Determine if the following expressions are equivalent. If so, by what property are they equivalent.
3(x-2) and 3x - 6
A. yes, by associative property
B. yes, by commutative property
C. yes, by distributive property
D. no, the expressions aren't equivalent.
Answer:
C. Yes, by distributive property
Step-by-step explanation:
Distributive property states that 3 can be distributed to all of the terms inside of the parentheses, namely x and -2. 3x + 3(-2) = 3x-6
How many 1/ 4-inch cubes does it take to fill a box with width 2 1/ 4 inches, length 2 1/ 2 inches, and height 1 3/ 4 inches?
Answer:
630.
Step-by-step explanation:
Given the following data;
Dimensions for cube = ¼ inches
[tex] Volume \; of \; cube = \frac {1}{4} * \frac {1}{4} * \frac {1}{4} [/tex]
Volume = 1/64 cubic inches.
For rectangular box;
Length = 2½ = 5/2 inches.
Width = 2¼ = 9/4 inches.
Height = 1¾ = 7/4 inches.
[tex] Volume \; of \; cube = \frac {5}{2} * \frac {9}{4} * \frac {7}{4} [/tex]
Volume = 315/32 inches
Therefore, to find the amount of cubes;
[tex] Number \; of \; cubes = \frac {Volume \; of \; box}{Volume \; of \; cube} [/tex]
Substituting into the equation, we have;
[tex] Number \; of \; cubes = \frac {\frac {315}{32}} {\frac {1}{64}} [/tex]
[tex] Number \; of \; cubes = \frac {315}{32} * 64 [/tex]
[tex] Number \; of \; cubes = 315 * 2 [/tex]
Number of cubes = 630
Maria can paint an area of 100 square feet in one-third of an hour. At this rate, how
many square feet can she paint in one minute?
Answer:
A. 5 square feet per minute
Step-by-step explanation:
Answer:
The answer is 5 square feet per minute.
Step-by-step explanation:
Since 1/3 of an hour is 20 minutes, it will look like 100 square feet/20 min.
To make 20 minutes into one minute, we have to divide it by 20.
Because we did it to the denominator, we also have to do the same thing to the numerator.
Divided 100 by 20, which gives you 5.
Hope this helps!!
what is a fraction
what is a half
what is 0.5
Answer:
1.what is fraction?
A.a numerical quantity that is not a whole number (e.g. 1/2, 0.5).
2.what is a half?
A.either of two equal or corresponding parts into which something is or can be divided.
"two and a half years"
3.what is 0.5?
A. 0.5=½
Put simply, a fraction is a numerical quantity that is not a whole number.
For example: 1/4 is literally interpreted as 1 divided by 4, or 1 ÷ 4.
A half is just a number that is equal 0.5 which is equal to 1/2
Sub to oTechz :)
A multiple choice quiz has two questions , each with five answer choices. Only one choice is correct. Find the probability of answering two questions correctly,
. Show work
Answer:
1/25 to get both correct
Step-by-step explanation:
So the probability of getting one choice correct is 1/5
Since 5 choices 1 is correct
now we have to get 2 in a row correct so
1/5*1/5=1/25
Find the equation of the exponential function represented by the table
below:
2
y
0
1
1
2
2
4
3
8.
9514 1404 393
Answer:
y = 2^x
Step-by-step explanation:
The x-values are sequential integers, which helps the discovery of the function. The y-values have a common ratio of 2 = 2/1 = 4/2 = 8/4. This is the base for the exponential function.
The initial value of y=1 at x=0 tells you the multiplier of the exponential factor is 1, and the exponent is x (with no additions or subtractions). Your function is ...
y = 2^x
y = 3x + 5
y = 4x2 + x
Answer:
8x and 4x(2) + 5
Step-by-step explanation:
It doesn't make sense but I am pretty sure this is correct
Please help me i struggle lots on this topic
Answer:
slope = 0
Step-by-step explanation:
remember slope is just rise (change in y) over run (change in x) and since there's no change it has a zero slope, which applies to any horizontal line parallel to the x axis
(this is just me trying to explain slopes, separate from the question you put) if the right most point was 1 higher (5,7) instead of (5,6) then the slope would be 1/2 because to get from (5,7) to (3,6) you move up 1 and over 2
Can someone plz help me. There is an equation and the cost too.
Answer:
C = 40p
Cost for 15 people: 600 dollars
Step-by-step explanation:
The amusement park charges $40 per person.
That can be represented as 40 × P or 40P.
C is equal to the cost of admission for P people.
So, C = 40P
C = 40P
C = 40(15)
C = 600
The cost of admission for 15 people is 600 dollars.
Hope that helps.
What is the image point of (-7,7) after a translation right 1 unit and down 3 units?
Answer:
(-6,4)
Step-by-step explanation:
-7-(-1)=-6
7-3=4
At which root does the graph of f(x) = (x - 5)3(x + 2)2 touch the x-axis?
-5
-2
2
О
5
Answer: It should be -2 and 5
Step-by-step explanation:
Find the compound interest of $9080 for
[tex]2 \frac{1}{2} [/tex]
years at 5% per annum
Answer:
I have made it in above picture
I need help and for the other select it’s are or are not
Answer:
Step-by-step explanation:
It's clear from the graph that the angles of the given triangles are different.
And for similarity of two triangles, at least two angles of the triangles should be congruent.
Therefore, both the triangles are not similar.
The angles are DIFFERENT.Since similarity transformations preserve angle measures, ΔUVW and ΔGHI ARE NOT similar.
f(x)=3x-5 please help :>
Answer:
x= 5/3?????
Step-by-step explanation:
try using math
way
(x+y)^4 I am trying to simplify this problem and am kinda confused by it
Answer:
This is already as simple as it will get. You could expand it though. In that case you'd get:
(x + y)⁴
= (x² + 2xy + y²)²
= x⁴ + 2x³y + x²y² + 2x³y + 4x²y² + 2xy³ + x²y² + 2xy³ + y⁴
= x⁴ + 4x³y + 6x²y² +4xy³ + y⁴
But this doesn't simplify at all.
Domain and Range for the function f(x)=5IXI is
Answer:
The domain of the function f(x) is:
[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
The range of the function f(x) is:
[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=5\left|x\right|[/tex]
Determining the domain:
We know that the domain of the function is the set of input or arguments for which the function is real and defined.
In other words,
Domain refers to all the possible sets of input values on the x-axis.It is clear that the function has undefined points nor domain constraints.
Thus, the domain of the function f(x) is:
[tex]\mathrm{Domain\:of\:}\:5\left|x\right|\::\quad \begin{bmatrix}\mathrm{Solution:}\:&\:-\infty \:<x<\infty \\ \:\mathrm{Interval\:Notation:}&\:\left(-\infty \:,\:\infty \:\right)\end{bmatrix}[/tex]
Determining the range:
We also know that range is the set of values of the dependent variable for which a function is defined.
In other words,
Range refers to all the possible sets of output values on the y-axis.We know that the range of an Absolute function is of the form
[tex]c|ax+b|+k\:\mathrm{is}\:\:f\left(x\right)\ge \:k[/tex]
[tex]k=0[/tex]
so
Thus, the range of the function f(x) is:
[tex]\mathrm{Range\:of\:}5\left|x\right|:\quad \begin{bmatrix}\mathrm{Solution:}\:&\:f\left(x\right)\ge \:0\:\\ \:\mathrm{Interval\:Notation:}&\:[0,\:\infty \:)\end{bmatrix}[/tex]
MARKING BRAINLIST!!! In a couplet one statement is _____ and one is ______
A. Agreeing and rejecting
B. Deciding and Acting
C. Informing and Agreeing
A function h(x) is defined by the equation h(x) = sqrt x-2 + 3. Which is the graph of h(x)?
[tex]h(x) = \sqrt{x - 2} + 3[/tex]
TransformationA constant inside the square root will make the graph shift either left to right, depending on the number. From the equation. The graph shifts to right two units.
A constant outside the square root will make the graph shift up or down, depending the value. From the equation, the graph shifts up 3 units.
AnswerSecond Image, the first one where x = 2 and y = 3.Answer:
Step-by-step explanation:
second graph
Which expression is a factor of both x^2-9 and x^2+8x+15
Step-by-step explanation:
x^2-9=0x^2+8x+15=0(x+5)(x+3)=0
x+5=0 or x+3=0
x=-5or x=-3
x=-5 in x^2-9=0(-5)^2-9=0
10-9=0
1=0
x=-3 in x^2-9=0(-3)^2-9=0
9-9=0
0=0
Analyze the drawing.The beam in the mobile is balanced.The cups on the right and left are equal,which means the the items can be removed and mobile still balances.This leaves 4 circles on the left,a cup and 1 circle on the right.Now the circle on the right cancels out the circle on the left,leaving three circles on the right.The logical conclusion is that the cup is equal to 3 circles
Answer:
See the attached
Step-by-step explanation:
Solution is given on the picture
HELP PLS!! I need help for question 10, answers a, b, and c! (Everything is in the picture)
Answer:
A. The line on the left
B.not sure
C. 20 dollars
Step-by-step explanation:
Ms. Lim asked her class to find an expression equivalent to 7 - 3 (4 - 2x) - 10x .
whats wrong with these problems? please include your work.
Answer:
Solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]
Step-by-step explanation:
Jon solved:
7-3(4-2x)-10x
4(4-2x)-10x
16-8x-10x
16-18x
Error in John Work
The error in John work is that he subtracted 7-3 first, which is wrong. According to the rule, first brackets are solved, then multiplication or division and then addition or subtraction is performed.
Madison Solved:
7-3(4-2x)-10x
7-3(2x)-10x
7-6x-10x
7-16x
Error in Madison Work
The error in Madison work is that she subtracted (4-2x) and get 2x which is wrong. Only like terms are added or subtracted. 4 and -2x are not like terms so, we can't subtract them
Selina Solved:
7-3(4-2x)-10x
7-12-2x-10x
-7-12x
Error in Selina Work
The error in Selina work is that she wrongly multiplied -3 with -2x
-3(-2x) we get 6x but Selina found it to be -2x which is wrong.
My solution:
Now, we will solve the equation correctly
[tex]7-3(4-2x)-10x[/tex]
First, multiply -3 with terms inside the bracket
[tex]7-12+6x-10x[/tex]
Now, combine like terms
[tex]7-12+6x-10x\\-5-4x[/tex]
or we can write -4x-5
So, solving [tex]7-3(4-2x)-10x[/tex] we get [tex]-4x-5[/tex]
A candy company puts 4 gumdrops each bag. how many gumdrops will the company need to fill 3,873?
Answer:
15,492 gumdrops
Step-by-step explanation:
If the company needs 3,873 bags of candy and each bag has 4 pieces of candy it them, then multiply the amount of bags they need and the amount in each bag and you will get how many they need in total.
Need help asap please
Answer:
Multiply four on both sides
Step-by-step explanation:
;)
PLEASE HELP THE ANSWER HAS TO BE A INTEGER OR A DECIMAL.
Answer:
It's the same as the last one. The answer is -2.3
Step-by-step explanation:
What is the value of 3-(-2)?
———+
-5 -4 -3 -2 -1 0 1 2 3 4 5
0 -5
—1
О -1
оооо
Answer:
5
Step-by-step explanation:
Remember that you are adding an already known negative number since there are two negative signs next to them. Your answer should be 5.
Answer:
5
Step-by-step explanation:
3-(-2)
-1 × -2
= 2
= 3+2
=5
2 1
3 4
- 그
Is this addition or division
anyone wanna have a conversation
Answer:
sure
Step-by-step explanation:
Answer:
hii
Step-by-step explanation:
Help what’s the answer?
Answer:
what are you ment to do...............
Solve by elimination.
2x + 8y = 60
5x + 4y = –10
Answer:
2x + 8y = 60= 30
5x + 4y = –10= -2
Step-by-step explanation:
Simplifying
2x + -8y = 60
Solving
2x + -8y = 60
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '8y' to each side of the equation.
2x + -8y + 8y = 60 + 8y
Combine like terms: -8y + 8y = 0
2x + 0 = 60 + 8y
2x = 60 + 8y
Divide each side by '2'.
x = 30 + 4y
Simplifying
x = 30 + 4y