Which is true about the domain and range of a function in the form f(x) = m, where m is a real number greater than 0? The only value that must be in both the domain and range is 0. The only values that must be in both the domain and range are 0 and 1. There are no values that are in the domain and the range. There is an infinite number of values that are in both the domain and range.

Answers

Answer 1

There is an infinite number of values that are in both the domain and range.

Here, we are given a function f(x) = m, where m is a real number greater than 0.

For a function, domain is all the input values that the function can take and range is all the output value that the function can take.

Here, all the x values are the domain and the set of all the values that m can take is the range of the function.

Here m can take all values except 0. Whereas there is no constraint on the x values.

Since the range can never have the value 0, options 1 and 2 are eliminated.

Clearly, there can be many values that are both in the domain and range of the given function.

Thus, there is an infinite number of values that are in both the domain and range.

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Related Questions

what is the division law of exponents?

Answers

a^x / a^y= a^x-y
(^ means exponents)

The bowling team at Lincoln High School must choose a president, vice president, and secretary. If the team has 10 members, how many ways could the officers be chosen?

Answers

Answer:

210 ways

Step-by-step explanation:

This is a combinatorics problem of the general nature of choosing r elements from a sample of n elements

It is indicated by the term
[tex]C(n,r) = $\displaystyle \binom{n}{r} = \dfrac{n!}{( r! (n - r)! )$}\\\\[/tex]

where n! represents the factorial of n = n x (n-1) x (n-2) x .... 3 x 2 x 1

With n = 10, r = 3 there are C(10, 3) ways of choosing the officers

[tex]C(n,r) = C(10,4)\\\\= \dfrac{10!}{4! (10 - 4)! }\\\\\\[/tex]

[tex]= \dfrac{10!}{4! \times 6! }[/tex]

[tex]$\displaystyle = 210[/tex]

Please help me! Thank you :)

Answers

The required measure of x and y for the concurrent triangle is 4 and 2 respectively.


What is congruent geometry?

In congruent geometry, the shapes that are so identical. can be superimposed on themselves.

here,
Since the triangle is are concurrent triangle,
x + 4 = 4y - - - - (1)
x = y + 2 - - - - (2)
Solving the above system of the equation,
y + 2 + 4 = 4y
6 = 3y
y = 6 / 3
y = 2
Now put this y in equation 2
x = 2 + 2
x = 4

Thus, the required measure of x and y for the concurrent triangle is 4 and 2 respectively.

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Calculate the rise and run to find the slope of each line! Please help me!!!

Answers

The slope of a line indicates how steep it is. Slope is defined mathematically as "rise over run" (change in y divided by change in x).

slope of the line  = -5/4.

How do you find a slope of a line?Choose two points on the line and calculate their coordinates. Determine the difference in y-coordinates between these two points (rise). Determine the difference in x-coordinates between these two points (run). Divide the difference in y-coordinates by the difference in x-coordinates (rise/run or slope).The slope of a line indicates how steep it is. Slope is defined mathematically as "rise over run" (change in y divided by change in x).The slope-intercept form is written as y = mx+b, where m is the slope and b is the y-intercept (the point where the line crosses the y-axis). It is usually simple to graph a line using y=mx+b.

The line pass through the points (-3, 2) and (1, -3)

The formula for finding slope from two points (x₁, y₁) and (x₂, y₂) on a line is m = (y₂ - y₁) / (x₂ - x₁). Here, m = slope of the line

m = -3-2/1 +3 = -5/ 4

slope of the line  = -5/4.

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Choose the brand of chips with the lowest price per ounce.Brand A 20 ounces for $2.50Brand B 32 ounces for $3.25 O Brand AO Brand BO Both brands have the same price per ounce.O Not enough information is given

Answers

Answer:

Brand B

Explanation:

The cost for each brand is given below:

• Brand A: 20 ounces for $2.50

,

• Brand B: 32 ounces for $3.25

To determine the price per ounce for each brand, divide the cost by the number of ounces.

[tex]\begin{gathered} \text{Price Per Ounce for Brand A: }\frac{\$2.50}{20\text{ ounces}}=\$0.13\text{ per ounce} \\ \text{Price Per Ounce for Brand B: }\frac{\$3.25}{32\text{ ounces}}=\$0.10\text{ per ounce} \end{gathered}[/tex]

This, we see that Brand B has the lowest price per ounce.

please help me with this.​

Answers

The equation for g(x) =  -(x + 1)² - 4.

Where f(x) = x².

Solution:

The given parent function is ,

f(x)= x²

Begin by solving the equation f(x) = x². Write the equation for the g(x) graph that has been flipped or reflected over the x-axis.

f1(x) = -f(x)

So,

f1(x) = -x²

Apply the equation and create an equation for the graph of g(x).

It has also been moved down 4 units.

f2(x) = f1(x) -4

f2(x) = -x² - 4

Apply the equation from above step. Create an equation for the graph of g(x).

1 unit has also been shifted to the left.

g(x) = f2( x + 1)

g(x) = -(x + 1)² - 4

As a result, the required equation is.

g(x) = -(x + 1)² - 4.

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Simplify and write an exponential form (2^3) (2^5•2^0x^5/ 3^2x^3y^4)

Answers

Answer:

8 · (32 · x^5 / 9 x^3 y^4)

Write each fraction as a decimal 3\5

Answers

Answer:

0.6

Step-by-step explanation:

3/5 as a decimal is 0.6; divide the numerator by the denominator. :)

.038 ÷.02 I need help to show the work for this problem.

Answers

Answer:

The answer would be 1.9

There really is no way to show the work on this problem since it is decimals

Sarah, Leah, Haley, Lindsay, and Kim bought 4 bottles of water to share among themselves. They divided each bottle of water into 5 equal portions. Sarah took 1 portion from each bottle of water. Which equation represents how much of a bottle of water Sarah took?

Answers

Sarah has taken 4/5 portion of the available water bottles.

How is a ratio determined?
Majority of the explanations for ratio and proportion use fractions. A ratio is a fraction that is expressed as a:b, but a proportion says that two ratios are equal. In this case, a and b can be any two integers. A ratio is a comparison or condensed version of two quantities of the same type. We may determine how many times one quantity is equal to another using this relationship. The ratio can be defined as the number that can be used to represent one quantity as a percentage of another.

Given, Total number of water bottles bought = 4
Total number of people sharing the bottles = 5
Since each bottle is divided in equal portion, each portion of bottle = 1/5
Also, Sarah took one portion from each of the four bottles, thus
Sarah has portion of water = 4*(1/5) = 4/5
Sarah has taken 4/5 portion of the available water bottles.

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use similar triangles to calculate the height h cm of triangale abe

Answers

The height of ∆EBA is 24cm in the given question where two triangles are similar.

What are similar triangles?

Similar triangles are triangles that have the same shape but differ in size. Similar objects include all equilateral triangles and squares with any side length. In other words, if two triangles are similar, their corresponding angles and sides are congruent and in equal proportion. The " symbol here denotes the similarity of triangles.

We know that in two similar triangles, the ratio of corresponding sides are equal to ratio of their heights.

We have given that ∆DBC ≅ ∆EBA

So,

⇒ (36-h)/h = DC/AE

⇒ (36-h)/h = 10/20

Using cross multiplication

⇒ 20(36-h) = 10h

⇒ 720 - 20h = 10h

⇒ - 20h -10h = -720

⇒ -30h = -720

⇒ 30h = 720

⇒ h = 720/30

⇒ h = 24

Thus, the height of ∆EBA is 24cm in the given question where two triangles are similar.

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Full question

Use similar triangles to calculate the height, h cm, of triangle ABE.

10 cm

С

В.

36 cm

E

20 cm

List the first five multiples of 20. List the first five multiples of 30..​

Answers

Answer:

First five multiples of 20 are: 20,40,60,80 and 100.

First five multiples of 30 are: 30,60,90,120, and 150.

Answer: for 20 it is 20,40,60,80,100

For 30 it is 30,60,90,120,150

Step-by-step explanation:

here’s another way you can multiply 20 and 30 by 1 and above hope this will help

Find the slope intercept form of 5x+20y=600
PLEASE SHOW ALL STEPS!!!!!!!

Answers

Answer:

[tex]\textsf{Slope-intercept form}: \quad y=-\dfrac{1}{4}x+30[/tex]

[tex]\textsf{Slope}: \quad -\dfrac{1}{4}[/tex]

[tex]\textsf{$y$-intercept}: \quad 30[/tex]

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{6.3 cm}\underline{Slope-intercept form of a linear equation}\\\\$y=mx+b$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $b$ is the $y$-intercept.\\\end{minipage}}[/tex]

Given equation:

[tex]5x + 20y = 600[/tex]

To convert the given equation to slope-intercept form:

Subtract 5x from both sides.Divide both sides by 20.

[tex]\boxed{\begin{array}{rccccccc}5x &+ & 20y & = & 600&&&\\-5x & & & && -5x &&\\\\\cline{1-8}\\& & \dfrac{20y}{20} & = & \dfrac{-5x}{20} & + & \dfrac{600}{20}\\\\&& y&=&-\dfrac{1}{4}x & + & 30\end{array}}[/tex]

[tex]\textsf{Slope-intercept form}: \quad y=-\dfrac{1}{4}x+30[/tex]

[tex]\textsf{Slope}: \quad -\dfrac{1}{4}[/tex]

[tex]\textsf{$y$-intercept}: \quad 30[/tex]

The perimeter of the rectangle below is 88 units. Find the length of side QR.
Write your answer without variables.

Answers

Answer: QR = 21 Units

P = 2(l) + 2(w)

[tex]88= 2(4z-1) + 2(3z+3)[/tex]

[tex]88 = 8z-2+6z+6[/tex]

[tex]88 +2-6= 8z+6z[/tex]

[tex]84=14z[/tex]

[tex]\frac{84}{14} =\frac{14z}{14}[/tex]

[tex]6 = z[/tex]

[tex]QR = 3z+3[/tex]

[tex]QR = 3(6) +3[/tex]

QR = 21 Units

Isabela has already taken 16 quizzes during past quarters, and she expects to have 1 quiz during each week of this quarter. How many weeks of school will Isabella have to attend this quarter before she will have taken a total of 26 quizzes?

Answers

Data:

Quiz taken: 16

Quiz each week: 1

You can express this as a equation:

Q= Total of quizes taken

W= weeks

As each week the number of quizes Q increase in 1 the change is k=1, and Isabela has already taken 16 quizzes. The number of quizzes can be represented as:

[tex]Q=Q_0+kW[/tex]

Q0 is the number of quizzes Isabela has already taken.

[tex]Q=16+W[/tex]

Then, to have a total of 26 quizzes Isabela have to attend:

Q=26

W=?

[tex]26=16+W[/tex]

You can find the number of weeks by clearing of the equation above the W:

Substract in both sides of the equation 16:

[tex]26-16=16-16+W[/tex][tex]10=W[/tex]Then, Isabela have to attend 10weeks this quarter to have a total of 26 quizzes

-6.235 as a mixed number

Answers

Answer:

-6 47/20

Step-by-step explanation:

if the degree of he monimial is -xy^3m (where m is a constant) is 10, then the value of m is ______

Answers

The value of m that makes the expression a monomial is 10/3

How to determine the value of m?

From the question, the given parameters are

Monomial: -xy^3m

Degree = 10

The degree of a polynomial is the highest power of the polynomial

This means that

Degree = 10

Degree = 3m

Substitute the known values in the above equation

So, we have

3m = 10

Divide both sides of the equation by 3

m = 10/3

Hence, the value of m is 10/3

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Which polynomial function could be represented by the graph below?
-8-8-4
8
6
+
2
-6
do
2 4
Of(x) = x² + x - 2
Of(x) = 2x2 + 2x - 4
O f(x)=x²-x-2
Of(x) = 2x² -2x - 4
6
8 X

Answers

The equation of the polynomial function is y = x² + x - 2

How to determine the equation of the polynomial function?

The polynomial function is represented on the given graph

From the graph, we can see that:

The curve of the graph crosses the x-axis at the following points

x = -2 and x = 1

This means that the equation of the polynomial function can be calculated as

y = (x - x₁) * (x  - x₂)

Where

x₁ = -2 and x₂ = 1

Substitute x₁ = -2 and x₂ = 1 in the equation y = (x - x₁) * (x  - x₂)

So, we have

y = (x + 2) * (x  - 1)

Open the brackets

y = x² + 2x - x - 2

Evaluate

y = x² + x - 2

Hence, the equation is y = x² + x - 2

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for a math assignment, jane has to roll a set of six standard dice and record the results of each trial. she wonders how many different outcomes are possible after rolling all six dice. what is the total number of possible outcomes for each trial?

Answers

Different possible outcomes after rolling all six dice is equal to 36. Total number of possible outcomes for each trial is equal to 6.

As given in the question,

For Math Assignment

The total set of standard dice = 6

After rolling each dice,

Possible outcomes after each trial  = { 1,2,3,4,5,6 }

The total number of possible outcomes for each trial = 6

Different possible outcomes after rolling all six dice = 6 × 6

                                                                                = 36

Therefore, different possible outcomes after rolling all six dice is equal to 36. Total number of possible outcomes for each trial is 6.

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25x^2-4

factor completely

Answers

The factorization of the quadratic expression 25x² - 4 gives us (5x + 2)(5x - 2) where; x = -2/5 or 2/5

How to factorize a quadratic equation?

We are given the quadratic equation as;

25x² - 4

Now, this quadratic equation can be written as;

25x² + 10x - 10x  - 4

We can group this using algebra properties to get;

(25x² + 10x) - (10x + 4)

Collecting like terms gives us;

5x(5x + 2) - 2(5x + 2)

Thus, the factorization is;

(5x + 2)(5x - 2)

The values of x will be;

5x + 2 = 0

x = -2/5

Or 5x - 2 = 0

x = 2/5

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When subtracting 538 - 446, why is there no digit in the hundreds place?

Answers

Answer:82

Step-by-step explanation:

Because you need to regroup the numbers, therefore leaving 4-4, which is just a 0, (don't include the 0 in a number).

For each quantity, decide whether circumference or area would be needed to calculate it. Explain or show your reasoning.

a. The distance around a circular track.

b. The total number of equally-sized tiles on a circular floor.

c. The amount of oil it takes to cover the bottom of a frying pan.

d. The distance your car will go with one turn of the wheels

Answers

It is listed below whether area or circumference needs to be calculated.

What is circumference?

The circumference of a circle or ellipse in geometry is its perimeter. That is, if the circle were expanded out and straightened out to a line segment, the circumference would be the length of the arc. The curve length around any closed figure is more often referred to as the perimeter. The term "circumference" can also refer to the circle's actual location, which corresponds to a disk's edge. A sphere's circumference is equal to the length of any one of its great circles. The distance around a circle is its circumference, however this cannot be used as a definition if, as in many introductory presentations, distance is defined in terms of straight lines.

(a) Circumference needs to be calculated.

(b) Area needs to be calculated.

(c) Area needs to be calculated.

(d) Circumference needs to be calculated.

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Determine the x- and y-intercepts of the graph of x + 3y = 9.
Then plot the intercepts to graph the equation.
Line

Answers

Answers are
x intercept (9, 0) and y intercept (0, 3)
Equation in y intercept form is
y = -1/3x + 3

Step by step

x + 3y = 9
Change this into y intercept form

3y = -1x + 9

Divide both sides by 3 to isolate y

3/3 y = -1/3x + 9/3

y = -1/3x + 3 is your equation

Your points to graph

Using your original equation
x + 3y = 9

Substitute 0 for x and solve for y intercept
0 +3y = 9
Divide both sides by 3
Y = 3

Substitute 0 for y and solve for x intercept
X + (3)(0) = 9
X = 9

You now have points to graph
(9, 0) and (0, 3)

Graph is attached

The width of a rectangle is 7t-7.5 feet and the length is 7.5t+10 feet. Find the perimeter of the rectangle.

Answers

The perimeter of the rectangle is 29t + 5

Define Perimeter.

A perimeter is a closed path that encompasses, surrounds, or outlines either a two dimensional shape or a one-dimensional length. The perimeter of a circle or an ellipse is called its circumference.

Given,

width = 7t - 7.5

length = 7.5t + 10

we know, the perimeter of the rectangle (p) = 2 ( l + w)

put the value in given formula,

p = 2 * (7.5t + 10 + 7t - 7.5)

p = 2 * ( 14.5t  + 2.5)

p = 2 * 14.5t + 2.5 * 2

p = 29t + 5

Hence, the perimeter of the rectangle is 29t + 5

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Determine whether the polygons are similar. If so, identify the correct similarity ratio and the similarity statement.

Answers

The two polygons are calculated to be similar and the correct statement to show the similarity is in option A

How to show that the polygons are similar

To show that the polygons are similar we show that

The angles of the corresponding sides are equal The ratio of the sides chosen are equal

Comparing the angles

< P ≅ < C< G ≅ < H< A ≅ < J< R ≅ < K

Comparing  the ratio of corresponding sides

10.5 / 7 = 12 / 8 = 6 / 4 = 9 / 6 = 3 / 2

This shows that option A is the correct choice

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What is the image point of (-1,9) after the transformation R 270∘ ∘r y-axis?

Answers

The image point of the point (-1, 9) after the transformation R270° or y-axis as required in the task content is; (1, 9).

What is the image point of (-1,9) after the transformation R 270∘?

It follows from the task content that the image of the point under the rotation transformation; R270° be determined.

Since the pre-image point (-1, 9) exists in the 2nd quadrant, it follows that the transformation; R270° indicates a reflection over the y-axis.

Hence, only the x-coordinate of the pre-image changes sign and therefore, the image is; (1,9).

Ultimately, the image point is; (1, 9).

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b. Fred got a score of 84 on the test. Write a division sentence using negative numbers
where the quotient represents the number of questions Fred answered incorrectly.

Answers

Answer:

Step-by-step explanation:

What is the Product Rule of Exponents?When multiplying two numbers with the same base, their powers/exponents would be added.For example, .Given:(a²c)³Therefore:(a²c)³ = (a²c)(a²c)(a²c) (a²c)³ = (a²c)³ = Therefore, applying the product rule of exponents, (a²c)³ = .

DE has a length of 5 cm. What is the length of the image of DE after applying the comp
A. 2.5 cm
B. 5 cm
C. 10 cm
D. 20 cm
Please select the best answer from the choices provided
OA
OB

Answers

The correct option: B. 5 cm, the image of DE will have the same length as DE, i.e. 5 cm.

What is defined by the term transformation?A transformation is a method of modifying a polygon or even other two-dimensional element on a plane as well as coordinate system. Two-dimensional figures keep moving around a plane as well as coordinate system using mathematical transformations.A preimage, also known as an inverse image, is the this double shape that exists before any transformation. The estimate after transformation is depicted in the image.

For the given question;

DE segment length is 5 cm.

The transformation implemented to DE now is; Rx degrees R₀.-270 degrees.

That is, DE is the segment.

270° counter-clockwise rotation about the origin, then reflected across the x-axis

It is necessary to determine the length of a segment that is the image of DE.

Because, as we all know,

The only transformation that affects the figure's measurements is 'dilation.'

As a result, rotation and reflection have no effect on the shape and size of a segment DE.

Therefore, the image of DE will have the same length as DE, i.e. 5 cm.

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The complete question is-

DE has a length of 5 cm. What is the length of the image of DE after applying the composition Rx degrees R₀.-270 degrees?

A. 2.5 cm

B. 5 cm

C. 10 cm

D. 20 cm

What is the answer to this need a fast answer plssssssssssssssssssss

Answers

Answer:

-2

Step-by-step explanation:

hope this helps

Answer:

Slope = -2

Step-by-step explanation:

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

choose 2 points

i choose (2, -1), and (5, -7)

slope = (-7 - (-1))/(5-2)

slope = (-6)/3

slope = -2

How much would you pay for 2.5 kg of potatoes at $1.69/kg?

Answers

Answer:

2.5kg potatoes would approx. cost 4.23$

Step-by-step explanation:

cost of 1kg potato = 1.69$

Therefore, cost of 2kg of potato = 1.69X2

                                                      =3.38

cost of 0.5kg of potato = 1.69\2

                                      = 0.85

Total cost of 2.5kg potato = 2kg + 0.5kg

                                           = 3.38 + 0.85

                                           = 4.23$

Answer:

$4.225

Step-by-step explanation:

2.5kg times per 1.60kg

2.5x1.6=4.225

Other Questions
Mathematical Connections: The composite solid is made up of a cube and a rectangular prism.(Picture below)a. Write a polynomial that represents the volume of the composite solid.b. The volume of the composite solid is equal to 25x. What is the value of x? Explain your reasoning. In the 2.5 minutes between innings in a baseball game, a hotdog launcher launches 12 hotdogs into the crowd. Clara, a member of the mascot team, wants to know how long she has to launch each hotdog. What is the unit rate in seconds per hotdog? simplify this expression 2 (times) x (times) 3 (times) yThe first to answer I will give branliest What is the density of a block of aluminum that has a volume of 15.0 cm3 and a mass of 40.5 g? MIDTERM: Write an ARGUMENT essay: An argument is a cohesive series of reasons intended to establish and support a point of view.Arguments should be fair, logical and PRODUCTIVE. They do not need to be negative, loud, or destructive.Arguments prioritize planning and evidence, not emotion and opinion.Consider the counter arguments that might challenge your claim. Remember that arguments encourage progress. Think about what you have pondered, thought about, realized, and/or discovered so far in Freshman Comp.Consider the importance of topics we've discussed: our perceptions, opinions, judgments, the language and words we use (our RHETORIC) and their impact.Begin by thinking about what your overall takeaway has been throughout these first few weeks of COMP. Try to CRITICALLY THINK AND SYNTHESIZE. You have, as you know, been collecting PRIMARY RESEARCH DATA through our class activities. What have you learned as a result of these: Examples, Anecdotes, Descriptions?What have you learned or realized about the people around you?Include something about the Name speeches/Labels Descriptions, the Queenie Activity, the Fall-Out activity, the Literacy Autobiography, your resume and/or introductory cover letter, The Five People You Meet in Heaven. Consider the impact these discussions and activities have had on your awareness.What has been the most interesting or revealing aspect? THEN: Reference the SECONDARY SOURCES provided regarding first impressions. There are 2 articles given for you to use to: Include Statistics, Facts and Expert Analysis in your argument as support and evidence. Perhaps find your own article. There is an opportunity for Enrichment points for this. Look at what you have already written in your reflections.EXAMINE the DATA and find a common "thread" throughout and "weave" from there. DEVELOP a CLAIM by exploring your WARRANT and use your EVIDENCE to SUBSTANTIATE your topic.1st Create an outline:Follow the Toulmin Model as outlined in the Teaching Arguments article provided and discussed. Or use the Purdue Owl reference:https://owl.purdue.edu/owl/general_writing/academic_writing/historical_perspectives_on_argumentation/toulmin_argument.htmlOutline the topics and activities you have used as PRIMARY RESEARCH and the articles for SECONDARY RESEARCH Outline of the Toulmin ModelI. Claim: assertion, thesis, conclusion to be establishedA.Contains topic plus controlling ideaB.Signaled by words like ought to, must, it is essentialII. Grounds: evidence, reasons, supportDeductive: premises from which a claim is derivedInductive: sample, experiment, observationIII. Warrants: why the reasons support the claim; principles or assumptionsDeductive: meanings of terms, parallel argumentInductive: representative sampleA generalization of why the evidence supports the claim.IV. Backing: implicit assumptions that show the warrant is reliable and/or evidence to supportgroundsV. Modal QualifiersA. Words like probably, in most instances, typically they show when, how, and why the claim is reliableVI. Rebuttals: counterarguments or exceptions to the claimFinally, Write and submit the paper and outline Remember: 12-point, quality font, MLA Heading, double spaced, internal citations that refer to at least 3-5 pieces of CREDIBLE EVIDENCE regarding perceptions and judgments supporting your claim.MLA citations are required WITHIN AND IN A WORK CITED PAGE for all activities and resources. Due Monday October 24th 11:30pm 14. How are organisms in the domain Archaea classified? what is the literal meaning of the dust storm swallowed the small desert town? Write donw the examples that would lend support to the restorative theory of why sleep is adaptive? A board game uses a spinner to determine how many spaces a player will move forward on each turn. The probability is 1/2 that the player moves forward 1 space, and moving forward 2 or 3 spaces each have 1/4 probability. What is the expected value for the number of spaces a player moves forward on a turn? ________ products are purchased by the ultimate consumer, whereas ________ products are purchased by organization to assist them in providing other products for sale. Too much demand and not enough supply is wasteful. A. True B. FalsePLASE I NEED THIS ASAP what happens to total current flow if the voltage of a series circuit is doubled and the resistance stays constant? Question 7 (Mandatory) (2 points)Which of the following steps would you use when problem solving?Focus on the end resultUse only you own opinionPut off dealing with the problem until you are able to solve itGather facts and ideas to help you decide what to do H= {(1, 0), (3, b), (5, b)}Give the domain and range of H.Write your answers using set notation. Which of the following is an example of unconscious processing by the brain?(A) Optical illusions(B) Skipping a step on a checklist to save time(C) Mistaking one drug for another because of look-alike packages(D) A and C What characteristics of the middle colonies to help with trading? Which of the following are equal to the expression below? Check all that apply.A.B.C.D.4 What is the x and y intercepts of the line 2x-5y=20 12. What is the purpose of an outline?(1 point)A.to present the essay in a different wayB. to analyze the story's narrationC. to make it easier for publishers to develop a table of contentsD.to organize notes and make a plan for writing Consider the measurements shown. Themost precise value is highlighted foreach measurement.9.3478 m + 2.73 m =What place value must the answer bereported to?1. ones place2. tenths place3. hundredths place 4. thousandths place