Solve 6 + 4x - x², by method of completing the square. (Do not use quadratic formula or factoring. Show your working)

Answers

Answer 1

Answer:

6+4-x^2

Step-by-step explanation:

10-x^2

-x^2+10 is the answer


Related Questions

Draw an ordered stem and leaf diagram to show this information.



245, 250, 251, 253, 258, 264, 267, 269, 273, 276



Key:24|5 means 245.

Answers

Answer:  The filled out diagram is shown below

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

Explanation:

The key tells us how to set up the stem and leaf diagram. It says that [tex]24|5[/tex] represents the value 245.

This means that "24" is one of the stems. In fact, it's the smallest stem possible since there's nothing smaller than 240 on this given list of values.

The only leaf associated with this stem is 5. The stem 24 and the leaf 5 combine to form the number 245 as the key indicates.

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

In the next row is the stem 25. For this stem, we'll have the leaves of: 0, 1, 3, 8. The stem 25 and those leaves mentioned combine to form 250, 251, 253, 258 in that exact order. This time we'll use up four boxes for this row. The last box in this row is blank.

The remaining rows (stems 26 and 27) are handled in pretty much the same fashion. Let me know if you have questions how the boxes are filled in. It helps to start with sorted data from smallest to largest. Luckily, that's already been done for us.

The filled out chart is shown below. I replaced the stems 0,1,2,3 with 24,25,26,27.

A newspaper reports the following changes in the temperature of a city over 4 days: 3.24 degrees Celsius, -3/8 degrees Celsius, -0.15 degrees Celsius, 7/9 degrees Celsius Write an expression to show the average daily change in the temperature of the city. Write the steps to solve the expression. Round your answer to the nearest hundredth. ​

Answers

Answer:

It is 0.873 but rounded to hundredth is 0.87

Step-by-step explanation:

I included a picture on how to solve it, hoped I helped. :)

Answer:

0.873 rounded to the nearest hundredth is 0.87

Step-by-step explanation:

Pls help me answer this question

Answers


x=
d+a
——
b+c
Answer above

If an atom has 5 protons, 7 neutrons and 5 electrons what is the mass number of the atom?
Please help quick!
No links!

Answers

Answer:

7+5=12

Step-by-step explanation:

To calculate the mass number of an atom, you have to add the protons and the neutrons. We have 7 neutrons and 5 protons, so your mass number would be 12. Let me know if you have any further questions. :)

yo ill give brainliest if ur right help pls​

Answers

Answer:

B or C. Im thinking C.

Step-by-step explanation:

Answer:

C, look at the problem and it says plus" directly look at the option and compare.

Step-by-step explanation:

Express in vertex form

Y=2x^2 - 2x - 5

Answers

Answer:

y = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex]

Step-by-step explanation:

y = 2x² - 2x - 5 ← factor out 2 from the first 2 terms

 = 2(x² - x) - 5

Using the method of completing the square

add/subtract (half the coefficient of the x- term)² to x² - x

y = 2(x² + 2(- [tex]\frac{1}{2}[/tex] ) x + [tex]\frac{1}{4}[/tex] - [tex]\frac{1}{4}[/tex] ) - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² + 2(- [tex]\frac{1}{4}[/tex] ) - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{1}{2}[/tex] - 5

  = 2(x - [tex]\frac{1}{2}[/tex] )² - [tex]\frac{11}{2}[/tex] ← in vertex form

 

253 is what percent of 220

Answers

115 is the answer!!!!!!
253 / 220 X 100

115%

line j passes through the point (-4,10) and (2,-8). Line k passes through the point (1,2) and is parallel to line j. Find an equation for line k.

Answers

Answer:

344444444433333338694

Step-by-step explanation:

Answer: y = -3x+5

Step-by-step explanation:

i need the answer for


3-3 Mini Assessment | Constant of Proportionality in Graphs




Question
POSSIBLE POINTS: 1
The relationship between the number of ounces of tea purchased and the total cost of the tea is proportional as shown in the graph.



Which equation models this relationship?


y = 7/4x

y = 4/7x


y = 4/1x


y = 1/4x

Answers

Answer:  y= (7/4)x

Step-by-step explanation:

Build a table of representative values and then calculate the slope between any 2 of the points.   I'll pick (2,3.5) and  (8,14)    [See attachment. ]

The slope is the Rise/Run:

Rise = (14 - 3.5) = 10.5

Run = (8-2) = 6

Slope = Rise/Run:  (10.5/6) = 1.75

The equation should read y = 1.75x.  

None of the options works, as written, but note that 7/4 looks close to 1.75.  In fact, 7/4 = 1.75.

Use the equation y = 1.75x and enter several values of x (the ounces purchased) and y (the total cost of the purchase).  The attachment summarizes the results (Predicted), along with the actual values (Actual) taken from the graph.  Excellent correlation, considering the difficulty in making precise graph readings.

Therefore y = (7/4)x

pls help me for my geometry class

Answers

Answer:

I CANT SEE SRY

Step-by-step explanation:

Solving by Elimination

Answers

Answer:

unsolvable

Step-by-step explanation:

by elemination 14x+7y=-7 (1)

-14x-7y=7 (2)

x and y will be 0 then

randall wants to fill up 40 percent of the scare containers. what is this number as a fraction

Answers

the answer is 4/10 i believe

Answer:

2/5

Step-by-step explanation:

Normally, percentage is expressed in 0 - 100 so for Randall to fill up 40% of his container, that means he'd fill out 40 out of a hundred. That's 40/100 which simplified will give you 2/5

Question 13 of 20
If fx) = 5x- 4 and g(x) = 4x+1, find (f- g)(x).

Answers

Answer:

Step-by-step explanation:

x-5

evaluate the function when x equals -6, 4, 1.

Answers

Answer:

- 26 , 4 , - 5

Step-by-step explanation:

Substitute the given values of x into s(x) , that is

s(- 6) = 3(- 6) - 8 = - 18 - 8 = - 26

s(4) = 3(4) - 8 = 12 - 8 = 4

s(1) = 3(1) - 8 = 3 - 8 = - 5

express the followinf percentage as a fraction
a) 6 3/5%

Answers

Answer:

6.6/100 or 3.3/5

Step-by-step explanation:

6.6% or 6 3/5% now since those are all out of 100 (since percentages) you just put #/100 and get your fraction

I need help with this Pre-Cal question

Answers

Answer:

Step-by-step explanation:

You have 20 quarters. You find 40% more in your room. Then you go to the store and spend 50% of them. How much money do you have left?

Answers

3.50 or 14 quarters left

How do you solve 100^(5x+2)=1000^(4x-1)?

Answers

This whole equation is also equal to 10^10(5x+2)=10^100(4x-1). From there you can divide both sides by 10 and distribute on both sides. From there, it’s just basic algebra

A Carpenter wants to build a elliptical table top from a 4 foot to by 6 foot sheet of plywood. she traces out the ellipse using a string attached to thumbtacks located at the foci of the ellipse.

Answers

The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.

The distance between any focus and the center of the ellipse ([tex]c[/tex]), in feet, is described by the following expression:

[tex]c = \sqrt{a^{2}-b^{2}}[/tex] (1)

Where:

[tex]a[/tex] - Major semiaxis length, in feet.[tex]b[/tex] - Minor semiaxis length, in feet.

If we know that [tex]a = 3\ft[/tex] and [tex]b = 2\,ft[/tex], then the distance between focus and center is:

[tex]c = \sqrt{3^{2}-2^{2}}[/tex]

[tex]c = \sqrt{5}[/tex]

The distance between the thumbstacks is described by this expression:

[tex]d = 2\cdot c[/tex]

[tex]d = 2\sqrt{5}\,ft[/tex]

The thumbstacks have an in-between distance of [tex]2\sqrt{5}[/tex] feet.

We kindly invite to check this question on ellipses: https://brainly.com/question/14281133

16-?=2+6 solve for the missing number

Answers

Answer:

8

Step-by-step explanation:

trust

Answer:

8

Step-by-step explanation:

16-?=2+6

First, we add the right side .

16-?=8

Now that it's easier to solve, we can figure out you need to subtract 8 from 16 to get 8.

16-8=8

helpppppppppppppppppppppppppppppppppppppp

Answers

Answer:

a). 10

b). 14

c).12

d). 10

Step-by-step explanation:

Answer:

a) 10/55

b) 12/14

c) 9/12

d) 10/15

Step-by-step explanation:

Find the number that makes the ratio equivalent to 6:3 :9

Answers

Answer: The number that makes the ratio equivalent is 12

Explanation: All of the numbers are divisible by 3 and so is 12. So 12 will make the ratio equivalent.

Class 10R sat a test.
The mean mark for the class was 70%.

There are 30 students in class 10R, 20 of whom are boys.
The mean mark for the boys in the test was 62%.

Work out the mean mark for the girls.

Answers

Answer:

86%

Step-by-step explanation:

30 students in the class with a mean average of 70% can be expressed as:

total class percent / 30 = 70%

Rearranged, this gives that the class achieved a total of 30x70 or 2100%.

20 boys in the class with a mean average of 62% can be expressed as:

total boys percent / 20 = 62%

Rearranged, this gives that the boys achieved a total of 20x62 or 1240%.

This means that the girls achieved 2100 - 1240 so 860%.

Because there are 30 students and 20 boys, there are 10 girls.

Then work out the mean with a total of 860% and 10 girls.

860/10 = 86%.

PLEASE HELPP and no pictures please i can't see them on a school computer. Ill appreciate a step by step explanation than you! IM GIVING 40 POINTS

Answers

Answer:

a.

The area of the large circle is 225π cm² [exact] or 706.9 cm² [approximate].

b.

area = 50π/6 cm² [exact]

area = 26.2 cm² [approximate]

Step-by-step explanation:

This problem is easier to solve than it looks.

a.

Area of the large circle.

Look at the top left small circle, the middle circle, and the bottom right circle. You can draw a single line segment that is a diameter of the large circle and also contains the diameters of the three small circles. That means that the diameter of the large circle is 3 times the diameter of each small circle.

R and D are the radius and diameter, respectively, of the large circle.

r and d are the radius and diameter, respectively, of the small circles.

D = 3d

D = 6r = 6(5 cm) = 30 cm

R = 15 cm

A = πr²

A = π(15 cm)²

A = 225π cm²

The area of the large circle is 225π cm² [exact] or 706.9 cm² [approximate].

b.

There are 6 congruent spaces between the small circles and the large circle, and there are another, different 6 congruent spaces between the center circle and the 6 circles around it. The region we need is made up of one space of each type.

The combined area of all 12 spaces is the area of the large circle minus the total area of all the small circles. The area we need to calculate is 1/6 of that combined area.

area = (1/6)(area of large circle - total are of all small circles)

area = (1/6)[225π cm² - 7π(5 cm)²]

area = (1/6)[225π - 175π]cm²

area = 50π/6 cm² [exact]

area = 26.2 cm² [approximate]

? 2x² – 3x - y = -5
-x+y=5

Answers

Answer:

2x^2- 3x - Y= -5 -x + Y = 5

there is no solve because it already is solved.

Step-by-step explanation:

express the following ratio in the simplest form

2kg 250g :5kg

please give me answer​

Answers

Step-by-step explanation:

5kgthe following ratio in the simplest form

Answer:

Below.

Step-by-step explanation:

2 Kg : 250g : 5 kg

Convert all to grams:

= 2000 : 250 : 5000

= 200 : 25 : 500

= 8:1:20.

Help me please save me from detention

Answers

Answer:

The answer is B.

Step-by-step explanation:

It would be B because,

2+2=4

4+2=6

6+4=10

10+6=16

Not A because,

1+1=2

2+1=3 not 4

There you go :) pls gime the crown... :)

7⅕-2⅔x0,5 explain step by step

Answers

Step-by-step explanation:

7/5 - 2×2/3 × 0.5 = 1.4 - 2×0.5×2/3

= 1.4 - 1 ×2/3

=1/4 × 2/3

=1.5 - 0.6

The cube of twice a number.

Answers

Answer

?

Step-by-step explanation:

Wheres The Question

Last semester, Zachary earned an average score of 80 points on math tests. So far this semester, his average score is 15% lower. What is the average of Zachary's scores this semester?

Answers

Answer:

The answer would be 12

Step-by-step explanation:

15/100 =  X/80

To solve the equation above for X, you first switch the sides to get the X on the left side, then you multiply each side by 80, and then finally divide the numerator by the denominator on the right side to get the answer.

The equation

15/100 = X/80

X/80 = 15/100

X*80/80 = 15*80/100

X = 1200/100

X = 12

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