Solve.

6 open parentheses x space minus space 5 close parentheses squared space plus space 1 space equals space 19

Group of answer choices

5 plus-or-minus square root of 3

5 plus-or-minus square root of 10 over 3 end root

13 over 2

Answers

Answer 1

Translating the situation to a mathematical sentence, and solving, we find that the solutions are: [tex]x = 5 \pm 3\sqrt{2}[/tex]

The translation of the problem given is:

[tex](x - 5)^2 + 1 = 19[/tex]

Then, solving:

[tex](x - 5)^2 = 18[/tex]

[tex]x^2 - 10x + 25 = 18[/tex]

[tex]x^2 - 10x + 7 = 0[/tex]

Which is a quadratic equation with [tex]a = 1, b = -10, c = 7[/tex]. Then:

[tex]\Delta = (-10)^{2} - 4(1)(7) = 72[/tex]

[tex]x_{1} = \frac{-(10) + \sqrt{72}}{2}[/tex]

[tex]x_{2} = \frac{-(-10) - \sqrt{72}}{2}[/tex]  

[tex]\sqrt{72} = \sqrt{9 \times 8} = \sqrt{3^2 \times 2^3} = 6\sqrt{2}[/tex], then:

[tex]x_1 = 5 + 3\sqrt{2}[/tex]

[tex]x_2 = 5 - 3\sqrt{2}[/tex]

The solutions are [tex]x = 5 \pm 3\sqrt{2}[/tex]

A similar problem is given at https://brainly.com/question/13094243


Related Questions

Please help me this is due please help

Answers

Step-by-step explanation:

so levt's label the video games as "P"

if 6P=207.54$

1P= X

1P × 207.54$ = 6P × X

1P × 207.54$ = 6P × X => P eliminates P on the right side

6P 6P. => 6P eliminates 6P on the left side

207.54$ = X

6

X = 34.59$

Step-by-step explanation:

Let the cost of 1 video game = x

6 video games = $207.54

1 video game = x........cross multiply

6x = 207. 54............ divide both sides by 6

x = 34.59

therefore, 1 video game costs $34.59

expand and simpifly 2(x+7) + 3(x+1)

Answers

Answer: 5x+17

Step-by-step explanation:

2(x+7) + 3(x+1)

2x+14 + 3x+3

5x+17

Answer:

5x+17

Step-by-step explanation:

expanded:

2x+14 + 3x+3

simplified:

-collect like terms-

2x+3x=5x

14+3=17

Movie tickets now average $9.75 per ticket, but are increasing 7% each year.
What is the growth factor?

Answers

Answer:

The Tickets grow approximately ¢68 or $0.68 each year

Step-by-step explanation:

7% of 9.75 = 0.68

A percentage is out of a fraction of 100; 7/100

Hope This Helps!

Find the sum.
(1−5q)+2(2.5q+8)

Answers

Answer:

14.5q+2

Step-by-step explanation:

0.4(-1.08) = ?

what is the product?

Answers

Answer: -0.432

Step-by-step explanation:

0.4*1.08 would be 0.432 add the negative sign to get -0.432

The product of 0.4 and -1.08 is -4.240.

What is Multiplication?

Multiplication is a method of finding the product of two or more numbers

To multiply 0.4 and 1.08, we need to follow few steps

first multiply as if there is no decimal.

Next, count the number of digits after the decimal in each factor.

Finally, put the same number of digits behind the decimal in the product.

   0.40

    1.08

___________

     240

   000+

 040++

____________

    4.240

As there is a negative sign infront if 1.08, we will put minus sign to the product value

So 0.4(-1.08) is -4.240

Hence the product of 0.4 and -1.08 is -4.240.

To learn more on Multiplication click:

https://brainly.com/question/5992872

#SPJ2

Find the quotient of 902÷27
(It has a remainder)

Answers

Answer:

The quotient of 902 divided by 27 equals 33 and the remainder is 11.

. Ramu took a loan of 50000 rupees from a bank which charges 10% interest, compounded an- nually. He repaid 10000 rupees after one year and 15000 rupees after two years. How much should he pay at the end of three years to settle the loan?​

Answers

Answer:

= 30,550 rupee owed

Step-by-step explanation:

yr1 = 50000 x 0.10^1 = 5000

5000 - 10000 = 5000 credit from debt.

yr 2 = 50000 x 1.10^2 = 500 debit from debt = 5000-15000= 10,000 credit from debt

yr 3 = 50000 x 1.10^3 = 50 debit from debt

5000 + 500 = 15000 where 50,000 owed initially and yr1 and yr 2 paid in full interest of 5500 and we deduct this from his payment = 25000-5500 =

19500 paid of initial and nothing owed on interest.

50000-19500= 30,500 rupees owed + 50 rupee interest.

= 30,550 rupee owed

The amount he should pay at the end of the three years to settle the loan is; 41,550 Rupees

Compound Interest

We are given;

Investment = 50000 rupees

Annual Interest Rate = 10% = 0.1

Since the interest is compounded annually, then number of times of compounding = 3

Thus;

Amount to pay after 3 years is;

A = 50000(1 + 0.1)³

A = 50000 × 1.1³

A = 66500 Rupees

Now, we are told that he has already paid 10000 rupees after one year and 15000 rupees after two years. Thus, amount he now owes to settle the loan = 66500 - (10000 + 15000) = 41,550 Rupees

Read more on Compound Interest at; https://brainly.com/question/2455673

plz help thxxxxxxxxxxxxxxxxxx​

Answers

Answer:

slope is positive 2/1

Step-by-step explanation:

Answer:

a) the slope is 2 because the line goes from (4,1) to (5,3)

I d k any of the bonus questions tho sorryyyy

Step-by-step explanation:

What is an equation in point slope form for the line perpendicular to..

Answers

Answer:

b

Step-by-step explanation:

And since we're perpendicular to y is equal to 3x plus 9, we know the slope of the two lines that are perpendicular

K times 3 is minus 1, so k is minus 1/3,

Only b and c match. Plug in the point negative 6,5.

The answer is b.

what is the converse of "If you know Spanish, you can join the Foreign Language Club."

Answers

Answer:

If you can join the foreign language club then you know spanish.

Giving me brainlest or sth will be appreciated

how do you use subsitution for5x+2y=4

Answers

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    5*x+2*y-(4)=0

Equation of a Straight Line

1.1     Solve   5x+2y-4  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  5x+2y-4  = 0 and calculate its properties

Graph of a Straight Line :

Calculate the Y-Intercept :

Notice that when x = 0 the value of y is 2/1 so this line "cuts" the y axis at y= 2.00000

 y-intercept = 4/2  =  2  

Calculate the X-Intercept :

When y = 0 the value of x is 4/5 Our line therefore "cuts" the x axis at x= 0.80000

 x-intercept = 4/5  =  0.80000  

Calculate the Slope :

Slope is defined as the change in y divided by the change in x. We note that for x=0, the value of y is 2.000 and for x=2.000, the value of y is -3.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -3.000 - 2.000 = -5.000 in y. (The change in y is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -5.000/2.000 = -2.500  

Geometric figure: Straight Line

 Slope = -5.000/2.000 = -2.500

 x-intercept = 4/5 = 0.80000

 y-intercept = 4/2 = 2

3 sss, aas, sas, or not enough information

Answers

Answer:

AAS

Step-by-step explanation:

I'm pretty sure its this, but im sorry if im wrong!

1.4×10−5 and 2.8×10−4

Answers

Answer:

Step-by-step explanation:

Step one- is solving the left side of the equation using PEMDAS, 1.4x10 = 14

Step two- 14-5 = 9

Step 3 - 2.8 times 10 = 28

Step 4 - 28- 4 = 24

The answer is 9 and 24

Express each number in scientific notation.
a) 1 300 000 c) 882 500 000
b) 12 500 d) 51 670 000

Answers

Answer:

1.3 x 10^6

8.825 x 10^8

1.25 x 10^4

5.167 x 10^7

Step-by-step explanation:

The line through (-2, 3) with slope 2/3 in point slope form​

Answers

Answer:

y - 3 = 2/3(x + 2)

Step-by-step explanation:

slope = 2/3

point-slope form --> y - y1 = m(x - x1)

y - 3 = 2/3(x - -2)

y - 3 = 2/3(x + 2)

point slope form of the line is y - 3 = 2/3(x + 2)

Answer:

y - 3 = 2/3(x + 2)

8/7 divided by 5/2?

Answers

Answer:

16/35

Step-by-step explanation:

(8/7)/(5/2)

8/7 * 2/5

16/35


So, if the average family earned $4,000 per month, how much would they send back
out to pay debreach month
What kinds of things could you do with that money?

Answers

hazlo tu misma, perra. buy

Please help I have 15 minutes left for my assessment. Thank you!

Answers

Answer:

57kg

Step-by-step explanation:

We need to find the length of each piece of metal:

We already know that 2 of them are 6m and 8m and this would be the same for the pieces of metal opposite.

So we have four lengths - 6m, 6m, 8m, and 8m

To find the last length, we need to use pythagoras theory

a² + b² = c² where c is the slanted side, or the diagonal

6² + 8² = c²

36 + 64 = 100

c² = 100

c = √100 = 10

So the five lengths are 6m, 6m, 8m, 8m, and 10m and the total is 38m

If:

1m = 1.5kg

38m = ?kg

We have to multiply both sides by 38

1m × 38 = 38m

1.5kg × 38 = 57kg

So, the total weight of metal in the frame is 57kg

is 3 a rational answer

Answers

Answer:

YES!!

Step-by-step explanation:

All rational numbers can be expressed as a fraction whose denominator is non-zero. Here, the given number, 3 can be expressed in fraction form as 3⁄1. Hence, it is a rational number.

Yup 3 is a rational number.
A rational number is any number that can be written as a fraction, like x over y.

In a triangle abc angle a =x and angle b=2x what is the size of angle c

Answers

Answer:

∠c = 180 - 3x

Step-by-step explanation:

Triangle interior angles = 180.

Remember this fact:

The sum of the angles of any polygon = (number of sides in the figure - 2)(180)

∠a = x

∠b = 2x

∠c = 180 - 3x

A watch worth Rs. 5400 is offered for sale at Rs. 4590 , then the percent of discount offered during the sale is

Answers

Answer:

15%

Step-by-step explanation:

4590 = 5400 - D% × 5400

4590 = 5400 - D/100 * 5400

4590 = 5400 - 54D

54D = 5400 - 4590

D = 810 / 54

D = 15%

Dont forget to give me the brainliest.

Evaluate the expression (ill give brainiest)

Answers

Answer:

2 [tex]\frac{3}{4}[/tex]

Step-by-step explanation:

Substitute the given values into the expression

2 ( [tex]\frac{1}{16}[/tex] + ([tex]\frac{1}{4}[/tex] )² ) + 5([tex]\frac{1}{2}[/tex] )

= 2 ( [tex]\frac{1}{16}[/tex] + [tex]\frac{1}{16}[/tex] ) + [tex]\frac{5}{2}[/tex]

= 2 ([tex]\frac{2}{16}[/tex] ) + [tex]\frac{5}{2}[/tex]

= 2 ([tex]\frac{1}{8}[/tex] ) + [tex]\frac{5}{2}[/tex]

= [tex]\frac{1}{4}[/tex] + [tex]\frac{10}{4}[/tex]

= [tex]\frac{11}{4}[/tex]

= 2 [tex]\frac{3}{4}[/tex]

Run it up hb gotchu w them points

Answers

Answer:

C

Step-by-step explanation:

Answer:

This one is C

Step-by-step explanation:

If the volume of the cube was 27 (each side length is 3 units), what would the new volume be if each side length of the cube was reduced to 2 units?

Answers

clapped

Step-by-step explanation:

The new volume would be 8 because 2 by 2 by 2 equals 8.

Can someone help me with this

Answers

-6 + x = -7

+6        +6        add 6 to both sides, 6's cancel out on the left.

________

x = -1, is the answer.

Hope this helps! Let me know if you have any other questions related to this problem. :)

Answer:

x= -1

Step-by-step explanation:

-6+x = -7

x = -7+6

x= -1

Simplify the radical please I need sleep it's 1 am I wake up at 4

Answers

Answer:

[tex]4cba*\sqrt{5bc}[/tex]

Step-by-step explanation:

[tex]\sqrt{4^{2} *5a^{2}b^{2}bc^{2} c }[/tex]

[tex]4cba*\sqrt{5bc}[/tex]

Complete the equation. ( − 4 ) 2 =

Answers

Answer:

-16

Step-by-step explanation:

multiply 4x4 and then determine if its negative or positive

-8 This is what I believe it is hopefully this helps

Help WITH THE MATH PLEASE QUICK

Answers

Answer:

Step-by-step explanation:

2x - 3 = 135    {Corresponding angles are congruent}

2x = 135 + 3

2x = 138

Divide both sides by 2

x = 138/2

x = 69

[tex]\small\boxed{\begin{array}{cc} \hline\sf \normalsize {Math \: \: \: Question}\\ \hline\end{array}}[/tex]

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

2× - 3 = 135

2× = 135 + 3

2× = 138

× = 138/2

× = 69

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

[tex]\begin{gathered}\begin{gathered}\tiny\boxed{\begin{array} {} \red{\bowtie}\:\:\:\: \red{\bowtie}\\。◕‿◕。\end{array}}\end{gathered}\end{gathered}[/tex]:BrainliestBunch

there years ago Ava lent her sister $400 to buy some clothes. today Ava's sister pay her loan in full with $454. what simple annual interest rate did she pay?

Answers

Answer:

4.5% per year

Please help. I'll mark the answer as brainliest.​

Answers

thanks for the points

Step-by-step explanation:

hehe

Other Questions
i need your help again Suppose you've just heard an opera singer warm up her voice. Write your own science question about the sounds a singer makes. i need help on this 4 Distance between the lines 3x +4y =9 and 6x + 8y =15 is A chemical reaction takes place in a closed system. The mass of the reactants before the reaction was grams. What must the mass of the products of the reaction be, according to the law of conservation of mass?A. 35 grams B. 30 grams C. 70 grams D. 25 grams if a red plant is crossed with a white plant and the offspring is pink, what is it called ? Which of the following algebraic expressions will translate the sum of eight and twice w? A: 8 + w B: 2(8) + w C: 8 = 2w D: None of these choices are correct. OK SO this is my report card, not my final. I have 2 more coming out so all three add up to my final. how much would i need in my classes to have an average of 90 smt for my FINAL report card?? pls send help the daffodils nodded thier yellow heads at the walkers? which action by the nurse ensures patient safety when administering an intramuscular injection? Y=6x+13 x-intercept and y-intercept Steve leaves the corner of First and Maple on his bicycle and travels an average speed of 9 mi/hr. Two hours later,his brother leaves from First and Maple, following him on a moped traveling 27 mi/hr. How long will it take him to catch up with steve? Little help, please?Read the following quote from Mark Twain: "It should, it seems to me, be our pleasure and duty to make thosepeople free, and let them deal with their own domestic questions in their own way. And so I am an anti-imperialist. Iam opposed to having the eagle put its talons on any other land."In a short paragraph, reflect on how this quote represents the anti-imperialists' point of view. What is the impact ofTwain's use of the metaphor of the eagle and its talon? Type your response in the box below. Can someone please tell me what is the Notebook movie about and What does it represent Simplify the expression the square root of 4x^2/3y. Show your work. Pls help me Im so lost Pls help me i only know the answer but I dont know how to explain it. 4. Some biologists declare "structure determines functions." The 3-D molecular geometry in small molecules (or units of molecules) are critical in the final shape of larger structures. Give an example, not found in your notes or textbook that illustrate how a change a final shape can affect how the structure functions (or how other substances interact with it) and explain your choice. Someone pls help me I will make you brain Amanda can jog 181818 miles in 555 hours.At this rate, how many miles can Amanda jog in 444 hours?