Solve the inequality.
2(4x-3) 2-3(3x) + 5X?

When completing the square is carried out on the quadratic [tex]x^2+11x[/tex] we get

[tex]x^2+11x+\dfrac{121}{4}[/tex]

when expressed as a binomial squared, we get

[tex]\left(x+\dfrac{11}{2}\right)^2[/tex]

To complete the square, we need to add a term to the expression

[tex]x^2+11x[/tex]

that would make it a perfect square. Generally, given the quadratic expression

[tex]x^2+bx[/tex]

to make it a perfect square, we have to add half the square of the coefficient of [tex]x[/tex]. That is, add [tex]\left(\frac{b}{2}\right)^2[/tex], or [tex]\frac{b^2}{4}[/tex] to the quadratic expression to get

[tex]x^2+bx+\dfrac{b^2}{4}[/tex]

which, when factored into a binomial squared becomes

[tex]\left(x+\dfrac{b}{2}\right)^2[/tex]

In our case, the quadratic [tex]x^2+11x[/tex] will become

[tex]x^2+11x+\dfrac{121}{4}[/tex]

and when expressed as a binomial squared, we get

[tex]\left(x+\dfrac{11}{2}\right)^2[/tex]

Learn more about completing the square here https://brainly.com/question/2055939

Answer:

[tex]x^{2}[/tex] +11x+ [tex]\frac{121}{4}[/tex]= [tex](x+\frac{11}{2} )^{2}[/tex]

Step-by-step explanation:

.

Answer:

it's D all real numbers whose distance from 0 is less than 10.

                                                       Answer

Hope this helps! <3

Answer:

1x^2+8x

Step-by-step explanation:

Combine like terms

6x^2+(-5x^2)+10x+(-2x)+(-1)+1

1x^2 +8x+0

And there you go

Answer:

the answer is [tex]6x+3y[/tex]

Step-by-step explanation:

[tex]\mathrm{Remove\:parentheses}:\\=11x+2y-\left(5x-y\right)\\\\-(5x-y): -5x+y\\=11x+2y-5x+y\\Simplify:\\11x+2y-5x+y: 6x+3y\\\\=6x+3y[/tex]

hope this helps :)

Try using Symbolab, I use it all the time it gives the correct answer and it gives good explanations.

Answer:

4.5

Step-by-step explanation:

Answer:

9 meters per 2 second or 4.5

Step-by-step explanation:

divide both by ten : )

Answer:

we can verify that the determined equation is the same as the equation determines by Misty, hence, we conclude that Misty had correctly determined the equation of the linear function.

Step-by-step explanation:

As Misty determined the equation of linear function:

[tex]y=-2x+9[/tex]

We need to check whether she has got the correct equation or not.

As the linear equation passes through the points  [tex](1, 7)[/tex] and [tex](2, 5)[/tex].

Finding the slope:

The slope between two points  [tex](1, 7)[/tex] and [tex](2, 5)[/tex]

[tex]\left(x_1,\:y_1\right)=\left(1,\:7\right),\:\left(x_2,\:y_2\right)=\left(2,\:5\right)[/tex]

[tex]m=\frac{5-7}{2-1}[/tex]

[tex]m=-2[/tex]

As we know the point-slope form is:

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

So, the equation of the line will be:

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

[tex]y-5=-2\left(x-2\right)[/tex]

Add 5 to both sides

[tex]y-5+5=-2\left(x-2\right)+5[/tex]

[tex]y=-2x+9[/tex]

From the above calculation, we can verify that the determined equation is the same as the equation determines by Misty, hence, we conclude that Misty had correctly determined the equation of the linear function.

Answer:

Answer. circumference = 151 m ( appr.) Ans :- The cost of fencing is Rs 604 .

so the picture to the left is the first part and the one on the right is the second due to the lack of space on the screen

Answer:

Fraction of saving = 1/8

Step-by-step explanation:

Given:

Spent on bills = 3/8

Spend on food = 2/5

Spend on entertainment = 1/10

Find:

Fraction of saving

Computation:

Fraction of saving = 1 - Spent on bills - Spend on food - Spend on entertainment

Fraction of saving = 1 - 3/8 - 2/5 - 1/10

By taking LCM

Fraction of saving = [40 - 15 - 16 - 4]/40

Fraction of saving = [5]/40

Fraction of saving = 1/8

Answer:

7.80

Step-by-step explanation:

46.80 divided by 6 is 7.80

Answer:

118 ounces

Step-by-step explanation:

14.75 • 8 = 118

Answer:

13 1/3

Step-by-step explanation:

So the question is Marita's nose is 2 inches long and her head is 9 inches tall. Assume Mount Rushmore was carved using the same ratio. If Teddy Roosevelt's head is 60 feet tall, how long should his nose be? Round to the nearest foot, if necessary.

First divide 60 by 9 to figure out the first part of the ratio. So that is 60/9 or    6 2/3.

Then multiply 2 by 6 2/3 which is 13 1/3.

Finally when rounded to the nearest foot, it will be 13.

Ur welcome

Answer:

9

Step-by-step explanation:

Answer:

[tex]\frac{21}{100}[/tex]

Step-by-step explanation:

As you can see in the table, there are 21 people that have dogs but don't take walks. To find the probability, divide 21 by the total amount of people that attended the survey:

[tex]\frac{21}{100}[/tex]

This fraction can't be simplified.

The probability, represented as a fraction in simplest form, that a randomly selected person does not take walks but has a dog is [tex]\frac{21}{100}[/tex].

Answer:

m=4

Step-by-step explanation:

−9(m+3)+14=−49

Step 1: Simplify both sides of the equation.

−9(m+3)+14=−49

(−9)(m)+(−9)(3)+14=−49(Distribute)

−9m+−27+14=−49

(−9m)+(−27+14)=−49(Combine Like Terms)

−9m+−13=−49

−9m−13=−49

Step 2: Add 13 to both sides.

−9m−13+13=−49+13

−9m=−36

Step 3: Divide both sides by -9.

−9m

−9

=

−36

−9

m=4

Answer:

I got to say Post Malone.

Step-by-step explanation:

1. He isn’t afraid to be relatable:

2. He brings his quirks to his Interviews:

3. His music breaks multiple genres:

4. The success of his first album:

7. He’s only 22:

Answer:

Step-by-step explanation

This  helped me

Answer:What is the rate of change of e=3h+200

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

Answer:

the first one

Step-by-step explanation:

Answer:

n ≥ 42

Step-by-step explanation:

n -23 ≥ 19      add 23

n ≥ 48

Answer:

Perimeter of rectangle is 23.34

Step-by-step explanation:

The coordinates of the vertices of a rectangle are (-4, 3), (-1, 5),(3, – 1), and (0, – 3).

What is the perimeter of the rectangle?

The formula to find perimeter of rectangle is: [tex]Perimeter=2(l+w)[/tex]

We need to find length and width first using the coordinates (-4, 3), (-1, 5),(3, – 1), and (0, – 3).

Let A=(-4, 3) B=(-1, 5) C=(3, – 1) and D=(0, – 3) according to the figure attached.

So, If we find distance of point AB it can be considered length of rectangle and distance of point AC can be considered width of rectangle

The formula used to find distance is: [tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Finding distance AB, we have [tex]x_1=-4, y_1=3, x_2=-1, y_2=5[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(-1-(-4))^2+(5-3)^2}\\Distance=\sqrt{(-1+4)^2+(5-3)^2}\\Distance=\sqrt{(3)^2+(2)^2}\\Distance=\sqrt{9+4}\\Distance=\sqrt{13}\\Distance=3.61[/tex]

So distance between point A and B is 3.61

Finding distance AC, we have [tex]x_1=-4, y_1=3, x_2=3, y_2=-1[/tex]

[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\Distance=\sqrt{(3-(-4))^2+(-1-3)^2}\\Distance=\sqrt{(3+4)^2+(-1-3)^2} \\Distance=\sqrt{(7)^2+(-4)^2} \\Distance=\sqrt{49+16} \\Distance=\sqrt{65}\\Distance=8.06[/tex]

So, distance between point A and C is 8.06

We have length = 3.61 and width = 8.06

Using formula of perimeter

[tex]Perimeter=2(l+w)\\Perimeter=2(3.61+8.06)\\Perimeter=2(11.67)\\Perimeter=23.34[/tex]

So, Perimeter of rectangle is 23.34

Answer:

Step-by-step explanation:

All you need o divide 3,300 by 50

  3300

÷     50

--------------

66

so ever minute he would most likely type 66 words

Answer: The other person eats 5/6ths of a pizza

Step-by-step explanation:

put it into sixths

Answer:

5 /6

Step-by-step explanation:

may be 5/ 6 is the correct one

Answer:

I'm pretty sure it's B.

Answer:

B. y=-4/3x+4

Step-by-step explanation:

Find the y-intercept you will always find it on the y axis (in this case it is 4)

the slope is -4/3 because you go down 4 times (Going down is negative up is positive) and right 3 times (Right is positive and left is negative)

Slope= rise/run

Hope this helps!

A teacher write the algebraic expression 24c + 5m + 19.99 to represent the cost of supplies. She bought 24 packages of pencils, 5 packages of markers, and a beanbag chair. Identify variables, coefficients, and terms in the expression. Tell what each represents.

Answer:

Step-by-step explanation:

The algebraic expression is written by the teacher as:

24c + 5m + 19.99

Purchased product are:

24 packages of pencils, 5 packages of markers, and a beanbag chair.

The variables are;

packages of pencils; packages of markers; a beanbag chair.

The coefficients are;

24, 5 and 19.99

This representation implies that;

The teacher bought:

24 "c"olored pencils;

5 packages of  "m"arkers; &

19.99 represent the cost of each beanbag chair.

Answer:

m/n=9/4

Step-by-step explanation:

4m = 9n

m/n=9/4

Answer: six amount of 0.15 and 7 amount of 0.35

Step-by-step explanation:

I am pretty sure this is correct, i am trying my best

Answer:

i woluld say B 9.5 IN

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

45% of 80 = 36

Answer:

(4,-5)

Step-by-step explanation: