Answer:
A= l×l
= 13×13
A= 169
P= 4l
= 4×13
= 52
so the answer is C
Consider function f.
f(x) = square root of 7x – 21
Place the steps for finding f-1(x) in the correct order.
Answer:
f⁻¹(x) = 1/7x² + 3Step-by-step explanation:
Givenf(x) = [tex]\sqrt{7x-21}[/tex]To find Inverse of f(x)SolutionChange f(x) → x, and x → y, and solve for y:
x = [tex]\sqrt{7y -21}[/tex]x² = 7y - 217y = x² + 21y = 1/7x² + 3y = f⁻¹(x)
f⁻¹(x) = 1/7x² + 3Please help me I really need to turn this in !!!! Please
Answer:
Please check the explanation.
Step-by-step explanation:
Part a)
Given the table
Year Value ($)
1 18,000
2 15,300
3 13,005
Let us check the sequence
18000, 15300, 13005,...
Let us find the common ratio 'r' of all the adjacent terms to check whether the sequence represents the geometric sequence or not, using the formula such as:
[tex]\:r=\frac{a_{n+1}}{a_n}[/tex]
[tex]\frac{15300}{18000}=\frac{17}{20},\:\quad \frac{13005}{15300}=\frac{17}{20}[/tex]
As the ratio of all the adjacent terms is the same, so
[tex]r=\frac{17}{20}[/tex]
Therefore, the given sequence is a geometric sequence
Part b)
Given the sequence
18000, 15300, 13005,...
The nth term of the geometric sequence is
[tex]a_n=a_1\cdot r^{n-1}[/tex]
here
[tex]a_1=18000[/tex]
[tex]r=\frac{17}{20}[/tex]
so
[tex]a_n=18000\left(\frac{17}{20}\right)^{n-1}[/tex]
In order to determine the car worth in the 15th year, substitute n = 15
[tex]a_{15}=18000\left(\frac{17}{20}\right)^{15-1}[/tex]
[tex]a_{15}=18000\frac{17^{14}}{20^{14}}[/tex]
[tex]a_{15}=18000\times \:\:0.10276[/tex]
[tex]a_{15}=1850[/tex] $
Therefore, the worth of a car in the 15th year will be: $1850
Points (−7, 5) and (7, 5) on the coordinate grid below show the positions of two players of a football team:
A coordinate plane is shown. There is a point at 7, 5 labeled Player 2. There is a point at negative 7, 5 labeled Player 1.
Which statement best describes the relationship between the positions of the two players? (4 points)
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the x-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the y-coordinates of Player 1 and Player 2 are different.
Given:
Player 1 is at (-7,5).
Player 2 is at (7,5).
To find:
The relationship between the positions of the two players.
Solution:
The two points are (-7,5) and (7,5).
Here, x-coordinates are different but y-coordinates are same. The absolute values of x-coordinates are equal but the signs are different.
The transformation is defined as
[tex](x,y)\to (-x,y)[/tex]
It means, the points are mirror image of each other with respect to y-axis.
Player 1's position is Player 2's position reflected across the y-axis; only the signs of the x-coordinates of Player 1 and Player 2 are different.
Therefore, the correct option is C.
Use the coordinate grid to determine the coordinates of point A:
What are the coordinates of point A?
A ( fraction negative 1 and 1 over 4, fraction 3 over 4)
B ( fraction 1 and 1 over 4, fraction negative 3 over 4)
C( fraction negative 3 over 4, fraction 1 and 1 over 4)
D( fraction 3 over 4, fraction negative 1 and 1 over 4)
Answer:
A. (fraction negative 1 and 1 over 4, fraction 3 over 4)
Step-by-step explanation:
Coordinates of point A cam be represented as (x, y). That is where point A cam be traced from the x-axis is the value of x, while the y-value is the point we can trace from the y-axis side ways to point A.
So, Point A from the x-axis, we have x = -1¼, and from the y-axis, we have y = 3/4.
Coordinates of point A cam be written as:
(-1¼, ¾).
i need the answer asap and if u can give me answer to more questions pls text me
g = 1
Get variable onto one side of equation and simplify:
3g - 8 = g - 6
2g = 2
g = 1
PLEASE HELP I WILL MARK YOU BRAINLIST PLEASE THANK YOU
Answer:
it is c
Step-by-step explanation:
the lines are parallel to each other
What is the surface area of the right trapezoidal prism? To receive credit, you must show the work used to arrive at a final answer.
Answer:
210 cm²
Step-by-step explanation:
The net of the right trapezoidal prism consists of 2 trapezoid base and four rectangles.
Surface area of the trapezoidal prism = 2(area of trapezoid base) + area of the 4 rectangles
✔️Area of the 2 trapezoid bases:
Area = 2(½(a + b)×h)
Where,
a = 7 cm
b = 11 cm
h = 3 cm
Plug in the values
Area = 2(½(7 + 11)×3)
= (18 × 3)
Area of the 2 trapezoid bases = 54 cm²
✔️Area of Rectangle 1:
Length = 6 cm
Width = 3 cm
Area = 6 × 3 = 18 cm²
✔️Area of Rectangle 2:
Length = 7 cm
Width = 6 cm
Area = 7 × 6 = 42 cm²
✔️Area of Rectangle 3:
Length = 6 cm
Width = 5 cm
Area = 6 × 5 = 30 cm²
✔️Area of Rectangle 4:
Length = 11 cm
Width = 6 cm
Area = 11 × 6 = 66 cm²
✅Surface area of the trapezoidal prism = 54 + 18 + 42 + 30 + 66 = 210 cm²
Let $p$ and $q$ be the two distinct solutions to the equation $$(x-3)(x+3) = 21x - 63.$$
If $p > q$, what is the value of $p - q$?
Given:
p and q are the two distinct solutions to the equation
[tex](x-3)(x+3)=21x-63[/tex]
To find:
The value of p-q if p>q.
Solution:
We have,
[tex](x-3)(x+3)=21x-63[/tex]
[tex](x-3)(x+3)=21(x-3)[/tex]
[tex](x-3)(x+3)-21(x-3)=0[/tex]
[tex](x-3)(x+3-21)=0[/tex]
[tex](x-3)(x-18)=0[/tex]
Using zero product property, we get
[tex]x-3=0\text{ and }x-18=0[/tex]
[tex]x=3\text{ and }x=18[/tex]
Here, 18>3, so p=18 and q=3.
Now,
[tex]p-q=18-3[/tex]
[tex]p-q=12[/tex]
Therefore, the value of p-q is 12.
Answer:
The answer is 5, the "Expert Verified" is wrong :)
Step-by-step explanation:
First we try factoring the left side to simplify it. Now we can multiply both sides by (x+5)and solve.
Plz help with question
Answer:
1
Step-by-step explanation:
in an equilateral triangle all the sides are equal
1 1/2 x 4 1/4 = ?
PLZ ANSWER QUICKLY
What is the missing numbers to this equation please
? - (? × ?)=90
Answer:
-0(10 x 9)=90
What is 3/4 divided by 12?
Answer: 0.0625
Step-by-step explanation:
J(3x3- 5x2 + 3x + 4) dx
Charles has 24 marbles. He has 6 more yellow marbles than blue marbles.
Which equation represents this situation.
Answer:
24 + 6
Step-by-step explanation:
Mr. Rodriguez purchased 46 pencils to give to the students he tutors. He has 6 students that he tutors.
How many pencils will each student get if Mr. Rodriguez gives each one the same number of pencils?
Answer:
You have to divide 46 by 6. thats all I know sorry
Step-by-step explanation:
Each student gets 7 pencils.
What are mathematics operations?
A mathematical operation is a function that converts a set of zero or more input values (also called "b" or "arguments") into a defined output value. The number of operands determines the operation's arity. Most commonly studied operations are binary operations (i.e., operations of arity 2), such as addition and multiplication, and unary operations (i.e., operations of arity 1), such as additive and multiplicative inverses.
• Zero-arity operations, or nullary operations, are constants, and mixed products are arity three operations, or ternary operations.
Here, it is given that :
Mr. Rodriguez purchased 46 pencils to give to the students he tutors
and number of students = 6
Therefore, to find number of pencils each student get we divide 46 with 6 :
pencils will each student get = 46/6
pencils will each student get ≈ 7
as each student get equal number of pencils then 4 pencils are left with Mr. Rodriguez after giving 42 pencils to the students.
Therefore, each student gets 7 pencils.
Read more about mathematics operations at:
https://brainly.com/question/1512595
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solve the equations 7(x+4)=21
iready
Step-by-step explanation:
[tex]\bullet\hookrightarrow\sf 7 (x+4)=21 [/tex]
[tex]\bullet\Rrightarrow\sf 7x+28=21 [/tex]
[tex]\bullet\rightarrowtail\sf 7x=21-28 [/tex]
[tex]\bullet\twoheadrightarrow\sf 7x=-7 [/tex]
[tex]\bullet\looparrowright\sf x=\dfrac{-7}{7}[/tex]
[tex]\bullet\rightharpoonup\sf x=-1 [/tex]
What is the value of x in x+y=-10 and x-y=2
Answer:
x = -4
Step-by-step explanation:
x+y = -10 -------- (1)
x-y = 2 ------- (2)
from (1)
x+y = -10
y = -10-x -------- (3)
substitute (3) into (2)
x-y = 2
x-(-10-x) = 2
x+10+x = 2
2x = 2-10
2x = -8
x = -8/2
x = -4
Multiply. Write in simplest form. 2 1/2 x 1 1/2
Answer:
3.75 or 3 3/4
Step-by-step explanation:
Answer:
3.75 or 3 3/4
Step-by-step explanation:
2 1/2 or 2.5 x 1 1/2 or 1.5 is 3 3/4 or 3.75
Hope it helps!
2+2+2+2+2+2+2+2+2
I know the answer just want to be nice and give someone brainlest cAuse never did before
Answer:
18
Step-by-step explanation:
Thanks! Have a great day!
What is the slope of
y = -5x + 14
Answer:
0
Step-by-step explanation:
Answer:
-5
Step-by-step explanation:
y=-5x+14 is in the form of y=mx+b.
m is the slope and b is the y-intercept.
So m = -5 and -5 is the slope
I need help with like 3 or 4 questions please help
Answer:
x=3y-6
Step-by-step explanation:
x−3y=−6
Step 1: Add 3y to both sides.
x−3y+3y=−6+3y
x=3y−6
Answer:
x=3y−6
Luis is buying flour for his bakery, and he buys 8 sacks of flour for $25.75 each. He also has to pay $36.50 for delivery. How much is Luis paying in total for his flour order? (pls help this is a test)
Please I need this ASAP
Answer:
Step-by-step explanation:
Where is Ac leath
Answer:
26 cm
Step-by-step explanation:
just use Pythagoras theorem
c2 = a2 + b2
c2 = [tex]10^{2}[/tex] + [tex]24^{2}[/tex]
c2 = 100 + 576
c2 = 676
shift the square to the other side and it becomes a square root
c = [tex]\sqrt{676}[/tex]
c = 26
AC = 26 cm.
Help me with math question please, will give 20 points
in step 2 he made his first mistake
1/2(n-4)-3=3-(2n+3)
1/2n-4/2-3=3-(2n+3)
1/2n-2-3=3-(2n+3)
in the second step he put 5 instead of 2.
Simplest form of -1 5/8 divided by 5 8/9
Answer:
the answer is -117/424, hope this helps :)
Please give me the correct answer
Because here there are 5 zeroes so 0.00003 can be written as 3/100000 , here 100000 = 10⁵ . Now , 3/10⁵ → 3 × 1/10⁵ → 3 × 10-⁵
Hence , 0.00003 = 3 × 10-⁵ . So it is -5
The graph of function g is a parabola with the vertex located at (5,9). The parabola also passes through the point (3, 1). Which of the following is an
equation in vertex form for this function?
I just did this the answer is C. g(x) = –2(x – 5)2 + 9
The required function is [tex]g(x)=-2(x-5)^2+9[/tex].
Important information:
Vertex of parabola is at (5,9).Parabola passes through the point (3,1).We need to find the equation in vertex form for the function g.
Parabola:The vertex form of a parabola is:
[tex]g(x)=a(x-h)^2+k[/tex] ...(i)
Where, [tex]a[/tex] is a constant and [tex](h,k)[/tex] is the vertex.
Substitute [tex]h=5,k=9[/tex] in (i).
[tex]g(x)=a(x-5)^2+9[/tex] ...(ii)
Parabola passes through the point (3,1). So, substitute [tex]x=3,g(x)=1[/tex] in (ii).
[tex]1=a(3-5)^2+9[/tex]
[tex]1-9=a(-2)^2[/tex]
[tex]-8=4a[/tex]
[tex]-2=a[/tex]
Substitute [tex]a=-2[/tex] in (ii).
[tex]g(x)=-2(x-5)^2+9[/tex]
Thus, the required function is [tex]g(x)=-2(x-5)^2+9[/tex].
Find out more about 'parabola' here:
https://brainly.com/question/15165354
1 4/7
_______
- 15/ 21
Answer: -11/5
Step-by-step explanation:
[tex]\frac{11}{7}[/tex]÷[tex]\frac{-15}{21}[/tex]
-[tex]\frac{11}{7}[/tex]× [tex]\frac{21}{15}[/tex]
-11×[tex]\frac{3}{15}[/tex]
-11 × [tex]\frac{1}{5}[/tex]
Find the value of the expression. 12 - (-13) + (-1)
Answer:
24
Step-by-step explanation:
Answer:
The value is equvilant to 24
12−(−13)−1
=24
The problem was already simplified-
Oh and try using this website called math papa its an algebra calculator it really helps and it even shows you the step by step process!
Select the correct answer.
The table shows the balance of an investment account at the beginning of each year the account was held. Assuming no other deposits have been
made to the account, which statement describes the account's growth?
Year 1- $1,200.00
Year 2- $1,260.00
Year 3- $1,323.00
Year 4- $1,389.15
A.
The account is growing exponentially at an annual interest rate of 10.25%.
B.
The account is growing linearly at an annual interest rate of 5.00%
C.
The account is growing exponentially at an annual interest rate of 5.00%.
D.
The account is growing linearly at an annual interest rate of 10.25%.
E.
The account is growing exponentially at an annual interest rate of 15.76%.
Does anyone happen to understand this? I don’t get it?
Answer: 2 aka B
Step-by-step explanation: the answers B :)