Mathematics High School

(05.05)
Select the inequality that corresponds to the given graph. (5 points)

Answers

Answer 1

Answer:

3) 4x-2y (less than) -8

Answer 2

Answer:

Option 3: 4x - 2y < -8

Step-by-step explanation:

Given the graph of a linear inequality with a dashed line as its boundary line:

Quick Note:

To start with, since the graph of the line is dashed, this means that the endpoints are not included as solutions.

Hence, we can easily rule out Option 4: 2x + 4y ≥ -16, since the solid boundary lines are used to represent linear inequalities with "≥" or "≤" symbols. Solutions:

It will help to choose a test point that is not on the line, and substitute its values into the given inequality statements. Test points are used to verify whether it will satisfy the given inequality statement.

Let's use the point of origin as our test point, (0, 0). Substitute its values into the linear inequality statements in Options 1 through 3:

Option 1: 4x - 3y > -12

4x - 3y > -12

4(0) - 3(0) > -12

0 - 0 > -12

0 > -12 (True statement). Hence, the half-plane region that contains the test point must be shaded.

Since the point of origin is not a part of the shaded region in the given graph, then it means that the linear inequality in Option 1 is not the correct answer.

Option 2: x + 4y > 4

x + 4y > 4

(0) + 4(0) > 4

0 + 0 > 4

0 > 4 (False statement). The half-plane region that doesn't contain the test point must be shaded. Hence, Option 2 may be a valid solution.

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

x + 4y > 4

x - x + 4y > - x + 4

4y > -x + 4

Divide both sides by 4 to isolate y:

[tex]\displaystyle\mathsf{\frac{4y}{4}>\:\frac{-x\:+\:4}{4} }[/tex]

y > -¼x + 1 ⇒ This is the slope-intercept form, where it has a negative slope of m = -¼. Hence, Option 2 is not a valid answer, as the graph has a positive slope.

Option 3: 4x - 2y < - 8

4x - 2y < - 8

4(0) - 2(0) < - 8

0 - 0 < - 8

0 < -8 (False statement). Thus, the half-plane region that doesn't contain the test point must be shaded.

We must transform the given inequality statement into its slope-intercept form, to see whether its slope matches the graph:

4x - 2y < - 8

4x - 4x - 2y < -4x - 8

-2y < -4x - 8

Divide both sides by -2 to isolate y:

[tex]\displaystyle\mathsf{\frac{-2y}{-2}>\:\frac{-4x\:-\:8}{-2} }[/tex]

y < 2x + 4 ⇒ This linear inequality statement in slope-intercept form matches the given graph, as its line has a positive slope of 2.

Therefore, the correct answer is Option 3: 4x - 2y < -8.

Related Questions

A TV has a listed price of $771.95 before tax. If the sales tax rate is 9.25%, find the total cost of the TV with sales tax included. Round your answer to the nearest cent, as necessary.

Answers

Answer:

$843.36

Step-by-step explanation:

:))

What is considered an exponential monthly growth rate.

Answers

The Answer equals 1.9%

1. Subtract the linear expressions.

(45x−5)−(13x+4)

What is the difference?

Enter your answer in the box. Enter fractions as simplified fractions.

2. Add the two expressions.

−2.4n−3 and −7.8n+2

Enter your answer in the box.

3. Subtract the linear expressions.

(−3.6x+9.4)−(1.9x+3.6)

What is the difference?

Enter your answer in the box.

4. Subtract 5x−2 from −3x+4 .

A.2x + 2

B.8x−6

C.−8x+6

D.−8x+2
Please try and put the correct answers.
If all correct I will mark them brainilest

Answers

[tex](1)\\\\(45x -5) -(13x +4) = 45x-5-13x -4 = 32x -9\\\\\\(2)\\\\-2(4n) -3 + (-7)(8n) +2 = -8n-56n -1 = -64n -1 = -(64n+1)\\\\(3)\\\\(-3.6x+9.4) - (1.9x +3.6) = -3.6x +9.4 -1.9x -3.6 =-5.5x+5.8\\\\\\(4)\\\\-3x+4-(5x-2) = -3x+4-5x +2=-8x +6[/tex]

How to calculate percentile.

Answers

Answer:

Step-by-step explanation:

Percentile Formula

P = (n/N) × 100

Where,

n = ordinal rank of the given value or value below the number

N = number of values in the data set

P = percentile

Percentile = (Number of Values Below “x” / Total Number of Values) × 100

Answer:[tex]\frac{x}{x+....}[/tex]×100

Step-by-step explanation:

In the diagram below segment AC is congruent to segment CE and segment BC is congruent to segment DC.
Why is triangle BCA congruent to triangle DCE?
See picture for full problem. Please and thank you!

Answers

Step-by-step explanation:

By reflection

HOPE THIS ANSWER HELPS YOU DEAR! TAKE CARE

" Draw three lines with slope 2, and three lines with slope 1/3. What do you notice "

Answers

Answer:

Step-by-step explanation:

all the lines with slope 2 are parallel with each-other

all the lines with slope 1/3 are parallel with each-other

all lines have positive slope so they go upward from left to right

slope 2 is steeper then slope 1/3

the distance between the parallel lines with slope (1/3) is greater for the lines with the slope 2

You answer 21 out of 25 questions correctly on a test. Did you reach your goal of getting 80% or better?

Answers

Answer:

Yes

Step-by-step explanation:

20 needed to get 80 %. You got one more than that so you got slightly more. So yes you did. You can also make 25 to 100 and 21 x4 so that gives you 84 % . So you scored %84.

Good job

DO NOT SEND LINKS OR I'LL REPORT! Find the value of X, it's a parallelogram. Offering 50 points

Answers

Answer:Whats the question or add a picture

Answer:

127 degree I guess because I don't see a picture

Step-by-step explanation:

is the picture showing 53 degrees

Hong paid $12.53 for a 7.03-kg bag of dog food. A few weeks later, he paid $14.64 for a 7.98-kg bag at a different store.
Find the unit price for each bag. Then state which bag is the better buy based on the unit price.

Round your answers to the nearest cent.

Answers

Answer: First bag unit price: 1.78

second bag unit price : 1.83

Step-by-step explanation:

divide the price by the weight. First bag is better

The length of a rectangle is increasing at a rate of 7 cm/s and its width is increasing at a rate of 3 cm/s. When the length is 11 cm and the width is 5 cm, how fast is the area of the rectangle increasing?

Answers

Answer: 89 cm^2/minute

Step-by-step explanation:

Initial Area: 11 x 5 = 55 cm^2

Area after 1 minute: 18 x 8 = 144 cm^2

The area of the triangle is increasing by

Find the perimeter. Simplify the answer.

Answers

Answer:

Step-by-step explanation:

Perimeter of square = u+u+u+u

= 4u

Here is the answer to the question

Linear or nonlinear:
why?

Answers

non-linear because for each value of x you have more than one value of y.

Answer:

nonlinear

Step-by-step explanation:

it is basically the opposite of linear graph

This gives that the graph of a nonlinear function is not a line. it's usually curved or sloppy it isn't a straight line

What trig function and angle is equivalent to sin(270°)?

Answers

Answer:

θradians sin(θ)

3π/2 -1

Step-by-step explanation:

leave a thanks if helped pls <3

The trigonometric function gives the ratio of different sides of a right-angle triangle. The trigonometric function and angle are equivalent to sin(270°).

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}\\\\\\[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

Given the trigonometric function sin(270°) which can be written in the form of radian angle. So that the value of the angle is the same. Therefore, the trigonometric function and angle that is equivalent to sin(270°) can be written as,

sin(270°) = sin(3π/2) = -1

Also, if the trigonometric function is needed to be changed then we can write,

sin(3π/2) = cos(π) = cos(180°) = -1

Hence, the trigonometric function and angle are equivalent to sin(270°).

Learn more about Trigonometric functions:

https://brainly.com/question/6904750

#SPJ2

solve the inequality 4x-3=2x+7

Answers

Answer: x=-2

Step-by-step explanation:

Add three to both sides of the equation

4x-3=2x+7

4−3+3=2−7+3

simplify

4=2−4

4−2=2x-4−2

simplify

2=−4

Divide both sides of the equation by the same term

2=−4

2/2=−4/2

=−2

Answer: x = 5

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.x=5

PLEASR HELP MEEEE ASAP

Answers

Answer:

A: Yes, I agree. Why? Because if you look at the shape, its a triangle right, and a triangle both sides are equal, while the bottom line is not. But because both sides are equal, and half of the triangle is MPN and the other side is QPN, they both are congruent (or equal to)

B: Like I said, both MPN and QPN are both equal, and if you remove the P, it would still be the same because the shape has not changed.

I hope I helped :)

It takes 3/4 tsp. of vanilla to make a batch of cookies. How many tsp. would I needed for 4 batches of cookies?

Answers

Answer:

3/1 tsp. or 3 tsp.

Step-by-step explanation:

3/4 times 4

the sum of 4√5+√5 is .......

Answers

Answer:

4√5 + 5√5 = 9√5

Step-by-step explanation:

mark as brialist pls

for a brainlist please answer

Answers

Answer:

The variable should not be Less than or equal to... it should be GREATER than or equal to [[tex]y\geq 2x-4[/tex]]

Step-by-step explanation:

Answer:

I believe her mistake is that the shaded area is on the wrong side of the line.

Step-by-step explanation:

Main St. Fair thinks your wheel is broken – the 3 outcomes (Big, Small, and No prize) are not coming out exactly equal. Your wheel maker says that’s normal – the numbers should be close to each other but probably not exactly equal. Who do you think is right? Explain.

Answers

Answer:

Step-by-step explanation:

please help me. I need to find what W is

Answers

Answer:

Step-by-step explanation:

w+13-[tex]\frac{2w}{3}[/tex]=16

w · [tex]\frac{3}{3}[/tex] -[tex]\frac{2w}{3}[/tex]+13=16

[tex]\frac{w}{3}[/tex]+13=16

[tex]\frac{w}{3}[/tex]=3

w=9

What is the absolute value of - 2 2/3

Answers

Answer:

2 2/3

Step-by-step explanation:

absolute value means the distance between a number and 0 so therefore the absolute value s 2 2/3

There are 1580 adults and children on a ship. 60% of them are adults. When the ship arrives are harbour, some of the students alight and the percentage of adults remaining on the ship decreases by 20%. What is the ratio of the children to adults remaining on the ship?

Answers

Answer:

379 : 62

Step-by-step explanation:

Let’s gather the info from the problem.

1580 adults and children on a ship.

60% of them are adults.

percentage of adults and students remaining on the ship decreases by 20%

60% of 1580 is 948 so there are 948 adults onboard

leaving the remaining children which is 632

948 Adults

632 Children

Adults decreases by 20% so 758 adults

Children decreases by 20% so 124 children

the ratio is 758:124 simplified would be 379 : 62

NEED HELP NOW! SOLVE THE INEQUALITY: -r/3 ≤ 6

The r/3 is not division.. its a fraction. thx

Also.. once one person has answered... please don't answer more... i don't want ore than 10 points taken away. thank you so much

Answers

Answer:

[tex]r\geq -18[/tex]

Step-by-step explanation:

[tex]\frac{-r}{3} \leq 6\\\rule{150}{0.5}\\(\frac{-r}{3})*3\leq 6*3\\\\-r \leq 18\\\\\frac{-r \leq 18}{-1}\\\\\boxed{ r\geq -18}[/tex]

Hope this helps!

help will give brainliest

Answers

Answer: the answer is line 2

Step-by-step explanation:

The formula for area of a trapezoid is A =1/2 h(b1 + b2). Express h in terms of A, b1 and b2

Answers

Answer:

H is the height

Step-by-step explanation:

A= Area

B= Base

1/2= 0.5

Could someone please help me on this equation?

Answers

Answer:

y = (x+2)x7

Step-by-step explanation:

Answer:

y = 7x + 14

Step-by-step explanation:

1. Add 2 to x = x + 2

2. Multiply x + 2 by 7 = 7(x + 2)

3. Simplify: y = 7x + 14

What is the measurement of this angle?

Answers

Answer:

I believe it is 82.

Step-by-step explanation:

This is because a triangle's angles add up to 180. 180-65-33=82

Sorry if this is wrong

Kyla made 15 cups of pudding for a class. If there are 20 students in the class, how much with each student get? Write your answer as a fraction in lowest terms..

Answers

3/4 a cup
I believe this is the answer

Answer:

Each student get 3/4 cups.

Step-by-step explanation:

15÷20=0.75

turn into fraction

3/4

I answer this question before

24.0370085031 as a whole number

Answers

Answer:

Two hundred and forty billions, three hundred and seventy millions, eighty five thousand and thirty one

Step-by-step explanation:

STATION 5 ! GIVING BRAINLIEST TO WHOEVER ANSWER W AN GREAT EXPLNATION<3

Answers

Answer:

Step-by-step explanation:

Answer:

A, B, E

Step-by-step explanation:

I just put the number of fiction books over the number of nonfiction books. Then I plugged it into a calculator and if the answer was the same as 15/22, then it was right!

2385/3498=15/22

3945/5786=15/22

2340/3588≠15/22

2480/3410≠15/22

4650/6820≠15/22

2310/3696=15/22

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(05.05) Select the inequality that corresponds to the given graph. (5 points)

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(05.05)
Select the inequality that corresponds to the given graph. (5 points)