Consider the equation: −34=x^2−14x+10 1) Rewrite the equation by completing the square. 2) What are the solutions to the equation?

Answers

Answer 1

Answer:

1) x^2 - 14x + 44 = 0

(x^2 - 14x + 49) - 5 = 0

(x-7)^2 - 5 = 0

2)Assuming no complex number x...

(x-7)^2 = 5

x-7 = 5

x-7 = -5

x= 12, x=2

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

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Answer 2

The answers to both the subparts of the equations are shown:

(A) Re-written equation by completing the square: (x-7)² - 5 = 0(B) Solutions of the equation: x = 12, x = 2

What are equations?Algebraically speaking, an equation is a statement that shows the equality of two mathematical expressions. For instance, the two equations 3x + 5 and 14, which are separated by the 'equal' sign, make up the equation 3x + 5 = 14.

So, the equation is:

−34 = x² −14x+10

(A) Rewrite the equation by completing the square:

−34 = x² −14x+10x² - 14x + 44 = 0(x² - 14x + 49) - 5 = 0(x-7)² - 5 = 0

(B) The solutions of the equation:

(x-7)² = 5x-7 = 5x-7 = -5x= 12, x=2

Therefore, the answers to both the subparts of the equations are shown:

(A) Re-written equation by completing the square: (x-7)² - 5 = 0(B) Solutions of the equation: x = 12, x = 2

Know more about equations here:

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Related Questions

will give brainiest + 40 points
Which graph represents the function p(x) = |x – 1|?

Answers

Answer:

I think it's the second I e at the top

Enter the fraction using tenths and the decimal by the model.

Answers

Answer:

The fraction would be 5/10 or 1/2 and the decimal would be 0.5

Step-by-step explanation:

5 are shaded in out of 10 so that shaded part would be 5 out of 10 or 5/10. Same goes for the decimal, 5 are shaded which means that is 5 tenths or 0.5.

I hope this helps!

what is the volume of the following prisim? i will be so grateful

Answers

Answer:

i dont know this is to hard

Step-by-step explanation:

pay back for saying that on my question  

A backpack is on sale for 30% off. If the sales price is $15.75, what is the original price? Show your work.

Answers

Answer:

$22.50

Step-by-step explanation:

As it is 30% off, $15.75 is 70% of the full price. You can then divide 15.75 by 70 [= 0.225] to get 1% of the full price. Multiply 0.225 by 100 to get the full price. 0.225 x 100 = 22.5

We can check that this answer is correct by multiplying 22.50 by 0.7. If you get 15.75 you know the answer is correct as 15.75 is 70% of the full price.

22.50 should be the answer

What does this equal to

|9-14|

Answers

Answer:

5

Step-by-step explanation:

An absolute value is NEVER negative.

|9 - 14| = |-5| = 5

Answer: 5

What two numbers multiply to -5 and add to 4?

Answers

Answer:

The two numbers that multiply to -5 and add to 4 are:

5 and -1

Step-by-step explanation:

5 • -1= -5

5 - 1= 4

Find the surface area of the square pyramid shown below.

(15 points)

Answers

Answer:

340

Step-by-step explanation

Base=10x10=100

Sides= {(12x10)/2}x4=240

Add sides plus base, 240+100=340

Cars lose value the farther they are driven. A random sample of

11

1111 cars for sale was taken. All

11

1111 cars were the same make and model. A line was fit to the data to model the relationship between how far each car had been driven and its selling price.

Which of these linear equations best describes the given model?

Based on this equation, estimate the price of a car that had been driven

56

5656 thousand kilometers.

Answers

Answer:

y = -0.25x + 40 ; $26,000

Step-by-step explanation:

From the graph attached ;

The regression equation, y could be obtained :

y = mx + c

m = slope = Rise / Run = (y2 - y1) / (x2 - x1)

Slope = (15 - 40) / (100 - 0)

Slope = - 25 / 100

Slope = - 0.25

c = intercept, where the regression line crosses the y-axis, from. The graph, c = 40

The regression equation goes thus :

y = -0.25x + 40 ; y = price of car ; x = number of miles driven

Price of car that has been driven for 56000 miles

y = - 0.25(56) + 40

y = - 14 + 40

y = 26

Hence, price of car is $26,000

Please Answer!! Will give brainly!!

Answers

Answer:

480 - 12.25d = 50

What is a simpler form of
5n(3n³−n²+8) ?

Answers

15n power 4 - 5n power 3 + 40n

PLEASE HELP!!

Daniel deposits $1250 into each of two savings accounts shown in the image. Daniel does not make any additional deposits or withdrawals.
- Account A earns 5% annual simple interest.
- Account Bearns 5% interest compounded annually
What is the sum of the balances of Account A and Account B at the end of 4 years?

A. $1,500.00
B. $1,519.38
C. $3,019.38
D. $2,857.59

Answers

Answer:

234

Step-by-step explanation:

x=2+3


Please help me with the question

Answers

Answer: 70

Step-by-step explanation: if you look at it hard enough they both look the same, this is called a vertical angle, I'm down for more questions lol. you keep on getting on my fyp

If the ratio of shirts to jeans is 5 : 3 and the no. of shirts are 15, what is the no. of jeans?

Answers

Answer:

9

Step-by-step explanation:

let x be number of jeans

3/5 = x/15

x=(3/5)15

x=9

Answer:

9 jeans

Step-by-step explanation:

The 5 part of the ratio relates to 15 shirts , then

15 ÷ 5 = 3 ← value of 1 part of the ratio , then

3 parts = 3 × 3 = 9 ← number of jeans

help!!!! ^^^ due in 20 mins!

Answers

Answer:

I believe its 60cm squared

I’m not sure

Answer:

i think its 60cm

Step-by-step explanation:

Please please help this is overdue

Answers

Answer

only the graph is a function. I can tell by doing the vertical line test on the graph and making sure that each x value only happens once. On the table it is not a function since the x values repeat.

Find the volume of the square pyramid. The work has been started for you.


V = 1

3

Bh


B = 6.5(6.5) = 42.25 m2

Answers

Complete question

A square pyramid. The square base has side lengths of 6.5 meters and the height of 6 meters.

What is the volume of the pyramid?

Answer:

84.5m³

Step-by-step explanation:

The volume of a square. Pyramid is given as :

V = 1/3 * base * height

Base = l² ; l = side length

Base = 6.5² = 42.25 m²

V = 1/3 * 42.25 * 6

V = 42.25 * 2

V = 84.5

The volume of square pyramid = 84.5m³

how do you solve 1/2(6)(h+1)=18​

Answers

Multiply 6 by 1/2 to get 3

Ow you have :

3( h + 1) = 18

Distribute the 3:

3h + 3 = 18

Subtract 3 from both sides:

3h = 15

Divide both sides by 3:

H = 5

Sofia bought a clothes iron that was discounted 15% off of the original price of $35. What was the dollar amount of discount of the clothes iron?

Answers

Answer:

$5.25

Step-by-step explanation:

Given data

Original price= $35

Discount= 15%

let us find 15% of $35

=15/100*35

=0.15*35

=$5.25

Hence the amount of the discount is

$5.25

6=1x+5
Find Y . . . . . . . .

Answers

Answer:

If you are referring to the y-intercept, then the answer is 5. Otherwise, the answer is probably 6.

Step-by-step explanation:

Answer:

i got 1

Step-by-step explanation:

Are the ratios 18:6 and 3:1 equivalent?

Answers

Answer: no

Step-by-step explanation: here are all the ratios equivalent to 18:6 18 : 636 : 1254 : 1872 : 2490 : 30108 : 36126 : 42144 : 48162 : 54180 : 60198 : 66216 : 72234 : 78252 : 84270 : 90288 : 96306 : 102324 : 108342 : 114360 : 120378 : 126396 : 132414 : 138432 : 144450 : 150468 : 156486 : 162504 : 168522 : 174540 : 180558 : 186576 : 192594 : 198612 : 204630 : 210648 : 216666 : 222684 : 228702 : 234720 : 240738 : 246756 : 252774 : 258792 : 264810 : 270828 : 276846 : 282864 : 288882 : 294900 : 300918 : 306936 : 312954 : 318972 : 324990 : 3301008 : 3361026 : 3421044 : 3481062 : 3541080 : 3601098 : 3661116 : 3721134 : 3781152 : 3841170 : 3901188 : 3961206 : 4021224 : 4081242 : 4141260 : 4201278 : 4261296 : 4321314 : 4381332 : 4441350 : 4501368 : 4561386 : 4621404 : 4681422 : 4741440 : 4801458 : 4861476 : 4921494 : 4981512 : 5041530 : 5101548 : 5161566 : 5221584 : 5281602 : 5341620 : 5401638 : 5461656 : 5521674 : 5581692 : 5641710 : 5701728 : 5761746 : 5821764 : 5881782 : 5941800 : 600

https://goodcalculators.com/ratio-calculator/

© 2015-2021 goodcalculators.com

Answer:

yes

Step-by-step explanation:

18:6

18/6=3

6/6=1

3:1 is a simpler version of 18:6

Please help im not good at theses

Answers

Answer:

[tex]y=\frac{1}{4} x-3[/tex]

Step-by-step explanation:

y=mx+b -- m = slope, b = y-int

ANOTHERRR >: D
THANKS FOR ALL THE PEOPLE HELPINGG < 3

Answers

Answer: it C trust me it right & can you please mark me Brainliest

Step-by-step explanation: Hope this help :D

☁️ Answer ☁️

C, x < 4.

2/x −3< − 1

Multiply both sides of the equation by 2.

x−6< −2 (negative 2)

Add 6 to both sides.

x < (negative 2) −2 + 6

Add −2 and 6 to get 4.

x < 4

Hope it helps.

Have a nice day noona/hyung.

Can someone help me with this. Will Mark brainliest.

Answers

Answer:

(7.5, 3)

Step-by-step explanation:

(5,5) and (10, 1)

Midpoint:

[tex](\frac{x1 + x2}{2} ,\frac{y1+y2}{2} )\\\\(\frac{5 + 10}{2} ,\frac{5+1}{2} )\\\\(\frac{15}{2} ,\frac{6}{2} )\\\\(7.5,3)[/tex]

Answer:

it should be (7.5,11.25)

Step-by-step explanation:

The graph of g(x) is a parabola that opens upward with a vertex at (-3, 4). Which statement is true?​

Answers

we need to have statements to see which one is true

Factor the expression (s):

7x+63

12x+15

36z+60

Answers

The answer for the first one is 7(x+9)
The answer for the second one is 3(4x+5)
The answer for the third one is 12(3z+5)

What is the best definition for “sample” as used in statistics?
the entire population of the group
a part of the population that represents the entire population
the difference between the maximum and minimum values observed
a measure of how much the values within a population vary

Answers

Answer:

a part of the population that represents the entire population

Step-by-step explanation:

Answer:

I think it is the second option

I hope it helps you  

If Lin runs 21 laps at the same rate, how long does it take her?
minutes

Answers

25 minutes. Or 25.5. Hope it helps.

PLEASEEEEEEEEEEEEE HELPPPPPPPPPPPPPPPPPPPPPPP

Answers

A)obtuse
B)acute
C)obtuse
D)right

solve the system of substitution y=-2x y=5x-21

Answers

Answer:

x = 3 is the answer

Step-by-step explanation:

1. Write the equation.

y = -2x

y = 5x - 21

2. Substitute the values.

(-2x) = 5x - 21

3. Solve the equation.

-2x = 5x - 21

-5x    - 5x

-7x = -21

4. Both negatives cancel

7x = 21

5. Divide both sides by 7

7x = 21

/7      /7

6. x = 3

7. Check the answer.

-2(3) = 5(3) - 21

-6 = 15 - 21

-6 = -6

x = 3 is the answer

Hope this helped,

Kavitha

P.S Sorry for taking so long.

Two functions are defined by the equations f(x)=5−0.2x and g(x)=0.2(x+5). all statements that are true about the functions.

Answers

Answer:

The true statements are -: A f(3)>0 , C g(-1)=0.8 and D g(-1)< f(-1)

Step-by-step explanation:

  Given f(x)= 5- 0.2x and g(x)= 0.2(x+5)

(A)  f(3) > 0

    Putting this value in the given equation -

     f(3) =5 -0.2(3)

      f(3)=5 - 0.6

  f(3) =4.4

Therefore , f(3) > 0  . This is a true statement .

(B)  f(3) > 5

     We got the value of f(3) from the above equation,

     Therefore , f(3) = 4.4 , hence f(3) > 5 option is False.

(C)  g(-1) = 0.8

  Taking the second given equation ,

  g(-1) = 0.2 ( -1+ 5)

  g(-1) = 0.2 (-4)

Therefore,  g(-1) = -0.8 . Hence , this statement is true.

(D) g(-1) < f(-1)

  g(-1) = -0.8

f(-1) =5 - 0.2(-1)

f(-1) = 5 +0.2

f(-1) = 5.2

Therefore , g(-1) < f(-1) , Hence this option is true.

(E) f(0) =g(0)

  f(0) = 5 + 0.2(0)

  f(0) = 5

g(0) = 0.2(0+5)

g(0) =  0.2 +5

g(0) = 1

Therefore , f(0)[tex]\neq[/tex] g(0) , Hence , the option is false .

Hence , true statements about the functions are - A , C , D .  

     

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