Answer:
x=10
Step-by-step explanation:
according to the question
(x+2)(x-2)=96
=>x^2-4=96
=>x^2=96+4
=>x^2=100
=>x=√100
Therefore
x=10
x=-10
As width and length can't be negative
So x=10
Width=10-2=8
Length=10+2=12
12×8=96 (proven)
Answer:
Please check the explanation.
Step-by-step explanation:
As we know that the area of a rectangle is defined by multiplying the length by the width.
[tex]A=l\times w[/tex]Given
rectangular frame length = l = (x+2) unitsrectangular frame width = w = (x-2) unitsArea = 96 square unitssubstituting all the given values in the formula to find the value of x.
[tex]A=l\times w[/tex]
[tex]96=\left(x+2\right)\times \left(x-2\right)[/tex]
[tex]96=x^2-4[/tex]
[tex]x^2-4=96[/tex]
subtract 96 from both sides
[tex]x^2-4-96=96-96[/tex]
[tex]x^2-100=0[/tex]
[tex]x^2=100[/tex]
[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]
[tex]x=\sqrt{100},\:x=-\sqrt{100}[/tex]
[tex]x=10,\:x=-10[/tex]
Putting x = -10 in the length and width will make the length and width negative, which can not be possible.
i.e.
length = l = x+2 = -10+2 = -8 units
width = w = x-2 = -10-2 = -12 units
Therefore, x=-10 must be excluded.
Now, putting the length of x = 10.
i.e.
length = l = 10+2 = 10+2 = 12 units
width = w = x-2 = 10-2 = 8
[tex]A=l\times w[/tex]
96 = 12 × 8
96 = 96
Therefore, the correct value of x = 10
General admission to Paul’s Pumpkin Patch is $8.00. For children to ride the various rides, they must use tickets that cost $1.00 each. The number of tickets needed for each ride varies. The function for this situation is P(x) = x + 8, where P(x) represents total cost as a function of the number of tickets, x. What is the domain for visiting and riding rides at Paul’s Pumpkin Patch? A. P(x) ≥ $8.00 B. x is all real numbers C. x ≥ 0, where x is non-negative D. x ≥ 0, x is an integer
Answer:
x ≥ 0, x is an integer
Step-by-step explanation:
Cost of general admission = $8
Cost of 1 ticket = $1
Cost of x tickets = x
So, Total cost for x tickets = x+8
We are given that P(x) represents total cost as a function of the number of tickets, x
So, P(x)=x+8
Since cost cannot be negative
So, Domain for visiting and riding rides at Paul’s Pumpkin Patch is x ≥ 0, x is an integer
So, Option D is true.
x ≥ 0, x is an integer
Determine if ƒ(x) = –x3 – x4 – 9 + 6x is a polynomial function. If it is, state the degree and the leading coefficient. If not, state why.
Answer:
The given function is a polynomial function.
The degree of the function is 4 and leading co-efficient is -1.
Step-by-step explanation:
Given function is:
ƒ(x) = –x^3 – x^4 – 9 + 6x
Putting the terms in order of their power.
[tex]f(x) = -x^4-x^3+6x-9[/tex]
A polynomial is an algebraic expression which involves only positive integer exponents for the variables.
A polynomial function is of the form:
[tex]p(x) = a_nx_n+a_{n-1}x^{n-1}+a_{n-2}x^{n-2}........ a_0[/tex]
We can see that the function has no negative exponent. So the given function is a polynomial function.
The degree of a polynomial is the highest exponent of variable involved and leading co-efficient is the co-efficient of the variable with highest power.
Hence,
The given function is a polynomial function.
The degree of the function is 4 and leading co-efficient is -1.
I dont need the work, just the answers :)
A student is trying to find the density of a cube each side of the cube measures 4 cm and the mass is 503.68 g. Calculate the density.
Answer:
density = mass ÷ volume
v = 4 × 4 ×4 = 64
density = 503 .68 g ÷ 64 cm³
density = 7.87 g/cm³
solve for h
h/6 - 1 = -3
Solve for theta (in degrees)
A = 11 , B = 23
Answer:
25.559 degrees truncated
Step-by-step explanation:
There are many ways of solving this problem. The way I went about doing it was taking the inverse tangent of 11/23, to get 25.559 degrees.
Find the area of the rectangle.
1
m
3
5
m
6
m
Someone help ASAP I will give Brainly !!!!!!!!!
x² - 4x + 24
factor this
Answer:
Step-by-step explanation:
Function f(x) = x² - 4x + 24 does not have roots in set of real numbers.
this is due soon plz help
Answer:
tre made an error when adding or subtracting. the answer is 05
Simplifying
3.57x + 1.61 = 4.71 + -2.63x
Reorder the terms:
1.61 + 3.57x = 4.71 + -2.63x
Solving
1.61 + 3.57x = 4.71 + -2.63x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '2.63x' to each side of the equation.
1.61 + 3.57x + 2.63x = 4.71 + -2.63x + 2.63x
Combine like terms: 3.57x + 2.63x = 6.2x
1.61 + 6.2x = 4.71 + -2.63x + 2.63x
Combine like terms: -2.63x + 2.63x = 0.00
1.61 + 6.2x = 4.71 + 0.00
1.61 + 6.2x = 4.71
Add '-1.61' to each side of the equation.
1.61 + -1.61 + 6.2x = 4.71 + -1.61
Combine like terms: 1.61 + -1.61 = 0.00
0.00 + 6.2x = 4.71 + -1.61
6.2x = 4.71 + -1.61
Combine like terms: 4.71 + -1.61 = 3.1
6.2x = 3.1
Divide each side by '6.2'.
x = 0.5
Simplifying
x = 0.5
In the number 1,846, the ___ is in the tens place and the ___ is in the hundreds place
a waffle recipe calls for 2 1/4 cups of flour. if Chun wants to make 1 1/2 times the recipe, how much flour does he need?
HELP ME
solve for X
Answer:
203/11x
Step-by-explanation: I am soo very sorry gave you the wrong answer before but going over it I see it is 203/11x
Mutiples of 4 and 6??
HELP
Answer:
12,24,32.....
Step-by-step explanation:
4x3=12 6x2=12
What is 1 2/3 equal to
What is 6 3/4 equal to
What is -9 7/3 equal to
What is 4 2/7 equal too
Answer:
1 2/3 = 5/3
6 3/4 = 27/4
-9 7/3 = -34/3
4 2/7 = 30/7
Step-by-step explanation:
The hardcover version of a book weighs twice as much as its paperback version. The hardcover book and the paperback together weigh 4.2 pounds. Which system of equations can be used to find h, the weight of the hardcover book, and p, the weight of the paperback?
h = p − 4.2
h = 2p
h = 4.2 − p
p = 2h
h = p − 4.2
p = 2h
h = 4.2 − p
h = 2p
Answer:
the correct option id D.
h = 4.2 − p
h = 2p
The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,
⇒ h = 2p
⇒ h = 4.2 - p
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The hardcover version of a book weighs twice as much as its paperback version.
And, The hardcover book and the paperback together weigh 4.2 pounds.
Now,
Let the hardcover book weight = h
And, the paperback together weigh = p
Hence. We get;
h + p = 4.2
h = 4.2 - p
And, The hardcover version of a book weighs twice as much as its paperback version.
Hence, We get;
⇒ h = 2p
Thus, The correct equation which can be used to find h, the weight of the hardcover book, and p, the weight of the paperback is,
⇒ h = 2p
⇒ h = 4.2 - p
Learn more about the mathematical expression visit:
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Write an equation for the line in the given form.
slope is 5 and (-4, 8) is on the line; point-slope form
Answer:
Y =5x + 12
Step-by-step explanation:
You start with
y-8=5x(x+4)
y=5x+ 12
Cost of Apples
1 pound of apple is $1.88
if this is a proportional relationship, write an equation relating the weight of the apples (a) to cost (c). If it is not a proportional relationship?
Answer:
Before 1845, “states were allowed to hold elections any time they pleased within a 34-day period before the first Wednesday in December.” What was one effect of this election system?
Voters in states with late elections knew the results of early elections.
Farmers were often unable to get to their polling place in time to vote.
The people who voted first could decide the outcome of most elections.
People spent less time in church because they would often travel to vote on Sundays.
Step-by-step explanation:
what is the greatest common factor of 55+35
Answer:
5
Step-by-step explanation:
12y=5x-15
4.2y+6.1x=11
Round to the nearest hundredth.
X=
Y=
Answer:
-15 and 11
Step-by-step explanation:
How many of you guys think Into The Night by Bath & Body Works smells like men's cologne?
Answer:
It smells soooo good, I love it, but sadly i am not allowed to get it XD
Step-by-step explanation:
Answer:
KIND OF BUT THE BEST ONE IS WARM VANILLA SUGAR AND GLOW I THINK AND VELVET SUGAR I HOOKED YOU UP
Step-by-step explanation:
Joan Deere sells tractor parts. she gets a base salary of $1255 per month
plus a commission of 8.5% of any sales greater than $10000. She sold $15000 in parts last month. (She only gets commission on the money greater than $10000), How much was her monthly check for?
Answer:
$1361.68
Step-by-step explanation:
15000 > 10000
so she gets the 8.5%
so she gets 108.5% of her salary
x/1255 = 108.5/100
1255(108.5) = 136,167.5
136,167.5/100 = 1361.68
the first four numbers in a pattern are 4, 2, 1, and 0.5. Find the next three numbers in the pattern.
Given:
The first four numbers in a pattern are 4, 2, 1, and 0.5.
To find:
The next three numbers in the pattern.
Solution:
We have a pattern,
4, 2, 1, 0.5
Clearly, it is a GP and the common ratio is [tex]\dfrac{1}{2}[/tex] because each term is half of its preceding term.
Next term after 0.5 = [tex]0.5\times \dfrac{1}{2}=0.25[/tex]
Next term after 0.25 = [tex]0.25\times \dfrac{1}{2}=0.125[/tex]
Next term after 0.125 = [tex]0.125\times \dfrac{1}{2}=0.0625[/tex]
Therefore, the next three numbers in the pattern are 0.25, 0.125 and 0.0625 respectively.
Simplify:
4a - (-3b) + (-2c)
Answer: 4a+3b-2c
this is the answer
solve 4 x 9.4 using distributive property. show your work
so it basically 36.16
Step-by-step explanation:
4x9=36
4x4=16
36.16
Based on the graphs, which statement is true?
PLEASE HELPP
15 points:/!?!
Answer:
I think b
Step-by-step explanation:
A rectangle has an area of 20 square centimeters. Which of the following could be the rectangle’s length and width?
Answer:
You did not give any options
Step-by-step explanation:
But 20 and 1 or 4 and 5 or 2 and 10 could possibly be the rectangle's length and width.
All but the first answer choice could be the length and width of a rectangle.
What is the area of the rectangle?The area of the rectangle is the product of the length and width of a given rectangle.
The area of the rectangle = length × Width
A rectangle has an area of 20 square centimeters.
WE know that The area of the rectangle = length × Width
3 cm and 8 cm = 24 cm^2
This cannot be area of the given reactangle.
1 cm and 20 cm = 20 cm^2.
This is the area of the given reactangle.
2 cm and 10 cm => 20 cm^2
This is the area of the given reactangle.
4 cm and 5 cm => 20 cm^2.
This is the area of the given reactangle.
All but the first answer choice could be the length and width of a rectangle.
The complete question is
Which of the following could be the rectangle’s length and width?
1. 3 cm and 8 cm = 24 cm^2
2. 1 cm and 20 cm = 20 cm^2.
3. 2 cm and 10 cm => 20 cm^2
4. 4 cm and 5 cm => 20 cm^2.
Learn more about the area;
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Please help asap I will give Brainly points
Answer:
I will try to help but where us ur question ¿
Write in expanded form.
Answer:
a²*b² /c*d
Step-by-step explanation:
A bell tower that is 60 yards tall casts a shadow 32 yards long. If a nearby windmill is
45 yards tall, how long will the windmill's shadow be?
Write your answer as a whole number or a decimal. Do not round.
Answer:
24 yards long
Step-by-step explanation:
60/32 = 45/x
Cross Multiply:
60x = 1440
Divide both sides by 60.
x = 24 yards
Given the function: f(x) = 7x + 8.
Find the value of y when x = -6.
Answer:
-34
Step-by-step explanation:
7x + 8
7(-6)+8
-42+8
-34
Have a beautiful day! v(⌒o⌒)v