Solve for the variable and express the answer in set notation.
|5x - 4|= 11

Product of two polynomials can be done by distribution of multiplication over addition. The product of  [tex]-2x^2(x+6)[/tex] is [tex]-2x^3 - 12x^2[/tex]

Suppose a, b and c are three numbers. Then we have:

[tex]a(b + c) = a\times b + a\times c[/tex]

(a(b+c) means a multiplied to (b+c). The sign of multiplication is usually hidden when using symbols and both quantities which are in multiplication are written together without space)

The product result of the given expression is

[tex]-2x^2(x+6) = -2x^{2+1} -12x^2 =-2x^3 -12x^2[/tex]

It is because when bases are same and there is multiplication, then powers add up, so we have: [tex]a^b \times a^c = a^{b+c}[/tex]

Also, we've

[tex](-ve \times (+ve) = -ve\\(-ve) \times (-ve) = +ve\\(+ve) \times (+ve) = +ve\\(+ve) \times (-ve) = -ve[/tex]

where -ve, +ve are sign of operands and result.

That's why [tex]-2 \times 6 = -12[/tex]

Thus,

The product of  [tex]-2x^2(x+6)[/tex] is [tex]-2x^3 - 12x^2[/tex]

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[tex]\huge \boxed{\sf (-6,-2.5)}[/tex]

[tex]\sf Midpoint \ formula:\\\\ \displaystyle (x_m, y_m) = \frac{x_1+x_2}{2}, \frac{y_1+y_2}{2} \\\\\\ \frac{-11+-1}{2}, \frac{4+-9}{2}=\frac{-12}{2}, \frac{-5}{2} =-6,-2.5[/tex]

The midpoint formula can determine the midpoint of a line segment given its endpoints. The midpoint is the location midway between two endpoints, as the name may have already implied. Divide the total of the x-values by 2 and the same for y-values.

Answer:

Step-by-step explanation:

Remember:

So, we do division:

6 3/4 = 6.75.

Answer :

[tex]6\frac{3}{4}[/tex]

= 6.75

Answer:

I don't think you are asking a math question, but in my opinion you should choose a leader that you think would be responsible in a group, then tell them what the group needs to do.

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

15 has 2 factors 5 and 3

80 gets split into 16 and 5

then split into 8 and 2

then 2 and 4

then 2 and 2

the GCF therefore is 5

Answer: there is no b and c so you cant find b and c

Step-by-step explanation:

The number of years it took the amount invested to accrue to £316.53 is  23.7 years.

Compound interest is when both the money invested and the money already accrued earn interest.

Number of years =  in(fv / pv) r

FV = future value

PV = present value

r = interest rate

(IN 316.53 / 175) / 0.025 = 23.7 years

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Hi!

I will help you with joy!

Let's take a look at our pattern.

12, 11, 15, 14, _

Here, we subtract 1, then add 4, then subtract 1, then add 4.

Thus, the next number in the pattern will be 18.

12, 11, 15, 14, 18

The next number will be 17, and so on...

I hope it helps!

Ask me if you have any queries.

Misty ~

[tex]\bf{Grace}\sf{ful\rm{Teen[/tex]

Enjoy your day!

Answer:

4c(4- 3g)

question 8

when factorised 16c-12cg is

4c Is common to both 16c and 12cg

so we bring out 4c

4c( 4- 3g)

question 4

from what I can see through the diagram the hypotenuse is 15 and the adjacent is 9 and we're asked to find titre

so we use the relation cos titre= adjacent/hypotenuse

cos titre= 9/15

cos titre=0.6

therefore titre is cos inverse of 0.6 which is 53.13

Answer:

Jatziry, Kwa, Miguel, Gina

Step-by-step explanation:

I changed it into decimal.

0.1, 0.11, 0.125, 0.13

Answer:

The answer is---

x=10

Step-by-step explanation:

(4x+9)+(7x+4)+57=180

11x+13+57=180

11x=110

x=10

Using the binomial distribution, it is found that the probability that exactly 36 of them buy a product is of 0.044.

For each first-time visitor, there are only two possible outcomes, either they buy a product, or they do not. The probability of a first-time visitor buying a product is independent of any other first-time visitor, hence the binomial distribution is used to solve this question.

The formula is:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

The parameters are:

In this problem:

The probability that exactly 36 of them buy a product is P(X = 36), hence:

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 36) = C_{75,36}.(0.55)^{36}.(0.45)^{39} = 0.044[/tex]

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Answer:

we divide both 30 and 56 by the greatest common factor to get the following simplified fraction: 15/28 Therefore, this equation is true:

Answer:

3y

Step-by-step explanation:

Sqrt of 9 = ±3

-±3[tex]\sqrt{y^{2} }[/tex]

the square and sqrt cancel leaving you with -±3y

Since y < 0, the sqrt of 9 should be -3 to cancel out the - sign in front.

Hope that helps

Answer:

x = 3

Step-by-step explanation:

3x+x+x+x-3-2=7+x+x

3x+x+x+x-x-x= 7 + 3 +2

3x+x = 12

4x = 12

x = 3

Answer:

Step-by-step explanation:

Given system:

Solve by elimination, multiply the first equation by 5 and add up equations:

Find y:

Answer:

x = 4

y = 2

Step-by-step explanation:

Rewrite  x + y = 6  to make y the subject:  

⇒ y = 6 - x

Substitute y = 6 - x   into  6x - 5y = 14  and solve for x:

⇒ 6x - 5(6 - x) = 14

⇒ 6x - 30 + 5x = 14

⇒ 11x - 30 = 14

⇒ 11x = 44

⇒ x = 4

Substitute  x = 4  into  x + y = 6  and solve for y:

⇒ 4 + y = 6

⇒ y = 2

Answer:

congruent

Step-by-step explanation:

If two geometrical figures are congruent, then their corresponding sides are congruent.

Answer:

[tex]=5^{\frac{5}{6} }[/tex]

Step-by-step explanation:

[tex](\sqrt{5} )(\sqrt[3]{5} )=(5^{\frac{1}{2} } )(5^{\frac{1}{3} } )=5^{\frac{1}{2}+\frac{1}{3} } =5^{\frac{5}{6} }[/tex]

Hope this helps

Step-by-step explanation:

any root of a number can be written as fraction in the exponent of that number.

so, here, the square root of 5 is 5^1/2.

and the cubic root of 5 is 5^1/3.

what happens, when we multiply the same base number with exponents ?

a^n × a^m = a^(n+m)

and so we get here

5^1/2 × 5^1/3 = 5^(1/2 + 1/3)

how do we add fractions with different denominators ?

we bring them to the same denominator, usually by using the smallest (or least) common multiple of the existing denominators, which is 6 for 2 and 3.

so,

1/2 + 1/3 = 3/6 + 2/6 = 5/6

therefore, the simplified solution is

5^5/6

the first answer option is correct.

Answer:

x=5, y=6

Step-by-step explanation:

Double the second equation to give you:

-2x+2y=2

Now we add the 2 equations to eliminate the y:

3x-2y=3

  +

-2x+2y=2

x=5

Now we substitute this value to give us:

3(5)-2y=3

15-2y=3

-12=-2y

y=6
You can substitute both these values in equation 2 to see if it works:

-x+y=1

-(5)+6=1 ✅

For the given data the monthly charges for Jim’s mobile phone will be £31.31.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Monthly charge of £20,100 for free minutes then 9p per minute for 200 free texts, then 11p per text. During one month, Jim makes 140 minutes of calls and sends 261 texts.

If there are 100 free minutes then it cost 9p per minute as a result, The charge is applied for calls,

40x9=£3.60

If there are 200 free texts, then it cost  11p per text as a result, The charge is applied for text,

61x11=£6.71

The total charge for the text and call is,

£6.71+£3.60=£10.31

If the monthly charge is £20. The total charge for the month,

£20+£10.31=£31.31

Thus, for the given data the monthly charges for Jim’s mobile phone will be £31.31.

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#SPJ5

Answer:

helllo friend

Step-by-step explanation:

i dont know how to do it

Answer:

100.4 km/h (1 dp)

Step-by-step explanation:

If Archie cycled for 12 hours at an average speed of 23 km/h, then the total distance he cycled is:

convert 2 hours 45 mins to decimal:

Therefore, if Jade took 2.75 hours to travel 276 km, her average speed is:

For Archie

Now

for Jade

Avg speed:-

[tex]\\ \tt\Rrightarrow \dfrac{276}{2.75}[/tex]

[tex]\\ \tt\Rrightarrow 100.4km/h[/tex]

Answer:

2x-3

Step-by-step explanation:

For this problem, we need to use the Distributive Property.

Use the Distributive Property:

[tex]-1/4(-8x+12)[/tex]

[tex]2x-3[/tex]

2x-3 is your answer.

Answer:

sin●=opposite/hypotenuse

sin25=2/AB

AB=2/sin25

AB=4.73

Answer:

c. $625. 91

Step-by-step explanation:

The average daily balance totals each day's balance for the billing cycle and divides by the total number of days in the billing cycle. Then, the balance is multiplied by the monthly interest rate to assess the customer's finance charge—dividing the cardholder's APR by 12 calculates the monthly interest rate.

The value of n is 20 from the given indices

Given the exponential function expressed as:

[tex]\[10^n = 10^{3}\sqrt{\dfrac{10^{31}}{0.001}}.\][/tex]

This can be further expressed as:

[tex]\[10^n = 10^{3}\sqrt{\dfrac{10^{31}}{10^{-3}}}.\\\[10^n = 10^{3}\sqrt{10^{34}\\10^n = 10^3\cdot 10^{17}[/tex]

Since the use are equal, add the exponents

[tex]10^n= 10^{3+17}\\10^n=10^{20}\\n=20[/tex]

Hence the value of n is 20 from the given indices

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Answer:

20

Step-by-step explanation: