How do you solve this?

How Do You Solve This?

Answers

Answer 1
Answer:  Choice D.  (2,6)

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

Explanation:

If we plugged (x,y) = (0,8) into the first inequality, then we get

y < x^2+6

8 < 0^2+6

8 < 0+6

8 < 6

which is false. So we can rule out choice A.

----------------

Trying choice B leads us to

y < x^2+6

2 < 4^2+6

2 < 16+6

2 < 22

That last statement is true, so the first inequality is true for (x,y) = (4,2)

Let's try the other inequality

y > x^2-4

2 > 4^2-4

2 > 16-4

2 > 12

That's false. Since one of the inequalities is false (it doesn't matter which one), this means the entire system is false. We cross choice B off the list.

----------------

Now onto choice C

You should find that y < x^2+6 becomes -4 < 10 after plugging in (x,y) = (-2,-4). Since -4 < 10 is true, we move onto the next inequality.

The inequality y > x^2-4 becomes -4 > 0 after plugging in those mentioned x,y values. The inequality -4 > 0 is false.

We cross choice C off the list.

----------------

The only thing left is choice D. It has to be the answer.

Let's find out if we get true inequalities when plugging in (x,y) = (2,6)

y < x^2+6

6 < 2^2+6

6 < 10 ... true

and

y > x^2-4

6 > 2^2-4

6 > 4-4

6 > 0 .... also true

Both inequalities are true, so the entire system is true. Therefore, (x,y) = (2,6) is one of the infinitely many solutions to this system.

Choice D is confirmed as the answer

----------------

Refer to the diagram below. I've graphed the two dashed boundary curves and the shaded region between. This region is above the y = x^2-4 curve, and below the y = x^2+6 curve. So we're ignoring the stuff above the y = x^2+6 curve.

Points A through D represent the four answer choices in the order given. We see that point D is the only point in the shaded region, so that visually confirms we have the correct answer.

Note: points on the dashed boundaries do not count as solutions.

How Do You Solve This?

Related Questions

the union of 2 sets is all the elements of both set's, excluding the common elements true or false

Answers

Answer:

true

Step-by-step explanation:

AUB=A+B-(A∩B)

The area of a square is 81 cm squared find its perimeter​

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Answer:

the answer is 36

Step-by-step explanation:

I need help please PLEASE PLEASEEEEEEEE​

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I can’t barely see the sentence it cutt off

Answer:

Step-by-step explanation:

2) Three people shared some money in a
ratio of 4:3:5. The second person got
£21 as a result. How much money did
they share?

Answers

Answer:

£ 84

Step-by-step explanation:

Let :-

Total amount be x .

Given ratio :-

4 : 3 : 5 .

→ Sum of ratios = 4 + 3 + 5 = 12 .

According to Question :-

→ 3/12 × x = £21

→ x = £21 × 12/3

x = £ 84 .

Answer:

£84.

Step-by-step explanation:

There are 4 + 3 + 5 = 12 parts.

The second person got 3 parts so we can write:

3/12 x = 21      where x is the required amount of money

x = 21 * 12/3

= 21 * 4

= £84.

A line's y-intercept is 1, and its slope is -5. What is its equation in
slope-intercept form?
help please

Answers

y=-5x+1

Slope intercept form is y=mx+b

m is slope and b is the y-intercept
y= -5x+1
As general equation of y-intercept is y=mx +b

Hope it helps!

I need help finding the function.

Answers

Answer:

-2

Step-by-step explanation:

I hope it helps

If sin θ +cosec θ = 2 then sin2θ+ cosec2θ is equal to

a) 1 b) 4

c) 2 c) 9

Answers

Answer:

C

Step-by-step explanation:

We are given that:

[tex]\sin \theta +\csc \theta = 2[/tex]

And we want to find the value of:

[tex]\sin^2\theta + \csc^2\theta[/tex]

From the first equation, we can square both sides:

[tex](\sin \theta + \csc \theta)^2=(2)^2[/tex]

Square:

[tex]\sin ^2\theta +2\sin\theta\csc\theta +\csc^2\theta =4[/tex]

Let csc(θ) = 1 / sin(θ):

[tex]\displaystyle \sin ^2\theta +2\sin\theta\left(\frac{1}{\sin \theta}\right) +\csc^2\theta =4[/tex]

Simplify:

[tex]\displaystyle \sin ^2\theta +2(1) +\csc^2\theta =4[/tex]

Therefore:

[tex]\sin ^2\theta + \csc^2\theta =2[/tex]

Our answer is C.

B) 4 is the answer I believe

v = u + at
solve for a

Answers

Step-by-step explanation:

v = u + at

u+at=v

at = v-u

a = v-u

t

Hope this helps you :)

HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP ASAP

Answers

They are alternate Exteror angles and internet but as for the question they would be corresponding angles

Math help please and thank you :)

Answers

Answer:

173

Step-by-step explanation:

Area of dirt in the flower bed = area of flowerbed - area of 3 trapezoids

Area of flowerbed:

The flowerbed is in the shape of a parallelogram

The area of a parallelogram can be calculated by multiplying the base length times the height

Base length = 20ft

Height = 10ft

Area of flowerbed = 10 * 20 = 200ft^2

Area of rockbeds

The rockbeds are in the shape of trapezoids

The area of a trapezoid can be calculated using this formula

A = (a + b)/2 * h

Where a and b = bases and h = height

The rockbeds of base lengths of 2 and 4 and have heights of 3

So area of rockbeds = (4 + 2)/2 * 3

4 + 2 = 6

6 / 2 = 3

3 * 3 = 9

We then multiply that by 3 ( because there are three rockbeds )

9 * 3 = 27

Finally we subtract the areas

200 - 27 = 173

Helppppppp please ASAP

Answers

Ok so you do 37 divided by 12 and get 3.08 and round it to 3.1 then multiply 3.1 by 19
And your length for GH is 58.9

determine the volume of a cube with a side length of 7.5m​

Answers

Answer:

V≈421.88

Step-by-step explanation:

I kinda need help with this

Find the mean:40,13,49,53,35

Find the Range:40,13,49,53,35


Find the median:40,13,49,53,35

Answers

Answer:

mean: 38

range: 27

median: 40

Step-by-step explanation:

mean: 40+13+49+52+35 / 5

range: 40 - 13

median : 40

Answer:

Mean = 38

Range = 40

Median = 40

Step-by-step explanation:

Arrange the terms in ascending order :

13, 35 , 40 , 49 , 53

[tex]Mean = \frac{40 + 13 + 49 + 53 + 35}{5} = 38[/tex]

[tex]Range = {53 - 13} = 40[/tex]

[tex]Median = \ the \ middle \ term = 40[/tex]

A triangle has a angle of x, 40 and 30 what is the angle of x

Answers

Sum of interior angles of a triangle = 180°

x+40+30= 180°

x+ 70=180

x= 180-70

x= 110°

Answer:

x = 110

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180° , then

x + 40° + 30° = 180°

x + 70° = 180° ( subtract 70° from both sides )

x = 110°

At a show, there are 19 adults, 45 teenagers, and 36 children.

What is the probability that a person chosen at random from the audience is not a teenager?

Answers

Answer:

55% or 0.55 or 11/20

Step-by-step explanation:

probability the person chosen is an adult or child out of all

so 19+36/19+36+45

55/100

The probability that the selected person is not a teenager is [tex]\frac{11}{20}[/tex].

What is probability?

Probability is a measure of happening or non happening of the outcomes of the random experiment.

Probability formula

P(E) = Total number favorable of outcomes/ Total number of outcomes

Where,

P(E) is the probability of an event.

According to the given question.

Total number of adults in the audience = 19

Total number of teenagers in the audience = 45

Total number of children in the audience = 36

Total audience = 19 + 45 + 36 = 100

Now, the probability that the selected person is teenager = [tex]\frac{45}{100} = \frac{9}{20}[/tex]

Therefore,

The probability that a selected person is not a teenager

= [tex]1 -\frac{9}{20}[/tex]

= [tex]\frac{11}{20}[/tex]

Hence, the probability that the selected person is not a teenager is [tex]\frac{11}{20}[/tex].

Find out more information about probability here:

https://brainly.com/question/11234923

#SPJ2

11. In the diagram which of the following statements is true?
Angles 6 and 8 are supplementary
Angles 1 and 5 are corresponding
Angles 3 and 7 are vertically opposite
Angles 2 and 4 are alternate​

Answers

Answer:

Angles 1 and 5 are corresponding

If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?

Answers

Answer:

5050 = 225f + 125p

If p = 17 this month, then, f = 13

Step-by-step explanation:

Kiri owns a coworking space that has two primary types of memberships, full time and part-time. In order to pay her bills each month (rent on the building, electricity, internet, and so on) she needs to make $5050. Full-time memberships (f) cost $225 per month, and part-time memberships (p) cost $125 per month.

If Kiri has 17 part-time members this month, how many full-time members does she need according to your equation?

Total cost = $5050

cost of full-time memberships = $225

number of full time members = f

cost of part-time memberships = $125

number of part-time members = p

Total cost = cost of full-time memberships * number of full time members + cost of part-time memberships * number of part-time members

5050 = 225f + 125p

If p = 17 this month,

5050 = 225f + 125p

5050 = 225f + 125(17)

5050 = 225f + 2,125

5050 - 2,125 = 225f

2,925 = 225f

f = 2,925/225

f = 13

number of full time members = f = 13

If p = 17 this month, then, f = 13

(HELP) A glass jar contains 5 red, 7 green, 9 blue and 11 yellow marbles. If a single marble is picked at random from the jar, what is the probability of it being a blue marble? *

1/11
5/18
9/32
5/12

Answers

Answer:

Find the volume of this prism.

?‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Answers

Answer:

Step-by-step explanation:

She made the -2(6) as a positive 12. it should've been a negative 12 because a negative multiplied by a positive is a negative.

Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26. What is the solution set of this problem?
O (,-21)
O (--,-21]
O [-21,700)
O (21,+0)

Answers

The correct answer is D

Which expression is equivalent to (x^4/3 x^2/3)^1/3
?

x^2/9
x^2/3
x^8/27
x^7/3

Answers

Answer:

X^2/3

Step-by-step explanation:

Two towns, A and B, are 198 kilometres apart.
a) Kenan travelled by car from A to B at an average speed of 66km/h.
How long did his journey take?
11
hours?

Answers

Answer:

t = 3 hours

Step-by-step explanation:

The distance between A and B is 198 km

Kenan traveled by car from A to B at an average speed of 66km/h

We need to find the time taken to complete the journey. It can be solved as follows :

[tex]v=\dfrac{d}{t}\\\\t=\dfrac{d}{v}\\\\t=\dfrac{198}{66}\\\\t=3\ h[/tex]

So, the required time is equal to 3 hours.

Two similar triangles, the perimeter of the first is 74cm and the side lengths of the other one are 4.5cm 6cm and 8 cm. Find the length of the longest side of the first triangle.

Answers

Answer:

the longest side of the first triangle is 32 cm

Step-by-step explanation:

Given;

dimension of the smaller triangle =  4.5cm 6cm and 8 cm.

the longest side of this smaller triangle = 8 cm

Perimeter of the first triangle = 74 cm

let the increase in dimension of the similar first triangle = x

the longest side of the first triangle = 8x

4.5x + 6x + 8x = 74

18.5x = 74

x = 74/18.5

x = 4

the longest side of the first triangle = 8 x 4 = 32 cm

1. For each relation, state
i) the domain and the range
ii) whether or not it is a function, and justify your answer

Answers

Answer:

A and C are functions.

The domain is x and the range is y

Step-by-step explanation:

Each x - value can have only one y -value

Function= unique x-values

Y can be the same answer but the X has to be different

Two sides of an obtuse triangle measure 9 inches and 14 inches. The length of longest side is unknown.

Answers

Answer:

16.6 inches

Step-by-step explanation:

using the pythagorean theorem which is a^2 + b^2 = c^2 you can add 9^2 + 14^ together to get 277 and when you find the square root of 277 you get 16.6

Find the mean of the data.
The number of trophies won by
each team in the district.
1, 3, 1, 5, 7, 8, 10
Mean: [? ] trophies

Answers

Answer:

5

Step-by-step explanation:

answer: 5

explanation:
1 + 1 + 3 + 5 + 7 + 8 + 10= 35
35 divided by 7 (how many number you added up to get 35)
and then 35 divided by 7 is 5

hope this helped :))

To find the slope of the trend line below Reilly chose the points (1,80) and (2,30). explain whether the points she chose will help her write the correct equation of the line and find the equation of a trend line

Answers

Answer:

We can't see the graph

Step-by-step explanation:

In the system of equations , x represents .... ( please answer 12a and 12b )

Answers

Answer:

x = cost of each t-shirt

y = cost of each sweatshirt

Step-by-step explanation:

Given equation:

2x + 2y = 26 (1)

x + 3y = 33 (2)

From (2)

x = 33 - 3y

Substitute x = 33 - 3y into (1)

2x + 2y = 26 (1)

2(33 - 3y) + 2y = 26

66 - 6y + 2y = 26

- 6y + 2y = 26 - 66

-4y = -40

y = -40/-4

y = 10

Substitute y = 10 into (2)

x + 3y = 33 (2)

x + 3(10) = 33

x + 30 = 33

x = 33 - 30

x = 3

Where,

x = cost of each t-shirt = $3

y = cost of each sweatshirt = $10

Tony sold t-shirts and hats at the festival. He made a $4 profit for each t-shirt he sold. He also made a profit of $34 from selling hats. If he made a total profit of $106, how many t-shirts did he sell?

Answers

Answer:

18 T-shirts

Step-by-step explanation:

$4×18= $72 $72+$34=$106

18 t shirts

106 - 34 = 72
72 / 4 = 18

A box shown below is to paint blue except the bottom. What is the area of the surface, and square inches, that will be covered with the paint?

Answers

Answer:

186

Step-by-step explanation:

Your entire surface area is

216

the area of the rectangle on the bottom is 30

substract 30 from 216

the answer is 186 cause u subtract 30 from 216
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