What are three solutions of the inequality 29x+4<76?

Answer:

Step-by-step explanation:

The equation ...

  (x -h)² = 4p(y -k)

is the equation of a parabola with vertex (h, k) and vertex-focus distance of p. When p is negative (as here), it means the focus is below the vertex, and the parabola opens downward. The directrix is p units on the other side of the vertex from the focus.

The vertex for equation ...

  (x -4)² = -12(y +1)

is (h, k) = (4, -1). The value of p is (-12/4) = -3, so the focus is (4, -1-3) = (4, -4), and the directrix is y = -1+3 = 2.

_____

Additional comment

As a check on the graph, you can remember that any point on the parabola is equidistant from the focus and directrix. You will notice the vertex is halfway between the focus and directrix, so you know that relationship is true there.

You will also notice that a horizontal line from the focus to the parabola intersects the same distance away from the focus as from the directrix. Thus the parabola distance relation holds at that point as well.

Answer 2019 /0.0047   /2014/  0.493

Step-by-step explanation:

The percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

A percentage is a portion of a whole that is stated as a number between 0 and 100 as opposed to being expressed as a fraction.

The percentages of everything are 100%, nothing is 0%, 50% of something is 50%, and nothing is 0%.

Given:

In 2019, the average full-time worker in the U.S. spent `8.5` hours working each workday.

This is an increase on the average of `8.1` hours per workday in 2014.

So, Percent change =  (Final value - initial value) / initial value x 100

Percent change = 8.5 - 8.1 / 8.1 x 100

Percent change = 4.93%

Thus, the percent change in average full-time worker in the U.S from 2014 to 2019 is 4.93%.

Learn more about the percent change here:

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Answer:

Yes. All real numbers are either rational or irrational.

Step-by-step explanation:

The set of all irrational numbers is commonly defined as the set of all real numbers that are not rational.

Let [tex]\mathbb{R}[/tex] denote the set of all real numbers. Let [tex]\mathbb{Q}[/tex] denote the set of all rational numbers.

For any given real number [tex]x[/tex] ([tex]x \in \mathbb{R}[/tex],) either [tex]x\![/tex] is rational ([tex]x \in \mathbb{Q}[/tex]) or [tex]x\!\![/tex] isn't rational ([tex]\lnot (x \in \mathbb{Q})[/tex], such that [tex]x \not\in \mathbb{Q}[/tex] and thus [tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex].)

Assume that [tex]x[/tex] isn't a rational number. By the definition of rational numbers, since [tex]x\!\![/tex] is a real number but not a rational number ([tex]x \in (\mathbb{R} \backslash \mathbb{Q})[/tex],) [tex]x\![/tex] would be an irrational number.

Therefore, either [tex]x[/tex] is rational or [tex]x\![/tex] is irrational. Every real number would either be rational or irrational.

Answer: 1/7

Step-by-step explanation:

You can add 4+5+3+2 to get 14, and 2/14 can be simplified to 1/7

Answer:

3

Step-by-step explanation:

7-4=3

Answer:

He has three!

Step-by-step explanation:

7-4=3 so manuel needs three more gallons! Hope this helps! :)

Answer:

y=3x+4 I think I am correct hola amigo señorita a person in my class is called adiola adiola adiola hah

Answer:

Its inconsistent

Step-by-step explanation:

If you are doing 5.11 Unit Test: Systems of Equations - Part 1 from K12, this is your answer

The graphs of the lines do not intersect, so the graphs are parallel and there is no solution. Since there are no solutions, its inconsistent.

If it has at least ONE solution, its consistent.

If it has EXACTLY ONE solution, its consistent in dependable

If it has INFINITE AMOUNT of solutions, its consistent dependable

Answer:

7/20

Step-by-step explanation:

Answer: if you calculate math yo7 would get 7/20

Step-by-step explanation:

Answer:

x ≈ 7.1

Step-by-step explanation:

Using the cosine ratio in the right triangle.

cos27° = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{KL}{KM}[/tex] = [tex]\frac{6.3}{X}[/tex] ( multiply both sides by x )

x × cos27° = 6.3 ( divide both sides by cos27° )

x = [tex]\frac{6.3}{cos27}[/tex] ≈ 7.1 ( to the nearest tenth )

[tex]\frac{1}{2}x +8=7+\frac{1}{2}x <=>\frac{1}{2}x -\frac{1}{2}x =7-8<=>0x=-1[/tex] (no solution)

P/s:    [tex]\frac{1}{2}x +8\neq 7+\frac{1}{2}x[/tex]

Ok done. Thank to me :>

Answer:

y > 3x - 4

Step-by-step explanation:

lmk if you want an explanation

The smallest possible value of x is the value less than 2/3

Given the series [tex]$\frac{1}{2} + \frac{1}{3} + \ldots +\frac{1}{x} > 1\frac{1}{2}$[/tex]

We need to find the smallest possible value of x as shown:

[tex]\frac{1}{x} > 1\frac{1}{2}\\ \frac{1}{x} > \frac{3}{2}\\[/tex]

Reciprocate both sides

[tex]x < \frac{2}{3}[/tex]

Hence the smallest possible value of x is the value less than 2/3

Learn more on inequality here: https://brainly.com/question/4192645

Answer:x=7

Step-by-step explanation:

Answer:

It's C

Step-by-step explanation:

You can just use simple resoning to solve this. If the orginal dress cost three times as much as the dress on sale. Then the dress on sale would cost three times as less as the original dress. Let me know if i'm wrong tho

Answer:

y=1.25x+5

Step-by-step explanation:

The equation has one extraneous solution which is n ≈ 2.38450287.

Given that,

The equation;

[tex]\dfrac{9}{n^2+1} =\dfrac{n+3}{4}[/tex]

We have to find,

How many extraneous solutions does the equation?

According to the question,

An extraneous solution is a solution value of the variable in the equations, that is found by solving the given equation algebraically but it is not a solution of the given equation.

To solve the equation cross multiplication process is applied following all the steps given below.

[tex]\rm \dfrac{9}{n^2+1} =\dfrac{n+3}{4}\\\\9 (4) = (n+3) (n^2+1)\\\\36 = n(n^2+1) + 3 (n^2+1)\\\\36 = n^3+ n + 3n^2+3\\\\n^3+ n + 3n^2+3 - 36=0\\\\n^3+ 3n^2+n -33=0\\[/tex]

The roots (zeros) are the  x  values where the graph intersects the x-axis. To find the roots (zeros), replace  y

with  0  and solve for  x. The graph of the equation is attached.

n  ≈  2.38450287

Hence, The equation has one extraneous solution which is n  ≈  2.38450287

For more information refer to the link.

https://brainly.com/question/15070282

Answer:

$500

Step-by-step explanation:

what I did was find the diffrence in 2002 and 2008 and its 6 and the difference between $200 and $350 its 150 so now you find the difference between 2008 and 2020 its 12 thats 2 times more than 6 so you need to do the same to the money and add 150 to 350 and its 500.

2002 - 2008 = 6       2008 - 2020 = 12

$200 - $350 = 150    $350 + 150 = $500

Answer:

Excuse me but there doesn't seem to be a question here, please let me know if there is so I can help you

Step-by-step explanation:

Have a great rest of your day

#Nova

Answer:

$138

Step-by-step explanation:

120 · 0.15 = 18

120 + 18 = 138

Answer:

3 hours 38 minutes is what calculators online say

Step-by-step explanation:

Answer:

Step-by-step explanation:

6 miles / 30 minutes = 0.2 miles /minutes

Answer:

then u suck at lif

Step-by-step explanation:

Get betta then yk

Have a good day bro cya)

Step-by-step explanation:

The standard form of linear equation:

Convert each equation into standard form:

Answer:

The opposite of -11 is 11, and I dont understand what else you're asking

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

84 / 0.75 = 112

112 x 0.75 = 84

Answer:

Its A

Step-by-step explanation:

Answer:

a box of 10 balls for $9?

Step-by-step explanation:

because u buy 10 tennis balls for 9 dollars and the first one is not true

becuase u buy 3 balls of tennis with 3 dollars and the last answer is right

becuase you buy 10 balls for 9 that means its 1 dollar less for 10 balls

hope it helps

Answer:

C

Step-by-step explanation:

Answer: 9 is incorrect the anwser is acactually D . The square root of 58

Step-by-step explanation:

Answer: 1.25 problems/min

32 minutes --> 40 problems

1 minute --> 40/32

                --> 1.25