Answer:
Multiply By 6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
The common ratio is 6 ie dividing the second term by the first term or the third term by the second term ie
24 ÷ 4 = 6
144 ÷ 24 = 6
And so on....
a wire 10cm long is cut into two pieces, one of length x and the other of length 10-x. Each piece is bent into the shape of square. find the value of x that minimizes the total rea of the two squres
Answer:
The value of x that minimizes the total area of the two squares is x = 5.
Step-by-step explanation:
A wire 10 centimeters long is cut into two pieces, with one piece measuring x centimeters and the other (10 - x) centimeters.
Each piece is bend into the shape of a square, and we want to find the value of x that minimizes the total area of the two squares.
If x is bend into a square with four equivalent sides, then each side measure:
[tex]\displaystyle A = \frac{x}{4}[/tex]
Likewise, each side of the second square will measure:
[tex]\displaystyle A = \frac{10-x}{4}[/tex]
The area of a square is its side squared. Hence, the area of both squares will be given by:
[tex]\displaystyle T = \left( \frac{x}{4}\right) ^2 + \left(\frac{10-x}{4}\right)^2[/tex]
Simplify:
[tex]\displaystyle \begin{aligned} T &= \frac{x^2}{16} + \frac{x^2 - 20x + 100}{16} \\ \\ &=\frac{2x^2-20x+100}{16}\\ \\ &= \frac{1}{8}x^2-\frac{5}{4}x+\frac{25}{4} \end{aligned}[/tex]
Since this is a quadratic with a positive leading coefficient, the minimum value will occur at the vertex point.
Recall that the x-coordinate of the vertex is given by:
[tex]\displaystyle x = -\frac{b}{2a}[/tex]
In this case, a = 1/8 and b = - 5/4. Hence:
[tex]\displaystyle x = -\frac{\left(-\dfrac{5}{4}\right)}{2\left(\dfrac{1}{8}\right)} = 5[/tex]
In conclusion, the value of x that minimizes the total area of the two squares is x = 5.
Rachel’s free-throw average for basketball is 60%. How many times do you think she will make a free-throw in her next 50 tries?
Answer:
Rachel will make 30 free-throws!
Step-by-step explanation:
Hello!
I came up with this solution with some easy mental math! If you weren't aware, 60% of 50 is a whole number! Meaning that 60% of 50 is 30. You could even double 50 to make it 100, everyone knows that dealing with percentages with the number 100 make them a whole lot easier!
Back to what I was saying, if you used 100, you would also have to take 60% of 100, which is 60. And then have to divide 60 by 2 because you doubled the 50! Giving you 30 free-throws, which is the correct answer!
Hope this helped! Let me know if you have any further questions! :)
X : X E Z,-5< X < 2 in tabular form would be?
Step-by-step explanation:
X={-4,-3,-2,-1,0,1}
Write integers which are greater than -5 but less than 2.
Note:if you need to ask any question please let me know.
need help please cant understand this probplem
Answer:
No solution
Step-by-step explanation:
Distribute the right side of the equation.
This will make it 3/8f+1/2=3/8f - 18
And, since 3/8f plus 1/2 will never equal the same thing as 3/8f minus 18, there are no solutions
Answer and Step-by-step explanation:
First, distribute the 6 to the [tex]\frac{1}{16} f[/tex] and -3.
[tex]\frac{3}{8} f + \frac{1}{2} = \frac{6}{16} f - 18\\\\\frac{3}{8} f + \frac{1}{2} = \frac{3}{8} f - 18[/tex]
If you were to subtract [tex]\frac{3}{8} f[/tex] from both sides of the equation, you would be left with [tex]\frac{1}{2} = -18[/tex], which isn't correct.
This means that there are NO solutions to this equation, or no value of f that will make both sides of the equation equal to each other.
#teamtrees #PAW (Plant And Water)
I hope this helps!
9 is multiplied by the cube of a number
Answer:
[tex] 9\times {y}^{3} [/tex]
this should be
[tex]9 {y}^{3} [/tex]
The expression for 9 is multiplied by the cube of a number will be 9X³.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that 9 is multiplied by the cube of a number. The expression can be written by assuming that the number is x.
Expression = 9 x Cube of a number
Expression = 9 x ( X )³
Expression = 9X³
Therefore, the expression for 9 multiplied by the cube of a number will be 9X³.
The complete question is given below:-
9 is multiplied by the cube of a number then write an expression for that.
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if f(x) =7x+5/3-x, then show that fof power -1(x) is an identity function
If f(X)= 7x +5/3 - x =6x +5/3
y= 6x +5/3
6x= y-5/3
f^-1(y)=x=(y-5/3)/6
So we can write
f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y
The same result can be obtained for f^-1(f(x))=x
If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)
What is the total number of common tangents that can be drawn to the circles?
A. 1
B. 0
C. 2
D. 3
Answer:
B. 0
Step-by-step explanation:
The circles do not intersect, tangents require intersection
Answer:
B.) 0
Step-by-step explanation:
I got it correct on founders edtell
Pls help me I would appreciate it :]
Step-by-step explanation:
3(5)+5÷4
15+5÷4
20÷4
5 Answer
Answer:
16.25
Step-by-step explanation:
Let x = 5. Substitute the value for the variable.
3(5) + 5 ÷ 4
15 + 5 ÷ 4
15 + 1.25
16.25
Is (2,3),(4,7),(1,-3),(5,7),(-2,8) a function? Please help
Answer:
Yes, this is a function.
Step-by-step explanation:
Every input has its own unique output (no x number goes to more than one y number).
A cookie company expanded its standard package of 36 cookies to include 4 extra cookies of a brand new flavor. If all of the cookies from an expanded package were put in a container and one were selected at random, what is the probability that it will be a cookie of the new flavor?
Answer:
1/9 probability
Step-by-step explanation:
The total cookies are 36 and the new flavors are 4, if you simplify 4/36, it equals 1/9
A number is considered "blue" if the sum of its digits is equal to the product of its digits. Which of the following
is "blue"?
Answer:
gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc
Answer:
212205
Step-by-step explanation:
Well each letter is a number of a alaphabet
can any one solve this problem
Answer:
sorry i can't
please mark me as brainlest
Select all the expressions that are equivalent to 3^2 · 3 ^(-6)
Answer:
[tex] {3}^{2} \times {3}^{ - 6} \\ = {3}^{2 + ( - 6)} \\ = {3}^{2 - 6} \\ = {3}^{ - 4} [/tex]
A simple pulley with the give radius 4 in used to lift heavy objects is positioned 10 feet above ground level. Given that the pully rotates 720 degrees determine the height yo which the object is lifted.
9514 1404 393
Answer:
50.3 inches
Step-by-step explanation:
720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...
C = 2πr
C = 2π(4 in) = 8π in
Then 2 times that is ...
height lifted = 2(8π in) = 16π in ≈ 50.3 in
The object was lifted about 50.3 inches.
the point (-1,0.5) lies on the graph of f^-1(x)=2^x based on this information, which point lies on the graph of f(x)=log2x
Answer:
(-1,0.5)...
the inverse "f^-1" of an exponential function is BY DEFINITION the "Log" function
Step-by-step explanation:
HELP! 25 minus 6 times a number increased by 3 times the same number is -56
Write equation and solve.
Answer:
25 - (6 x y) + (3 x y) = -56, y = 3.44
Step-by-step explanation:
-56 + 25 = 31, 6y + 3y = 9y, 31 = 9y, 31 / 9 = 3.44
it's a repeating number so uh yeah
y = 3.44
Suppose that g(x) = f(x) + 5. Which statement best compares the graph of
g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) shifted 5 units down.
B. The graph of g(x) is the graph of f(x) shifted 5 units up.
C. The graph of g(x) is the graph of f(x) shifted 5 units to the right.
О
D. The graph of g(x) is the graph of f(x) shifted 5 units to the left.
Answer:
B
Step-by-step explanation:
The correct statement is, the graph of g(x) is the graph of f(x) shifted 5 units up.
What is vertical shifting?In geometry, a vertical shift otherwise known as vertical translation, is a translation of a geometric object in a direction parallel to the vertical axis of the Cartesian coordinate system. In simpler terms, it is a shift in which a plane figure moves vertically.
Given that g(x) = f(x) + 5. We need to find that which statement best compares the graph of g(x) with the graph of f(x),
So,
If f is any function of x, then the graph of the function f(x) + c, may be obtained by a vertical translation of the graph of f(x) by distance c.
For this reason, the function f(x) + c is sometimes called a vertical translate of f(x).
Hence, the correct statement is, the graph of g(x) is the graph of f(x) shifted 5 units up.
Learn more about vertical shifting click;
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what is 5.08 centameters converted to inchies
Answer:
It's two inches
Can someone please help me on this, I do not understand
Answer:
Think u have to find out what the x means and go from there
45. Real Estate Appreciation Bob Michaels purchased a
house 8 years ago for $42,000. This year it was appraised at
$67,500.
(a) A linear equation V = mt + b, 0
the value V of the house for 15 years after it was pur-
chased. Determine m and b.
(b) Graph the equation and trace to estimate in how many years
after purchase this house will be worth $72,500.
(c) Write and solve an equation algebraically to determine
how many years after purchase this house will be worth
$74,000.
(d) Determine how many years after purchase this house will
be worth $80,250.
19
Answer:
a)
Since t is between 0 and 15, and the house was purchased 8 years ago, we have two pairs of values:
t = 0, V(0) = 42000t = 8, V(8) = 67500Find the slope, m:
m = (67500 - 42000)/8 = 3187.50The value of b is 42000, since at t = 0, V = 42000
So the equation is:
V = 3187.50t + 42000b)
The graph is attached.
When V = 72500, t = 9.6 (approximately)
c)
When V = 74000
74000 = 3187.5t + 420003187.5t = 32000t = 32000/3187.5t ≈ 10 years (rounded down)d)
When V = 80250
80250 = 3187.5t + 420003187.5t = 80250 - 420003187.5t = 38250t = 38250/3187.5t = 12 yearsHow many pumps will it take to fill the giant soccer ball.
A farm has fruit trees planted in rows. There are 6 fruit trees in the first row, and each additional row has 3
more fruit trees than the row before it. If there are 18 rows of fruit trees, how many fruit trees are there on
the farm?
O 324
O 426
O 456
O 567
Answer:
567
Step-by-step explanation:
It is going to be arithmetical sequence, a1=6
d=3, n=18
Sn= (2a1+d(n-1))/2*n= (2*6+3*17)/2*18= 63*9=567
The arrangement of fruits trees in the farm is modeled after an arithmetic progression, thus, there are 567 fruit trees in the farm.
What is the number fruit tress in the farm?The number of fruits trees in the farm represents an arithmetic progression as each row of trees in the farm increases by 3 more than the one after it.
The number of trees is calculated using the arithmetic formula as follows:
[tex]S_n = \frac{2a + d(n - 1)}{2}× n[/tex]
where
a = 6, n = 18; d = 3Substituting the values
[tex]S_n = \frac{2 \times 6 + 3(18 - 1)}{2}× 18 = 567[/tex]
Therefore, there are 567 fruit trees in the farm.
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if f(x)=9-4x^2 Find
a) f(-2)
b) f(-3) f(3)
c) x such that f(x) = 0
Answer:
see explanation
Step-by-step explanation:
(a)
To evaluate f(- 2) substitute x = - 2 into f(x) , that is
f(- 2) = 9 - 4(- 2)² = 9 - 4(4) = 9 - 16 = - 7
(b)
Similarly substitute x = - 3 and x = 3 into f(x)
f(- 3) = 9 - 4(- 3)² = 9 - 4(9) = 9 - 36 = - 27
f(3) = 9 - 4(3)² = 9 - 4(9) = 9 - 36 = - 27
(c)
let f(x) = 0 , then
9 - 4x² = 0 ( add 4x² to both sides )
9 = 4x² ( divide both sides by 4 )
[tex]\frac{9}{4}[/tex] = x² ( take the square root of both sides )
± [tex]\sqrt{\frac{9}{4} }[/tex] = x
± [tex]\frac{\sqrt{9} }{\sqrt{4} }[/tex] = x
± [tex]\frac{3}{2}[/tex] = x
That is x = - [tex]\frac{3}{2}[/tex] or x = [tex]\frac{3}{2}[/tex]
How can the graph of f(x) = 1/(- x) - 9 be obtained from the graph of y = 1/x
Answer:
hsjjsjsjjsjjdjjsnnsjsj
factorisation
[tex] {x}^{3} - x[/tex]
Step-by-step explanation:
x³-x
by taking out common term, we get
x(x²-1)
Now, by using the formula of a²-b², we get
x(x²-1²)
x(x+1)(x-1)
I hope it helped U
stay safe stay happy
Answer:
[tex] {x}^{3} - x = x(x + 1)(x - 1)[/tex]
I hope I helped you^_^
Solve the compound inequality.
3 > 2x or x - 4 > 2
x <
or x >
Answer:
so our x is <
less than
explanation: 3>2x= 1.5<x
x- 4>2 =6<x
What is 1/2(x+14) because i am having trouble solving it and no calculator has been able to help me also.
Hi there!
»»————- ★ ————-««
I believe your answer is:
[tex]\frac{1}{2}x+7[/tex]
»»————- ★ ————-««
Here’s why:
⸻⸻⸻⸻
[tex]\boxed{\text{Simplifying the equation...}}\\\\\frac{1}{2}(x+14)\\------------\\\rightarrow \frac{1}{2}*x = \frac{1}{2}x\\\\\rightarrow\frac{1}{2}*14=7\\\\\rightarrow \frac{1}{2}(x+14)= \boxed{\frac{1}{2}x+7}[/tex]
⸻⸻⸻⸻
»»————- ★ ————-««
Hope this helps you. I apologize if it’s incorrect.
2x(5-x)+3x^2
shown work please
[tex]\\ \rm\Rrightarrow 2x(5-x)+3x^2[/tex]
[tex]\\ \rm\Rrightarrow 10x-2x^2+3x^2[/tex]
[tex]\\ \rm\Rrightarrow 10x+(-2+3)x^2[/tex]
[tex]\\ \rm\Rrightarrow 10x+x^2[/tex]
[tex]\\ \rm\Rrightarrow x^2+10[/tex]
Simplify: 2(a-4)+15=13
Answer:
a = 3
Step-by-step explanation:
2(a−4)+15=132
a−8+15=132
a=13−15+82
a=6
a=6/2
a=3
6K x 1/6
K is just k
6k · 1/6 = 6/6k = k
.......
Step-by-step explanation:
hopefully it is clear and understandable
:)