Factorise 64(x²-9x+18)=4x²​

The solution of the system of equations is y = 5 and x = 3, and the difference x - y gives:

x - y = -2

Here we have the system of equations:

5x + 3y = 30

-5x - 2y = -25

If we add the two equations we will get:

(5x + 3y) + (-5x - 2y) = 30 + (-25)

y = 5

So just by doing that we found the value of the variable y.

To find the value of x, we can replace the known value of y on one of the equations, doing that we will get:

5x + 3y = 30

5x + 3*5 = 30

5x + 15 = 30

5x = 30 - 15 = 15

x = 15/5 = 3

x = 3

Then the difference x - y gives:

x - y = 3 - 5 = -2

Learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Answer:

f(-11) = -16

Step-by-step explanation:

We are given a function

f(x) = x-5

Substitute the value of x = -11 into the function

f(-11) = -11-5

        = -16

Answer:

-16

Step-by-step explanation:

Given that,

f ( x ) = x - 5

To find the value of f ( -11 ), you have to replace x with -11 & solve it.

Let us solve it now.

f ( -11 ) = x - 5

f ( -11 ) = -11 - 5

f ( -11 ) = -16

The angles BAX and CDX are equal and the length of CX is 8.2 cm.

What are angles?

An angle is a figure in plane geometry that is created by two rays or lines that have a shared endpoint. The Latin word "angulus," which meaning "corner," is the source of the English term "angle." The shared terminus of two rays is known as the vertex, and the two rays are referred to as sides of an angle.

Given that, the points A, B, C, D lie on a circle and AC and BD intersect at X.

The angles BAX and CDX, they are subtended by the same arc AD, hence, according to the property of angles subtended by the same arc, they are equal.

Thus ∠BAX = ∠CDX

Since, corresponding sides opposite to the equal angles are proportional.

CX/BX = CD/AB

⇒ CX/3.84 = 9.40/4.40

⇒ CX = (9.40*3.84)/4.40

⇒ CX = 8.2

Thus, length of CX is 8.2cm

The angles BAX and CDX are equal and the length of CX is 8.2 cm

To know more about angles visit:

brainly.com/question/28451077

#SPJ1

Answer: -9/y

Step-by-step explanation: quotient is a fancy word for divide

-9/y

Answer: they must have used up around 40% of the money if I’m wrong I’m so sorry

Step-by-step explanation: Good luck!

The population 2 hours before that is 2691 if the population of a colony of bacteria increases by 4% of what the population was at the beginning of the hour.

A population is a distinct group of individuals that can be distinguished for the purposes of data collection and analysis by at least one feature. Populations are used in statistics and other branches of mathematics. Data is typically collected from a sample while learning about a large population.

Between sample size and population, the population will always be larger in number. The entire group of individuals under study is referred to as the population. 250 persons make up the population in the illustration, which is the same size as the high school under consideration.

We have P₀=2488

Rate of increase=R=4%

Time=2 hours

Bacteria count =P

P=P₀[tex](1+(R/100)^{T}[/tex]

=2488×(1+(4/100))²

=2488×1.0816

=2691.0208≈2691

Therefore, the population 2 hours before that is 2691.

To know more about population, visit:

https://brainly.com/question/24786731

#SPJ1

Each pound of fish and chicken will cost $3.75 and $2.25 respectively

A word problem is a mathematical exercise where significant background information on the problem is presented in ordinary language rather than in mathematical notation

Given that:

1. A customer pays a total of $11.10 for 1.6 pounds of chicken

and 2 pounds of fish.

2. Another customer pays a total of $12.15 for 2.4 pounds of

chicken and 1.8 pounds of fish

Let C and F represent the cost of one pound of chicken and fish respectively

Statement 1:

1.6C + 2F = 11.10  ---- (1)

Statement 2:

2.4C + 1.8F = 12.15  ---- (2)

we have simultaneous equations now, let's solve using the elimination method:

1.6C + 2F = 11.10      ---- (1)

2.4C + 1.8F = 12.15  ---- (2)

2.4 × (1.6C + 2F = 11.10) =     3.84C + 4.8F = 26.64

1.6 × (2.4C + 1.8F = 12.15) =  3.84C + 2.88F = 19.44

                                            ..........................................

                                                           1.92F  = 7.2

Thus, 1.92F  = 7.2

F = 7.2/1.92 = $3.75

Put F = $3.75 into (1):

1.6C + 2F = 11.10

1.6C + 2(3.75) = 11.10

1.6C + 7.5 = 11.10

1.6C = 11.10 - 7.5

1.6C = 3.6

C = 3.6/1.6 = $2.25

Learn more about word problems on:

brainly.com/question/29216007

#SPJ1

The number of classes per month that had same total amount paid was 21

The total amount is $115

let the number of group class be represented by x

first membership plan, Jen can pay $52 per month, plus $3 for each group class she attends

= $52 + $3x

second membership plan, Jen can pay $31 per month plus $4 per class

= $31 + $4x

when the total amount are equal

$52 + $3x = $31 + $4x

52 - 31 = 4x - 3x

21 = x

The total amount

= $52 + $3 * 21

= $115

Learn more about linear functions at:

https://brainly.com/question/29213643

#SPJ1

Answer:

(1,2) - function

(3, -4) - function

(-3, -2) - function

(0, 0) - function

(-4,5) - function

(0, 4) - not a function

Answer:

6 (3x + 1)(x - 2) = 3x^2 - 2x + x - 2 = 3x^2 - x - 2

7 (x − 3)(2x - 1) = 2x^2 - x - 3x + 3 = 2x^2 - 4x + 3

8 (x-3y) (2x - y) = 2x^2 - yx - 3xy + 3y^2 = 2x^2 - 4xy + 3y^2

9 (2x - y)(x-2y) = x^2 - 3xy + 2y^2 = x^2 - 3xy + 2y^2

The 25 teams can there be at most.

What is the LCM?

Least Common Multiple(LCM) is a method to find the smallest common multiple between any two or more numbers. A common multiple is a number which is a multiple of two or more numbers.

We have,

75 fifth graders

125 fourth graders.

They are going to be grouped in teams for a field day with the same number of students on each team.

the same number of teams if there must also be the same number of fifth graders on each team.

take the LCM of the 75  & 125 Which is the 25.

3 fifth graders each

5 fourth graders each

Hence, the 25 teams can there be at most.

To learn more about the LCM visit,

https://brainly.com/question/16054958

#SPJ1

Answer:

  3³

Step-by-step explanation:

You want an expression using an exponent to represent the number 3·3·3.

As you know, a coefficient is used to represent repeated addition:

  a + a + a = 3a

The coefficient 3 in the above expression signifies that 'a' appears in the sum 3 times.

Likewise, repeated multiplication can be represented using a specific notation. An exponent signifies the number of times a factor appears in a product:

  a · a · a = a³ . . . . . 'a' is a factor 3 times

You have a sequence of numbers of telephone calls:

  3 the first day

  3·3 the second day

  3·3·3 the third day

The calls on the third day can be represented using an exponent:

  3³

__

Additional comment

When superscript formatting is not available for the exponent, it is signified by a caret (^). The same number is 3^3 when written in plain text.

As you might expect, a plain text exponent must be enclosed in parentheses if it is other than a single letter or number.

Answer:The law of sines specifies how many sides there are in a triangle and how their individual sine angles are equal. The sine law, sine rule, and sine formula are additional names for the sine law.

Step-by-step explanation:

Answer: 64

Step-by-step explanation:

There are 16 ounces in a pound and there are 4 pounds and 4x 16 is 64

Answer:

64 oz.

Step-by-step explanation:

16 oz. = 1 lb.

16 oz. x 4 lbs. = 64 oz.

Answer:

Step-by-step explanation:

28

Answer:

30.9 cubic inches

Step-by-step explanation:

This is a volume question. You multiply 2 3/4, 2 1/4, and 5 inches all together.

First you turn it into an improper fraction and multiply. 11/4*9/4 = 99/16

Then multiply this by 5: 99/16 * 5 = 30.9375

Round to nearest tenth: 30.9

When f(x)=x4 and g(x)=2x+4 at x=2 for f(x) and x=-2 for g, the value of g(f(2)) is 8 (x).

A mathematical phrase, rule, or law that establishes the link between an independent variable and a dependent variable (the dependent variable). A relation between a collection of inputs and outputs is known as a function. A function is, to put it simply, a relationship between inputs in which each input is connected to precisely one output. Four broad categories can be used to classify different types of functions. dependent upon element Function is a one-to-one relationship, a many-to-one relationship, onto function, one-to-one and into function.

Here,

f(x)=x-4

g(x)=-2x+4

f(2)=2-4

=-2

g(-2)=-2*-2+4

g(-2)=8

The value of g(f(2)) is 8 for f(x)=x−4 and g(x)=−2x+4 at x=2 for f(x) and x=-2 for g(x).

To know more about function,

https://brainly.com/question/28193995

#SPJ1

The classifications of the densities of these objects are given as follows:

The density of an object is calculated as the division of the object's mass by the object's volume, according to the equation presented as follows:

Density = mass/volume.

The standard unit of the mass of an object is in grams per cubic centimeters, that is, g/cm³.

Most of the known substances on earth also have known densities, and two examples are cooking oil and water, for which the densities are given as follows:

1 > 0.6, hence we have that:

More can be learned about the density of an object at https://brainly.com/question/12851807

#SPJ1

Answer: [tex]y+5=\frac{3}{2}(x-2)[/tex]

Step-by-step explanation:

[tex]2y=3x+10 \implies y=\frac{3}{2}x+5[/tex]

Parallel lines have the same slope, so the slope of the line we need to find is 3/2.

Substituting into point-slope form, the equation is [tex]y+5=\frac{3}{2}(x-2)[/tex].

Answer:

The value of the car at the end of 3 years will be £5,062.50.

Answer:

y = 4x – 23

Step-by-step explanation:

(7,5) and m= 4

x1 = 7, y1 = 5

using the one point form formula

y – y1 = m(x – x1)

y – 5 = 4(x – 7)

y – 5 = 4x – 28

y = 4x – 28 + 5

y = 4x – 23

i hope this helps

pls rate as brainliest answer

Answer: True

Step-by-step explanation: Take a number on the list minus the previous one, and it shows a constant, then it is an arithmetic sequence.

Answer:

Below

Step-by-step explanation:

Value = 33000 ( .88)^t        each year, t , the value is only 88% ( or in decimal:  .88) of the prior year  ( 12 % decrease leaves 88% )

The percent of the increase in Paulina’s earnings is 15.55%.

The percentage is defined as a ratio expressed as a fraction of 100.

Last month, she earned $520.60. This month, she works overtime and earns $601.30.

The percent of increase = ($601.30 - $520.60)/520.60 x 100%

The percent of increase = (80.7)/520.60 x 100%

The percent of increase = 0.15501 x 100%

Apply the multiplication operation,

The percent of increase = 15.55 %

Thus, the percentage of the increase in Paulina’s earnings is 15.55%.

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ1

Answer:

Step-by-step explanation:

By using the concept of function, it can be seen that the given figure does not represents a function.

What is a function?

A function from A to B is a rule that assigns to each element of A a unique element of B. A is called the domain of the function and B is called the codomain of the function.

There are different operations on functions like addition, subtraction, multiplication, division and composition of functions.

Here the values on the x axis represents the domain and the values on the y axis represents the Range.

From the figure it can be seen that

For x = 2, there are three points on the y axis.

So the point x = 2 maps to different points on the y axis

So this is not a function

To learn more about function, refer to the link:

https://brainly.com/question/22340031

#SPJ1

Answer:

2 minutes

Step-by-step explanation:

8 : 4 = x : 1

x = 8/4

x = 2

Step-by-step explanation: To find the time it takes Elijah to run 1 lap, we need to divide the time it takes him to run 4 laps by the number of laps he runs in that time. Since it takes Elijah 8 minutes to run 4 laps, the time it takes him to run 1 lap is 8 minutes / 4 laps = ${2}$ minutes per lap.

This calculation illustrates the concept of unit rate, which is the rate at which a quantity changes over a given unit of time or distance. In this case, the unit rate is the time it takes Elijah to run 1 lap, which is 2 minutes per lap. This unit rate allows us to compare the time it takes Elijah to run different distances, and to determine how long it would take him to run a given distance at the same pace.

50 tickets were thus sold at the door. As a result, there were 175 advance sales of tickets and 50 at the door.

A linear equation has the algebraic form y=mx+b. where m is the slope and b is the y-intercept, consisting of a first-order (linear) term and a constant. If x and y are variables, the above is sometimes called a "two-variable linear equation".

Tickets for a high school dance were provided.

Purchases made before the dance cost $4.00 apiece.

If purchased at the door, they would cost $5 apiece.

225 tickets were sold, bringing in $950.

It's time to locate the advance-purchase and door-purchase tickets.

Let the quantity of advance tickets sold equal x.

And the quantity of tickets sold at the door will be equal to y.

hence, the overall quantity of tickets sold

[tex]x+y = 225\\y = 225 - x[/tex]......(1)

Now,

4x + 5y = 950

[tex]4x + 5y = 950\\4x + 5(225-x) = 950\\4x + 1125 - 5x = 950\\-x = -175\\x= 175\\y=50[/tex]

50 tickets were thus sold at the door.

As a result, there were 175 advance sales of tickets and 50 at the door.

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ1

The linear equation that is modeled by the table is:

y = 2x + 1

A general linear equation is written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

If the line passes through two points (x1, y1) and (x2, y2), then the slope is:

a = (y2 - y1)/(x2 - x1)

Here we can use the first two points on the table (-3, -5) and (-1, -1), we will get the slope:

a = (-1 + 5)/(-1 + 3)

a = 4/2 = 2

Then the line is something like:

y = 2x + b

To find the value of b we can use one of the points (-3, -5), replacing these values we will get:

-5 = 2*-3 + b

-5 = -6 + b

-5 + 6 = b

1 = b

Then the linear equation is:

y = 2x + 1

Learn more about linear equations:

https://brainly.com/question/1884491

#SPJ1

Answer:

  n = -104

Step-by-step explanation:

You want to identify a solution to the inequality -5 +n/13 < -12.

Adding 5 we get ...

  n/13 < -7

Multiplying by 13 gives ...

  n < -91

Of the choices available, only -104 is less than -91.

  n = -104

<95141404393>