A radio tower is located on a coordinate system measured in miles. The range of a signal in a particular direction is modeled by a quadratic function where the boundary of the signal starts at the vertex at (4, 2). It passes through the point (5, 4). A linear road connects points (–3, 7) and (8, 2). Which system of equations can be used to determine whether the road intersects the boundary of the tower’s signal?

Answers

Answer 1

im sorry i dont know the answer


Related Questions

please help me with math

Answers

Answer:

Step-by-step explanation:

a) 4/9*x^4

b) 2/y

Is it equivalent? please show work so i can write it

Answers

No, because

2(y + 1,5)  = 2 · y + 2 · 1,5 = 2y + 3

2y + 3 ≠ 2y + 1,5

Answer:

No

Step-by-step explanation:

2 ( y + 1.5 ) = 2y + 3. Not 2y + 1.5

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
A teacher takes a random sample of 100 students enrolled at Springfield High School and asks them their opinions about the food served in the school cafeteria. The population of students here is __________________.
A. the 100 students who are asked questions
B. all students enrolled at Springfield High School
C. all high school students in the country
D. all high school students in the world

Answers

Answer:

The 100 students who are asked questions.

What does the lines mean around the x: |x|

Answers

Answer:

absolute value

Step-by-step explanation:

Answer:

This shows the absolute value of an integer.

Step-by-step explanation:

When you see the lines | | around a number, it should always give you the answer of that number's positive integer. So lets say I out | -2 | the answer for this equation should be 2.

Which equation is in slope-y-intercept form?
Question 1 options:

a) 3x + 4y = 7

b) x = 4y - 2

c) y = 3x -1

d) x + 4y -2

Answers

Answer:

C = y - 3x-1

Step-by-step explanation:

Slope intercept form is

y = mx+b where m is the slope and b is the y intercept

C = y - 3x-1 is in slope intercept form

The answer is A.

I took the test.

Find the 8th term of the geometric sequence 7,−21,63,

Answers

Answer:

8th term is -15309

Step-by-step explanation:

[tex]{ \boxed{ \bf{u_{n} = a( {r}^{n - 1} ) }}} \\ { \tt{u_{8} = 7( {( - 3)}^{8 - 1}) }} \\ { \tt{u_{8} = 7( - 2187)}} \\ { \tt{u _{8} = - 15309}}[/tex]

r is the common difference, r = -21/7 = -3

Answer:

a₈ = - 15309

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{-21}{7}[/tex] = - 3 , then

a₈ = 7 × [tex](-3)^{7}[/tex] = 7 × - 2187 = - 15309

In the following diagram, BAC = 46 degrees, and AD is the bisector of BAC. Find BDA

Answers

Answer:

67 degrees

Step-by-step explanation:

We have a right triangle with the following known values:

B = 90

A = 23 (46/2=23 since AD is the angle bisector)

D = ?

180 = 90 + 23 + D and we solve

67 = D

find the missing length indicated​

Answers

Answer:

192

Step-by-step explanation:

According to Euclidian theorem

x^2 = 144*(400-144)

x^2 = 144*256

x^2 = 36864 find the root of both

x = 192

Find the first four terms of the sequence given by the following.
an=51 + (n-1).8, n=1, 2, 3...

Answers

Answer:

Step-by-step explanation:

a1 = 51 + (1 -1 ) * 0.8

a1 = 51

a2 = 51 + (2 - 1)*0.8

a2 = 51 + 0.8

a2 = 51.8

a3 = 51 + (3 - 1)*0.8

a3 = 51 + 2*0.8

a3 = 51 + 1.6

a3 = 52.6

a4 = 51 + (4 - 1)*0.8

a4 = 51 + 2.4

a4 = 53.4

factor: 3x^(2)-16x+16

Answers

Answer:

[tex]3 {x}^{2} - 16x + 16 \\ 3 {x}^{2} - 12x - 4x + 16 \\ 3x(x - 4) - 4(x - 4) \\ (3x - 4)(x - 4)[/tex]

Step-by-step explanation:

I hope it helped U

stay safe stay happy

Answer is (3x-4) (x-4)
This is the answer for Plato and Edmentum

Density of wood is a very important trait for furniture making. There are two main important mechanical properties: strength and stiffness. Research has shown that a increase density equals an increase strength, hardness and stiffness of sawn timber.


A carpenter has two pieces of wood. He wants to find the density of each piece.


The first piece came from a birch tree. The piece of birch wood measures 2 meters by 4 meters by 3 meters and weighs (mass) 16 kilograms.


The second piece came from a cypress tree. The piece of cypress wood measures 3 meters by 5 meters by 2 meters and weighs (mass) 15.3 kilograms.


Which piece of wood has a greater density? You must show your work in order to receive credit.

Answers

Step-by-step explanation:

The Birch tree has a greater density.

31. Which choice describes the value of m when -5(m + 1) = 23?
А
B.
m 2-3
ms-
6 m2
D.ms-

Answers

Answer:

The correct choice is Option A. m ≥ -28/5

Step-by-step explanation:

One angle of a triangle is 22^0. What is the measurement (in degrees) of the corresponding angle in a similar triangle?

Answers

Answer:

22 degrees

Step-by-step explanation:

Corresponding angles in similar triangles are equal

So the corresponding angle would be 22 degrees

what is the equation of the axis of symmetry do the quadratic function f(x) = -(x+4) (x-1)​

Answers

9514 1404 393

Answer:

  x = -3/2

Step-by-step explanation:

The zeros of the function are the values of x that make the factors zero:

  x = -4, x = 1

The axis of symmetry is the vertical line halfway between these zeros.

  x = (-4 +1)/2 = -3/2

The equation of the axis of symmetry is x = -3/2.


1. demand can be said to control supply and demand.
(Consumer, Producer)

Answers

Answer:

The law of demand says that at higher prices, buyers will demand less of an economic good. The law of supply says that at higher prices, sellers will supply more of an economic good. These two laws interact to determine the actual market prices and volume of goods that are traded on a market.

Supply is generally considered to slope upward: as the price rises, suppliers are willing to produce more. Demand is generally considered to slope downward: at higher prices, consumers buy less. ... The relationship between the supply and demand for a good (or service) and changes in price is called elasticity.

Provide a rule to describe the relationship between the number in the sequence

1,4,9,16​

Answers

Answer:

add 3, add 5, add 3

Step-by-step explanation:

1, 4, 9, 12

add 3, add 5, add 3

Answer:

x^2

Step-by-step explanation:

1^2 = 1

2^2 = 4

3^2 = 9

4^2 = 16

And so on.

So, the rule is x^2.

What are the two square roots of 9/4?​

Answers

Answer:

3/2

Step-by-step explanation:

3^2=9

2^2=4

3/2 and -3/2

sqr of 9 is 3 or 3

sqr of 4 is 2 or -2

Wilma worked 38 hours 52 minutes last week. She earns $25.15 per hour. What is wilma's pay for this work period? Round your answer to the nearest hundredth

Answers

Answer:

$968.78

Step-by-step explanation:

multiply worked hours by her pay per hour

38.52×$25.15=

38.52×$25.15=$968.778

then you round it to the nearest hundredth

since the thousandth is greater than 5 the 8 will round the 7 to an 8

giving you $968.78

Answer: $977.50

Step-by-step explanation:

(38)(25.15)=955.70

(52)(25.15)/60=21.80

955.70 + 21.80 = 977.50

What line does the point (8,41) lie?

Answers

Answer:

There are infinite answers to your question

y= 5x + 1

is one of them

Step-by-step explanation:

dilations geometry help please

Answers

Multiply x and y by 2:

A. (-6, 4)

B. (2, 2)

C. (-2, -2)


Work out an estimate for the value of
41.2 x 19.8
——————-
0.49

Answers

Answer:

820

Step-by-step explanation:

41.2 * 19.8 = 41 *20 = 820

41.2

In this tenth value is 2 which is less than 5. So ignore it and write the whole number alone. 41

19.8

In this tenth value is 8 awhich greater than 5. So add 1 to whole part and write.

19+1 = 20

A cartoon has a length of 1 2/3 feet, width of 1 1/6 feet, and height of 1 1/5 feet what is the volume of the cartoon?

A: 2 cubic feet
B: 2 1/3
C: 4 cubic feet
D: 4 2/3

Answers

Answer:

B: 2 1/3

Step-by-step explanation:

Volume = length x width x height

Volume = 1 2/3 x 1 1/6 x 1 1/5

Volume = 2 1/3

worth 10pts if someone can help!

Answers

Answer:

y=-x

I found the points then simplified it down

Answer:

hmm maybe trying using 2y=5x-2

Step-by-step explanation:

how i came to this was just looking at point y which was just 2 and then since point x was at 5,-2 all i did was simply it into 2y=5x-2

maybe that's the answer if it is can i get brainlist ?! pretty please if not let me know so i can see what i got wrong

LENGTH OF ARCS. URGENT.

Answers

Since the angle of the arc is 90°, we'll plug that in for theta. We're finding the length of the arc, so we'll use the circumference formula.

Anybody help please ! Step by step

Answers

Your answer is -6.

Hope my answer is helpful to you. Stay blessed .

[tex]\\ \large\sf\longmapsto {27}^{x} = {9}^{x - 3} \\ \\ \large\sf\longmapsto ( {3}^{3} ) {}^{x} = ({3}^{2} ) {}^{x - 3} \\ \\ \large\sf\longmapsto 3 {}^{3x} = 3 {}^{2(x - 3)} \\ \\ \large\sf\longmapsto {3}^{3x} = 3 {}^{2x - 6} \\ \\ \large\sf\longmapsto 3x = 2x - 6 \\ \\ \large\sf\longmapsto 3x - 2x = - 6 \\ \\ \large\sf\longmapsto x = - 6[/tex]

Steve works two different jobs for a total of 60 hours every Monday through Friday schedule is the same each day and he works three hours a day at his first job how many hours a day does he work at his second job

Answers

Answer:

Step-by-step explanation:

Steve works:

- 60 hour per week = 12 hours per day (60/5)

- first job: 3 hours per day = 15 hours per week

- x = second job hours per day

equitation:

1st option to calculate:

12 (total hours per day) = 3 (hours per day on first job) + X

9 = X

2nd option to calculate:

60(total hours per week) = 15 (3 hours per day x 5) + x

45 = x

you need to divide 45 / 5 to get the daily hours which is 9

If f(x) = x - 4 and g(x) = 3x + 5, find (f + g)(x).

A.4x+9
B.2x+9
C.2x-1
D.4x+1

Answers

Answer:

4x+1

Step-by-step explanation:

Ufbxkdjdnskkxkdd

Answer:

D. 4x + 1

Step-by-step explanation:

[tex](f+g)(x)=x-4+3x+5\\(f+g)(x)=4x+1[/tex]

If A = {1, 3, 5, 6, 7, 9, 10}, B = {3, 5, 7, 9,10,12}, C = {2, 4, 6, 8, 10,12} (a) Find A U B ( b) Find A U C (c) Find B ∩ C

Answers

Answer:

Step-by-step explanation:

A ∪ B -----> we have to write all the elements from A & B set without duplicating.

B∩C ------> We have to write only the elements that are found in both B set and C set

A) A ∪ B = {1,3,5, 6, 7, 9, 10,12}

b) A ∪ C = {1, 3, 5, 6, 7, 9, 10,2,4,8,12}

c) B ∩ C = {10,12}

Answer:

a. A U B = { 1,3,5,6,7,9,10,12 }

b. A U C = { 1,2,3,4,5,6,7,8,9,10,12}

c. B n C = { 10.12 }

Step-by-step explanation:

a. A U B — you put all the numbers in set A and B together without repeating anything.

A U B = { 1,3,5,6,7,9,10,12}

b. A U C — you put all the numbers in set A and C without repeating anything.

A U C = { 1,2,3,4,5,6,7,8,9,10,12}

c. B n C — you find a common number in sets B and C.

B n C = { 10,12}

The numbers 10 and 12 are the only common thing in sets B

and C.

Chase plans to repaint some classroom bookcases. He has 1 4/7 ​ gallons of paint. All of the bookcases are the same size and each requires 1/3 ​ gallon of paint. How many bookcases will the custodian be able to repaint with that amount of paint?

Answers

The custodian will be able to repaint 4 6/7 bookcases with 1 4/7 gallons of paint because you have to divide the fractions 1 4/7 and 1/3. 1 4/7 divided by 1/3. You’d turn 1 4/7 into a mixed fraction, change the division sign to a multiplication sign, and flip 1/3. Now the equation is 11/7 • 3/1. Multiply 11 and 3 which equals 33 then multiply 7 and 1 which equals 7. The fraction you get should be 33/7 and then you simplify it and it becomes 4 6/7 which is the answer.

Yet another calculus question :)


Given [tex]y = x^3 - 2x[/tex] for [tex]x \geq 0[/tex], find the equation of the tangent line to y where the absolute value of the slope is minimized.

I have tried taking both the first and second derivatives and setting them equal to 0 and using that as the answer, but they're incorrect. Could somebody please explain how to complete the question correctly? Thank you so much!

Answers

Answer:  y = (-4/3)*sqrt(2/3)

This is the same as writing [tex]y = -\frac{4}{3}\sqrt{\frac{2}{3}}[/tex]

============================================================

Explanation:

The phrasing "where the absolute value of the slope is minimized" is an interesting way of saying "the tangent slope is 0". This is because absolute values are never negative, so the smallest it can get is 0.

Your teacher has given you

y = x^3 - 2x

which differentiates into

dy/dx = 3x^2 - 2

after using the power rule

The derivative function lets us determine the slope of the tangent. The slope is the dy/dx value. Since we want a slope of 0, we'll set 3x^2-2 equal to zero and solve for x. So you have the correct idea, but you won't involve the second derivative.

dy/dx = 0

3x^2 - 2 = 0

3x^2 = 2

x^2 = 2/3

x = sqrt(2/3)

Notice how I'm ignoring the negative version of this root. This is due to the fact that [tex]x \ge 0[/tex]

-------------------------

Now plug this x value back into the original equation to find its corresponding y coordinate.

y = x^3 - 2x

y = x(x^2 - 2)

y = sqrt(2/3)*( 2/3 - 2 )

y = sqrt(2/3)*( -4/3 )

y = (-4/3)*sqrt(2/3)

Note that x = sqrt(2/3) leads to x^2 = 2/3 after squaring both sides.

-------------------------

Therefore, the equation of this tangent line is y = (-4/3)*sqrt(2/3)

All horizontal lines are of the form y = k, for some constant k. This constant value is basically what number you want the horizontal line to go through on the y axis. That number would be (-4/3)*sqrt(2/3).

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