Terry is trying to place a satellite dish on the roof of his house at the recommended height of 18 feet. His house is 32 feet wide, and the height of the roof can be described by the function below,where x is the distance along the width of the house. Where should Terry place the dish? h(x) = -3/2 | x - 16 | + 24 A: No place is high enough B: Right at top C: 12 or 20 feet from the edge D: 4 or 28 feet from the edge

Answers

Answer 1

Answer:

C: 12 or 20 feet from the edge

Step-by-step explanation:

We are told the recommended height is 18 feet and that the function describing the height is;

h(x) = -(3/2)|x - 16| + 24

This means that;

-(3/2)|x - 16| + 24 = 18

Multiply through by -2/3 to give;

|x - 16| + 24(-2/3) = 18(-2/3)

|x - 16| - 16 = -12

Add 16 to both sides to get;

|x - 16| = 16 - 12

|x - 16| = 4

Add 16 to both sides to get;

Expanding the absolute value problem, we have;

x - 16 = 4 or -(x - 16) = 4

Thus;

x = 16 + 4 or -x + 16 = 4

x = 20 or x = 16 - 4

x = 20 or x = 12

Since x is the distance along the width of the house, then Terry should place the dish 12 or 20 feet from the edge


Related Questions

A banquet hall has just two sizes of tables.
One size seats exactly 5 people, and the other size seats exactly 8 people.
At tonight’s banquet, exactly 79 people will be seated at less than one dozen tables, and there will be no empty places.
How many tables of each size will there be at the banquet?

Answers

Answer:

3 8 person tables. 11 5 person tables.

Step-by-step explanation:

I WILL GIVE BRAINLIEST!!!

Answers

Answer:

C. -4

I hope this helps!

I put a pic of question here. I'm in 8th grade

Answers

y = 115

x = 78

The angles in each line have to add up to 180. In this case, it doesn't show the other side of the angle, but you could probably think of it.

There are 55 black balls and 88 red balls in an urn. If 44 balls are drawn without replacement, what is the probability that no more than 11 black ball is drawn

Answers

Answer:

[tex]Probability = \frac{70}{143}[/tex]

Step-by-step explanation:

Given

[tex]Black = 5[/tex]

[tex]Red = 8[/tex]

[tex]Total = 13[/tex]

To solve the required probability, we need to determine the number of available selections:

There are two possible scenarios;

1: All 4 selections are red.

2. 1 selection is black, while 3 others are red

Scenario 1: All Red

[tex]^8C_4 = \frac{8!}{(8-4)!4!}[/tex]

[tex]^8C_4 = \frac{8!}{4!4!}[/tex]

[tex]^8C_4 = \frac{8*7*6*5*4!}{4!4!}[/tex]

[tex]^8C_4 = \frac{8*7*6*5}{4!}[/tex]

[tex]^8C_4 = \frac{8*7*6*5}{4*3*2*1}[/tex]

[tex]^8C_4 = \frac{1680}{24}[/tex]

[tex]^8C_4 = 70[/tex]

Scenario 2: 1 Black, 3 Red

Selecting Black:

[tex]^5C_1 = \frac{5!}{(5-1)!1!}[/tex]

[tex]^5C_1 = \frac{5!}{4!1!}[/tex]

[tex]^5C_1 = \frac{5*4!}{4!*1}[/tex]

[tex]^5C_1 = 5[/tex]

Selecting Red:

[tex]^8C_3 = \frac{8!}{(8-3)!3!}[/tex]

[tex]^8C_3 = \frac{8!}{5!3!}[/tex]

[tex]^8C_3 = \frac{8*7*6*5!}{5!3*2*1}[/tex]

[tex]^8C_3 = \frac{8*7*6}{6}[/tex]

[tex]^8C_3 = 8*7[/tex]

[tex]^8C_3 = 56[/tex]

Number of Selection = 5 * 56

[tex]Selection = 280[/tex]

Total Available Selection is calculated as thus:

[tex]Available\ Selection = 70 + 280[/tex]

[tex]Available\ Selection= 350[/tex]

Next, is to calculate the number of possible selections:

i.e 4 balls out of 13

This is calculated as:

[tex]^{13}C_4 = \frac{13!}{(13-4)!4!}[/tex]

[tex]^{13}C_4 = \frac{13!}{9!4!}[/tex]

[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10 * 9!}{9!4*3*2*1}[/tex]

[tex]^{13}C_4 = \frac{13 * 12 * 11 * 10}{4*3*2*1}[/tex]

[tex]^{13}C_4 = \frac{17160}{24}[/tex]

[tex]^{13}C_4 = 715[/tex]

[tex]Probability = \frac{Available\ Selection}{Possible\ Selection}[/tex]

[tex]Probability = \frac{350}{715}[/tex]

[tex]Probability = \frac{70}{143}[/tex]

fill the missing number to make each expression equal. +2=16+3?

Answers

Answer:

14

Step-by-step explanation:

14+2=16+3

Answer:

Number Operation =

given that the equation we must maintain the similarities. so that :

15 - 2 = 20 - 7

13 = 13

a + 2 = 16 + 3

a + 2 = 19

a = 19 - 2

a = 17

13 - 6 = b - 9

7 = b - 9

7 + 9 = b

b = 16

10 . 6 = 15 . c

60 = 15c

c = 60/15

c = 4

10/d = 20/4

10/d = 5

d = 10/5

d = 2

.

Uh, uh, uh, uh

Day and night (what, what)
I toss and turn, I keep stressing my mind, mind (what, what)
I look for peace but see I don't attain (what, what)
What I need for keeps this silly game we play, play
Now look at this (what, what)
Madness to magnet keeps attracting me, me (what, what)
I try to run but see I'm not that fast (what, what)
I think I'm first but surely finish last, last

'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night
At, at, at, at, at, at night

Hold the phone (what, what)
The lonely stoner, Mr. Solo Dolo (what, what)
He's on the move can't seem to shake the shade (what, what)
Within his dreams he see's the life he made, made
The pain is deep (what, what)
A silent sleeper you won't hear a peep, peep (what, what)
The girl he wants don't seem to want him to (what, what)
It seems the feelings that she had are through, through

'Cause day and night
The lonely stoner seems to free his mind at night
He's all alone through the day and night
The lonely loner seems to free his mind at night (at, at, at night)
Day and night
The lonely stoner seems to free his mind at night
He's all alone, some things will never change (never change)
The lonely loner seems to free his mind at night (at, at, at night)

Day and night
The lonely stoner seems to free his mind at night
He's all alone somethings will never change
The lonely loner seems to free his mind at night (at, at, at night)

At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night
At, at, at, at, at, at night

Answers

Answer:

is that a song you write cause it is good

Step-by-step explanation:

Step-by-step explanation:

My favorite Kid Cudi song, without a doubt. It was one of those songs that was such a huge part of my childhood that I forgot about until maybe a year ago, when I relistened to some Kid Cudi projects and rediscovered this gem. Production's phenomenal, the atmosphere is super fitting when compared to the lyrics, and Cudi's voice works great here.

What is the slope of the line shown?

Answers

Answer:

The slope is 2, or 2/1

Step-by-step explanation:

If you count the rise/run, you get 4/2, which simplifies to 2/1, which is the same as 2.

Heeeeeeeeeeeeeeeeeeeeelllllllllllllppppppppppp

Answers

Answer:

You should add both sides by 1 to isolate the variable first.

To continue solving, divide both sides by -7 and you end up with p = -2.

Given: -8(x+1)=-5(x+10) prove x=14

Answers

-8(x+1)=-5(x+10)

-8x-8=-5x-50

+50           +50

-8x+42=-5x

+8x        +8x

42=3x

/3     /3

14=x

Find the value of x.

The answer choices are: 5, 7, 3, 11, 9

Answers

Answer:

x = 3

Step-by-step explanation:

Hi there !

DBC + CBV = 180°

DBC + BDC + DCB = 180°  }=> VBC = BDC + DCB

replace

20x + 5 = 9x - 2 + 40

solve the equation

20x - 9x = 40 - 2 - 5

11x = 33

x = 33 : 11

x = 3

Good luck !

an = −7.1 − 2.1n Find a27


Answers

Answer:

An = -63.8

Step-by-step explanation:

−7.1 − 2.1n

−7.1 − 2.1(27)

-7.1 - 56.7 = -63.8

An = -63.8

What is the ratio of 48 to 60

Answers

the ratio of 48 to 60 would be 80%

6th grade math I mark as brainliest

Answers

Answer:

the second one I think

Step-by-step explanation:

dont come at me if it's wrong please

Answer:

8.962

Step-by-step explanation:

8×1+9×0.1+6×0.01+2×0.001

8+0.9+0.06+0.002

8.962

What is 5 plus 5 minus two plus three mines 17

Answers

Your question: 5+5-2+3


The answer would be: 11

Answer:

-6

Step-by-step explanation:

5+5=10 10-2=8 8+3=11 11-17=-6

At the sixth-grade school dance, there are 132 boys, 89 girls, and 14 adults.
A. Write the ratio of the number of boys to the number of girls.

B. Write the same ratio using another form (A: B vs. A to B).

C. Write the ratio of the number of boys to the number of adults.

D. Write the same ratio doing another form. (I’m only 11 so I’m in sixth grade)

Answers

a. 132:89

b.132 to 89

c.132:14

b. 132 to 14

One number is 4 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 280, find the numbers. The three numbers are:

Answers

Answer:  The first number is 30.

The second number is 120.

The third number is 130

Step-by-step explanation:

x + 4x + x+ 100 = 280

6x = 280-100

6x= 180

x = 30

The shape of a sample distribution is approximately

Answers

Answer:

A theorem that explains the shape of a sampling distribution of sample means. It states that if the sample size is large (generally n ≥ 30), and the standard deviation of the population is finite, then the distribution of sample means will be approximately normal.

Step-by-step explanation:

google

can I have brainliest

Find the midpoint of the segment between (6,7) and (6,-5)

(0, -1)
(6,1)
(1,6)
(0, 1).
Helpppo pleasee

Answers

Answer:

(6,1)

Step-by-step explanation:

midpoint = ((x2+x1),(y2+y1)/2)

= (6+6)/2, (-5+7)/2

= 12/2, 2/2

= 6,1

Answer:

(6, 1)

Step-by-step explanation:

GivenSegment (6, 7) and (6, -5)To findMidpoint Solution

x- coordinates same so the line is vertical and we'll only calculate the y-coordinate

x= 6y = (7 + (-5))/2 = 2/2 = 1

So the point is

(6, 1)

A box of books has 12 fiction and 14 nonfiction books in it. Determine the odds in favor of you selecting a fiction book from the box.

Answers

Answer:

Odds in favor(Fiction book) = 6 / 13

Step-by-step explanation:

Given:

Number of fiction books = 12

Number of non-fiction books = 14

Find:

Odds in favor(Fiction book)

Computation:

Odds in favor(Fiction book) = Number of fiction books / Total books

Odds in favor(Fiction book) = 12 / (12+14)

Odds in favor(Fiction book) = 12 / 26

Odds in favor(Fiction book) = 6 / 13

13. What is the width of a rectangle with length 14 cm and area 161 cm??

Answers

[tex]\huge\red{Question}[/tex]

what is the width of a rectangle with length 14 Cm and area 161 Cm^2?

[tex]\huge\green{Answer}[/tex]

Area = width * length

161 = W * 14

W = 161/14 = 11.5

Answer: width of rectangle is W = 11.5 cm

ӇƠƤЄ ƖƬ ӇЄԼƤƧ❤

The fence is rectangular, so use the formula for the area of a rectangle: .

You know the area (A = 300 ft2) and the width (w = 4 ft), but not the length. The formula would be more useful if it were rewritten to solve for the length in terms of the area and width. Rewrite the formula by dividing both sides by the width.


Use the formula to find the length of fence (in feet) that can be painted.

Answers

Answer: New formula is A/w=l

Length equals 75ft.

Step-by-step explanation:

A=l x w           Area of a rectangle formula.

A/w=l              Solve for length

300=l x 4      

300=l x 4

4           4

300/4=l

75=l

The new formula is A/w=l and  Length= 75ft.

A=l x w        (Area of a rectangle formula)

A/w=l           (Solve for length)

300=l x 4      

300=l x 4

300/4=l

75=l

What's the vicinity system?

Given a rectangle with duration l and width w, the system for the location is A = lw (rectangle). that is, the place of the rectangle is the duration accelerated by the width. As a unique case, as l = w inside the case of a rectangular, the location of a rectangular with facet duration s is given with the aid of the formulation: A = s2 (rectangular)

The perimeter P of a rectangle is given through the formulation, P=2l+2w, wherein l is the period and w is the width of the rectangle. The location A of a rectangle is given with the aid of the system, A=lw, where l is the length and w is the width.

Learn more about the area of a rectangle here: https://brainly.com/question/25292087

#SPJ2

The angle between 0° and 360° that is coterminal with the 664° angle is
degrees.

Answers

Answer:

it would be 0.5 degrees

the correct increasing order of integers of 18,-20,- 30, 70, 20 is​

Answers

Answer:

 -30, -20, 18, 20 and 70

Step-by-step explanation:

The given numbers:

       18, -20, - 30, 70, 20

The more negative an integer is, the smaller it is. Let us rearrange the set of numbers:

        -30, -20, 18, 20 and 70

Based on increasing order of integers, the numbers are:

        -30, -20, 18, 20 and 70

show your work please hurry
−17 = x − 15

Answers

Answer:

x = -2

Step-by-step explanation:

-17 = x - 15

+15      +15

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

-2 = x

Answer:

-17=x-15, move the terms.
-x=-15+17, add them together.
-x=2, move the signs, and your answer is...
x=-2

If x2 = 20, what is the value of x?

Answers

Answer:

10

Step-by-step explanation:

20/2=10 so x=10

Answer:

10

Step-by-step explanation:

What is the value of -x² - 4x - 11 if x = -3​

Answers

Answer:

-74 your welcome

Step-by-step explanation:

D/3.5-13>-17 solve this equation

Answers

Answer:

70.5

Step-by-step explanation:

multiply the denominator 3.5 on both sides.

you get 57.5 + 13 = 70.5

Whats x solve 1/3x-2/3=-18

Answers

Answer:

[tex]x=-52[/tex]

Step-by-step explanation:

multiple everything by 3 to get rid of the fractions

[tex]3(1/3x-2/3=-18)\\1x-2=-54\\[/tex]

rewrite

[tex]x-2=-54[/tex]

add 2 to both sides

[tex]x-2+2=-54+2\\x=-52[/tex]

Answer:

[tex]x=-52[/tex]

Step-by-step explanation:

[tex]\frac{1}{3} x-\frac{2}{3} =-18[/tex]

Add [tex]\frac{2}{3}[/tex] to both sides of the equation:

[tex]\frac{1}{3} x=-18 +\frac{2}{3}[/tex]

Simplify [tex]-18+\frac{2}{3}[/tex] by multiplying [tex]-18[/tex] in fraction form [tex]-\frac{18}{1}[/tex] to get a common denominator so you can add the two fractions:

[tex]-\frac{18}{1}[/tex] × [tex]\frac{3}{3}=-\frac{54}{3}[/tex]

Now add the two fractions:

[tex]-\frac{54}{3} +\frac{2}{3} =-\frac{52}{3}[/tex]

Now write the simplified equation:

[tex]\frac{1}{3} x=-\frac{52}{3}[/tex]

Divide both sides of the equation by the coefficient of [tex]x[/tex], which is [tex]\frac{1}{3}[/tex]:

[tex]x=-\frac{52}{3}[/tex] ÷ [tex]\frac{1}{3}[/tex]

Use the reciprocal of the dividend ([tex]\frac{1}{3}[/tex]), and multiply by your divisor:

[tex]x=-\frac{52}{3}[/tex] × [tex]\frac{3}{1}[/tex]

[tex]x=-\frac{156}{3}[/tex]

Simplify the fraction by dividing [tex]-156[/tex] into [tex]3[/tex]:

[tex]x=-52[/tex]

Does anyone know what the answer is?​

Answers

Answer:

0.974.

Step-by-step explanation:

You have to use a correlation calculator.


Write an equation in slope-intercept form that is parallel to y=2x-5 and
passes through (3,4) *

Answers

Step-by-step explanation:

An equation in slope intercept form that is parallel to y=2x-5 is y=2x-2

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