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3 years ago

Solve the inequality 3>5-b

Mathematics

1 answer:

victus00 [196]3 years ago

5 0

Answer:

I'm pretty sure its b>2

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

3>−b+5

Step 2: Flip the equation.

−b+5<3

Step 3: Subtract 5 from both sides.

−b+5−5<3−5

−b<−2

Step 4: Divide both sides by -1.

-b/-1 < -2/-1

Answer:

b>2

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Thepotemich [5.8K]

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Suppose the closest point is at p=(x0,y0), and set q=(−2,−3). Then the tangent to the parabola at p is perpendicular to ℓ, the line through p,q. and we end up numerically computing the roots from here.

7 0

3 years ago

Divide x4 + 7 by x - 3.. A] x³ - 3x² - 9x - 27 R 88. B] x³ + 3x² + 9x - 27 R -74. C] x³ + 3x² + 9x + 27 R 88

Nastasia [14]

divide a polynomial p(x) by (x-3). Add and subtract the multiple of (x-3) that has the same highest-power term as p(x), then simplify to get a smaller-degree polynomial r(x) plus multiple of (x-3). 

The multiple of (x-3) that has x^4 as its leading term is x^3(x-3) = x^4 - 3x^3. So write: 

x^4 + 7 = x^4 + 7 + x^3(x - 3) - x^3(x - 3) 
= x^4 + 7 + x^3(x - 3) - x^4 + 3x^3 
= x^3(x - 3) + 3x^3 + 7 

That makes r(x) = 3x^3 + 7. Do the same thing to reduce r(x) by adding/subtracting 3x^2(x - 3) = 3x^3 - 9x^2: 

= x^3(x - 3) + 3x^3 + 7 + 3x^2(x - 3) - (3x^3 - 9x^2) 
= x^3(x - 3) + 3x^2(x - 3) + 9x^2 + 7 

Again to reduce 9x^2 + 7: 
= x^3(x - 3) + 3x^2(x - 3) + 9x^2 + 7 + 9x(x - 3) - (9x^2 - 27x) 
= x^3(x - 3) + 3x^2(x - 3) + 9x(x - 3) + 27x + 7 

And finally write 27x + 7 as 27(x - 3) + 88; 
x^4 + 7 = x^3(x - 3) + 3x^2(x - 3) + 9x(x - 3) + 27(x - 3) + 88 

Factor out (x - 3) in all but the +88 term: 
x^4 + 7 = (x - 3)(x^3 + 3x^2 + 9x + 27) + 88 

That means that: 
(x^4 + 7) / (x - 3) = x^3 + 3x^2 + 9x + 27 with a remainder of 88

3 0

3 years ago

Read 2 more answers

Help pls ❤️❤️❤️ I need help lol

erastova [34]

Answer:

It is impossible to write an 9dd number with even digits.

Just use logic

How can an even numbers pair and become an odd number

5 0

4 years ago

Read 2 more answers

leva [86]

Answer: The correct answer is:

______________

→ Choice: [C]: " $\frac{2}{1} * \frac{7}{-2}$ " .

______________

Step-by-step explanation:

______________

Note that this problem contains multiplication and division.

WIth multiplication and division;

the order of operations we perform is from "left side to right side" in the expression; in the order in which the operation occurs:

As such:

______________

The given problem:

______________

" $\frac{-3}{4} * \frac{7}{-2}$ ÷ $\frac{3}{-8}$ " ;

Is treated as:

______________

" $(\frac{-3}{4} * \frac{7}{-2})$ ÷ $\frac{3}{-8}$ " ;

______________

So, we start with:

______________

" $\frac{-3}{4} * \frac{7}{-2}$ " ;

______________

→ $\frac{-3}{4} * \frac{7}{-2} = \frac{(-3*7)}{[4*(-2) ]} = \frac{-21}{-8}$ ;

______________

Simplify:

______________

" $\frac{-21}{-8} = \frac{(-1)*21}{(-1) *8}$ " ;

______________

→ The "(-1)'s " cancel out:

{since: "(-1)/(-1) = 1 "} ;

→ And we have: " $\frac{21}{8}$ " ;

______________

Now, continue with the problem, and divide this value by: " $\frac{3}{-8}$ " ;

______________

" $\frac{21}{8}$ ÷ $\frac{3}{-8}$ " ;

______________

Note that dividing by a number is the same as multiplying by the reciprocal of that said number:

______________

The reciprocal of " $\frac{3}{-8}$ " ; is: " $\frac{-8}{3}$ : l

As such:

" $\frac{21}{8}$ ÷ $\frac{3}{-8}$ " ;

______________

= " $\frac{21}{8} * \frac{-8}{3}$ "

______________

Now, let us simplify:

Note: The "8" and the "-8" ;

The "8" can be changed to "1" ; and the "-8" can be changed to "-1" ;

since: "-8 ÷ 8 = 1 " ; and since: "8 ÷ 8 = 1 " ;

Note: The "3" and the "21" ;

The "3" can be changed to "1"; and the "21" can be changed to "7" ;

since: "21 ÷ 3 = 7 " ; and since: "3 ÷ 3 = 1 " ;

______________

And we can we rewrite the expression:

______________

→ " $\frac{7}{1} * \frac{-1}{1}$ " ;

which equals: " 7 * -1 " ; which equals " - 7 ".

______________

Now, the problem has 4 (four) answer choices. Which expression [i.e. which answer choice] is equal to: " -7 " ??

______________

Consider Choice [A]: " $\frac{1}{2} * \frac{7}{2}$ " ; which equals: " $\frac{(1*7)}{(2*2)} = \frac{7}{4} = 1\frac{3}{4}$ " ;

" $1\frac{3}{4} \neq -7$ ."

Rule out: "Choice [A]."

______________

Consider Choice: [B]: " $\frac{2}{1} * \frac{7}{2}$ " ; which equals: " $\frac{(2*7)}{(1*2)} = \frac{14}{2} = 7$ ; " $7\neq -7$ ."

Rule out: "Choice: [B]."

______________

Consider Choice: [C]: " $\frac{2}{1} * \frac{7}{-2}$ " ; which equals: " $-7$ ; " $-7 = -7$ ".

Choice [C]: seems correct!

______________

Consider Choice: [D]: " $\frac{-1}{2} * \frac{7}{-2}$ " ; which equals:

" $\frac{(-1*7)}{(2*-2)} = \frac{-7}{-4} = \frac{(-1)*7}{(-1)*4}$ ;

→ cancel out the "(-1)'s" ;

→ {since: "(-1) / (-1) = 1 " ;

to get:

→ " $\frac{7}{4}$ " ; which equals:

→ " $1\frac{3}{4}$ " ; " $1\frac{3}{4} \neq -7$ . "

Rule out: "Choice: [D]."

______________

The correct answer is:

______________

Choice: [C]: " $\frac{2}{1} * \frac{7}{-2}$ " .

______________

Hope this is helpful to you!

Wishing you the best!

______________

4 0

3 years ago

You decided to gather some information for how many days it rained over a period of time. You observed that it rained on 17 days

Alexxx [7]

The correct answer is 17: 30

Explanation:

The purpose of a ratio is to express the relationship between two elements in terms of quantities. For example, if there are 5 oranges and 4 lemons the ratio is 5 to 4. Additionally, this relationship between the quantities of two different things can be expressed as a fraction, by using a colon (:) or by using the word "to." In the last two cases, the colon or word "to" separate the two amounts compared.

In the case presented, the total of days observed was 30 days (17 days with rain + 13 days with no rain) and the ratio of rainy days to the total of days can be expressed as 17:30, $\frac{17}{30}$ or as 17 to 30, considering there were 17 rainy days out of a total of 30 days.

3 0

4 years ago