Functions can be represented using equations, graphs and tables.
The function is given as:
[tex]a(l) = \frac 12 l^2[/tex]
When l = 1, we have:
[tex]a(1) = \frac 12 \times 1^2[/tex]
[tex]a(1) = 0.5[/tex]
When l = 2, we have:
[tex]a(2) = \frac 12 \times 2^2[/tex]
[tex]a(2) = 2.0[/tex]
When l = 3, we have:
[tex]a(3) = \frac 12 \times 3^2[/tex]
[tex]a(3) = 4.5[/tex]
When l = 4, we have:
[tex]a(4) = \frac 12 \times 4^2[/tex]
[tex]a(4) = 8.0[/tex]
Represent the above results as a table, we have:
l a(l)
1 0.5
2 2.0
3 4.5
4 8.0
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Find a formula for the Nth term of sequence:
3,5,9,17
Answer:
an = 1 +2^n
Step-by-step explanation:
The given terms do not have a common ratio or a common difference. The differences of the given terms are ...
5 -3 = 2
9 -5 = 4
17 -9 = 8
These differences have a common ratio of 2, indicating an exponential sequence with a base of 2.
The terms 2^n are 2, 4, 8, 16. We notice that the given terms are 1 more than these values. The sequence is ...
an = 1 +2^n
Answer:
Try!
Step-by-step explanation:
(-a + (-b)) + (-c) = -(a + b) + (-c)
A:associative
B:commutative
C:distributive
D:opposite of a sum
Answer: c
Step-by-step explanation:
A Taxi Service charges $1.00 for the first 1/10 mile then $0.10 for each additional 1/10 mile after that.
Fill in the table with the missing information then determine if this relationship between distance traveled and price of the trip is a proportional relationship.
distance traveled (mi) price(dollars)
9/10
2
3 1/10
10
Thnanks!
9 / 10 = Total Price: 1.90
2 = Total Price: 3.00
3 1 / 10 = Total Price: 4.10
10 = Total Price: 11.00
n/24-40=37 solve for n
Answer:1848
Step-by-step explanation:
good luck with the test or whatever you are doing
I need help with this
Answer:
some points that I found!
(0,-2), (-3,0), (-6, 2), keep it going from there, and then shade above the line
solve pls brainliest
Answer:
yes
Step-by-step explanation: brainly
How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!
Answer:
Sir your answer is 15
Step-by-step explanation:
Hope this helps luis
1. Convert 36 inches into feet. A. 3.5 ft B. B. 3 ft C. 2.5 ft D. 2 ft
Answer #3 & #4 with proof please ! I'll give you brainliest :)
Answer:
see explanation
Step-by-step explanation:
The perimeter is the sum of the 3 sides , then
2x - 6 + x + 4 + 10 > 50
3x + 8 > 50 ( subtract 8 from both sides )
3x > 42 ( divide both sides by 3 )
x > 14
(4)
The area is calculated by multiplying length and breadth , then
3(4x - 2) < 138 ( divide both sides by 3 )
4x - 2 < 46 ( add 2 to both sides )
4x < 48 ( divide both sides by 4 )
x < 12
A sticker costs 25 cents. How many dollars is that?
Answer:
Boy.... Its one forth a dollar.
Step-by-step explanation:
1/4
Choose the inequality that could be used to solve the following problem.
Three times a number is at most negative six.
(A) 3x ≤ -6
(B) 3x < -6
(C) 3x ≥ -6
(D) 3x > -6
Answer:
I believe the answer is A
Step-by-step explanation:
three times x can be equal to, but never greater than -6
Answer:
A. 3x ≤ -6
Step-by-step explanation:
the sentence ‘3x is at most -6
means that the most 3x is allowed to be is -6
it can be -6 or any number less than -6
So, the phrase 3x is at most -6
’ means ‘
3x ≤ -6
Could somebody please help with this?
the x-intercept is the point where the line touches the x-axis. The x-intercept is (4,0)
the y-intercept is the point where the line touches the y-axis. The y-intercept is (0,-2)
PLEASE HELP ITS 10TH GRADE GEOMETRY
Hope you could get an idea from here.
Doubt clarification - use comment section.
Joe has eaten 3/5 of a pizza. Jane has eaten 1/9 of a pizza . How many times more pizza has joe earthen then Jane
Answer:
5/10 more
Step-by-step explanation:
[tex]\sf 6x+4y-2x[/tex]
Answer:
4(x + y)
Step-by-step explanation:
6x + 4y - 2x
6x - 2x + 4y
4x + 4y
Taking 4 as common
4(x + y)
The volume of a rectangular prism is 2x^3 - 6x^2 + 8x , and the volume of a cube is 27x^3. What is the total volume of the prism and the cube?
Answer:
[tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Terms/Coefficients
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle V_P = 2x^3 - 6x^2 + 8x[/tex]
[tex]\displaystyle V_C = 27x^3[/tex]
Step 2: Find Combined Volume
[Set up] Add: [tex]\displaystyle V_P + V_C = V_{P + C}[/tex]Substitute in variables: [tex]\displaystyle V_{P + C} = 27x^3 + 2x^3 - 6x^2 + 8x[/tex]Combine like terms: [tex]\displaystyle V_{P + C} = 29x^3 - 6x^2 + 8x[/tex]Factorise 9a³ - 27a² - 100a + 300, if it is given that (3a + 10) is a factor of it.
Answer:
(3a + 10)(3a - 10(a - 3).
Step-by-step explanation:
Do a long division:
3a + 10 ) 9a^3 - 27a^2 - 100a + 300 ( 3a^2 - 19a + 30 <----- Quotient
9a^3 + 30a^2
-57a^2 - 100a
-57a^2 - 190a
90a + 300
90a + 300
..................
Factorise the Quotient:
3a^2 - 19a + 30
= 3a^2 - 9a - 10a + 30
= 3a(a - 3) - 10(a - 3)
= (3a - 10)(a - 3)
Solve for x in the equation X2 - 12%+ 36 = 90.
X
X = 6+3/10
Ox=6+2/7
<
= 12+ 3922
X= 12+3/10
X=
Answer:
x = 6 ± 3√
Step-by-step explanation:
Step-by-step explanation:Since this is an unfactorable expression, apply the Quadratic Formula, -b ± √b² - 4ac\2a,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
x² - 12x + 36 = 90
Subtracting 90 from both sides.
x² - 12x - 54 = 0
To solve for x, we can use the quadratic formula.
x = (-b ± √(b² - 4ac)) / 2a
where a, b, and c are the coefficients of the quadratic equation
ax² + bx + c = 0.
In this case, a = 1, b = -12, and c = -54.
Substituting these values into the formula.
x = (-(-12) ± √((-12)² - 4(1)(-54))) / 2(1)
x = (12 ± √(144 + 216)) / 2
x = (12 ± √(360)) / 2
x = 6 ± 3 √(10)
Therefore,
The solutions to the equation are:
x = 6 + 3 √(10) or x = 6 - 3 √(10)
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I will give brainliest!
Arwen created a copy of a certain line segment. What do you know is true about these two line segments?
1. The measure of the original line segment will be twice the measure of the copy.
2. The measure of the original line segment will be half the measure of the copy.
3. The endpoints will have the same letters.
4. They are congruent.
A copy of a line segment will have the same measure or length as the segment.
The true statement is (4) They are congruent.
From the question, we understand that a copy of the line segment is created.
This means that the new segment has the exact property as the original line segment.
Hence, both lines are congruent, and the true statement is (d)
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A board isThree boards are placed end to end to make a walkway. The first board is 2 feet 8 inches long, the second board is 6 feet 10 inches long, and the third board is 4 feet 9 inches long. How long is the walkway?
93 inches long. How long is it in feet and inches?
Answer:
wowo
Step-by-step explanation:
Can someone please help me on this?
Correct Answer = 15 pts and Brainliest
Step-by-step explanation:
you can clarify on that please
Answer:
[tex]5xy^4[/tex]
Step-by-step explanation:
[tex]\frac{15x^3y^5}{3x^2y}[/tex]
= [tex]\frac{3\cdot \:5x^3y^5}{3x^2y}[/tex]
= [tex]\frac{5xy^5}{y}[/tex]
= [tex]5xy^4[/tex]
PLS HELP!!! WILL MARK BRAINLIEST!!
Answer:
All real numbers
Step-by-step explanation:
It can go on to infinity.
Hope that helps
First person to answer will get brainliest and it has to be in 4 or less minutes
write the point-slope form of the equation of the line through the given points through (0,-1) and (3,-3)
[tex]\text{Given that,}\\\\(x_1,y_1) = (0,-1) ~ \text{and}~ (x_2, y_2) = (3,-3)\\\\\text{Slope, m}= \dfrac{y_2 -y_1}{x_2 -x_1} = \dfrac{-3+1}{3-0} = -\dfrac 23\\\\\\\text{Point slope - form}\\\\y-y_1 = m(x-x_1)\\\\\implies y - (-1) = -\dfrac 23 (x -0)\\\\\implies y +1 = -\dfrac 23 x[/tex]
An item is regularly priced at $97. It is now priced at a discount of 40% off the regular price.
Answer:
38.8
Step-by-step explanation: 40% of a discount from the regular price of 97 dollars is 38.8
A shop has a sale that offers 40% off all prices. On the final day, they reduce all sale prices by 30%. Alex buys a hairdryer on the final day.
Work out the overall percentage reduction on the price of the hairdryer.
Answer:
82%
Step-by-step explanation:
They are doing 0.6x with the first sale, then 70% of 0.6x for the second. So, the first sale would be 0.6x, and the second sale would be 0.42x. You subtract them to get 0.18x. So, 0.18x/x=18%. You would pay 18%, and the shop reduced 82%
Given the function f described by fly)=9y2 + 7y-6, find the function values.
f(-5) = 0
(Simplify your answer. Type an integer or a fraction.)
Answer:
f(- 5) = 184
Step-by-step explanation:
Substitute y = - 5 into f(y) , that is
f(- 5) = 9(- 5)² + 7(- 5) - 6
= 9(25) - 35 - 6
= 225 - 41
= 184
Hey y’all please help me ASAP.
Answer:
the top right box
Step-by-step explanation:
Answer:
-g-8≥9
Step-by-step explanation:
Just ask.
Hope this helps. :)
I need help. what is the slope?
(The bottom one says : (-1, -6)
Find the simple interest on Rs. 4500 for 6 months at
the rate of 5 paise per rupee per month.
helping help
