Answer:
A variable represents an unknown, numerical value that can vary, taking on different values.
Step-by-step explanation:
In algebra/math, a variable stands for an unknown quantity that can vary, taking on different values. It is often represented by the letter x, but it can be different kinds of symbols such as a, b, z, etc.
Answer:
A variable is a quantity that may change within the context of a mathematical problem or experiment.
Step-by-step explanation:
PLS mark me as brainliest :)
The gas tank of a certain car contains 13 gal when the driver of the car begins a trip. For each mile driven by the driver, the amount of gas in the tank decreases by 0.025 gal.
a. Write a linear function for the number of gallons of gas in the tank in terms of the number of miles driven.
b. Use your equation to find the number of gallons in the tank after 180 miles are driven.
Answer:
a. write a linear function for the number of gallons of gas in the tank in terms of the number of miles driven.
pls simplify n answer me please guys help
Answer:
i) 4
ii) -216
please give brainliest
Given a function f(x)=2x^2+3, what is the average rate of change of f on the interval [2, 2+h]?
Answer:
4x+2h
Step-by-step explanation:
The average rate of change of a continuous function,
f
(
x
)
, on a closed interval
[
a
,
b
]
is given by
f
(
b
)
−
f
(
a
)
b
−
a
So the average rate of change of the function
f
(
x
)
=
2
x
2
+
1
on
[
x
,
x
+
h
]
is:
A
r
o
c
=
f
(
x
+
h
)
−
f
(
x
)
(
x
+
h
)
−
(
x
)
=
f
(
x
+
h
)
−
f
(
x
)
h
...
.
.
[
1
]
=
2
(
x
+
h
)
2
+
1
−
(
2
x
2
+
1
)
h
=
2
(
x
2
+
2
x
h
+
h
2
)
+
1
−
2
x
2
−
1
h
=
2
x
2
+
4
x
h
+
2
h
2
−
2
x
2
h
=
4
x
h
+
2
h
2
h
=
4
x
+
2
h
Which is the required answer.
Additional Notes:
Note that this question is steered towards deriving the derivative
f
'
(
x
)
from first principles, as the definition of the derivative is:
f
'
(
x
)
=
lim
h
→
0
f
(
x
+
h
)
−
f
(
x
)
h
This is the function we had in [1], so as we take the limit as
h
→
0
we get the derivative
f
'
(
x
)
for any
x
, This:
f
'
(
x
)
=
lim
h
→
0
4
x
+
2
h
=
4
x
Find the measure of the angle indicated by 19x+5.
Answer:
100
Step-by-step explanation:
16x + 19x + 5 = 180 {co-interior angles are supplementary}
Combine like terms;
35x + 5 = 180
Subtract 5 from both sides
35x = 180 - 5
35x = 175
Divide both sides by 35
x = 175/35
x = 5
19x + 5 = 19*5 + 5
= 95 + 5
= 100
Answer:
100⁰
Step-by-step explanation:
co interior angles add up to 180⁰
so l9x+5+16x=180⁰
35x+5⁰=180⁰
35x=180⁰-5⁰
35x=175⁰
Divide both side by the co-efficient of x which is 35
35x/35=175⁰/35⁰
x=5
Now to find the value of 19x+5,we have to substitute any x in it by 5
so 19x+5
19(5)+5
95+5
100⁰
Thanks. I hope it will be helpful to you
Which of the following functions is graphed below?
Answer:
A
Step-by-step explanation:
vertex is (-3,-4)
so inside the absolute value bars need to be postive 3 and the four has to be -4.
Solve for H 39=1/2(h+7)(h)
The fraction 460/7 is closest to which of the following whole numbers? A: 65
B: 66
C: 67
D: 68
Answer:
a
Step-by-step explanation:
What two consecutive numbers multiply to get 650?
25 and 26
25*26=650
Consecutive numbers are numbers that are right next to each other.
Examples:
1 and 2
345 and 346
1000 and 1001
All the best
hope this helps
[tex]GraceRosalia\\******************************************************************************\\BRAINLIEST?[/tex]
Record the product 94 x 12 =
Answer:
1128
Step-by-step explanation:
Math
María, Pepe, Ana y Miguel crean una empresa en sociedad aportando un capital inicial de 4.000,
5.000, 6.000 y 12.000 dólares, respectivamente. Las utilidades netas en el primer año fueron de 30.000
dólares ¿Qué cantidad corresponde a cada uno si hacen un reparto directamente proporcional a los
capitales aportados?
Si hacen un reparto directamente proporcional a los capitales aportados, a María le corresponden $4444,44, a Pepe $5555,55, a Ana $6666,66 y a Miguel $13333,33.
Dado que María, Pepe, Ana y Miguel crean una empresa en sociedad aportando un capital inicial de 4.000, 5.000, 6.000 y 12.000 dólares, respectivamente, y las utilidades netas en el primer año fueron de 30.000 dólares, para determinar qué cantidad corresponde a cada uno si hacen un reparto directamente proporcional a los capitales aportados se debe realizar el siguiente cálculo:
4000 + 5000 + 6000 + 12000 = 27000María = 4000/27000 = 0.1481 x 30000 = 4.444,44Pepe = 5000/27000 = 0.1851 x 30000 = 5.555,55Ana = 6000/27000 = 0.2222 x 30000 = 6.666,66Miguel = 12000/27000 = 0.4444 x 30000 = 13.333,33Por lo tanto, si hacen un reparto directamente proporcional a los capitales aportados, a María le corresponden $4444,44, a Pepe $5555,55, a Ana $6666,66 y a Miguel $13333,33.
Aprende más en https://brainly.com/question/21892145
PLEASE HELP ASAP ITS FOR ALGEBRA
2. The data below are the heights of mothers (x values) and their corresponding
daughters (y values)
X Y
63 59
67 65
64 65
60 61
65 65
67 67
59 61
60 63
58 60
72 71
63 62
a. Calculate the correlation coefficient of the data.
b. Based on the correlation coefficient, is there a correlation between the heights of
daughters and mothers? Explain your answer.
Answer:
45
Step-by-step explanation:
first you divide bring don and subtract
juan is passionate about movies and dreams of going to film school. His goal for the next year is to
Answer:
completa la oracion!!!
etaStep-by-step explanation:
If g(x) + x cos(g(x)) = x3, find g ′(0).
Looks like the equation is
[tex]g(x) + x \cos(g(x)) = x^3[/tex]
Differentiate both sides with respect to x, using the chain rule on the left side:
[tex]g'(x) + \cos(g(x)) - x \sin(g(x)) g'(x) = 3x^2[/tex]
Solve for g'(x) :
[tex]g'(x) (1 - x \sin(g(x))) = 3x^2 - \cos(g(x)) \\\\ g'(x) = \dfrac{3x^2 - \cos(g(x))}{1 - x \sin(g(x))}[/tex]
When x = 0, we have
[tex]g'(0) = \dfrac{0-\cos(g(0))}{1-0\sin(g(0))} = \boxed{-\cos(g(0))}[/tex]
(This is all you can say without providing the value of g (0).)
What percent of workers have output more than 70 units?
Answer:
30 Percent
Step-by-step explanation:
Answer:
The Answer will be 25%.
3. A rectangular garden has an area of 40m² and a perimeter of 26m. The length of the
garden is a cm and its width is b cm.
(a) Form two equations involving a and b.
(b) Solve these equations simultaneously in order to find the length and width
of the garden
Answer:
a) a +b= 13, ab= 40
b) length= 8m, width= 5m
Step-by-step explanation:
Perimeter of rectangle= 2(length +width)
Area of rectangle= length ×width
a) Perimeter= 26m
2(a +b)= 26
Divide both sides by 2:
a +b= 26 ÷2
a +b= 13 ----- (1)
Area= 40m²
ab= 40 ----- (2)
b) From (1): a= 13 -b ----- (3)
Substitute (3) into (2):
(13 -b)(b)= 40
Expand:
13b -b²= 40
b² -13b +40= 0
Factorise:
(b -5)(b -8)= 0
b -5= 0 or b -8= 0
b= 5 or b= 8
Substitute into (3):
a= 13 -5 or a= 13 -8
a= 8 or a= 5
Since the length is usually the longer side of the rectangle, the length and the width of the rectangular garden is 8m and 5m respectively.
Answer:
Step-by-step explanation:
Perimeter = 2length + 2 width
2a + 2b = 26 m
Divide the equation by 2
[tex]\dfrac{2a}{2}+\dfrac{2b}{2}=\dfrac{26}{2}\\\\[/tex]
a + b = 13 --------------(I)
a = 13 -b
Area = length *width
a*b = 40 sq.m
ab = 40 ----------------(II)
Plugin a = 13 -b in the equation (II)
(13 - b)*b = 40
13*b - b*b = 40
13b - b² = 40
0 = 40 + b² - 13b
b² - 13b + 40 = 0
Sum = - 13
Product = 40
Factors = (-8) , (-5) {-8 + (-5) = -13 & (-5)*(-8) = 40}
b² - 8b - 5b + (-8)*(-5) = 40
b(b - 8) - 5(b - 8)= 0
( b - 8) (b - 5) = 0
b - 8 =0 ; b -5 =0
b= 8 ; b = 5
Length = 8 cm
Width = 5cm
solve pls brainliest
Answer:
simply 8c = 128
HELP PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!1
Answer: 89y
89y
Step-by-step explanation: 89y
89y
ANY1 GOOD AT ALEGEBRA HELP WITH THIS QUESTION
Answer: [tex]f= \frac{ C -4h -5p }{7}[/tex]
Isolate f
Subtract 5p from both sides
Subtract 4h from both sides
Divide both sides by 7
could use some help.
Answer:
I'm pretty sure it is B
Step-by-step explanation:
PLEASE HELP!!!!!
will mark brainliest!!
22
Step-by-step explanation:
fx is the addition of all the digits which are present in the column of the table called fx
Someone please hurry and answer number one will give brainlyst
Answer:
put them in desmos and graph them
Greenpoint is 12 miles due north of the airport, and Arlington is due east of the airport. If the distance between Greenpoint and Arlington is 13 miles, how far is Arlington from the airport?
Simplify: (4 – 5) – (13 – 18 + 2).
Answer:
(4 – 5) – (13 – 18 + 2)
= -1-(13+2-18)
= -1-(15-18)
= -1-(-3)
= -1+3
= 2Answer:
(4-5)-(13-18+2)
(-1)-(-3)
-1+3
2
hope this helps u
Which of the following has the same value as -10 + (-3)?
a)-10-3
b) -10 - (-3)
c) -3 + 10
d) -3 - (-10)
Step-by-step explanation:
option A has the same value to that equation.
hope this helps you.
Answer:
a)-10-3
Step-by-step explanation:
-10+(-3)
=-13
-10-3
=-13
Three teams, A, B and C, play in a competition.
games won by A: games won by B = 4:3
games won by B: games won by C = 5:2
Team B has won 30 games.
In total, how many games have the three teams won?
ANSWER:
43
Explanation:
A : B : C
4 : 3
5 : 2
A × B → 4 × 5 = 20
B × B → 3 × 5 = 15
B × C → 3 × 2 = 6
A : B : C
20 : 15 : 6
B = 15 = 30
what of teams A and C together?
If 15 = 30games, what about 26games?
Cross multiply.
15 × 26 =13
30
So, games won by Team B + games won by Teams A and C
30games + 13games
=43games.
Answer:
82
Step-by-step explanation:
.Solve the following equations, leaving your answer as a fraction where appropriate: 10(2x + 12) = -7(x + 12)
find (x+55)°
find (3x-5)°
find x
Answer:
x = 30
Step-by-step explanation:
The two angles are congruent so they have the same value
3x-5 = x+55
Subtract x from each side
3x-5 -x = x+55-x
2x-5 = 55
Add 5 to each side
2x-5+5 = 55+5
2x= 60
Divide each side by 2
2x/2 = 60/2
x = 30
You would get
x=40
Your answer
Mrs. Lopez boked 120 cookies. She placed 1 1/4 dozen cookies in small boxes. How many boxes did she use
28-30. solve the problem above in any way you would ake it to solve. show it in illustration, graphical presentation, or any method you wish to use to anive for the answer.
❤️ PLEASE HELP ME❤️
Answer:
96
Step-by-step explanation:
120/1.25=96
WILL MARK BRAINLIEST IF CORRECT❤️❤️
Simplify the expression -5+i/2i
Step by step
Answer:
For complex numbers,
a + bi and a - bi
they have the interesting property that if you add them you get the real number 2a
and if you multiply them , because of the difference of square pattern, you get a^2 - b^2 i^2
But since i^2 = -1, we end up with a real number as a product.
e.g. 6 - 5i and 6 + 5i are conjugates of each other
sum = 6-5i + 6+5i = 12
product = 36 - 25i^2
= 36 -(-25) = 61
Your question is even easier, since the denominator is a monomial instead of a binomial, so we just have to multiply by i/i
Also I believe, according to the answer, that you have a typo, and you meant
(-5+i)/(2i)
= (-5+i)/(2i) *i/i
= (-5i + i^2)/2i^2)
= (-5i +i^2)/-2
= (-5i - 1)/-2
= (1 + 5i)/2 or they way they have it: 1/2 + 5i/2
REAL ANSWERS PLS NEED HELP
vertex: (-2,-4)
axis of symmetry: x = -2
hope this helps :)