Answer:
1)[tex]x^2+x-12=0[/tex]
2)[tex]x^2+8x-20=0[/tex]
3)[tex]x^2+0.9x-0.36=0[/tex]
4)[tex]2x^2-6x-36=0[/tex]
5)[tex]x^2-5x-84=0[/tex]
Step-by-step explanation:
1) The length of a wooden frame is 1 foot longer than its width and its area is equal to 12 sq. ft.
Let the width be x
We are given that length of a wooden frame is 1 foot longer than its width
So, Length = x+1
Area of rectangular frame =[tex]Length \times Breadth = x(x+1)[/tex]
ATQ
x(x+1)=12
[tex]x^2+x-12=0[/tex]
2)The length of the floor is 8 m longer than its width and there is 20 square meters.
Let the width be x
We are given that length of the floor is 8 m longer than its width
So, Length = x+8
Area of floor= [tex]Length \times Breadth = x(x+8)[/tex]
ATQ
x(x+8)=20
[tex]x^2+8x-20=0[/tex]
3)The length of a plywood is 0.9 m more than its width and its area is 0.36 m2.
Let the width be x
We are given that length of a plywood is 0.9 m more than its width
So, Length = x+0.9
Area of plywood=[tex]Length \times Breadth = x(x+0.9)[/tex]
ATQ
x(x+0.9)=0.36
[tex]x^2+0.9x-0.36=0[/tex]
4)The area of rectangle whose length is six less than twice its width is thirty-six
Let the width be x
We are given that length is six less than twice its width
So, Length = 2x-6
Area of rectangle = Length \times Breadth = x(2x-6)
ATQ
x(2x-6)=36
[tex]2x^2-6x-36=0[/tex]
5)The width of a rectangular plot is 5 m less than its length and its area is 84 m2.
Let the length be x
Width = x-5
Area =[tex]Length \times Breadth = x(x-5)[/tex]
ATQ
x(x-5)=84
[tex]x^2-5x-84=0[/tex]
Find the slope when given the two points (-7, 4) and (-14, 3) a 7 b -1/7 c 1/7 d -7
Answer:
c
Step-by-step explanation:
because slope formula is
y1-y2/x1-x2 and 4-3 is 1 and -7- -14 which turns into -7 + +14 equals 7 so 1/7
Aiden has c pieces of candy. He gives away 72 of the pieces. Choose the expression that shows the number of pieces of candy Aiden has left.
Answer:
C= c - 72
Step-by-step explanation:I think, I have not done this a looooooong time. so I'm probably wrong.
Please answer this for me
-1 x f(-8) - 4 x g(4)
Answer:
=8fx−16gx
Step-by-step explanation:
What is the y-intercept of the graph shown?
A)3
B)-5/2
C)1
D)5/2
Answer:
A
Step-by-step explanation:
A dot has a x - intercept and a y - intercept.
When looking for a y - intercept, you look at the y line in the graph. Where does the graph cross it?
The answer (in this case) is 3, because it's right in the middle between 2 and 4
Help!!! What is Find the product of –35 • (–1.5)???
Answer:
52.5
Step-by-step explanation:
Two negatives make a positive so the answer is 52.5
Keiala drives 324 miles in 4 hours. How many miles does she drive each hour?
She drove an average of 81 miles per hour.
324/4 = 81
Can anyone see now?
I really need help
Please help thanks I appreciate it .
Find the root of 5x-20=0
Answer:
x=4
Step-by-step explanation:
5x-20=0
+20 +20
5x=20
5 5
x=4
Add 20 to both sides cancelling out the left side.
Than you divide 5 leaving the x on one side and 20 over 5 which is 4
Which of the following would be equivalent to
113
117
117
O 11. 114
115
011
9514 1404 393
Answer:
11·11^4
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
a = a^1
(a^b)/(a^c) = a^(b-c)
a^0 = 1 . . . . for any 'a' not 0
__
The given expression is ...
(11^8)/(11^3) = 11^(8-3) = 11^5
The offered choices are ...
(11^7)/(11^7) = 11^(7-7) = 11^0 = 1
11·11^4 = (11^1)(11^4) = 11^(1+4) = 11^5 . . . . matches the given expression
(11^0)/(11^5) = 11^(0-5) = 11^-5
11^0 = 1
What is the value of the expression 12 x (-1.6)
Answer: -19.2
Step-by-step explanation:
please help. you don’t have to give me a explanation. it’s fine. but please help.
Answer:
Question 3 is- B. 8 ounces
Step-by-step explanation:
I need to Know this Please.
Answer:
The last one is the answer
Simplify an expression for the perimeter of the equilateral triangle shown below, in centimeters.
Show your work AND Label your answer!
1.75x – 2
Answer:
1.75×2-2
Step-by-step explanation:
CAN ANYONE HELP ME PLEASE AND THANK YOU
Answer:
(-3,5)
Step-by-step explanation:
There are 65 people in a restaurant. The restaurant has a maximum capacity of 84 people. Write an inequality that represents the number x of additional people who can enter the restaurant
Answer:
x+65≤84
Step-by-step explanation:
Inequality that represents the number 'x' of additional people who can enter the restaurant is -
x + 65 ≤ 84
What is inequality?
Inequality refers to a relationship that makes a non-equal comparison between two numbers or other mathematical expressions.
Given is a restaurant which has 65 people in it. The restaurant has a maximum capacity of 84 people.
Assume that 'x' more people can enter inside the restaurant. Then -
the inequality can be written as follows -
x + 65 ≤ 84
65 people were already inside. 'x' more people can enter it such that the total number of people inside is either less or greater than 84.
Therefore, inequality that represents the number 'x' of additional people who can enter the restaurant is -
x + 65 ≤ 84
To solve more questions on inequality, visit the link below-
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HELP! I CANT GET ANY WRONG
Hello, 40 POINTS + BRAINLIEST to a answer with a long explanation. The question below is just an example, I need to know how to solve exponents.....
The prime factorization of _________ is 2 (to the fourth power) × 5.
How do you solve with the fourth power thing? I am confused....
Please help as soon as possible :)
Answer:
you times the number by itself the number of times the power is. 10 to the fourth power is 10 times 10 times 10 times 10, etc.
Step-by-step explanation:
For instance 10 to the third power is 1000 because 10 times 10 times 10=1000/
For your example the answer is 2 times 2 times 2 times 2=16. To figure out how much you times it by is if it is to the power of 4, you times it by itself 4 times, power of 5 = times it by itself 5 times, etc. Hope it helps!
find the value of x. (5x+4) 49
Answer:
X=9
Step-by-step explanation:
5 multiplied by 9 is 45 and 45 plus 4 is 49
Answer:
9
Step-by-step explanation:
Which statement about the ordered pairs (3, – 8) and (4, 4) is true for the equation
3x - = 112
O (3, – 8) is a solution to the equation but not (4, 4).
Both ordered pairs are solutions.
Neither ordered pair is a solution.
O (4, 4) is a solution to the equation but not (3, – 8).
Answer:
Niether
Step-by-step explanation:
its not a solution
Use the Distance Formula to find the distance between (-1,4) and (4,1)
Answer:
[tex]\sqrt{34}[/tex] or 5.831
Step-by-step explanation:
Plug the coordinates into the formula and there's your answer.
A rectangle has width x + 2 and length 2x - 1 what is it’s perimeter
Answer:
P=6x+2
Step-by-step explanation:
P=2L+2w
P=2(2x-1)+2(x+2)
P=4x-2+2x+4 can i get brainliest please?
P=6x+2
What is the slope of the line shown.
Answer:
The answer is negative one half. If I am wrong let me know because the picture is a little hard to read.
Step-by-step explanation: To find the slope, you look at the Y axis and see where the line crosses perfectly(or goes through) the Y axis first. Then, you look at the x axis and see where the line crosses perfectly on the x axis. For example, the line crosses the Y axis at negative, and the line crosses the X axis at positive 2. The vertical line is the y axis and the horizontal line is the x axis.
Like drives to his grandmother’s house on Saturday. For the first three hours, he drives at a constant sped of 50 miles per hour.
Step-by-step explanation:
if you're asking for distance then,
V = s / t
50 mph = s / 3 hrs
50 mph × 3 hrs = s
150 miles = s
Multi- step equations
3n - 5 = -8(6 + 5n)
Answer:
-1
Step-by-step explanation:
Original Equation:
3n - 5 = -8(6 + 5n)
Use distributive property on the parentheses.
-8 ⋅ 6 = -48
-8 ⋅ 5n = -40n
Equation now:
3n - 5 = -48 - 40n
Add 40n to both sides.
43n - 5 = -48
Add 5 to both sides.
43n = -43
Divide both sides by 43
n = -1
(I might not be right. I am sorry if I am am wrong. Don't get mad at me)
Hope I helped :)
Please consider Brainliest :)
[tex]\bold{Hello!}\\\bold{Your~Answer~Is~Below!}[/tex]
______________________________
[tex]\bold{Solution~Steps:}[/tex]
[tex]1.)~Use~distributive~property~to~multiply~-8~by~6+5n:[/tex]
[tex]\bold{-8}[/tex] × [tex]\bold{6=-48}[/tex][tex]\bold{-8}[/tex] × [tex]\bold{5n=-40n}[/tex][tex]\bold{We~use~distributive~when~we~have~parenthesis~over~an~equal.}[/tex][tex]2.)~Add~40n~to~both~sides:[/tex]
[tex]\bold{-40+40n=Cancels~Out}[/tex][tex]\bold{3n+40n=43n}[/tex][tex]\bold{~In~this~case~we~add~since-40n~is~negative.}[/tex][tex]3.)~Add~5~to~both~sides:[/tex]
[tex]\bold{-5+5=Cancels~Out}[/tex][tex]\bold{-48+5=-43}[/tex][tex]\bold{~In~this~case~we~add~since-5~is~negative.}[/tex][tex]4.)~Divide~both~sides~by~43:[/tex]
[tex]\bold{43n}[/tex] ÷ [tex]\bold{43=Cancels~Out}[/tex][tex]\bold{-43}[/tex] ÷ [tex]\bold{43=-1}[/tex][tex]\bold{You~divide~by~the~number~attached~to~the~variable~to~get~n~alone.}[/tex]______________________________
[tex]\bold{Answer:}[/tex]
[tex]\bold{n=-1}[/tex]______________________________
[tex]\bold{Hope~this~helps,}\\\bold{And~best~of~luck!}\\\\\bold{~~~~~-TotallyNotTrillex}[/tex]
A number is in expanded form: (9 x 10) + (6 x 1) + (2 x 1/100) + (3 x 1000) What is the number is standard form?
Answer:
96.023 is the answer yeah
Sarah jumps rope to keep in shape. She jumps an average of 20 times in 15 seconds. Which of these describes her jumping rate?
- 60 jumps per minute
- 60 minutes per jump
- 80 jumps per minute
- 80 minutes per jump
For a fundraiser, each donor package contains 333 food vouchers and 555 raffle tickets. Complete the double number line diagram to show the numbers of food vouchers and raffle tickets in 111, 222, 333, and 444 donor packages. Choose 1 answer: Choose 1 answer:
Answer:
It's A
Step-by-step explanation:
Factor the expression using the GCF 48+80
Please Help.
Answer:
Then common factor is 16
Step-by-step explanation:
The factored expression is equivalent to -
8(6 + 10)
What is Greatest Common Factor?
In mathematics, the greatest common divisor of two or more integers, which are not all zero, is the largest positive integer that divides each of the integers.
Given is to factor the given expression using the greatest common factor A = 48 + 80
For -
48 = 2 x 2 x 2 x 2 x 3
80 = 2 x 2 x 2 x 5
Using the greatest common factor, we can write -
48 + 80
8(6 + 10)
Therefore, the factored expression is equivalent to -
8(6 + 10)
To solve more questions on functions, expressions and polynomials, visit the link below -
brainly.com/question/17421223
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