Given:
The railing will begin at a height of 36 inches.
Height decreases 9 inches for every 12 horizontal inches.
To find:
The function for this situation.
Solution:
Let y be the height of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs.
Initial height = 36
So, y-intercept is 36.
Height decreases 9 inches for every 12 horizontal inches. So,
[tex]\text{Slope}=\dfrac{\text{Vertical change}}{\text{Horizontal change}}[/tex]
[tex]m=\dfrac{-9}{12}[/tex]
[tex]m=-\dfrac{3}{4}[/tex]
Slope intercept form of a line is
[tex]y=mx+b[/tex]
Substitute [tex]m=-\dfrac{3}{4}[/tex] and b=36.
[tex]y=-\dfrac{3}{4}x+36[/tex]
The required function is [tex]y=-\dfrac{3}{4}x+36[/tex].
Therefore, the correct option is A.
Answer:
A
Step-by-step explanation:
Caitlin is designing a railing for a set of stairs. The railing will begin at a height of 36 inches and follow the slant of the stairs, which decreases 9 inches for every 12 horizontal inches.
A drawing of the side view of a set of 4 stairs. There are lines drawn to show a railing that is at the highest point of the stairs and labeled 36 inches.
Which function can represent the height, y, of the railing in inches according to the horizontal distance in inches, x, from the top of the stairs?
y = –StartFraction 3 Over 4 EndFractionx + 36
y = –3x + 36
y = StartFraction 3 Over 4 EndFractionx + 36
y = 3x + 36
What would be the answer ? Please explain and show work.
Answer:
The pool is 400 square meters
Step-by-step explanation:
To figure out the are of a slanted shape such as this, we must turn it into a shape that is non-slanted, like a rectangle or square (which is a type of rectangle). For this parallelogram, we can separate the shape into three parts: the two slanted bits on the outside, and a rectangle (7*2) in the middle (or on the inside).
We can see that each slanted part can take up half of two squares, and therefore one square. From here on out, we can do this one of two ways:
1. Figure out the area of the inside rectangle, then add the two slanted parts/two squares separately
OR
2. Since each slanted area equals one square, or since each is half of two square, we can add both sides together (for 1/2 + 1/2 = 1, or in this case, 1 +1 = 2), to make a full or complete rectangle, before figuring out the area of the shape as a whole (8*2).
8*2 = 16
Each square is 1 cm squared, which is in proportion to 25 meters squared (each cm is 5 meters (1:5), so the square, which is 1 cm by 1 cm, is proportionate to 5 meters by 5 meters).
16*25 = 400
The pool is therefore 400 square meters.
When dividing or multiplying both sides of an inequality by a negative number, you?
Answer:
Flip the sign.
Step-by-step explanation:
For example if it was -2<3 youd flip the sign when you get your answer. So it would be -2>3 except itd be your answer. I just made this problem up but flip the sign!
I need help graphing y equals -4/3 x - 1 o
Answer:
Check out my graph!
It normally takes Julius 2 hours to mow the yard, but because he is in a hurry he asks his son, Marcos, to help him. If just his son was doing the yard work it would take him 3 hours. How long will it take if both are working together? Use the formula 1/T_1 +1/T_2 =1/T_both where T_1 is the time required for Julius to complete the job alone, T_2 is the time required for Marcos to complete the job alone, and T_both is the time required to complete the job when they both work together. Answer as a decimal, rounded to one decimal place.
Answer: 1.2 hours
Step-by-step explanation:
Given: : Time taken by Julius to complete the job alone: [tex]T_1=2\text{ hours}[/tex]
Time taken by Marcos to complete the job alone : [tex]T_2=3\text{ hours}[/tex]
Let the time taken by both to complete the job together = T
[tex]\dfrac{1}{T}=\dfrac{1}{T_1}+\dfrac{1}{T_2}[/tex]
[tex]\Rightarrow\ \dfrac{1}{T}=\dfrac{1}{2}+\dfrac13\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{3+2}{2\times3}\\\\\Rightarrow\ \dfrac{1}{T}=\dfrac{5}{6}\\\\\Rightarrow\ T=\dfrac{6}{5}=1.2[/tex]
Hence, it will take 1.2 hours to complete the job by working together.
A salt mixture has 8 parts water and 2 parts salt. Suppose one part of each is added. What is the new ratio of salt
to water?
2to 9
3to 8
3 to 9
9 to 3 I will giv brainliest
Answer:
3 to 9
Step-by-step explanation:
Write three different complex fractions that simplify to 1/4.
Answer:
7/11 over 28/11
15/4 over 15
13/16 over 13/4
Step-by-step explanation:
Is the function f(x) = (x+2)/2
A. Even
B. Odd
C. Neither
Answer:
c
Step-by-step explanation:
If two quantities vary directly, which must be true of a graph showing the relationship between them? Select all that apply.
A) The graph is a curve.
B) The points on the graph are connected.
C) The graph increases from left to right.
D) The points of the graph form a straight line.
E) The points of the graph must include the origin.
F) The points must all form equivalent ratios.
Answer:
Step-by-step explanation: D. F. And
E
help it’s confusing
Answer:
The independent variable
Step-by-step explanation:
b
Step-by-step explanation:
the amount that he gets paid for every lawn does not change only the amout for every hour
Find the slope of the line whose equation is
2x - 4y = 8.
A. -4
B. 7
C. -1/2
D. 1/2
Answer:
D)
Step-by-step explanation:
help pleaseeeeeeeeeee
the answer is the last 2. the 3rd one are both equal to -72 and the last one they both equals to 0.75.
Find a cubic function with the given zeros 7,-7,-4
f(x) = (x-7)(x+7)(x+4)
= (x^2 - 49)(x+4)
= x^3 + 4x^2 - 49x - 196
What is are the slope and the y-intercept for Savings Account A *
0 points
This is a required question
What is are the slope and the y-intercept for Savings Account H *
0 points
What is are the slope and the y-intercept for Savings Account C *
0 points
What is are the slope and the y-intercept for Savings Account D *
0 points
What is are the slope and the y-intercept for Savings Account E *
0 points
What does the y-intercept represent in this situation? *
0 points
What does the slope represent in this situation? *
0 points
Answer:
Sweet potato applesauce
Step-by-step explanation:
will give brainliest!
Answer: I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.
Step-by-step explanation:
The percentage of the body affected by the disease is a function of the number of days:
P(d) = 6d + 5This percentage is a dependent variable and the number of days is the independent variable.
If we give values to d, we can calculate the percentage of the body affected by the disease.
P(1)= 6·1 + 5 = 11%
P(2)= 6·2 + 5 = 17%
P(3)= 6·3 + 5 = 23%
P(4)= 6·4 + 5 = 29%
P(5)= 6·5 + 5 = 35%
P(6)= 6·6 + 5 = 41%
P(7)= 6·7 + 5 = 47%
P(8)= 6·8 + 5 = 53%
Depending on the days since the beginning of the disease, the doctors have a treatment for a different stage.
Starting immediately, the treatment will be stage 1: less than 15%
Starting on day 2 or 3, the treatment will be stage 2: 15-25%
After day 3, the treatment will be stage 3: 25-50%
After day 8, there is no cure: more than 50% of the body is affected by the disease.
I recommend starting treatment immediately. If you take more than 8 days to make a decision, the disease can no longer be cured because it will affect more than 50% of the body.
Spymore
Jaelon knows that the left and right sides must weigh the same. How heavy is the left
side of the bar that Kenneth will lift if he does not add or remove any plates?
A 7 lbs.
B 47 lbs.
C 52 lbs.
D 94 lbs.
Answer:
Step-by-step explanation:
What’s the answer?
Answer: 7lbs
Step-by-step explanation: You start off with the equation
6x+5 = x+40 Next you subtract 5 from both sides
-5 - 5
_____________ Then, subtract x from both sides
6x = x+35
-x -x
_____________ Then divide 5 form both numbers
5x= 35
5 5 Your answer is 7
x= 7
Which of the following does a pictograph most resemble?
Answer:
what are the options?
Step-by-step explanation:
Write an expression equivalent to 5x−2(x+4), in simplest form
Answer:
3x-8
Step-by-step explanation:
I searched the answer on a expression calculator. I hope this helps you
Answer:
3x-8
Have A Good Day!!!!
:)
Triangle ABC is shown with four images that are each the result of a transformation of triangle ABC
5
D
4 +6
3+B
N
1
-5 -4 -3 -2 -14
1 2 3
4
5
X
G
S
For which triangle is one reflection necessary for the transformation to occur?
O AGHI
O AJKL
O AMNP O AQRS
Answer:
AGHI
Step-by-step explanation:
I took the quiz on edgenuity
The triangle where one reflection necessary for the transformation to occur is triangle GHI.
What is a triangle?A triangle is known to be a polygon that is made up of three edges and it is one that also has three vertices.
Note that order of arrangement of the vertices in ΔABC can be regarded as a clockwise direction. The same is with the images except for the one of ΔGHI. A reflection is needed when reversing a sequence of vertices. but only one reflection is needed to obtain an image like that of ΔGHI.
Learn more about triangle from
https://brainly.com/question/17335144
A real estate agent sells a house for $92,000. She receives a 6% commission on the sale of the house.
How much did she earn on the sale?
Round your answer to the nearest cent.
Answer:
Step-by-step explanation:
Commission = % * Base Price
Commission = 6/100 * 92000
Commission = $5520.00
Which of these are rational number?
Which of these are irrational number?
Which of these are real numbers?
A)/8
B)3/2
C)-31
D)/4
E)/-9
F)/11
Answer:
they are all real.
B and C are rational
A, D, E, and F are irrational
Step-by-step explanation:
Which of these operations is not closed for polynomials?
O A. Addition
O B. Division
O C. Multiplication
1/3(6z+7.2)=0.5(8z+2)-0.4 please hurry this is for now
Answer:
z = - 0.78
Step-by-step explanation:
Given:
1/3(6z+7.2)=0.5(8z+2)-0.4
Open parenthesis
2z + 2.4 = (4z + 1) - 0.4
2z + 2.4 = - 1.6z - 0.4
Collect like terms
2z + 1.6z = - 0.4 - 2.4
3.6z = -2.8
z = -2.8 / 3.6
= - 0.78
solve
P
=
144
p
y
P
=
144
p
y
for
p
p
Andy works at a grocery store. The manager of the store would like Andy to set up a display of apples. Part of the display will include bags of apples. If there are 39 pounds of apples in the back of the store, how many bags of apples can Andy make for the display? each bag has 1 1/2 pound
Answer:
Andy can make 26 bags for the display.
Step-by-step explanation:
Quantity of apples in the back of the store = 39 pounds
Quantity of apples in one bag = [tex]1\frac{1}{2}[/tex] pounds
Here,
[tex]1\frac{1}{2}=\frac{2(1)+1}{2}=\frac{3}{2}[/tex]
Number of bags = Quantity of apples in the back of the store / Quantity of apples in one bag
[tex]=\frac{39}{1\frac{1}{2} }=\frac{39}{\frac{3}{2} }=39(\frac{2}{3})=26[/tex]
So, Andy can make 26 bags for the display of apples.
The length of a rectangle is 3x^4 and the width is 5x^5. What is the
area of the rectangle? *
[tex]\boxed{\underline{\blue{\textrm{Area of Rectangle = l × b}}}}[/tex]
Length of rectangle = 3x⁴width of Rectangle = 5x⁵Area = 3x⁴ × 5x⁵
Area of rectangle = 15x⁹
Answer:
Area of rectangle = 15x⁹
NEED HELP ASAP (timed test)
chase drew the graph of f(x)=x. he translated the graph 5 units up to get the graph of g(x).next he translated the graph 7 units to the left to get the graph of h(x).which of the following is an equation of h(x)? A.h(x)=(x+7)+5 B.h(x)=(x-7)+5 C.h(x)=(x+7)-5 D.h(x)=(x-7)-5
please explain too thank you! :)
Answer:
b
Step-by-step explanation:
the awnser is b
Will give brainliest asap please
Answer:
Possible rational roots: ±1,±5.
Actual rational roots: −1,5.
Step-by-step explanation:
The trailing coefficient (coefficient of the constant term) is −5.
Find its factors (with plus and minus): ±1,±5. These are the possible values for p.
The leading coefficient (coefficient of the term with the highest degree) is 1.
Find its factors (with plus and minus): ±1. These are the possible values for q.
Find all possible values of pq: ±11,±51.
Simplify and remove duplicates (if any), these are possible rational roots: ±1,±5.
Next, check the possible roots: if a is a root of the polynomial P(x), the remainder from the division of P(x) by x−a should equal 0.
Check 1: divide x3−3x2−9x−5 by x−1.The quotient is x2−2x−11 and the remainder is −16
Check −1: divide x3−3x2−9x−5 by x+1.The quotient is x2−4x−5 and the remainder is 0
So, −1 is a root.
Check 5: divide x3−3x2−9x−5 by x−5.The quotient is x2+2x+1 and the remainder is 0
So, 5 is a root.
Check −5: divide x3−3x2−9x−5 by x+5.The quotient is x2−8x+31 and the remainder is −160
Please help me out .
Answer:
Midpoint is on 0; Midpoint is Point K
Step-by-step explanation:
Joel used a half gallon of paint to cover 84 square feet of wall he has 932 square feet of walls of paint how many gallons of paint should you purchase
Answer:
About 6 gallons of paint
Step-by-step explanation:
[tex]\frac{0.5}{84}[/tex] = [tex]\frac{x}{932}[/tex]
84x=932(0.5)
84x=466
x = 5.55
round up to get about 6 gallons of paint
The number of the gallon of paint is need will be 5.547 gallons of paint.
What are ratio and proportion?A ratio is a collection of ordered integers a and b represented as a/b, with b never equaling zero. A proportionate expression is one in which two items are equal.
Joel used a half gallon of paint to cover 84 square feet of wall.
Then in one gallon of paint he can cover 168 square feet.
He has 932 square feet of walls of paint.
Then the number of the gallon of paint is need will be
⇒ 932 / 168
⇒ 5.547 gallons of paint
More about the ratio and the proportion link is given below.
https://brainly.com/question/14335762
#SPJ2
A new underground rollercoaster is being installed. The height of the rollercoaster in feet throughout the underground section is modeled by the equation h(d) = 0.15d2 – 1.5d, where d represents horizontal distance in feet. What's the height of the rollercoaster 6 feet horizontally through the underground section?
Answer:
3.6 feet
Step-by-step explanation:
The height of the rollercoaster in feet throughout the underground section is modeled by the equation :
[tex]h(d) = 0.15d^2 - 1.5d[/tex] ....(1)
We need to find the height of the rollercoaster 6 feet horizontally through the underground section.
Put d = 6 feet in equation (1) as follows :
[tex]h(6) = 0.15(6)^2 - 1.5(6)\\\\h=-3.6\ \text{feet}[/tex]
or
h = 3.6 feet
So, the height of the rollercoaster 6 feet horizontal through the underground section is 3.6 feet.
Answer:
3.75 feet
Step-by-step explanation: