Find the zero of the function f(x)= 4x+8

Answer:

Step-by-step explanation:

Rocio ha gastado mas. El cubo de Jaime esta mas lleno.

Rocio gasto otro poco mas porque 3 esta mas grande que 2

The price of the chair in the furniture store is $94.

Given that the wholesale price for a chair is $169 and that a certain furniture store marks up the wholesale price by 16%.

The price of the chair in the furniture store will be:

= $169 + (16% × $169)

= $169 + $27.04

= $196

The price is $194.

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Answer:

Fraction: 4 1/4 = 17/4

Decimal: 17/4 = 4.25

Step-by-step explanation:

The value of x is 91/9.

What is the value of X triangle?

The two angles' combined angles are subtracted from 180 degrees. A triangle's total angles are always equal to 180 degrees. When you remove the total of the two angles from 180 degrees, note the difference you discovered. This is what X is worth. The algebraic expression should often take one of the following forms: addition, subtraction, multiplication, or division. Bring the variable to the left and the remaining values to the right to determine the value of x. To determine the outcome, simplify the values.

(9x+1)+ 88

Remove parentheses: (a)=a

9 x+1+88=180

Add the numbers: 1+88=89

9 x+89=180

Move 89 to the right side

9 x=91

Divide both sides by 9

[tex]\frac{9 x}{9}=\frac{91}{9}$$[/tex]

Simplify

[tex]x=\frac{91}{9}$$[/tex]

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Answer:

  x = 5

Step-by-step explanation:

You want the value of x where one of the base angles in an isosceles triangle is marked (9x+1)° and the vertex angle is marked 88°.

Each base angle of an isosceles triangle is the complement of half the vertex angle. This one is ...

  9x +1 = 90 -(88/2)

  9x = 45 . . . . . . . . . . subtract 1

  x = 5 . . . . . . . . . divide by 5

An increasing exponential function is modeled as follows:

A(t) = A(0)(1 + r)^t.

The parameters of the exponential function are given as follows:

She borrows 12,000 at 12% annual percentage rate, hence the initial value and the growth rate are given as follows:

A(0) = 12,000, r = 0.12.

Then the function that describes her loan is given as follows:

A(t) = 12000(1.12)^t.

After six years, the value of the loan is calculated as follows:

A(6) = 12000(1.12)^6 = $23,686.

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The probability that a randomly chosen person from the united states can donate blood to maria is 0.50

considering blood to be of types A,B,AB and O

further all blood groups are equi probable

Probability of blood type A  = probability of blood type B = probability of blood type AB = probability of blood type O = x

Probability of blood type A  + probability of blood type B + probability of blood type AB + probability of blood type O = 1

⇒ 4x = 1

⇒ x = 1/4

Probability that a random person will have blood of type B or O = x+x

= 1/4 + 1/4

= 1/2

= 0.50

Hence we get the required answer.

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The complete table will be;

Minutes              15   30

Cages cleaned   2    4

Any relationship that is always in the same ratio and quantity which vary directly with each other is called the proportional.

Given that;

The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to clean 2 hamster cages.

Now,

Since, The owner of Paradise Pets works hard to keep her store clean. It takes her 15 minutes to clean 2 hamster cages.

Hence, By definition of proportion we get;

Let the time to clean 4 hamster cages = x

So, We get;

⇒ 15 / 2 = x / 4

⇒ 15×4 / 2 = x

⇒ 30 = x

⇒ x = 30

Thus, It take 30 minutes to clean the 4 hamster cages.

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Answer:

Step-by-step explanation:

Sorry if this is different, but based on what I read, here is the answer.

100 x 0.85 = 85

therefor it is 85%, which is significantly more than 80%

Answer:

Step-by-step explanation:

(a)Given:

Principal Amount=$1500

Time = 3 years

Rate of Interest = 8% per annum

Find:

Simple Interest=?

According to the formula of  simple interest

Simple Interest=Principal x Time x Rate of Interest

i.e., SI=PRT

      SI= 1500 X 3 X 8/100

      SI= $360

Therefore, the simple interest for the principal amount of the loan $1500 in 3 years at a rate of 8% per annum will be $360.

(b) According to the formula:

Total Amount= Principal Amount + Simple Interest

i.e., Total Amount = $1500+$360

      Total Amount = $1860

Therefore, the loan amount the borrower will pay the bank is $1860.

The linear equation in one variable is an equation that is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.

It is a symbol standing in for an unknown numerical value in an equation.

The general form of a one variable linear equation is given by

ax+b = 0

where a and b are two integers, and x is the variable

The one-variable linear equation has only one solution.

Hence, the equation in the form ax+b = 0 is known as a one-variable linear equation.

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Number of years since 2003 x=5 years and number of jobs in thousand y=288.

In this method two equation are added or subtracted depending on the sign of variables. After adding or subtracting we create a new equation with one variable. Therefore, we easily get the solution.

while using addition method of algebra, we either add or subtract two equations to obtain a new equation by eliminating one variable. Hence, this method is called elimination method.

Given equation, 7.4x-y= -254

                         12.4x-y = -231

          using addition method

                -5x= -23

                  after solving x=4.6

            x= 5 (nearest whole number)

                     y = 288.04

                y =288

   hence, number of years 5

 number of jobs in thousand =288

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The probability that on exactly one of these three occasions the voter approves of the mayor's work is given as follows:

0.189 = 18.9%.

The mass probability formula, giving the probability of x successes, is of:

[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 given by:

The values of these parameters in the context of this problem are given as follows:

n = 3, p = 0.7.

Then the probability of exactly one success is calculated as follows:

P(X = 1) = 3!/(1!2!) x 0.7 x (0.3)² = 0.189 = 18.9%.

The proportion of voters that approve the mayor's work is of 70%.

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Store B offers better $0.85 per-roll price than store A.

One type of operation is division in mathematics. The phrases or numbers are divided into the same number of components during this operation.

Given, two stores sell identical sandwich rolls in different size packages.

Store A sells a six-pack for $5.28.

To find the unit price,

we take division of 5.28 with number 6.

The unit price of sandwich roll for store A,

= 5.28 / 6

= $0.88

To find the unit price of sandwich roll for store B,

we take division of 3.40 with number 4.

= 3.40 / 4

= $0.85

And $0.85 < $0.88.

Therefore, Store B offers better per-roll price.

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The solution of the expression would be 2(-2n + 3).

Expression 1 :

- 4n + 6

= -[tex]2^{2}[/tex] . n + 2 x 3

= 2 ( - [tex]\frac{2 * n^{2} }{2}[/tex] + [tex]\frac{2 x 3}{2}[/tex] )

= 2 ( - ([tex]2^{2-1}[/tex] * n ) + 3 )

= 2 ( - (2n) + 3 )

= 2 ( - 2n + 3 )

Expression 2 :

- 4n + 6

Rewrite 4 as 2 . 2

Rewrite 6 as 2 . 3

= - 2 . 2n + 3 . 3

= 2 ( - 2n + 3 )

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its A

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The method which the surveyor followed was the method of metes and bounds.

The surveyor followed a property's legal description by starting at a point of beginning, then following the indicated directions between natural and artificial landmarks to arrive back at the point of beginning, using the method called metes and bounds.

Metes and bounds are the natural markers that define the limits or boundaries of a piece of property. Rivers, roads, stakes, and other natural or artificial markers are examples of metes and bounds landmarks.

A system or method of representing land, real property (as opposed to personal property), or real estate is known as metes and bounds. The technique has been used in England for centuries and is still used to define general boundaries there.

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Answer:

42

Step-by-step explanation:

150+102=252

252/6=42

Answer:

The measure of arc FG is 148°

Step-by-step explanation:

Since the measure of an arc is equal to the measure of the central angle that subtends it, and the measure of central angle CG is 148°, the measure of arc FG is 148°. This is because the arc FG is subtended by the central angle CG.

Answer: x = 6, y = 10; as a point, that would be (6, 10).

Step-by-step explanation:

To do it graphically, you would just graph the equations 25x + 15y = 300 and x + y = 16. Then, you would find the intersecting point.

To do this, you should convert to point-slope format.

15y = -25x + 300 and x + y = 16

1) y = -5/3x + 20 and 2) y = -x + 16

Now, for equation 1, you start at the y-intercept (0, 20) and for every increase of 1 on the x-axis, you decrease -5/3 on the y-axis. To graph this in the software, you click on the point (0, 20) and on another point on the line y = -5/3x + 20. (Any will do, but it should be an integer. (3, 15) works.)

Do the same for equation 2. Start at the y-intercept (0, 16) and decrease 1 for every increase of 1 on the x-axis.

Look for the point(s) where the lines intercept. It is (6, 10). If you have the time, you can verify this algebraically.

The probability that the next person who leaves the lecture will have gray hair is 45/163 or 0.2760.

What is Probability?

Probability is the ratio of favorable outcomes to all other potential outcomes of an event. The number of positive results for an experiment with 'n' outcomes can be represented by the symbol x. The probability of an event can be calculated using the following formula.

Probability(Event) = Positive Results/Total Results = x/n

To calculate the likelihood that the next person to leave the lecture will have grey hair, one must first make an assumption about the distribution of hair colors among those in attendance. The data of the distribution of hair colors of people in the lecture are assumed below:

Blonde  Red  Brown  Black   Gray  Total

24           32     29        33        45     163

The Probability of the number of people with grey hair to the total number of students in the class is used to calculate the likelihood that the next person to leave the lecture will have grey hair.

P(Gray) =45÷163 =0.2760

So therefore, the probability is 45/163 or 0.2760.

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Answer:

Step-by-step explanation:

You want equations of lines parallel and perpendicular to y = 2x -1 through the point (-7, 2).

The given equation is written in slope-intercept form:

  y = mx + b

where m = 2, and b = -1.

The slope of the line is m, the x-coefficient. For the given line, the slope is 2.

A parallel line will have the same slope: 2.

A perpendicular line will have the opposite reciprocal slope: -1/2.

When you have a point and slope, it is useful to use the point-slope form of the equation for a line:

  y -k = m(x -h) . . . . . . line with slope m through point (h, k)

For both of the desired lines, the point is (h, k) = (-7, 2). Using this point and the above slopes, we have ...

No. Tom is not correct.

If the money were split equally everyone would've gotten £200.

But, if everyone went by the mentioned distribution, then,

Rachel would get = 2/5 x 600 = £280

Remainder money = 600 - 280 = £320

Samina would get = 1/4 x 320 = £80

Tom would get the remaining money = 600 - (280 + 80)

                                                              = 600 - 360

                                                              =  £240      

Since, £240 > £200, Tom would be incorrect in saying he would have had more money if he had split the money equally.

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The domain is set of all real numbers and the range is y ≥ -4

From the question, we have the following parameters that can be used in our computation:

The equation is given as

g(x) = |x + 4|

The domain

The above equation is an absolute value equation

An absolute value equation can take any value as its input

This means that the domain is the set of all real numbers

When represented as an interval, we have

The domain is (-∝, ∝)

Also, we have

-∝ < x < ∝

Hence, the domain is the set of all real numbers

The range

Here, we have

g(x) = |x + 4|

The above equation is an absolute value function

An absolute value function represented as

y = a|x - h| + k

Where

Vertex = (h, k)

So, we have

Vertex = (-4, 0)

Remove the x value

y = -4

Because the leading coefficient is positive, then the vertex is a minimum

i.e.

[-4, ∝)

Another representation is

y ≥ -4

So, the range is y ≥ -4

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At 95% confidence interval for a sample of size 100 where p = 0.15 , the margin of error is 0.0700  .

In the question ,

it is given that ,

the sample size is = 100 and

the value of p is ⇒ 0.15  .

we have to find the "margin of error"(E) for the 95% confidence interval ,

we know that the z value for the 95% confidence interval is = 1.96

the formula for margin of error is :

E = Z×√p(1-p)/n .

Substituting the values of z , p and n ,

we get ,

E = 1.96×√0.15(1-0.15)/100

= 1.96×√0.15(0.85)/100

= 1.96×√0.1275/100

= 1.96×√0.001275

= 1.96×0.03570

Simplifying further ,

we get ,

= 0.06995899

rounding to the four decimal places ,

≈ 0.0700

Therefore , the required margin of error is 0.0700  .

The given question is incomplete , the complete question is

At 95% confidence,  for a sample of size 100 where p = 0.15 . What is the Margin Of Error ? if required, round your answer to four decimal places.

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The polynomial expression are P(x) = (x - 1)(x + 1)[(x - 3)² + 1] and P(x) = x⁴ - 6x³ + 9x² + 6x - 10

Factored form

The given parameters are

There are complex numbers in the above zeros

This means that, the other zero is

Zeros = 3 + i

The equation of the polynomial is then calculated as

P(x) = Leading coefficient * (x - zero)^multiplicity

So, we have

P(x) = (x - 1) * (x + 1) * (x - (3 + i)) * (x - (3 - i))

This gives

P(x) = (x - 1) * (x + 1) * (x - 3 - i) * (x - 3 + i)

Evaluate the products

P(x) = (x - 1) * (x + 1) * [(x - 3)² - (i)²]

So, we have

P(x) = (x - 1) * (x + 1) * [(x - 3)² + 1]

P(x) = (x - 1)(x + 1)[(x - 3)² + 1]

The standard form

In (a), we have

P(x) = (x - 1) * (x + 1) * [(x - 3)² + 1]

Expand

P(x) = (x² - 1) * (x² - 6x + 9 + 1)

So, we have

P(x) = (x² - 1) * (x² - 6x + 10)

Remove the brackets

P(x) = x⁴ - 6x³ + 10x² - x² + 6x - 10

Evaluate the like terms

P(x) = x⁴ - 6x³ + 9x² + 6x - 10

Hence, the equation is P(x) = x⁴ - 6x³ + 9x² + 6x - 10

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Answer:

See below

Step-by-step explanation:

If the figures were similar the corresponding sides would be proportional.

[tex]\frac{10}{12}[/tex] = [tex]\frac{8}{10}[/tex]  This statement would be true if the sides were proportional, but it is not true.  Cross multiply.

10(10) ≠ (8)(12)

100≠96

Answer:

Girls: 7 points each

Boys: 11 points each

Step-by-step explanation: