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]
A grocery store sells 6 ears of corn for $3.54. Which of the fllowing shows how to find the amount of money that each ear of corn costs at the grocery store?
a
$3.54 x 6
b
6 ÷ $3.54
c
6 - $3.54
d
$3.54 ÷ 6
Answer: B: 6÷3.54
Step-by-step explanation: Since they sold 6 ears and made $3.54 total, you would have to divide 6 by $3.54 to determine the cost of each ear.
Could someone please answer this question!!?
Hey several brings five breadsticks to the table to people they share them equally how many do they get
please show work i just don’t understand the wording
Answer:
they won 52 games
they lost 19 games
the equation is 2x + 33= 71
Step-by-step explanation:
they played 71 games in total
say the amount of games they won is y
say the amount of games they lost is x
using the variables, you can form this equation:
y + x = 71
you also know that they won 33 more games then they lost.
so, y = x + 33
now, you can substitute y for x + 33 in the original equation
x + x + 33 = 71
combine like terms
2x + 33 = 71
subtract 33 from both sides of the equation
2x + 33 - 33 = 71 - 33
2x = 71 - 33
2x = 38
divide both sides of the equation by 2
2x/2 = 38/2
x = 38/2
x = 19
they lost 19 games.
now substitute 19 for x in the equation
y = x + 33
y = 19 + 33
y = 52
they won 52 games
hurry im taking an math summative
Answer:180 minus 79 is 101
Step-by-step explanation:
Which equation does NOT represent a function?
O A. Y= 3x^2– 5
O B. x = y^2– 9
O C. Y = 12
O D. 3x + 4y = 6
In class of 60 boys, there are 45 boys who play card and 30 boys who play carom. How many play both games
Answer:
the answer is 40 boys
Step-by-step explanation:
Let's say there are x boys who play both cards and carrom.
We setup up an equation that involved all information given and x.
Boys who only play cards = 45-x
Boys who only play carrom = 20-x
Boys who play both = x
Add there together and you should get 60, which is the total number of students in the class.
(45-x)+(20-x)+x=60
65-x=60
x=5
Boys who only play cards=45-x=45–5=40
hope it helps you
Answer:
there are 15 boys who can play both games in the class.
Simplify
(5x−2+3x2)+(4x+3)
Step by step please
For (5x−2+3x^2)+(4x+3) the answer is below
The sum of four consecutive odd numbers is 72 find the numbers
Answer:
15, 17, 19 and 21 it mst b them
The area of a square patio is 196 square feet. How long is each side of the patio?
Each foot of the patio would be 49 feet because a square has four equal side lengths and 196/4=49. now don't put you'll whole faith in me, this is a good guess.
Answer: 14
Step-by-step explanation: the square root of 196 is 14
what is 1 over 3 times 1 over 4?
Find the percent increase. Round to the nearest percent.
From 15 friends to 16 friends
Answer:
107%
Step-by-step explanation:
15-100%
16-x%
x%=16*100/15=106.6%~107%
2. What are the angle measures of the triangle?
Answer:
Answer A is the correct option.
What is the solution to 8x - 3(2x - 4) = 3(x - 6)?
Answer:
x = 30
I hope this helps!
n-6=2n-n
Please help
Answer:
n=−6
Step-by-step explanation:
make since
if y= -8 when x= -2 whats x when y=32
Answer:
8
Step-by-step explanation:
Y) -8 x -4 = 32
X) -2 x -4 = 8
Answer:
X=8
hope this helps =3
sorry if im wrong
f(x) = 3x + 2
g(x) = 2x^2 - 4x
h(x) = x^2 - x + 7
Find f[g(5)]
A. 92
B. 2
C. 30
D. 242
Answer:
A
Step-by-step explanation:
Evaluate g(5), then use the value obtained to evaluate f(x) , that is
g(5) = 2(5)² - 4(5) = 2(25) - 20 = 50 - 20 = 30, then
f(30) = 3(30) + 2 = 90 + 2 = 92
Which property of addition is shown?
3 +41 + 5 + 6 = 3 + 5+ 41 + 61
Identity property
Associative property
Commutative property
Inverse property
Answer:
ASSOCIATIVE PROPERY
Step-by-step explanation:
.
Simplify by using the Distributive Property
4(4f-2g)
Answer:
the answer is 16f-8g
Answer:
16f - 8g
Step-by-step explanation:
You would multiply the terms in the middle by 4 so 4f*4 would be 16f since 4*4 is 16 and then 4*2g would be 8g since 4*2 is 8
The average winter temperature at the South Pole is -49 degrees Celsius. The coldest temperature recorded in Antarctica was 40.6 degrees Celsius colder than the average winter temperature at the South Pole. What was the coldest recorded temperature in Antarctica?
Answer:
The coldest temperature at Antarctica is -89.6 degrees celsius
Step-by-step explanation:
Here, we are interested in calculating the coldest temperature in Antarctica.
In the question, we are simply told that the coldest Antarctica temperature was 40.6 colder than the average winter temperature at the south pole.
The average winter temperature at south pole = -49 degree celsius
The coldest temperature is thus -49-40.6 = -89.6 degrees celsius
Answer:
95
Step-by-step explanation:
Select all that are equivalent to 43.
12
64
4 × 3
4 × 4 × 4
(4 × 4) × 4
3 × 3 × 3 × 3
Answer:
6
Step-by-step explanation:4/9
Answer:
43 Is a prime number
Help pls
10 - 3x = 22
Answer:
its 7
Step-by-step explanation:
( −15/20÷25/30 ) – ( −3/10 x 12 )
Answer:
2.7
Step-by-step explanation:
state whether the linear equation has one (unique),infinely many,or no solutions
12(x+8)=11x-5
PLZ HELP! DO NOT PUT A SILLY AWSER I WILL REPORT U!
Answer:
One solution
Step-by-step explanation:
12x+96=11x-5
12x-11x= -5-96
x= -101
x only equals one solution, which is -101.
Help me pls I am confused for al parts of this pls help.
Answer:
i think it's 5/4
Step-by-step explanation:
2. GAME Frita's game piece is on square
24 of a game board. She draws a card
that
says, "Move back 4 spaces." Then
she draws a card that says, “Move back
2 spaces." On which square is Frita's
game piece now?
Answer:
Square 18.
Step-by-step explanation:
First, you subtract 4 from 24, and get 20, which you subtract 2 from to get your answer: 18.
Hope this helps!
Find the distance between the two points in simplest radical form.
(0, –4) and (-3,-1)
Answer:
3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Calculate the distance d using the distance formula
d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]
with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (- 3, - 1)
d = [tex]\sqrt{(-3-0)^2+(-1+4)^2}[/tex]
= [tex]\sqrt{(-3)^2+3^2}[/tex]
= [tex]\sqrt{9+9}[/tex]
= [tex]\sqrt{18}[/tex]
= [tex]\sqrt{9(2)}[/tex]
= [tex]\sqrt{9}[/tex] × [tex]\sqrt{2}[/tex] = 3[tex]\sqrt{2}[/tex]
Step-by-step explanation:
Hey there!
Given;
The points are;(0,-4) and (-3,-1).
Use formula for distance between the two points.
[tex]d = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]
Put all values.
[tex]d = \sqrt{( { - 3 - 0)}^{2} + ( { - 1 + 4)}^{2} } [/tex]
Simplify to get answer.
[tex]d = \sqrt{9 + 9} [/tex]
[tex]d = \sqrt{18} [/tex]
[tex]d = 3 \sqrt{2} [/tex]
Therefore, the distance is 3√(2) units or 4.24 units.
Hope it helps...
What would be the domain for {(-6, 4), (5, -1), (0, 3), (-2, 4)}
Answer:
-6, 5, 0, and -2
Step-by-step explanation:
The domain values are the x-values in a coordinate pair. Therefore, the domains would be -6, 5, 0, and -2.
I hope this helped you!
can someone please help me with number 18 !! :(
Answer: The last one.
Step-by-step explanation:
Determine the x- and y-intercepts of the graph of x – 4y = 8. Then plot the intercepts to graph the equation.
Answer:
the x is -8,0 and the y is 0,2
hope this helps!