Using the method of completing the square, rewrite x² – 14x in the form (x + b)2 +c.
x2 – 14x = x(x - 14)
x² – 14x =

Using The Method Of Completing The Square, Rewrite X 14x In The Form (x + B)2 +c.x2 14x = X(x - 14)x

Answers

Answer 1

If you want to have

[tex]x^2-14x = (x+b)^2+c[/tex]

notice that expanding the right side gives

[tex]x^2-14x = x^2+2bx+b^2+c[/tex]

so that

[tex]\begin{cases}2b=-14 \\ b^2+c=0\end{cases}[/tex]

It follows that b = -7 and c = -49. Then

[tex]x^2-14x = \boxed{(x-7)^2-49}[/tex]


Related Questions

- Find the final price of a $13.00 tank top after a 30%
discount and 2% tax.

Answers

Answer:

i have no clue use guath math

Step-by-step explanation:

REALLY URGENT!!!

Question: Find the equation of the line specified.

Perpendicular to 3x + y = -7 and passing through (1,8)

(i really need an explanation on how to do this)

Answers

Answer:

[tex]y=\frac{1}{3}x+7.6666[/tex]

Step-by-step explanation:

First we must convert  [tex]3x+y=-7[/tex] into slope-intercept form!

To do this we simply just need to subtract -3x from the 3x on the left and move it to the right side. This would result in: [tex]y = -3x-7[/tex]

Now that we have our slope-intercept form for the equation remember that to find the equation that is perpendicular to the given equation, you need to use the opposite reciprocal of the slope. This would be [tex]\frac{1}{3}[/tex] as that is the reciprocal and opposite of [tex]-\frac{3}{1}[/tex]

Now in order to find the "b" variable of the equation that goes through the ordered pair (1, 8) we need to plug it in to the given equation!

That equation would be: [tex]y=\frac{1}{3}x-7[/tex]

Given that x = 1 and y = 8 we can plug those in like so:

[tex]8=\frac{1}{3}(1)+b[/tex]

(make sure to set the -7 to b as that's what we're solving for)

1 / 3 is 0.3333 (infinitely repeating)

Next we need to subtract 0.3333 from 8, which would be 7.6666 (infinitely repeating) Remember that the variable needs to be "alone"!

Now we have our "b" for the equation! Hence the equation would be:

[tex]y=\frac{1}{3}x+7.6666[/tex]

(you can also use [tex]\frac{23}{3}[/tex] for the b as that is the "exact form" of 1 / 3 but they both work)

Hope this helps! Feel free to ask questions!

Solve equation for 5(x - 3) + 2 = 5(2x - 8) - 3​

Answers

Answer:

Easy pie

Step-by-step explanation:

5(x - 3) + 2 = 5(2x - 8) - 3​

5x - 15 + 2 = 10x - 40 - 3

5x - 10x = 15 - 2 - 40 - 3

-5x = -30

5x = 30

x = 6

5x+15+2=10x-40-3
5x+17=10x-43
+43 -5x
60=5x
60/5=x
x=12

Whoever answers i’ll mark brainliest

Draw out a two column proof

Answers

Your answer is attached as a two column proof

What is greater 4 7/10 or 4.75

Answers

Answer:

4.75

Step-by-step explanation:

helppddcskdilfsl

HELP NEED NOW !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

...

Step-by-step explanation:

...


Find the value of x that will make A||B.
A
B
4x
(3x + 10
X =
[?]
Enter

Answers

[tex]4x = 3x + 10[/tex][ Adjacent angle][tex]4x = 3x + 10 \\ 4x - 3x = 10 \\ x = 10[/tex]

- BRAINLIEST answerer ❤️

The value of the variable 'x' by the corresponding angles property will be 10.

What is an angle?

The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360°.

Corresponding angle - If two lines are parallel then the third line. The corresponding angles are equal angles.

From the diagram, by the corresponding angles property, the equation is given as,

4x = 3x + 10

Simplify the equation, then we have

4x = 3x +10

x = 10

The value of the variable 'x' by the corresponding angles property will be 10.

More about the angled link is given below.

https://brainly.com/question/15767203

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Which expression does the graphic represent?




Answers

Answer:

8-1 if im correct and thank me

Step-by-step explanation:

Help to find the correct answer please

Answers

Answer:

The slope is -3/2

The y intercept is (0, -5) :)

Step-by-step explanation:

the slope is whatever is times by x

the y intercept is what’s being subtracted by it

The values of m and b from the equation of the given line are;

m = -3/2 and b = -5

Slope intercept form

We are given the equation;. y = -(3/2)x - 5

Now, the general form of an equation of a line in slope intercept form is;

y = mx + b

Where;

m is slope

b is y-intercept

Thus, comparing the general form to our given equation, we can see that;

m = -3/2 and b = -5

Read more about slope intercept form at; https://brainly.com/question/1884491

What is each percent of change? round to the nearest whole percent if necessary. Is the percent of change an increase or decrease? $300 to $200

Answers

Answer:

33.3333 percent dectearse

f(x) -2x-6 and g(x)=3x+9 find (f-g)(x)

Answers

9514 1404 393

Answer:

  (f -g)(x) = -5x -15

Step-by-step explanation:

  (f -g)(x) = f(x) -g(x) = (-2x -6) -(3x +9) = -2x -6 -3x -9

  (f -g)(x) = -5x -15

which table represents a function? will give brainliest and maybe money

Answers

Answer:

3)

Step-by-step explanation:

The x side of the table can't have the same numbers, while the f(x) side can.

:)

also f(x) is the same as y on a table therefore has the same rule.

are of a trapuiezuim​

Answers

Step-by-step explanation:

that is the step by step

brainliest please

Write three numbers that round to 80,000 when rounded to the nearest ten thousand

Answers

Answer:

79,000       78,000    77,000

Step-by-step explanation:

Looking at the number behind the ten-thousands place, the number being higher than five makes the seven round up to 8

Aloha!
Looking for some help with an Algebra 1 equation please. See photo below.

Answers

Answer:

3, 0

Step-by-step explanation:

So, if we rewrite our given equation to have its 0x its easier to picture factorising it.

Factorise into (x+3)(x-3)

Make this equation equal to zero

Solve for your two pairs, -3, 0 (which was given in the question- I wrote this in green)

and 3, 0 (I wrote this in blue)

9514 1404 393

Answer:

  (-3, 0) (given) and (3, 0)

Step-by-step explanation:

Apparently, the "solution" you're looking for is the solution to f(x) = 0.

To find the solutions, look for table values where y = 0. The solutions are the corresponding x-values. The (x, y) pairs that are solutions can be read from the table:

  (-3, 0) and (3, 0)

Identify the terms and coefficients of −4 √ x + y − 5x

Answers

Answer:

The coefficient of -4√x is -4; that of y is 1; and that of -5x is -5.

Step-by-step explanation:

The terms include -4√x, y, -5x.

The coefficient of -4√x is -4; that of y is 1; and that of -5x is -5.

Round 45.395 to the nearest hundredth

Answers

45.40 is your number

Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours. What was the total average speed?

Answers

Answer:

46.6666667

Step-by-step explanation:

we need to know the TOTAL average speed. To do that, we need to know how to get the speed, which is distance/time. Now we have to substitute. The equation we get is: s= (90+120)/(1.5+3). After solving, you should get s= (210miles)/(4.5hrs). Now all we have to do is divide, which equals 46.6666667.

Hope this helps! (:

The required average speed of Oliver is 46.67 miles per hour.

Given that,
Oliver drove the first 90 miles of his journey in 1.5 hours and the remaining 120 miles in 3 hours, what was the total average speed is to be determined.

What is speed?

Speed is defined as when an object is subjected to move, the distance covered by the object in a certain time interval is the speed of that object.

What is average?

The average of the values is the ratio of the total sum of values to the number of values.

Here,
Total distance traveled = 90 + 120 = 210 miles
Total time taken = 1.5 + 3 = 4.5 hours
Average speed = distance / time
                       = 210 / 4.5
                       = 46.67 miles per hour

Thus, the required average speed of Oliver is 46.67 miles per hour.

Learn more about averages here:

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Ms. Knight's two cooking classes are
making a total of 30 sweet potato
pies. Each pie requires 2 % sweet
potatoes. Her first class makes 1/3 of
the total number of pies needed.
Exactly how many sweet potatoes
will her second class need in order to
make the remaining pies?

Answers

Answer:

33

Step-by-step explanation:

14. As x increases in the equation 3x – 2y = 6, the value of y
a. increases
b. decreases
c. does not change
d. cannot be determined​

Answers

B. Decreases

(Hopefully I’m right!)

Find the value of x

Answers

Answer:

2

Step-by-step explanation:

please mark brainiest hope it works out for you

If a pair of alternate exterior angles are supplementary, what is the measure of each angle?

Answers

If a pair of alternate exterior angles are supplementary, what is the measure of each angle? it should be 180 if im not mistaken

nnnnnnnnnnnnjnjnnnnnnnjjjnjnjhj

Answers

Answer:

Thank you for the points and you sertanly right

Step-by-step explanation:

Answer:

7:3   35:65   56/104    14/26

Step-by-step explanation:

You can pick three!

yesterday Grace drove 41 1/2 Miles she used 1 1/4 gallons of gasoline which is the unit rate for miles per gallon

Answers

Answer:

The answer should be 41 miles per hour

Step-by-step explanation:

Which is more, 9 pints or 16 cups?

Answers

Answer:

9 pints

Step-by-step explanation:

there are two cups in a pint, so we need to divide 16 by 2 to convert the cups to pints.

16 ÷ 2 = 8

9 is greater than 8, so 9 pints.

(5x+30 what is the value of x


Plzzzz help

Answers

ANSWER: 5 (× + 6)

Step-by-step explanation:

Hope this helpಠ◡ಠ

have a good day!❤️

Over a 5-hour period, the
temperature dropped a total of
12. If the temperature is now
72", what was the temperature at
the beginning of the 5-hour
period?

Answers

Answer:

12°F

Step-by-step explanation:

Temperature dropped

2°F

every

1

hour

After

6

hours

6

hours

×

2°F drop

1

hour

=

12°F drop

There is a drop in

12°F

Two spotters of tornado are on a road running east-west and are 35 miles apart. The west man spots a tornado at bearing N 43° E and the east man spots the same tornado on a bearing of N 59° W. How far is the tornado from each man and how far is the tornado from the road?

Answers

The distance between the tornado, and both spotters is an illustration of bearing and distance.

The distance between the tornado and the spotter at the west is 30.67 milesThe distance between the tornado and the spotter at the east is 24.40 milesThe distance between the tornado and the road is 20.91 miles

See attachment for the positioning of the tornado, and the two spotters.

First, we calculate the angle T.

[tex]\mathbf{\angle T + 43 + 59 = 180}[/tex] ---- Sum of angles in a triangle

[tex]\mathbf{\angle T +102 = 180}[/tex]

Subtract 102 from both sides

[tex]\mathbf{\angle T = 78}[/tex]

From the attached figure:

y represents the distance between the tornado and the spotter at the westz represents the distance between the tornado and the spotter at the east x represents the distance between the tornado and the road

To calculate y, we make use of the following sine formula

[tex]\mathbf{\frac{y}{sin(59)} = \frac{35}{sin(78)}}[/tex]

Make y the subject

[tex]\mathbf{y = \frac{35}{sin(78)} \times sin(59)}[/tex]

[tex]\mathbf{y = 30.67}[/tex]

To calculate z, we make use of the following sine formula

[tex]\mathbf{\frac{z}{sin(43)} = \frac{35}{sin(78)}}[/tex]

Make z the subject

[tex]\mathbf{z = \frac{35}{sin(78)} \times sin(43)}[/tex]

[tex]\mathbf{z = 24.40}[/tex]

Next, we calculate x, using the following sine trigonometry ratio

[tex]\mathbf{sin(59) = \frac{x}{z}}[/tex]

Make x the subject

[tex]\mathbf{x = z \times sin(59)}[/tex]

Substitute [tex]\mathbf{z = 24.40}[/tex]

[tex]\mathbf{x = 24.40 \times sin(59)}[/tex]

[tex]\mathbf{x = 20.91}[/tex]

Hence, the required distances are 30.67 miles, 24.40 miles and 20.91 miles.

Read more about bearing and distance at:

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Help me on 1. Please

Answers

Haha Aaaaaaaaaaaaaaaaaaa

8. Use mental math to multiply. a) 235 times 0.1, b) 235 times 0.01, c) 876 times 0.01, d) 876 times 0.001,

Answers

Step-by-step explanation:

235•0.1=23.5

235•0.01=2.35

876•0.01=87.6

876•0.001=8.76

Answer:

23.5, 2.35

8.76, 0.876

Step-by-step explanation:

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