solve for x for this problem

Solve For X For This Problem

Answers

Answer 1

Answer:

x = 5 and 6

Step-by-step explanation:

1. Square both sides
x - 5 = (x - 5)(x - 5)
2. Simplify the right side
x - 5 = x^2 - 10x + 25
3. Add 5 to both sides
x = x^2 - 10x + 30
4. Subtract x from both sides
0 = x^2 - 11x + 30
5. Factor
0 = (x-5)(x-6)
x = 5,6

Answer 2

Answer:

x = 5 , x = 6

Step-by-step explanation:

[tex]\sqrt{x-5}[/tex] = x - 5 ( square both sides )

x - 5 = (x - 5)² ← expand using FOIL

x - 5 = x² - 10x + 25 ← subtract x - 5 from both sides

0 = x² - 11x + 30 ← in standard form

0 = (x - 5)(x - 6) ← in factored form

equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x - 6 = 0 ⇒ x = 6

As a check

substitute these values into the equation and if both sides are equal then these values are the solutions.

x = 5

left side = [tex]\sqrt{5-5}[/tex] = [tex]\sqrt{0}[/tex] = 0

right side = 5 - 5 = 0

then x = 5 is a solution

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

x = 6

left side = [tex]\sqrt{6-5}[/tex] = [tex]\sqrt{1}[/tex] = 1

right side = 6 - 5 = 1

then x = 6 is a solution


Related Questions

Difference between y and 23 is 12

Answers

Answer:

[tex]y=11[/tex]

Step-by-step explanation:

⇒ [tex]23 - y[/tex]  (Difference means subtraction)

⇒ [tex]23 - y = 12[/tex] (Subtract 12 from 23)

⇒ [tex]y = 11[/tex] (The difference from 23 - 12)

Hii!

___________________________________________________________

Answer:

y=11

Step-by-step explanation:

Let's set up an equation.

"difference between y and 23" tells us to subtract y from 23, so we'll do just that.

23-y=12

Now subtract 23 from both sides

-y=-11

Divide both sides by -1

y=11 "We solved for the variable"

--

Hope that this helped! Best wishes.

--

(9x³+5)/(2x - 3)
How do I divide these using long division

Answers

(9x³+5)/(2x - 3)

split up (9x³+5)

9x³/2x-3 + 5/2x-3

attached solution.

Question 1 of 10
Solve the rational equation:
2x/ x - 3 = 3x/ x - 2

Answers

Your answer is x= 0, x= 5

find the first 4 terms and the 10th term from 3n+4

Answers

Answer:

16 and 34

Step-by-step explanation:

The general form = 3n+4

The 4th term = 3(4)+4 = 12+4 = 16

The 10th term = 3(10)+4= 30+4= 34

For the regions bounded by y = 6cosx and y = one fourth x squared minus 7.

Part A: Find the limits of integration. (10 points)

Part B: Write the expression representing the total area. (10 points)

Part C: Solve for the total area. (10 points)

Answers

For the regions bounded by y = 6cosx and y = one-fourth x squared minus 7, the limits of integration, the expression representing the total area, and the total area are mathematically given as

A=27.03squnit

What are the limits of integration, the expression representing the total area, and the total area.?

Generally, the equation for expression is mathematically given as

y = 6cosx

y=(1/4)x^2-7

therefore

[tex]A=\int^{b}_a (f(x)-g(x))dx[/tex]

The limits are

a=0 b=2\pi

Hence

[tex]A=\int ^{2\pi}_0 (6cosx -((1/4)x^2-7))dx\\\\solving\\\\A=\int^{2\pi}_0 (6cosx -((1/4)x^2-7))dx[/tex]

A=27.03squnit

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Please help !!! I will give 20 points to the correct answer !!! Thanks so much

Answers

I think x=-4 but I’m not sure

Answer:

x=-4,8

Step-by-step explanation:

To solve this, we can take the absolute value sign off -4x+8 and make the right side ±24. This makes the equation -4x+8=±24.

Simplifying, we have

[tex]-4x=\pm24-8\\x=\frac{\pm24-8}{-4} \\x=\frac{+24-8}{-4}, \frac{-24-8}{-4} \\x=-4, 8[/tex]

Use the graph or table to find the equation that represents the relationship.

please HELP!!!!!!

100 points and a Brainliest if your answer is clear and correct

Answers

#1

(5,-10)(10,-25)

Find slope

m=-25+10/10-5m=-15/5m=-3

y=-3x+5 is the equation as there is no other having slope -3

#2

(7,3)(1,-3)

slope

m=-3-3/1-7m=-6/-6m=1

y=x-4 as no other have slope m

#3

(0,-1)

y intercept is -1

y=2x-1 is the equation as it has y intercept -1

#4

(0,-4)

y intercept is -4

y=4/5x-4

Write an expression that can be used to produce vector b from vector a, and explain how you determined that expression.

Answers

Answer:

k(magnitude of vector a).vector a

Step-by-step explanation:

Given question is based on vectors so,

vectors :- Vectors in math is a geometric entity that has both magnitude and direction. Vectors have an initial point at the point where they start and a terminal point that tells the final position of the point. Various operations can be applied to vectors such as addition, subtraction, and multiplication.

To produce an another vector form a given vector we increase its magnitude only not its direction as we have to produce another vector from a given vector.

as its clear from the graph given in the question that only the magnitude of  vector a is increased to produce another vector b

hence we multiply any constant ('k') with the magnitude of vector a to increase its magnitude.

and finally multiply the increased magnitude with the vector 'a' itself.

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Evaluate tan5π. 0 1 -1 undefined

Answers

Step-by-step explanation:

[tex] = \tan(5\pi) [/tex]

[tex] = \tan(\pi + 4\pi) [/tex]

[tex] = \tan(\pi) [/tex]

[tex] = \tan(180 \degree) [/tex]

[tex] = 0[/tex]

The answer is A.

A class of 32 students contains 15 boys.
Twenty of the students walk to school each
day. Eight of the girls do not walk to school.
How many boys walk to school each day?

Answers

Answer:

11 boys walk to school each day

Step-by-step explanation:

*The following will be assumed: the only genders of students in the class are male or female; the only options for getting to school are walking or not walking

If there are 32 students in the class total, and there are 15 boys,

32 - 15 = 17

there are 17 girls.

If 8 of these girls do not walk to school,

17 - 8 = 9

9 girls walk to school

So, if 20 total students walk to school, and 9 of those are girls

20 - 9 = 11

11 boys walk to school each day.

Answer:

11

Step-by-step explanation:

Including jose, there are 8 people in his family
If order matters, how many ways can he arrange his family members into a row of 5 seats if jose must sit in the first seat?

Answers

The number of ways Jose can arrange his family members into a row of 5 seats if Jose must sit in the first seat is 840.

What is multiplication?

Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.

The number of ways Jose can make his family sit is,

Number of ways = number of ways people can sit on the first sit × number of ways people can sit on the second sit × number of ways people can sit on the third sit × number of ways people can sit on the fourth sit × number of ways people can sit on the fifth sit

Since Jose wants to sit on the first seat there are only options for the first seat, therefore,

Number of ways = 1 × 7 × 6 × 5 × 4 = 840

Hence, the number of ways Jose can arrange his family members into a row of 5 seats if Jose must sit in the first seat is 840.

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What is f(0)?
O 0 only
O -6 only
O -2, -1, 1, and 3 only
O -6, -2, -1, 1, and 3 only​

Answers

A function assigns the values. The correct option is C.

What is a Function?

A function assigns the value of each element of one set to the other specific element of another set.

For the given graph, the value of f(0) means the value of function when the value of x is 0. Thus, when the graph intersect with the x-axis is the value of f(0), therefore,the values of f(0) are -2, -1, 1, and 3 only.

Hence, the correct option is C.

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In a certain Algebra 2 class of 26 students, 16 of them play basketball and 9 of them
play baseball. There are 5 students who play both sports. What is the probability that
a student chosen randomly from the class plays basketball or baseball?

Answers

Answer:

.7692307692 or 10/26

Step-by-step explanation:

You solve this problem by finding the total number of sports playing students and dividing it by the total, in this case 26. Since we know there are 5 students that play both sports, you subtract that 5 from the total number of basketball plyers and baseball players, so 16-5=11 and 9-5=4, then add those together, so 11+4=15. From there you add back in the students that play both which is 5, so 15+5=20. 20/26 is your answer.

a single card is drawn from a standard 52-card deck calculate the probability and odds for the following event a jack or club is drawn

Answers

                                          17/52

Step-by-step explanation: There are 13 clubs in a deck of fifty-two cards and there are four jacks in a fifty-two deck.  So adding that up it's 17 out of 52 = 17/52.   And you can not reduce it.

Given A(-2, 5) and B(13, -7), find the midpoint of AB.
Select one:
a. (-2, 11)
b. (5.5, -1)
c. (11, -2)
d. (-1, 5.5)​

Answers

[tex]\left(\frac{-2+13}{2}, \frac{5-7}{2} \right)=\boxed{\left(5.5, -1)}[/tex]

Denise is designing the seating arrangement for a concert at an outdoor theater. To give everyone a good view, each row must have 6 more seats than the row before it, and the 1st row can only have 11 seats. Explain to Denise how to create an equation to predict the number of seats in any row. Then, using your equation, show your work to determine the number of seats in row 18.

Answers

As per the question each row must have 6 seats more than the row before it. And there are 11 seats in the first row.

So, the first row has 11 seats

2nd row has 11+6 seats

3rd row has 11+2*6=11+12=23

4th row has 11+3*6=11+18=29

and so on...

We know that the difference between any two consecutive integers in an arithmetic progression (AP) sequence of numbers is always the same amount. Arithmetic progression can be calculated as

aₙ = a₁ + (n - 1)d,

where aₙ is the nth and a₁ is the first term of this progression respectively and d is the common difference between terms.

So, we can observe the trend and develop the equation for the problem.

There are 11+(n-1)*6 seats in the n-th row.

So, there is 11+(18-1)*6=11+17*6=113 seats in the 18th row.

Therefore, there are 113 seats in the 18th row.

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prove that ABC is a right triangle. Select the correct answer from each drop down menu.

Answers

All the blanks have been filled , which proves ultimately that Triangle ABC is a right angled Triangle.

What is Right Angled Triangle ?

A triangle in which one angle is 90 degree is called a Right Angled Triangle.

AB is congruent to DB because segment DE was constructed so that DE = AB , BC is congruent to EF , because segment EF was constructed so that EF = BC , Since Triangle DEF is a right angled triangle .

DE² +EF²  = DF²  by the Pythagoras Theorem .

WE are given that AB²  +BC²  = AC²

Since DE = AB and EF = BC , DE²  +EF²  = AC²  by the given data

Also DF² = AC² by the above equation .

Taking the square root on both the sides of the equation gives DF = AC .

So AC is congruent to DF by the definition of congruency .

Applying SSS Congruency , Triangle ABC is congruent to DEF .Therefore ABC is a right angled triangle.

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solve the compound inequality -5<4x+3<=8

Answers

Inequality is a relation that compares two numbers or other mathematical expressions in an unequal way. The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:

The symbol a<  b indicates that a is smaller than b.

When a > b is used, it indicates that a is bigger than b.

We are given

-5 < 4x+3 ≤ 8

⇒ (add -3 to all sides to get ) -5+(-3) < 4x+3+(-3) ≤8+(-3)

⇒-8 < 4x ≤ 5

⇒[tex]\frac{-8}{4} < x \leq \frac{5}{4}[/tex]

⇒-2<x<5/4

Hence, the solution is -2<x<5/4.

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14. The probability my daughter will eat her dinner without complaining is 5/7. The probability she will eat
her dinner and do her homework all without complaining is 2/7. What is the probability she will do her
homework without complaining given that she ate her dinner without complaining?

Answers

Probability helps us to know the chances of an event occurring. The probability she will do her homework without complaining given that she ate her dinner without complaining is 2/5.

What is Probability?

Probability helps us to know the chances of an event occurring.

[tex]\rm Probability=\dfrac{Desired\ Outcomes}{Total\ Number\ of\ outcomes\ possible}[/tex]

Let eating dinner without complaining be A, and doing homework without complaining be B.

Given the probability my daughter will eat her dinner without complaining is 5/7. So, we can write,

P(A) = 5/7

Also, The probability she will eat her dinner and do her homework all without complaining is 2/7. So, we can write,

P(A∩B) = 2/7

Now, the probability she will do her homework without complaining given that she ate her dinner without complaining is,

[tex]P(B|A)= \dfrac{P(A\cap B)}{P(A)}[/tex]

             [tex]= \dfrac{\dfrac{2}{7}}{\dfrac57}\\\\\\= \dfrac25[/tex]

Hence, the probability she will do her homework without complaining given that she ate her dinner without complaining is 2/5.

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How to solve this one
Please step by step

Answers

Answer: 1/2

Step-by-step explanation:

Dividing the numerator and denominator by x, we get the limit is equal to:

[tex]\lim_{x \to -\infty} \frac{-\sqrt{1+\frac{5}{x}+\frac{1}{x^2}}+3}{4+\frac{7}{x}}\\\\=\frac{\lim_{x \to -\infty} \left(-\sqrt{1+\frac{5}{x}+\frac{1}{x^2}}+3 \right)}{\lim_{x \to -\infty} \left(4+\frac{7}{x} \right)}\\\\=\frac{2}{4}=\boxed{1/2}[/tex]

9. What is the exact circumference of a circle that has a radius of 5 cm?
25ncm
5псм
10Kcm
100псм

Answers

Answer:

10π cm

Step-by-step explanation:

c = 2πr

c = (2*5) * π

c = 10π

A trapezoid is a quadrilateral with one or more pairs of parallel sides.
O A. True
OB. False

Answers

The answer is B. False
The answer is B credits to the other guy

A hostel has food for 60 days if after 15 days 500 more students joined th hostel and the food lasted for 40days only. How many students were there in hostel

Answers

Answer:

625

Step-by-step explanation:

here we are in an inverse proportion situation :

As the number of days increases

when the number of students decreases and vice versa.

__________________

Say n is the original number of students.

___________________________________________

After 15 days, the rest of food is enough for n students for 45 days,

or enough for n+500 students for 25 days.

Then

45n = 25×(n + 500)

Then

45n = 25n + 25×500

Then

45n - 25n = 25×500

Then

20n = 12500

Then

n = 12500÷20

  = 625

and thus , there were 625 students in the hostel.

The measures of the angles of a triangle are shown in the figure below. Solve for x.

83 ⁰
to
59°

Answers

The value of x is 38 degree.

What is a Triangle ?

A triangle is a polygon with three sides , three angles and three sides .

The sum of all angles in a triangle is equal to 180 degree

The angles of the triangle given are

83 degree and 59  degree and x degree

83 + 59 + x = 180

x = 38 degree

Therefore the value of x is 38 degree.

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What is the domain of the linear parent function?

Answers

Answer:

The parent function of linear functions is y=x and it passes through the origin.The domain and range of all linear functions are all real numbers.



Step-by-step explanation:

Solve this for me please

Answers

Answer:

30.5

Step-by-step explanation:

here :

n represents the number of trials

p represents the probability of success

 In a binomial distribution, The mean

 is equal to the product of those two values.

In other words,

The mean = n × p

                 = 122 × 0.25

                 = 30.5

a supermarket display consists of boxes of cereal. the bottom row has 23 boxes. each row has three fewer boxes than the row below it. the display has six rows.

Answers

Answer:

93 boxes

Step-by-step explanation:

sixth row has 23 boxes

fifth row has 20 boxes

fourth row has 17 boxes

third row has 14 boxes

second row has 11 boxes

first row has 8 boxes

the total is thus 23+20+17+14+11+8=93

Match each equation below with its solution(s).
1. x² =4
2.x² = -4
3.x² +2=0
4.x²-2=0
5.x² = -18
6.x²=18
8.x+2=0
7.x-2=0
+2i +3i√√2 +√√2 2 ±2 -2 ±i√√2 +3√√2
Drag each solution above to the matching equation below.
1.
2.
3.
4.
5.
6.
7.
8.

Answers

[tex]1) \pm 2 \\\\2) \pm 2i\\\\3) \pm i\sqrt{2}\\\\4) \pm \sqrt{2}\\\\5) \pm 3i\sqrt{2}\\\\6) \pm 3\sqrt{2}\\\\7) 2\\\\8) -2[/tex]

Suppose that we agree to pay you 7​¢ for every problem in this chapter that you solve correctly and fine you ​6¢ for every problem done incorrectly. If at the end of 26 problems we do not owe each other any​ money, how many problems did you solve​ correctly?

Answers

Answer:

I solved 26 problems correctly.

Select all the correct graphs.
Choose the graphs that indicate equations with no solution.

Answers

There is no graphs shown
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