Steps to solve:
y + 8 = -11
~Subtract 8 to both sides
y = -19
Best of Luck!
Given the explicit expression f (n) = 5n - 2, write a set showing the sequence, and write a recursive expression.
Answer:
[tex]f(n) = 5 + f(n - 1)[/tex]
Step-by-step explanation:
Given
[tex]f(n) = 5n - 2[/tex]
Required
Write a recursive expression
[tex]f(n) = 5n - 2[/tex]
When n = 1
[tex]f(1) = 5 * 1 - 2 = 5 - 2 = 3[/tex]
[tex]f(1) = 3[/tex]
When n = 2
[tex]f(2) = 5 * 2 - 2 = 10 - 2 = 8[/tex]
[tex]f(2) = 8[/tex] can be rewritten as
[tex]f(2) = 5 + 3[/tex]
Substitute 3 for f(1)
[tex]f(2) = 5 + f(1)[/tex]
Express 1 as 2 - 1
[tex]f(2) = 5 + f(2-1)[/tex] ----- (1)
When n = 3
[tex]f(3) = 5 * 3 - 2 = 15 - 2 = 13[/tex]
[tex]f(3) = 13[/tex] can be rewritten as
[tex]f(3) = 5 + 8[/tex]
Substitute 8 for f(2)
[tex]f(3) = 5 + f(2)[/tex]
Express 2 as 3 - 1
[tex]f(3) = 5 + f(3 - 1)[/tex] ------ (2)
Write out (1) and (2)
[tex]f(2) = 5 + f(2-1)[/tex]
[tex]f(3) = 5 + f(3 - 1)[/tex]
Replace 2 and 3 with n in both cases; This gives
[tex]f(n) = 5 + f(n - 1)[/tex]
Hence;
The recursive is [tex]f(n) = 5 + f(n - 1)[/tex]
!!25 POINTS!!
Name Y Z two other ways.
Answer:
Step-by-step explanation:
would it be C.
Y, Z
The quotient of the three times a number and the quantity 4 plus the same number. Use n.
if the quotient of three times a number and four is decreased by three, the result is nine. whats the number
Answer :Trevor,
number = x
(3x÷ 4) - 3 = 9
Use a common denominator 4: 3x - 12 = 36
3x = 48
x = 16
Does it fit the original equation?
[(3 x 16) ÷ 4] -3 = (48 ÷ 4) -3 = 12 - 3 = 9
Hope it helps
Hi.
Please i need help with this question.
Workings Please
Note : 100k = N1
So , N1.10 = 110k.
Thanks.
<3
Answer: E. N1.10
Step-by-step explanation:
18 words cost a total of 35k
48 - 18 = 30 additional words cost 2.5k each: 30 × 2.5 = 75k
35k + 75k = 110k
= N1.10
If someone can help me figure out #6. Thanks
Answer: [tex](1,-\frac{3}{2})[/tex]
Step-by-step explanation:
To find the midpoint, you use the formula [tex]midpoint=(\frac{x_1+x_2}{2} ,\frac{y_1+y_2}{2} )[/tex].
The points are (-2,-1) and (4,-2).
[tex]midpoint=(\frac{-2+4}{2} ,\frac{-1+(-2)}{2} )[/tex] [add]
[tex]midpoint=(\frac{2}{2} ,\frac{-3}{2} )[/tex] [divide]
[tex]midpoint=(1 ,\frac{-3}{2} )[/tex]
Now, we know the midpoint is [tex](1,-\frac{3}{2})[/tex].
Solve S=BC-8 for B
..
Answer:B = S C + 8 C
Mark is solving an equation where one side is a quadratic expression and the other side is a linear expression. He
sets the expressions equal to y and graphs the equations. What is the greatest possible number of intersections for
these graphs?
none
one
two
infinitely many
Answer:
The answer would be two because one of the lines would be a parabolic line and parabolic lines only have at the most two solutions.
The greatest possible number of intersections for the graphs is two.
What is the greatest possible number of intersections of the graph?It follows from the task content that the two graphs involved are;
A linear and quadratic graph.By convention, a quadratic graph produces a parabola and a linear graph produces a straight line. On this note, it follows that the best case of intersection is when the straight line crosses over the parabola and hence leading to two points of intersection.
Read more on linear and quadratic expressions;
https://brainly.com/question/2438097
What is the product of (-a + 3)(a + 4)
Answer:
-a^2-a+12
Step-by-step explanation:
After multiplying and opening the brackets
we get
-a^2-4a+3a+12
=-a^2-a+12. ( simplifying)
hope it helps.....
Answer:
[tex] \boxed{\sf -a^2 - a + 12} [/tex]
Step-by-step explanation:
⇒(-a + 3)(a + 4)
⇒-a(a + 4) + 3(a + 4)
⇒(-a)(a) + (-a)(4) + (3)(a) + (3)(4)
⇒-a² - 4a + 3a + 12
⇒-a² - a + 12
Convert the fraction into a percentage.
1
7
10
=
%
Answer:
170%
Step-by-step explanation:
Convert the fraction into a percentage. 6 2 5 = %
Answer:
625%
Step-by-step explanation:
Which statement is true about the value of |6|?
Answer:
C
Step-by-step explanation:
I got it right on a quiz
please help! I'm not really sure what the answer is.
Answer:
The Answer is B (2x[tex]10^{9}[/tex],7x[tex]10^{-1}[/tex],8x[tex]10^{-8}[/tex],9x[tex]10^{-9}[/tex])
Step-by-step explanation:
It is the largest to smallest.
Find the slope of the line through (2, -3) and (-4, 3).
We can use the given points to solve.
Slope formula: y2-y1/x2-x1
3-(-3)/-4-2
6/-6
-1
Best of Luck!
(2, -3) and (-4, 3)
To Find:The slope of the line through (2, -3) and (-4, 3).
Slope Formula:y2 - y1 / x2 - x1
Solution:3 + 3 / -4 - 2
= 6 / -6
= -1
Answer:-1
To estimate your average monthly salary, divide your yearly salary, y, by the
number of months in a year. Write and solve an equation to determine your
yearly salary when your average monthly salary is $4560.
Answer:
$54,720
Step-by-step explanation:
If you make $4560 a month and there are 12 months in a year the equation would be...
$4560 * 12 = yearly salary
4560 * 12 = 54720
So your yearly salary is $54,720
Hope this helps!
3526.48502 to 2 decimal places
Answer:
3526.48502
3526.49 as after 8 there is 5 and more than
Step-by-step explanation:
Answer:
3526.49
Step-by-step explanation:
You look at two 2dp after the decimal point. It is 8. You look to the number on the right which is 5 so you round up to 9.
The table below shows the number of school absences each day.
A 2-column table with 6 rows. Column 1 is labeled Day (x) with entries 1, 2, 3, 5, 6, 7. Column 2 is labeled Absences (y) with entries 10, 6, 2, 10, 6, 2.
Which equation models the data in the table?
y = 4 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
y = 2 cosine (StartFraction pi Over 2 EndFraction x minus StartFraction pi Over 2 EndFraction) + 6
y = 4 cosine (StartFraction pi Over 2 EndFraction x + StartFraction pi Over 2 EndFraction) + 6
Answer:
A
Step-by-step explanation:
did it on edge soo there ya go
Answer:
a
Step-by-step explanation:
A cube has edges measuring 5 inches. Find the surface area of the cube.
5 inches
102 square inches
100 square inches
150 square inches
105 square inches
С
d
Answer:
150 square inches
Step-by-step explanation:
The surface area is the exposed area, which would be 6 sides with an area of 25 and 25x6 is 150
Answer:
150 square inches
Step-by-step explanation:
The surface area of the cube is
[tex]S_A=A_1+A_2+A_3+A_4+A_5+A_6[/tex]
but it's a cube so all the areas are the same
[tex]S_A=6A_1[/tex]
and the area of
[tex]A_1=l^2[/tex]
[tex]l=5\\\\A_1=5^2\\\\A_1=25[/tex]
so the surface area is
[tex]S_A=6(25)\\\\S_A=150[/tex]square inches
What do you observe about the distances between the three pairs of corresponding vertices for each movement Based on your observations, how would you define a translation? How can you extend what you know about the vertices of a shape to all the points on a shape during a translation?
Answer:
The Observation made about the distances between three pairs of corresponding vertices is that the distance between each translated pair must be equal to the distance between every translated pair . i.e distance between A and A' = distance between B and B' = distance between C and C'
Step-by-step explanation:
The Observation made about the distances between three pairs of corresponding vertices is that the distance between each translated pair must be equal to the distance between every translated pair . i.e distance between A and A' = distance between B and B' = distance between C and C'
from this observation Translation is the movement of all vertices of shapes at a fixed distance along a given co-ordinate, The movement of the vertices of a shape at a fixed distance is just another way of defining the movement of the points of a shape at a fixed distance in relation to translation
Answer:
Each distance between the three pairs of corresponding vertices is the same. Based on this observation, a translation is a transformation in a coordinate plane that moves the vertices of a shape a fixed distance. In fact, a translation moves all points on a shape a fixed distance.
Step-by-step explanation:
Which one is it? Help
The answer would be letter B.
The graph shows the number of miles traveled by a train over a 5 hour trip.
180
160
140
120
100
Miles
Traveled
80
60
40
20
0
1
2
4
5
3
Hours
How fast is the train traveling?
A. 30 miles per hour
B. 32.5 miles per hour
C. 35 miles per hour
D. 40 miles per hour
Answer: 35
Step-by-step explanation:
Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the
towns can be represented by four points: A, G, M, and W. Given that M is the midpoint of AW and MG =
MA + GA, determine the
proper order of the four towns.
Answer:
W, M, A and G
Step-by-step explanation:
The question is not correct, the correct question is Adams, Greensburg, Middletown, and Waldron are four towns in Indiana on a nearly straight highway. If the highway is represented by a line, the towns can be represented by four points: A, G, M, and W. Given that MG + WM = WG and MA = MG - AG determine the proper order of the four towns.
Answer: The line segment addition postulate states that for a line segment AC with point B which lines on AC, then this equation holds:
AB + BC = BC
Given that MG + WM = WG, this means that point M lies between the segment WG.
Also, MA = MG - AG
MA + AG = MG, hence point A lies between segment MG
Therefore the order of the points is W, M, A and G
24x27= Will give brainless
Answer:
648
Step-by-step explanation:
here u go
Answer:
648
Step-by-step explanation:
24 x 27 = 648
Which number is irrational?
16.5%
0.0675
8 3/4
3.14
Answer:
3.14
Step-by-step explanation:
it will go on foreever
n(x)=2x+7;(x)=17, what is the value of x so that the function has a given value
Explain what mistake was made in the problem below and what should be the
right answer.
Student Work:
2(x + 4) – 8 = 3x+10-4
2x + 8–8 = 3x + 6
2x = 3x + 6
- 3x – 3x
X = 6
Answer:
Instead of moving the 3x to the opposite side of the equation they moved the 2x. And the correct answer is x=-6 not x=6.
Step-by-step explanation:
Student Work:
2(x + 4) – 8 = 3x+10-4
2x + 8–8 = 3x + 6
2x = 3x + 6
- 3x – 3x
X = 6
My work:
2(x+4)-8=3x+10-4
2x+8-8=3x+6
2x=3x+6
-x=6
x=-6
The table shows the speeds and time that each person traveled.
A 3-column table with 3 rows. Column 1 is labeled Person with entries Mel, Ben, Pia. Column 2 is labeled Speed (kilometers per hour) with entries 97, 102, 93. Column 3 is labeled Time (hours) with entries 3, 2, 2.
Approximately how many kilometers did the three people drive in all?
292 kilometers
584 kilometers
681 kilometers
876 kilometers
Answer:
681
Step-by-step explanation:
multipy the speed by distance and time
Answer:
681
Step-by-step explanation:
‼️Please help me‼️Use the number line to find FB. Enter your answer as a number
Answer:
-11
Step-by-step explanation:
the formula for the distannce of AB with A the starting point is
B-A
so in this case
FB
F is the starting point
-6-5=-11
20 points!!!! please help fast!!!!
Answer:
0 m/s
Step-by-step explanation:
The line is flat so there is no movement
Answer:
b
Step-by-step explanation:
on this graph a horizantal line means no speed because there is no change in distance
What is 5000000+2000
Answer:
Step-by-step explanation:
5000000
+ 2000
5002000 (Answer)
How will you write 5 × 5 × 5 × 5 × 5 as an exponential expression?
Answer:
5 5
Step-by-step explanation:
the second five is small five