How to solve inequaities?

Answers

Answer 1
Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
But these things will change direction of the inequality:
Don't multiply or divide by a variable (unless you know it is always positive or always negative)

Related Questions

ALGEBRA 1 help please!! Urgent

Answers

 y = -9/10x + 5/3
9/10x + y = 5/3...multiply entire equation by common denominator 30
27x + 30y = 50 <==
27x+30y=50 is the equation written in standard form.

30/20=w/14 solve for w

Answers

Using cross multiplication,
30 x 14 = 20 x w
so
w = 420/20
w = 21

Which equation shows y=−1/2x+4 in standard form?
A. 2x+y=8
B. x+2y=8
C. x+2y=-8
D. 2x-y=8

Answers

Answer: B. x+2y=8

Explanation:

The original equation is:

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

The problem asks us to convert the equation in the standard form, so in the form

[tex]ax+by=c[/tex]

with a,b and c being integers.

In order to do that, first of all let's bring on the same side both x and y:

[tex]y+\frac{1}{2}x=4[/tex]

Now we want the coefficient in front of x to be an integer, so let's multiply each term by 2, and we get

[tex]2y+x=8[/tex]

and this corresponds to option B.

The equation that represents y = -1/2x + 4 in standard form is 2x + y = 8.

The equation that shows y = -1/2x + 4 in standard form is 2x + y = 8.

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The length of a rectangle is 3 inches more than twice its width, and its area is 65 square inches. What is the width?

If w=the width of the rectangle, which of the following expressions represents the length of the rectangle?

1. 2w+3
2. 2(w+3)
3. 3(2w)

Answers

That makes no sense, what DO you get?

The correct answer is, A, or question 1, or 2w + 3.

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What's the answer I don't know it

Answers

the answer is 45 degrees

It'a complementary angle, which adds up to 90 degrees. So when you subtract 45 from 90 degrees, you get 45 degrees as your result.

if x=y and y=2 then 3x=

Answers

I believe that the answer is 6. Feel free to check yourself but i think its 6
3x=3y=3*2=?
try urself and tell me the result

whats the inverse function of f(x)=3x-1

Answers

The inverse function would look like this: f^-1(x) = 1/3 + x/3

How many times does the graph of the function below intersect or touch the x-axis? y=-3x^2+x+4 ...?

Answers

when the graph touches x axis at that point y = 0

 So, putting y =0
  0 = -3x^2 + x +4
so, if you factoriazte it

−3x^2++4x−3x+4=0

−3x(x+1)+4(x+1)=0

(x+1)+(−3x+4)=0

x=−1,4/3

So, two time at -1 and 4/3 it touches the x-axid

Answer:

The answer is 2 times.


A triangle has three sides and a pentagon has five sides. true false

Answers

That would be a true statement.

What is the day 1,000,000 days from now?

Answers

From Today (Monday 21 November 2016) it will be Tuesday 19th October 4754
Final answer:

One million days from now would be roughly the year 3759 AD. The exact day and month would fall sometime in March or April due to the complexities of our modern calendar system.

Explanation:

To answer your question of what is the day 1,000,000 days from now, we'll need to do some calculations. There are approximately 365.25 days in a year (this includes the extra day every four years for leap years).  

1,000,000 divided by 365.25 equals approximately 2737.85 years. This means that 1,000,000 days from now it would be the year 3759 AD (assuming the current year is 2022).

As for the exact day, we'll consider that a year is made up of 365 days, and the .25 accounts for leap years. However, the calculation of the exact date and month is quite complex due to the irregularities in our Gregorian calendar. It would fall sometime in March or April of 3759 AD.

Note that this calculation does not consider minute changes in Earth's rotation over time or potential changes in our calendar system.

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minimize Q=x^2+2y^2, where x+y=3

Answers

Final answer:

To minimize the function Q=x^2+2y^2, substitute x=3-y and expand the expression. Use the vertex formula to find the minimum value of Q. The minimum value is 13.5 when x=1.5 and y=1.5.

Explanation:

To minimize the function Q=x^2+2y^2, where x+y=3, we can substitute x=3-y into the function to get Q=(3-y)^2+2y^2. Expanding this expression gives Q=9-6y+y^2+2y^2. Combining like terms, we have Q=3y^2-6y+9.

To find the minimum value of Q, we can use the vertex formula. The x-coordinate of the vertex of the parabola represented by Q=a(x-h)^2+k is x=-h. In our case, h=-(-3)/2=1.5. Substituting this value of x into the equation Q=3y^2-6y+9 gives Q=3(1.5)^2-6(1.5)+9=13.5-9+9=13.5.

Therefore, the minimum value of Q is 13.5 when x=1.5 and y=1.5.

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How do you simplify cscx*secx-tanx?

Answers

csc x · sec x - tan x = 
= 1 / sin x · 1 / cos x - sin x / cos x = 
= 1 / sinx cos x - sin² x / sin x cos x = 
= ( 1 - sin² x ) / (sin x cos x) =
=  cos² x / ( sin x cos x ) = 
= cos x / sin x = cot x 

What is the period of y = 5 cos x?

What is the period of y= cos 5x

Answers

Period of cos(Bx) is 2pi/B

first case, B = 1

Second case, B = 2

so period of 5*cos x is 2pi/1 = 2pi

period of cos 5x is 2pi/5

hope this help

How can an expression written in either radical form or rational exponent form be rewritten to fit the other form?

Answers

An expression when written in either radical form or rational exponent form be rewritten to fit the other form as well.

   

When we write in different forms the Denominator defines as the Index  and the Numerator defines as Power on the variable.

For Example:-

  We can write  [tex]4^{\frac{2}{3}[/tex]  as   [tex]\sqrt[3]{4^2}=\sqrt[3]{16}=\sqrt[3]{8*2}=2\sqrt[3]2}[/tex]

Again, vice versa,

For example:-

   We can write [tex]\sqrt[5]{x^4}[/tex] as [tex]x^{\frac{4}{5}[/tex]

Therefore , we can written in other forms as well to fit .

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To convert from radical form to rational exponent form, use [tex]\( \sqrt[n]{a} = a^{1/n} \),[/tex] and vice versa for conversion.

An expression written in radical form can be rewritten in rational exponent form and vice versa using the following conversions:

1. From Radical Form to Rational Exponent Form:

  - For a radical expression [tex]\( \sqrt[n]{a} \), where \( n \)[/tex] is the index and [tex]\( a \)[/tex] is the radicand:

  - The equivalent expression in rational exponent form is [tex]\( a^{1/n} \)[/tex].

2. From Rational Exponent Form to Radical Form:

  - For an expression [tex]\( a^{m/n} \)[/tex], where [tex]\( a \)[/tex] is the base, [tex]\( m \)[/tex] is the numerator, and [tex]\( n \)[/tex] is the denominator:

  - The equivalent expression in radical form is [tex]\( \sqrt[n]{a^m} \).[/tex]

These conversions allow us to switch between radical form and rational exponent form easily. It's important to remember that the index of the radical corresponds to the denominator of the rational exponent, and the exponent of the base corresponds to the numerator of the rational exponent.

Does 1/3 divided by 4 equal 1/12

Answers

yes that statement is correct

14/5 the fraction as a percentage

Answers

14/5 *100 = 2.8*100 = 280%

Answer:

The fraction 14/5 can be expressed as 280 percent.

Lynn and dawn tossed a coin 60 times and got heads 33 times what is the experimental probability of tossing heads using Lynn and dawns results

Answers

Answer: Experimental probability of tossing head is [tex]\frac{11}{20}[/tex]

Step-by-step explanation:

Since we have given that

Number of times Lynn tossed a coin = 60 times

Number of times head comes = 33

Experimental probability of tossing heads using Lynn and drawn results is given by

[tex]\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}\\\\=\frac{33}{60}\\\\=\frac{11}{20}[/tex]

Hence, Experimental probability of tossing head is [tex]\frac{11}{20}[/tex].

Answer:

experimental probability of tossing heads using Lynn and dawns results is [tex]\frac{11}{20}[/tex].

Step-by-step explanation:

Given :Lynn and dawn tossed a coin 60 times and got heads 33 times

To find : what is the experimental probability of tossing heads using Lynn and dawns results.

Solution : We have given that  

Number of times Lynn tossed a coin = 60 times.

Number of times head comes = 33.

 Probability of tossing heads using Lynn and drawn results is given by:

  = N[tex]\frac{number of favouable outcome }{total possible outcome}[/tex]

= [tex]\frac{33}{60}[/tex].

On simplification

=[tex]\frac{11}{20}[/tex].

Therefore, experimental probability of tossing heads using Lynn and dawns results is [tex]\frac{11}{20}[/tex].

plz help asap!!!! the perimeter of a rectangle is 200 cm. what is the length of the rectangle if the width is y cm?

Answers

y= 20
the length is 80 

What is the correct radical form of this expression? (32a^10b^5/2)^2/5

Answers

The answer is choice A and here's why

The 2/5 outer most exponent means that we can break it down into 2*(1/5). The 2 is going to apply as an exponent for the whole parenthesis group. The 1/5 indicates we have a 5th root (similar to a square root or cube root,but instead of 2 or 3, it's 5)

In essence, I'm saying that [tex]\LARGE x^{m/n} = \sqrt[n]{x^m}[/tex]

A salad bar offers 8 choices of toppings for lettuce. In how many ways can you choose 4 or 5 toppings? ...?

Answers

combinations 8C4 + 8C5 = 8*7*6*5 8*7*6 ------- + ---- 4*3*2*1 3*2*1 = 70 + 56 = 126
The solution to the problem is as folllows:

combinations 8C4 + 8C5


= 8*7*6*5 8*7*6

4*3*2*1 3*2*1 =

70 + 56

= 126


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Find the zeros of g(x)=x2+5x−24g

Answers

I'll assume the 'g' at the end is a typo and shouldn't be there. Set the right side equal to zero and solve for x

x^2+5x-24 = 0

(x+8)(x-3) = 0

x+8 = 0 or x-3 = 0

x = -8 or x = 3

The zeros or roots are x = -8 or x = 3
❀Hm, I'm pretty sure you should solve for g. If so, then the first step we would need to do is add 24g to both sides:
gx+24g=x^2−24g+5x+24g
gx+24g=x^2+5x
❀Now you are going to factor out variable g:
g(x+24)=x^2+5x
❀Finally divide both sides by x+24:
[tex] \frac{g(x+24)}{x+24 } = \frac{x^2+5x }{x+24 } [/tex]

❀Your answer is:
[tex]g= \frac{x^2+5x }{x+24 } [/tex]

❀Good Luck❀

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What is the length of leg y of the right triangle?

A right triangle with hypotenuse 37 and legs 35 and y

A) 2

B) 8

C) 12

D) 35


#2: Which of the following shows the length of the third side, in inches, of the triangle below?

A right triangle is shown. One side of the triangle is labeled as 25 inches. The height of the triangle is labeled as 15 inches.

A) 20 inches

B) Square root of 850 inches

C) Square root of 10 inches

D) 40 inches

Answers

I hope this helps you
a^2 + y^2 = c^2...where c is ur hypotenuse and a and b are ur legs
35^2 + y^2 = 37^2
y^2 = 37^2 - 35^2
y^2 = 1369 - 1225
y^2 = 144...take sqrt of both sides, eliminating the ^2
y = sqrt 144
y = 12 <===

a^2 + b^2 = c^2
15^2 + b^2 = 25^2
b^2 = 25^2 - 15^2
b^2 = 625 - 225
b^2 = 400
b = sqrt 400
b = 20 <===



A high school chorus has $1000 in its school account at the beginning of the year. They are putting on a fall concert to raise money for a trip later in the year. At the concert last year they sold tickets for $10 each. If they sell tickets at the same price the total amount in the chorus account can be represented by the linear function T = 10x + 1000. If they increase the ticket price to $15, how many tickets will they have to sell to have a total of $4000 in the account?

A) 100 tickets

B) 150 tickets

C) 200 tickets

D) 250 tickets

Answers

C. 4000-1000=3000/15=200

A(r) is a function that gives the area of a circle with radius r. It can be written in equation form as A(r) = 3.14r2. What is the value of A(3)? A(r) is a function that gives the area of a circle with radius r. It can be written in equation form as A(r) = 3.14r2. What is the value of A(3)?

Answers

I have a solution here wherein instead of A(3) it is A(4):


Plugging the numbers into the equation we get 4x4x3.14 which is 50.24

I hope you could use my method for solving the A(4) in solving the A(3)


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Given 9801 = 3x3x3x3x11x11 , find √9801 (square root i think) ...?

Answers

√9801 = 99

Is the root of 9801

Which of these transformations are isometries? The diagrams are not drawn to scale.

Answers

The answer is all 3 of them. Transformations are isometries if distance between all dots are maintained the same. Easier way of spotting these is to check if all angles and all sides of surfaces are the same as before.

First and second we flipped horizontaly while last one we flipped both verticaly and horizontaly but sides and angles remained the same.

Answer:

the answer is D. I, II, and III

Step-by-step explanation:

Trylon Eager took out an $85,000, 20-year term policy at age 40. The premium per $1,000 was $5.00. He will be 60 years old this year. The premium per $1,000 will be $5.90. The percent increase to the nearest whole number is ____%. (Enter only the number.)

Answers

So based on the given values above, it was given that the premium per $1,000 was $5.00 and now that he is 60 years old, the premium per $1,000 became $5.90. Therefore, the percent increase from $5.00 to $5.90 would be 18%. Hope this is the answer that you are looking for. 

The product of some negative number and 4 less than twice that number = 336. find the number

Answers

x^2-2x-168=0(x-14)(x-12)=0x=14 or -12since we want a negative number, -12-12 -28

For every problem-solving activity it's crucial that no less than five alternatives be considered.

True
False

Answers

Yes this is true. For every problem-solving activity it's crucial that no less than five alternatives be considered.

Problem-solving activity includes

1.Understanding the problem,that is nature of the problem, then Completely define in your own way.

2. Determining why this problem has accrued,

3.  Identifying the ways to solve the problem,

4. Prioritizing the given alternatives that is ways  and then arranging the alternatives for a solution,

5. Then applying the best solution or arrangement for the given problem.

There are two ways considered for  problem-solving activity

(1). Trial and Error  (2) Reduction in steps

It totally depends on the kind of problem , which you are solving. There may be Less than  five alternatives  ,equal to  five alternatives or more than  five alternatives to solve the problem.

Option B: False

find the HCF of 140,210,315

Answers

(On the far left, it says 140 at the top and then 5 to the left of 28)
The answer is 35, let me know if you can't read anything or have any questions. Hope this helped :)
it would be 35.

hope this helps you
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