please help meee


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Some of the terms of an equation that has missing terms will be eliminated.

100 is the missing term that transforms (x² - 20) into a perfect square.

What is a  perfect square?

A perfect square is a number that can be written as the product of an integer multiplied by itself or as the integer's second exponent. For instance, the number 25, which is the product of the integer 5 multiplied by itself, is a perfect square because 5 x 5 = 25.

The missing term will be calculated in the next step.

Use k to represent the x-coefficient.

We thus have:

k = -20

Divide both sides by 2

k/2 = - 10

squaring both the sides,

(k/2)² = (- 10)²

=> (k/2)² = 100

This means that the term that is lacking is 100.

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Question:

What is the missing constant term in the perfect square that starts with x^2 -20x?

The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83.

Compound interest is applicable when there will be a change in principal amount after the given time period.

For example, if you give anyone $500 at the rate of 10% annually then $500 is your principle amount but after 1 year it will convert into $550.

As per the given,

Principle amount P = $4080

Rate of interest r = 5.7% = 0.057

Time period t = 4 years.

The formula for total value is given as,

V = P[tex]e^{rt}[/tex]

V = 4080[tex]e^{(0.057\times4)}[/tex]

V = $5124.83

Hence "The compound interest comes into the picture when interest adds on the principal amount. The total value of $4080 after 4 years with a rate of interest of 5.7% is $4124.83".

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The given question is incomplete complete question follows;

Answer:0.4

Step-by-step explanation:

just do y2-y1 over x2-x1 which gives 5/14

and convert that to a decimal which is .3571 and round it to get .4

Answer:

[tex]x -4 \leq -1\\x -4 + 4 \leq -1 + 4\\x\leq -1 +4\\x\leq +3[/tex]

Answer:

x ≤ 3

Step-by-step explanation:

This is the answer because I say it is

A variable is a quantity that could change depending on the circumstances of an experiment or mathematical problem. Typically, a variable is denoted by a single letter. The general symbols for variables most frequently used are the letters x, y, and z.

A variable in mathematics is an alphabet or phrase that stands in for an unknowable amount, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are utilised. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.

A symbol (typically a letter) used in algebra to represent an unknowable numerical value in an equation. X and Y (real-number unknowns), z (complex-number unknowns), t (time), r (radius), and s are examples of frequently used variables (arc length).

The price to produce x yearbooks will be 15x.

Additionally, software has a fixed cost of $800.

So the total price would be:

y = 800 + 15x

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Given:

Taking the first equation:

Taking the second equation:

If 4m=5n,

If 4m=-5n,

Range of n in terms of p:

Answer:

11/8 or 1.375

Step-by-step explanation:

2 3/4 => 11/4

1/2 x 11/4 = 11/8

Answer: n + 3

Step-by-step explanation:

Solution

n+3

Evaluate

(n 2 +n−6)

(n−2)

​Remove the parentheses

n−2n 2 +n−6

​Factor the expression

n−2

(n+3)(n−2)

Answer:

Sarah earned $10 per hour for babysitting

Step-by-step explanation:

The interpretations are

The slope

From the question, the slope is given as

Slope = 2 1/4

From the question, we have

y = Amount of money

x =Number of hot dogs

This means that the amount of money per 1 hot dog is $ 2 1/4

The y​-intercept

From the question, the y​-intercept is given as

y​-intercept = 10

From the question, we have

y = Amount of money

x =Number of hot dogs

This means that the initial amount of money is $10

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Given the equation of a line as shown below :

To determine the slope and the y - intercept of the line, compare the equation with straight line equation

After comparing the equation of a line

Therefore slope = -3 and y - intercept = -2

Answer:

343.75

Step-by-step explanation:

dividing the number of miles by the number days to get fewest equal number miles per each day

The value of the variable k in the equation given as 2k + 6k = h is k = h/8

From the question, the equation is given as

2k + 6k = h

Evaluate the like terms

i.e. We add 2k and 6k together.

This gives 8k

So, we have the following equation

8k = h

Divide both sides of the equation by 87

So, we have the following equation

8k/8 = h/8

Evaluate the quotient in the equation

k = h/8

The equation cannot be further simplified

Hence, the solution for k is k = h/8

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The formula predicts that the triangle's perimeter will be 12f+9g+3.

What is a triangle?

The sides of a triangle are (10f +6) centimetres, (2f-4) centimetres, and (9g+1) centimetres long, respectively.

The expression for the triangle's perimeter will be

P = (10f+6) + (2f- 4) + (9g+1)

P = 12f+9g+3

The formula predicts that the triangle's perimeter will be 12f+9g+3.

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Step-by-step explanation:

l = number of Levi's cards

j = number of James' cards

l = 4j

l + j = 600

whey we use the first identify in the equation we get

4j + j = 600

5j = 600

j = 120

l = 4j = 4×120 = 480

Levi has 480 cards, James has 120 cards.

Answer:

A) 1060 (corrected to the nearest 10) B) 1700

Step-by-step explanation:

A) the answer is 1058 which taken to the nearest 10 is 1060

B) the answer is 1700 which does not need to be corrected

Answer: 14a + 1

Step-by-step explanation:

( 7a x 3 - 2a - 2 ) + ( -5a + 3 )

( 21a - 2a - 2 ) + ( -5a + 3 )

21a - 2a - 2 - 5a + 3

14a + 1

Answer:the same as sid length

Step-by-step explanation:all sides are the same

Answer:

-x+6

Step-by-step explanation:

the slope is negative because the line is moving down. the y intercept is positive 6 because the line goes through the line (0,6)

The skid distance value that will be used when calculating the skid speed formula is 58.5 ft.

What is average of values and how is it defined?
The ratio of the sum of the values in a particular set to all the values in the set is the mean value, which is the definition of the average. In mathematics, the central value of a set of data is expressed as the average of a list of data. It is defined mathematically as the ratio of the total number of data points to the number of units in the list. In terms of statistics, the term "mean" also refers to the average of a certain set of numerical data. As a result, the following is the mathematic average formula:
Average = Sum of values/Set of values = (x₁ + x₂ + ... + xₙ)/n

Given, the first skid distance calculated, in feet = x₁ = 55
The second skid distance calculated, in feet = x₂ = 55
The third skid distance calculated, in feet = x₃ = 62
The fourth skid distance calculated, in feet = x₄ = 62
Therefore using the formula for average mentioned in the literature at n=4, we have,
Average skid distance = (55 + 55 + 62 + 62)/4 = 234/4 = 58.5 ft.
Thus, the skid distance value that will be used when calculating the skid speed formula is 58.5 ft.

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Question 9.

In the construction of a frequency distribution, it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40.

Let's determine if the above statement is true or false.

A frequency distribution shows a representation of the num ber of observations within a given interval either in tabular or grahical format.

In the construction of a frequency distribution, the class limits should be made very clear in order for each observation to fall into only one class.

It is not a good idea to have ovelaping class limits like 20-30, 30-40. This is because overlaping limits such as this would make it dificult to determine the class where 30 is located.

Therefore, this statement ''it is NOT a good idea to have overlaping class limits such as 10-20, 20-30, 30-40'' is TRUE.

ANSWER:

True.

y=x+23 is the linear equation that gives the rule for the given table .

An equation is said to be linear if the maximum power of the variable is consistently 1. Another name for it is a one-degree equation. A linear equation with one variable has the conventional form Ax + B = 0. In this case, the variables x and A are variables, while B is a constant. A linear equation with two variables has the conventional form Ax + By = C. Here, the variables x and y, the coefficients A and B, and the constant C are all present.

The following is how the linear equation can be expressed in a slope-intercept form:

y = mx + b

where

slope = m

y-intercept = b

Using the table we get two points:

(1,24) and (2,25)

slope= y2-y1/x2-x1

= 25-24/2-1

=1

Now we have to calculate B using the point (1,24) and putting values in equation y=mx+b

24=1+b

b=23

So the equation is :

y=x+23

Therefore the linear equation for the given set of data table is  y=x+23.

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The value of CX as asked will be √29 when two points are given as (6,-4) and (1,-2) by using the distance formula √((x2-x1)²+(y2-y1)²).

In geometry, a point is a place. It is completely empty, meaning it has no width, length, or depth. A dot indicates a point. A line is described as a collection of points that extends in both directions indefinitely. It has a single length dimension.

Distance is a measurement of how far apart two objects or points are, either numerically or occasionally qualitatively. Distance can refer to a physical length in physics or to an estimate based on other factors in common usage.

Here,

distance formula =√((x2-x1)²+(y2-y1)²)

CX=√((x2-x1)²+(y2-y1)²)

=√((1-6)²+(-2+4)²)

=√(25+4)

=√29

When two points are given as (6,-4) and (1,-2) by the distance formula √((x2-x1)²+(y2-y1)²), the value of CX as asked will be 29.

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The solution for x of the given equation ax + b = 0 is x = -b/a.

The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.

A formula known as an equation uses the same sign to denote the equality of two expressions.

As per the given equation,

ax + b = 0

Add -b both side

ax + b - b = 0 - b

ax = -b

Divide by both side

ax/a = -b/a

x = -b/a

Hence "The solution for x of the given equation ax + b = 0 is x = -b/a".

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Answer:

x = 20°

I hope it helps!

Step-by-step explanation:

80+a=180

a=100

a=2x+3x

100=5x

x=20

The constant of proportionality in the given representation is 3 .

The proportionality constant is the ratio that connects two given numbers in a connection that is thought to be proportional. The proportionate constant is also known as constant ratio,  unit rate, variable of variation, and even rate of change.

The proportionality constant is calculated by a proportionality constant illustration.

Finding the proportionality constant begins with identifying the x and y elements. To figure out the weight to stick ratio, x will stand for size and Y for the number of butter sticks. We use the equations k = y/ x to calculate the proportionality constant.

Given the value of x is 4 and the value of y is 12

therefore using the equation we get

k= 12 / 4 = 3 .

Therefore the complete table will be

length (x)       (y)

4                     12

50                  150

88.49             265.47

Hence the proportionality constant is 3 .

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Answer:

7.08661

Step-by-step explanation:

The quadratic function has an equation of f(x) = -2x² - 4x - 3

From the question, the ordered pairs are given as

(−1,−1), (2,−19), and (3,−33).

A quadratic function is represented as

f(x) = ax²+ bx + c

Using the point (-1, -1), we have

a(-1)²+ b(-1) + c = -1

So, we have

a - b + c = -1

Using the point (2, -19), we have

a(2)²+ b(2) + c = -19

So, we have

4a + 2b + c = -19

Using the point (3, -33), we have

a(3)²+ b(3) + c = -33

So, we have

9a + 3b + c = -33

So, we have

a - b + c = -1

4a + 2b + c = -19

9a + 3b + c = -33

Using a graphing tool, we have

a = -2, b = -4 and c = -3

Substitute a = -2, b = -4 and c = -3 in f(x) = ax²+ bx + c

So, we have

f(x) = -2x² - 4x - 3

Hence, the equation is f(x) = -2x² - 4x - 3

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Answer:

(10, 1) is a solution to this equation.

Answer: your answer will be (10, 1)

Step-by-step explanation:

i just watch a mathematics video