Answer:
x≤ 5
Step-by-step explanation:
18-2-1=15
15/3=5
Answer:
the number of book she can carry is 5 books
Step-by-step explanation:
backpack capacity = 18 lb
backpack can carry:
lunch = 1 lb
gym clothes = 2 lb
books = 3 lb per book
find:
how many books can she carry in her backpack?
backpack capacity = lunch + gym clothes + x books
let x be the number of books
18 = 1 + 2 + 3x
18 - 1 - 2 = 3x
15 = 3x
x = 15 / 3
x = 5
therefore, the number of book she can carry is 5 books
Find f(k - 1) when f(x) = 5x^2+ 4x – 5.
Plug in [tex]k-1[/tex] to each [tex]x[/tex] in the function.
[tex]f(k-1)=5(k-1)^2+4(k-1)-5[/tex]
[tex]f(k-1)=5(k^2-2k+1)+4k-4-5[/tex]
[tex]f(k-1)=5k^2-10k+5+4k-4-5[/tex]
[tex]f(k-1)=5k^2-6k-4[/tex]
Hope this helps.
頑張って!
f(k-1) = 5k² - 4k - 4
The given function is:
f(x) = 5x² + 4x - 5
To find f(k-1), substitute x = k-1 into f(x)
f(k-1) = 5(k-1)² + 4(k-1) - 5
f(k-1) = 5(k² - 2k + 1) + 4k - 4 - 5
f(k -1) = 5k² - 10k + 5 + 4k -9²
Collect like terms
f(k-1) = 5k² - 10k + 5k + 5 - 9
Simplify
f(k-1) = 5k² - 4k - 4
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Solve the absolute value equation [x] - 2 = 5 to find the distance Mary can walk forward, x, in
5 seconds.
x = 7 m and x = -7 m
x=-3 m and x = 7 m
x = -7 m and x = 3 m
x = 3 m and x = -3 m
Answer:
the answer is x=7 and x=-7
Step-by-step explanation:
Subtitution .HELP ME
Answer:
x = 2
y = 3
Step-by-step explanation:
x = 3y - 4
5x + 2y = 31 in the second equation replace x with 3y - 4
5 (3y - 4 ) + 2y = 31 multiply 5 with inside the parenthesis
15y - 20 + 2y = 31 add like terms
17y = 51
y = 3
Now, since we found the value of y we can use it to calculate x
x = 3y - 4
x = 3×3 - 4
x = 2
Solve the following expression when
m = 5 and d = 4
m2 + 2d + 8 + d
Answer:
answer is 45
Step-by-step explanation:
plz help me im crying
Answer:
B
Step-by-step explanation:
You just do 113,000 - 71,500= 41,500
Round each decimal number to the nearest tenth. Then, select the best estimate for the addition equation 3.14 + 0.62 = ___.
Answer:
3.7
Step-by-step explanation:
3.14 + 0.62 = ___.
Step 1
Round each decimal to the nearest tenth
3.14 to the nearest tenth = 3.1
0.62 to the nearest tenth = 0.6
Step 2
Solve the addition equation
= 3.1 + 0.6
= 3.7
Answer:
3.7
Step-by-step explanation:
3.14 + 0.62 = ___...........
Step 1
Round each decimal to the nearest tenth
3.14 to the nearest tenth = 3.1
0.62 to the nearest tenth = 0.6
Mary is traveling to Ecuador for her summer vacation. She looks at a map of the path of her flight. Her plane leaves from Florida, located at (1, 4) on the map’s coordinate grid, makes a stop at the midpoint, Panama, located at (5, 7 ) on the map’s coordinate grid. and then heads to its destination, Ecuador. Find the location of Ecuador on Mary’s map. Group of answer choices (3, 5.5) (8, 9) (0, 0) (9, 10)
Answer:
(9, 10)
Step-by-step explanation:
We are told that the coordinates of Mary's departure location is (1,4)
Now, we are told that She stopped at the midpoint of the journey located at Panama with a coordinate of (5, 7).
Now, we want to find the coordinates of her final destination.
Let the coordinates of her final destination be (x, y)
Since midpoint is at (5,7) and the initial point is at (1,4), then to get x;
(x + 1)/2 = 5
x + 1 = 5 × 2
x + 1 = 10
x = 10 - 1
x = 9
Similarly, to get y;
(y + 4)/2 = 7
y + 4 = 14
y = 14 - 4
y = 10
Thus, the coordinates of her final destination is; (9, 10)
help solve this please
Answer:
h=18/7
Step-by-step explanation:
2/21=h/27
21 h=54
h=54/21 common factor 3
h=18/7
what is the answer to x/-4 <16
[tex]\frac{x}{-4} < 16[/tex]
16 yı karşıya at;
x/-4-16<0
(-x-64)/4<0
-x-64<0
-64<x
x>-64
Answer:
x > −64
I hope this helps!
Simplify the equation -4(2x-4)
Answer:
-8x + 16
Step-by-step explanation:
This is called expanding brackets in algebra
1. you need to multiply the numeral on outside of the brackets with each of thosse on the inside
-4 x 2x = 8x
-4 x -4 = 16
three more than five times the number of dogs find the algebraic expression
Answer: 5x+3
Step-by-step explanation: 3 more refers to addition so you are aware that 3 is the number that is being added in the equation, and 5 times refers to multiplication so you know 5 is being multiplied in the equation, which means the algebraic expression would be: 5x+3.
could somebody please help me graph this function?? 40 points <3
Answer:
root (0,0)
domain x= all reall numbers
range y= all real numbers
Vertical intercept (0,0)
y+9÷2=y-3÷4-(y/3)
pls help
Answer:
y = - [tex]\frac{63}{4}[/tex] or - 15.75
Step-by-step explanation:
Order of operations.
y + [tex]\frac{9}{2}[/tex] = y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Subtract y from each side.
y - y + [tex]\frac{9}{2}[/tex] = y - y - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]
[tex]\frac{9}{2}[/tex] = - [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex] Add [tex]\frac{3}{4}[/tex] to each side
[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{3}{4}[/tex] + [tex]\frac{3}{4}[/tex] - [tex]\frac{y}{3}[/tex]
[tex]\frac{9}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex] Find the common denominator for [tex]\frac{9}{2}[/tex] and [tex]\frac{3}{4}[/tex], which is 4
[tex]\frac{9}{2}[/tex] * [tex]\frac{2}{2}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]
[tex]\frac{18}{4}[/tex] + [tex]\frac{3}{4}[/tex] = - [tex]\frac{y}{3}[/tex]
[tex]\frac{21}{4}[/tex] = - [tex]\frac{y}{3}[/tex] Multiply each side by 3
[tex]\frac{21}{4}[/tex] * 3 = - [tex]\frac{y}{3}[/tex] * 3
[tex]\frac{63}{4}[/tex] = - y Divide each side by -1
y = - [tex]\frac{63}{4}[/tex] = - 15 [tex]\frac{3}{4}[/tex]
y = - 15.75
Step-by-step explanation:
There are 2 scenarios below. One without parenthesis and the second with. I believe the second one is your question.
y+9÷2=y-3÷4-(y/3)y - y + y/3 = - 3/4 - 9/2 ⇒ combining like termsy/3 = -3/4 - 18/4y/3 = -21/4y = -21/4*3y = -63/4y = - 15 3/4===============
(y+9)÷2=(y-3)÷4-(y/3)12*(y+9)/2 = 12* (y-3)/4 - 12*y/3 ⇒ this is to get rid of fraction6(y+9) = 3(y-3) - 4y6y + 54 = 3y - 9 - 4y6y + 54 = - y - 96y + y = - 9 - 547y = - 637y/7 = -63/7y = -9Use the distributive property to find the value of 8(10 + 9).
152
82
89
97
Help me do this please!
Answer:
Step-by-step explanation:
Part a:
a. Slope for line 1: (0 + 1)/(8 - 4) = 1/4
b. Slope for line 2: (-6 - 2)/(2 - 0) = -8/2 = -4
c. Slope for line 3: (-6 + 7)/(-3 - 6) = -1/9
Part b:
Line 1 and Line 2: perpendicular
Line 1 and Line 3: neither
Line 2 and Line 3: neither
9x10^7 is how many times as large as 3x10^3
9x10^7
10x10=100x10=1,000
1,000x10=10,000
10,000x10=100,000
100,000x10=1,000,000
1,000,000x10=10,000,000
10,000,000x9=90,000,000
3x10^3
10x10=100x10=1,000
1,000x3=3,000
90,000,000/3,000=30,000
So 9x10^7 is 30,000x larger than 3x10^3
hope it helps!
9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.
What is Exponents?The number of times a number has been multiplied by itself is referred to as an exponent.
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Given:
9x [tex]10^7[/tex]
The number [tex]10^7[/tex] can be expanded as
[tex]10^7\\[/tex] = 10,000,000
and, 9x [tex]10^7[/tex] = 9 x 10,000,000
= 90,000,000
The number [tex]10^3[/tex] can be expanded as
[tex]10^3[/tex] = 1000
and, 3 x 10³ = 3 x 1000
= 3000
Then, 90,000,000/3,000
=30,000
Hence, 9x [tex]10^7[/tex] is 30,000 times larger than 3 x 10³.
Learn more about Exponents here:
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write 0.46 repeating as a fraction in simplest form
Two numbers have a sum of 2 and a difference
of -16. What are the numbers?
Answer:
-7 & 9
Step-by-step explanation:
(-7) + 9 = 2
(-7) - 9 = -16
x + y = 2
x - y = -16
Add the equations together to eliminate one of the variables.
2x = -14
Divide both sides by 2
x = -7
Let's plug -7 into x for our first equation.
-7 + y = 2
Add 7 to both sides.
y = 9
Write the expression for the perimeter of the triangle below.Simplify.Must show work(Formula for Perimeter is P=S+S+S)
Answer:
4x
Step-by-step explanation:
P = S + S + S
P = x + x + 3 + 2x - 3
P = 4x
Which function has an inverse that is also a function?
{(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
{(–4, 6), (–2, 2), (–1, 6), (4, 2), (11, 2)}
{(–4, 5), (–2, 9), (–1, 8), (4, 8), (11, 4)}
{(–4, 4), (–2, –1), (–1, 0), (4, 1), (11, 1)}
Answer:
A. {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)}
Step-by-step explanation:
I just did the quiz but basically you can switch the coordinates around to view the coordinates of the inverse function. If there are x values that are the same number, it does not pass the line test making it not a function with an inverse function.
The function has an inverse that is also a function will be {(–4, 3), (–2, 7), (–1, 0), (4, –3), (11, –7)} so correct option will be (A).
What is a function?A certain kind of relationship called a function binds inputs to essentially one output.
The machine may only produce one output for each input and will only accept inputs that are specifically listed as part of the function's domain.
In other words, the function is a relationship between variables and the nature of the relationship.
In the given question
We know that a function is only a function such that there is a unique value of y corresponding to x.
An inverse function will only be a function if the function which is going to be inverse is a function.
In option (A) all value of x corresponding to y are different but in all remaining options the values are repeating hence that will be not a function since only (A) has to inverse
For more about the function
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What is the product of -15 and -3?
05
-5
-18
45
Answer:
45
Step-by-step explanation:
negative times negative equals positive
what is the balue of x in the proportion 2 1/4 / x= 1 1/2/3/35?
Answer:
5 2/5
Step-by-step explanation:
(2 1/4) / x = (1 1/2) / (3 3/5)
so
x = (2 1/4) * (3 3/5) / (1 1/2)
List the domain and range of the relation. {(7. - 6), (4,4), (0, -6), (4,1) (7,6)}
The domain is all the x values in the relation.
The range is all the y values in the relation.
Note that if you have more then one of a number, you only put one.
Domain: 7, 4, 0
Range: -6, 4, 1, 6
Best of Luck!
What is the sum and classification of 3/20 + the square root of 10 and is it rational
Answer:
The correct option is 1
Step-by-step explanation:
Given the number . we have to identify the number is rational or irrational
As we know is irrational
i.e
The above number is irrational as it is non repeating and non-termination number after decimal.
As the sum of a rational and an irrational must be irrational
∴ is irrational which gives the sum 3.31227766....
hence, the correct option is 1)
Solve the equation below
Answer:
A)2A/h-b2
Step-by-step explanation:
A=h(b1+b2)/2
2A=b1h+b2h
2A-b2h=b1h
b1=2A-b2h/h
b1=2A/h-b2h/h
b1=2A/h-b2
Hope it is helpful for you
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3k + 3n = 3(k+n)
is this
association axiom for addition or multiplication
Answer:
Yes it is ✔️✔️✔️
Axiom for multiplication
hope this helps uh
A loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks. What is the ratio of boxes of socks to boxes of shoes
Answer:
0.4561
Step-by-step explanation:
If a loading dock manager is unpacking a delivery truck that has 57 boxes of shoes and 26 boxes of socks, the ratio of boxes of socks to boxes of shoes will be expressed as amount of boxes of socks : amount of boxes of shoes.
amount of boxes of socks : amount of boxes of shoes = 26:57
26:57 = 26/57
26/57 ≈ 0.4561
Hence the ratio of boxes of socks to boxes of shoes is approximately 0.4561
• Cowes 5 dollars.
• D has 10 more dollars than E.
• F has 8 more dollars than E.
. E has no money and owes no money.
• A is the opposite of D.
• B has 4 dollars less than D.
(a) A =
(c) C =
(e) E-
(b) B =
(d) D =
(f) F =
A movie theater sends out a coupon for 90% off the price of a ticket. Write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket.
What is the distance between (8, -3)(8,−3)left parenthesis, 8, comma, minus, 3, right parenthesis and (4, -7)(4,−7)left parenthesis, 4, comma, minus, 7, right parenthesis? Choose 1 answer:
Answer:
5.6568 units
Step-by-step explanation:
Given the following points :
(8, - 3) and (4, - 7).
Find the distance between them.
(8, - 3) : x1 = 8, y1 = - 3
(4, - 7): x2 = 4, y2 = - 7
Distance (d) = √[(x2 - x1)² + (y2 - y1)²]
d = √[(4 - 8)² + (-7 - (-3))²]
d = √[(-4)² + (-7 +3)²]
d = √[16 + (-4)²]
d = √16 + 16
d = √32
d = 5.6568
d = 5.66 units