which is an equation of the line with a slope of 1/4 and a y-intercept of -2

Well, there really isn't an equation for this. Just plug in numbers and see if the numbers have to be bigger or smaller than the one you guessed. In this case, after plugging in a couple of numbers, I plugged in 17 for the smaller number. Then to find the bigger number, I multiplied 17 by 3, which is 51, then subtracted 7 from 51, which is 44. Since 44+17=61, the numbers are 44 and 17.

Answer:

B

Step-by-step explanation:

The equation is (2x+5)^2.

It can't be A because 2 is the multiplier for only x.

It can't be C because the square is outside of the equation.

It can't be D because again, the square is outside of the equation.

So the only thing left is B.

Hope this helped!

Answer:

9 is your answer

Step-by-step explanation:

Remember to follow PEMDAS (Parenthesis, Exponents (& roots), Multiplication, Division, Addition, Subtraction). Remember to also follow the left -> right rule.

Solve:

8 - 2 x 3 + 7

First, Multiply -2 and 3 together

8 + (-2 x 3) + 7

8 - 6 + 7

Next, follow the left to right rule, subtract.

(8 - 6) + 7

(2) + 7

Finally, Add

2 + 7

9

9 is your answer

~

I'm pretty sure the answer would be 9

Best of luck, Hope this helps if I'm wrong I'm terribly sorry

~Animaljamissofab ♥

Note that when a number is to the power of 2, just multiply the number to itself once.

(-10)^2 = (-10)(-10)

(-10) x (-10) = 100

(Note that two negatives, when multiplied, will result in a positive answer)

100 is your answer

~Rise Above the Ordinary

Answer:

Max is currently 12 years old.

Step-by-step explanation:

Zeke's current age = 8 years

Lets take Max's current age as [tex]x[/tex] years.

Then Max's age 3 years ago = [tex]x-3[/tex]

Double Max's age 3 years ago = [tex]2*(x-3)[/tex]

Double Max's age 3 years ago + Zee's current age = 26

⇒ [tex]2*(x-3)[/tex] + [tex]8[/tex] = [tex]26[/tex]

=[tex]2*(x-3)+8=26[/tex]

=[tex]2x-6+8=26[/tex] (Simplifying the brackets)

=[tex]2x+2=26[/tex]

=[tex]2x+2-2=26-2[/tex][tex]2x=24

=[/tex][tex]x=12[/tex]

So Max's current age is 12 years.

You have to divide 27 by 15 to get your answer

6x-4

hope this answers your question.

Final answer:

The variable expression for the age of Kayli's dad, in terms of Kayli's age (x), is 6x - 4, where x represents Kayli's age.

Explanation:

The question asks for a variable expression for the age of Kayli's dad, given that his age is 4 years less than 6 times Kayli's age. To create this expression, we first recognize that "6 times Kayli's age" can be represented as 6x, where x is Kayli's age. To account for "4 years less," we simply subtract 4 from this expression. Therefore, the age of Kayli's dad, in terms of Kayli's age (x), is represented by the variable expression 6x - 4.

In one year there are 365 days of 24 hours. Each hour has 60 minutes and each minute is 60 seconds long. So, 60s/min x 60 min/hr x 24hr/day x 365 days equals 31,536,000s.

Hope this helps you with your answer. If it is incorrect, then I am sorry.

I'm going to do this in meters which will turn into km. which you can then convert into miles.

The speed of light is 2.998 * 10 ^8 meters /second

2.998*10^8m/s[3600 s/hr]*[24 hrs/day]*[365 days/year]

2.998*10^8 * 3600 * 24 * 365 = 9.45*10^15 m/year

9.45*10^15 m/year / 1000 m/km = 9.45 * 10^12 km/year

If you want miles, just divide this number by 1.6

9.45 * 10^12 / 1.6 = 5.91 * 10^12 miles / year. When you google this, the answer they give is 5.87 * 10^12 miles / yr. The difference is in where you round, the use of an approximate 1.6 and the length of a year.

Answer:

6 2/3 miles times 4 =

Step-by-step explanation:

Convert the fraction 2/3 to a decimal

2/3  = .67

6.67 miles times 4 = 26.68 miles

or 6x4= 24

2/3+2/3+2/3+2/3  =8/3 or 2 2/3

2 2/3 +24 =26 2/3 miles

Last week I jogged for [tex]26\frac{2}{3}[/tex] miles in 4 times.

An improper fraction is when the value in the numerator is more than the value in the denominator.We can also write improper fraction in the form where we write the whole part and with a proper fraction where numerator is the remainder and denominator remains the same.

According to the given question

I jog [tex]6\frac{2}{3}[/tex] miles around a track last week I jogged 4 times around that track

therefore my total jogging distance will be

= 4([tex]6\frac{2}{3}[/tex]) miles

= 4 × 20/3 miles

= 80/3 miles

= [tex]26\frac{2}{3}[/tex] miles

Learn more about Fractions here :

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Subtract the difference from the total, then divide by 2, that would be the age of the youngest, then add the difference to that for the age of the oldest.

37 - 5 = 32

32 / 2 = 16

The youngest is 16.

16 + 5 = 21

The oldest is 21.

The ages are 16 and 21.

Step 1. Divide both side by 16

100/16 = 6t - 13

Step 2. Dimplify 200/16 to 25/2

25/2 = 6t - 13

Step 3. Add 13 to both sides

25/2 + 13 = 6t

Step 4. Simplify 25/2 + 13 to 51/2

51/2 = 6t

Step 5. Divide both sides by 6

51/2/6 = t

Step 6. Simplify 51/2/6 to 51/2 * 6

51/2 * 6 = t

Step 7. Simplify 2 * 6 to 12

51/12 = t

Step 8. Simplify 51/12 to 17/4

17/4 = t

Step 9. Switch sides

t = 17/4

According to the Rational Root Theorem, the potential rational roots of the equation 9x^3 + 14x^2 - x + 18 = 0 are ±1/3 and ±3. The values ±1/8 and ±1/2 are not valid since their denominators are not factors of the leading coefficient, which is 9.

The possible rational roots of the polynomial equation 9x^3 + 14x^2 - x + 18 = 0 can be determined using the Rational Root Theorem. This theorem states that any rational solution, expressed in the form of a fraction p/q, where p is a factor of the constant term and q is a factor of the leading coefficient, must be among these possible roots.

The constant term in this equation is 18, and its factors are ±1, ±2, ±3, ±6, ±9, ±18. The leading coefficient is 9, with factors of ±1, ±3, ±9. According to the Rational Root Theorem, we take each factor of the constant term and divide by each factor of the leading coefficient to find the possible rational roots. Thus, the potential rational roots are ±1/1, ±1/3, ±1/9, ±2/1, ±2/3, ±2/9, ±3/1, ±3/3, ±3/9, and so forth, including their negative counterparts.

From the options provided in the question, the potential rational roots that fit the criteria set by the theorem are: ±1/3, and ±3. The other options, ±1/8, ±1/2, do not satisfy the theorem as their denominators are not factors of the leading coefficient.

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Answer:

She would have to spend $168

Step-by-step explanation:

Step one:

Divide 28 by 8 to find out how much one individual notebook costs.

28/8 = $3.50

$3.50(a)

a = amount of notebooks bought

Now multiply it by how many she buys

$3.50(48) = $168

This means she spend $168 on 48 notebooks.

Hey there!

Let's first solve g(x) when x = 3.

The first step is to change wherever it says x in the equation to 3, because that is the value we are solving for.

g(3) = 4(3) - 9

Next, we can multiply 4 by 3, because multiplication comes before subtraction in PEMDAS.

g(3) = 12 - 9

Lastly, we can subtract 9 from 12 to get the final value.

g(3) = 3   So, the value for g(x) when x = 3 is 3.

Now, we'll solve for g(x) when x = 5.

The first step is to change wherever it says x in the equation to 5, because that is the value we are solving for.

g(5) = 4(5) - 9

Next, we can multiply 4 by 5, because multiplication comes before subtraction in PEMDAS.

g(5) = 20 - 9

Lastly, we can subtract 9 from 20 to get the final value.

g(5) = 11   So, the value for g(x) when x = 5 is 11.

Hope this helps!

[tex]\text{ Answer: original angle will be }17\textdegree\\\\\text{ second angle will be }x+58\textdegree=17+58=75\textdegree\\\\\text{ third angle will be } 3x+37=3\times 17+37=88\textdegree[/tex]

Step-by-step explanation:

Let original interior angle be x

Let second interior angle be x+58

Let third interior angle be 3x+37

As we know that

[tex]\text{sum of three angles in triangle is 180\textdegree}[/tex]

So, we can use this

[tex]x+x+58\textdegree+3x+37\textdegree=180\textdegree\\\\5x+95\textdegree=180\textdegree\\\\5x=180\textdegree-95\textdegree\\\\5x=85\textdegree\\\\x=\frac{85}{5}\\\\x=17\textdegree[/tex]

So, each angle will be

[tex]\text{ original angle will be }17\textdegree\\\\\text{ second angle will be }x+58\textdegree=17+58=75\textdegree\\\\\text{ third angle will be } 3x+37=3\times 17+37=88\textdegree[/tex]

the first answer is correct

Answer: Square.

Shamika is making cakes that are of the same shape but they differ in sizes. According to her, the perimeter of one cake is proportional to one the side lengths.

If we consider a few basic shapes, we can think of a circle, a triangle, a square.

For circle, it cannot be true because it has no sides.

For this to be true for a triangle, the triangle must be equilateral.

However, a square is such a shape which has equal length of all the sides. So for squares of different sizes, the perimeter of each cake would be proportional to one of its side.

Perimeter of square = x + x + x + x = 4x

Therefore 4x/x = 4

A square of perimeter 4 will have a proportion of 1:4 from its length to perimeter.

Answer:

3d = 51 is the desired equation; its solution is d = 17.

Step-by-step explanation:

Let d represent Diego's score.  Then 3d = 51, or d = 17.

"51 is the product of Diego's score and 3" is written as 51=3x. We know this because "is" means "=", and "the product of" means multiplication. Since "Diego's score" is unknown, it would be a number x (multiplied by 3 would make it 3x). The answer to this is 17, because 51/3=17. :)

Remark

The best way to answer something like this is to actually graph both equations. I have done that for you below.

Red Line: f(x) = 1/4x - 1

Blue Line: g(x) = 1/2x - 2

Now look at the answers.

A: The first one is incorrect. You don't need the graph to tell you that. The larger the number in front of the x, the steeper the line. Put another way, the larger the slope, the steeper the line. The y intercept is lower however.

B is wrong. g(x) is steeper, but the y intercept is lower not higher than f(x) [Negatives do strange things].

C:The g(x) is steeper (we've said that a couple of times), and it has a lower y intercept.

D is correct.

E is just wrong. Both parts are incorrect.

Answer: 2 and -4

Step-by-step explanation:

tiffanyrenaew21 is not completely right. The correct answer would be 2 and -4. This is how you find your answer:

First you form an equation: |x-(-1)|=3

|x+1|=3 - - - - - - - - |x+1|=-3

Subtract 1 from both sides

x=2 - - - - - - - - - - x=-4

You will always have 2 answers as absolute value equations and inequalities can always be positive or negative. |positive or negative| = positive.

If |x|=-n, then there are no solutions, becuase absolute value can't be negative.

Final answer:

The equation 7.5x + 20y = 900 can be solved for y by substituting different values for x to find three combinations that satisfy the equation: (0 hours, 45 lawns), (40 hours, 30 lawns), and (80 hours, 15 lawns).

Explanation:

The equation 7.5x + 20y = 900 models the relationship between the hours worked (x) and lawns mowed (y) for Jon to save up $900. To find combinations that result in $900, we can select different values for x or y and solve for the other variable.

These three combinations represent different ways Jon can work hours and mow lawns to reach his goal of saving $900.

The answer is

T= 5j+s+2

t=5j+s+2. Your answer should be: t=5j+s+2.

Let's solve for t.

5j+s=t−2

Step 1: Flip the equation.

t−2=5j+s

Step 2: Add 2 to both sides.

t−2+2=5j+s+2

t=5j+s+2

63 = 7x

Divide both sides by 7

9 = x

or

x = 9

Answer

9

3 x 4 = 12 because there are 4 sides and the length is 3, you multiply 3 and 4 together.

Answer:

Perimeter of square=12x

Step-by-step explanation:

the perimeter of a square with sides of length 3x

The side length of the square is 3x

To find perimeter we add all the sides. All sides are same in a square.

Perimeter of square= 4(a)

where 'a' is the side length

a= 3x. Substitute 3x for 'a'

Perimeter of square= 4(3x)=12x

{(–1, 1), (–2, 1), (–2, 2), (0, 2)}  

In a function, each input has an output

Each domain has a range. In a function, range can be repeated but domain cannot be repeated. Same domain cannot have two range values.

Here domain is {-1, -2, -2, 0}

Range is { 1, 1, 2, 2}

Domain -2 is repeating so this relation is not a function

Answer : No; a domain value has two range values.

Answer:

The Answer is: No; a domain value has two range values.

Step-by-step explanation:

Remark

Let's just figure out what f(1) and f(3) are and what equation to use.

f(1)

f(1) is defined by the top condition. Look at the condition carefully. -3 ≤ x ≤ 1

So the value of f(1) is

(x + 1)² -1

(1 + 1)² - 1

2² - 1

4 - 1 = 3

f(3)

f(3)  is governed by the middle condition. 1 < x ≤ 3

The value of f(3) is  - x + 2 = - 3 + 2 = - 1

Conclusion

f(1) > f(3)

Comment

Both f(1) and f(3) are defined. You just have to look around to find out where. D is wrong.

We calculated both f(1) and f(3). f(1) is larger than f(3)  so that is your answer.

How to get answer: First you need to use PEMDAS or GEMDAS

[tex]4 - \frac{8}{2} + 3[/tex]

= 4 - 4 + 3

= 0 + 3

= 3

A dilation and a translation could have occurred to map [tex]{\Delta \;\text{ABC}}[/tex] to [tex]{\Delta \;\text{A''B''C''}}.[/tex]

Further Explanation:

Given:

The options are as follows,

(A). A dilation and a reflection

(B). A dilation and a translation

(C). A translation and a rotation

(D). A translation and a reflection

Explanation:

The reflection symmetry is defined as a line that divides the Figure into two equal parts.

Translation can be defined as to move the function to a certain displacement.

Rotation is defined as a movement around its own axis. A circular movement is a rotation.

A dilation and a translation could have occurred to map [tex]{\Delta \;\text{ABC}}[/tex] to [tex]{\Delta\; \text{A''B''C''}}.[/tex]

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Learn more:

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Geometry

Keywords: sequence, similar, Transformation, reflection, dilation, rotation, translation, rigid, motion, rigid motions.