complete the square to solve
f(x)=x^2-6x+5​

Answers

Answer 1
Answer: See below

Explanation:

x^2 - 6x + 5 = 0
(x^2 - 6x + 9) + 5 - 9 = 0
(x - 3)(x - 3) - 4 = 0
(x - 3)^2 = 4
x - 3 = +-2 (sqrt both sides)

x - 3 = 2
x = 5

x - 3 = -2
x = 1


Related Questions

I don’t understand how taxes and discounts work in math, could someone explain to me?

Answers

Some additional context would be helpful in providing a complete answer. But the basic idea is this:

• Object ABC has a price X set on it.

• Hey, ABC is on sale! Let's say there's a 20% discount. That means 20% of the price X is subtracted from X.

• Boo, there's a 15% sales tax! This means whatever you would pay for ABC, discount included, you will ultimately have to pay an additional 15% of, or 0.15 times, that amount in tax.

Suppose you're looking to buy a T-shirt. The price tag on says it costs $25, but there's a 20% discount and a 15% sales tax.

• The discount has a value of 0.2 ($25) = $5. Subtract this from the original price, and its discounted price is $20.

• The sales tax is applied to this discounted price, and comes out to 0.15 ($20) = $3. This gets added to the discounted price, so you end up paying $23.

Simplify the given expression below:
(1 + 3) + (2 - 5i)

Answers

Answer:

6 -5i

Step-by-step explanation:

(1 + 3) + (2 - 5i)

Combine like terms

1+3+2    -5i

6 -5i

please help asap if possible!!​

Answers

Answer:

Does the answer help you?

Two angles together form a straight line, which is 180 degrees. Both angles are congruent. What do they measure?
O 180 degrees
O 90 degrees
O There's no way to tell.

Answers

Answer:

90 degrees

Step-by-step explanation:

Two angles form a straight line which is 180 degrees.

The two angles are congruent ( or equal to each other )

Let x = measure of one of the angles.

180 = 2x

Divide both sides by 2

180/2 = 90

2x / 2 = x

x = 90

The measure of both angles are 90 degrees

Answer:

It’s 90

Step-by-step explanation:

Sorry I’m in a hurry right now sorry if I didn’t give you the explanation I’m running while typing this

divide 1725 by 102 show work please

Answers

Answer:

16.91176471

Step-by-step explanation:

1725÷102

= 16.91176471

Ohm's law states That the current That the current (I) In amps equals the voltage (E) In volts divided by the resistance (R) in ohms. If you connected a two megohm resistor (2 x 10 6 ohms) Across a 2.4 kilovolt Voltage source parentheses 2.4Times 10 to the third power volts) What would be the current in amps

Answers

Answer:

1.2 milli amps

Step-by-step explanation:

From ohms law the expression for voltage is given as

[tex]V= IR[/tex]

Now given that

Voltage, V= [tex]2.4*10^3[/tex] volts

Resistance R= [tex]2*10^6[/tex] ohms

Applying ohms law the current can be calculated by making I the subject of formula

that is I= V/R

[tex]I= \frac{2.4*10^3}{2*10^6} \\\\I= \frac{2.4}{2} *10^(^3^-^6^)\\\\I=1.2*10^-^3[/tex]

The current in amps is 1.2 milli amps

Please help me with my work

Answers

Answer:

8*4+3*2

Step-by-step explanation:

Answer:

38. hope i'm right

Step-by-step explanation:

Triangle ABC with vertices A(-4, 2), B(4,7), and
C(5, 1) in the x-axis.
A’
B’
C’
D’

Answers

9514 1404 393

Answer:

  A'(-4, -2), B'(4, -7), C'(5, -1)

Step-by-step explanation:

Reflection in the x-axis changes the sign of each y-coordinate.

  (x, y) ⇒ (x, -y)

  A(-4, 2) ⇒ A'(-4, -2)

  B(4, 7) ⇒ B'(4, -7)

  C(5, 1) ⇒ C'(5, -1)

PLZ HELP ASAP!!!!!!!!!
WILL MARK BRAINLIST!!

Answers

I’m pretty sure the answer you have picked is right


What is the length of the leaf to the nearest fourth-inch?
inches

Answers

It is 2 inches my guy

Simplify the following leave the answer in radical notation:

Please explain!!

1. Square root of (125x^2y^7)

2. Cubed root of (24x^3y8)

Answers

Answer:

1- 5xy³√5y

2- 2xy²∛3y²

Step-by-step explanation:

√125x²y^7=

√25*5x²y^6y

5xy³√5y

2) ∛24x³y^8=

∛2³*3x³y^8=

2xy²∛3y²

How to do this question plz answer me step by step plzz plz ​

Answers

Answer:

24.99 cm

Step-by-step explanation:

We are provided with the radius of the circle so we can use that to solve for the circumference(perimeter) of the circle. The formula to solve for the circumference is 2*pi*r.

2*pi*7 = 14pi = 43.98 cm

Although this is the circumference of the entire circle... To solve for the circumference of a quarter-circle we must find the quarter of that:

43.98 * 1/4 = 10.99 cm

We are already provided with the other two sides, which are both equal to 7 cm since they are radii.

Perimeter = 10.99 +7 + 7 = 24.99 cm

Hope this helps!

Select the correct answer.
The function g(x) = x2 is transformed to obtain function h:

h(x) = g(x − 3).

Which statement describes how the graph of h is different from the graph of g?

A.
The graph of h is the graph of g vertically shifted up 3 units.
B.
The graph of h is the graph of g horizontally shifted right 3 units.
C.
The graph of h is the graph of g horizontally shifted left 3 units.
D.
The graph of h is the graph of g vertically shifted down 3 units.

Answers

Answer:

B

Step-by-step explanation:

Given g(x) then g(x + a) is a horizontal translation of g(x)

• If a > 0 then a shift to the left of a units

• If a < 0 then a shift to the right of a units

h(x) = g(x - 3) = (x - 3)² with a < 0

The graph of h(x) is the graph of g(x) horizontally shifted right 3 units

Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 3150 . i. Sketch Musah's movement [Mark 4] ii. How far west is Musah's final point from the centre?

Answers

Answer:

Musah's final point from the centre = 60.355 steps

Step-by-step explanation:

From the given information:

Musah stands at the centre of a rectangular field. He first takes 50 steps north, then 25 steps west and finally 50 steps on a bearing of 315°

The sketch for this information can be seen in the attached file below.

How far west is Musah's final point from the centre?

In order to determine how far west  is Musah's,

Let d be the distance of how far;

Then d = QR + RS cos θ

In the North West direction,

cos θ = cos 45°

d = 25 + 50( cos 45°)

d = 25 + 50( [tex]\dfrac{1}{\sqrt{2}}[/tex] )

d = 25 + 50( 0.7071)

d =25 + 35.355

d = 60.355 steps

Musah's final point from the centre = 60.355 steps

what is the common number to be subtracted from each term of the ratio 11:8 to get the new ratio 2:1.?​

Answers

Answer:

5 should be subtracted  from each term

Step-by-step explanation:

[tex]\frac{11-x}{8-x}=\frac{2}{1}[/tex]

Cross multiply,

1 * (11 - x) = 2*(8-x)

11 -x = 2*8 - 2*x

11 - x = 16 - 2x

Subtract 11 from both sides,

-x = 16 - 2x - 11

-x = 5 - 2x

Add 2x to both sides

-x +2x = 5 - 2 + 2x

x = 5

Answer ASAP, will give brainliest!!

Answers

Answer:

Step-by-step explanation:

77; The formula to calculating the area of a trapezoid is (a+b)/2 * c. a+b are the 2 parallel lines, and c is the height or the altitude. So, it is (10+12)/2 * 7, which is 22/2 * 7 = 11*7=77 :)

Consider f(x) = 3x2 + 4 and g(x) = 2x − 3. Which statements about f + g are true? Select all that apply. A. The domain is all real numbers. B. The range is all real numbers. C. It is a linear function. D. It is a quadratic function.

PLEASE HELP

Answers

Answer:

B. The range is all real numbers. D. It is a quadratic function.

Step-by-step explanation:

Given the functions  f(x) =  3x² + 4 and g(x) = 2x − 3, to know that statements that is  true about f+g, we will need to add the functions together first.

f(x)+g(x) = 3x² + 4 + 2x - 3

f(x)+g(x) = 3x²+2x +4 - 3

f(x)+g(x)  = 3x²+2x + 1

The highest degree of a quadratic function is 2 and since the highest degree of the resulting function is 2, hence the resulting sum of the equations is quadratic.

Also the range of the values is all real numbers because the presence of x² in the function will always return a positive value greater than x.

Hence the correct statements are 'the range is all real numbers and it is a quadratic function'

Answer:

B AND D

Step-by-step explanation:

*PLEASE ANSWER TY* What is the volume of this prism?

Answers

Answer:

80 cube units

Step-by-step explanation:

How do l solve this HELP pls

Answers

As its a Quadrilateral

Using angle sum property

[tex]\\ \sf\longmapsto 15x-5+65+100+95=360[/tex]

[tex]\\ \sf\longmapsto 15x+60+195=360[/tex]

[tex]\\ \sf\longmapsto 15x+255=360[/tex]

[tex]\\ \sf\longmapsto 15x=360-255[/tex]

[tex]\\ \sf\longmapsto 15x=105[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{105}{15}[/tex]

[tex]\\ \sf\longmapsto x=7[/tex]

The angle sum property of a quadrilateral

The sum of angles of a quadrilateral is 360°

⇛ ∠E + ∠F + ∠G + ∠H = 360°

Solution

[tex]\bf{\pink{ \implies}} \: \tt \: 95 \degree \: + \: 100 \degree \: + \: 65 \degree \: + \: (15x - 5) \degree \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:260 \degree \: - \: 5 \: + \: 15x \: = \:360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:255 \degree \: + \: 15x \: = \: 360 \degree[/tex]

[tex]\bf{\pink{ \implies}} \: \tt \:15x \: = \: 360 \degree \: - \: 255 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:15x \: = \: 105 \degree[/tex]

[tex]\large\bf{\pink{ \implies}} \: \tt \:x \: = \: \frac{ \cancel{105 \degree} \: \: ^{7 \degree} }{ \cancel{15}} [/tex]

[tex]\large\bf{\pink{ \implies}} \: \bf \: \: x \: = \: 7 \degree[/tex]

In the following diagram, {HI}


start overline, H, I, end overline is parallel to {JK}


start overline, J, K, end overline.

What is the measure of

Angles are not necessarily drawn to scale.

Answers

Sum of interiors =exterior angle

[tex]\\ \sf\longmapsto <I=56+66[/tex]

Add both

[tex]\\ \sf\longmapsto <I=122[/tex]

Now

[tex]\\ \sf\longmapsto I+x=180[/tex]

[tex]\\ \sf\longmapsto x+122=180[/tex]

[tex]\\ \sf\longmapsto x=180-122[/tex]

[tex]\\ \sf\longmapsto x=58[/tex]

The measure of x° is 58° .

What are corresponding angles?

The corresponding angles definition tells us that when two parallel lines are intersected by a third one, the angles that occupy the same relative position at each intersection are known to be corresponding angles to each other.

What is corresponding angles theorem?

According to the corresponding angles theorem, the statement “If a line intersects two parallel lines, then the corresponding angles in the two intersection regions are congruent”  

According to the question

In the triangle AHI  

∠A = 66°

∠H = 56°

By using sum of angle of triangle = 180°  

∠A + ∠H + ∠I  = 180°  

66° + 56° + ∠I  = 180°

∠I  = 180° - 122°

∠I  = 58°

As , given HI is parallel to JK

Now,

According to the corresponding angles theorem

If a line intersects two parallel lines, then the corresponding angles in the two intersection regions are congruent .

Therefore,

∠I  = ∠K = x°  

i.e

x° = 58°

Hence, the measure of x° is 58° .

To know more about corresponding angles theorem here:

https://brainly.com/question/16987080

#SPJ2

plz help ASAP! last question thank u

Answers

Answer:

The correct Option is Option A

Step-by-step explanation:

Solve for y
8+3y=-17
Simplify your answer as much as possible.

Answers

8+3y=-17
Subtract 8 from both sides: 8-8+3y=-17-8
= 3y=-25
Divide 3 from both sides: 3y/3=-25/3
y= -8.3 repeating

Identify the area of sector MOR in terms of π and rounded to the nearest hundredth.

Answers

Answer:

8.98π = 28.22 in^2.

Step-by-step explanation:

Area of the whole circle = πr^2 = 7^2 * π

= 49π

So the area of sector MOR

= (66/360) * 49π

= 8.98π = 28.22 in^2.

ANSWER QUICKLY PLZZZZZZ ASAP
READ QUESTIONS CAREFULLY ​

Answers

The correct answer should be 165 times 10 to the power of three (10^3)

ayuda porfavor cuanto es h+3cm=? y cuanto es b+4cm=? y cual seria el resustado de las dos calculacion

Answers

GOOD MORNING,

HAVE A GREAT DAY AHEAD

Find KL
IJ=9
JK=11
KL?

Answers

Answer:

KL = 6

Step-by-step explanation:

IL = 26

IJ = 9

JK = 11

KL = ?

To find KL

Let KL be x

IJ + JK + KL = IL

9 + 11 + x = 26

20 + x = 26

transpose to find KL that is x

x = 26 - 20

x = 6

therefore KL = 6

Answer:

KL = 6

Step-by-step explanation:

First step is to create an equation

Given: IL = 26

This means that the sum of the segments that make up IL also equal 26

In other words, IJ + JK + KL = 26 ( note that this is the equation that we will use to solve for the missing segment )

Given: IJ = 9 , JK = 11 and KL = ?

To find the length of the missing segment we simply plug in the known segment lengths into the equation we created and solve for the unknown one.

Equation created: IJ + JK + KL = 26

Variables: IJ = 9 , JK = 11 and KL = ?

Plug in variables into equation

9 + 11 + KL = 26

Now solve for KL

Step 1 Combine like terms ( 9 + 11 = 20 )

20 + KL = 26

Step 2 Subtract 20 from both sides

20 - 20 + KL = 26 - 20

KL = 6

And we are done!

A 10 gram sample of a substance that’s used to detect explosives has a k-value of 0.1356.Find the substances half life in days.Round your answer to the nearest tenth.

Answers

Answer:

t ≈ 5.1 days

Step-by-step explanation:

A 10 gram sample of a substance thats used to detect explosives has a k-value of 0.1356. Find the substances half-life in days. round your answer to the nearest tenth. N=N₀ e^-kt N₀= initial mass (at time t = 0) N = mass at time t k= a positive constant that depends on the substance itself and on the units used to measure time t=time in days

The initial condition is that, at time t = 0, the amount of substance contains originally 10 grams

Find the value of N₀

N=N₀ e^-kt

We substitute:

10 = N₀ {e^(-0.1356)*0}

10 = N₀ (e^0)

10=N₀(1)

10=N₀

N₀ = 10

When the substance is in half-life

That is, half of the original substance (5 grams)

Find t

N=N₀ e^-kt

5 = 10 e^(-0.1356*t)

0.5 = e^(-0.1356*t)

Bring down t by multiplying natural log on both sides

ln(0.5) = -0.1356*t

Divide both sides by -0.1356

t = -(ln(0.5) / 0.1356

t ≈ 5.11 days

To the nearest tenth

t ≈ 5.1 days

Answer:

5.1 days in Plato

Step-by-step explanation:

What is the method called on #3

Answers

Answer:

an algorithm method just means a step by step procedure which in this case its means decimal subtraction in number 3.

Step-by-step explanation:

i hope this helps :)

Hello, quick question how do I order 7.2, 7.21, 7.083 to least to greatest? Thank you so much!

Answers

Step-by-step explanation:

7.083, 7.2,and 7.21

This should be the answer

If you apply the changes below to the absolute value parent function, 1(x) = 1X, what is the equation of the new function? Shift 8 units left. • Shift 3 units down. O A. g(x) = (x + 81 - 3 O B. g(x) B. g(x) = (x - 3| + 8 O c. g(x) = [X - 31- 8 D. g(x) = (x - 8 - 3​

Answers

Answer:

A. g(x) = |x + 8| - 3

Step-by-step explanation:

If the function is f(x), then shift 8 units left and 3 units down will result in:

g(x) = f(x + 8) - 3

Apply to the given function to get:

g(x) = |x + 8| - 3

Correct choice is A

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Consider the following polynomial expression: 4x5 - 16x2 + 13x8.Part D: what is the leading term ? | | ..... ...... ...... ..... .... .... ...... ........... answer to this qns ....................... 2x-15=3(2x+3)Its multi step equations If a is an odd integer and b is an even integer, which of the following makes an odd integer?A.) 3bB.) a+3C.) 2(a+b)D.) a+2bExplain your answer 1. Which of the following does law enforcement NOT do to enforce the law? A. Apprehend and detain individuals who violate lawsB. Discover law violationsC. Determine how the law applies to a situationD. Deter law violations What process must happen for clouds to form? Write the domain and range of the function f(x)=3x+5 If you were to climb to the top of the highest peak in the Himalayas and look northeast, which of these physical features would you looking at? Mary Ore and Tobi are to share 142naira such that Ore gets 11naira less than Mary and 7naira more than Tobi . How much is Tobi's share? On November 1, Alan Company signed a 120-day, 10% note payable, with a face value of $11,700. What is the adjusting entry for the accrued interest at December 31 on the note If mowing burns average $115 over 20 minutes how many calories are you burning in one hour Revise the following thesis statement to make it more debatable.Teachers worry about student privacy when using online tools. The U.S. Dairy Industry wants to estimate the mean yearly milk consumption. A sample of 21 people reveals the mean yearly consumption to be 74 gallons with a standard deviation of 16 gallons. Assume that the population distribution is normal. (Use t Distribution Table.)a-1. What is the value of the population mean?16Unknown74a-2. What is the best estimate of this value?Estimate population mean c. For a 90% confidence interval, what is the value of t? (Round your answer to 3 decimal places.)Value of t d. Develop the 90% confidence interval for the population mean. (Round your answers to 3 decimal places.)Confidence interval for the population mean is and .e. Would it be reasonable to conclude that the population mean is 68 gallons?a) Yesb) Noc) It is not possible to tell. roker Bill takes his broker course and passes it. He applies and receives his license on time. He pays all the appropriate fees and he begins his work. (He does not have a four-year degree in real estate.) He is not sure which course or courses he must take to renew his license the first time. What must Broker Bill do? Listed below are numbers of internet users per 100 people and numbers of scientific award winners per 10 million people for different countries. construct a scatterplot, find the value of the linear correlation coefficient r, and find the p-value of r. determine whether there is sufficient evidence to support a claim of linear correlation between the two variables. use a significance level of alpha equals = 0.05 0.05. internet users 78.0 78.0 79.0 79.0 56.2 56.2 68.3 68.3 77.9 77.9 38.2 38.2 award winners 5.5 5.5 8.8 8.8 3.3 3.3 1.7 1.7 10.8 10.8 0.1 0.1 Pls help I am giving brainliest help me ASaP how to minimize flood Kaylees customers seem to be buying less of her freshly baked breads and more of her yogurt parfaits and coffees. She begins to ask customers at the checkout why they made their selection. She learns that many of her customers are choosing a gluten-free diet. She changes her breads and now is selling gluten-free breads and most days sells out. Kaylee used Help ive been stuck on this forever Please help me with this.