Solve the following inequalities a) algebraically AND b) graphically.

19) X2 - X - 6 > 0
20) x2-2x - 5 > 3
21) x2 - 4x < 0

Answers

Answer 1

Answer:

Step-by-step explanation:

2x-x-5


Related Questions

If A = {1, 2, 3} and B = {1, 2, 2, 3}, is B ⊆ A? If so, is A = B?

Answers

Answer:

yes, yes

Step-by-step explanation:

B={1,2,3} it doesn't matter if it has ten 2's or one!

so A=B and A⊆B

b. Simplify (1-3) (⅓+√3), leaving your answer in the form P+Q√3

Answers

Answer:

6

Step-by-step explanation:

Find the area of a circle with a diameter of 20 inches. Use 3.14 for pi

Answers

Answer:

The area of the circle is 314 inches

Step-by-step explanation:

Area if a circle = πr²

r = radius

r= d/2

r=20 /2

r=10 inches

Area =3.14×10²

= 3.14×100

=314 inches

Answer:

314 in. cubed

Step-by-step explanation:

The formula to find the area of a circle is:

A= πr²

Pi is 3.14 so substitute that in

A= 3.14(r)²

The radius is 10 because the radius is half of the diameter.  Half of 20 is 10.  So substitute that in the radius symbol.

A= 3.14(10)²

Square 10, which is 10 times 10.  10 times 10 equals 100.

A= 3.14(100)

100 times 3.14 is 314 because 100 has two zeroes which means you move the decimal point in 3.14 two places to the right.  It gets you 314.0 which is just 314.

A= 314

Which of the following statements contains a quotient?
A. 7 + 6 = 13
B. 7 - 6 = 1
C. 42 : 6 = 7
D. 7 x6 = 42

Answers

Answer:

C is a quotient

Step-by-step explanation:

quotient it the number you get from equally dividing a number

Answer is C. A-13 would be the sum of the equation. B-1 would be the difference for that subtraction. Quotient is the result of the division which in this case it will be C. D-42 is the product.

How many solutions does the system have?

Answers

Answer:

Infinitely many solutions.

You basically have just one equation.

The top equation is the bottom equation times 5.

Step-by-step explanation:

Answer: C. Infinite many solution

Step-by-step explanation:

#1 simplify the first equation: 20x-5y=5

since the GCF in it is 5, we factor out 5

                   4x-y=1

#2 compare the first and the second equation

                     [tex]\left \{ {{4x-y=1} \atop {4x-y=1}} \right.[/tex]

we can see that both equation are same, which means they present the same line.

Thus, they overlap and they have infinite many solution

Help needed ASAP will give brainliest.

Answers

Answer:

0.22, 15%, 1/7, 12%, 1/9

Step-by-step explanation:

Showing all given numbers in decimal form rounded to hundredths:

12% = 0.121/9 = 0.110.221/7 = 0.1415%= 0.15

Putting them in the order from the greatest to least:

0.22, 0.15, 0.14, 0.12, 0.11

Same order with original numbers:

0.22, 15%, 1/7, 12%, 1/9

Matching with answer choices:

The third one from the top or C is the correct choice

six times the difference of x and 22

Answers

Answer:

6(x-22) or 6x-132

Step-by-step explanation:

translate into english : it says 6 times difference of x and 22, so you would need to do the subtraction first before you multiply by 6 which you get 6(x-22)!

Answer:

-4

Step-by-step explanation:

6*x-22

keep 6x on the LHS and -22 on the RHS

leave x in LHS and divide -22 with 6 on the RHS

the answer will come -4

x sqrt 5xy^4 + sqrt 405x^3y^4-sqrt 80x^3y^4

Answers

Answer:

the three terms can be combined and reduce to:

[tex]6\,x\,y^2\,\sqrt{5\,x}[/tex]

Step-by-step explanation:

Start by extracting all perfect square factors from the square root in order to simplify the terms:

First term:  [tex]x\,\sqrt{5\,x\,y^4}=x\,y^2\,\sqrt{5\,x}[/tex]

Second term:  [tex]\sqrt{405\,x^3\,y^4} =\sqrt{3^4\,\,5\,\,x^2\,\,x\,y^2\,y^2} =9\,x\,y^2\,\sqrt{5\,x}[/tex]

Third term:  [tex]-\sqrt{80\,x^3\,y^4} =-\sqrt{2^4\,\,5\,x\,x^2\,y^2\,y^2} =-4\,x\,y^2\,\sqrt{5\,x}[/tex]

Notice that all of the terms are like terms (contain the same radical part and variable part) so they can be combined:

[tex]\,x\,y^2\,\sqrt{5\,x}+9\,x\,y^2\,\sqrt{5\,x}-4\,x\,y^2\,\sqrt{5\,x}= 6\,x\,y^2\,\sqrt{5\,x}[/tex]

Answer: b on edge2021 6xy^2sqrt 5x

Step-by-step explanation: its on edge and yeah...like me up pls and thank you!

please help :) Write the number shown in standard notation. 6.6 x 10 to the 5 power A. 6,600 B. 660,000 C. 66,000 D. 6,600,000

Answers

Answer: Hi!

The equation given is 6.6 * 10^5.

First, we will solve the exponent.

10^5 = 100,000

Next, we will multiply 100,000 by 6.6.

100,000 * 6.6 = 660,000

Therefore, your answer is b), 660,000.

Hope this helps!

URGENT!!!!! In a class of students, the following data table summarizes how many students have a
brother or a sister. What is the probability that a student chosen randomly from the
class does not have a sister?
Has a brother 5
Does not have a brother 2
Has a sister 12
Does not have a sister 11

Answers

Answer:

i think its 0.43 but im not sure i hope this helps

Step-by-step explanation:

Answer:13/29

Step-by-step explanation:

\text{Fill out totals:}

Fill out totals:

Has a brother Does not have a brother Total

Has a sister 7 14 21

Does not have a sister 6 2 8

Total 13 16 29

\text{Number of students with a brother: 13}

Number of students with a brother: 13

\text{Number of students in the class: 29}

Number of students in the class: 29

\text{Probability: }\frac{13}{29}

Probability:  

29

13

The graph of a function is shown below. What is the range?
A.) {1,2,3,4}
B.) All Real Numbers
C.) {1,2,4}
D.) {1,2,3,5}

Answers

Answer:

C) {1, 2, 4}

Step-by-step explanation:

The coordinates of the point (x, y).

x is in the DOMAIN

y is in the RANGE

From the graph we have the points

(1, 2) → x = 1, y = 2

(2, 1) → x = 2, y = 1

(3, 4) → x = 3, y = 4

(5, 2) → x = 5, y = 2

DOMAIN = {1, 2, 3, 5}

RANGE = { 1, 2, 4}

/we only take the repeating element once/

The dot plots below show the scores for a group of students for two rounds of a quiz: Which of the following inferences can be made using the dot plots? The range of round 2 is greater than the round 1 range. Round 2 scores are higher than round 1 scores. Round 1 scores are lower than round 2 scores. There is no overlap between the data.

Answers

Answer: Choice A) round 2 has larger range

===================================================

Explanation:

Choice A is true. The range is the difference of the max and min. Round 1 has a range of 5-4 = 1, while round 2's range is 5-1 = 4. Round 2 has a larger range of scores. We don't really need to do any kind of math here. We can simply spot that round 2 has its dots more spread out compared to round 1, so round 2 must have the larger range.Choice B is somewhat true. If we compare a score of 4 in round 1 to a score of 5 in round 2, then round 2 has a higher score. But we could easily flip things around. So saying one round has higher scores than the other is not particularly meaningful in this scenario. I would say it all depends on how you phrase the problem carefully. In any event, I would say that choice B is false since we can't definitively say it's true.Choice C is a similar story as choice B, just flip things around. So I'd say this is false too. We would need all of the dots of round 1 to be to the left of all the dots of round 2, in order for choice C to be a true statement. Because there's overlap, we run into a problem. Choice D is false because there is overlap for scores 4 and 5. In other words, both dot plots have dots over "4" and over "5". These are the scores the dot plots share in common.

3.
Which of the following equations does not have a real solution?
(A) x + x = 1
(B) x + x=0
(C) x*x=0
(D) x*x=-1

Answers

Answer:

I think the right answer is d

Answer:

The last equation (D): doesn't have a real solution

Step-by-step explanation:

Notice that equation A has for solution x = 1/2

Equation B has for solution x = 0

Equation C has for solution x = 0

There is no real number that multiplied by itself can render a negative value.

if 2x^2+2x=12, what is x?

Answers

Answer:

x= 2

x= -3

Step-by-step explanation:

Solving as normal quadratic equation:

2x^2+2x=12x^2 +x = 6x^2 + x - 6= 0x = (-1 ± √(1+4*1*6)/2 x = ( - 1 ± √25)/2 x = (-1 ± 5)/2x= 2x= -3

Roots are 2 and -3

Answer:

x = - 3 or x = 2

Step-by-step explanation:

2x² + 2x - 12 = 0

Divide all the terms by 2 to simplify the terms

That's

x² + x - 6 = 0

Write x as a difference

That's

x² + 3x - 2x - 6 = 0

Factor x out of the equation

That's

x( x + 3) - 2x - 6 = 0

Factor out - 2 from the expression

x(x + 3) - 2( x + 3) = 0

Factor out x + 3 from the expression

That's

( x + 3)(x - 2) = 0

x + 3 = 0 x - 2 = 0

x = - 3 x = 2

Hope this helps you

kevin has 70 cents in his pocket. one coin is a quarter, and the others are nickels. how many nickels does he have?

Answers

He would have 9 nickels

Answer:

Step-by-step explanation:

25 +5+5+5+5+5+5+5+5+5=70

Answer: 9nickels

A football field measures 300 feet in length. It can also be expressed as approximately 5.7 times 10 Superscript n miles. If there are 5,280 feet in 1 mile, which is the most reasonable value of n? Negative 3 Negative 2 2 3

Answers

Answer:

-2

Step-by-step explanation:

300 ft * (1 mile)/(5280 ft) = 0.057 miles = 5.7 * 10^-2 miles

Answer:

The answer is b

Step-by-step explanation:

A number minus 4 equals 19. Which equation fits this statement?
A 4-X=19
BX-4 = 19
C 4 = X-19
D 19 - X=4

Answers

B is ur answer because a number= x minus= - 4 = 19 so ur answer will be B

A tree is broken at a height of 5 meters from the ground and it's top touches the ground existence of 12 m from the base of the tree find the original height of the tree

Answers

Answer:

18 m

Step-by-step explanation:

The given situation is equivalent to a right angled triangle as shown in the diagram attached.

AB is the height at which tree was cut.

And the top touches the ground at a point C.

So,

AB = 5 m and

AC = 12 m

Here, we have to find original height of the tree.

Original height of Tree = AB + BC OR AB + BC' (Because B is the point in height AC' of tree)

Let us consider the [tex]\triangle ABC[/tex].

As per pythagorean theorem:

[tex]\text{Hypotenuse}^{2} = \text{Base}^{2} + \text{Perpendicular}^{2}\\\Rightarrow BC^{2} = AB^{2} + AC^{2}\\\Rightarrow BC ^2=5^2+12^2\\\Rightarrow BC = \sqrt{169}\\\Rightarrow BC = 13\ m[/tex]

Therefore the answer is :

Height of tree = 5+13 = 18 m

evaluate given: x=2 & y=6 8-4x+5y

Answers

Answer:

30

Step-by-step explanation:

We are given the expression:

[tex]8-4x+5y[/tex]

and asked to evaluate given x=2 and y=6.

Therefore, we must substitute 2 for x and 6 for y.

[tex]8-4(2)+5(6)[/tex]

Solve according to PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, and Subtraction.

Multiply 4 and 2.

4*2= 8

[tex]8-8+5(6)[/tex]

Multiply 5 and 6.

5*6=30

[tex]8-8+30[/tex]

Subtract 8 from 8.

8-8=0

[tex]0+30[/tex]

Add 0 and 30.

[tex]30[/tex]

The expression 8-4x+5y when evaluated at x=2 and y=6 is equal to 30.

Calculate the area of this diagram

Answers

[tex]A=\frac{1}{2}\cdot a\cdot b\cdot \sin\angle AB\\\\A=\frac{1}{2}\cdot6\cdot6\cdot\sin38^\circ\\\\A=18\cdot0.616\\\\\boxed{A=11.0819}[/tex]

6=2(y+2) what does y equal ?

Answers

Answer:

1

Step-by-step explanation:

1. expand the terms on the right side of the equation: 6=2y+4

2. subtract 4 from both side: 2=2y

3. divide both side by 2: 1=y

Answer:

y=1

Step-by-step explanation:

2(y+2)=6

2y+4=6

2y=6-4

2y=2

y=2/2

y=1

Jane is saving to buy a cell phone

$35 a month from her allowance

Does it make sense to represent to

and the number of months with a

your answer.

She is given a $100 gift to start and saves

after 1 month, Jane has saved $135.Does it make sense to represent the relationship between the amount saved

ne constant rate? Why or why not? Explain.

Answers

Answer:

She saves the same amount of money, it doesn't make sense to represent the amount saved and number of months with one constant rate.

Step-by-step explanation:

Because the se amount is saved every month, it makes ot linear, and then unnecessary to represent the amount saved and the number of months with one constant rate.

Find the least number which should be subtracted from 500 to make it a perfect square​

Answers

Answer: 16

Step-by-step explanation:

A perfect square is basically some number multiplied by itself. For example, 4 is a perfect square because 2x2=4.

22 x 22 = 484 (under 500)

23 x 23 = 529 (over 500)

Therefore, the perfect square must be 484.

Subtract 484 from 500:

500 - 484 = 16

16 is the answer :)

Two students were asked to use estimation strategies to find a reasonable solution to this question: Darrell has $1,990 saved and wants to buy a motorcycle. He earns $10 per hour and he works for 39 hours. Estimate how much money, Darrell has left after buying a $2,200 motorcycle. From the choices below, select the student with a more reasonable solution.

Answers

Answer:

1990+(10h)-2200

or

1990+(10x39)-2200

Step-by-step explanation:

he already has 1990

He earns $10 per hour

he works for 39 hours

$2,200 needed for a motorcycle

1990+(10h)-2200

or

1990+(10x39)-2200

A store polled its customers about the fit of jeans they preferred. the two-way frequency table shows the result of the poll.

Answers

doing this because its already answered and I need points. But to be safe, Itds the second option going to the right. (aka the top right option)

Step-by-step explanation:

The two-way frequency table shows the result of the poll is in  option "B".

What is frequency table?

Frequency refers to the number of times an event or a value occurs. A frequency table is a table that lists items and shows the number of times the items occur.

According to the question

A store polled its customers about the fit of jeans they preferred.

The two-way frequency table shows the result of the poll.  

As the frequency table have 4 columns and 3 rows

In which  columns have : Regular , Slim , Bootcut , Total

In which rows have : Male , Female ,Total

To check which option is correct we will check whether total is correct for column is row or not

Option A  :

This option is incorrect

1st column is not correct as total should be 1 but it is 0.5 .

Option B:

This option is correct as total is correct for column and row .

Option C:

This option is incorrect as total of column Bootcut is not correct .

Option D:

This option is incorrect as total of  all columns are incorrect .

Hence, the two-way frequency table shows the result of the poll is in  option "B".

To know more about  frequency table here:

https://brainly.com/question/12576014

#SPJ3

what fraction is equivlant to 2/6

Answers

Answer:

1/3

Step-by-step explanation:

The simplest form of 2/6 is 1/3. You can do 2/6*.5/.5 to get 1/3

You can do other fractions such as 4/12, 8/24, as long as it the numerator maintains a ratio of 1:3

1/3 is the smallest ratio equal to 2/6 but you can also go higher with ratios such as 200/600 but you have to keep the same ratio of 1/3

What is -2x + 5x + 4s

Answers

Answer: 3x + 4s
Hope this helps!

A consignment of fodder can feed 1000 sheep
20 days. Assuming that all the sheep consume
fodder at the same rate, how many consignmen
of fodder are needed to feed 550 sheep for 400 days? ​

Answers

Answer: 11 consignmen

Step-by-step explanation:

Given that a consignment of fodder can feed 1000 sheep 20 days. Assuming that all the sheep consume

fodder at the same rate, then

1000 × 20 = 20000 for 1 consignment

to feed 550 sheep for 400 days, that is

550 × 400 = 220000

The consignment that will be needed will be

220000 / 20000 = 11

Therefore, 11 consignment  fodder are needed to feed 550 sheep for 400 days.

For one of their science experiments students needed 10 1/2 liters of water. If there were 7 groups
doing the same experiment, how much water did they need for all of the groups?

Answers

Answer:

73.5 liters of water

Step-by-step explanation:

10 1/2× 7= 73.5

The amount of water that they need for all of the groups will be 73.5 liters.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

For one of their scientific tests, understudies required 10 ¹/₂ liters of water. Assuming there were 7 gatherings doing likewise analysis.

The amount of water that they need for all of the groups will be calculated as,

⇒ (10 ¹/₂) x 7

Simplify the expression, then we have

⇒ (10 ¹/₂) x 7

⇒ (10 + ¹/₂) x 7

⇒ (21/2) x 7

⇒ 147/2

⇒ 73.5 liters

The amount of water that they need for the gatherings will be all 73.5 liters.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

translating verbal expression: 1/2 of a m​

Answers

Answer: (1/2) m

Step-by-step explanation:

1/2 of a m=(1/2) m

If you want to make it more comprehensive, I am going to provide you with some examples

1/2 of 8=1/2(8)=41/2 of 40=1/2(40)=20

Applying [m] goes with the same pattern

Hope this helps!! :)

Please let me know if you have any question

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