I dont know how to solve equations by completing the square x^2 −51=14x

Answers

Answer 1

Answer:

or, x^2-14x-51=0

or, x^2-(17-3)x-51=0

or, x^2-17x+3x-51=0

or, x(x-17)+3(x-17)=0

or, (x-17)(x+3)=0

Either, x-17=0. Or, x+3=0

x=17. x= -3

Hence,x=17, -3

Answer 2

[tex]x^2-51=14x\\\\\implies x^2-14x = 51\\\\\implies x^2 -2\cdot 7\cdot x+7^2-7^2 =51\\ \\\implies x^2 -2\cdot 7 \cdot x +7^2 = 51 +49\\\\\implies (x-7)^2=100\\\\\implies x-7 = \pm\sqrt{100}\\\\\implies x =\pm10+7\\ \\\text{Hence,}~ x=17, ~x=-3[/tex]


Related Questions

Keisha bought 4 books and 2 bookmarks at the library book sale. Each book cost $2.50. Each bookmark costs $1.95. Keisha paid with a $20.00 bill. How much change did she get?

A.$6.20

B.$7.20

C.$15.55

D.$6.10

Answers

Answer:

A= $6.10

Step-by-step explanation:

1 book = $2.50

4 books = $10.00

1 bookmark = $1.95

2 bookmarks = $3.90

3.90 + 10.00 = $13.90

20.00 - 13.90 = $6.10

Lin’s family needs to travel 325 miles to reach her grandmother’s house. At 26 miles, what percentage of the trip’s distance have they completed?
Group of answer choices

Answers

The answer would be 8%
Explanation: you would make an equation which would be 26=Px325
You would have to do the opposite so 26 divided by 325 and you would get .08 and when you move it twice to the right you get 8%

The cost of shirts are 3 for $40.65 what is the unit cost per shirt?

Answers

Answer: $13.55 per shirt

Step-by-step explanation:

3 for $40.65

you must first divide 40.65 by 3 to find the cost of 1 shirt which the answer is $13.55. I hope this helps! Have a good day! :)

Since we are given the price of 3 shirts, we can work backwards to do $40.65 divided by 3 to get the unit cost per shirt, in which we get $13.55.

Glad to help!

I'd appreciate if you marked this as brainliest, if not I understand :)

PLEASE HELP! This is my last question and I need to get it right or I fail.

Answers

Answer:

The answer is -8.

Step-by-step explanation:

1. Solve the upper half of the expression by following the order of operations:

10² - (100 + 8²)

10² - (100 + 64)

10² - 164

100 - 164

= -64

2. Solve the bottom half by multiplying 2 by itself three times:

2 · 2 · 2 = 8

3. Divide the now given values

[tex]\frac{-64}{8}[/tex]

= -8

hope this helps!

Gwen owes a total of $4,522.50 on revolving credit accounts thar have total limits of $7,950.00. Calculate the amount she needs to pay on her revolving credit accounts to reach a 25% debt-to-credit ratio.
$1,922.50
$2,100.00
$2,517.50
$2,535.00 ​

Answers

The answer is $2,535

Yo i need to bring up my grade bad so
2x=5+y
(please show it graphed ready :D)

Answers

Answer:

[tex]2x = 5 + y \\ y = 2x - 5 \\ when \: x = 0 \\ y = - 5[/tex]

How much blue paint did they use in all?

Answers

Answer:

2.25 ounces

Explanation:

0 ounces - 1 X2/4 ounces - 3 X3/4 ounces - 1 X

so total used:

0 * 1 + 2/4 * 3 + 3/4 * 10 + 1.5 + 0.752.25

A gumball machine contains 232323 green gumballs, 525252 red gumballs, 343434 blue gumballs, 616161 yellow gumballs, and 303030 pink gumballs. What percentage of the gumballs are red?.

Answers

Answer:

%26

Step-by-step explanation:

We can set up a proportion to find out what percentage of the gumballs are red:

[tex]\frac{525252}{232323+525252+343434+616161+303030} =\frac{x}{100}[/tex]

[tex]\frac{525252}{2020200} =\frac{x}{100}[/tex]

[tex](525252)(100)=2020200(x)[/tex]

[tex]\frac{(525252)(100)}{2020200} =x[/tex]

[tex]26=x[/tex]

Since we set up x as a fraction of 100 when writing the proportion we can say that the percentage of red gumballs is %26.

Can someone please help me? :(

Answers

Answer:

561 is the surface area

Step-by-step explanation:

11 x 11 is the base area which equals 121. The height is 10 and the base is 11 for the triangles so it is 11 x 10 which equals 110. We multiply that number by 4 to equal 440. 440 + 121 equals 561 so 561 is the surface area.

Answer:

341

Step-by-step explanation:

((10 x 11)/2) x 4

=220

220+11 x 11

220 + 121=

341

I need help on seeing if my answers are correct or not !

Answers

Answer:

false false false true true

Step-by-step explanation:

you got the first four wrong.

Answer:

a. False

b. False

c. False

d. True

e. True

Step-by-step explanation:

If n= 4 then

a. (7*4)^2 ≠ 7^8

b. (-5)^3 × (-5)^4 ≠ (-5)^12 when multiplying numbers together the exponents are added

c. 19^4/19 ≠ 19^4

d. (3*4)^2 = 144 which is 144 = 144

e. (-2/5)^2 = 4/25 which is 4/25 = 4/25 this true because a negative number multiplied by a negative number becomes a positive

I plugged each equation into a calculator and it gave me these answers

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Order from greatest to least

Answers

Answer:4. 7, 4 , -3.5, -5

Step-by-step explanation: place on number line and read from right to left

A person invests 7000 dollars in a bank. The bank pays 7% interest compounded
quarterly. To the nearest tenth of a year, how long must the person leave the money
in the bank until it reaches 12400 dollars?

Answers

This might be the answer. Hope it helps..

find the area !
please hurry! Thank you!

Answers

Answer:

254.34 in²

Step-by-step explanation:

Assuming that the shape is a circle,

area of circle= πr², where r= radius.

Given that the diameter is 18 in,

radius= diameter ÷2

radius= 18 ÷2

radius= 9 in

Let's substitute r= 9 and use 3.14 as the value of π:

Area of circle

= 3.14(9²)

= 3.14(81)

= 254.34 in²

Find c.
Write your answer in simplest radical form.

Answers

Answer:

c = 3.46

Step-by-step explanation:

use tangent to find c

2 tan 60 = c

firstly label the sides

let me know if you need further explanation on how I got my answer

15. Instructions: Use the ratio of a 30-60-90 triangle to solve for the variables. Leave your answers as radicals in simplest form.

Answers

Answer:

  x = 13√3

  y = 13

Step-by-step explanation:

The side ratios in a 30-60-90 triangle are ...

  1 : √3 : 2

In order to make the long sides match, we need to multiply these by 13:

  1 : √3 : 2 = y : x : 26 = 13 : 13√3 : 26

Matching values, we find ...

  x = 13√3

  y = 13

Consider the graph given below. Determine which sequences of transformations could be applied to the parent function, f(x) = x, to obtain the graph above. Shift right 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2 Shift left 2 units, reflect over the y-axis, and then vertically stretch by a factor of 6 Reflect over the x-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift up 6 units, reflect over the x-axis, and then vertically stretch by a factor of 2 Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units Shift left 3 units, reflect over the y-axis, and then vertically stretch by a factor of 2

Answers

The sequences of transformations that could be applied to the parent function are (e) Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units

How to determine the sequence of transformation?

The graph that completes the question is added as an attachment

From the attached graph, we have the following points

(3, 0) and (0, 6)

Calculate the equation of the line using

[tex]g(x) = \frac{y_2 - y_1}{x_2 -x_1} * (x - x_2) + y_2[/tex]

This gives

[tex]g(x) = \frac{6 - 0}{0 -3} * (x - 0) + 6[/tex]

Evaluate the quotient

g(x) = -2 * (x) + 6

Expand

g(x) = -2x + 6

This means that the equation of the line is:

g(x) = -2x + 6

So, we have:

f(x) = x as the parent function and g(x) = -2x + 6 as the transformed function.

The transformations from f(x) to g(x) are as follows:

Reflect over the y-axis i.e. f'(x) = -f(x) = -xStretch vertically by a factor of 2 i.e. f"(x) = 2f'(x) = -2xShift up by 6 units i.e. g(x) = f"(x) + 6 = -2x + 6

Hence, the sequences of transformations that could be applied to the parent function are (e) Reflect over the y-axis, vertically stretch by a factor of 2, and then shift up 6 units

Read more about transformation at:

https://brainly.com/question/13810353

#SPJ1

+8 opposite value of integers ​

Answers

Answer:

-8

Step-by-step explanation:

The opposite of a positive integer is a negative integer so it must be -8

PLEASE HELP WILL GIVE BRAINLIEST!!!!​

Answers

A number less than nine equals four
a number less than 9 is for and the number would be 5

i neeeeedddddd helppppppp

Answers

The answer is 48 degrees because you add 42 and 90 and then subtract from 180 (total degrees of a triangle)

Select all that apply.

The bar graph below represents the following table, but the graph has at least one mistake. Choose the statements that describe what is wrong with the graph.

Answers

Answer:

The labels are switched

The "cloudy" bar is the wrong length

The "party cloudy" bar is wrong length

I hope my answer helps you.

The owner of a video game store creates the expression −2x2 28x 20 to represent the store's weekly profit in dollars, where x represents the price of a new video game. choose the equivalent expression that reveals the video game price that produces the highest weekly profit, and use it to determine that price. −2(x − 7)2 118; x = $7 −2(x − 7)2 118; x = $118 −2(x2 − 14x) 20; x = $14 −2(x2 − 14x − 10); x = $10

Answers

The given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex]price is $7 option first is correct.

What is a quadratic expression?

A quadratic expression is a second-degree algebraic expression represented by the:

[tex]\rm ax^2+bx+c=0[/tex] ........(1)

Where a, b, and c are the constants and  

We have a quadratic expression:

[tex]\rm f(x)=-2x^2+28x+20[/tex]

Convert it to perfect square by perfect square trinomial:

[tex]\rm f(x)=-2(x^2+14x)+20[/tex]  

[tex]\rm f(x)=-2(x^2+14x+49-49)+20[/tex]   (adding and subtracting by 49)

[tex]\rm f(x)=-2(x-7)^2+2(49)+20[/tex]

[tex]\rm f(x)=-2(x-7)^2+118[/tex]

Here [tex]\rm (x-7)^2[/tex] is the positive term and -2 is the negative term so in order to get the highest weekly profit it should be zero, so

[tex]\rm -2(x-7)^2=0[/tex]

x = $7

Thus, the given expression is equivalent to [tex]\rm -2(x-7)^2+118[/tex]  and the price is $7.

Learn more about quadratic expression here:

brainly.com/question/2263981

Answer:

First option A.  −2(x − 7)^2 + 118; x = $7

Step-by-step explanation:

Took the test and it's correct, trust me :)

Brittany has a black skirt, a violet skirt, a white skirt, and a red skirt. She has a yellow top, a pink top, and a green top. She wants to wear a skirt and a top. What are all the possible outcomes? How many possible outcomes are in the sample space?

7 possible outcomes: BB, VV, WW, RR, YY, PP, GG
12 possible outcomes: BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG
7 possible outcomes: B, V, W, R, Y, P, G
12 possible outcomes: BY, BP, BG, BV, BW, BR, VY, VP, VG, VB, VW, VR

Answers

Answer:

B

Step-by-step explanation:

12:

BY, BP, BG, VY, VP, VG, WY, WP, WG, RY, RP, RG

Please answer the question

Answers

Answer:

180000

===========

[tex]\rightarrow \sf \dfrac{2^3*5^2*(2*3)^2*(3*5)^2}{3^2}[/tex]

[tex]\rightarrow \sf \dfrac{8*25*(6)^2*(15)^2}{3^2}[/tex]

[tex]\rightarrow \sf \dfrac{8*25*36*225}{9}[/tex]

[tex]\rightarrow \sf \dfrac{1620000}{9}[/tex]

[tex]\rightarrow \sf 180000[/tex]

Answer:

Es b = 180 000.

Step-by-step explanation:

b = 8. 25. 2².3².3².5²

              9

b = 8.25.4.9.9.25

             9

b = 1 620 000

              9

b = 180 000

Snow Crest is 11,920.21 feet higher than Mt. Wilson. Write and solve an equation to find the elevation of Mt. Wilson. Let x represent the elevation of Mt. Wilson. can you please help me?

Thank you

Answers

Answer:

685

Step-by-step explanation:

so if you have $86 and if that cost up to $1 and that would equals 685

is 1 2/6 irrational or rational?

Answers

I am pretty sure it is rational but if not sorry

Explain how the distance formula can prove Pythagoras' Theorem. In your
explanation use the Pythagoras Theorem and how the distance formula can be used
with a right triangle when only given the hypotenuse.

Answers

Answer:

Given a triangle ABC, Pythagoras' Theorem shows that:

[tex]c^2=a^2+b^2[/tex]

Thus,

[tex]c = \sqrt{a^2+b^2}[/tex]

The distance formula, gives an equivalent expression based on two points at the end of the hypotenuse for a triangle.

[tex]d^2 = (x_{2} -x_{1})^2 + (y_{2} -y_{1})^2[/tex]

[tex]d = \sqrt{(x_{2}-x_{1})^2 + (y_{2} -y_{1})^2 }[/tex]

Therefore when given the hypotenuse with endpoints at

[tex](x_{1}, y_{1}) and {(x_{2}, y_{2})[/tex]

We know that the third point of the right triangle will be at

[tex](x_{2}, y_{1})[/tex]

and that the two side lengths will be defined by the absolute values of:

[tex](x_{2} - x_{1}) = a[/tex]

[tex](y_{2} - y_{1}) = b[/tex]

In a robotics competition, a robot must be built with a specific
maximum starting height, width, and depth. In order to meet the
height requirements, a robot must fit in the judge's plexi-glass box.
The box is a rectangular prism that has a surface area of 1 728 in², a
width of 15 inches, and a length of 18 inches. The Mad Hatter robot
is 17.75 inches tall in its starting position. Does the Mad Hatter
meet the height requirement?

Answers

L= 18, W = 15 and H = ?
2*(15+18) + 2*151) + 2* (18H) = 540 + 30H + 36H
1.728 - 540 = 66H
1,188/66 = H = 18
so yes, it meets the height requirement 17.75 is
less than 18

Write [tex]\frac{2}{7}x(1.4x^2-3.5y)[/tex] as a polynomial.

Answers

Answer:

[tex]0.41x^3-1.02xy[/tex] or [tex]0.4x^3-xy[/tex]

Step-by-step explanation:

[tex]\frac{2}{7}x(1.4x^2-3.5y) < == convert\ \frac{2}{7}\ to\ a\ decimal\\\\0.29x(1.4x^2-3.5y) < ==distribute\ 0.29x\\\\0.41x^3-1.02xy[/tex]

Can also be written as: [tex]0.4x^3-xy[/tex]

Hope this helps!

Suppose that the coordinates of point G were (4, –3) instead of (4, 3). Would the area of the triangle be the same? Explain why or why not.

Answers

The coordinate of point G is its location on the coordinate plane

The area of the triangle would not remain the same

How to determine the area statement?

From the question, we have the following points

G = (4,-3) and

G = (4,3)

The above coordinates are two different points, and so they would make the triangle have different areas.

Hence, the area of the triangle would not remain the same

Read more about areas at:

https://brainly.com/question/24487155

I need help with this

Answers

Answer:

A) 38,000

B) 28.6%

Step-by-step explanation:

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