Which ordered pair is included in the solution set to the following system?

y > x2 + 1
y < x2 – x + 1


(–3, 4)
(–2, 6)
(0, 2)
(2, 4)

Answers

Answer 1

Inequalities help us to compare two unequal expressions. The correct option is B.

What are inequalities?

Inequalities help us to compare two unequal expressions. Also, it helps us to compare the non-equal expressions so that an equation can be formed. It is mostly denoted by the symbol <, >, ≤, and ≥.

The ordered pair which will satisfy both the inequalities will be the solution to the system of inequalities. Therefore, let's substitute each solution in the given inequalities,

A.) (–3, 4)

y > x² + 1

          4 > (-3)² + 1

Since the first inequality is not satisfied this is not a part of the solution.

B.) (–2, 6)

y > x² + 1

          6 > (-2)² + 1

          6 > 5

y < x² – x + 1

          6 < (-2)² - (-2) + 1

          6 < 7

Since both the inequalities are satisfied this is the solution to the given system of inequalities.

C.) (0, 2)

y > x² + 1

          2 > 0 + 1

          2 > 1

y < x² – x + 1

          2 < (0)² - (0) + 1

          2 < 1

Since the second inequality is not satisfied this is not a part of the solution.

B.) (2,4)

y > x² + 1

          4 > (2)² + 1

          4 > 5

Since the first inequality is not satisfied this is not a part of the solution.

Hence, the correct option is B.

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Which Ordered Pair Is Included In The Solution Set To The Following System?y &gt; X2 + 1y &lt; X2 X +

Related Questions

[tex]\Large\text{HELP ASAP!!!!!}[/tex]

[tex]\boxed{\stackrel\circ\circ\boxed{\textbf{what is the sin of -4\pi /3??$}}\stackrel\circ\circ}[/tex]
[tex]\dfrac{\sqrt{~~} }{[~~]}[/tex] [tex]\text{that's what the answer should look like}[/tex]

[tex]\text{Spam will NOT be tolerated!!!!!}[/tex]

Answers

Step-by-step explanation:

Did you mean.

[tex] \text{what \: is \: the \:sin \: of } \: - \frac{4\pi}{3} \: ?[/tex]

[tex] \: [/tex]

[tex] = \sin( - \frac{4\pi}{3} ) [/tex]

[tex] = \sin( - \frac{4 \times 180 \degree}{3} ) [/tex]

[tex] = \sin( - \frac{4 \times \cancel{180} \degree}{ \cancel3} ) [/tex]

[tex] = \sin( - 4 \times 60 \degree) [/tex]

[tex] = \sin( - 240 \degree) [/tex]

[tex] = \sin(0 - 240 \degree) [/tex]

[tex] = \sin(360 \degree - 240 \degree) [/tex]

[tex] = \sin(120 \degree) [/tex]

[tex] = \frac{1}{2} \sqrt{3} \: \: \text{is \: the \: answer}[/tex]

What is the length of a 90 degree arc of a circle with the radius of 11 cm

Answers

Answer: 17.28 cm

Step-by-Step Explanation:

Angle (θ) = 90 degree
Radius (r) = 11 cm

Length of Arc = θ/360 * 2πr

Therefore,
= θ/360 * 2πr
= 90/360 * 2 * 22/7 * 11
= 1/4 * 2 * 22/7 * 11
= 1/2 * 22/7 * 11
= 11/7 * 11
= 121/7
=> 17.28

Length of Arc = 17.28 cm

The axis of symmetry for the function f(x) = −x2 − 10x + 16 is x = −5. What are the coordinates of the vertex of the graph?
(−5, 41)
(−5, 56)
(−5, 76)
(−5, 91)

Answers

Answer:

the graph of f(x)= -2-10x+16

Answer:

the vertex would be (-5,41)

Step-by-step explanation:

You just plug the -5 back into the equation to get 41

A sequence has three terms.
Its term-to-term rule is
multiply by 6 and then add 13
a) The first term of the sequence is -2
Work out the third term.
b) The order of the three terms of the sequence is reversed.
Describe the term-to-term rule of the new sequence.

Answers

Answer:

a) The third term is 19
b) The new term-to-term rule is subtract 13 and then divide by 6.

Step-by-step explanation:

First term: -2
Second term: 1 (-2 * 6 = -12 + 13 = 1)
Third term: 19 (1 * 6 = 6 + 13 = 19)

Our reversed sequence is now 19, 1, -2

First term: 19

Second term: 1 (19 - 13 = 6 / 6 = 1)

Third term: -2 (1 - 13 = -12 / 6 = -2)

It's term is -3 it can be divided into 6 points +79

Find the length of side x in simplest radical form with a rational denominator.
30°
60°
√12
D

Answers

The value of x is 10√3 .

The missing figure is attached with the answer

What is a Triangle ?

A triangle is a polygon with three sides , three angles and three vertices.

A right angle is a triangle in which one of the sides of a triangle is equal to 90 degree.

As it is a right angled triangle therefore the trigonometric ratios are applicable

From the given figure sin 60 needs to be determine to find the value of x

sin x = Perpendicular / Hypotenuse

sin 60 = 5 / x

[tex]\rm \dfrac{\sqrt{3}}{2} = \dfrac{5}{x}[/tex]

x = 10√3

Therefore the value of x is 10√3

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Simplify the expression

Answers

Answer:

[tex]2*2^1^/^4[/tex]

(≈2.378)

Step-by-step explanation:

we know that:

[tex]a^x*a^y=a^x^+^y[/tex]

[this is the same as multiplying any exponents]

3/4 + 1/2 = 1 + 1/4

if [[tex]a^x*a^y=a^x^+^y[/tex]], then [[tex]a^x^+^y=a^x*a^y[/tex]] must also be true

so,

[tex]2^1^+^1^/^4=2^1*2^1^/^4\\[/tex]

= [tex]2*2^1^/^4[/tex]

([tex]2^1^/^4 = 1.189207115[/tex])

1.189207115 · 2 = 2.37841423001

(rounded to 2.378)

Answer:

[tex]2*2^1^/^4[/tex]

(2.37841)

Explanation:

3/4 + 1/2 = 1 + 1/4

= [tex]2*2^1^/^4[/tex]

([tex]2^1^/^4 = 1.189207115[/tex])

(2)(1.189207115) = 2.37841423001


Mr Abdul made tuna and curry potato filling for some puffs.3/5 of the filling he made was tuna and the rest was curry potato.
After he used 1/8kg of the tuna filling and made another 3/4
kg of curry potato filling, he then had equal amounts of tuna filling
and curry potato filling left. How much tuna filling did he make at first?
Give your answer as a mixed number in its simplest form

Answers

At first, he made [tex]2\frac{5}{8}[/tex] kg of tuna filling.

Mr Abdul made tuna and curry potato filling for some puffs.

3/5 of the filling he made was tuna and the rest was curry potato.

So, amount of curry potato = 1- 3/5 = 2/5

Ratio of tuna & curry potato = tuna : curry potato

                                               = 3/5 : 2/5  = 3 : 2

Let amount of tuna = 3x & amount of curry potato = 2x

After he used 1/8kg of the tuna filling and made another 3/4 kg of curry potato filling.

According to the question, he then had equal amounts of tuna filling and curry potato filling left.

So, 3x - 1/8 = 2x + 3/4

Multiplying 8 in both sides we get,

⇒ 24x - 1 = 16x +6

⇒ 24x - 16x = 7

⇒ 8x = 7

⇒ x = 7/8

So, 3x = (3×7/8) = 21/8 kg = [tex]2\frac{5}{8}[/tex] tuna filling at first.

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Select the correct answer.
Which set of coordinates satisfies the system of equations y=x-3 and y=-2x+1?
Y
w
A
N
9
83
B
-1
-2
3
5
C
3
4
O

Answers

Answer: [tex]\left(\frac{4}{3}, -\frac{5}{3} \right)[/tex]

Step-by-step explanation:

Setting the equations equal to each other.

[tex]x-3=-2x+1\\\\3x=4\\\\x=\frac{4}{3}\\\\\implies y=\frac{4}{3}-3=-\frac{5}{3}[/tex]

I’m confused I need help

Answers

Answer:

x-intercept: -4

Step-by-step explanation:

It's where the slope intercepts with the x-axis

Answer:

Step-by-step explanation:

x-intercept:  the x-value is that when y = 0:  (-4, 0).

y-intercept:  the y-value when x = 0: (0, 5)

If the rejection region is +1.10, what will be your decision if the z computed value is 2.34

Answers

The decision when the z value is within the rejection region is that we'll have to reject the null hypothesis.

What is a rejection region?

It should be noted that the rejection region is also known as the critical region. It is the set of values where the null hypothesis is rejected.

When the observed test statistic is in the rejection region, we'll have to reject the null hypothesis and then accept rte alternative hypothesis.

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Find the equivalent exponential expression. [(-4)^5]^3

Answers

Answer:

[tex]-4^{15}[/tex]

Step-by-step explanation:

Given expression:

[tex]\left[(-4)^5\right]^3[/tex]

[tex]\textsf{Apply exponent rule} \quad (a^b)^c=a^{bc}:[/tex]

[tex]\implies (-4)^{(5 \times 3)}[/tex]

[tex]\implies (-4)^{15}[/tex]

[tex]\textsf{Apply exponent rule} \quad (-a)^n=-a^n,\:\: \textsf{ if }n \textsf{ is odd}:[/tex]

[tex]\implies -4^{15}[/tex]

The point stope form of the equation of the line that passes through (-4,-3) and (12, 1) is y-1 = (x-12). What is
the standard form of the equation for this line?

Answers

Answer:

x-4y = 8

Step-by-step explanation:

The standard form for the equation of a line is Ax+By=C  where A is a positive integer and B and C are integers

First we need to find the slope

m = ( y2-y1)/(x2-x1)

m = (-3-1) / (-4-12)

     =-4/-16

    = 1/4

The point slope form is

y-1 = 1/4(x-12)

Multiply each side by 4

4(y-1 )= 4*1/4(x-12)

4(y-1) = x-12

4y -4 = x-12

Subtract 4y from each side

4y-4-4y = x-4y -12

-4 = x-4y -12

Add 12 to each side

-4+12 = x-4y -12+12

8 = x-4y

x-4y = 8

The standard form is x-4y = 8

How many solutions are there for the system of equations of shown on the graph?
O No solution
O One solution
O Two solutions
O Infinitely many solutions

Answers

Answer:

one solution

(second option listed)

Step-by-step explanation:

We can that these two lines, each representing one equation/function, only meet at one specific value.

In a system of equations, we are essentially looking for a solution that works for both equations.

So, if both lines share a point/value (meaning they intersect), that point is a solution to the system of equations.

Because these lines only overlap at one point, this system of equations has one solution.

Answer:

1 solution (C)

Explanation:

They have one point of intersection.

Need help urgently please

Answers

Answer:

x =  -12

y = 3

Step-by-step explanation:

[tex]1/2x + 6(x+15) = 12\\1/2x + 6x + 90 = 12\\6\frac{1}{2} x + 90 = 12\\6\frac{1}{2} x= -78\\x = -12[/tex]

[tex]y = x + 15\\y = -12 + 15\\y = 3[/tex]

The answers is x = -12

Check
The tiles on the left contain functions written using function r
g(f) = 2f
f(h) = h - 7
h(g) = -4+g

Answers

The input values for each of the given functions are as outlined below.

How to identify input values of functions?

Input values are also defined as domain which is the set of input values for which the function is defined. Thus, let us look at each of the given functions;

1) g(f) = 2f. The input value here is f

2) f(h) = h - 7. The input value here is h.

3) h(g) = -4 + g. The input value here is g

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Identify the conclusion of the conditional statement:

If an animal is a fish, then it lives in the water.

Answers

Answer:

Conclusion : it lives in the water

Step-by-step explanation:

Concept :The conclusion of a conditional statement is the result of the hypothesis. The “then” part of an if-then statement is called the conclusion.

therefore, for the given statement,

the 'then' part is 'it lives in the water'

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Round each of these numbers to the degree of accuracy shown in brackets. d) 34 766 (nearest hundred) please help me​

Answers

Answer:

34800

Step-by-step explanation:

As, the nearest hundred to 766 is 800.

A cell phone plan charges $38 a month, and an additional $12 a month for each gb of data used. write an equation for the monthly cost (y) of the cell phone plan in terms of the number of gb of data used (x).

Answers

Answer:

y = 38 + 12x

Step-by-step explanation:

38is fixed cost per month and since the charge is $12 per GB, the variable cost is 12x where x is the GB used

Given lJK , which is an isosceles right triangle, IJ=4 and m

Answers

Answer:

[tex]IK = IJ\sqrt{2}[/tex]

Step-by-step explanation:

First, it's an isosceles right triangle, which means there is a 90 degree angle and the two other angles are equal.

To find what the two other angles are, you can set up a quick equation:

let x be angle

90 + 2x = 180, since the sum of the interior angles in a triangle is always 180.

then,

[tex]2x = 90\\x = 45[/tex]

Therefore, the triangle is a 45-45-90 triangle.

You have the measure of IJ, which is one of the legs of the triangle. The way you can find the length of the hypotenuse of a 45-45-90 triangle is by multiplying the length of one of the legs by [tex]\sqrt{2}[/tex].

This means the equation is [tex]IK = IJ\sqrt{2}[/tex]

Answer:

[tex]\sf IK=IJ\sqrt{2}[/tex]

Step-by-step explanation:

The interior angles of a triangle sum to 180°.  Therefore, if ΔIJK is an isosceles right triangle where m∠J = 90°:

vertex is m∠J = 90°two base angles are m∠K and m∠I

To calculate the base angles:

⇒ m∠K + m∠I + m∠J = 180°

⇒ m∠K + m∠I + 90° = 180°

⇒ m∠K + m∠I = 90°

⇒ m∠K = m∠I = 45°

Therefore, IJ and JK are the legs of the right triangle and IK is the hypotenuse.

To find the length of the hypotenuse, use Pythagoras' Theorem.

Pythagoras’ Theorem:  [tex]\sf a^2+b^2=c^2[/tex]

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

Given:

a = IJ = 4b = JK = 4c = IK

Substitute the given values into the formula and solve for IK:

[tex]\sf \implies IJ^2+JK^2=IK^2[/tex]

[tex]\sf \implies 4^2+4^2=IK^2[/tex]

[tex]\sf \implies IK^2=32[/tex]

[tex]\implies \sf IK=\sqrt{32}[/tex]

[tex]\implies \sf IK=\sqrt{16 \cdot 2}[/tex]

[tex]\implies \sf IK=\sqrt{16}\sqrt{2}[/tex]

[tex]\implies \sf IK=4\sqrt{2}[/tex]

As IJ = 4 then:

[tex]\implies \sf IK=IJ\sqrt{2}[/tex]

Ella has a collection of vintage action figures that is worth $430. If the collection
appreciates at a rate of 4% per year, which equation represents the value of the
collection after 7 years?

Answers

The equation representing the value of the collection after 7 years is  value of collection = 430 + (0.04 * 430 )* 7 or value of collection = $550.4

What is an Equation ?

An equation is a mathematical statement , where the algebraic expression is equated to another algebraic expression.

It is given that

Ella has a collection of vintage action figures that is worth $430.

collection

appreciates at a rate of 4% per year

equation representing the value of the collection after 7 years is

value of collection = 430 + (0.04 * 430 )* t

value of collection = 430 + (0.04 * 430 )* 7

= $550.4

Therefore the equation representing the value of the collection after 7 years is  value of collection = 430 + (0.04 * 430 )* 7 or value of collection = $550.4

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[tex](1/8)^-^3^a=512^3^a[/tex]

Answers

The equation [tex](\frac18)^{-3a} = 512^{3a}[/tex] as no solution

How to solve the equation?

The equation is given as:

[tex](\frac18)^{-3a} = 512^{3a}[/tex]

Express the equation as a base of 2

[tex](2^{-3})^{-3a} = 2^{9*3a}[/tex]

Evaluate the products

[tex]2^{9a} = 2^{27a}[/tex]

Cancel out the common base

9a = 27a

The above equation is not true because [tex]9a \ne 27a[/tex]

Hence, the equation [tex](\frac18)^{-3a} = 512^{3a}[/tex] as no solution

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Part A Can image 1 be the reflected figure from question 1? Explain your answer.

Answers

The resulting reflected image would be congruent to image 1, i.e. have congruent corresponding sides.

What is transformation?

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and translation.

Reflection is a rigid transformation, hence it does not affect the size and shape of the object or pre-image.

The resulting reflected image would be congruent to image 1, i.e. have congruent corresponding sides.

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Determine the solution to the system of equations graphed below and explain your reasoning and complete sentences
g(x)=-2x-3
f(x)= |x+1|-4

Answers

Answer:

  (x, y) = (0, -3)

Step-by-step explanation:

On a graph, the solution to a system of equations is the set of points where the graphs of the equations intersect.

__

solution

The graphs for this system of equations intersect at the point (0, -3). That point is the only solution for this system of equations.

The solution is (x, y) = (0, -3).

At a gymnastics meet, twenty gymnasts compete for first, second, and third place.

How many ways can first, second, and third place be assigned

Answers

There 6840 ways  can first, second, and third place be assigned.

What is Permutation?

A permutation is a mathematical technique that determines the number of possible arrangements in a set when the order of the arrangements matters.

We will use the concept of permutation

[tex]^{20}P_3[/tex]= 20!/ (20-3)!

     = 20*19*18*17!/ 17!

    = 6840 ways.

Hence, there are 6840 ways.

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solve for z z - 6 < 3

Answers

Step-by-step explanation:

[tex]z - 6 < 3 \\ z < 3 + 6 \\ z < 9[/tex]

Hope it helps

✏️Answer ✍️

Z – 6 < 3

Z < 3 + 6

Z < 9

✯Hope this helps✯✿..๑... Ziddi girl ♡..✧

A boy earned $435, $230, and $562 for 3 consecutive months. How much did he earn in the fourth month so that he gets an average earning of $500 in these 4 months?

Answers

Answer:

The boy earned $773 in the fourth month.

Step-by-step explanation:

1) First, we need to find the total amount of money he needs so that the average of the 4 months would be 500. We can do this by multiplying 500 and 4 (essentially, we are working backward when trying to find the average) [tex]500*4=2000[/tex] So, we know that the boy needs $2000 total by the end of the fourth month to make the 4-month average $500.

2) Now, we know how much the boy made for the first 3 consecutive months, so add those numbers up. [tex]435+230+562=1227[/tex] So within the first 3 months, the boy made $1227.

3) Finally, we know how much money the boy needs by the end of the fourth month and how much he made by the third, so to figure out how much he earned in the fourth month, we can simply subtract $1227 from $2000. [tex]2000-1227=773[/tex]

What are the slope and the y-intercept of the linear function that is represented by the graph?

answer C is “The slope is Negative three-fourths, and the y-intercept is 3.”

answer D is “The slope is Negative three-fourths, and the y-intercept is 4”

Answers

Answer:

“The slope is Negative three-fourths, and the y-intercept is 3.”

Step-by-step explanation:

the graph passes through the points (0 , 3) and (4 , 0)

Then

The slope is :

[tex]=\frac{0-3}{4-0}[/tex]

[tex]=-\frac{3}{4}[/tex]

Since , the graph passes through (0 , 3)

THen the y-intercept is 3.

What is the common ratio between successive terms in the sequence?
27, 9, 9, 1,
3,
of

Answers

Answer:

What is the common ratio between successive terms in the sequence?

27, 9, 9, 1,

3,

of

Can someone explain this?

Answers

Answer:

false

Step-by-step explanation:

if the 2 shorter segments dont add up to be equal or greater to the longest segment, then its impossible for a triangle to be formed :)

Answer:

True

Step-by-step explanation:

General formulas and concepts:
Subject: Geometry

Unit: Triangular Line Segments

Definitions:

Triangle Inequality Theorem

The triangle inequality theorem states that the sum of the lengths of any two sides of a triangle is greater than the length of the third side.

Steps:

Use the triangle inequality theorem:

9 + 4 > 11

13 >  11 ⇒  True

9 + 11 > 4

20 > 4 ⇒ True

4 + 11 > 9

15 > 9 ⇒ True

Conclusion:

Because the 3 segments that are given satisfy the statements of the triangle inequality theorem, they can therefore form a triangle.

There are 130 people in a sport centre.
73 people use the gym.
62 people use the swimming pool.
58 people use the track.
22 people use the gym and the pool.
29 people use the pool and the track.
25 people use the gym and the track.
11 people use all three facilities.
Given that a randomly selected person
uses the gym and the track, what is
the probability they do not use the
swimming pool?

Answers

substract every person using pool from gym and track

73-22=51
58-29=29
Now add them,
51+29=80
substract the people who uses everything which was
80-11=69

69 in the answer
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