Which inequality is represented by the graph?


A) y≥−12x+2.5

B) y>−2x+2.5

C) y≥−2x+2.5

D) y≤−2x+2.5

Which Inequality Is Represented By The Graph?A) Y12x+2.5B) Y>2x+2.5C) Y2x+2.5D) Y2x+2.5

Answers

Answer 1

Answer: The answers C

Step-by-step explanation: Use Desmos to find it

Answer 2

Answer:

Option C.

Step-by-step explanation:

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

From the given graph it is clear that the related line passes thorough the points (0,2.5) and (2,-1.5).

The equation of related line is

[tex]y-2.5=\frac{-1.5-2.5}{2-0}(x-0)[/tex]

[tex]y-2.5=\frac{-4}{2}(x)[/tex]

[tex]y-2.5=-2x[/tex]

Add 2.5 on both sides.

[tex]y-2.5+2.5=-2x+2.5[/tex]

[tex]y=-2x+2.5[/tex]

Th sign of inequality is either ≤ or ≥ because the related line is a solid line. It means the points on the line are included in the solution set.

Let the required inequality is

[tex]y\geq -2x+2.5[/tex]

(1,1) is included in the shaded region. So, the above inequality is true for (1,1).

[tex]1\geq -2(1)+2.5[/tex]

[tex]1\geq 0.5[/tex]

The assumed inequality is true for (1,1). So, the required inequality isn [tex]y\geq -2x+2.5[/tex].

Therefore, the correct option is C.


Related Questions

how do you solve the following equation:
6(3x-5)=21​

Answers

Answer:

17/6

2 5/6

Step-by-step explanation:

18x-30=21

18x=51

x=51/18

x=17/6

BRAINLIEST FIRST TO ANSWER! Which property is shown in this example? (8.1+7.9)+5.4=8.1+(7.9+5.4)

Identity/ Commutative/ Associative/ Distributive/

Answers

Answer: Associative

Associative says it doesn't matter what is added or multiplied first, and this question shows this

Hope this helps!

Answer: Associative

Step-by-step explanation:

Round the following numbers to the nearest 10. 13-21-29

Answers

Answer:

13 --> 10

21 --> 20

29 --> 30

Answer:

The correct answer is: 10-20-30

Step-by-step explanation:

13 is between 10 and 20. The closest 10 for 13 is 10, because it's only 3 away (13  the other option would be 20 but it's 7 away, so way more.)

21 is between 20 and 30. The closest 10 for 21 is 20 ( it's only 1 away from 20, the other option would be 30 but it's 9 away, so way more.)

29 is between 20 and 30. The closest 10 for 29 is 30 (it's only 1 away from 30, the other option would be 20 but it's 9 away, so way more.)

Write an equation for the description.
Ten times the sum of half a number x and 5 is 8.

Answers

10(1/2X + 5) = 8

Happy to help! Please mark me as the brainliest!

Final answer:

The statement 'Ten times the sum of half a number x and 5 is 8' can be translated into a mathematical equation as: 10 * (0.5x+5) = 8.

Explanation:

To write the equation for the given description, we first need to translate the statement into mathematical terms.

The description is 'Ten times the sum of half a number x and 5 is 8'. In mathematics:

'The sum of' is represented by a plus '

So, translating the statement into an equation we get:

10 * (0.5x+5) = 8

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-15= z/-2 answer please?​

Answers

Answer:

30

Step-by-step explanation:

[tex]-15=\frac{z}{-2}\\\\(-15)(-2)=z\\\\30=z[/tex]

Kaleb had 136 songs on his mp3 player. if he deleted 56 songs, what is the ratio of songs he kept to songs he deleted

Answers

Kalevala now has 80 songs left. 136-56=80
So the ratio is 80:56
Or 80 to 56

Answer:

80/56 = 1.42

Step-by-step explanation:

Total songs = 136

Number deleted = 56

Number kept = 136-56 = 80

The ratio of songs kept to songs deleted = 80/56 = 1.42

The proportions or ratio are used to compare quantities with each other, and are usually written with a colon (:) intermediate.

The school is taking students on a field trip. Each bus holds 32 students. If 140 students have RSVP'd, what is the fewest number of buses that can be used?
a) 5
b) 6
c) 7

Answers

Answer:

5

Step-by-step explanation:

because in 5 buses there could fit 160 students which is more than have rsvpd

Answer:

(a)

Step-by-step explanation:

Basically we're trying to figure out how many groups of 32 students are needed to have more than 140.

To do this, we take 140/32 (*BIG NOTE!! No matter what our answer is, we round up. If we rounded down, we'd be leaving some students behind, and we don't want that.)

140/32 = 4.375 (but remember, we round up no matter what)

so the answer is 5, which is A.

what is the smallest number that rounds to 40​

Answers

Answer: 2

Step-by-step explanation:

Answer:35

Step-by-step explanation: the reason this is true is because 5is the smallest number that can round up to ten

Rewrite the radical expression with a rational exponent
3✔️ x7.
A. X21
B. X4
C. X 7/3
D. 3/7

Answers

Answer:

[tex]x^{\frac{7}{3} }[/tex]

Step-by-step explanation:

The given expression is

[tex]\sqrt[3]{x^{7} }[/tex]

There's a exponent which relates fractional exponents and roots, that is

[tex]\sqrt[n]{x^{m} } = x^{\frac{m}{n} }[/tex]

So, if we apply this property, the results would be

[tex]\sqrt[3]{x^{7} }=x^{\frac{7}{3} }[/tex]

Therefore, the right answer is the third choice [tex]x^{\frac{7}{3} }[/tex]

Answer:

c

Step-by-step explanation:

i took the test


Miguel says that to create rectangle F' he reflected rectangle F across the y-axis, dilated the reflection by a scale factor of 3, and translated the dilated figure to the right 2 units.

What mistake did Miguel make in describing the steps of his transformation?
A. He gave the incorrect scale factor.
B. He named the incorrect axis of reflection.
C. He gave the incorrect direction of translation.
D. He gave the incorrect number of units of translation.

Answers

Answer:

A. He gave the incorrect scale factor.

Step-by-step explanation:

The scale factor is the Multiplicative Inverse of 3, which is ⅓:

F → 12 × 6

F' 4 × 2

This is a genuine statement because according to the graph, each block is worth 2, and ⅓ of 6 is 2, and ⅓ of 12 is 4.

I am delighted to assist you anytime my friend.

Answer:

the answer is A

Step-by-step explanation:

Miguel gave an incorrect scale factor.  The shape decreased in size meaning it would have a scale factor under 1 but he put 3 meaning the shape got larger when really it shrunk.  This means A is the correct answer

I need help!!! Please help me

Answers

Answer:

5 ≥ 0

Step-by-step explanation:

9w - 4w +6 ≥ 1 + 5w.

Subtract 9w - 4w = 5w.

5w + 6 ≥ 1 + 5w.

Subtract 1 from each side.

5w + 6 - 1 ≥  1 - 1 + 5w

5w + 5 ≥ 5w

Subtract 5w from each side

5w - 5w + 5 ≥ 5w -5w

5 ≥ 0

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if y varies direrectly as x and inversely as the square of z. y=52 when x=16 and z=2. find y when x=18 and z=3.

Answers

Answer:

y = 26

Step-by-step explanation:

Given y varies directly as x and inversely as the square of z then the equation relating them is

y = [tex]\frac{kx}{z^2}[/tex] ← k is the constant of variation

To find k use the condition y = 52, x = 16, z = 2

k = [tex]\frac{yz^2}{x}[/tex] = [tex]\frac{52(4)}{16}[/tex] = 13

y = [tex]\frac{13x}{z^2}[/tex] ← equation of variation

When x = 18 and z = 3, then

y = [tex]\frac{13(18)}{9}[/tex] = 26

8 5/8 + 8 7/8 ????????

Answers

Answer:

17 1/2

Step-by-step explanation:

8 5/8 + 8 7/8

=17 1/2

Answer:

17 1/2

Step-by-step explanation:

8 5/8+8 7/8=...

So, let's take away the fractions for now.

What's 8+8?

Well, 8+8=16.

Now, let's take a look at the fractions.

5/8+7/8=...

Well, when we are adding fractions, the denominator will stay the same. So let's pretend that we are adding 5+7.

5+7= 12. So our answer is 16 12/8 Right?

wrong.

you will simplify the 12/8. Since the numerator is more than eight, we will subtract 8 from 12.

12-8=4

we will make the 8/8 a 1 and add it to the 16 to make it 17 4/8. We can still simplify this. The 4/8 becomes 1/2 making the answer: 17 1/2

Hope this helps!!!

During the first year it is in business, another candy company sells
100 times as many boxes as the Cricket Candy Company. How
many boxes are sold by both companies during that first year?

Answers

Can you please give me more information

The amount of money,
A
(
t
)
A(t)
in a savings account that pays 3% interest, compounded quarterly for
t
t
yesrs, when an initial investment of $2000 is made, is given by
A
(
t
)
=
2000
(
1.0075
)
4
t
A(t)=2000(1.0075)4t
.

Answers

good luck man i hate having to do this kind of thing in class

The formula [tex]\(A(t) = 2000(1.0075)^{4t}\)[/tex] represents the amount of money in a savings account with quarterly compounding interest over time.

The formula [tex]\(A(t) = 2000(1.0075)^{4t}\)[/tex] describes the amount of money, [tex]\(A(t)\),[/tex] in a savings account over time, where [tex]\(t\)[/tex] represents the number of years. The initial investment is $2000, and the account earns interest at a rate of 3%, compounded quarterly.

The term [tex]\((1.0075)^{4t}\)[/tex] represents the growth factor of the investment over time.

The base, [tex]\(1.0075\),[/tex] represents the factor by which the investment grows each quarter, considering the 3% annual interest rate.

Since the interest is compounded quarterly, it is raised to the power of [tex]\(4t\)[/tex] to account for the total number of quarters over [tex]\(t\)[/tex] years.

Multiplying the initial investment by this growth factor yields the total amount of money in the account after[tex]\(t\)[/tex]years.

As time increases, the exponential term increases, leading to exponential growth in the account balance.

This formula provides a mathematical model for calculating compound interest and understanding how investments grow over time.


What is the solution to the following equation?

|3x - 6| = 10

Answers

Answer:

B

Step-by-step explanation:

1) Set up the following two equations, because of the absolute value:

3x-6=10

3x-6=-10

2) Solve both equations:

3x=16

3x=-4

3) Divide both sides by 3:

x=16/3

x=-4/3

4) Make fractions proper:

x=5 1/3

x=-1 1/3

A car used 1/64 of a gallon of gas to drive 1/4 of a mile. at this rate, how many miles can the car travel using 1 gallon of gas?


HELP ! SHOW WORK AND I WILL MAKE YOU THE BRAINIEST ANSWER .

Answers

Answer: 4/64

Step-by-step explanation:

Since 1/4 * 4 = 1

We just have to multiply 1/64 times 4 to get the answer

1/64 * 4 = 4/64

Answer:

Car will cover 16 miles in 1 gallon of the gas.

Step-by-step explanation:

We can solve this question by unitary method.

∵ A car used [tex]\frac{1}{64}[/tex] gallons of gas to drive the distance = [tex]\frac{1}{4}[/tex] miles

∴ Car used 1 gallons to drive the distance = [tex]\frac{\frac{1}{4} }{\frac{1}{64} }[/tex]

= [tex]\frac{64}{1}\times \frac{1}{4}[/tex]

= [tex]\frac{64}{4}[/tex]

= 16 miles

Therefore, car will cover 16 miles in 1 gallon of the gas.

9 divided by 4/9 in simplest form

Answers

Answer:

The answer is [tex]\frac{81}{4}[/tex]

Step-by-step explanation:

The formula is: [tex]\frac{a}{b}  \div \frac{c}{d} =  \frac{ad}{bc}[/tex]

In this case we have: [tex]\frac{9}{1} \div  \frac{4}{9} = \frac{9\times 9}{1\times 4}  = \frac{81}{4}[/tex]

Since 81 y 4 do not have common divisors. The fraction [tex]\frac{81}{4}[/tex]

is in its simplest form.

Final answer:

9 divided by 4/9 equals 81/4 or 20.25. This is done by multiplying 9 by the reciprocal of 4/9, resulting in 81/4, which is already in simplest form.

Explanation:

To calculate 9 divided by 4/9, we can rewrite the division as a multiplication by the reciprocal of 4/9. Here's the step-by-step explanation:

First, identify the reciprocal of 4/9, which is 9/4.Next, multiply 9 by the reciprocal of 4/9: 9 × (9/4).Perform the multiplication: 9 × 9 = 81 and keep the denominator 4.Now you have the fraction 81/4.

Therefore, 9 divided by 4/9 equals 81/4 or 20.25 in decimal form. Since the problem asks for the simplest form, 81/4 is the final answer and cannot be simplified further because 81 and 4 have no common factors other than 1.

My first number is -2 my fifth number is 26 what’s my third number

Answers

Answer:

Answer:

12

Step-by-step explanation:

28 / 4 = 7

1) -2

2) -2+7=5

3) 5+7=12

4) 12+7=19

5)19+7=26

My first number is -2 my fifth number is 26

My third number is 12

Given :

My first number is -2 my fifth number is 26

Lets assume the given numbers are in arithmetic sequence

First term is -2  and fifth term is 26

[tex]a_1=-2\\a_5=26[/tex]

Formula for nth term is

[tex]a_n=a_1+(n-1)d[/tex]

where d is the difference and n is the number of terms

[tex]a_5=a_1+(5-1)d\\a_5=-2+4d\\26=-2+4d\\26+2=4d\\28=4d\\divide \; by \;4 \\d=7[/tex]

Common difference is 7

First term is -2

second term is [tex]-2+7=5[/tex]

Third term is [tex]5+7=12[/tex]

So , the third number is 12

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last week at the business where you work,you sold 120 items.the business paid $1 per item and sold them for $3 each.what profit did the business make from selling the 120 items?​

Answers

Answer:

The business would get 240$

Step-by-step explanation:

120$ is the amount you would of made for the the 120 items. The business gets 3$ per item. 120 x 3 would be 360, subtracted by 120 which is what they give you. The business would end up with 240$, or 2/3rds of the money.

Answer:

240

Step-by-step explanation:

since you get the items for 1 dollar and sell them for 2 you need to subtract   3-1 to get your profit which is 2. since you sold 120 items, multiply 120x2 to get your profit of 240.

Which of the following is a rational equation?

A. 4-2(x-1)=x+3

B. 1/2x-1/3=4-x

C. 0.7x-3=0.09(x-5)

D. 6/x - 1 = 4/(x-2)

Answers

Answer:

B and D

Step-by-step explanation:

Since they're the fractions

Option B and Option D represent rational equation.

A rational equation is defined as any equation that can write in p/q form where q not equal  to zero.

From given option it is observed that,

Option B,   [tex]\frac{1}{2}x-\frac{1}{3} =4-x [/tex]

option D,  [tex]\frac{6}{x}-1=\frac{4}{x-2} [/tex]

Both option have fraction term.

Hence, Option B and Represent rational equation.

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-1/4 in decimal form

Answers

Answer:

-0.25

Step-by-step explanation:

write down the coordinates of the point 5 units to the left of the y axis and 3 units above the x axis

Answers

5 units to the left would mean positive 5 and up 3 units is also positive so the coordinates would be (5,3)

The coordinates of the point is (-5,3)

How to determine the coordinates?

Let the initial coordinate be:

Initial = (0,0)

5 units to the left of the x-axis represents a horizontal translation left by 5 units.

So, we have:

New = (0 - 5,0)

3 units above the y-axis represents a vertical translation up by 3 units.

So, we have:

New = (0 - 5, 0 + 3)

Evaluate

New = (-5, 3)

Hence, the coordinates is (-5,3)

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What is the area of the trapezoid?
13 m
16 m
19 m
232 m2
256 m2
328 m2
352 m2

Answers

Answer:

256m2.

Step-by-step explanation:

Answer:

256m^2

Step-by-step explanation:

The equation y-5=6(x+1) is written in point-slope form. What is the equation written in slope-intercept form?
A)y = 6x + 11
B)y = 6x – 1
C)y = 6x – 4
D)y = 6x + 6

Answers

Answer:

a. y = 6x + 11

Step-by-step explanation:

distribute and rearrange into slope-intercept form.

y - 5 = 6x + 6

add 5 to both sides

y = 6x + 6 + 5 ⇒ y = 6x + 11

Answer: Hello mate!

our equation is y - 5 = 6(x + 1), and we want to rewrite it in the slope-intercept form.

First lets distribute the parenthesis.

y - 5 = 6(x+1) = 6x + 6

now let's add 5 in both sides.

y-5 + 5 = 6x + 6 + 5

y = 6x + 11

Then the correct answer is the option A.

Sophie and $18 for working 2 1/4 hours how much did she earn per hour

Answers

Answer:

8 dollars per hour

Step-by-step explanation:

2 1/4=2.25

18/2.25=8

(Sorry I read the question wrong at first above answer should be able to help you. I apologize)

Answer:

Sketch and prove the following for the two congruent triangles ∆ABC and ∆DEF.

The medians drawn from vertex A and D are congruent.

Label medians MA and ND ; then △ABM≅△

by reason

Answers

Answer:

See explanation

Step-by-step explanation:

Given: ΔABC ≅ ΔDEF

AM, DN - medians

Prove: AM ≅ DN

Proof:

1. Congruent triangles ABC and DEF have congruent corresponding parts:

AB ≅ DE;BC ≅ EF;∠ABC ≅ ∠DEF.

2. BM ≅ MC - definition of the median AM;

3. EN ≅ NF - definition of the median DN;

4. AB ≅ 2BM, EF ≅ 2EN

BM ≅ 1/2 AB,

EN ≅ 1/2 EF,

thus, BM ≅ EN

5. Consider two triangles ABM and DEN. In these triangles \:

AB ≅ DE (see 1));BM ≅ EN (see 4));∠ABM ≅ ∠DEN (see 1).

So, ΔABM ≅ ΔDEN by SAS postulate.

6. Congruent triangles ABM and DEN have congruent corresponding sides BM and DN.

Is the number 4.333..... rational or irrational?

Answers

Answer:

Irrational number

Final answer:

The number 4.333.... is a rational number because it can be expressed as the fraction 13/3. An irrational number, like Pi, cannot be expressed as a fraction of two integers.

Explanation:

The number 4.333..... is an example of a rational number. Rational numbers can be expressed as a fraction of two integers, and in this case, 4.333.... can be expressed as 13/3. In contrast, an irrational number cannot be expressed as a fraction of two integers. For example, the number Pi is an irrational number because it can not be accurately expressed as a fraction.

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hi i need help please

Answers

Search how muCh is a gallon and how much is a quart and these will help you find your answer

@ 4x +(2x - 1) = x +5+x-6​

Answers

Answer:

I believe the answer is 4 but im not sure because I skipped the @ but I didnt know what it meant

Step-by-step explanation:

4x +(2x - 1) = x +5+x-6

pretend that there is a 1 in front of the bracket

4x+1(2x-1)= x+5+x-6

Mutiply the bracket by 1

(1)(2x)= 2x

(1)(-1)= -1

4x+2x-1=x+x+5-6( combine like terms)

6x-1= 2x-1

move 2x to the other side

sign changes from +2x to -2x

6x-2x-1= 2x-2x-1

4x-1=-1

move -1 to the other side

4x-1+1= -1+1

4x= 0

divide by 4 for both sides to get x by itself

4x/4= 0/4

Cross out 4 and 4, divide by 4 and then becomes 1*1*x= x

x= 0/4

Answer: x= 0

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