Is 3 a solution of the inequality for b + 4 < 6?​

Answer:

The solutions are:

[tex]x=\frac{7-\sqrt{17}}{2},\:x=\frac{7+\sqrt{17}}{2}[/tex]

Step-by-step explanation:

Given the quadratic equation

-x² + 7x = 8

Solving using the quadratic formula

[tex]-x^2+7x=8[/tex]

Subtract 8 from both sides

[tex]-x^2+7x-8=8-8[/tex]

Simplify

[tex]-x^2+7x-8=0[/tex]

For a quadratic function of the form ax² + bx + c = 0, the solutions are:

[tex]x_{1,\:2}=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]

For a = -1, b = 7, c = -8

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{7^2-4\left(-1\right)\left(-8\right)}}{2\left(-1\right)}[/tex]

[tex]x_{1,\:2}=\frac{-7\pm \:\sqrt{49-32}}{2\left(-1\right)}[/tex]

[tex]x_{1,\:2}=\frac{-7\pm \sqrt{17}}{2\left(-1\right)}[/tex]

Separate the solutions

[tex]x_1=\frac{-7+\sqrt{17}}{2\left(-1\right)},\:x_2=\frac{-7-\sqrt{17}}{2\left(-1\right)}v[/tex]

solving

[tex]x_1=\frac{-7+\sqrt{17}}{2\left(-1\right)}[/tex]

   [tex]=\frac{-7+\sqrt{17}}{-2}[/tex]

Apply the fraction rule:  [tex]\frac{-a}{-b}=\frac{a}{b}[/tex]

i.e. [tex]-7+\sqrt{17}=-\left(7-\sqrt{17}\right)[/tex]

so

     [tex]=\frac{7-\sqrt{17}}{2}[/tex]

Similarly solving

[tex]x_2=\frac{-7-\sqrt{17}}{2\left(-1\right)}[/tex]

    [tex]=\frac{-7-\sqrt{17}}{-2\cdot \:1}[/tex]

Apply the fraction rule:  [tex]\frac{-a}{-b}=\frac{a}{b}[/tex]

i.e. [tex]-7-\sqrt{17}=-\left(7+ \sqrt{17}\right)[/tex]

    [tex]=\frac{7+\sqrt{17}}{2}[/tex]

Therefore, the solutions are:

[tex]x=\frac{7-\sqrt{17}}{2},\:x=\frac{7+\sqrt{17}}{2}[/tex]

A. It will be twice as much as because the height is increased by 2

Hey there!

Monte will need 9 packages of hot dogs.

To do this, we can first find the LCM.

To do this, first you find the prime factors of 20: 2 x 2 x 5

Then, you find the prime factors of 18: 2 x 3 x 3

Multiply each number by the greatest number it occurs:

2 x 2 x 3 x 3 x 5

And you get the LCM, 180. This means that you can get 180 total hot dogs and 180 total buns.

Then, divide that by the number of hot dogs in a package, to get the number of packages needed: 180/20 = 9

9 packages of hot dogs are needed.

Answer:

The answer is 35

Step-by-step explanation:

It wants to know how many basketball and baseball players there are. If there are 20 basketball players and the ratio is 4:3 then you need to divide the number of basketball players by 4 then multiply by 3. Add 20 to that number and the answer is C

Answer:

35

Step-by-step explanation:

I came up with 35 because 20/4= 5, so we are multiplying players by 5. Similarly, 3x5=15 for baseball players. 20 basketball players plus 15 baseball players is 35. I hope this helps!

Answer:

The budget for dances is $380

Step-by-step explanation:

If we know that the ratio between student government budget for dance and charity event is 5:7 this means that there is some amount of money that fits 5 times into the student government budget for dance and 7 times into the budget for the charity events. So in order to find what is the value of that among we divide $532.00 by 7, and then multiply that amount by 5 to get the budget for the dance events. So we do........

$532.00 / 7 x 5 = $76 x 5 = $380

[tex]\tt{ 3x:10=5:2 }[/tex] ⠀

[tex]\tt{\dfrac{3x}{10}=\dfrac{5}{2} }[/tex] ⠀

[tex]\tt{3x×2=10×5 }[/tex] ⠀

[tex]\tt{6x=50 }[/tex] ⠀

[tex]\tt{x=\dfrac{50}{6} }[/tex] ⠀

[tex]\tt{ x=\dfrac{25}{3}}[/tex] ⠀

Answer:

y = -2.5x

Step-by-step explanation:

The constant of variation = y/ x = 5/-2 = -2.5

Also -7.5 / 3 = -2.5

-10 /4 = -2.5 and so on

Answer:

Step-by-step explanation: D. None of the above

Answer:

the answer is: 3, 4

Step-by-step explanation:

those numbers meet in the circle where it supposed to go

Answer:

5 h+4.5

Step-by-step explanation:

I did on the test and got it right

Answer:

37

Step-by-step explanation:

(12x12)+(35x35)=ans

square root of ans

Answer:

5) 6cm 6)J

Step-by-step explanation:

5) 30/7.5=4

24/4=6

6) J=P

K=Q

L=R

M=S

Answer:

70 pages

Step-by-step explanation:

100%-30%=70%

70% of the book is 49 pages.

x is the total number of pages.

0.7x=49

7x=490

x=70

The total number of pages in the book is 70 if Joe has read 30% of the book and he has 49 more pages to finish.

It is defined as the ratio of two numbers expressed in the fraction of 100 parts. It is the measure to compare two data, the % sign is used to express the percentage.

We have:

Joe has read 30% of a book.

Remaining number of pages = 49

Let's suppose the total pages are x

The remaining % = 100% - 30% = 70%

[tex]\rm 70\% \ of \ x =40[/tex]

[tex]\rm \frac{70x}{100} =49[/tex]

x = 70 pages

Thus, the total number of pages in the book is 70 if Joe has read 30% of the book and he has 49 more pages to finish.

Learn more about the percentage here:

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Answer:

72 spheres are formed

Step-by-step explanation:

We start by calculating the volume of the metallic cylinder

Mathematically, we have this as;

V = pi * r^2 * h

V = pi * 21 * 14^2

V = 4116 π cm^3

The volume of each small sphere is;

V = 4/3 * pi * r^3

= 4/3 * π * 7/2^3 = 57.167 π cm^3

To get the number of small spheres, we simply divide the volumes

That will be 4116 pi / 57.167 pi = 72

Answer: Greater than

Step-by-step explanation: Because -20 is negative and that makes 8 greater than -20. Hope this helps <3

Answer: True

Step-by-step explanation:

Answer:

the answer is D. 5.6

Step-by-step explanation:

EVERYONE LISTEN!!!! PLEASE COPY THIS MESSAGE AND RESEND!!!!

If you know youdeservetodie (that is his brainly username) then report him please, he is sending hurtful comments and threatening my friends. Please all I need you to do is get this message out there, copy this message and tell everyone you know, This bully needs to be stopped!!

Answer: D) 5.6

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

use distribution property

Answer:

30

Step-by-step explanation:

30+2q=_ + 2q

Cancell 2q

So the answer is 30

Answer:

112

Step-by-step explanation:

234:2=117

117+5=122

--->234-122=112

Answer:

Abdullah is 46.8 years old.

Step-by-step explanation:

Umer is 5 years old and the product of their ages is 234 so that means Abdullah is 46.8 years old.

5*46.8 = 234

Answer:

I am not sure what are you trying to find.

If you are trying to find the third interior angle, it is 53.

If you are trying to find x, it is 34

Step-by-step explanation:

To Find X:

Using the Exterior Angle Theorem we know that

2x+59=127, minus 59 from both side

2x=68

x=34

To Find the third angle

Mark the third angle as G

Supplementary Angle tell us that A+B=180

G and the exterior angle is supplementary,

G+127=180 minus 127 from both side

G=53

Answer:

6/5

Step-by-step explanation:

120/100 =

12/10 =

6/5

Answer:

$595.34

Step-by-step explanation:

Step one

given data

interest rate of 2.5%= 0.025

final amount= $690

time = 6 years

Required

Principal P

Step two

The compound interest formula is

[tex]A= P(1+r)^t[/tex]

substitute

[tex]690=P(1+0.025)^6\\\\690=P(1.025)^6\\\\690=P1.159\\\\[/tex]

divide both sides by 1.159

P=690/1.159

P= $595.34

Answer:

590

Step-by-step explanation:

Answer from delta math

Noah needs 1.2 ounces of paint to cover 1 box.

What is simplification?

Simplify simply means to make it simple. In mathematics, simply or simplification is reducing the expression/fraction/problem in a simpler form. It makes the problem easily with calculations and solving.

Here, we have

Given: Noah is painting boxes that are all the same size, and I have used 2 ounces of paint to cover 1 2/3 boxes, to determine how many ounces of paint are needed to cover 1 box, the following calculation must be performed:

= 1.666 = 2

1 = X

2 / 1,666 = X

1.2 = X

Hence, Noah needs 1.2 ounces of paint to cover 1 box.

To learn more about the simplification from the given link

https://brainly.com/question/28595186

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answer : 240

you do 24 x 10 :)

Answer:

16

Step-by-step explanation:

128/8 = 16

n= 16

The value of n is equal to 16.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

WE are given an expression as;

8n = 128

We need to find the value of n.

8n = 128

n= 128/8 = 16

n= 16

Hence, the value of n is equal to 16.

To know more about an expression follow;

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Answer:

ab-2b^2+2a

I don't know if this is right, sorry if it's wrong.