help! (functions) I don’t understand how to do this

Answer:

any number less than 4.3

Step-by-step explanation:

Let x = number that can be added to -4.3

-4.3 + x < 0

Add 4.3 to both sides.

x < 4.3

Answer: any number less than 4.3

How are the algebraic expressions divided?

a) (4x4-12x³ + 7x² + 3x - 2) by (2x²-3x-2) = (2x-1) (x-1)

Factorization of the numerator ,

[tex]4x^4-12x^3 + 7x^2 + 3x - 2\\\\= (4x^4+ 7x^2 - 2) -12x^3+3x\\\\= (4x^4- x^2+ 8x^2 - 2) -12x^3+3x\\\\=(4x^4- x^2)+ (8x^2 - 2) -12x^3+3x\\\\= x^2(4x^2- 1)+ 2( 4x^2 - 1) -12x^3+3x\\\\=(4x^2- 1)(x^2+2)-12x^3+3x\\\\=(4x^2- 1)(x^2+2)+(-12x^3+3x)\\\\=(4x^2- 1)(x^2+2)-3x(4x^2-1)\\\\=(4x^2- 1)(x^2+2-3x)\\\\=(4x^2- 1)(x^2-x-2x+2)\\\\=(4x^2- 1)((x^2-x)+(-2x+2))\\\\=(4x^2- 1)(x(x-1)-2(x-1))\\\\=(4x^2- 1)(x-1)(x-2)\\\\=(2x+1)(2x-1)(x-1)(x-2)[/tex]-----(1)

Factorization the denominator ,

[tex](2x^2-3x-2)\\\\= (2x^2+x-4x-2)\\\\= (2x^2+x)+(-4x-2)\\\\=x(2x+1)-2(2x+1)\\\\=(2x+1)(x-2)[/tex]                          ----(2)

Divide (1) by (2)

= [tex]\frac{(2x+1)(2x-1)(x-1)(x-2)}{(2x+1)(x-2)}[/tex]

= (2x-1) (x-1)

b) (x² + 4y¹) by (x² + 2y²-2xy)

[tex]\frac{x^{2} +4y}{x^{2} +2y^{2} -2xy}[/tex]

This is the simplest form of the algebraic expression.

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The simplified forms of the radical expressions:

In this question we find five cases of addition of radical expressions that must be simplified into a single radical expression, that is, a radical expression of the form a√b. The simplification can be done by using algebra properties. The complete procedure is shown below:

Case 1

- 3√18 + 10√2

- 3 · (√9 × √2) + 10√2

- 3 · 3 · √2 + 10√2

- 9√2 + 10√2

√2

Case 2

- 2∛24 - 5∛3

- 2 · (∛8 × ∛3) - 5∛3

- 2 · 2 · ∛3 - 5∛3

- 4∛3 - 5∛3

- 9∛3

Case 3

5√12 - 2√27

5 · (√3 × √4) - 2 · (√3 × √9)

5 · 2 · √3 - 2 · 3 · √3

10√3 - 6√3

4√3

Case 4

5∛16 + 11∛2

5 · (∛8 × ∛2) + 11∛2

5 · 2 · ∛2 + 11∛2

10∛2 + 11∛2

21∛2

Case 5

3√54 - 21√24

3 · (√6 × √9) - 21 · (√6 × √4)

3 · 3 · √6 - 21 · 2 · √6

9√6 - 42√6

- 31√6

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Answer:

$3015

Step-by-step explanation:

Answer:

$3015

Step-by-step explanation:

Comment

She earned 9% of 33500

To replace th4 % sign, you always divide the number given by 100.

So 9% as a decimal is 9/100 = 0.09. Notice where the 100 goes. It is right underneath the 9. So you are dividing by 100.

So she earned

0.9 * 33500          =      $3015

Answer:

13 inches

Step-by-step explanation:

So, the hypotenus is the longest side of a right triangle, so it would be 13. But, if you really want to double check, you can take a2 + b2 = c2 and fill in each letter with a number until it is right. So, we'll do a=5, b=12, and c=13. 5 squared is 25, 12 squared is 144, and 13 squared is 169. 144+25=169.

The given triangle is a right triangle and measurement of ∠ B = 44°

A triangle in which one angle is a right angle (that is, a 90-degree angle), i.e., in which two sides are perpendicular.

Given a right triangle,

We know the sum of two angles in a right triangle is 90°

∠ A + ∠ B = 90°

46° + ∠ B  = 90°

∠ B = 44°

Hence, the measurement of ∠ B = 44°

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Step-by-step explanation:

we need to remember the formula for the circumference of a circle :

2×pi×r

or

2×r × pi

what is 2×r ? the double radius ? 2 times the radius is the diameter.

so, we know

diameter × pi = 34 ft

diameter = 34/pi = 10.82253613... ft

It takes 1.75 minutes to an average customer to wait

The waiting times standard deviation is 1.01

The percentage of a customer wait under a minute is 28.57%

42.86% customers wait more than two minutes

Uniform distribution: n probability theory and statistics, the continuous uniform distribution or rectangular distribution is a family of symmetric probability distributions. The distribution describes an experiment where there is an arbitrary outcome that lies between certain bounds.

Display the 1.00 area under the curve.

The rectangle has a length of 3.5 - 0 = 3.5.

The rectangle's height is 1/3.5.

To determine the area, multiply:

3.5 * 1/3.5 = 1

How long does the average customer have to wait for an elevator?

EV stands for average between high and low.

= (0+3.5)/2

= 1.75

What is the waiting time's standard deviation?

Standard deviation is equal to sqrt(b-a2/12).

= sqrt((3.5-0)^2/12)

= 1.01

What percentage of customers wait under a minute?

It is x/(b-a) = 1/ for less than (3.5-0)

1/3.5

= 28.57%

How many customers wait more than two minutes?

It is 1 - x for greater than (b-a)

(3.5-2)/3.5

= 1.5/3.5

= 42.86%

It takes 1.75 minutes to an average customer to wait

The waiting times standard deviation is 1.01

The percentage of a customer wait under a minute is 28.57%

42.86% customers wait more than two minutes

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Answer: 188.6 seconds which is rounded to 189 seconds or 3 minutes and 9 seconds

Step-by-step explanation:

Since we see that a time is given for 1 mile, to find the other distance we multiply the time for 1 mile (49.7 seconds) by the distance required (3.8 miles)

It can be also written like this:

1 mile -------> 49.7 seconds

3.8 miles-------> 49.7 seconds x 3.8 miles = 188.6 seconds rounded to 189 seconds. If asked for minutes, it can be written as 3 minutes and 9 seconds

Hope this helps!

It will take Cindy and Latasha and average of 24.44 years to have equal salary

Equivalent equations are algebraic equations having identical solutions or roots. In this question, we would use x to represent the number of years it will take to earn or have equal amount.

The equation can be written as

[tex]40000 + 3300x = 62000 + 2400x \\[/tex]

Each side of the equation represents the increase in salary per year of each person

Lets collect like terms and solve for x

[tex]62000-40000 = 3300x - 2400x\\22000 = 900x\\x = \frac{220}{9}\\x = 24.444[/tex]

It will take 24.44 years for them to have equal amount of salary.

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Answer:

B)4+5×(3^2-9)÷3^2 C)

Step-by-step explanation:

From the given information Tameka is 22 years old.

Given:

The sum of the ages of Tameka, Jessica, and Venessa is 57

And Tameka is 3 years older than Jessica and 6 years older than Venessa

Let Tameka's age be x

Therefore, Jessica' age will be x-3 and Venessa age will be x -6

Therefore according to the question,

x + (x-3) + ( x-6) = 57

=> 3x = 57 + 3 + 6

=> x = 66/3

x= 22years

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The value of the x for the two given parallel lines is 80.

For the given question;

The value of the angles are given in the form of equation.

∠1 + (12x + 7) = 180 (linear pair)

∠1 = 180 - 12x - 7

∠1 = 173 - 12x

Now,

∠1 = 8x + 13 (corresponding angles)

Put the value of ∠1.

173 - 12x = 8x + 13

On simplification,

173 - 13 = 8x + 12x

160 = 20 x

x = 80

Thus, the value of the x for the two given parallel lines is 80.

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Answer:

g = 5/m

Step-by-step explanation:

mg = 5

÷m on both sides to get g on its own

g = 5/m

The coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

What is section formula?

Section formula is used to find the ratio in which a line segment is divided by a point internally or externally. The section formula can be given as

[tex](\frac{mx_{2}+nx_{1} }{m+n} ,[/tex][tex]\frac{my_{2}+ny_{1} }{m+n})[/tex] where [tex](x_{1},y_{1} ),(x_{2},y_{2} )[/tex] are the endpoints of the segment and this points are divided in the ratio [tex]m:n[/tex]

We are given the coordinates as (-1,-2) and (8,4)

This segment is divided in ratio 2:1

We use section formula to find the coordinates

the x- coordinates can be given as

[tex]x=\frac{2(8)+1(-1)}{2+1}[/tex]

[tex]x=\frac{16-1}{3}\\[/tex]

[tex]x=\frac{15}{3}[/tex]

[tex]x=5[/tex]

Similarly the y coordinate can be given as

[tex]y=\frac{2(4)+1(-2)}{2+1}[/tex]

[tex]y=\frac{8-2}{3}[/tex]

[tex]y=\frac{6}{3}[/tex]

[tex]y=2[/tex]

Hence the coordinates which divide the segment with endpoint (-1,-2) and (8,4) in the ratio 2 to 1 are (5,2)

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The equation of the function is y = -1/2x.

A function is an equation that, for each value of x, has a one solution for the variable y. Each input receives exactly one output when using a function. When x equals 2, we should determine our function's value because f(2) says to do so.

Here points are (-6,3) and (6, -3)

m = [tex]\frac{y_{2} -y_{1} }{x_{2}-x_{1} }[/tex]

here, m = -3-3/6+6

m = -1/2

equation of line is y = mx + b

y = -1/2x+ b

hence, equation of function is y = -1/2x

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Answer:

A(35

B(-25

Step-by-step explanation:

3x10+5=35

3x-10+5=25

let me break it down more for you

3 x 10= 30 + 5= 35

3 x -10= -30 + 5 = 25

Answer

n = 5

Explanation

We need to solve for n in the equation given

7n - 4 = 31

Add 4 to both sides

7n - 4 + 4 = 31 + 4

7n = 35

Divide both sides by 7

(7n/7) = (35/7)

n = 5

Hope this Helps!!!

Given:

The equation is,

Explanation:

Substitute 3 for x and 2 for y in the equation to check for the solution.

Point (3,2) not satisfy the equation. So point (3,2) is not a solution of equation

Lets suppose we used an example of two children, one of them having $7.50 and other one having $8.40, and the total money will be the addition i.e., $15.9 using decimal operations.

As per the question statement, we are supposed to write and solve a word problem for decimal addition. Let the statement be : Two children, one of them have $7.50 and other one having $8.40, the sum total money would be____".

We are supposed to add both decimal numbers:

Total money = $7.50 + $8.40

Total money = $15.9

Hence, the sum total of the money of both the children is $15.9 using the decimal operations.

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The vector given in Option C is correct.

In mathematics and physics, the term "vector" is used informally to describe certain quantities that cannot be described by a single number or by a set of vector space elements. a quantity in mathematics that lacks position but has both magnitude and direction. Velocity and acceleration are a couple of examples of these quantities. A quantity or phenomenon with independent qualities for both magnitude and direction is called a vector. The term can also refer to a quantity's mathematical or geometrical representation. Velocity, momentum, force, electromagnetic fields, and weight are a few examples of vectors in nature.

Given,

The vector should be arranged with the direction going toward the tips of Vector A and Vector B.

Option C is correct.

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If the temperature in the morning and noon is -14.8 degrees and 6.2 degrees Fahrenheit the temperature change will be 21°F.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

It is given that  At 5:00 am in the morning, the temperature was -14.8 degrees Fahrenheit. By noon, the temperature increased to 6.2 degrees Fahrenheit.

First, the temperature is changed from -14.8 degrees to 0 degrees Fahrenheit and then from 0 degrees Fahrenheit to 6.2 degrees Fahrenheit.

The overall temperature change is,

ΔT =T₂ - T₁

ΔT =6.2° F - (-14.8°F)

ΔT =21°F

Thus, if the temperature in the morning and noon is -14.8 degrees and 6.2 degrees Fahrenheit the temperature change will be 21°F.

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Two Spiteful Uncles Walking to the Beat

A Short Story

by Grim

Lee Changseon had always loved deprived Falmouth with its magnificent, mutated mountains. It was a place where he felt delighted.

He was a down to earth, splendid, squash drinker with ruddy eyes and handsome ankle. His friends saw him as a bad, breakable barndon harera. Once, he had even helped a silky chicken cross the road. That's the sort of man he was.

Lee walked over to the window and reflected on his creepy surroundings. The snow flurried like thinking puppies.

Then he saw something in the distance, or rather someone. It was the figure of Morwenna Thornton. Morwenna was a sympathetic friend with skinny eyes and tall ankle.

Lee gulped. He was not prepared for Morwenna.

As Lee stepped outside and Morwenna came closer, he could see the squashed smile on her face.

Morwenna gazed with the affection of 747 sinister ordinary owls. She said, in hushed tones, "I love you and I want Internet access."

Lee looked back, even more sneezy and still fingering the cursed gun. "Morwenna, I just don't need you in my life any more," he replied.

They looked at each other with ecstatic feelings, like two hurt, handsome horses drinking at a very brutal snow storm, which had piano music playing in the background and two spiteful uncles walking to the beat.

Lee regarded Morwenna's skinny eyes and tall ankle. "I feel the same way!" revealed Lee with a delighted grin.

Morwenna looked jumpy, her emotions blushing like a narrow, nosy newspaper.

Then Morwenna came inside for a nice beaker of squash.

THE END lol

Answer:

? = 56 m

Step-by-step explanation:

since the triangles are similar then the ratios of corresponding sides are in proportion, that is

[tex]\frac{?}{8}[/tex] = [tex]\frac{21}{3}[/tex] = 7 ( multiply both sides by 8 to clear the fraction )

? = 7 × 8 = 56 m

Answer:

Step-by-step explanation:

When Kara is sorting buttons by length for a craft project  and the line plot shows the length of each button. If Kara lines up all the 3/4 inches buttons, then the total length is  [tex]2\frac{1}{4}[/tex] inches

The length of the button = 3/4 inches

Number of 3/4 inch buttons = 3 buttons

Then the total length = Number of 3/4 inch buttons × The length of the button

Substitute the values in the equation

The total length = 3×(3/4)

= 9/4 inches

Convert the simple fraction to the mixed fraction

9/4 inches = [tex]2\frac{1}{4}[/tex] inches

Hence, when Kara is sorting buttons by length for a craft project  and the line plot shows the length of each button. If Kara lines up all the 3/4 inches buttons, then the total length is  [tex]2\frac{1}{4}[/tex] inches.

The complete question is

Kara is sorting buttons by length for a craft project. the line plot shows the length of each button. if Kara lines up all the 3/4-inch button, what would be the total length?

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Find intersection of

BD , AD DC

Then

BD = BE^2 + ED^2

R = AD = abc/4S = 42• (2•28)•

To make the trip in 25 hrs, the train must travel as fast as 42 mph.

Speed is the rate or the change in distance over change in time.

Speed = d / t

where d = distance

t = time

If a train traveling from Chicago to New York has a speed of 35 mph and took 30 hours to cover the distance from the two locations, then the distance is 1050 miles.

Speed = d / t

35 mph = d / 30 h

d = 1050 miles

Covering the same distance, solve for the rate of speed needed by the train to make the trip in 25 hours.

Speed = d / t

Speed = 1050 miles / 25 hours

Speed = 42 mph

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Answer:

See my photo, bro. i am not really sure if this week should be counted in. And the second question's answer i am not really sure. hope it can help.

Answer:

divide by -9 and you get -3/9x-9 simplify -3/9 to -1/3

Step-by-step explanation:

-1/3x is your slope