Harper simplemente encendió una vela nueva y luego la dejó arder hasta la nada. La longitud de la vela que permanece sin quemar, en pulgadas, se puede modelar mediante la ecuación L = 15-1.5t, L = 15−1.5t, donde tt representa el número de horas desde que se encendió la vela. ¿Cuál es la pendiente de la ecuación y cuál es su interpretación en el contexto del problema?
Answer:
La pendiente de la ecuación es -1.5 y su interpretación en el contexto del problema es que en este caso este valor indica que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.
Step-by-step explanation:
La función lineal se define por la ecuación
f(x) = mx + b
o
y = mx + b
donde m es la pendiente de la recta y b es la ordenada al origen.
La gráfica de una función lineal es siempre una recta.
Como se mencionó, la m es la pendiente de la recta. La pendiente es la inclinación con respecto al eje x, que es el eje de abscisas.
La pendiente m significa que si aumentamos la x en una unidad, la y aumenta en m unidades. Si m es positiva (m > 0), entonces la función es creciente. En cambio, si la m es negativa (m < 0), entonces la función es decreciente.
En este caso, siendo L=1.5 - 1.5t y comparando con la expresión y=mx + b, podes observar que el valor de la pendiente m es -1.5. Como m es un número negativo, entonces se trata de una función decreciente. En este caso este valor de pendiente indica entonces que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.
La pendiente de la ecuación es -1.5 y su interpretación en el contexto del problema es que en este caso este valor indica que la longitud L de la vela luego de t horas desde que se encendió la decrece en 1.5 unidades por cada hora.
X-7
4x + 1
ngle.
6x + 2
Find the perimeter
Answer:
ANSWER
GIVEN:
OA= 3x-1 , OC= 5x-3, OD= 6x-5 , BO = 2x+1
AO/OC = BO/OD
[The diagonals of a Trapezium divide each other proportionally]
(3x-1)/(5x-3) =( 2x+1)/(6x-5)
(3x-1) (6x-5) = (5x-3) ( 2x+1)
3x(6x-5) -1 (6x-5) = 2x(5x-3)+1(5x-3)
18x² -15x -6x +5 = 10x² -6x +5x -3
18x² -21x +5 = 10x² - x -3
18x² -10x² -21x + x +5+3 =0
8x² - 20x +8= 0
4(2x² -5x +2) = 0
2x² -5x +2 = 0
2x² -4x -x +2= 0
[By factorization]
2x(x-2) -1(x-2)= 0
(2x-1) (x-2) = 0
(2x-1) = 0 or (x-2) = 0
x = ½ or x = 2
If we put x= ½ in OD , The value of OD is negative.
Hence, the value of is x = 2.
Step-by-step explanation:
1 =29 and 2=44...............
What is the binary number for 4
Step-by-step explanation:
[tex]4=2^2=\bold1\cdot2^2+\bold0\cdot2^1+\bold0\cdot2^0\\\\4_{10}=\bold{100}_2=0100_2[/tex]
what is the answer for this -4(x-1)+6x=2(17-x)
Answer:
15/2 or 7.5
Step-by-step explanation:
-4(x-1)+6x=2(17-x) PEDMAS
-4x+4+6x=34-2x combine terms
2x+4=34-2x subtract 4 and add 2x
4x=30 divide by 4
x=15/2
Answer:
Step-by-step explanation:
-4x + 4 + 6x = 34 - 2x
Solving like terms
2x + 4 = 34 - 2x
Bringing like terms on one side
2x + 2x = 34 - 4
4x = 30
x = 30/4
x = 15/2
simplify 4 ^ 9 x 4 ^ 3
1. 4 ^ 9 x 4 ^ 3
2. 4^9+3
answer: 4^12
Good luck!
i need help on this please
Answer:
1 solution
Step-by-step explanation:
If you solve for the system of equations you get (0,1) or x=0; y=1. This leads us to select B: One Solution as our answer choice.
If you can please give my answer the brainliest that would be much appreciated. Thanks!
find the line of reflection if the image of (-5, -2) is each of the following
a. (5, -2) |_____|
b. (2, 5) |_____|
c. (-5, 0) |_____|
d. (1, -2) |_____|
Answer:
A: -5, 2
B: -2, -5
C: 5, 0
D -1, 2
Hope this helps!
Write the equation of the line that passes through the points (2,5) and (2, -6). Put
your answer in fully reduced point-slope form, unless it is a vertical or horizontal line.
In the figure below, m angle WXZ=113°, and m angle2 is 3° more then m angle1 Find m angle1
Answer:
m∠1 = 55° ; m∠2 = 58°
Step-by-step explanation:
Let m∠1 = x° , then m∠2 = x° + 3°
m∠1 + m∠2 = 113°
x° + x° + 3° = 113°
2x + 3 = 113
2x = 110
x = 55°
m∠1 = 55° and m∠2 = 58°
The value of m∠[tex]1[/tex] is [tex]55[/tex]° and m∠[tex]2[/tex] is [tex]58[/tex]°
In the given figure m∠WXZ = [tex]113[/tex]° and m∠[tex]2[/tex] is [tex]3[/tex]° more than m∠[tex]1[/tex].
What is angle?
An angle is formed when two rays are joined together at a common point.
Now,
Let m∠[tex]1[/tex] = x° and m∠[tex]2[/tex] = x° + 3°
According to given figure;
m∠[tex]1[/tex] + m∠[tex]2[/tex] = 113°
x° + x° + 3° = 113°
2x° + 3° = 113°
2x° = 110°
x° = 55°
Hence, the value of m∠[tex]1[/tex] = x° = 55° and m∠[tex]2[/tex] = 55° + 3° = 58°
Learn more about the Angle visit:
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22. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the measure of YXV = 139, find the measure of YXZ
Answer:
9(331)-123=1
Step-by-step explanation:
2. In the diagram below WXZ is a right angle. If the measure of WXV is 11 more than there times the measure of WXY and the measure of YXV = 139, find the measure of YXZ
PLZ HELP ME NOW!!!!! I WILL GIVE BRAINLIEST!!!
combine like terms
3a + 7 - 11 - 9a
Answer:
-6a - 3
Step-by-step explanation:
hope this helps
Answer:
11a -18
Step-by-step explanation:
Inverse 9A make it to -9A take it to the other side and inverse +7 to -7 and take it to below -11 so -11 -7 is -18
how to expand 2(x+7)
Answer:
(2x + 2 x 7)
Step-by-step explanation:
An object's speed decreases by 5% for each minute that it is slowing down. Which of the
following is closest to the percent that its speed will decrease over half-an hour?
Answer: 79%
Step-by-step explanation:
min —> 30 mins because half an hour is 30 mins.
(1 - 0.5)^30 = .214638..
1 - .214638 = .78536
round that to the closest percent equals 79%
1) find the missing side of each triangle
A) 5 km
C) 10 km
B) 13 km
D) 12 km
Answer:
c
S1tep-by-step explanation:
8x8=64
6x6=36
64+36=100
10x10=100
x=10
A triangle has side lengths measuring 20 cm, 5 cm, and n cm. Which describes the possible values of n?
5 < n < 15
5 < n < 20
15 < n < 20
15 < n < 25
Answer: 15 < n < 25
Step-by-step explanation: this was the answer on edge
Answer: Option 4 or D. 15 < n < 25
Step-by-step explanation: Trust Me!
If you are working on Edge the answer is correct. The proof is down below. I hope someone finds this helpful.
If you found any of my answers helpful please like and choose my answer as Brainliest. I would appreciate it! Good luck everyone! :)
5,-15,35,55....
What is the common difference
Answer:
The common difference is -20
Step-by-step explanation:
Simply subtract 5 from -15
-15-5 = -20
Find the m∠ULE in the triangle below.
please
Answer:
m∠ULE = 60°
Step-by-step explanation:
To find the measure of ∠ULE we will use the property of exterior angle of a triangle.
Since, measure of an exterior angle of a triangle is equal to the sum of two opposite interior angles.
m∠LUR = m∠LEU + m∠ULE
109° = 49° + m∠ULE
m∠ULE = 109 - 49
= 60°
Therefore, measure of angle ULE is 60°.
In a class election, 30 students voted for Emerald and 15 students voted for Beau. What percent of students voted for Beau?
Answer:
1/3
Step-by-step explanation:
The total amount of students is 45. 1/3 of 45 is 15
Answer:
About 33.3% of students voted for Beau.
Write an equation in point-slope form and slope-intercept form for each line.
the line passes through (1, -1) and (2, 0)
Answer:
Step-by-step explanation:
Answer:
I think its the one w -1= -1
Step-by-step explanation:
becuase 2 minus 1 is -1 nd -1 minus 0 is -1 i could be wrong
Help Asap will mark brainliest! Prove polygon ABCDEF and polygon A′B′C′D′E′F′ are congruent or not congruent.
Answer:
They are congruent im just not sure how to prove it... maybe by showing the transformations that got it to that point?
Step-by-step explanation:
sorry ):
Answer:
They are congruent because they are the same size and shape.
Step-by-step explanation:
Which side lengths form a right triangle?
Choose all answers that apply:
Answer:
C
Step-by-step explanation:
30% × 750 =
(30 ÷ 100) × 750 =
(30 × 750) ÷ 100 =
22,500 ÷ 100 =
225;
Answer:
1.250
2.225
3.225
4.225
Can someone explain factoring expressions to me
Answer:
Factoring: Finding what to multiply together to get an expression. It is like "splitting" an expression into a multiplication of simpler expressions.
Hope it helps. have a wonderful thanksgiving day! :)
Which statement is true? Select all that apply.
The true statements are:
1) The relationship is proportional
2) y = -3x is equation of the line.
3) The slope is negative.
What is a slope?In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction
A graph of the line is given.
If a line passes through two points (x₁ ,y₁) and (x₂, y₂) ,
then the equation of line is
y - y₁ = (y₂- y₁) / (x₂ - x₁) x (x - x₁)
And line passes through the points (4, -12) and (6, -18).
To find the slope;
m = (y₂- y₁) / (x₂ - x₁)
m = -3
The slope is negative.
Then the equation of the line is,
y + 12 = -3(x -4)
y + 12 = -3x + 12
y = -3x
This equation shows the proportional relationship.
Therefore, all the required values are given above.
To learn more about the slope;
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b: 8/5 + 61/2=
Please help me solve
Answer:
32.1
Step-by-step explanation:
For f(x) = -3x + 19. what is the value of x for which f(x) = 4?
X=-5
X = -1
X=5
X=6
Given g(x)=-x-4, solve for x when g(x)=10
Answer:
x= -14
Step-by-step explanation:
Answer:
14
Step-by-step explanation:
g(x)=x-4
g(x)=10 = g(x)=x-4 /+4
g(x)=14
Which has the lowest minimum temperature between -6, 4, -7, -1, 5, -3
Answer:
-7
Step-by-step explanation:
Find f. Write your answer as a whole number or a decimal. DO NOT ROUND
Answer:
f = 8 feet
Step-by-step explanation:
In Δ EBC
∵ DF ⊥ BE
∵ CB ⊥ BE
∴ DF // CB
∵ D is the mid-point of CE
∵ DF // CB
∴ F is the mid-point of EB
∵ DF joining the mid-points of EB and EC
∴ DF = [tex]\frac{1}{2}[/tex] CB
∵ CB = f and DF = 4 ft
∴ 4 = [tex]\frac{1}{2}[/tex] f
→ Multiply both sides by 2
∴ 8 = f
∴ The value of f is 8 ft
please help me find the answer
Answer: x=2
Step-by-step explanation:
What you do is you plug the y equation on top and you substitute it in for the y on the equation below. You have -3x=-2(-5x+8)-10