How many solutions does the equation 4x-7(x-2)=3x+2 have?

With the slope and one point of the line, Using the formula of equation of line with slope and a point, The answer is [tex](y-y_1)= m (x-x_1)[/tex] .

A mathematical expression with an equals sign is referred to as an equation. Algebra is widely used in equations. When performing calculations but unsure of the precise amount, algebra is used. A formula that expresses the connection between two expressions on each side of a sign. Typically, it has a single variable and an equal sign. Like this: 2x - 4 Equals 2.

In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction. Divide the difference in elevation between two points by the distance between them to find the percent slope, then multiply the result by 100. The term "rise" refers to the difference in elevation between two sites. The run is the separation between the points. Percent slope is therefore equal to (rise / run) x 100.

points= ([tex]x_1 , y_ 1[/tex])

slope = m

Required equation,

[tex](y-y_1)= m (x-x_1)[/tex]

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Median is the only average to be used while dealing with qualitative data which cannot be measured quantitatively but still can be arranged in ascending or descending order of magnitude,

e.g., to find the average intelligence among a group of people.

It is to be used for determining the typical value in problems concerning wages, distribution of wealth, etc.

It helps us to identify if the distribution is symmetric or not.

The mean and median of a symmetric distribution are close together.

If the distribution is exactly symmetric, the mean and median are exactly the same.

In a skewed distribution, the mean is farther out in the long tail than the median.

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The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.

The area is the region defined by an object's form. The area of a form is the space covered by a figure or any two-dimensional geometric shape in a plane. The quantity area indicates the extent of a region on a planar or curved surface. Surface area refers to the area of an open surface or the border of a three-dimensional object, whereas area of a plane region or plane area refers to the area of a form or planar lamina.

Here,

V=b*h

b=base area of prism

h=height of prism

The volume of a prism is calculated as V=Bh, where B is the base area and h is the height.

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The percent that the average score on the test increased during the two months is 12.5%.

It should be noted that mean simply means the average of a set of numbers that are given. In this case, the average test score of RSM students in September increased by 10%. In October it increased by another 15%..

The average of the increase will be:

= (10% + 15%) / 2

= 25% / 2

= 12.5%

The average is 12.5%.

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The histograms is shown below.

One common graphing tool is the histogram. It is employed to present interval-scaled summaries of discrete or continuous data. It is frequently used to conveniently depict the main characteristics of the data distribution.

Given:

The standard deviation for 4 we have the highest value and range for graph C have highest standard deviation.

and, the standard deviation for 1 have lowest deviation and range for graph A have lowest standard deviation.

and, for row 2 the second histogram is the answer and for row 4 the fourth histogram is the answer.

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Therefore , squaring a number and taking the square root of a number  is an opposite operation as we can see in the following explanation.

A number's square root, which is the result of multiplication by itself, yields the original number. Some examples of exponents are squares and square roots. Imagine the number twenty five. Additionally, this can be expressed as expression of  5x5.

Here,

In order to square an integer, you must multiply it by itself.

The opposite of squaring a number is the act of getting the square root.

Calculating the side length of a square whose area is a certain number can be compared to finding the square root of that number.

For example: √25=  √5*5 = 5

where as square of 5 : 5*5 = 25

Therefore , squaring a number and taking the square root of a number  is an opposite operation as we can see in the following explanation.

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The notation f (x) = y means that the functional value at the point x is y.

In the notation f (x) = y, we understand that the value x is to be plugged in the function given to us (which is f here) which on solving gives y as the answer or solution 'y' of that function at a point x.

For example, let us consider the function f (x) = 2x + 3 = y

Then if we find f (2), then 2 will be plugged in the function 2x +3 such that

f (2) = 2(2) + 3 = 7,

which means that 7 is the functional value, 'y' at the point 2 which is considered as x.

The question is incomplete, the complete question is f (x) = y.

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Answer:

16

Step-by-step explanation:

Since x is negative, lets instead thing of the problem as

y + (-x)

and find the bounds of -x to be

[tex] - 2 < = - x < = 4[/tex]

now, the max value of y is 12 and the max value of -x is 4

12 + 4 = 16

You can locate your SSS loan number scrawled on the upper right corner of your E-1 form if you applied for one in 2015 or earlier and still have a copy of it.

The personal information of an SSS member is contained on the SSS E1 form (also known as the E-1 form). Prior to receiving a social security number, a person must submit the E1 form to apply for membership in the Social Security System.

The applicant must complete the form with his personal data (such as name, date of birth, and home address), a list of dependents or beneficiaries, and, if self-employed, his profession or company.

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press menu and select option,press 2 to select to a polynomial degree of 2,select the number that matches the inequality u are about to solve and lastly input the values of coefficient of x into the expression and press equal to sign on the calculator

A relationship between two expressions or values that are not equal to each other is called 'inequality. '

Inequality can be greater than >, less than < , great than or equal to ≥ , less than or equal to ≤.

like other equations, inequality can be solved on a calculator. This process shows how inequality can be solved on a calculator. For example if 3x²+4x+5≥0 is to be solved on a calculator, the following steps are to be taken

Step 1 : press menu and select option B( inequality option)

Step2 : press 2 to select to a polynomial degree of 2

step 3 : select the number that matches the inequality u are about to solve

step 4: input the values of coefficient of x into the expression

step 5 : press the equal to sign on the calculator.

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Experimental probability of correctly answering both questions by guessing = 1/4 .

Tail (T) = True

Head (H) = False

Number of possible outcome = 2

Head (H) or Tail (T).

Probability = number of occurrence/number of possible outcome.

Since we can only have one T or F in a toss.

number of occurrence = 1

Probability of answering first question correctly = 1/2

Probability of answering second question correctly = 1/2

Probability of answering both questions correctly = Probability of answering first question correctly * Probability of answering second question correctly

Probability of answering both questions correctly = 1/2 x 1/2

Probability of answering both questions correctly = 1/4

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Answer:3 and  10 and 3/10

Step-by-step explanation:

The slope of the given line y = -(4/5)x + 3 is -(4/5).

The slope of a line is defined as the gradient of the line.

The slope of a line is a measure of its steepness. It is defined as the change in y (the "rise") divided by the change in x (the "run") between two points on the line.

The equation is given in the question as:

y = - (4/5)x + 3

To find the slope of a line given by the equation y = mx + b, where m is the slope and b is the y-intercept, we can just take the coefficient of x, which is m.

As per the question, the coefficient of x is -(4/5), so the slope of the line is -(4/5).

Therefore, the slope of the given line is -(4/5).

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The relation is not a function because the element 17 is paired with two elements in the range (17 and 0). Therefore, the relation is not a function.

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The steps of copying involve selecting the text you want to copy, copying the text using the option from the right click menu or alternatively using the keyboard shortcut ctrl + c.

The clipboard is a section of memory that the computer temporarily saves data when you copy or cut it from its original location. When you paste something, the previously copied or cut data is retrieved from the clipboard and added to the new location.

Text that is copied remains in its original location; a copy of the original text is created and kept in the clipboard. When you cut text, the original text is removed from its original location and put in the clipboard. When you copy or trim text, the original text is kept, but the original location is lost. In all cases, the copied or chopped text can be put into another location.

These steps can be used to copy text or other objects in a computer program:

By highlighting it with your pointer, you may choose the text or object that you wish to copy.

Use the keyboard shortcut "Ctrl+C" or the context menu when you right-click the highlighted text or object to choose "Copy" from the context menu.

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Answer:

Step-by-step explanation:

To find the exact value of x, we need to solve the given equation for x. The equation is:

32^1/25 x 2^x = 8^1/4

To solve this equation, we need to rewrite it in a form that allows us to isolate the variable x. We can start by using the properties of exponents to simplify the left-hand side of the equation. We can use the property that says that raising a number to a fractional power is the same as taking the square root of that number, raised to the power of the denominator of the fraction. So, we can write:

(32^1/25)^2 = (32^1/25)^25/25 = 32^1/25

This simplification allows us to rewrite the left-hand side of the equation as follows:

32^1/25 * 2^x = (32^1/25)^2 * 2^x

Next, we can use the property of exponents that says that the product of two numbers raised to the same power is equal to the product of the numbers, raised to that power. So, we can rewrite the left-hand side of the equation as follows:

(32 * 2)^1/25 * 2^x = (32^1/25)^2 * 2^x

Then, we can use the property of exponents that says that raising a product to a power is the same as raising each factor to that power. So, we can rewrite the left-hand side of the equation as follows:

(32^1/25) * 2^(1/25 + x) = (32^1/25)^2 * 2^x

Finally, we can use the property of exponents that says that the exponent of a power is equal to the product of the exponents of the base and the power. So, we can rewrite the left-hand side of the equation as follows:

(32^1/25) * 2^(1/25 * 25 + 1 * x) = (32^1/25)^2 * 2^x

Since the right-hand side of the equation is already in a form that allows us to isolate the variable x, we can now use the property of exponents that says that raising a number to a power and then taking the square root of that number is the same as

10800 mm³ is the volume of the unsharpened pencil.

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

Given that the unsharpened pencil is in the shape of a hexagonal prism with base area of 54 mm².

The length of hexagonal prism is  20 cm.

Let us convert cm to mm

1 cm = 10 mm

20 cm =200 mm.

Volume of hexagonal prism V=Ah.

A is the base area and h is the height.

V=54×200

=10800 mm³.

Hence,  volume of an unsharpened pencil is in the shape of a hexagonal prism with base area of 54 mm² and length of 20 cm is 10800 mm³.

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The probability that two red balls are chosen from the vase would be = 1/9

Probability is defined as the concept that proves that an event may occur or not.

The number of red balls = 7

The number of black balls = 2

The number of green balls = 9

The total number of balls in the vase = 18

The probability of getting 2 red balls = 2/18 = 1/9

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Jackson should correctly phrase both the alternative hypothesis and the null hypothesis as follows:

b. )

p = 0.20 indicates a null result.

A different result: p ≠ 0.20

What exactly is null hypothesis?

A specific type of statistical hypothesis known as a null hypothesis claims that no statistical significance can be established in a given set of facts. One can assess the truthfulness of a hypothesis through the use of sample data in hypothesis testing. It is represented by the letter H0 and is also sometimes referred to as the "null."

The conjecture, also known as the null hypothesis, is a tool used in quantitative analysis to examine the validity of beliefs about markets, economies, and investment strategies.

A null hypothesis is a form of speculation that asserts that specific characteristics of a population or data collection method are not distinct from one another in statistics.

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Answer:

Step-by-step explanation: a) To calculate the total cost of the couch when paid with a credit card, we need to calculate the amount of interest that will be charged. To do this, we first need to calculate the monthly interest rate by dividing the annual interest rate by 12. In this case, the monthly interest rate is 20/12 = 1.67%.

Next, we need to multiply the cost of the couch by the monthly interest rate to find the amount of interest that will be charged. In this case, the amount of interest is 999 * 1.67% = 16.67.

Finally, we need to add the amount of interest to the cost of the couch to find the total cost when paid with a credit card. In this case, the total cost is 999 + 16.67 = 1015.67.

To calculate the total cost of the couch when paid with the store promotion, we simply need to add up all 15 monthly payments. In this case, the total cost is 15 * 70 = 1050.00.

b) To calculate the annual interest rate being charged with Option 2, we need to divide the total cost of the couch by the number of monthly payments and then multiply by 12. In this case, the annual interest rate is (1050/15)*12 = 96%.

Answer: B

I have to add extra words to answer you but it’s B :))

The answer is c). The probability that the basketball player makes his first three-point shot on the third attempt is 0.38.

The geometric distribution is a probability distribution that describes the number of independent trials required to get a success. In this case, the basketball player has a 25% accuracy rate at making three-point shots, which means that the probability of success (making a three-point shot) is p=0.25 and the probability of failure (missing a three-point shot) is 1-p=0.75. Using the geometric distribution formula, the probability that the basketball player makes his first three-point shot on the third attempt is:

This means that there is a 38% probability that the basketball player will make his first three-point shot on the third attempt.

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The percent decrease in the number of people who went to the pool over these four weeks is 15%.

The number of people in each week will be recorded below:

First week = 1020

Second week = 1020 - 100 = 920

Third week = 920 + 145 = 1065

Fourth week = 1065 - 198 = 867

The percent decrease in the number of people who went to the pool over these four weeks will be:

= (1020 - 867) / 1020 × 100

= 153 / 1020 × 100

= 15%

The percentage decrease is 15%.

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The vertex of the graph of f(x) = |x - 5| - 6 is (5, -6). It lies in the fourth quadrant.

Therefore the answer is (5, -6).

The graph f(x) = |x - 5| - 6 is symmetrical about the axis  x = 5.

A vertex of a graph is a node of a graph. For a graph of the form f(x) = a|x - h| + k, the vertex is (h, k). So in this case where f(x) = |x - 5| - 6, a = 1, h = 5 and k = -6. Therefore the vertex of the given graph f(x) is

(5, -6)

--The question is incomplete, answering to the question --

"What is the vertex of the graph of f(x) = |x - 5| - 6?"

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Answer:

a. 648

Step-by-step explanation:

Deposit= Principal= p

Interest rate = R

Time= T

Simple Interest = P x T X R X 0.01

= 5400 x 6 x 2 x 0.01

=648

Answer:

a) $13.75

b) $41.24

Step-by-step explanation:

Original price: $54.99

Discount: 25%

Amount of discount: 25% of $54.99 = 25/100 × $54.99 = 0.25 × $54.99 = $13.75

Sale price: $54.99 - $13.75 = $41.24

The value of the sum of the functions f(x) and g(x), (f + g)(x) is 5x³ - 4x.

The outputs for a certain set of inputs can be referred to as a function.

A function's inputs are referred to as its independent variables, while its outputs are referred to as its dependent variables.

Given, f(x) = x³ + 8 and g(x) = 4x³ - 5x - 8.

Let, f(x) = x³ + 0x + 8.

We know, (f + g)(x) = f(x) + g(x).

Therefore, (f + g)(x) = (x³ + 0x + 8) + (4x³ - 5x - 8).

(f + g)(x) = x³ + 4x³ + 0x - 4x + 8 - 8.

(f + g)(x) =  5x³ - 4x.

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Answer:

Y-intercept: 3

Step-by-step explanation:

The equation is y = mx + b

m is the slope

b is the y-intercept

In this case, the y-intercept is 3

Answer: One by two

Step-by-step explanation:

Because the mu is half or 0.5, so the word in the blank will be one by two!

The option that has correct quotient is option A = 4.15 ÷ 2.5 and Option B = 0.415÷0.25

How to find which has a quotient?

Quotient * Dividend  =  Divisor

A. 4.15 ÷ 2.5

Quotient = 1.66

Divisor = Quotient * 2.5

= 1.66 * 2.5

= 4.15

So, Option A is a correct answer.

B. 0.415÷0.25

Divisor = Quotient * 0.25

= 1.66 * 0.25

= 0.415

So, Option B is a correct answer.

C. 41.5÷0.25

Divisor = Quotient * 0.25

= 1.66 * 0.25

= 0.415 ≠ 41.5

So, Option C is not a correct answer.

D. 4.15÷0.25

Divisor = Quotient * 0.25

= 1.66 * 0.25

= 0.415 ≠  4.15

So, Option D is not a correct answer.

E. 0.415 ÷ 2

Divisor = Quotient * 0.25

= 1.66 * 2

= 3.32 ≠  0.415

So, Option E is not a correct answer.

Hence, The option that has correct quotient is option A = 4.15 ÷ 2.5 and Option B = 0.415÷0.25

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Answer:

Step-by-step explanation:

for double fractions,   invert the bottom one and then multiply them

[tex]\frac{3}{8}[/tex] * [tex]\frac{5}{2}[/tex]

= [tex]\frac{15}{16}[/tex]

= 0.9375