Which of the following is a solution to this inequality?
y > 1/2x + 2​

Which Of The Following Is A Solution To This Inequality? Y > 1/2x + 2

Answers

Answer 1

Answer:

We conclude that only (1, 4) satisfies the inequality.

Thus, (1, 4) is a solution to this inequality.

Hence, option A is correct.

Step-by-step explanation:

Given the inequality

y > 1/2x + 2​

FOR (1, 4)

y > 1/2x + 2​

substituting x = 1, and y = 4

4 > 1/2(1) + 2

4 > 1/2+2

4 > 5/2

TRUE!

Reason: It is true because 4 is indeed greater than 5/2

Thus, (1, 4) satisfies the inequality.

Therefore, (1, 4) is a solution to this inequality.

FOR (-1, 1)

y > 1/2x + 2​

substituting x = -1, and y = 1

1 > 1/2(-1) + 2​

1 > -1/2+2

1 > 3/2

FALSE!

Reason: It is false because 1 can not be greater than 3/2

Thus, (-1, 1) DOES NOT satisfy the inequality.

FOR (2, 3)

y > 1/2x + 2​

substituting x = 2, and y = 3

3 > 1/2(2) +2

3 > 1+2

3 > 3

FALSE!

Reason: It is false because 3 can not be greater than 3.

Thus, (2, 3) DOES NOT satisfy the inequality.

FOR (0, 2)

y > 1/2x + 2​

substituting x = 0, and y = 2

2 > 1/2(0) +2

2 > 0+2

2 > 2

FALSE!

Reason: It is false because 2 can not be greater than 2.

Thus, (0, 2) DOES NOT satisfy the inequality.

Therefore, we conclude that only (1, 4) satisfies the inequality.

Thus, (1, 4) is a solution to this inequality.

Hence, option A is correct.


Related Questions

help me on 6 and plz tell me what to do.​

Answers

Answer:

10560 feet

Step-by-step explanation:

The answer is 10560 feet

find the volume of a cone with diameter of 12m and a height of 7m

Answers

Answer:

A) [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters

Step-by-step explanation:

The formula for finding the volume of a cone is [tex]V=\frac{1}{3}\pi r^{2} h[/tex] where [tex]V[/tex], [tex]r[/tex], and [tex]h[/tex] are the cone's volume, radius, and height, respectively. We are given that we need to solve for the cone's volume, and we are also given the cone's height, but we don't know its radius. Not to worry though because we are given its diameter, and since radius is simply half of the diameter, we know that the cone's radius is [tex]\frac{12}{2}=6[/tex] m. Now, we know that [tex]r=6[/tex] and [tex]h=7[/tex], so plugging these values into the equation, we get:

[tex]V=\frac{1}{3}\pi r^{2} h[/tex]

[tex]= \frac{1}{3} \pi *6^{2} *7[/tex] (Substitute given values into equation)

[tex]=\frac{1}{3}\pi *36*7\\=84\pi[/tex] (Simplify)

Since [tex]\pi[/tex] is approximately [tex]3.14[/tex], we know that [tex]84\pi =84*3.14=263.76[/tex]. Therefore, the volume of the cone is [tex]84\pi[/tex] or approximately [tex]263.76[/tex] cubic meters. Hope this helps!

helpppppppppppppppppp​

Answers

Answer:

Step-by-step explanation:

3/8 if you change 1/4 to 8ths you get 2/8. so if you add 1 3/8 + 2/8 you get 1 5/8 so you only need 3/8 to get to 2 quarts.

Solve for x. Your answer may be in decimal form. Round to the nearest tenth.

Answers

Answer:

[tex]x=54.6[/tex]

Step-by-step explanation:

Because ΔABC is similar to ΔSTU, we know that their corresponding sides are proportional. Therefore, we know that [tex]\frac{AB}{AC}=\frac{SU}{ST}[/tex]. We are given that [tex]AB=x[/tex], [tex]AC=21[/tex], [tex]SU=13[/tex], and [tex]ST=5[/tex]. After substituting the given values into the proportion and solving for [tex]x[/tex], we get:

[tex]\frac{AB}{AC}=\frac{SU}{ST}[/tex]

[tex]\frac{x}{21} =\frac{13}{5}[/tex] (Substitute given values into the proportion)

[tex]5*x=13*21[/tex] (Cross-Products Property)

[tex]5x=273[/tex] (Simplify)

[tex]\frac{5x}{5}=\frac{273}{5}[/tex] (Divide both sides of the equation by [tex]5[/tex] to get rid of [tex]x[/tex]'s coefficient)

[tex]x=54.6[/tex] (Simplify)

Hope this helps!

Answer:

x=55

Step-by-step explanation:

these are similar triangles(they have same shape and different sizes)

also two side of these triangles are equal.

lets write ratio:

21:5=x:13

x=21×13/5=54.6≈55

Explain how the product of 3 and 65 could be used to find 0.03 x 0.65

Answers

Answer:

because u just do 3 x 65 then you divide by 10  two times

Step-by-step explanation:

PLEASE HELP I WILL MARK BRAINLEIST IDC

how would you put -4.9+7.5t-0.3=0 in a quadratic formula or how would you write it as a quadratic formula

Answers

Answer:

You would have to mulitiply the reciprical by the 7.5t^3 by the other 3 terms

Step-by-step explanation:

Answer:

34

Step-by-step explanation:

Please help me with my homework please.

Answers

Answer:

a) Speed of the cyclist is (2.75/0.4) = 6.875 miles per hour.

b) It will take (5.5/6.875) = 0.8 hours to travel 5.5 miles at this rate.

Remember: Speed=Distance/Time

Pleas help soon. If not I must submit unfinished thank you,

Answers

Answer:

x > - 4

Step-by-step explanation:

Given

x > [tex]\frac{5x-12}{8}[/tex]

Multiply both sides by 8 to clear the fraction

8x > 5x - 12 ( subtract 5x from both sides )

3x > - 12 ( divide both sides by 3 )

x > - 4

Forever 21 has a student discount of 7%. The total for your items is $24 what is your total after the discount?

Answers

Answer:

the answer is $22.32

Step-by-step explanation:

Answer:

$22.32

Step-by-step explanation:

Lorenzo runs marathons, which are about 26 miles long. He usually runs 4 marathons a year, and he has been doing this for 11 years. Lorenzo estimates he has run a little over 100 miles during all these marathons. Is that a good estimate?

the answer options:

*yes
*no its much too low
*not its much too high

Answers

Answer:

no to low he ran 1144 miles in 11 years

how do i solve it?
.​

Answers

Answer:

The answer should be x = 3.

Step-by-step explanation:

Here is my work attached below:

Look at the following numbers:

-7, 0, 7, 14

Which pair of numbers has a sum of 0?

Group of answer choices

0, 7

-7, 7

7, 14

-7, 14

Answers

Answer:

The correct answer is: -7, 7

Step-by-step explanation:

Given numbers are:

-7, 0, 7, 14

We have to check all pairs of numbers with respect to sum to check that which pair of numbers sums up to zero. So first of all, we will take -7 and will find its sum with other numbers.

So,

[tex]-7+0 = -7\\-7+7=0\\-7+14 = 7[/tex]

We can see that the sum of -7 and 7 is zero.

Hence,

The correct answer is: -7, 7

Your answer is B.) -7, 7

ABCD is a rhombus. Find AB. Enter your answer as a fraction in simplest form.
4x + 15
с
12yº
(2y - 2)°
7x + 2
AB =

Answers

Answer:

[tex]AB= \frac{97}{3}[/tex]

Step-by-step explanation:

Properties of Rhombus

All sides of the rhombus are equal. The opposite sides of a rhombus are parallel. Opposite angles of a rhombus are equal. In a rhombus, diagonals bisect each other at right angles. Diagonals bisect the angles of a rhombus.

We are given two sides of the rhombus BC and CD. According to the first property:

4x + 15 = 7x + 2

Subtracting 4x:

15 = 3x + 2

Subtracting 2:

13 = 3x

Dividing by 3:

[tex]x=\frac{13}{3}[/tex]

It's required to find the side AB. Applying the first property again:

AB= BC = CD = 4x + 15

[tex]AB =4*\frac{13}{3}+15[/tex]

[tex]AB= \frac{52}{3}+15[/tex]

[tex]AB= \frac{97}{3}[/tex]

In the five sixth-grade classrooms there are 26, 29, 31, 33, 36 students.
What is their average (mean) number?
A.31
B. 26
C. 33
(D. 29
E. 36

Answers

Answer:B 26

Step-by-step explanation:

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 5 to 4. If there were 8829 total votes, how many yes
votes were there?

Answers

4905 yea votes

8829 divided by 9 = 981

981x5=4905

Solve the equation,
9b + 15 = 4b = 10

Answers

Answer:

b=-1

Step-by-step explanation:

First step to any algebraic equation is to combine like-terms. This would mean that we would have to subtract 4b from both sides, I'm assuming its supposed to be plus ten and you just typed it wrong but, we get 5b+15=10 here we  subtract 15 from both sides and get 5b=-5. Now we isolate the variable b, getting b=-1.


Complete the equation to show how many thirds are equivalent to
8/12 = ?/3

Answers

Answer:

[tex]\frac{2}{3}[/tex]

Explanation:

What we need to do is to convert [tex]\frac{8}{12}[/tex] into a new - but still equal - fraction, one with a denominator of 3. In order to convert a fraction, you either divide or multiply both the denominator and the numerator by the same number.

We know that the answer has to be a fraction with the denominator of 3. Take a look at the denominator of [tex]\frac{8}{12}[/tex] - it's 12. Ask yourself: 12 divided by what number equals 3? That number would 4.

So, divide 8 by 4 as well and you would get 2. Therefore, the numerator would be 2 and the answer is [tex]\frac{2}{3}[/tex].

Increase £19028.42 by 19.5%
Give your answer rounded to 2 DP.

Answers

Answer:

22738.96

Step-by-step explanation:

119.5% x 19028.42=

22738.9619

now rounded to 2 d.p is 22738.96

which ones are linear and not linear? a, b, c, and d

Answers

Answer:

Linear graphs have straight line so (B,C)

NON LINEAR GRAPHS DON'T HAVE STRAIGHT LINE (A,D)

appreciated if you mark brainliest

Answer:

B is linear

Hope it helps

Help meeeeeee pleaseeeee

Answers

Answer:

a

Step-by-step explanation:

Celia is sending her puppy to doggy daycare. There is an application fee of $50 and then a daily fee of $25 per day. Which linear equation represents the cost of bringing the puppy to doggy daycare x times?

Answers

Answer : x = no. of days

50 + 20x

Answer:

d its y=12

Step-by-step explanation:

first you do that then 25 gbg

w^2+13w+36=(w+4)(w+?)

Answers

Answer:

w1= -8, w2 = -4

Step-by-step explanation:

Answer: [tex]w^{2} + 13w + 36 = (w + 4)(w + 9)[/tex]

Step-by-step explanation:

[tex]w^{2} + 13w + 36 = (w + 4)(w + ?)[/tex]

w (w + ?) +4 (w + ?)

w² + ?w + 4w + ?

4w + ?w = 13w

Subtract both sides by 4w

?w = 9w

? = 9

4 (?) = 36

Divide both sides by 4

? = 9

[tex]w^{2} + 13w + 36 = (w + 4)(w + 9)[/tex]

Hope I helped!

At 8:00 A.M., the temperature is 53 °F. At 11:00 A.M., it is 69 °F.
What is the average change in temperature per hour?

Answers

answer: 5.333 degrees per hour

69-53=16 degrees
11-18=3 hours

16/3= 5.33333

5.33 F  is the average change in temperature per hour.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

Given, At 8:00 A.M., the temperature is 53 °F. At 11:00 A.M., it is 69 °F.

Since there is a Sum change in temperature in 3 hours

From the formula of average:

Average change = total change/ time taken

in our case

Total change = 69 - 53

Total change = 16 F

Total time taken = 11 - 8

Total time taken = 3

Thus Average = 16/3

Average = 5.3333

Therefore, the average change in temperature per hour is 5.33 F.

Learn more about Mean here:

https://brainly.com/question/521501

#SPJ5

determine the value of x

Answers

It’s d brrooooooooooooo

Answer:

both angle 2x+60 and 4x+20 are equal

2x+60=4x+20

60=2x+20

40=2x

x=20

Step-by-step explanation:

Lily buys some of her clothes from the mall. If 100% of her shirts are from the mall and she owns 86 shirts, how many of Lily's shirts are from the mall?

Answers

Answer:

the answer is 86

Step-by-step explanation:

the answer is 86 because if all of her shirts are from the mall and she has 86 of them, 100% of 86 is 86

In the following function, What is the input value? f(-9)=4x-4+2 A.4 B.-4 C.2
D.-9

Answers

A is the correct answer

Sierra’s ice cream shop made $45 before she had to close early when the power went out. She realized she lost Two-thirds of a dollar each hour when the shop was closed. The expression that models this situation is 45 minus two-thirds h. What was Sierra’s profit if the shop was closed for 6 hours?

Answers

Answer:

Sierra's profit was $41.

Step-by-step explanation:

Sierra realized she lost two-third of a dollar each hour when the shop was closed.

The expression that models this situation is,  ............. (1)

Now, we have to calculate Sierra's profit if the shop was closed for 6 hours.

So, putting h = 6 hours in the equation (1) we get,

dollars.

So, Sierra's profit was $41. (Answer)

Step-by-step explanation:

Answer:

$41 is your answer (~UnU)~

Step-by-step explanation:

Have a great day!

8a - 36 for a = 7 and b = 1
8a - 3b =

Answers

8(7)-36=28
8(7)-3(1)=61

2.
Ashley is choosing a popsicle from the freezer at
of her picking a grape popsicle the probability of her picking a cherry
popsicle and the rest of the popsicles are orange. What is the
likelihood of Ashley selecting an orange popsicle?
A. Likely
B. Unlikely
C. Certain
D. Impossible

Answers

Answer:

I believe it's A.

Step-by-step explanation:

She can kinda pick whatever, she wants, but i hope i answered properly

Arrow2Mania<3

A bus travels 300 kilometers at a given speed. If the speed is increased by 5 kilometers per hour, the trip will be reduced by two hours. Find the speed.

Answers

Answer:

25km/hr (take the word train as bus )

Step-by-step explanation:

Answer

Let x km/hr be the constant speed of the train,

Then Time taken to cover 300km=

x

300

hrs

Time taken to cover 300km when the speed is increased by 5km/hr=

x+5

300

hours

It is given that the time to cover 300km is reduced by 2 hours

x

300

x+5

300

=2

x(x+5)

300(x+5)−300x

=2⇒2x

2

+10x=1500

⇒x

2

+5x−750=0⇒x

2

+30x−25x−750=0

⇒(x+30)(x−25)=0⇒x=25orx=−30

But x cannot be negative. Therefore x=25

Hence, the original speed of the train is 25km/hr

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