What is the value of f(-2) and f(3)
Answer:
Step-by-step explanation:
When answering questions like this, we have to first decide which function we have to use. This is done by looking at the given domains (the x≤-2 etc). The first question ( f(-2) ), means we have to choose the function that applies to the x-coordinate -2. x=-2 is part of the section x ≤-2 since the sign means larger or equal to -2. Hence, we use the function 2x+8 to calculate f(-2). After finding this, the solving is relatively easy, just fill in the x-coordinate:
f(-2) = 2 * -2 + 8 = -4 + 8 = 4
The second one needs the same method. x=3 belongs in the section
-2 < x ≤ 3, since the final part means x is smaller or equal to 3, and in this case it is. Hence we use [tex]x^{2} -3[/tex] here:
f(3) = 3² - 3 = 9 - 3 = 6
I hope this helps! Feel free to reach out if you still have questions
Thirty-six thousand four hundred fifteen in standard form
Answer:
30000 + 6000 + 400 + 15
Step-by-step explanation:
2(x+9)=38
is x=12 viable or non-viable
Answer:
x = 10, so non-viable.
Explanation:
[tex]2(12+9)=42[/tex]
[tex]2(10+9)=38[/tex]
Which relation is a function of x?
Answer:
I think the graph is the fourth choice
I hope I helped you^_^
Find the sum S below:
[tex] \displaystyle \large{S = \frac{2}{1 \cdot 3} + \frac{2}{3 \cdot 5} + \frac{2}{5 \cdot 7} + ... + \frac{2}{(2n - 1)(2n + 1)} }[/tex]
Please show your work too. Thanks!
You can use the same technique I showed in another one of your questions (24467305).
Partial fractions:
[tex]\dfrac2{(2n-1)(2n+1)} = \dfrac a{2n-1} + \dfrac b{2n+1} \\\\ \implies 2 = a(2n+1) + b(2n-1) = (2a+2b)n + a- b \\\\ \implies \begin{cases}2a+2b=0 \\ a-b = 2\end{cases} \implies a = 1, b=-1[/tex]
Then we have a telescoping sum,
[tex]S = \displaystyle \sum_{k=1}^n \frac 2{(2k-1)(2k+1)} \\\\ S = \sum_{k=1}^n \left(\frac1{2k-1} - \frac1{2k+1}\right) \\\\ S = 1-\frac13 + \frac13 - \frac15 + \cdots +\frac1{2n-3}-\frac1{2n-1}+\frac1{2n-1}-\frac1{2n+1} \\\\ S = 1 - \frac1{2n+1} = \boxed{\frac{2n}{2n+1}}[/tex]
(And in case you were actually interested in an infinite sum, we can see that this converges to 1 as n goes to ∞.)
SHOW PROOF OR NUN and brainlyiest
Multi-Step Two friends compare the amount of change they
have in their pockets. Ashley has 12 nickels, 2 dimes, and
4 quarters. Beto has 10 nickels, 4 dimes, and 3 quarters.
Who has more money?
Answer:
Ashley
Step-by-step explanation:
Ashley:
12n (n=5) = 60+2u (u=10)=80
4 quarters equal a dollar
$1.80
Beto:
10n (n=5)= 50+ 4u (u=10) = 90
3 quarters equal .75
$1.65
The sum of four consecutive numbers is 90 Correctly form the equation
hi <3
lets call our first unknown value 'n'
the next value would then be 'n+1'
etc
so, our equation would be:
n + n + 1 + n + 2 + n + 3 = 90
this can be simplified down to 4n + 6 = 90
hope this helps :)
[tex] \large \mathfrak{Solution : }[/tex]
Let the consecutive numbers be :
xx + 1x + 2x + 3we know,
x + x + 1 + x + 2 + x + 3 = 904x + 6 = 904x = 84 x = 21the numbers are :
x = 21x + 1 = 22x + 2 = 23x + 3 = 2444. Consider all rectangles with an area of 182 square feet. Letzbe the length of ene side of such a
rectangle
a) Express the perimeter as a function of
b) Use the graphing calculator to find the dimensions of the rectangle that
has the least perimeter. What is the least perimeter?
Answer:
Image result for 44. Consider all rectangles with an area of 182 square feet. Let's Be the length of one side of such a rectangle a) Express the perimeter as a function of b) Use the graphing calculator to find the dimensions of the rectangle that has the least perimeter. What is the least perimeter?
Divide the area of the rectangle by the width in order to find the length of 14 feet. The perimeter is the sum of the side lengths, which in this case is 14 feet + 4 feet +14 feet + 4 feet, or 36 feet.
please help me quickly
Answer:
look we solve it without options
4 - 2x = 24
4 - 2x -4 = 24 -4
SO FIRSTLY SUBTRACT 4
-2x = 20
-2x /-2 = 20 /-2
SO DIVIDE BY -2
X = - 10
So analyse options and u will know that option b is correct :))
3. Simplify each expression
a. 5/8 + 3/16 =
Answer:
[tex] \frac{5}{8} + \frac{3}{16} \\ = \frac{5}{8} \times \frac{2}{2} + \frac{3}{16} \\ = \frac{10}{16} + \frac{3}{16} \\ = \frac{13}{16} \\ thank \: you[/tex]
Answer:
13/16
Step-by-step explanation:
first make equal denominators
(5/8) x 2 = 10/16
= 10/16 + 3/16
= 13/16
[17 - 7] × 6 + 2 + 56 - 8
Answer:
110
Step-by-step explanation:
[17 - 7] × 6 + 2 + 56 - 8
10 × 6 + 2 + 56 - 8
60 + 2 + 56 - 8
62 + 56 - 8
118 - 8
110
Answer:
110
Step-by-step explanation:
[17 - 7] × 6 + 2 + 56 - 8
(10) x 6 + 2 + 56 - 8
60 + 2 + 48
62 + 48
110
On Tuesday, Jessica paid $14.12 each on two tickets to a movie theater. Popcorn was
$3.98, but Jessica didn't buy any. She also borrowed a movie for $5.93. Jessica paid
with two $20 bills. How much change did Jessica get?
Answer:
14.12 × 2 + 5.93 = 34.17
40$ - 34.17 = 5.83$
Answer:
$14.12+$14.12=$28.24+$5.93=$34.17
Change is $6.83
WILL GIVE BRAINLIEST
2 1 3 5 4 Which best describes the pair of angles: Z4 and 25? O Vertical Angles O Linear Pair O Complementary Angles O Acute Angles ·
What is the answer to this?
Answer:
true
Step-by-step explanation:
5(1+2x)= 5 +10x =10x + 5
Answer:
Yes, they are eqivelant.
Step-by-step explanation:
5(1+2x) and 10x+5
The first step is to set them equal to each other, to see if they are equivelent.
5(1+2x) = 10x+5
Distribute the 5 to both terms in the parentheses by multiplying.
5(1) + 5(2x) = 10x +5
5 + 10x = 10x +5
The communative property of addition proves that these are equal.
_______insurance is a policy that protects the financial responsibility of
owning a vehicle.
Answer:
Liability car insurance
I HAVE 5 MIN SOMEONE HELP?
Answer:
35• 43 m square is correct answer
Sara's high school played 15 basketball games this year and 3 were at night.
The team won most of their games. They were defeated during 4 games. How many games did they win ?
PLEASE HELP ASAP!!!!!!!!!!!!!!!
Name the set or sets to which 14/15 belongs
Answer:
inegeters
Step-by-step explanation:
Help ASAP, I’ll give brainliest
Show work ty
Step-by-step explanation:
A
3(6+15)
=3(21)
=63
B
5[15-(6+1)]
=5(8)
=40
B
⅓(15)
=5
C
⅓(6+15)
=⅓(21)
=7
E
15/6
=2/1/2 or 2.5
W
2(6)(15-3)
=2(7)
=36
L
4(⅓+⅓+⅓)
=4(1)
=4
L
6/15 - 15/6
=36/90 - 225/90
= -189/90
= -21/10
Use the prime factorization of 36 to find all of its factors
Answer:
1, 2, 3, 4, 6, 9, 12, 18, and 36
the sum of two rational numbers is -8. if one of the is -8/17, find the other
Answer:
The other number is -128/17
Step-by-step explanation:
Let the unknown number be x,
[tex] \tt \longmapsto \: x + \frac{ - 8}{17} = - 8[/tex]
[tex] \tt \longmapsto \: x = \frac{ - 8}{1} + \frac{8}{17} [/tex]
[tex] \tt \longmapsto \: x = \frac{ - 136 + 8}{17} [/tex]
[tex] \tt \longmapsto \: x = \frac{ - 128}{17} [/tex]
please helpp algebra honors is so hard
Answer:
36. [tex]\frac{a^{7} }{b^{8} }[/tex] | 37. 1 ( anything raise to 0 equal 1 ) | 38. [tex]g^{4}[/tex]
Step-by-step explanation: Just flip the exponent degree to negative when you move it down and positive when you move it up. You will be able to solve the rest. :)
i need help please answer
CORRECTLY
Answer:
Add 4
Step-by-step explanation:
When subtracting a negative it is like adding a positive
5 - (-4)
5 + 4
Add 4
Step-by-step explanation:
adding 4
- × - = +
So,
5 - (-4)
5 + 4
9
64 less than a triple a number
Answer:3n-64
Step-by-step explanation:
What is the midpoint of segment AB when A is at (5,7) and B is at (3,1)?
Answer:
(4, 4)
Step-by-step explanation:
A (5,7) and B (3,1)
To find the midpoint of a line segment, use this formula.
[tex]midpoint =(\frac{x^1+x^2}{2} ,\frac{y^1+y^2}{2} )[/tex]
(x1, y1) = coordinates of first point
(x^2, x^2) = coordinates of second point.
Basically, you add the coordinates x^1 and x^2, then divide the sum by 2. That would be your first coordinate.
Next, you add y^1 and y^2, then divide the sum by 2. That would be your second coordinate.
[tex]midpoint-(\frac{5+3}{2} ,\frac{7+1}{2})[/tex]
[tex]midpoint = (4, 4)[/tex]
Therefore, the midpoint of segment AB is (4,4).
Let me know if you have any further questions.
The midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).
The midpoint formula states that the coordinates of the midpoint between two points [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are given by:
Midpoint = [tex]((x_1 + x_2)/2, (y_1 + y_2)/2)[/tex]
The coordinates of point A are given as (5, 7), and the coordinates of point B are given as (3, 1).
Plugging in the coordinates:
x-coordinate of the midpoint = (5 + 3)/2 = 8/2 = 4
y-coordinate of the midpoint = (7 + 1)/2 = 8/2 = 4
Therefore, the midpoint of segment AB is (4, 4).
Thud, the midpoint of segment AB, when point A is located at (5, 7) and point B is located at (3, 1), is (4, 4).
Learn more about midpoint here;
https://brainly.com/question/5127660
#SPJ3
Please simplify 53/-18.75
Answer:
53/-18.75 = -2.82666
Step-by-step explanation:
hope this helps :)
Answer:
[tex] \frac{53}{ - 18.75} = \frac{5300}{ - 1875} = - 2.826[/tex]
I hope I helped you^_^
a boat travels 24 km in 90 minutes what's the average speed?
Connor has 2 hours to play a game that takes hour each time. He plays the game 3 times. How many more times can Connor play the game?
Answer:
He can't.
Step-by-step explanation:
Reasoning? If he has two hours of gaming time and it takes one hour each, he'd be past-due on playing his games as an hour would've already passed! So he cannot play anymore games because well, the time has passed and he is one hour late than he is already supposed to be.
he can't my guy. like bro how
HELP ASAP
Graph JKL and its image after a reflection in the line y=3.
Then give the points of the image.
J (3,-5)
K (4, -1)
L (0, -3)
I need the new coordinates for the reflection of the pre image.
