What is the domain of g?




​

Answer:

A or B

Step-by-step explanation:

Answer:

Should be B, No because her debt-to-income ratio is lower than 36 percent.

Step-by-step explanation:

Answer:

y = x - 4

Step-by-step explanation:

Rewrite y – 4 = (x – 8) in slope-intercept form.  To do this, solve the given equation for y:

y - 4 = x - 8  →  y = 4 + x - 8, or y = x - 4

As the point-slope form is given, we will simplify it;

                                [tex]y-4=x-8[/tex]

By adding +4 on both the sides, we get:

                            ⇒[tex]y=x-8+4[/tex]

                           ⇒[tex]y=x-4[/tex]

The slope-intercept form of the equation for this line is y=x-4.

Hence, the correct answer is option (b).

The slope intercept formula y = mx + b is used when you know the slope of the line to be examined and the point given is also the y intercept (0, b). In the formula, b represents the y value of the y intercept point.

Examples. y = 5x + 3 is an example of the Slope Intercept Form and represents the equation of a line with a slope of 5 and and a y-intercept of 3. y = −2x + 6 represents the equation of a line with a slope of −2 and and a y-intercept of 6.

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Answer: She will be there 8 years.

Step-by-step explanation:

By arranging the numbers in ascending order we get,

2, 2, 6, 9, 9, 11, 11, 12, 32, 43, 46, 54, 54, 59

The 2 middle numbers are:

11, 12

To find the median we have to add them and divide them by 2

So, (11+12)÷2

23÷2

11.5

For this case we have by definition that the median of a set of numbers is the average number in the set, after the numbers have been arranged from the lowest to the highest. If there is an even number of data, the median is the average of the two average numbers. So:

We order the numbers from least to greatest:

2,2,6,9,9,11,11,12,32,43,46,54,54,59

We have 14 numbers:

[tex]\frac {11 + 12} {2} = \frac {23} {2} = 11.5[/tex]

Answer:

11.5

I assume the 38º measurement refers to the measure of arc BE. Then

[tex]37^\circ=\dfrac{m\widehat{AJ}-38^\circ}2\implies m\widehat{AJ}=112^\circ[/tex]

and so

[tex]32^\circ=\dfrac{112^\circ-m\widehat{FH}}2\implies m\widehat{FH}=\boxed{48^\circ}[/tex]

(I think the theorem I used here is called "angle of intersecting secants")

Answer:

you spent 3 hours bagging groceries.

Step-by-step explanation:

you can use a calculator and do 11 times 3 plus 15.

Final answer:

To find out how many hours were spent bagging groceries when making $48 in total, solve the given equation with the respective earnings from shoveling and bagging.

Explanation:

The question: During the Winter, you charged people $15 for shoveling snow and $11 for every hour bagging groceries. If you made $48 one day, how many hours did you spend bagging groceries?

Step-by-step explanation:

Let's denote the hours spent bagging groceries as x.

Write the equation: $15 (for shoveling) + $11x (for bagging) = $48.

Solve the equation to find x: $15 + $11x = $48, $11x = $33, x = 3 hours.

972pi mm^3 as height is 12 mm radius is half of 18 mm ie 9mm

therefore volume=pi(r^2)h

ie 972pi mm ^3

Answer: [tex]972\pi\text{ mm}^3[/tex]

Step-by-step explanation:

We know that the volume of a cylinder is given by :-

[tex]\text{Volume}=\pi r^2 h[/tex], where r is radius and h is height of the cylinder.

Given: Diameter of cylinder = 18 mm

Then , radius of cylinder = [tex]\dfrac{18}{2}=9\ mm[/tex]

Height of cylinder = 12 mm

Then the volume of cylinder will be :-

[tex]\text{Volume}=\pi (9)^2 (12)\\\\\Rightarrow\text{Volume}=972\pi\text{ mm}^3[/tex]

Hence, the volume of the given cylinder = [tex]972\pi\text{ mm}^3[/tex]

The prime factorization of a number is the set of prime numbers that can be multiplied together to give you that number. Therefore, two different numbers cannot have the same prime factorization, because if you multiply the same set of numbers together, you must get the same answer. For example, 2 × 3 × 5 will always give you 30.

Therefore, the answer will be no.

A polygon is a plane figure with at least three straight sides and angles, and typically five or more. In other words, a polygon is a 2 dimensional shape with straight sides. No curves!

A quarter of a circle has a curve on one side, and is therefore not a polygon.

For this case we have that by definition, the Greatest Common Factor or GFC of two or more numbers, is the largest number that divides them without leaving residue.

So:

We look for the factors of 18 and 36:

18: 1,2,3,6,9,18

36: 1, 2,3,4, 6,9,18 ...

Thus, the GFC of both numbers is 18.

Then, the GFC of[tex]18x ^ 2[/tex] and [tex]36x[/tex] is:

[tex]18x[/tex]

Answer:

[tex]18x[/tex]

Final answer:

The Greatest Common Factor of 18x² and 36x is 18x, which is the product of shared prime factors to the lowest powers and includes the variable x.

Explanation:

Finding the Greatest Common Factor (GCF)

To find the Greatest Common Factor of 18x² and 36x, we need to break down each term into its prime factors and include the variable parts:

The GCF is the product of the lowest powers of common factors in both terms. Hence, the GCF of 18x² and 36x is 18x, which consists of 2 × 3 × 3 × x (or 2 × 3² × x).

Answer:

The dimensions of rectangle are 230 in by 59 in

Step-by-step explanation:

The question in English is

What are the dimensions of a rectangle with a perimeter equal to 578 inches, if its length is 6 inches less than 4 times its width?

Let

x-----> the length of rectangle

y----> the width of rectangle

we know that

The perimeter of rectangle is equal to

P=2(x+y)

P=578 in

so

578=2(x+y)

289=x+y -----> equation A

x=4y-6 -----> equation B

substitute equation B in equation A

289=(4y-6)+y

5y=295

y=59 in

Find the value of x

x=4y-6 -----> x=4(59)-6=230 in

therefore

The dimensions of rectangle are

230 in by  59 in

Answer:

option D

4998 J

Step-by-step explanation:

Given in the question that,

mass of the diver = 68 kg

distance of the diver from the surface of a pool = 7.5 m

The gravitational potential energy of an object is given by

GPE = m(g)(h)

here,

m is the mass of the diver

g is the acceleration due to gravity = 9.81m/s²

h is the height from the surface

Plug values in the formula to calculate GPE

GPE = 68(9.8)(7.5)

        = 4998 J

Therefore, the gravitational potential energy of the diver with respect to the surface of the pool is 4998 J

Final answer:

The diver has 4986 Joules of gravitational potential energy in relation to the pool's surface, with the closest answer choice being 4998 J, assuming rounding differences. Hence, the answer is D.

Explanation:

To calculate the gravitational potential energy (GPE) of the diver in relation to the pool's surface, we can use the formula GPE = mgh, where m is the mass of the diver, g is the acceleration due to gravity (9.8 m/s2), and h is the height of the diving platform above the pool's surface.

Substituting the diver's mass (68 kg) and the height of the diving platform (7.5 m) into the equation, we get:

GPE = (68 kg) times (9.8 m/s2) times (7.5 m)

GPE = 4986 Joules

Therefore, the diver has 4986 Joules of gravitational potential energy in relation to the pool's surface. Since this value isn't exactly one of the choices, it's likely due to rounding differences, and the closest provided option is 4998 J, which we could assume is the intended answer.

Answer:

Fourth answer choice:  y = x + 3

Step-by-step explanation:

Note that sides a and s are perpendicular to side r.  Both sides a and s have positive slopes, so we can immediately eliminate answer choices 1 and 2.

If we extend side s up and to the left, it intersects the y-axis at (0, 3).  Thus, the y-intercept is +3 and the desired equation is:

y = x + 3

Answer:

The answer is D

Step-by-step explanation:

With the height of the rectangular box, the baton can fit diagonally in the box.

The length of the baton that Kylie needs to pack = 38 inches

The width of the rectangular box = 13 inches

The length of the rectangular box = 35 inches

The height of the rectangular box = 13 inches

Comparing the dimensions:

The baton is 38 inches long and longer than the length and width of the box.

The height of the box is 13 inches, making the box greater than the length of the baton diagonally.

Thus, the baton will fit in the box diagonally.

Answer:

Option C.

Step-by-step explanation:

we know that

A median of a triangle is a line segment joining a vertex to the midpoint of the opposite side, thus bisecting that side

therefore

In this problem

HF=HG

Answer:

18.=400%

Step-by-step explanation:

80/20 we get 4 then we multiple 4 ×100 we get 400 and we check the answer 400% ×20 =80

Answer:

The ordered pair that represent the other zero is [tex](4,0)[/tex]

Step-by-step explanation:

we know that

The zeros or x-intercepts of the quadratic function, represent the value of x when the value of y is equal to zero

In this problem to find the other zero equate (x-4) to zero and solve for x

[tex](x-4)=0[/tex]

[tex]x=4[/tex]

therefore

The ordered pair that represent the other zero is [tex](4,0)[/tex]

Answer:

1

Step-by-step explanation:

Slopes of perpendicular lines are opposite reciprocal of one another i.e.

slope m1, of given line l1 = -1/slope m2, of its perpendicular line l2

slope m2, of its perpendicular line l2 = -1/slope m1, of given line l1

m2= -1/m1

Finding m1 from the given graph

m1= y2-y1/x2-x1

    = -2-1/2+1

    = -3/3

    = -1

m2= -1/-1

     = 1 !

Answer:

9 months

Step-by-step explanation:

Answer: 6 months

Step-by-step explanation: you take the initial membership fee of $49.50 and add it to the monthly for the first fee so it would be $67 and subtract that from the $172 he has. then divide the left over which is 105 and 17.50 you get 6

Answer:

The experimental probability of getting a 3 on a die is 30% which is approximately 13% more than its theoretical probability (17%).

Step-by-step explanation:

Theoretical probability of number 3 on a die:

Total no. of possibilities = 6

Probability of getting a 3 on a die each time it is rolled = 1/6

= 0.16667

= 17%

Experimental probability of number 3 on a die:

Total no. of rounds = 4

Rolls each round = 20

no. of 3s in round 1 = 6

no. of 3s in round 2 = 6

no. of 3s in round 3 = 5

no. of 3s in round 4 = 7

Total rolls = 20*4 = 80

no. of times 3 comes up = 6+6+5+7 = 24

Experimental probability of getting a 3 on a die

each time it is rolled = no. of 3s/total rolls

= 24/80

= 0.3

= 30%

Difference = 30% - 17% = 13%

Experimental probability of getting a 3 on a die is 30% which is approximately 13% more than its theoretical probability (17%).

Answer:

The experimental probability of rolling a 3 is  30 %, which is approximately  13 % more than its theoretical probability.

Step-by-step explanation:

PLATO

Answer:

m=7

Step-by-step explanation:

1 blue jar = 21 marbles

1 blue jar = 3 red jars

Therefor

21 marbles= 3 red jars

(Now let m=1 red jar)

21= 3m

(Then sine we have 3m dived both sides by 3 to isolate the m)

21/3= 3m/3

7=m

There are 7 marbles in a red jar if there are 21 marbles in a blue jar. The blue jars have 3 times as many marbles as a red jar.

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

There are 21 marbles in a blue jar. The blue jars have 3 times as many marbles as a red jar.

Let m be the number of marbles in the red jar​

From the problem, we can make a linear equation in one variable:

3m = 21

m = 7

Thus, there are 7 marbles in a red jar if there are 21 marbles in a blue jar. The blue jars have 3 times as many marbles as a red jar.

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When solving integer inequalities, isolate the variable on one side just like an equation. If the inequality involves a negative number, remember to flip the sign.

Since the exercise isn't specifically provided, I will walk you through a general process of solving integer inequalities.

First, treat the inequality similar to an equation. You'll need to isolate the variable (usually represented by 'x') on one side of the inequality.

Example 1: Let's say your inequality is x + 3 < 7. You can subtract 3 from both sides to isolate 'x', giving you x < 4.

Example 2: For an inequality like 5x > 30, you'd divide both sides by 5. This gives you x > 6. In both examples, the solution sets are all the integers less than 4 and greater than 6, respectively.

Remember that if you multiply or divide by a negative number, the inequality sign will flip.

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- A translation to 3 units left and 2 units up = E

- A translation to 2 units right and 3 units down = O

- A sequence of reflections across the x- and y-axes, in any order = A

- A translation to 3 units down and 3 units left = W

- Ouma

Translating 3 units left and 2 units right gives E(5,6), F(1, 12), G(9, 14) and H (11, 8)

Translating 2 units right and 3 units down gives O(10, 1), P(6, 7), Q(14, 9) and R(16, 7)

Reflecting across the x and y axis gives A(-8, -4), B(-4, -10), C(-12, -12) and D(-14, -10)

Translating 3 units down and 3 units left gives W(5, 1), X(1, 7), Y(9, 9) and Z(11, 7)

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

Quadrilateral JKLM has vertices J(8,4), K(4,10), L(12,12) and M (14,10) .

1) Translating 3 units left and 2 units right gives E(5,6), F(1, 12), G(9, 14) and H (11, 8)

2) Translating 2 units right and 3 units down gives O(10, 1), P(6, 7), Q(14, 9) and R(16, 7)

3) Reflecting across the x and y axis gives A(-8, -4), B(-4, -10), C(-12, -12) and D(-14, -10)

4) Translating 3 units down and 3 units left gives W(5, 1), X(1, 7), Y(9, 9) and Z(11, 7)

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Answer:

The discriminant is 0

Step-by-step explanation:

Since the graph of the quadratic equation has only one x-intercept, we can conclude that the quadratic has only one real root.

If a quadratic equation has only one real root, then the discriminant is 0

If x = -3 is the only x-intercept of the graph of a quadratic equation then the discriminant is 0

Answer:

x ≥ -2

Step-by-step explanation:

2x - 4 ≤ 4x

Subtract 2x from both sides:

-4 ≤ 2x

Divide by 2:

-2 ≤ x

So -2 ≤ x, or x ≥ -2.

You can check your answer by picking a number greater than -2 and see if it works.  For example, if x = 0:

0 - 4 ≤ 0

-4 ≤ 0

Answer: The answer is y=3x-8

Step-by-step explanation: All you have to do is plug in the x values and see what you get for y. For example: when you plug in -3 for x.    y=3(-3)-8 than you multiply the -3 by 3 and that give you y=-9-8 which equals y=-17 so that shows you the equation works.

plugging in -2 for x

y=3(-2)-8

y=-6-8

y=-14

I hope this helps!!!

Answer:

y = 3x -8

Step-by-step explanation:

You can try a point in the function rules and see if it works. The first (x, y) pair is suitable for finding the right answer:

y = -3(-3) -8 = -1 ≠ -17 . . . . eliminates the first choice

y = 1/3(-3) -8 = -9 ≠ -17 . . . . eliminates the second choice

y = 3(-3) -8 = -17 . . . . . the third choice is viable

y = 1/3(-3) +8 = 7 ≠ -17 . . . . eliminates the last choice

__

Only the third choice is a possible solution. Checking other points from the table verifies this as the correct one.

Answer:

6x - 11

Step-by-step explanation:

(f - g)(x) = f(x) - g(x)

f(x) - g(x) = 2x - 3 - (- 4x + 8) = 2x - 3 + 4x - 8 = 6x - 11

Answer:

6x -11

Step-by-step explanation:

f(x) = 2x-3 and g(x) = -4x+8

f-g (x) =2x-3 - (-4x+8)

Distribute the minus sign

       = 2x - 3 +4x -8

Combine like terms

       = 6x -11

Step-by-step explanation:

Volume of a cylinder is the area of the circular cross section times the height:

V = πr²h

Answer:

V=(3.14)r^2×h

Step-by-step explanation:

(3.14)= pie

r^2= radius to the second power

h=height of cylinder

Answer:

I think that a pair could be the second choice. MTS and PWQ.  

Step-by-step explanation:

[tex]\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ \stackrel{\textit{Lyle's cabin}}{(\stackrel{x_1}{-27}~,~\stackrel{y_1}{23})}\qquad \stackrel{\textit{dining hall}}{(\stackrel{x_2}{-6}~,~\stackrel{y_2}{3})}\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ d=\sqrt{[-6-(-27)]^2+[3-23]^2}\implies d=\sqrt{(-6+27)^2+(3-23)^2} \\\\\\ d=\sqrt{21^2+(-20)^2}\implies d=\sqrt{841}\implies d=29[/tex]

The shortest distance from Lyle's cabin to the dining hall is 29 meters.

To calculate the shortest distance between Lyle's cabin and the dining hall, we can use the distance formula for two points in a coordinate plane. The distance formula is:

d = √[(x2 - x1)² + (y2 - y1)²]

Given:

Lyle's cabin coordinates: (-27, 23)

Dining hall coordinates: (-6, 3)

We use the following steps:

Calculate the difference in the x-coordinates: -6 - (-27) = -6 + 27 = 21

Calculate the difference in the y-coordinates: 3 - 23 = -20

Square these differences: 21² = 441 and (-20)² = 400

Add the squares: 441 + 400 = 841

Take the square root of the sum: √841 = 29

Thus, the shortest distance from Lyle's cabin to the dining hall is 29 meters.