Answer:
B.
Step-by-step explanation:
Which shows associative property?
3(ab) = (3a)b
(3 + a) + b = 3 + (a + b)
Answer: the answer is the second one
Step-by-step explanation:
9514 1404 393
Answer:
3(ab) = (3a)b . . . associative property of multiplication(3 + a) + b = 3 + (a + b) . . . associative property of additionStep-by-step explanation:
The "associative property" can apply to any number of operations. The ones we're usually concerned with are multiplication and addition.
Basically, the associative property says you can regroup elements that have the same operation being performed on them. Effectively, that regrouping lets you perform the sequence of operations in whatever order you may choose.
For multiplication, the associative property can be written:
(ab)c = a(bc)
This form matches the first of the choices shown:
3(ab) = (3a)b
__
For addition, the associative property can be written:
(a+b)+c = a+(b+c)
This form matches the second of the choices shown:
(3 + a) + b = 3 + (a + b)
__
If you must select one answer, you need to know which associative property you're talking about.
Henry buys a bag of 15 tangerines for $2.85.
Find the unit price in dollars per tangerine.
If necessary, round your answer to the nearest cent.
Please help with this
Answer:
.19 cents per tangerine
Step-by-step explanation:
.19 x 15 = 2.85
solve for x: x²/x-3=x+2/2x-5
Answer:
x=2
Step-by-step explanation:
x2
x
+−3=x+x+−5
Multiply all terms by x and cancel:
x2+−3x=xx+xx+−5x
x2−3x=2x2−5x(Simplify both sides of the equation)
x2−3x−(2x2−5x)=2x2−5x−(2x2−5x)(Subtract 2x^2-5x from both sides)
−x2+2x=0
x(−x+2)=0(Factor left side of equation)
x=0 or −x+2=0(Set factors equal to 0)
x=0 or x=2
Check answers. (Plug them in to make sure they work.)
x=0(Doesn't work in original equation)
x=2(Works in original equation)
Answer:
x=2
Find the equation of a line through (-9, 2) perpendicular to y=3x-12
1 point
y=-1/3x-1
y=3x-1
y=1/3x+4
y=-3x-1
9514 1404 393
Answer:
y = -1/3x -1
Step-by-step explanation:
The perpendicular line will have a slope that is the negative reciprocal of the slope of the given line. The given line's slope is the coefficient of x: 3. So, the perpendicular line's slope will be ...
m = -1/3
Only one answer choice has that value as the coefficient of x:
y = -1/3x -1
nine more than the product of a number and 6 is 5
Answer:
-2/3
Step-by-step explanation:
9+6x=5
6x=-4
x=-2/3
Pwease help me wit this problem, tysmm
Answer:
yeah every time Charlie takes 30 dollars more than previous salary
how many inches of lumber are remaining?
Answer:
I can't really answer this question because there is no picture of actual question but 1 foot = 12 inches so for instance we could do 6 inches + 3 inches = 9 inches.
Step-by-step explanation: How we would solve this problem is simple.
6 + 3 = 9 if you have to turn this into a fraction it would be 9/12 = (3/4).
Express 7.409 in word form.
A bowl of fruit contains seven pieces of fruit, including two bananas and five apples. Three pieces of fruit are chosen. What is the probability that one banana and two apples are chosen?
Answer:
[tex]\frac{4}{7}[/tex]
Step-by-step explanation:
A combination refers to the selection of objects such that order does not matter. A permutation refers to the arrangement of objects such that order do matter.
Number of bananas = 2
Number of apples = 5
One banana and two apples are chosen.
So,
probability that one banana and two apples are chosen = [tex]\frac{C(2,1)\,C(5,2)}{C(7,3)}[/tex]
[tex]C(2,1)=\frac{2!}{1!(2-1)!}=2[/tex]
[tex]C(5,2)=\frac{5!}{2!(5-2)!}=\frac{5!}{2!31} =10[/tex]
[tex]C(7,3)=\frac{7!}{3!(7-3)!} =\frac{7!}{3!4!}=35[/tex]
So,
Probability that one banana and two apples are chosen = [tex]\frac{2(10)}{35}=\frac{4}{7}[/tex]
Answer:
Or 57.14%
Step-by-step explanation:
Determine if the sequence below is arithmetic or geometric and determine the common difference/ratio in simplest form
12,6,3
Answer:
The sequence is geometric
The common ratio is 0.5
Step-by-step explanation:
In the arithmetic sequence, there is a common difference between each two consecutive terms
In the geometric sequence, there is a common ratio between each two consecutive terms
Let us check the given sequence
∵ The first 3 terms are 12, 6, 3
∵ 6 - 12 = -6
∵ 3 - 6 = -3
∵ There is no common difference between the consecutive terms
∴ The sequence is not an arithmetic sequence
∵ 6 ÷ 12 = 0.5
∵ 3 ÷ 6 = 0.5
∴ There is a common ratio between each two consecutive terms
∴ The sequence is a geometric sequence
∴ The common ratio is 0.5
Given sequence is geometric sequence and common ratio between consecutive term is [tex]\frac{1}{2}[/tex] .
In Arithmetic sequence , common difference between consecutive terms should be equal.
In Geometric sequence, common ratio between consecutive terms should be equal.
Given sequence, 12, 6, 3, ...
Since, common difference = [tex]6-12\neq 3-6[/tex] , this is not arithmetic sequence.
Common ratio = [tex]\frac{6}{12}=\frac{3}{6}=\frac{1}{2}[/tex] Because common ratio is are equal. Thus, given sequence is geometric sequence.
Learn more about sequence here :
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Help Mr. North can read 3/4 of a novel and 1/5 of a week. How much of the novel can Mr. North read in one entire week?
Rewrite using i. Show your work.
can someone tell me what my GPA is.
Answer:
probably 5.00
Step-by-step explanation:
Check the statements that are true.
A. An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers.
B. A geometric sequence is a linear function whose domain is restricted to the set of non-negative integers.
C. An arithmetic sequence is an exponential function whose domain is restricted to the set of non-negative integers.
D. A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers.
Answer:
A and D.
Step-by-step explanation:
A sequence is a set of the objects or numbers in a specific order. It is a function whose domain is a set of natural numbers or non-negative integers i.e. {1, 2, 3,..}
(A)
"An arithmetic sequence is a linear function whose domain is restricted to the set of non-negative integers."
The general form an arithmetic sequence is:
[tex]a_{n}=a_{1}+(n-1)d[/tex]
The function is linear. The sequence consists of either numbers that are increasing or decreasing based on the value of d, the common difference.
So, the statement provided is True.
(D)
"A geometric sequence is an exponential function whose domain is restricted to the set of non-negative integers."
The general form an geometric sequence is:
[tex]a_{n}=a_{1}\cdot r^{n-1}[/tex]
The function is exponential. The sequence consists of either numbers that are exponentially increasing or decreasing by the factor r, the common ratio.
So, the statement provided is True.
What is the value of x?
2
5
3
4
9+10....................................................................
Answer:
24234221111111111111111111111
Step-by-step explanation:
Explain how you can prove the difference of two cubes identity. a3 – b3 = (a – b)(a2 + ab + b2)
Answer:
Use the distributive property to multiply the factors on the right side of the equation.
Simplify the product by combining like terms.
Show that the right side of the equation can be written exactly the same as the left side.
Show that the right side of the equation simplifies to a cubed minus b cubed.
Step-by-step explanation:
The difference of two cubes identity a³ - b³ = (a - b)(a² + ab + b²) has been proved using; distributive property of algebra.
We want to prove that;
a³ - b³ = (a - b)(a² + ab + b²)
Now, to solve this we need to understand the distributive property of algebraic functions.This distributive property means distributing an item over others in a bracket. For example; a(b + c) = ab + acApplying this same distributive property to our question gives us;(a - b)(a² + ab + b²) = a(a² + ab + b²) - b(a² + ab + b²)
Multiplying out the brackets gives us;
a³ + a²b + ab² - a²b - ab² - b³
Like terms cancel out to give us;
a³ - b³.
This is same as the left hand side of our initial equation and thus it has been proved.
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Is 17/5 + square root of 64 greater than 8 + pi?
Answer:
I'm probably wrong 69??? Yea I'm definitely wrong
What is 4/15 / -3.4
Answer:
Factor the numerator and denominator and cancel the common facotors which would give you 0.07843137
help please !!!!!!!!!!!!!
Answer:
f(4)= -10
If g(x) =2, then x=0
Step-by-step explanation:
The measures of two supplementary angles are in the ratio 1:3. What is the measure, in degrees, of the larger angle?
Sum of two angles that are supplementary = 180°
Ratios in which they have been given their measurement = 1 : 3
Total number of parts = 1 + 3 = 4
Each part = 180÷4 =
[tex]Each \: part = \: \frac{180}{4} [/tex]
Each part = 45°
Measure of smaller angle = 45 × 1 = 45°
[tex]Measure \: of \ \: the \: smaller \: angle \: = \: 45 \: × \: 1 \: = \: 45°[/tex]
[tex]Measure \: of \: \: the \: larger \: angle \: = \: 3 \: × \: 45 \: = \: 145° \: [/tex]
∴ The measure of the larger angle in degrees = 145° .
Please help will give brainliest answer
Answer:
side C'D' = 2.8 units
Step-by-step explanation:
Recall that a rotation does NOT change the dimensions and angles of the triangle, therefore side C'D' should have the same length as the original side CD (which is 2.8 units)
Therefore side C'D' = 2.8 units
Math To Do, i-Ready X G isabella belongs to a fitness club X + student/dashboard/home sabella belongs to a fitness club. She paid an initial fee of $50 when she joined and also pays $10 per month. Since becoming a member of the fitness club, Isabella has paid a total of $240. Use the drop-down menus to complete the statements about the length of time that Isabella has been a member of the fitness club. Click the arrows to choose an answer from each menu.
The equation Choose can be used to determine the value of the number of months Isabella has been a member of the fitness club. She has been a member of the fitness club for Choose months.
Answer: 19 months
Step-by-step explanation:
given data:
amount paid initially when joining the club = $50.
monthly payments made = $10.
total amount paid since joining the club = $240.
Solution:
= 10X + 50 = 240
collect like terms
= 10X = 240 – 50
10X = 190
divide both sides by 10
10X/10 = 190/10
X = 19
isabella has been a member of the club for 19 months.
A system of equations is shown:
2x = -y + 6
--4x + 3y = 8
What is the solution to this system of equations?
0 (-1,-4)
O (1.4)
(4, 1)
(-4,-1)
[tex]\large\underline{\bf \red{Step \:by\: Step \:Explanation:}}[/tex]
Given two equations are :
2x = - y + 6.-4 x + 3y = 8 .We may write them as ,
2x + y - 6 = 0 .................(i) 4x - 3y + 8 = 0 ...............(ii)Multiplying equⁿ (i) by 2 :
⇒ 2(2x + y - 6 ) = 0.
⇒ 4x + 2y - 12 = 0 .....................(iii) .
Subtract equⁿ (ii) from equⁿ (iii) :-
⇒ 4x + 2y - 12 = 0
ㅤ- 4x + 3y - 8 = 0 [ Sign changes ]
__________________
⇒ 5y - 20 = 0.ㅤㅤㅤㅤㅤ
⇒ 5y = 20.
⇒ y = 20/5.
⇒ y = 4
Put this value in (i) to obtain x .
⇒ 2x + y - 6 = 0.
⇒ 2x +4 - 6 = 0.
⇒ 2x - 2 = 0.
⇒2x = 2 .
⇒ x = 2/2.
⇒ x = 1 .
Hence the value of x is 1 & y is 4.
[tex]\boxed{\purple{\bf\pink{\dag}\:Hence\:the\: correct\: option\:is\:[b]\:(1,4)}}[/tex]
Evaluate and reduce:
-4.9
Enter the number that belongs in the
green box,
Answer:
Step-by-step explanation:
-4/7 * 9
The dot there resembles multiplication sign.
-4/7 * 9/1 (9 = 9/1 because 9 divided by 1 = 9)
=> -(4 * 9) / (9 * 1)
=> -36 / 9
=> -4
If my answer helped, kindly mark me as the brainliest!!
Thanks!!
Drag the operator to the correct location on the image. Which operation results in a trinomial?
Answer:
-
Step-by-step explanation:
I took the test
The correct operator that enters a circle is a subtraction sign.
Given the expressions
[tex](4x^5-8x) ()(3x^2-8x+9)[/tex]
We need to know which sign goes into the bracket that will give a trinomial when simplified.
A trinomial is a function containing 3-terms.
Using the subtraction sign.
[tex](4x^5-8x) - (3x^2-8x+9)[/tex]
Expand
[tex]= 4x^5-8x - 3x^2+8x-9\\= 4x^5-3x^2-8x+8x-9\\=4x^5-3x^2+0-9\\=4x^5-3x^2-9[/tex]
Since the resulting term is a trinomial (3 terms), hence the correct operator that enters a circle is a subtraction sign.
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what segment is equal in length to the segment XZ ? pls help
Answer:
Segment XY or YX (they are the same)
Step-by-step explanation:
The marks in the sides indicate congruency.
2 ( 3x + 1 ) = x - 8
Answer:
x=-2
Step-by-step explanation:
Answer:
-2
Step-by-step explanation:
6x + 2 = x-8
6x - x = -8 -2
5x=-10
x=-2
Christopher wanted to save some money. After 4 weeks, Christopher $50, and after 9 weeks, he saved $100. What was the average amount Christopher saved per week? * A.5 B.50 C.12.5 D.10
Step-by-step explanation:
I think 12.5 is the answer
What are the possible rational zeros of f(x) = x4 + 2x3 - 3x2 - 4x – 12? (1 point)