Answer:
This task would be especially well-suited for instructional purposes. Students will benefit from a class discussion about the slope, y-intercept, x-intercept, and implications of the restricted domain for interpreting more precisely what the equation is modeling.
One potential confusion students may have follows from the subtle difference between what the car is doing and the idea of slope as the ratio between the change in vertical distance on the graph and the change in horizontal distance on the graph. Because the car is traveling one mile on a down-hill slope, the situation could be represented as a right triangle with a hypotenuse of 5,280 ft and a leg of 250 ft; using the Pythagorean Theorem they would find that the other leg is approximately 5,274 ft. Following through on this interpretation, a student might conclude that the car travels a horizontal distance of approximately 5,274 ft for every 250 ft in vertical distance and arrive at a slope of approximately -0.047. While this is, in some sense, the slope of the hill, it is not the slope of the function as described. This interpretation yields numbers that are very close to the situation described in the task, yet conceptually different since the distance traveled by the car would now be expressed in terms of horizontal distance traveled as opposed to distance along the slope of the hill to compute the elevation. If students do indeed pursue this line of reasoning, the task provides an opportunity to compare and contrast the graph of the function and what it represents with a drawing of the hill and the vertical and horizontal distances traversed with each mile down the slope.
Step-by-step explanation:
From the given function in terms of D the elevation of the car above sea
level can be determined.
Responses:
The slope is the decrease in the elevation per unit increase in distance from the top of the hill.The y-intercept is the elevation of the top of the hill above sea level.The x-intercept is the distance from the top of the hill top when the elevation of the car is at sea level.How can the linear function for the slope and intercept be interpreted?Given:
The function that gives the elevation of the car above sea level, from the top of the hill is given as follows;
Elevation above sea level = 7500 - 250·D
Where;
0 ≤ D ≤ 6
Required:
The meaning of the slope and intercepts of the graph of the function.
Solution:
From the given linear function, of the elevation of the car, we have;
The slope which is -250 = The decrease in the elevation when the distance of the car from the top of the hill increases by 1 mile.The y-intercept, which is 7,500, is the elevation above sea level when the car is 0 mile from the top of the hill, which is when the car is at the top of the hill.The x-intercept is the point at which the elevation, which is the distance the car will be from the top of the hill when it is at sea level.Learn more about linear functions here:
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some one help me with this the highlighted one is the problem
El 35 % de los estudiantes de un centro docente practica el fútbol. El 70 % de los que practican el fútbol estudia Matemáticas, así como el 25 % de los que no practican el fútbol
Answer:
El 40.75% de los alumnos del centro docente estudian matemáticas.
Step-by-step explanation:
Dado que el 35 % de los estudiantes de un centro docente practica el fútbol, y el 70 % de los que practican el fútbol estudia Matemáticas, así como el 25 % de los que no practican el fútbol, para determinar los porcentajes de estudiantes de matemáticas en el centro docente se debe realizar el siguiente calculo, suponiendo que el total de alumnos del centro sea 100:
35 x 70 / 100 = 2,450 / 100 = 24.5%
100 - 35 = 65
65 x 25 / 100 = 1,625 / 100 = 16.25%
24.5 + 16.25 = 40.75
Así, el 40.75% de los alumnos del centro docente estudian matemáticas.
Use two of the equations below to write a system of equations with no solution.
Y = 3x + 1
Y = 3x - 1
-Y= -3x + 1
Answer:
Y = 3x + 1
Y = 3x - 1
Step-by-step explanation:
A system of equations will have no solution if the lines are parallel to each other. Two lines are parallel when they have the same slope. All of your given equations are in the slope-intercept form. Recall the slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. Therefore, the two equations would be Y = 3x + 1 and Y = 3x - 1, which both have a slope of m=3.
Please help (exponents)
Answer:
Barb evaluated correctly
Answer:
Barb is the correct expression
out of 35 students In a class 21 opted for basketball the remaining opted for volleyball what is the probability of choosing a student to opted for volleyball
Answer:
15 student
Step-by-step explanation:
35 - 21
15
Pls mark as branlist
Find the range of each function for the given domain-
Answer:
42
90
Step-by-step explanation:
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2 Graph the system of equations using the line tool. Drag N Drop the rectangle to match the type of solution. If the system has one solution, type the solution y = -x-2 y = -x + 1 TYPE OF SOLUTION One Solution: ( ) No Solution Infinite Solutions Algebra M
Given the side measurements, classify the triangle as acute, right, obtuse, or not a triangle. 11, 13, 25 acute right obtuse not a triangle
RESPUESTA: no es un triangulo
EXPRICACION
The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle so option (D) is correct.
What is a triangle?A triangle is a 3-sided shape that is occasionally referred to as a triangle. There are three sides and three angles in every triangle, some of which may be the same.
The sum of all three angles inside a triangle will be 180°.
For any triangle, the sum of any two sides must be greater than the then third side.
As per the given sides, 11, 13, 25
11 + 13 < 25
24 < 25 so it will not a triangle.
Hence "The sum of any two sides must be greater than the other to be it triangle thus it will not be a triangle".
For more about triangles,
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#SPJ2
circus has 20 performers, of which 6 are dancers.
What is the probability that a randomly selected performer will be a dancer?
Write your answer as a fraction or whole number.
Answer: 1/4
Step-by-step explanation:
Find the centroid of ABC if
A = (2, 2), B = (-1,0), and C = (8,4).
([?], [ ])
Answer:
The centroid of ABC is (3 , 2).
Step-by-step explanation:
The steps are :
[tex]centre = ( \frac{x1 + x2 + x3}{3} \: , \: \frac{y1 + y2 + y3}{3} )[/tex]
[tex]centre = ( \frac{2 + ( - 1) + 8}{3} \: , \: \frac{2 + 0 + 4}{3} )[/tex]
[tex]centre = ( \frac{9}{3} \: , \: \frac{6}{3} )[/tex]
[tex]centre = (3 \: , \: 2)[/tex]
Answer:
The centroid of ∆ABC is (3 , 2).
Step-by-step explanation:
Solution :
Here's the required formula to find the centroid of ∆ABC :
[tex]{\star{\footnotesize{\purple{\underline{ \boxed{\sf{\pink{Centroid = \bigg( \dfrac{x_1 + x_2 + x_3}{3} \: , \: \dfrac{y_1 + y_2 + y_3}{3} \bigg)}}}}}}}}[/tex]
Where :
[tex]\rightarrow\rm{x_1}[/tex] = 2[tex]\rightarrow\rm{x_2}[/tex] = -1[tex]\rightarrow\rm{x_3}[/tex] = 8[tex]\rightarrow\rm{y_1}[/tex] = 2[tex]\rightarrow\rm{y_2}[/tex] = 0[tex]\rightarrow\rm{y_3}[/tex] = 4Substituting all the given values in the formula to find the centroid of ∆ABC
[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{x_1 + x_2 + x_3}{3} \: , \: \dfrac{y_1 + y_2 + y_3}{3} \bigg)}}}}[/tex]
[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{2 + ( - 1) + 8}{3} \: , \: \dfrac{2 +0 + 4}{3} \bigg)}}}}[/tex]
[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{2 - 1 + 8}{3} \: , \: \dfrac{2 +0 + 4}{3} \bigg)}}}}[/tex]
[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{10 - 1}{3} \: , \: \dfrac{2 + 4}{3} \bigg)}}}}[/tex]
[tex]{\implies{\small{\sf{Centroid = \bigg( \dfrac{9}{3} \: , \: \dfrac{6}{3} \bigg)}}}}[/tex]
[tex]{\implies{\small{\sf{Centroid = \bigg( \cancel\dfrac{9}{3} \: , \: \cancel\dfrac{6}{3} \bigg)}}}}[/tex]
[tex]{\implies{\small{\sf{Centroid = \Big( 3\: , \: 2 \Big)}}}}[/tex]
[tex]\star{\underline{\boxed{\rm{\red{Centroid = \Big( 3\: , \: 2 \Big)}}}}}[/tex]
Hence, the centroid of ∆ABC is (3 , 2).
[tex]\rule{300}{1.5}[/tex]
Need help with the answer please and thank you
Apply the Distributive Property to Simplify the Expression
3(36)
Answer:
108
Step-by-step explanation:
LAST QUESTION OF BRAINLY POINT CHALLENGE:
What is the range of the graph?
Answer:
D
Step-by-step explanation:
the graph is forever extending to infinity, so there's no definite range
how would you move the green shape exactly over the gray shape using the fewest moves? check only necessary moves
Answer:
turn and rotate
Step-by-step explanation:
Answer:
Flip then slide
Step-by-step explanation:
I think if you flip the shape it will go the direction of the blue shape then you just need to slide it
F(t) = 212 - 6t
What is the value of t when F(t) = 140
Answer: -628
Step-by-step explanation:
F(140) = 212 - 6(140)
F(140) = 212 - 840
F(140) = -628
I need help please this is due in like 20
Minutes i don’t understand this please !
A restaurant is making table cloths for their four round tables. Each table is a circle with a radius of 2 ft. Each table cloth needs to be 20% larger than the table surface.
How many whole table cloths can the restaurant get out of a piece of fabric with an area of 64 ft²?
Please help!!
Answer:
4
Step-by-step explanation:
Since it gives us the amount of area of material to use we know we want to find how many times we can divide it into tablecloths. So now we need to find how much each tablecloth is.
so first it tells us that each table has a radius of 2 ft, so we find the area using that. area of a circle is [tex]\pi r^2[/tex] so plugging in 2 ft we get 4π square feet or 12.56.
It also says that each tablecloth needs to be 20% bigger, so we find what 20% larger than 4π is. to do this you do 4pi*1.2 = 4.8π = 15.072 square feet.
Now, how many tablecloths with areas of 15.072 square feet can be made from 64 square feet. Hopefully it's obvious you divide. so 64/15.072 = 4.25
Since we want whole tablecloths and that .25 is a remainder, 4 whole tablecloths can be made.
A designer jacket was purchased for $140. Since it was purchased, the price has decreased by 18%. What is the price now?
Answer:
114.8
Step-by-step explanation:
The answer is 114.8 because 18% of 140 is 25.2, then if you subtract that by 140 then you will end up with 114.8.
Solve this and get Brainliest :)
Answer:
Step-by-step explanation:
Kiran has 2 & 3/4 pounds of flour. When he divides the flour into equal-sized bags, he fills 4 & 1/8 bags. How many pounds fit in each bag?
Answer:
The number of pounds that will fit in each bag is 2/3 pounds of flour
Step-by-step explanation:
Here, we want to know the amount of pounds that will fit in each bag
What we have to do here is to divide the total number of pounds of flour, by the number of bags filled
We have this as;
2 3/4 divided by 4 1/8
This is;
11/4 divided by 33/8
= 11/4 * 8/33 = 2/3 pounds
At a particular restaurant, each chicken wing has 75 calories and each slider has 250 calories. A combination meal with chicken wings and sliders is shown to have 800 total calories and twice as many chicken wings as there are sliders. Write a system of equations that could be used to determine the number of chicken wings in the combination meal and the number of sliders in the combination meal. Define the variables that you use to write the system.
Answer:
56
Step-by-step explanation:
According to a 2021 survey, the number of people who voted in favor of online shopping was 2,340. The number of people who voted against the online shopping was 1,260. What percent of the voters were in favor of the online shopping?
Answer:
Step-by-step explanation:
according to me im and idiont
Which of the following would be considered a "like radical" for 2/3?
p equals to 2x + 3 all over 3x - 2 Express the following equation
Answer:
The equation is;
p = (2x + 3)/(3x-2)
Step-by-step explanation:
Here, we want to express the given equation written in words
We have this as;
p = (2x + 3)/(3x-2)
Solve 17 - 2n if n=10
i need help really bad because this is confusing
Help please Brainliest if Correct!!
Answer:
it would be 17
Step-by-step explanation:
rounding just means adding 10
Continue to name one point that is a solution to the
inequality and one point that is not a solution.
y ≤ 3x + 4
Answer:
y≤6x+8
Step-by-step explanation:
Given function:
y≤3x+4This means:
variable stays same
if y=7 then x=1 and if y=14 then x can be 2 or 3.
we can also think as:
y≤6x+8
what we did:
double the number: 3x+4 · 2 = 6x+8
Therefore, another equation for y≤3x+4 would be y≤6x+8.
WHAT IS THE SLOPE-INTERCEPT EQUATION FOR THE COST OF A SUB AT FEDS SUB SHOP