solve (x+1) (x-11) = -36
x = ?
can someone help pls​

Answers

Answer 1

Answer:

[tex]x=5[/tex]

Step-by-step explanation:

1. Approach

The most logical steps to solve the given equation are to distribute and simplify the left side of the equation. Then use inverse operations to bring all of the terms to the left side of the equation. After doing so, one can factor the equation again, then use the zero-product property to solve it.

2. Simplify

Distribute the terms on the left side, multiply everything in the first parenthesis by everything in the second,

[tex](x+1)(x-11)=-36[/tex]

[tex](x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36[/tex]

Simplify this expression by performing the multiplication and then combining like terms,

[tex](x)(x)+(1)(x)+(-11)(x)+(1)(-11)=-36[/tex]

[tex]x^2+x-11x-11=-36[/tex]

[tex]x^2-10x-11=-36[/tex]

Inverse operations,

[tex]x^2-10x-11=-36[/tex]

[tex]x^2-10x+25=0[/tex]

3. Factor and solve,

Now that has the simplified version of the equation, one should factor it. Rewrite the quadratic expression as a product of two linear expressions,

[tex]x^2-10x+25=0[/tex]

[tex](x-5)^2=0[/tex]

Use the zero product property to solve this expression. The zero product property states that any number times zero equals zero. Since ([tex](x-5)^2[/tex]) is just ([tex]x-5[/tex]) multiplied by itself, thus, when solving, one can ignore the square part of the equation:

[tex](x-5)^2=0[/tex]

[tex]x-5=0[/tex]

Inverse operations,

[tex]x-5=0[/tex]

[tex]x=5[/tex]


Related Questions

Convert 6 kilograms into pounds. Round your answer to the nearest tenth.

Answers

[tex]\boxed{\sf 1kg=2.205lbs}[/tex]

[tex]\\ \sf\longmapsto 6kg[/tex]

[tex]\\ \sf\longmapsto 6(2.205)[/tex]

[tex]\\ \sf\longmapsto 13.23lbs[/tex]

The answer would be 13.2 pounds!
If 1 kg is equivalent to 2.2 pounds…. therefore 6 kg would be 6 x 2.2 which gives you 13.2

m∠ABC = (9x + 4)° and m∠DEF = (13x − 22)°. If ∠ABC and ∠DEF are supplementary, what is the measure of each angle?

Answers

Answer:

∠ABC measures 85° and ∠DEF measures 95°.

Step-by-step explanation:

We are given that ∠ABC and ∠DEF are supplementary. Then by definition:

[tex]\displaystyle m\angle ABC + m\angle DE F = 180^\circ[/tex]

Substitute:

[tex]\displaystyle \left(9x+4\right) + \left(13x-22\right) = 180[/tex]

Solve for x. Combine like terms:

[tex]22x -18 = 180[/tex]

Add:

[tex]\displaystyle 22x = 198[/tex]

And divide. Hence:

[tex]\displaystyle x = 9[/tex]

To find the measure of ∠ABC, substitute and evaluate:

[tex]\displaystyle \begin{aligned}m\angle ABC &= 9x + 4 \\ &= 9(9) + 4 \\ &= 81 + 4 \\ &= 85^\circ \end{aligned}[/tex]

And:

[tex]\displaystyle \begin{aligned}m\ngle DE F &= 13x - 22 \\ &= 13(9) - 22 \\ &= 117-22 \\&= 95^\circ \end{aligned}[/tex]

In conclusion, ∠ABC measures 85° and ∠DEF measures 95°.

how much time will it take for a bug to travel 5 meters if it is traveling 1 m/s

Answers

Answer:

5

Step-by-step explanation:

divide the distance by the rate of speed

5/1=5

Answer:

5 seconds.

Step-by-step explanation:

Sum of the maximum and minimum values ​​of y=2cos^2 x + 3sin^2 x + 5

Answers

To begin with, we can simplify y using the Pythagorean identity:

y = 2 cos²(x) + 3 sin²(x) + 5

y = 2 (cos²(x) + sin²(x)) + sin²(x) + 5

y = 2 + sin²(x) + 5

y = sin²(x) + 7

Next, we can further rewrite this using the half angle identity for sine:

y = (1 - cos(2x))/2 + 7

y = 15/2 - 1/2 cos(2x)

Now, since cos(x) is bounded between -1 and 1, we have

max(y) = 15/2 - 1/2×(-1) = 15/2 + 1/2 = 8

and

min(y) = 15/2 - 1/2×1 = 15/2 - 1/2 = 7

Then the sum of the maximum and minimum is 8 + 7 = 15.

16. A perfect number is one for which the sum of the proper divisors is
equal to the number. (The proper divisors are the ones that are less than
the number and divide evenly into the number.) For instance, 496 is a
perfect number. The proper divisors of 496 are 1, 2, 4, 8, 16, 31, 62, 124,
and 248. The sum of the divisors is
1 + 2 + 4 + 8 + 16 +31 +62 + 124 + 248 = 496.
Find a perfect number between 20 and 30.
I
SECTION
a. Anita and the owner of the utility stock purchased their shares
through an online brokerage, whereas Tony and the owner of the au-
tomotive stock did not.
b. The gain in value of Maria's stock is twice the gain in value of the au-
tomotive stock
c. The technology stock is traded on NASDAQ, whereas the stock that
Tony bought is traded on the New York Stock Exchange.

Answers

Answer:

Step-by-step explanation:

16. Use Euclid Perfect Number formula:

If [tex]2^{n} -1[/tex]a a prime number, then [tex]2^{n-1}(2^{n} -1)[/tex] is a perfect number. 6 is a perfect number when n=2 Let try when n=3

[tex]2^{2} (7)=28[/tex]

So 28 is a perfect number

Describe how to use a random number generator to simulate the following performances

a) A basketball player has the ability to make 40% of his shots and takes 25 shots in one game.

b) A basketball player has the ability to make 75.2% of her free throw shots and she takes 8 free throws in a game.

Answers

Answer:

random number generators return numbers from 0 to 1...

a) generate 25 random numbers if the number x is ≤ .4 he makes the shot

otherwise he misses

a) generate 8 random numbers if the number x is ≤ .752 she makes the shot otherwise it is a miss

otherwise he misses

Step-by-step explanation:

3(m+1)+1>7 what is m?

Answers

3m+3 +1 >7
3m +4 > 7
3m > 3
m is 1

499 rounded to the nearest ten is
510
500
490

Answers

Answer:

500

Step-by-step explanation:

Since we are rounding to the tens place, that is the second value in the number 499. Remember these details when rounding;

4 and below round down5 and above round up

Since we have a 9, we round up get and 500.

Best of Luck!

Answer:

499 rounded to the nearest tenth is 500.

Step-by-step explanation:

499 rounded to the nearest tenth is 500 because, every tenths place is + 10

the closest tenth 499 is closest to would be 500.

Hope this helped :)

help whhhahahahaha Helpppppppp

Answers

Answer:

320/420 = 4/3

Step-by-step explanation:

4/7= x /560

Cross multiply

7x = 2240

Divide by 7:

x=320

The school has 320 boys and 240 girls

I hope this helps u:)

Answer:

Problem(1):     [tex]21[/tex]

Problem(2):     Side length = [tex]\frac{1}{4}[/tex]    Area = [tex]\frac{1}{16}[/tex]

Problem(3):     Boys = [tex]320[/tex]     Girls = [tex]240[/tex]

Step-by-step explanation:

(Notes steps are cut from this answer so that it isn't too long)

1. Problem (1)

One is given the following information:

[tex]x+\frac{1}{x}=5[/tex][tex](x-\frac{1}{x})^2[/tex]

The most logical first step is to solve for the value of (x). One can solve for the numerical value of (x) with the first equation.

[tex]x+\frac{1}{x}=5[/tex]

Multiply the entire equation by (x),

[tex]x^2+1=5x[/tex]

Inverse operations put the equation in the general format of a quadratic equation. The general format of a quadratic equation is as follows,

[tex]ax^2+bx+c=0[/tex]

Put the given equation in this format,

[tex]x^2-5x+1=0[/tex]

Now use the quadratic formula to solve for the value of (x). The quadratic formula uses the coefficients of the terms in a quadratic equation to find the roots of the equation. The quadratic formula is as follows,

[tex]\frac{-b(+-)\sqrt{b^2-4ac}}{2a}[/tex]

Use the coefficients of the terms in the given quadratic equation in the formal, then simplify to solve for solutions of the given equation,

[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]

Simplify,

[tex]\frac{-(-5)(+-)\sqrt{(-5)^2-4(1)(1)}}{2(1)}[/tex]

[tex]\frac{5(+-)\sqrt{21}}{2}[/tex]

Now substitute these values into the equation and simplify, even though there are two values of (x), there will only be one solution,

[tex]((\frac{5+\sqrt{21}}{2}-\frac{1}{\frac{5+\sqrt{21}}{2}})^2[/tex]                                      [tex]((\frac{5-\sqrt{21}}{2}-\frac{1}{\frac{5-\sqrt{21}}{2}})^2[/tex]  

[tex](\frac{5+\sqrt{21}}{2}-\frac{2}{5+\sqrt{21}})^2[/tex]                                      [tex](\frac{5-\sqrt{21}}{2}-\frac{2}{5-\sqrt{21}})^2[/tex]

Convert to a common denominator,

[tex](\frac{5+\sqrt{21}}{2}*\frac{5+\sqrt{21}}{5+\sqrt{21}}-\frac{2}{5+\sqrt{21}}*\frac{2}{2})^2[/tex]                   [tex](\frac{5-\sqrt{21}}{2}*\frac{5-\sqrt{21}}{5-\sqrt{21}}-\frac{2}{5-\sqrt{21}}*\frac{2}{2})^2[/tex]

[tex](\frac{(5+\sqrt{21})^2-4}{2(5+\sqrt{21})})^2[/tex]                                           [tex](\frac{(5-\sqrt{21})^2-4}{2(5-\sqrt{21})})^2[/tex]

Simplify,

[tex](\frac{25+10\sqrt{21}+21-4}{10+2\sqrt{21}})^2[/tex]                                     [tex](\frac{25-10\sqrt{21}+21-4}{10-2\sqrt{21}})^2[/tex]

[tex](\frac{42+10\sqrt{21}}{10+2\sqrt{21}})^2[/tex]                                              [tex](\frac{42-10\sqrt{21}}{10-2\sqrt{21}})^2[/tex]

[tex]\frac{1764+840\sqrt{21}+2100}{100+40\sqrt{21}+84}[/tex]                                      [tex]\frac{1764-840\sqrt{21}+2100}{100-40\sqrt{21}+84}[/tex]

[tex]\frac{3864+840\sqrt{21}}{184+40\sqrt{21}}[/tex]                                               [tex]\frac{3864-840\sqrt{21}}{184-40\sqrt{21}}[/tex]

[tex]21[/tex]                                                            

2. Problem (2)

All four sides of a square are congruent (have the same measure), thus dividing the perimeter of a square by (4) will yield the side length of the square,

[tex]Perimeter\ of\ the\ square: 4\\Side\ length: \frac{1}{4}[/tex]

The area is the two-dimensional space that a figure takes up, in the case of a square, the area is the side length times itself:

[tex]A=(\frac{1}{4})^2=\frac{1}{16}[/tex]

3. Problem (3)

Let (x) represent the amount by which the ratio of boys to girls was scaled down. Assuming that these are the only two genders in the school, one can state that the sum ratio coefficients times the scaling value for both boys and girls, will equal the total number of people in the school. Thus, one can form the following equation and solve it with inverse operations and simplification,

[tex]boys + girl = total\ students\\4x + 3x = 560\\7x = 560\\x = 80[/tex]

Now substitute this into the expression for the two genders in this scenario, respectively, to solve for the actual number of students of that gender,

Boys,                         Girls,

[tex]4(x)[/tex]                             [tex]3(x)[/tex]

[tex]4(80)[/tex]                           [tex]3(80)[/tex]

[tex]320[/tex]                              [tex]240[/tex]

50 yards of fabric for 18 flags Unit rate

Answers

Answer:
0.36 ( hope this helps :)

15 = [tex]\frac{5}{3}[/tex] (x + 12)

Answers

Answer:

x = -3

Step-by-step explanation:

15 = 5/3 (x + 12)

Multiply each side by 3/5 to clear the fraction

3/5 *15 =3/5 *5/3  (x + 12)

9 = x+12

Subtract 12 from each side

9-12 = x+12-12

-3 =x

Answer:

15 = 5/3(x + 12)

Using distributive law

15 = 5x/3 + 20

15 = 5x + 60/3

15 × 3 = 5x + 60

45 = 5x + 60

45 - 60 = 5x

-15 = 5x

-15/5 = x

-3 = x

the ratio of 3 less than k to 2 more than k

Answers

We will find that the ratio of 3 less than k to 2 more than k is:

(k - 3):(k + 2)

The ratio between two numbers A and B can be written as:

A:B

This is the ratio of A to B

and

B:A

Is the ratio of B to A.

Then for the ratio of 3 less than k to 2 more than k we have:

"3 less than k" is: k - 3

"2 more than k" is: k+ 2

Then the ratio is:

(k - 3):(k + 2)

if you want to learn more, you can read:

https://brainly.com/question/13419413

If your car gets 34 miles per gallon, how much does it cost to drive 420 miles when gasoline costs $3.30 per gallon?

Answers

Answer:

$40.76, if rounded then $40.80.

Step-by-step explanation:

you do 420 times 3.30 divided by 34

is the expression 5+3x/2 equal to the expression 4x

Answers

Answer:

No

Step-by-step explanation:

[5+3x] is an expression that cannot be added because 5 is a natural interger but 3x is an unknown

and therefore it cannot be divided by 2 to get 4

Better example :

if the question will give 4x , then

it should be [5x+3x]/2 = 8x/2 = 4x

it's obvious from the example I gave that 8x can be divided by 2 to give 4x

It is given that the gradient of a straight line which passes through M(h,3) and N(-2,-9) is 2, calculate the value of h.​

Answers

Answer:

h = 4

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to 2

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = M (h, 3 ) and (x₂, y₂ ) =  N (- 2, - 9 )

m = [tex]\frac{-9-3}{-2-h}[/tex] = [tex]\frac{-12}{-2-h}[/tex] , then

[tex]\frac{-12}{-2-h}[/tex] = 2 ( multiply both sides by - 2 - h )

2(- 2 - h) = - 12 ( divide both sides by 2 )

- 2 - h = - 6 ( add 2 to both sides )

- h = - 4 ( multiply both sides by - 1 )

h = 4

help me with this plsssssssss ps that is a 2

Answers

Answer:

14...

plz mark me brailiest

Given that g(x) = x°, find each of the following.
a) g(1)
b) g(-2)
c) g(-x)
d) g(3y)
e) g(1 + h)

Answers

C g (-x) That’s what the answer is for that question

Is the expression 2•4 equal to the expression 8x? Explain your answer

Answers

9514 1404 393

Answer:

  no

Step-by-step explanation:

The expression 2·4 has the value 8.

The expression 8x has the value 8x, which is only equal to 8 when x=1. In general, x may have any value, so the expressions are not equal.

The coordinates of point T are (0,6). The midpoint of ST is (3, -4). Find the coordinates of point S

Answers

Answer:

S = (-8, 0 )

Step-by-step explanation:

a die is rolled find the probability of rolling a multipul of 5​

Answers

Answer:

1/6

Step-by-step explanation:

It's 1/6 because the only multiple of 5 in a die is 5, so it will be 1/6.

4,540,597 to the nearest million

Answers

Answer:

Hi, there! The correct Answer Is Below

4,540,597 Would Round To 5,000,000

Step-by-step explanation:

If the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up. Example: 38 rounded to the nearest ten is 40. ...

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down. Example: 33 rounded to the nearest ten is 30.

________________________________________________________

-Darkspirit-

Answer:

Step-by-step explanation:

The hundred thousands digit is 5 so it is 5,000,000.

the round trip distance between City X and City Y is 647 miles. A national park is between City X and City Y, and is 27 miles from City X. Find the round trip distance between the national park and city Y. Justify your answer.

Answers

The round trip distance between the national park and city Y is 593 miles.

Given:

Round trip distance from City X and City Y = 647 milesDistance between City X and national park = 27 miles

To find :

The round trip distance between the national park and city Y

Solution:

According to the question, the round trip distance between City X and City Y is 647 miles.

Let the distance from City X to City Y = d

Let the distance from City Y to City X = d

[tex]d+d=647 miles\\2d=647 miles\\d=\frac{647miles}{2}=323.5 miles[/tex]

Distance from City X to City Y = 323.5 miles

Distance of City X from national park = 27 miles

From the figure, the distance of the national park from the City Y = d -27 miles:

[tex]= 323.5 miles - 27 miles = 296.5 miles[/tex]

The distance from national park to City Y = 296.5 miles

When we will be going on the round trip between the national park and city Y we will be first traveling 296.5 miles from the national park to the City Y and then 296.5 miles from City Y to the national park.

So, the round trip distance between the national park and city Y:

[tex]296.5 miles + 296.5 miles = 593 miles[/tex]

So the round trip distance between the national park and city Y is 593 miles.

Learn more about- Round trip Distance

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More help Pls (am also giving away points).

Answers

Answer:

But where is the question???????

Please Don't Offer point$ Without any Questions.

It's my Kind Request.

2.6 a simplified fraction and the 6 is a repeating decimal

Answers

13/5 - is the fraction

What effect does replacing x with x - 4 have on the graph for the functionſ (x)?
f(x) = |x – 6| + 2

Answers

Step-by-step explanation:

The graph is shifted 4 units left.

The graph is shifted 4 units right.

The graph is shifted 4 units up.

The graph is shifted 4 units down.

Pamella late for school 10% of time. Richard late for 15% of the time.
a) What percentage are they both late?
b) What is the probability only one of them is late?​

Answers

Answer:

a) 25%

10%+15% = 25%

b) doesn't have any idea

2. CHARITY Luis was in charge of collecting money for
a group of charities. He collected $979 for11charities.
If the money was divided evenly, how much was
given to each charity?
Help me !!

Answers

Answer:

89$ for 11 Charities

Step-by-step explanation:

I. If Luis has $979 and he wants to give it to 11 charities right?

  So  [tex]\frac{979}{11}[/tex]

    = 89$

There are 16 tablespoons in 1 cup. How many tablespoons of cornstarch would Chery need to make the green slimerecipe 15 time?

Answers

240!
16 xs 15 = 240

please vote me brainliest! :)

Evaluate the expression.
5 x -3 + 2

Answers

Answer:

5x-1

Step-by-step explanation:

solution

5x-3+2

or, 5x-1


Seven of the algebra classes at a school have 23 students each. The eighth class has 25
students. What is the total number of students?

Answers

Answer: 186 students

Step-by-step explanation:

7x23+25= 186

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