Solve x(x - 2) = 4
Using quadratic formula

(Show step by step for the answer because I gotta show my work)

Answers

Answer 1

Answer:

x = 1 ± [tex]\sqrt{5}[/tex]

Step-by-step explanation:

x(x - 2) = 4

Multiply x on the left side by foil.

[tex]x^{2}- 2x = 4[/tex]

Subtract 4 on both sides.

[tex]x^{2} -2x-4=0[/tex]

Now, the quadratic formula.

x = (-b ± [tex]\sqrt{b^{2} - 4ac }[/tex]) / 2a

Using the standard form equation.

Ax² + Bx + C = 0

(1)x² - 2x - 4 = 0

A = 1

B = -2

C = -4

x = (-(-2) ± [tex]\sqrt{(-2)^{2}-4(1)(-4) }[/tex]) / 2(1)

x = (2 ±[tex]\sqrt{4+16}[/tex] ) / 2

x = (2±[tex]\sqrt{20}[/tex])/2

x = (2±2[tex]\sqrt{5}[/tex])/2

x = 1 ± [tex]\sqrt{5}[/tex]


Related Questions

HELP ME!! The population of a city is modeled with the function P=250,000e^0.013t​, where t is the number of years since 2000. In what year will the population reach ​450,000?

Answers

Answer:

250,000e^0.013t, where t is the number of years since 2000. In what year will the population reach 450,000?

CSM Tech Publishing has added a branch office with about 50 users. The HR Department has given you a spreadsheet with the employee information that includes the employee name, office location, department, title, and so forth. Describe at least two different methods you can use to add these user accounts to Active Directory that don't involve manual creation of each account from scratch

Answers

The two (2) methods that can be used to add these user accounts to Active Directory are:

PowerShellBatch file

What is account management?

Account management can be defined as a process through which administrators store, manage, monitor and optimize a database (accounts) on a computer system, especially for improved performance, availability and security.

In a database management system (DBMS), when many user accounts require an action, it is often most efficient and effective for the administrator to use an automatic method to perform the action.

In this context, the two (2) methods that can be used to add these user accounts to Active Directory without a manual creation of each account from scratch include the following:

PowerShellBatch file

Read more on PowerShell here: https://brainly.com/question/4252986

DOK 4
Analyze the student's solution and write a sentence for each error the student has made. (A
[7-8]) *

Answers

Answer:

[tex]\log_{12}144=2[/tex]

Rewrite 144=[tex]12^{2}[/tex] in a different form:

[tex]\Downarrow[/tex]

[tex]\log_{12}144=2[/tex]

I hope this helps you

:)

In the function f(x) = (x - 2)2 + 4, the minimum value occurs when x is​

Answers

Answer:

x=2

Step-by-step explanation:

The minimum value of the function would be its vertex, where the x-coordinate is defined as [tex]x=-\frac{b}{2a}[/tex] in the form of [tex]ax^2+bx+c=0[/tex], so we expand the function first:

[tex]f(x)=(x-2)^2+4\\\\f(x)=x^2-4x+4+4\\\\f(x)=x^2-4x+8[/tex]

This is now in the form of [tex]ax^2+bx+c=0[/tex] and we use our rule:

[tex]x=-\frac{b}{2a}\\ \\x=-\frac{-4}{2(1)}\\ \\x=-\frac{-4}{2}\\ \\x=-(-2)\\\\x=2[/tex]

Thus, the minimum value of the function occurs when x=2

Which function is equivalent to y = 4(1 – 2)? +10? Oy=412 - 40 + 14 Oy=4.62 - 160 +26 Oy=42+ 14 Oy=412 - 161 +56​

Answers

I have no idea what any of this means 187 I just want points

Find the area of the larger sector.
6 in
O 30°

Answers

Answer:=103.67in^2

Step-by-step explanation:
Sector area= r^2×a/2
. =36×0.5233 /2
Asector= 9.42in^2
Area of circle= πr^2
. =3.14×36
area of circle = 113.097in^2
Area of larger sector = area of circle- area of Sector
Area of larger sector
=113.097in^2 - 9.42in^2
=103.67in^2

please someone tell me the answers to these I dont remember how to do it ​

Answers

Answer:

1)  (3 - 6x)(-8) = (-8)(3) - (-8)(6x) = -24 - (-48x) = -24 + 48x = 48x - 24

2) (-12)(2x - 3) = (-12)(2x) - (-12)(3) = -24x - (-36) = -24x + 36 = 36 -  24x

3) (10 - 2x)9 = (9)(10) - (9)(2x) = 90 - 18x

4) (-5)(11x - 2) = (-5)(11x) - (-5)(2) = -55x - (-10) = -55x + 10 = 10 - 55x

5) (1 - 9x)(-10) = (-10)(1) - (-10)(9x) = -10 - (-90x) = -10 + 90x = 90x - 10

6) (-6)(x + 8) = (-6)(x) + (-6)(8) = -6x + (-48) = -6x - 48

7) (-4 + 3x)(-8) = (-8)(-4) + (-8)(3x) = 32 + (-24x) = 32 - 24x

8) (-5)(1 - 11x) = (-5)(1) - (-5)(11x) = -5 - (-55x) = -5 + 55x = 55x -5

9) (-12x + 14)(-5) = (-5)(-12x) + (-5)(14) = 60x + (-70) = 60x - 70

Step-by-step explanation:

The distributive property is a(b + c) = ab + ac

IM CONFUSED LOL...................

Answers

Answer: three more

Step-by-step explanation:

these are tally marks, one tally mark counts as one, during the fifth mark, it goes sideways across the other four. There are three more students who wanted cookies rather than popcorn because when you minus the numbers of students cookies from popcorn, you get three

Hope this helps

Please give brainliest

Thank you so much

Which cream cheese has the lowest price per ounce?

$5.29 for 14 oz

$2.59 for 6 oz

$4.29 for 12 oz

$2.89 for 8 oz

Answers

Answer:

C

Step-by-step explanation:

$4.29 for 12 oz

12 = 4.29

1 = ??
(1 * 4.29)/12 = 4.29/12 = 0.3575 is the lowest amongst others

The answer is C

Here is some help

I need help quickly!!

Answers

Answer:

c. 73°

Step-by-step explanation:

Simply GNH is 47° by vertically opposite angle of MNL

NOW,

GNF+GNH+HNK=180° [ being straight line]

60+47+HNK=180

107+HNK=180

HNK=180-107=73

C. 73 degrees hope this helps

In the figure shown, P is the circumcenter of XYZ, PY=5x-4, and PZ=4x+11. Find PX.

Answers

Answer: 71

Step-by-step explanation:

What happens when the slope increases? Write 4 sentence's

Answers

Answer:

The higher the slope, the steeper it is, the faster it increases. The faster we increase in the vertical direction as we increase in the horizontal direction. The graph of an increasing function has a positive slope. A line with a positive slope slants upward from left to right as in (a).

Step-by-step explanation:

Pls, choose me as brainliest!

I NEED HELP! THIS IS DUE TODAY! I don’t understand this and I don’t have any idea how to find the measure of the angles.

Answers

Answer:

2= 43°

1=137°

3= 137°

Step-by-step explanation:

.this is because 43° and 2 are vertically opposite angles.

.this is because 1 and 43° are on a straight line and angles on a straight line sum up to 180°.

.this is because 1 and 3 are vertically opposite angles.


Which expression(s) are factors of -15abc - 45ab + 20abc?

Answers

Answer:

-5ab, 5ab, and ab.

Step-by-step explanation:

The 2 above regular hexagons are similar. (see figures) The smaller hexagon was
increased by a factor of 5:7. What is the length of each side of the larger hexagon?

Answers

The smaller and the larger hexagons both have 6 sides

The length of each side of the larger hexagon

How to determine the length of each side of the larger hexagon

The given parameters are:

Smaller side, l =  10

Scale factor = 5 : 7

Represent the length of each side of the larger hexagon with L.

So, we have:

l : L = 5 : 7

Substitute 10 for l

10 : L = 5 : 7

Multiply the ratio by 2

10 : L = 5 *2 : 7  *2

Evaluate the product

10 : L = 10 : 14

By comparison, we have:

L = 14

Hence, the length of each side of the larger hexagon

Read more about scale factors at:

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The diagram shows a sketch of the curve y = sin xº.
YA
Р
Q
x
a) Write down the coordinates of the point P.
b) Write down the coordinates of the point Q.
]
Feedback

Answers

Answer:

Point P is [tex](\frac{\pi}{2},1)[/tex]

Point Q is [tex](\pi,0)[/tex]

Step-by-step explanation:

We know that the function [tex]y=sin(x)[/tex] has a period of [tex]2\pi[/tex] and that it oscillates between [tex]-1\leq y\leq1[/tex]. So, point P must be [tex](\frac{\pi}{2},1)[/tex], and point Q must be [tex](\pi,0)[/tex].

The diameter of a cylinder is 5 yd. The height is 4 yd. volume of the​ cylinder? Find the volume of the cylinder.

Answers

Answer:

Using volume formula in terms of cylinder and use units such as yd carefully for conversions

Step-by-step explanation:

Diameter = 3 yd

Radius (r) = 3/2 = 1.5 yd

height (h) = 4 yd

Volume (V) = πr²h

                 =π * (1.5)² * 4 =π *2.25 *4

                 = 9π cubic yd

Volume of cylinder is 78.5 cubic yd.Explanation :

Given :-

Diameter of cylinder = 5 ydHeight of cylinder = 4 yd

To Find :-

Volume of cylinder?

Solution :-

Firstly lets calculate radius of cylinder, as we know that;

Radius = Diameter/2

Putting all values we get;

➸ Radius = 5/2

Radius = 2.5 yd

Now let's calculate its volume, as we know that;

Volume of cylinder = πr²h

Putting all values we get;

➸ Volume(cylinder) = 3.14 × (2.5)² × 4

We can write it as;

➸ Volume(cylinder) = 3.14 × 4 × 2.5 × 2.5

➸ Volume(cylinder) = 12.56 × 6.25

➸ Volume(cylinder) = 78.5 cubic yd

Hence, volume of cylinder is 78.5 cubic yd.

A sports trainer has monthly costs of $65. 94 for phone service and $42. 23 for his website and advertising. In addition, he pays a $30 fee to the gym for each session in which he trains a client. Write a cost function to represent the C(x) for x training sessions. C(x) =

Answers

Answer:

C(x) = 30x + 108.17

Hope this helps!

x = training sessions

$30 for each session (x) (independent variable)

$65. 94 and $42. 23 for monthly costs (fixed variable)

C(x) = 30x + (65.94+42.23)

C(x) = 30x + 108.17

Functions! Help with number 3 please!!!

Answers

Answer: 20

Step-by-step explanation:

Assuming g(x) = -4x + 1,

( -4 (-4) + 1) - (-4 + 1)

= (16 + 1) - (-3)
= 17 + 3

= 20

A printer wants to put 54 square inches of text into a rectangle on an 8 by 11 sheet of paper. She wants the text to be surrounded by a border of constant width. Which equation could be used to find the width of the border, x?

Please help I will give a lot of points.

Answers

By solving a quadratic equation, we will see that the border must measure 1 inch.

How to find the value of x?

The dimensions of the paper are 8 inches by 11 inches. If we have a border of width X all around the text, the dimensions of the text will be:

8 in - 2x by 11in - 2x.

The area of this rectangle will be:

A = (8 in - 2x)*(11in - 2x)

And we know that the area must be 54 square inches, then we need to solve:

54 in^2 =  (8 in - 2x)*(11in - 2x)

54 in^2 = 88 in^2 - (2x)*8in - (2x)*11in + 4x^2

54 in^2 = 88 in^2 - (38 in)*x + 4x^2

This is a quadratic equation, we can rewrite this as:

0 = 4x^2 - (38 in)*x + 88 in^2 - 54 in^2

0 = 4x^2 - (38 in)*x + 34 in^2

The solutions are given by Bhaskara's formula, these are:

[tex]x = \frac{-(-38 in) \pm \sqrt{(-38 in)^2 - 4*4*(34 in)^2} }{2*4} \\\\x = \frac{-(-38 in) \pm 30 in }{8} \\[/tex]

We only care for the solution that is on the wanted range, so we use the negative sign of the plus-minus sign.

x = (38 in - 30 in)/ = 1 in

So the border must measure 1 inch.

If you want to learn more about quadratic equations, you can read:

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If it takes 2.3 liters of milk to make 2 pounds of cheese, how many pounds of cheese can you make with 50 liters of milk?

Answers

Answer:

10.9 pounds

Step-by-step explanation:

50 ÷ (2.3*2) = 10.869

i someone help me solve this

Answers

Answer: 175x + 20 ✅

Step-by-step explanation: 12x^2 + 31x = 175x

175x + 20

Answer:

I'm not sure what the question is.  I don't see an "=" sign, so I'll assume this is simply an expression and we are asked to factor it.

(4x+5)(3x+4)

Step-by-step explanation:

(4x+5)(3x+4) = 12x^2 + 31x + 20

If the equation is = 0, the solutions are x = -(3/4) and x = -(5/4)

Yesterday your math homework to Q 35 minutes and your English homework. Tookie 15 minutes today your math homework take you 25 minutes and your English homework to do 30 minutes. What percent of your homework time yesterday we spent on English?

Answers

Answer:

  30%

Step-by-step explanation:

To find the percentage spent on English, divide the amount of time spent on English by the total time, and express the fraction as a percent.

  Yesterday's time: Math, 35 minutes; English, 15 minutes

  English/Total = (15)/(15 +35) = 15/50 = 3/10

As a percentage, that is ...

  3/10 × 100% = 30%

Yesterday, you spent 30% of your homework time on English.

Which of the following conditions make a pair of triangles congruent?

Answers

Step-by-step explanation:

Two corresponding sides and two corresponding angles are equal

find the area of a circle with the diameter of 10 cm

Answers

Answer:

In terms of pi: 100pi cm

In terms of 3.14: 314 cm

Step-by-step explanation:

The formula for area of a circle is pi*r². If we plug in the values, we can figure out the answer.

Find the total area of the solid figure. 54 + 9√3/2 46 + 9√2/2 64 + 9√3/2 72+ 2√3/9​

Answers

Answer:

Step-by-step explanation

1/4s squared, square root of 32

bh3. A = pi(r) squared4

1/2 h (b1+ b2)5

pi(d)6 base x altitude7

1/2(ap)8

1/2(bh)

A set of data has a mean of 12 and a standard deviation of 3. A data point of the set has a z-score of 1. 3. What does a z-score of 1. 3 mean?.

Answers

Answer:

cccccccccccccccccccc

Step-by-step explanation:

cccccccccccccccccccccccc

ratio 90kg to 2 : 3 : 7

Answers

Answer:

Please follow me back

Step-by-step explanation:

The Answer is 158

This should be the last of my questions today

Answers

Answer:
PKQ= 52°
Step-by-step explanation:
x= 38°(given)
substitute x value to the equation x+14 (measure of MKN)
MKN angle = 52°
MKN = PKQ (vertically opposite Angles are equal)
Therefore PKQ angle= 52°
Hope this is helpful =)

Please help (brainliest) 40 points

Answers

Answer:

So longest side is 6 units more then the shorter side

The third side is twice the length of the shortest side

The perimeter (all 3 sides added up) is 25.

What’s the 3 sides of the triangle.

So lets make variables.

Let’s make the shortest side of the triangle “s”.

The longest side is 6 units more then the shorter side so

S + 6 is the longest side.

The third side is twice the length of the shortest side so

2S is the third side

S of course is already the shortest side now solve.

s + 6 + 2s + s = 25 <— This is your equation

Now solve

4s + 6 =25

4s = 19

s = 4.75

The shortest side is 4.75

The longest side is 4.75 + 6 which is 10.75

The third side is 2 times the shortest side which is 4.75 * 2 which is 9.50

Answer:

Perimeter of a shape = sum of length of all sides

Let x = shortest side

Given:

shortest side = xlongest side = x + 6third side = 2xperimeter = 25

⇒ perimeter:   x + (x + 6) + 2x = 25

                                      4x + 6 = 25

                                             4x = 19

                                               x = 4.75

Therefore,

shortest side = 4.75 unitslongest side = 10.75 unitsthird side = 9.5 units

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