Mathematics High School

The absolute value function g(x) = |x + 7| − 4 is translated 5 units right and 2 units up to become g′(x). The quadratic function f(x), graphed below, is also moved 5 units right and 2 units up to become f′(x). Which of these two transformed functions has a range of y ≤ −2 and what is the vertex of this transformed function?

g′(x) has a range of y ≤ −2 and its vertex is at (−2, −2).
g′(x) has a range of y ≤ −2 and its vertex is at (2, −2).
f′(x) has a range of y ≤ −2 and its vertex is at (3, −2).
f′(x) has a range of y ≤ −2 and its vertex is at (−7, −6).

Answers

Answer 1

I think its C, if I'm being quite honest its kind of confusing for me too. Sorry

Answer 2

The correct answer is C.

Related Questions

PLEASE HELP!!! IMAGE ATTACHED FIND THE VALUE OF X

Answers

When a tangent (top line with the arrow) and a secant (other line) intersect, they form an angle (55°) equal to:

55° = ½ (the larger intercepted arc minus the smaller intercepted arc)

55° = ½ (170° -x°)

55° = 85° -½ x

½ x = 30°

x = 60°

What value of x is the solution of the equation 1/7+2x/3 = 15x-3/21?
A. 6
B. 0
C. 4/13
D. 6/29

Answers

1/7+2x/3=(15x-3)/21 make all terms have a common denominator of 21

3+14x=15x-3 subtract 3 from both sides

14x=15x-6 subtract 15x from both sides

-x=-6 divide both sides by -1

x=6

*Notice the use of parentheses in this format to make it clear what the numerators and denominators are...

Answer:A=6

Step-by-step explanation:

What is the solution to this system of linear equations?

x − 3y = −2

x + 3y = 16

Answers

A) x − 3y = −2
B) x + 3y = 16
Adding the equations we get
2x = 14
x = 7
y = 3

Answer:

the correct answer is A 7,3

Step-by-step explanation:

hope this helps

Which coordinates will best represent point B'?

Answers

we need more detail to the question

A jet flies at a rate of 1.3 x 10^ 6 feet per hour. Written in scientific notation, which is the best estimate of how many feet the jet will travel in 2.8 x 10^ 3 hours?

Answers

(1.3X10^6ft/hr)(2.8X10^3hr)

(1.3*2.8)(10^6*10^3)

Rule (a^b)(a^c)=a^(b+c)

(3.64)(10^(6+3))

3.64(10^9)

3.64X10^9 ft

Technically we only had two significant figures and the answer should be:

3.6X10^9 if we were to express our answer to the correct number of significant figures....

(1.3 * 10^6)(2.8 * 10^3) = (1.3 * 2.8) = 3.64.....(10^6 * 10*3) = 10^9
3.64 * 10^9 <==

A basket contains six apples and five peaches. Three times, you randomly select a piece of fruit, return it to the basket, and then mix the fruit. All three times, the fruit is an apple. Find the probability of this occuring.

Answers

P( it occurring once) = 6/11

Now as the 3 events are independent we multiply the probs:-

P( apple picked 3 times) = 6/11 * 6/11 * 6/11 = 216/1331 or about 16.2%

Answer:

16.22%

Step-by-step explanation:

A basket contains six apples and five peaches.

Total fruits in the basket = 6 + 5 = 11

The probability of selecting a piece of fruit is an apple [tex]P_{1}=\frac{6}{11}[/tex]

Now return it to the basket and select a fruit. so all events are independent.

Therefore, the probability of each time selecting an apple is same.

Probability=[tex]P_{1}\times P_{2}\times P_{3}[/tex]

P =[tex]\frac{6}{11}[/tex]× [tex]\frac{6}{11}[/tex]×[tex]\frac{6}{11}[/tex]

=[tex]\frac{216}{1331}[/tex] = 16.22%

The probability of all three times the fruit is an apple is 16.22%

Suppose $x$,$y$, and $z$ form a geometric sequence. if you know that $x+y+z=18$ and $x^2+y^2+z^2=612$, find the value of $y$.

Answers

Because x,y,z form a geometric sequence, therefore the common ratio is
r = y/x = z/y
That is,
y² = xz (1)

We are given:
x + y + z = 18
Therefore
x + z = 18 - y (2)

Also,
x² + y² + z² = 612
Therefore, from (1), obtain
x² + z² + xz = 612
(x + z)² - xz = 612
From (1) and (2), obtain
(18 - y)² - y² = 612
324 - 36y + y² - y² = 612
-36y = 288
y = -8

Answer: y = -8

Final answer:

We use the information that $x$, $y$, and $z$ forms a geometric sequence, and that $x + y + z = 18$ and $x^2 + y^2 + z^2 = 612$ to set up two equations in terms of $y$. These can be solved simultaneously to get the value of $y$.

Explanation:

The problem involves a geometric sequence and two simultaneous equations in mathematics. Given $x$, $y$, and $z$ are in a geometric sequence, then they can be represented as $x=y/r$, $y=y$, $z=yr$, where $r$ is the common ratio. This sequence gives us the first equation, $ x + y + z = 18 $.

We have another given equation which is $ x^2 + y^2 + z^2 = 612 $. Substituting $x$, $y$ and $z$ with the terms of the geometric sequence in the second equation, we have $y^2(1/r^2+1+r^2)=612$. Now we have two equations: $ y(1/r+1+r)=18 $ and $ y^2(1/r^2+1+r^2)=612 $, which we can solve simultaneously to find the value of $ y $.

Learn more about Geometric Sequence here:

https://brainly.com/question/34721734

#SPJ3

The cost of a long-distance phone call is $0.46 for the first minute and $0.37 for each additional minute. if the total charge for a long-distance call is $6.75, how many minutes was the call?

Answers

1st minute = 0.46

additional minutes = 0.37

6.75 -0.46 = 6.29

6.29/0.37 =17

17 +1 = 18 total minutes

A class of 24 students is planning a field trip to a science museum. A nonrefundable deposit of $50 is required for the day-long program, plus a charge of $4.50 per student. Determine a linear function that models the cost, c, and the number of students, s. Which statements about the linear function and its graph are correct? Check all that apply.
A. The linear model is f(s) = 4.5s + 50.
B The linear model is f(c) = 54.5c + 24.
C.The domain is {x| 0 ≤ x ≤ 24}.
D.The range is {y| 50 ≤ y ≤ 158}.
E.The graph is continuous.

Answers

The answer to this question would be A

A,C, & D

have a nice day:)

If a price is 70$ and the price is now 56$ what is the percent decrease

Answers

20% because every 10% of 70 is 7 and the price decreased by 14$ which is 2 x 7 hence the price is dropped down by 20%

70-56 = 14

14/70 = 0.2

0.2 = 20%

Use technology to approximate the solution(s) to the system of equations to the nearest tenth of a unit.
Select all that apply.
1 (0,0)
2 (9.2, 1.5)
3 (9.6, 3.5)
4 (5.3, 9.8)
5 (3.5, 9.6)

Answers

The technology I used in helping me solve the problem is using Microsoft Excel. I made one column for the x values which were gathered from the choices, one column for f(x) whose equation is 8^(x-9), and another column for g(x) whose equation is log(3x) + 2.

Inputing these equation to the last two columns yield the values shown in the picture.The 'NUM' means that the equation at that value of x is undefined. From the values, the correct solution would be

(0,0), (9.2,1.5) and (9.6,3.5) to the f(x) equation
(9.6,3.5) to the g(x) equation

Final answer:

To approximate solutions for the system of equations, enter them into graphing technology, look for intersection points, and match them to the provided coordinates, rounding to the nearest tenth.

Explanation:

To approximate the solution(s) to the system of equations using technology, such as a graphing calculator or graphing software, you typically enter the equations into the device or program and view their intersection points. These intersection points represent the solutions to the system of equations. To get an accurate approximation to the nearest tenth of a unit, you may zoom in on the graph to clearly see where the lines intersect or use the device's built-in features to find the intersection.

You would then compare the given coordinates to the intersection points you found graphically and select the ones that match:

(0,0)

(9.2, 1.5)

(9.6, 3.5)

(5.3, 9.8)

(3.5, 9.6)

Remember to round your values to the nearest tenth as required and to quickly check if these values make sense in the context of the original problem.

An item sells for 2 for 66 cents. What would 5 items sell for?

Answers

66/2 = 33
33 x 5 = 165 cents
165 cents = $1.65

Answer:

5 items sells for 165 cents

Step-by-step explanation:

An item sells for 2 for 66 cents

2 items cost 66 cents

1 item cost 66 divide by 2 is 33 cents

So 1 item cost 33 cents

WE need to find the cost of 5 items

1 item cost 33 cents

so 5 item costs [tex]5 \cdot 33= 165[/tex]

The cost of 5 items = 165 cents

1/4 is to 1 1/4 as 2 is to b
what is b equal to?

Answers

1 1/4 is 5 times larger than 1 /4

so b is 5 times larger than 2

5*2 =10

so 1/4 is to 1 1/4 as 2 is to 10

b=10

What is the distance between -14 and 5

Answers

The distance between two points can be defined as |A - B|.

|-14 - 5| = |-19| = 19

So, the distance between -14 and 5 is 19 units.

What is the solution to the system of linear equations?

Answers

When you have a graphical representation of two functions, they are equal when their lines or curves intersect. So the solution to the system of equations graphed in this example is the point (0, 2)

The point of intersection of lines represents the common solution of the system of linear equations. The solution of linear equations given in the graph is (0,2).

Linear equation represents a line on the graph. The system of linear equations represents couple/s of linear equations or lines.

The solution of system of linear equations means the common point satisfying the different linear equations.

Graphically, the point of intersection of two lines represents the common solution of these two lines or simply the solution of the system of linear equations.

So, the point of intersection from the given graph is (0,2).

Therefore, the solution of linear equations given in the graph is (0,2).

For more details, refer to the link:

https://brainly.com/question/16515610

A gutter at the edge of a roof drops 2 inches for every 30 feet of length. The measure of the angle to the nearest tenth of a degree that the gutter makes with the roof is ____ degrees. (Enter only the number.)

Answers

1 foot = 12 inches,

so 1 in=1/12 ft,

this means 2 in=2/12=0.1667 ft.

check the picture,

let the black line segment represent 30 ft of the roof, the blue line segment represent the gutter.

let α be the angle formed by the roof and the gutter.

tan α =(opposite side)/(adjacent side)= 0,1667/30=0.00556

then, α=arctan(0.00556)=0.39 (degrees)

the last result is found using a scientific calculator or other software.

Answer: 0.39 (degrees)

Two dice are rolled. if the total showing is odd, you pay your friend $8. otherwise, your friend pays you $4. what is the (expected) value of the game to you?

Answers

50/50 always. Hope it helps

What are the coordinates of the center of the circle whose equation is x^2+y^2-16x+6y+53=0?

Answers

hello :
note :
an equation of the circle Center at the w(a,b) and ridus : r is :
(x-a)² +(y-b)² = r²
in this exercice : x²+y²-16x+6y+53=0
(x²-16x) +( y²+6y ) +53 = 0
(x² -2(8)x +8² - 8²) +(y² +2(3)x -3²+3² ) +53=0
(x² -2(8)x +8²) - 8² +(y² +2(3)x +3²)-3² +53=0
(x-8)² +( y+3)² = 20

the center is : w(8,-3) and ridus : r = √20

What is the approximate measure of acute ∠A when cosA=0.1045cos⁡A=0.1045? Make sure your calculator is in degree mode. Round to the nearest degree.

Answers

Final answer:

To find the acute angle A when cosA=0.1045, use a calculator in degree mode to perform the inverse cosine operation and round the result to the nearest degree, which is approximately 84 degrees.

Explanation:

To find the measure of acute ">∠A when cosA=0.1045, we use the inverse cosine function (also known as arccos or cos-1). Make sure your calculator is in degree mode. The approximate measure of acute ∠A can be calculated as follows:

Enter the value 0.1045 into the calculator.Press the inverse cosine button (often labeled as cos-1, acos, or similar) to find the angle whose cosine is 0.1045.Round the result to the nearest degree.

Using a calculator set to degree mode, the result for cos-1(0.1045) should be approximately 84 degrees, when rounded to the nearest whole degree.

A wooden roller coaster at a theme park has a height restriction: passengers must be at least 45 inches tall.
a.Write an inequality to represent the height restriction.
b.Using complete sentences, describe how to graph your inequality on a number line.

Answers

h≥45 in

...

Place a solid dot at 45, because 45 in is part of the solution set, then extend a positive line from that dot going to the right.

The average weight of 5 students is 150.4 pounds. if no student weighs less than 130 pounds and if no two students' weights are within 5 pounds of each other, what is the most, in pounds, that any one of the students can weight

Answers

You are given the average weight of 5 students which is 150.4 pounds. Also, a condition is given wherein no student weighs less than 130 pounds and if no two students' weights are within 5 pounds of each other. You are asked to find the most pounds that any one of the students can weight.

You have to make sure to get the lowest average from the other 4 so that you will get a higher value on the 5th person.

If the lowest weight is 130 pounds, assume that one student is 130 and then assume that the other three are 135, 140, 145 to have the lowest combination.

You will then get a mean of these four numbers by adding the unknown value of 'x' of the fifth person.
[130 + 135 + 140 + 145 + x]/5 150.4
(550 + x)/5 = 150.4
550 + x = 752
x = 202 pounds

suppose you randomly choose an integer n between 1 to 5, and then draw a circle with a radius of n centimetres. What is the expected area of this circle to the nearest hundredths of a square centimetres?

Answers

The set of possible integers is 1, 2, 3, 4, and 5.

The area of a circle with radius of n centimeters = π(n)^2.

So, the set of possible values are:

n       area = π(n^2)

1       π

2       4π

3       9π

4       16π

5       25π

And the expected value of the area may be determined as the mean (average) of the five possible areas:

expected value of the area = [ π+ 4π + 9π + 16π + 25π] / 5 = 11π ≈ 34.5575, which rounded to the nearest hundreth is 34.56

Answer: 34.56

Final answer:

To find the expected area of a circle when randomly selecting an integer n between 1 to 5 as the radius, calculate the area of each possible circle and find the average. The expected area, rounded to the hundredths, is approximately 34.54 cm².

Explanation:

When you randomly choose an integer n between 1 to 5, and then draw a circle with a radius of n centimetres, the expected area is calculated by taking the average of the areas for all possible radii.

The area of a circle is given by the formula A = πr². Since the integer n can be 1, 2, 3, 4, or 5, we calculate the area for each of these radii and then find the average.

For n=1: A = π(1)² = π cm²For n=2: A = π(2)² = 4π cm²For n=3: A = π(3)² = 9π cm²For n=4: A = π(4)² = 16π cm²For n=5: A = π(5)² = 25π cm²

Add all the areas and divide by the number of possible radii:

Expected Area = (π + 4π + 9π + 16π + 25π) / 5

Expected Area = (55π) / 5

Expected Area = 11π cm²

Now, use the value of π up to two decimal places (3.14) to get the expected area in hundredths of a square centimetre:

Expected Area ≈ 11 × 3.14 cm²

Expected Area ≈ 34.54 cm²

The expected area of the circle, to the nearest hundredths of a square centimetre, is approximately 34.54 cm².

simplify (2 (radical 5) - 4) (3 (radical 5) +2)

Answers

[tex](2 \sqrt{5}-4 )(3 \sqrt{5}+2 )=\\2*3*5+2*2* \sqrt{5} -4*3* \sqrt{5}-4*2= \\ 30+4 \sqrt{5}-12 \sqrt{5}-8= \\ 22-8 \sqrt{5} [/tex]

John intends to roll a six-sided number cube 100 times. What probability model can he use to predict whether or not each roll will give a result that is a prime number?

Each roll has a 0.117 probability of being prime.

Each roll has a 0.333 probability of being prime.

Each roll has a 0.5 probability of being prime.

Each roll has a 0.667 probability of being prime.

Answers

2 , 3 and 5 are the prime numbers on a cube

so 3/6 = 0.5 probability

Answer:

0.5 sorry for same answer just want points T-T

Step-by-step explanation:

Segment TR is a mid-segment of triangle ABC. What is the length of segment RC?
A) 5 inches
B) 6 inches
C) 8 inches
D) 10 inches

Answers

RC = BR = 5in
answer
A) 5 inches

the answer to the triangle the hexagon and the Diamond

Answers

Triangle=1
Diamond=3
Hex=7

Proofs:
1+3+3=7
1+1+1=3
1+3+7=11
7-3=4*1

how to calculate the volume of a equilateral triangular prism

Answers

it can be found multiplying base times height ....

Answer:

I believe the answer would be "Multiply the area of the triangular base by the prism’s height." i'm not sure tho

Step-by-step explanation:

you can correct me if im wrong

What is the area of the triangle given below?

Answers

Answer:

26 sq. units

Step-by-step explanation:

a-p-e-x

The area of the triangle is 26 sq.unit, the correct option is B.

What is a Triangle?

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

The triangle is classified into various types on the basis of the angle and on the basis of the equality of the length of the sides, as obtuse , acute and right angled triangle and scalene, isosceles and equilateral triangle.

The triangle is shown in the figure has side 13 and height 4 units.

The area of the triangle whose base and height is given is calculated by using the formula:

Area = (1/2) * base * height

Substituting the value in the formula.

Area = (1/2) * 13 *4

Area = 13 * 2

Area = 26 sq.unit

To know more about Triangle

https://brainly.com/question/2773823

#SPJ5

The cost of a service call to fix a washing machine can be expressed by the linear function y = 45x + 35, where y represents the total cost and x represents the number of hours it takes to fix the machine. What does the slope represent?
the cost for each hour it takes to repair the machine
the cost for coming to look at the machine
the total cost for fixing the washing machine
the amount of time that it takes to arrive at the home to make the repairs

Answers

The answer would be A. The cost for each hour it takes to repair the machine. In the equation 35 would represent the flat fee, and 45 would represent the cost for each hour. You can verify because if you plug in 1, you would get $45 for 1 hour, if you plug in 2, you would get $90 for 2 hours and so on. Hope this helps! :D. Feel free to ask me questions about my explanations and more questions.

Answer:

Step-by-step explanation:

When combining functions, what operation requires that you restrict the domain of one or both functions?

Answers

Ugh! Many, of the four basic ones, + - * and /, division restricts it. Nut sqrt() would also. So, if it is about the four elementary operations, the answer is division. (When the denominator is zero, it can;t belong to the domain)

Other Questions