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3 years ago

find the smaller of 2 consecutive integers,x, if the sum of the smaller and 6 times the larger is -29

Mathematics

1 answer:

AnnyKZ [126]3 years ago

3 0

Answer:- The smaller integer is -5.

Explanation:-

Let the first consecutive integer be x and the second consecutive integer be x+1.

According to the given question:-

x+6(x+1)= -29

⇒x+6x+6= -29 [distributive law]

⇒x+6x= -29-6 [subtract 6 on the both sides]

⇒7x= -35 [combining like terms ]

⇒x= -5 [dividing 7 on both sides]

Thus the smaller integer =x= -5

larger integer =x+1= -5+1= -4

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Angles DAB measure (4x-2) and angles BCD measures 47 degrees.find x

love history [14]

Forgive me but they deleted my answer for it did not have any work to be shown providing you know how to do Algebra you get X= 12 as your outcome. <span />

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3 years ago

What is lim x→-3 sqrt x^2-8

vitfil [10]

If the -8 is under the square root, then...

$\displaystyle L = \lim_{x\to -3} \sqrt{x^2-8}\\\\L = \sqrt{(-3)^2-8}\\\\L = \sqrt{9-8}\\\\L = \sqrt{1}\\\\L = 1\\\\$

If the -8 is not under the square root, then...

$\displaystyle L = \lim_{x\to -3} \sqrt{x^2}-8\\\\L = \sqrt{(-3)^2}-8\\\\L = \sqrt{9}-8\\\\L = 3-8\\\\L = -5$

Either way, we replace x with -3 and simplify.

For more information, refer to the direct substitution rule for limits.

4 0

1 year ago

a student has answered 82% of the questions correctly in the examination. He made mistakes in 9 questions Calculate the toltal n

Sonja [21]

Answer:

There is a total 50 questions.

Step-by-step explanation:

Let x = total questions in the exam

Since 82% of the test was scored correctly, that means 18% of the student's exam was scored incorrectly.

With this information we can write:

$18\%x=9$ (Given that the student made 9 mistakes)

$x=9\div18\%$ (divide 18% on both sides)

$x=50$

∴ There was a total of 50 questions in the examination.

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3 years ago

A password is 4 characters long and must consist of 3 letters and one number. if letters cannot be repeated and the password mus

sdas [7]

The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more number and variables.

The possibility of selecting the password = 26 * 25 * 24 * 10 = 156000

The possibility of selecting a 4 characters long password consisting of 3 letters and one number if letters cannot be repeated and the password must end with a number is 156000

Find out more on equation at: brainly.com/question/2972832

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2 years ago

Determine whether the variable is qualitative or quantitative.

Oduvanchick [21]

Answer:

Qualitative variable

A. The variable is qualitative because it is an attribute characteristic.

<h2>What are Quantitative and Qualitative variables?</h2>

A qualitative variable is one in which the "true" or naturally occurring levels or categories taken by that variable are not described as numbers but rather by verbal groupings.

Example: levels or categories of hair color (black, brown, blond)

A quantitative variable on the other hand are those in which the natural levels take on certain quantities (e.g. price, travel time)

That is, quantitative variables are measured in some numerical unit (eg. pesos, minutes, inches, etc.)

<h2>How is hair color a qualitative variable?</h2>

Because hair color is a categorical variable, it is a qualitative variable too. This is because hair color can be put into different categories depending on the color of someone or something's hair. Someone could have blond, brown, or black hair; they might even have red hair. It's all different and are attributed characteristic, they are all put into different categories, but can only be measured statistically while remaining constant (with different amounts).

<h2>What is a numerical variable and what is a categorical variable?</h2>

A categorical variable is a category or type. For example, hair color is a categorical value or hometown is a categorical variable. Species, treatment type, and gender are all categorical variables.

A numerical variable is a variable where the measurement or number has a numerical meaning. For example, total rainfall measured in inches is a numerical value, heart rate is a numerical value, number of cheeseburgers consumed in an hour is a numerical value.

<em>A categorical variable can be expressed as a number for the purpose of statistics, but these numbers do not have the same meaning as a numerical value. </em>For example, if I am studying the effects of three different medications on an illness, I may name the three different medicines, medicine 1, medicine 2, and medicine 3. However, medicine three is not greater, or stronger, or faster than medicine one. These numbers are not meaningful.

Learn more about qualitative and quantitative variables:

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7 0

2 years ago