?
please help i put the picture here

Answers

the slope is y= -3x + 4

Pls help is it; (1.5, 2) or no solution

Answers

Answer:

no solution?

Step-by-step explanation:

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