This is algebra 1

Determine if (2,4) is a solution to this inequality: y < 2x + 2. Explain your reasoning.

Answers

Answer 1

Answer:

Yes

Step-by-step explanation:

To check if (2,4) is a solution to the inequality, y<2x+2, substitute the values of x and y in the inequality and see if it holds good for those values

y=4, x=2

Let's see if 4<2*2+2 => 4<4+2 => 4<6

And the inequality is true. So, (2,4) is a solution to this inequality

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Algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. Graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore (1, -5) is not a solution to the given system of inequalities.


Related Questions

Which rule best describes this transformation

Answers

Answer:

B

Step-by-step explanation:

The distribution of durations for which apartments remain empty after the resident moves out for one property management company over the past 10 1010 years was approximately normal with mean μ = 85 μ=85mu, equals, 85 days and standard deviation σ = 29 σ=29sigma, equals, 29 days. The property management company tags the files of the apartments that were empty for the shortest 5 % 5%5, percent of durations to have priority cleaning the next time their residents move out

Answers

A part of the question is missing which is;

What is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances? Round to the nearest whole number.

Answer:

133 days

Step-by-step explanation:

We are given;

Population mean; μ = 85 days Population standard deviation; σ = 29 days

significance level; α = 5% = 0.05

Critical value of z at significance level of 0.05 = 1.645

Now, formula for z-score is;

z = (x - μ)/σ

Where x is the minimum duration for which an apartment remained empty for the company to update the kitchen appliances.

1.645 = (x - 85)/29

(1.645 × 29) = x - 85

47.705 = x - 85

x = 85 + 47.705

x = 132.705

x ≈ 133 days

Answer: 37 days

Step-by-step explanation:

This is due today and I need some help please

Answers

Answer:

B

Step-by-step explanation:

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice.

Answers

Complete Question

Christine has always been weak in mathematics. Based on her performance prior to the final exam in Calculus, there is a 42% chance that she will fail the course if she does not have a tutor. With a tutor, her probability of failing decreases to 12%. There is only a 52% chance that she will find a tutor at such short notice

a What is the probability that Christine fails the course

b Christine ends up failing the course. What is the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability

Answer:

a

   [tex]P(F) =   0.264[/tex]

b

[tex]P(T | F ) = 0.23636 [/tex]

Step-by-step explanation:

From the question we are told that

The probability that Christine will fail the course if she does not have a tutor is [tex]P(F| T') = 0.42[/tex]

The probability that Christine will fail the course if she has a tutor is [tex]P(F| T) = 0.12[/tex]

The probability that she will find a tutor is [tex]P(T) = 0.52[/tex]

Generally the probability that she will not find a tutor is

[tex]P(T') = 1 - 0.52[/tex]

=> [tex]P(T') = 0.48[/tex]

Generally the probability of failing the course is

[tex]P(F) = P(F \ n \ T) + P(F \ n \ T')[/tex]

=> [tex]P(F) = P(F| T) * P(T) + P(A | T') * P(T')[/tex]

=> [tex]P(F) = 0.12 * 0.52 + 0.42* 0.48[/tex]

=> [tex]P(F) = 0.264[/tex]

Generally if Christine ends up failing the course the probability that she had found a tutor? (Round your answer to 4 decimal places.) Probability is mathematically represented as

[tex]P(T | F ) = \frac{ P(F | T) * P(T)}{ P(F)}[/tex]

=> [tex]P(T | F ) = \frac{ 0.12 * 0.52}{ 0.264}[/tex]

=> [tex]P(T | F ) = 0.23636 [/tex]

It’s asking to write an equation of the line with a slope...please help!!

Answers

Answer:

y = -3/4x - 6

Step-by-step explanation:

Use y-intercept (0, -6) and slope -3/4 and put into y=mx+b form to solve for b

Remember that m is also known as slope!

-6=(-3/4 * 0) + b

b= -6

y= -3/4x - 6

6 bottles of shampoo cost $3.60. What is the unit price for

Answers

Answer:

$1.67

Step-by-step explanation:

6 divided by $3.60 = $1.67

It’s a test question.

Answers

Answer:

A # is odd

Step-by-step explanation:

Hypothesis-----> conclusion

Yes I need help with x question and please check if my other answers are correct

Answers

b.

It snows 2 inches every hour so for x hours it will be x×2 inches

The equation:  y = 2x

So for x hours we have 2x inches of snow

c.

x = 24, so y = 2×24 = 48

It will fall 48 inches of snow

Which expression has a value of 60?

360 ÷ 60
3,600 ÷ 6
3,600 ÷ 60
3,600 ÷ 600

Answers

Answer:

3,600/60

Step-by-step explanation:

9^4 x 9^5=9 to the power of what

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Answer:

9⁹

Step-by-step explanation:

Hi there !

9⁴ ₓ 9⁵ = 9⁴⁺⁵ = 9⁹

Good luck !

(2/3) × (-6) × 5

please help me solve and show work​

Answers

Answer:

-20

Step-by-step explanation:

Use PEMDAS

[tex]\frac 2 3 * -6 * 5\\\frac 2 3*-30\\\frac {-60}{3}\\-20[/tex]

Four movie tickets cost $40.00 dollars( look above for the rest of the question plss answer fast

Answers

Answer:

-7.5 US$

Step-by-step explanation:

that's how i got it =)

Answer: The answer is B

Step-by-step explanation:

Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.

Answers

Slope = rise/run
Slope= -8/16
Slope = -1/2

9e^2x - 30e^x + 25 = 0



Please I need a step by step solution urgently ​

Answers

Answer:

Here you go

Step-by-step explanation:

The first term is,  9e2  its coefficient is  9 .

The middle term is,  +30e  its coefficient is  30 .

The last term, "the constant", is  +25

Step-1 : Multiply the coefficient of the first term by the constant   9 • 25 = 225

Step-2 : Find two factors of  225  whose sum equals the coefficient of the middle term, which is   30 .

   

     15    +    15    =    30    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  15  and  15

                    9e2 + 15e + 15e + 25

Step-4 : Add up the first 2 terms, pulling out like factors :

                   3e • (3e+5)

             Add up the last 2 terms, pulling out common factors :

                   5 • (3e+5)

Step-5 : Add up the four terms of step 4 :

                   (3e+5)  •  (3e+5)

            Which is the desired factorization

Can someone please answer some of my questions?
*They are all math

Answers

Answer:

DA FA WERE ARE THE QUESTIONS?????????

Step-by-step explanation:

what grade and maybe i’m only in 8th tho

Find the greater ratio - 6:7 and 7:8​

Answers

Answer:

6:7

Step-by-step explanation:

6
TEL
X
-
4
2
44
is it a function or not a function

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It’s not a function.

help me with this please

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Negative minus negative greater negative get rid of the ()

I dont understand can sombody solve this

Answers

Answer:

Option 1

Step-by-step explanation:

I found the exact moon graph on line .  It says it is proportional because  the line passes through the origin

In ΔPQR, the measure of ∠R=90°, RP = 57 feet, and QR = 93 feet. Find the measure of ∠P to the nearest tenth of a degree.

Answers

Answer:

58.5

Step-by-step explanation:

hope it helps :)

what inequality is graphed?

Answers

Answer:

A

Step-by-step explanation:

A is the correct answer have a great day

Somebody please help!!

Answers

Answer:

-12

Step-by-step explanation:

Substitute x for 3

6(3-5)

Simplify in the parenthesis

6(-2)

multiply

-12

A triangle has sides with lengths of 6 millimeters, 8 millimeters, and 11 millimeters. Is it a
right triangle?

Answers

Answer:

No

Step-by-step explanation:

Using the converse of Pythagoras' identity.

If the square on the longest side is equal to the sum of the squares on the other 2 sides, then the triangle is right.

longest side = 11

11² = 121

6² + 8² = 36 + 64 = 100 ≠ 121

Thus the triangle is not right.

No above perfectly explain it Thnks to however answered

The measure of an angle is 9 more than twice its complement. Find the measure of each angle. Which equation below accurately translates the sentence and could be used to find the measure of each angle? 2x + 9 = 90 - x x + 9 = 2(x - 90) x = 9 + 2(90 - x) 2x = (x - 90) + 9

Answers

Answer:

1) Find the measure of each angle.

The measure of each angle = 63° and 27°

2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?

a) 2x + 9 = 90 - x

Step-by-step explanation:

1) Find the measure of each angle.

Two Angles are Complementary when they add up to 90 degrees (a Right Angle)

Mathematically this is represented as:

x° + y° = 90°

From the above question, we are told that:

The measure of an angle is 9 more than twice its complement.

Let the complement of an angle be represented by x

And its measure of an angle be represented by y

Hence,

y = 2× x+ 9

y =(2x + 9)°

x° + y° = 90°

Substitute 2y + 9 for x

x + 2x + 9 = 90

Collect like terms

x + 2x = 90 - 9

3x = 81

Divide both sides by 3

3x/3 = 81/3

x = 27°

We find y(measure of the angle)

x + y = 90

27 + y = 90

y = 90 - 27

y = 63°

Therefore, the measure of each angle is given as:

Measure of an angle = 63°

Complement of an angle = 27°

2) Which equation below accurately translates the sentence and could be used to find the measure of each angle?

a)2x + 9 = 90 - x

b) x + 9 = 2(x - 90)

c) x = 9 + 2(90 - x)

d) 2x = (x - 90) + 9

Option a) is the correct option

Jenny has $2.40 deducted from her monthly allowance every time she forgets to do a chore. If she forgets three times in one month, what will be the change in Jenny's total allowance?​

Answers

Answer: The charge would be $7.20.

hope that helps.

Indiana’s population has increased by 9.5% since 2000, when it was about 6 million people. What is Indiana’s population now?

Answers

Answer:

The answer is 3,166.7

Step-by-step explanation:

2,000*9.5 = 19,000

19,000/6 = 3,166.6666

find the labeled angles​

Answers

Answer:

X = 25, Angles are 65 degrees

Step-by-step explanation:

3x-10 = x+40

2x=50

x=25


How do I find angles c,g and k

Answers

Answer:

a. m<C = 50 deg

b. m<G = 125 deg

c. m<K = 75 deg

Step-by-step explanation:

a.

Look at the two lines marked parallel with 2 marks each.

Angle C and angle 50 deg are alternate interior angles of 2 parallel lines cut by a transversal That makes angle C congruent to the 50-deg angle.

Answer: m<C = 50 deg

b.

Angle G is vertical to thh 125-deg angle. Vertical angles are congruent, so m<G = 125 deg

Answer: m<G = 125 deg

c.

Look at the two lines marked parallel with one mark each.

Angles e and c are corresponding angles, so they are congruent.

m<E = m<C = 50 deg

The 125 deg angle and angle F are a linear pair, so their measures add up to 180.

f + 125 = 180

m<F = 55 deg

Angles E, F and K are the interior angles of a triangle, so their measures add up to 180 deg.

e + f + k = 180

50 + 55 + k = 180

k = 75

m<K = 75 deg

Becky needs of $5,000 loan in order to buy a boat which loan option would allow her to pay the least amount of interest

Answers

Answer:

b 5.75%

Step-by-step explanation:

If Art weighs 200 pounds at sea level, how much will he weigh on Mt. Everest, which is 29,035 feet above sea level? _ pounds

(Round answer to three decimal places. Do not round the numbers in your work. Only round the final answer)

If an object weighs m pounds at sea level, then its weight W (in pounds) at a height of h miles above sea level is given by W(h) = m(4000/(4000 + h))2. (1 mile = 5280 feet)

(W of h equals m times the quantity of (4000 over the quantity (4000 plus h)) squared)



If Art weighs 200 pounds at sea level, how much will he weigh on Mt. Everest, which is 29,035 feet above sea level?

Answers

Answer:

its 1,456,000

Step-by-step explanation:

first you multiply 200 times 5280 and add 4000 if thats right uon

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