Answer:
y=3[tex](x-4)^{2}[/tex]-47.5
Step-by-step explanation:
I did it in my notebook.
Which answer describes the sequence {1,3,7,15,…} as a mathematical statement?
Answer:
so just successive powers of 2
Step-by-step explanation:
1, 3, 7, 15, 31, 63, _? Add successive powers of 2 to the number: 1+2=3; 3+4=7; 7+8=15; 15+16=31; 31+32=63; 63+64=127.
The given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.
Given that,
To justify the given sequences 1,3,7,15.
Arithmetic progression is the series of numbers that have common differences between adjacent values
What is geometric progression?Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
Here,
Given a sequence, 1,3,7,15
where first term A0 = 1
second term A1 = 1 + 2 = 3
third term A2 = 3 + 4 = 7
From above sequence we can conclude the general term for the sequence as, S = A(n-1) + (A(n-1) + 1)
Thus, the given sequence {1,3,7,15,…} has general term S = A(n-1) + (A(n-1) + 1) where A0 = 1.
Learn more about arithmetic progression here:
https://brainly.com/question/20334860
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use synthetic division to find the quotient when 3x^3-13x^2+2x-5 is divided by x-4?
Answer:
Step-by-step explanation:
4_| 3 -13 2 -5
12 -4 -8
3 -1 -2 -13
3x^2 - x - 2 - 13/(x - 4)
Factorise the following:
a) x + 3x - 4
b) x - 2x - 3
c) x + 2x - 8
9 + 15 using the distributive property to factor out the greatest common factor
Answer:
24
Step-by-step explanation:
9 can be broken down to 3 because 3 x 3 = 9
15 can be broken down to 3 also because 3 x 5 = 15
> 9 + 15
= 3 ( 3 ) + 3 ( 5 )
= 3 ( 3 + 5 )
= 3 ( 8 )
= 24
If a shirt costs 45 dollars, it's marked down to 30% off, what is the amount of the discount?
Answer:
$31.50
Step-by-step explanation:
30% of 45 is 13.5
45-13.5=31.5
Manny begins the summer with $200 in his savings account. Each week he adds $85 to his account. Susan begins the summer with $95 in a savings account and adds $100 each week. When will Manny and Susan have the same amount of money in their accounts?
Answer:
7 weeks
Step-by-step explanation:
200 + 85w = 95 + 100w
-95 -85w -95 -85w
105 = 15w (divide both sides by 15)
7 = w
Please help!! 10-15 much appreciated! :)
Answer:
Step-by-step explanation: sin β = [tex]\frac{oposite }{hypotenuse}[/tex] ; cos β = [tex]\frac{Adjacent}{Hypotenuse}[/tex]
10) sin [tex]32^{0}[/tex] = [tex]\frac{x}{18}[/tex]
18 sin [tex]32^{0}[/tex] = x
18 (0.53) = x
x= 9.5 units
cos [tex]32^{0}[/tex] = [tex]\frac{y}{18}[/tex]
18 cos [tex]32^{0}[/tex] = y
y = 18 (0.85)
y = 15.3 units
You use the same strategy for the rest of the questions. Feel free to reach out if you have more questions.
I dont even know how to solve this lol, need help and work shown
Answer:
-6
Step-by-step explanation:
-7 + 2(5) - (12÷4)²
-7 + 10 - 3²
-7 + 10 - 9
3 - 9
-6
Let us factorise the following alg
x4/16-y4/81
Step-by-step explanation:
this way we get value of x and y
hope it helps ☺️☺️
if u like give thanks
11+19+12+245+1245+23567=
Plz help me cuz I’m slow lol
Answer:
The answer is A
Step-by-step explanation:
(-2,5).......
......
What two integers does 226 lie between?
Find the solution to the system: y=4x and 3x+2y=55
Answer:
x = 5, y = 20
Step-by-step explanation:
if y = 4x and 3x+2y = 55 then we can subtitude y as x.
We know that y = 4x so we can write 4x wherever we see y.
3x + 2y = 3x + 2(4x) = 55
3x + 8x = 55
11x = 55
x = 5.
And if y = 4x = 4(5)
y = 20
The best equation to graph from is the point slope form of a line. True or false?
Answer:
i say yes
Step-by-step explanation:
this is because it will give you the point to start with and the slope so you will already have all the information to graph
The captain of the cheerleading team, Alicia, counted that they washed 58 cars. Determine if this is a reasonable number of cars that could've been washed.
Answer:
yes but no
Step-by-step explanation:
um well that is a lot by not if there is a bunch of people doing it.
The ice cream vendor 's cold box holds 24 ice cream cups. The
freezer has 8 cases of ice cream each with 48 cups. How many
trips to the freezer will the vendor make if he sells all the ice cream?
Answer:
16
Step-by-step explanation:
24/8=3
48/3=16
How to solve mentally
Step-by-step explanation:
1.The "9-trick".To add 9 to any number, first add 10 and then subtract 1
2.Double +1
3.use adittion facts when adding bigger number.
4.subtract by adding
5.five times a number
6.four and eight times a number
7.multiply in parts
im good in math
You don't need to solve it, just write the equations
Answer:
5,640/15=y
y•15=5,640
PLEASE HELP ME OUT HERE!!!!
What percent of this grid is shaded
Answer:
The 4th one cuz it’s a percent
Step-by-step explanation:
Here is a system of equations.
y=3x-1
y=-x-5
Graph the system. Then write its solution. Note that you can also answer "No sol
B
G H
What is the equation of the line perpendicular to Y= 1/2x +6 that passes through the point (4,1)
Answer:
Step-by-step explanation:
y= mx+b is the general equation where m is the slope
y= 1/2 x +6 has the slope 1/2
perpendicular lines have the slope negative reciprocal
so the slope of the ⊥ line is -2
y = -x +b , yet for point (4, 1) the x=4 and y =1
1= -4 +b so b= 5
the equation of the ⊥ line is y= -2x+5
What expense category could be eliminated through good financial planning?
What is the anwser to: h + 5.7 = −5.7
Answer:
h=-11.4
Step-by-step explanation:
because, 5.7+-5.7=-11.4
What is the first step in solving this quadratic equation? x^2+5x=6
a) combine like terms
2) set each factor equal to zero
c) subtract 6 from both sides to get it equal to zero.
d) factor
Answer:
c) subtract 6 from both sides to get it equal to 0
Step-by-step explanation:
Find the slope of the line that passes through the given points.(2, 1) and (7,10)
Answer:
1.8
Step-by-step explanation:
Slope: 1.8
Equation of the line: y=1.8x-2.6
y = x3 + x2 − 4x − 16
Answer:
use photo math
Step-by-step explanation:
Answer:
Step-by-step explanation:
DIFFERENTIATE W.R.T. X
3x 2 +2x−4
EVALUATE
x 3 +x 2 −4x−16
EVALUATE
x
3
+x
2
−4x−16
V(x) is a function.
True or False??
Answer:
B
Step-by-step explanation:
Find the midpoint of the segment with the following endpoints.
(10,6) and (3,1)
Answer:
(6.5 , 3.5)
Step-by-step explanation:
[tex]Midpoint=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})\\[/tex]
[tex]=(\frac{10+3}{2},\frac{6+1}{2})\\\\=(\frac{13}{2},\frac{7}{2})\\\\=(6.5,3.5)[/tex]
The ratio of students with brown eyes in Michelle’s class to all of the students in her class is 20:25. What is another way to write this ratio?
Answer:
3/4, 5/6, 8/10 this is in fraction form though. just change it to 3:4