Answer:
The expressions are not equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(2)-6=-30
Step-by-step explanation:
Two expressions are said to be equal if after a number is substituted to the expression, they produce the same result (that is they have the same value).
To determine whether -3x(5-4)+3(x-6) is equivalent to -12x-6, we have to substitute the same number to the expression and see if it produces the same result.
Substituting 2 to the first expression gives:
-3×2(5-4) + 3(2 - 6) = -6 - 12 = -18
Substituting 2 to the second expression gives:
-12(2) - 6 = -24 - 6 = -30
Since -3×2(5-4) + 3(2 - 6) = -6 - 12 = -18 and -12(2) - 6 = -24 - 6 = -30, the expressions are not equivalent because they do not produce the same result.
The correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18
Expressions and valuesEquations are written by equating two expressions
Given the following equation -3x(5-4)+3(x-6)
Expand
-15x + 12 + 3x - 18
Collect the like terms
-15x + 3x + 12 - 18
-12x - 6
Hence the correct procedure that justifies their equality is the expressions are equivalent because -3(2)(5-4)+3(2-6)=-18 and -12(1)-6=-18
Learn more on equations here: https://brainly.com/question/2972832
#SPJ5
The weight of a honeybee is 1.2\cdot10^{-1}\text{ g}1.2⋅10 −1 g1, point, 2, dot, 10, start superscript, minus, 1, end superscript, start text, space, g, end text. The weight of the pollen collected by the bee on one trip is 6.0 \cdot 10^{-2} \text{ g}6.0⋅10 −2 g6, point, 0, dot, 10, start superscript, minus, 2, end superscript, start text, space, g, end text.
Answer:1.8*10^-1
Step-by-step explanation:
Answer: 1.8 x 10^−1
Step-by-step explanation:
Find the mean of the following data set: (Round to the nearest 10th) 2,3,10,15,20,24,30
Answer:
2+3+10+15+20+2+30=82
82/8=10.25
Step-by-step explanation:+10.25
Answer:
The answer is 14.9
Step-by-step explanation:
First I added 2,3,10,15,20,24,30 then divided it by 7.
x-2>2x+12
solve for x
Answer:
-14 >x
Step-by-step explanation:
x-2>2x+12
Subtract x from each side
x-2-x > 2x+12-x
-2 > x+12
Subtract 12 from each side
-2-12 > x
-14 >x
I’ll mark you brainliest!!!!! Which point is a solution to the inequality represented by this graph?
Answer:
A is a solution because it is in the shaded area.
Step-by-step explanation:
What is the range of the function shown in the graph?
The range of the graph is -∞ ∠ y ∠ 5, which is option a.
What is range in Function?The range of a function is the set of numbers that the function can produce. In other words, it is the set of y-values that you get when you plug all of the possible x-values into the function.
In the given graph
Red line shows the value of y when we put the value of x.
and the line goes down towards negative y upto infinity and on another side at constant value 5 when put x any value.
that means y lies between negative infinity ( -∞ ) and 5
Hence, The range of the graph is -∞ ∠ y ∠ 5.
To learn more about Domain:
https://brainly.com/question/13113489
#SPJ2
HURRRYYYYYYY
A standard number cube with the numbers 1 through 6 is rolled. Find the probability of rolling a number less than 4.
A).1/4
B).1/3
C).1/2
D).2/3
Answer:
(C) ¹/₂
Step-by-step explanation:
Given;
A standard number cube with the numbers 1 through 6 = 1, 2, 3, 4, 5, 6
The probability of rolling a number less than 4 = 3, 2, 1
The probability of rolling 3, P(3) = ¹/₆
The probability of rolling 2, P(2) = ¹/₆
The probability of rolling 1, P(1) = ¹/₆
Probability of rolling a number less than = P(3) or P(2) or P(1)
= ¹/₆ + ¹/₆ + ¹/₆
= ³/₆
= ¹/₂
Therefore, the probability of rolling a number less than 4 is ¹/₂
Option (C) ¹/₂
Can someone help me solved this problem plz! I need help help ASAP! Plz help me with this problem! If you help me I will mark you as brainiest!
Step-by-step explanation:
a 6xy is the answer to question a
Answer:
(1) 6 (2) 2
Step-by-step explanation:
[tex]1)y=\frac{36}{6}\\y=62) \\[/tex]
[tex]y=\frac{36}{18}\\y=2[/tex]
The relationship between two variables a and b is proportional. When a is 3, b is 25.5. Write an equation to represent this relation.
Answer:
y = 8.5x
Step-by-step explanation:
A proportional relation in one in which change of value of y with respect to change of value of x remains proportional. It can be represented by equation
y = kx, where k is constant of proportionality
________________________________________________
Let the relation be
y = kx
but we have a as 3 and b as 25.5
thus
substituting value of and a and b in y = kx , we have
25.5 = k*3
=> k = 25.5/3 = 8.5
Thus, equation which can represent this relation is y = 8.5x
Please help with thisssss
Answer:a
Step-by-step explanation:
Answer:
The answer is A.
Step-by-step explanation:
Pythagorean theorem.
a^2+b^2=c^2.
2^2+3^2=d^2
find the measure of the indicated angle to the nearest degree. Part 1
Answer:
hope this helps you
what is the center of a circle whose equation is x^2+y^2-12x-2y+12=0
Answer:
(6, 1)
Step-by-step explanation:
Answer:
centre = (6, 1 )
Step-by-step explanation:
The equation of a circle in standard form is
(x - h)² + (y - k)² = r²
where (h, k) are the coordinates of the centre and r is the radius
Given
x² + y² - 12x - 2y + 12 = 0
Collect the x and y terms together and subtract 12 from both sides
x² - 12x + y² - 2y = - 12
To obtain the equation in standard form use completing the square
add ( half the coefficient of the x/ y term )² to both sides
x² + 2(- 6)x + 36 + y² + 2(- 1)y + 1 = - 12 + 36 + 1
(x - 6)² + (y - 1)² = 25 ← in standard form
with centre = (6, 1 ) and radius = [tex]\sqrt{25}[/tex] = 5
sendo a função f(x) = 4x³ +8x² - 2 . x + 13, determine o valor de 9.f (3)
Answer:
The value of 9f(3) is 1683.
Step-by-step explanation:
This is a compound function, so let's call it [tex]g[/tex], where it is equal to:
[tex]g = 9*f(3)[/tex]
To solve it, we need to find [tex]f(3)[/tex] and apply it on the expression above, this is done below:
[tex]f(3) = 4*(3)^3 + 8*(3)^2 - 2*3 + 13\\f(3) = 4*27 + 8*9 - 6 + 13\\f(3) = 108 + 72 + 7\\f(3) = 187\\[/tex]
Applying it on [tex]g[/tex] we have:
[tex]g = 9*187 =1683[/tex]
Answer:
1,863
Step-by-step explanation:
First thing to do here is to substitute 3 for the value of x
f(3) =4)3)^3 + 8(3)^2 -2(3) + 13
= 4(27) + 8(9) -6 + 13
= 108 + 72 + 7 = 207
we now multiply this result by 9
= 9 * 207 = 1,863
Find the slope and y-intercept of the line through the pair of points L(-9,6),M(-1,9)
Answer:
The slope is 3/8
The y intercept is 75/8
Step-by-step explanation:
The slope is found by
m= (y2-y1)/(x2-x1)
= (9-6)/(-1- -9)
= (9-6)/(-1+9)
=3/8
The y intercept is found by
y = mx+b where m is the slope and b is the y intercept
y = 3/8 x+b
9 = 3/8(-1) +b
Getting a common denominator
72/8 = -3/8 +b
Add 3/8 to each side
75/8 = b
The y intercept is 75/8
Answer:
3/8, 9 3/8
Step-by-step explanation:
y= mx+b
m=(y2-y1)/(x2-x1)
L (-9, 6) and M(-1, 9)
slope is:
m= (9-6)/(-1+9)= 3/8y- intercept is:
6=3/8*(-9)+bb= 6+27/8= (48+27)/8= 75/8= 9 3/8the cost to rent skis at a local sporting goods store is $15 plus $20 per day. which equation models the relationship between the total cost to rent, c, and the length of the rental in days, d ?
Answer:
c = 20d + 15
Step-by-step explanation:
answer choices may help if the answer is not one of the choices; but here is the answer that it should be:
20 dollars per day is 20 times the length of rental.
15 is a cost that is added and does not change.
c = the total cost therefore:
c = 20d + 15
Rina is 6x+3/8 feet tall and Ryan is 5x+1/8 feet tall. How much taller is Rina than Ryan
Answer:
Rina is 1/4 feet taller than Ryan
Step-by-step explanation:
(height of Rina)-(height of Ryan)
6x+3/8-(5x+1/8)
6x+3/8-5x-1/8
x+3-1/8
x+2/8
x+1/4
Solve the inequality.
2(4+2x)>5x+5
O x5-2
O X2-2
x33
O X23
Step-by-step explanation:
8 + 4x > 5x + 5
8 - 5 > 5x - 4x
3 > x
The solution to the system of equation is x < 3
Inequality expressionGiven the inequality expression 2(4+2x)>5x+5
Expand the inequality
2(4+2x)>5x+5
8 + 4x > 5x + 5
Collect the like terms
4x - 5x > 5 -8
-x > -3
x < 3
Hence the solution to the system of equation is x < 3
Learn more on inequality here: https://brainly.com/question/24372553
How many solutions does the equation - 4x + 6 = 6x - 2 have?
Answer:
There is one solution
Step-by-step explanation:
4x + 6 = 6x - 2
Subtract 4x from each side
4x-4x + 6 = 6x-4x - 2
6 = 2x-2
Add 2
6+2 = 2x
8 = 2x
Divide by 2
8/2 = 2x/2
4=x
Which function is the inverse of f Superscript negative 1 Baseline (x) = negative one-fifth x minus four-fifths? f Superscript negative 1 Baseline (x) = negative one-fifth x + four-fifths
Answer:
The inverse of the function is [tex]g (x)=-5x-4[/tex].
Step-by-step explanation:
The function provided is:
[tex]f^{-1}(x)=-\frac{1}{5}\ x-\frac{4}{5}[/tex]
Let us assume that:
[tex]y=f^{-1}(x)[/tex]
Then the equation will be:
[tex]y=\frac{-x-4}{5}[/tex]
To compute the inverse of the function substitute x as y and y as x.
[tex]x=\frac{-y-4}{5}[/tex]
Now solve for y as follows:
[tex]x=\frac{-y-4}{5}[/tex]
[tex]5x=-y-4[/tex]
[tex]y=-5x-4[/tex]
Thus, the inverse of the function is [tex]g (x)=-5x-4[/tex].
Answer:
The answer is "-5x-4"
Step-by-step explanation:
Given:
[tex]\bold{f^{-1} (x)=(-\frac{1x}{5}-\frac{4}{5})}[/tex]
solve the above equation:
[tex]\to f^{-1}(x)= \frac{-x-4}{5}\\\\\to f^{-1}(x)= -\frac{x+4}{5}\\[/tex]
Let
[tex]y= f^{-1} x= -(\frac{x+4}{5})\\\\[/tex]
inverse the above function:
[tex]\to x= -(\frac{y+4}{5})\\\\\to 5x= -(y+4)\\\\\to 5x= -y-4\\\\\to\boxed {y=-5x-4}\\\\[/tex]
What is the slope? Help me please
Answer: Slope of 2.
Step-by-step explanation:
Start at where the line meets on the y-axis, -7. Then work your way upwards until you see the line align with a value of x, like (1,-5). Then you see a trend of it going up 2 units and over 1. 2/1 or 2 is your slope.
A coordinate plane showing Nina's run. The x-axis shows Time in seconds and the y-axis shows Distance in meters. Four points plotted and labeled. The points are (4, 32), (6, 48), (8, 64), (10, 80). A two column table with four rows. The first column, Time in seconds, has the entries, 4, 6, 8. The second column, Distance in meters, has the entries, 35, 47.5, 60. Nina and Ryan each ran at a constant speed for a 100-meter race. Each runner’s distance for the same section of the race is displayed on the left. Who had a head start, and how big was the head start? had a head start of meters
Answer:
Ryan had a head start of 10 meters
Answer:
Ryan had a head start of 10 meters.
Have a great day!
Step-by-step explanation:
Please mark me brainliest!
Select the correct answer. This graph represents a quadratic function. What is the value of a in this function’s equation? A)-1 B)2 C)1 D)-2
Answer:
Step-by-step explanation:
We will use the work form of a quadratic to determine what a is...in fact we will write the equation for the whole thing in the process, because it's part of solving for a.
y = ±|a|(x - h)² + k
where x and y are from a coordinate point on the graph, h and k are the coordinates of the vertex, the absolute value of a indicates how steep or flat the graph is compared to the parent graph, and the ± is because a positive parabola opens up and a negative one opens upside down.
The vertex is (0, 9) and the coordinate point I chose to use is (3, 0). Filling those in and solving for a:
0 = ±|a|(3 - 0)² + 9 and
0 = ±|a|(3)² + 9 and
-9 = ±|a|9 and
-1 = ±|a| so a = 1. Because this is an upside down parabola the negative is out front, but a is independent of it. The correct choice is C. The quadratic function is
[tex]y=-x^2+9[/tex] or in more detailed form:
[tex]y=-(x-0)^2+9[/tex]
Answer:
-2
Step-by-step explanation:
The function f(x) = x + is used to complete this table.
A 2-column table with 4 rows. The first column is labeled x with entries negative 1, 0, 1, 2. The second column is labeled f of x with entries 1, three-halves, 2, five-halves.
Which statements are true of the given function? Check all that apply.
fStartFraction negative 1 Over 2 EndFraction = –2
f(0) = three-halves
f(1) = –1
f(2) = 1
f(4) = seven-halves
Answer:
b & e
Step-by-step explanation:
The statements that are true of the given function are f(0)=3/2 and f(4)=7/2. This can be obtained by finding the function and checking the values of given in the question.
Check which statements are true :
Given, f(-1/2)= -2
f(0)= 3/2
f(1)= -1
f(2)= 1
f(4)= 7/2
The function is of the form, f(x)= mx +b
where m is the slope of the line and b is the cutting point with the y axis.
For x=0, the value of the function is f(0)=3/2
⇒b=3/2 and m=1/2
∴ The function is f(x) = (1/2)x + 3/2
f(-1/2) = (1/2)(-1/2) + 3/2 =5/4
f(0) = (1/2)(0) + 3/2 = 3/2
f(1) = (1/2)(1) + 3/2 = 2
f(2) = (1/2)(2) + 3/2 = 5/2
f(4) = (1/2)(4) + 3/2 = 7/2
Hence the statements that are true of the given function are f(0)=3/2 and f(4)=7/2.
Learn more about functions here:
brainly.com/question/32813328
#SPJ2
Please help! Correct answer only!
For a fundraiser, there is a raffle with 100 tickets. One ticket will win a $150 prize, and the rest will win nothing. If you have a ticket, what is the expected payoff?
$ ___
Answer:
Expected Payoff ⇒ $ 1.50 ; Type in 1.50
Step-by-step explanation:
Considering that 1 out of the 100 tickets will have a probability of winning a 150 dollar prize, take a proportionality into account;
[tex]100 - Number of Tickets,\\1 - Number of Tickets You Can Enter,\\\\1 / 100 - Probability of Winning,\\$ 150 - Money Won,\\\\Proportionality - 1 / 100 = x / 150, where x - " Expected Payoff "\\\\1 / 100 = x / 150,\\100 * x = 150,\\\\Conclusion ; x = 1.5 dollars[/tex]
Thus, Solution ; Expected Payoff ⇒ $ 1.50
Will Mark Brainliest ! Here is a picture of a cube, and the net of this cube.
What is the surface area of this cube?
Enter your answer in the box.
Answer: [tex]726 cm^{2}[/tex]
Step-by-step explanation:
surface area(SA)= [tex]6s^{2}[/tex]
= [tex]6*(11)^{2}[/tex]
= [tex]6*121[/tex]
= [tex]726 cm^{2}[/tex]
s= the length of the side of the cube
Find the distance between (-3, 3) and (-3, -3).
Answer:
6
Step-by-step explanation:
Since they have the same x - value, just find the distance between the y - values.
6
Simplify problem: ∛-27n^27
Answer:
-3n⁹
Step-by-step explanation:
= [tex]\sqrt[3]{-27n^(27)}[/tex]
= [tex]\sqrt[3]{-27} * \sqrt[3]{n^{27}}[/tex]
= (-3) × n⁹
= -3n⁹
Write each as an algebraic expression
Answer:
4^3
11>6
y>2
13-x
Step-by-step explanation:
4 is to the third power
11 is greater than 6 which means u use this sign >
y is greater than 2
13 subtract x
A group of 10 friends are in line to see a movie. The table shows how much different groups will pay in all. Predict how much the group of 10 will pay.
Answer: Wheres the table
Step-by-step explanation:
Answer:
Step-by-step explanation:
40
Find the area of the triangle. Round your answer to the nearest tenth.
A) 101.3 m^2
B) 58.5 m^2
C) 29.3 m^2
D) 50.7 m^2
Answer:
A
Step-by-step explanation:
Par 3 find the missing sides for the 30 60 90 triangles. Please show work for each.
7
tan(60) = h/40
h = 40 x tan(60)
h = 40√3
cos(60) = 40/r
r = 40/cos(60)
r = 80
8.
tan(60) = p/82
p = 82 x tan(60)
p = 82√3
cos(60) = 82/t
t = 82/cos(60)
t = 164
9.
tan(60) = 22√3 /x
x = 22√3 /tan(60)
x = 22
sin(60) = 22√3 /k
k = 22√3 / sin(60)
k = (20/3)√3