Write an explicit formula for the recursive formula
A(n) = A(n - 1) + 3; A(1) = 6
Answer:
[tex]a_{n}[/tex] = 3n + 3
Step-by-step explanation:
The sequence is arithmetic with explicit formula
[tex]a_{n}[/tex] = a₁ + (n - 1)d
where a₁ is the first term and d the common difference
From the recursive formula
a₁ = 6 and d = 3 [ the constant being added to A(n - 1) ] , then
[tex]a_{n}[/tex] = 6 + 3(n - 1) = 6 + 3n - 3 = 3n + 3
y is directly proportional to ( x - 4 ) . When x = 16, y = 3. Find y in terms of x.
Need help i attached images below i will give brainly to who ever answers first
Answer:
1. 23
2. 32
3. 9
4. -2
Step-by-step explanation:
Answer:
Step-by-step explanation:
-14x + 21y - 4.9 = 7*(-2x) + 7*3y + 7*(-0.7)
= 7*( -2x +3y - 0.7)
-2x + 3(-5x + 1) = -2x - 15x + 3
= -17x + 3
-3x + 5(-8x - 1) = -3x - 40x - 5
= -43x - 5
-4x + 5(-5x - 1) = -4x - 25x - 5
= -29x - 5
What is the slope of this graph?
Answer:
-3
Step-by-step explanation:
1. To find the slope of this line, we can use the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] since we're given the two points from the line.
2. (Solving)
[tex]\frac{0-6}{3-1}[/tex] [tex]\frac{-6}{2}[/tex] [tex]-3[/tex]Therefore, the slope is -3.
how to work out 12.5% of a number
Step-by-step explanation:
12.5÷100 × 5
=0.125×5
=0.625
i need help...Which table represents a function?
A 2-column table with 4 rows. The first column is labeled x with entries negative 3, 0, negative 2, 8. The second column is labeled y with entries negative 1, 0, negative 1, 1.
A 2-column table with 4 rows. The first column is labeled x with entries negative 5, 0, negative 5, 6. The second column is labeled y with entries negative 5, 0, 5, negative 6.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, negative 2, negative 2, 0. The second column is labeled y with entries 8, 2, 4, 2.
A 2-column table with 4 rows. The first column is labeled x with entries negative 4, 3, 1, negative 4. The second column is labeled y with entries 2, 5, 3, 0.
Explanation:
A function has each x value map to exactly one y value. Choice A demonstrates this, which is why it's a function. Note how none of the x values are repeated in this table.
Choices B, C and D have repeated x values, which in turn means that we have an x input lead to multiple y outputs. For instance, choice B says that the input x = -5 has the two outputs y = -5 and y = 5; this is sufficient to show that table B is not a function. Choices C and D are a similar story.
simplify (x^5-y^5) ÷(x-y) (this question is a part of polynomials chapter) please explain and tell me the answer
Answer:
Step-by-step explanation:
[tex]x^{n}-y^{n} =(x -y)(x^{n-1} + x^{n-2}*y^{1} +......+ xy^{n-2} + y^{n-1}\\\\\dfrac{x^{5}-y^{5}}{x-y}=\dfrac{(x -y)*(x^{4}+x^{3}*y^{1}+x^{2}*y^{2}+x*y^{3}+y^{4}}{(x-y)}\\\\[/tex]
= x⁴ + x³y + x²y² + xy³ + y⁴
Tony has 2/3 gallon of milk.
He wants to equally share the milk between 3 milkshakes.
Which expression represents the amount of milk that will be in each milkshake?
Answer: 2/9 gallon per shake
Step-by-step explanation:
(2/3)/3
2/9 gallon per shake
(2/9)*(3) = 6/9 or 2/3
−7a − 12q + 6a + 13q + 4a − 7a
Answer:
-4a + q
Step-by-step explanation:
Group the a-values together and the q-values together and simplify:
-7a + 6a + 4a - 7a - 12q + 13 q
= -4a + q
The graph of a function is shown:
Answer: a) {-3, -1, 3, 4}
Step-by-step explanation:
f(x) is the output, and x is the input.
Hope it helps :) and let me know if you want me to elaborate.
a+1, 2a-1 ,a+7 and 3a+4 are in ascending order. if the median is 17. find the value of a.
Since we have an even amount of numbers here, the median is going to be the average of the two middle values, in this case:
(2a-1+a+7)/2 = 17
(3a +6)/2 = 17
3a + 6 = 34
3a = 28
a = 9[tex]\frac{1}{3}[/tex]
Help Me Within 7 Minutes for brainliest. I already have a sorta guess But I'm not positive, A little help here? I want to confirm my answers and it seems no one else ever posted this question out.
y=3x+5
m=3Parallel lines has equal slope .
So equation of parallel line also have slope 3Take the 2nd option
[tex]\\ \sf\longmapsto 6x+2y=12[/tex]
Cut 3[tex]\\ \sf\longmapsto 3x+y=4[/tex]
[tex]\\ \sf\longmapsto y=-3x+4[/tex]
Note the answerTake 3rd option
[tex]\\ \sf\longmapsto -3x+y=8[/tex]
[tex]\\ \sf\longmapsto y=3x+8[/tex]
Take the 1st option
[tex]\\ \sf\longmapsto 3y=9x[/tex]
[tex]\\ \sf\longmapsto y=3x[/tex]
Option C and A is correct
Answer:
C and A
Step-by-step explanation:
Parallel means same slope, which is 3. Just solve for y in each equation, and see if 3 is the slope.
a. 3y = 9x
y = 3x
---
b. 6x + 2y = 12
2y = -6x + 12
y = -3x + 6
---
c. -3x + y = 8
y = 3x + 8
---
d. y = -1/3 x
!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!6
Diane has $12 to spend on a mixture of green and red grapes. What equation can she use to graph a line showing the different amounts of green and red grapes she can buy for $12. Green grapes cost $3/lb and red grapes cost $2/lb.
Answer:
y ≥ [tex]\frac{3}{2}[/tex]x + 6
Step-by-step explanation:
12 ≥ 3x + 2y
Money available ≥ cost of green grapes + cost of red grapes
To turn this into slope-intercept form,
12 ≥ 3x + 2y
2y ≥ -3x + 12
y ≥ [tex]\frac{3}{2}[/tex]x + 6
Graphed - see attached
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Are these ratios equivalent?
825 trees : 660 bushes
929 trees : 809 bushes
yes
no
Answer:
NO
Step-by-step explanation:
Find the equation of the line.
Use exact numbers.
y = ___x + ___
Step-by-step explanation:
formula: y=mx+b
First you gotta find M witch is Slope.
B is the y-intercept which is -2
then you have to do rise/run
so up 2
right 3
= 2/3
so your answer would be
y=2/3-2 because you can't simplify 2/3
Please help ME for brainliest.
Answer:
-1.2y + -4.2y = -3.78
the bulk juice outlet charges $4 for a quart of any organic juice. using this information, fill in the prices for different volumes of juice.
Answer: 8 for 1/2 gallon, 16 for a gallon
Step-by-step explanation:
A garden swimming pool with a cuboidal shape is 8m long and 4m wide and 150 cm deep. The pool which is partially filled has 40m cube of water in it. What is the height of the water level in the pool
Answer:
the pool with 40m³ of water in it is 1.25m deep
Step-by-step explanation:
first convert 150 cm to 1.5m
2nd 8m l × 4m w × 1.5m d = 48m³
3rd divide 40m³ by 8m l × 4m w or 32m²
40m³/32m² = 1.25m deep
Can someone please help me!!
Q; write the sentence as an equation. 251 is equal to 130 added to q
Answer:
251 = 130 + q
This is d equation
Answer:
251 = q + 130
Step-by-step explanation:
251 is equal to 130 added to q,
→ 251 = q + 130
Let's solve the equation,
→ 251 = q + 130
→ q = 251 - 130
→ [ q = 121 ]
So, the answer is 121.
A satellite’s original velocity is 40000
m/s. After 10 minutes, the velocity of
the satellite is 4000 m/s. What is the
satellite’s acceleration?
Answer:
-60m/s²
Step-by-step explanation:
The first thing to do is know the equation:
(Final velocity - initial (original) velocity) / time (seconds)
Next you check the units:
10 minutes = 600 seconds
Then you use the equation to solve the problem:
(4000 - 40000) = -36000
-36000 / 600 = -60
Units for acceleration = m/s²
Answer = -60m/s²
The value is negative because the satellite's velocity has decreased
Hope this helps.
what´s the answer to this?
Step-by-step explanation:
it is a linear function, if the increases in y are constant from point (ordered pair of x and y) to point reissue to the increase in x.
the first table (top left) increases x constantly by 1.
but y increases first by 2 and then by 3 and then again by 3.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
the second table (top right) increases x constantly by 2.
and y increases constantly by 2.
this is constant also in relation to x.
in technical terms : the slope of the function is the same for every point of the function.
in other words : it is a straight line all the way.
so, it is a linear function.
the third table (bottom left) increases x constantly by 1.
but y increases first by 4 and then by 1 and then again by 1.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
the fourth table (bottom right) increases x constantly by 2.
but y increases first by 2 and then by 3 and then again by 3.
this is not constant, so it does not follow the pattern of x.
in technical terms : the slope of the function is not the same for every point of the function.
in other words : it is not a straight line all the way.
so, it is not a linear function.
4.
A recipe for 12 cookies calls for 15 cups of milk, 2 cups of flour, and 1 cups of other
ingredients. How many total cups of milk, flour, and other ingredients are needed to make
24 cookies?
a) 103 cups
b) 116 cups
C) 11 cups
d) 103 cups
Answer:
2 cups of milk, 4 cups of flour, and 2 cups of other ingredients
Step-by-step explanation:
multiply them by 2
Quadrilateral JKLM with vertices J(2, 10),
K(8,9), L(7,4), and M(3, 4):
J
k = 2, centered at (4,7)
Given:
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
Quadrilateral JKLM has vertices J(8, 4), K(4, 10), L(12, 12), and M(14, 10).
(a)If we translate quadrilateral JKLM 3 units down and 3 units left:
(x-3,y-3), we obtain: W(5,1), X(1,7), Y(9,9), and Z(11,7)
Therefore, we match it with: A translation 3 units down and 3 units left
(b)If we translate quadrilateral JKLM 2 units right and 3 units down:
(x+2,y-3), we obtain: O(10,1), P(6,7), Q(14,9), and R(16,7)
Therefore, we match it with:A translation 2 units right and 3 units down
S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
(c) If we transform quadrilateral JKLM by a sequence of reflections across the x- and y-axes, in any order, we obtain:
A(-8, -4), B(-4, -10), C(-12, -12), and D(-14, -10)
(d)If we translate quadrilateral JKLM 3 units left and 2 units up:
(x-3,y+2), we obtain:E(5,6), F(1,12), G(9,14), and H(11,12)
Therefore, we match it with: A translation 3 units left and 2 units up
(e)S(4, 16), T(10, 20), U(12, 12), and V(10, 10)
No suitable transformation is found from JKLM to STUV.
Select the correct answer.
Which expression is equivalent to 27x^4/x^2? Assume that the denominator does not equal zero.
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The equivalent expression is ~
[tex] \boxed{27 {x}^{2} }[/tex]
[tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve ~
[tex] \dfrac{27 {x}^{4} }{ {x}^{2} } [/tex][tex] \dfrac{27 \times x \times x \times x \times x}{x \times x} [/tex][tex]{27 \times x \times x}[/tex][tex]27 {x}^{2} [/tex]Find the 66th term of the arithmetic sequence 3, 13, 23, ...3,13,23,...
Answer:
[tex]a_{66}[/tex] = 653
Explanation:
General formula: [tex]a_{n}[/tex] = ([tex]a_{1}[/tex] + ((term) - 1) · (common difference)
[tex]a_{66}[/tex] = 3 + (66 - 1) · (10)
[tex]a_{66}[/tex] = 653
A group of friends is sharing 2 ½ pounds of berries
If each friend received 5/4 of a pound how many friends are sharing the berries
Answer:
2 friends
Step-by-step explanation:
Answer:
3 1/2
Step-by-step explanation:
Graph the following equation: y - 3 = (x - 2)
Answer:
Step-by-step explanation:
I took pictures of what I found and I think is right
1) 20/2 × 7 = ?
2) 6/2 + 6/1 = ?
.
.
_____
0.
20/2 × 7 = ?
= 10 × 7
= 70
[tex] \: [/tex]
Number (2)6/2 + 6/1 = ?
= 3 + 6
= 9
[tex]\huge\mathfrak\blue{Answer}[/tex]
3 + 6 = 9I NEED THIS ANWER (WILL GIVE BRAILIEST TO CERRECT)
Answer: I got 60d+115f
Step-by-step explanation:
Hope this helps.
Answer:
60d+115f
Step-by-step explanation:
if you were basically asking to simplify then this is your answer