Answer:
[tex]9 {x}^{2} - 4 = 0 [/tex]
[tex](3x - 2)(3x + 2) = 0[/tex]
[tex]3x - 2 = 0[/tex]
[tex]3x = 2[/tex]
[tex]x = \frac{2}{3} [/tex]
AND
[tex]3x + 2 = 0[/tex]
[tex]3x = - 2[/tex]
[tex] \times = - \frac{2}{3} [/tex]
9x²-4=0
or,(3x)² +2*3x*3 +(3)² -5 = 18x -5
or,(3x+3)² = 18x
either,3x+3= 18x or, 3x+3=-18x
or, 15x=3 or, 21x=-3
or, x=1/5 or, x=-1/7
The area of a rectangular wall of a barn is 252 square feet. Its length is 10 feet longer than twice its width. Find the length and width of the wall of the barn.
Answer: Length = 28 feet and width = 9 feet
Step-by-step explanation:
Let x = width of the wall.
Then, Length of the wall = 10+2x
Since , Area of rectangle = length x width
Then, as per given,
[tex]252= (10+2x)x\\\\\Rightarrow\ 252=10x+2x^2\\\\\Rightarrow\ 2x^2+10x-252=0\\\\\Rightarrow\ x^2+5x-126=0\\\\\Rightarrow\ x^2+14x-9x-126=0\\\\\Rightarrow\ (x+14)-9(x+14)=0\\\\\Rightarrow\ (x+14)(x-9)=0\\\\\Rightarrow\ x=-14 \ or \ x= 9[/tex]
Since width cannot be negative , so x = 9
So width = 9 feet and length = 10+2(9)=10+18 = 28 feet
Hence, length is 28 feet and width is 9 feet of the wall of the barn.
True or False? Whole Numbers (W) are a subset of Integers (Z)
O True
False
Answer:
true
Step-by-step explanation:
bc the integer equals to the subset
need help please help
Answer:
9 minutes
Step-by-step explanation:
The water volume in pool 1 starts at 50 gallons and increases at 2.3 gallons per minute. An expression for that volume could be ...
v = 50 +2.3t
The water volume in pool 2 starts at 102.2 gallons and decreases at 3.5 gallons per minute. An expression for that volume could be ...
v = 102.2 -3.5t
The volumes will be equal when ...
50 +2.3t = 102.2 -3.5t
5.8t = 52.2 . . . . . . . . . . . subtract 50-3.5t from both sides
t = 52.2/5.8 = 9 . . . . . . . divide by the coefficient of t
After 9 minutes, the pools will contain the same amount of water.
_____
The equation 5.8t = 52.2 tells you the 52.2 gallon difference in volumes is being reduced at the rate of 5.8 gallons per minute. You don't really need the 'v' equations to figure that out.
write in standard form x2 + y = 2x -4
Answer:
y = - x² + 2x - 4
Step-by-step explanation:
The equation of a parabola in standard form is
y = ax² + bx + c ( a ≠ 0 )
Given
x² + y = 2x - 4 ( subtract x² from both sides )
y = - x² + 2x - 4 ← in standard form
Simplify 7 -(-4) + 3(-6).
0-7
07
-9
9
Please help! (Will give brainliest answer and hearts) Thank you and have a nice day!
Answer:
W
Step-by-step explanation:
so you go to the right 2 times then you go down 5 and a half times (where the negative numbers are) and then you get the answer here is a picture so you can understand a little better, I hope this helps you :)
on 1
-4 is to the left of O so that means O is
than -4. Greater Less
Answer:
O is greater than -4
Step-by-step explanation:
Answer:
O is less than -4
0<-4
Step-by-step explanation:
Which property should be used next in this solution process? 3x+2+3=7(x-1)-4. 3x+5=7(x-1)-4
Simplify the expression: 1–7v+7v+9–2
Answer: 8
Step-by-step explanation:
Add.
(2x2 - 2x) + (6x – 4)
2x^2 + 4x - 4
..........................
Answer:
x = {-2, -1}
Step-by-step explanation:
Combine like terms: 0 + -2 = -2
x = -2
Simplifying
x = -2
Combine like terms: 0 + -1 = -1
x = -1
Simplifying
x = -1
1. The surface area of a cylinder is T=2rtrh+2tr2, where T is the surface area, andr
is the radius of the base. A penny is a cylinder with a diameter of 19.05 millimeters
and a thickness of 1.55 millimeters. Ignoring the raised design, what is the surface
area of a penny?
Pls help
Answer:
the surface area of a penny = 662.81 mm²
Step-by-step explanation:
given:
A penny is a cylinder with a diameter of 19.05 millimeters
and a thickness of 1.55 millimeters.
find:
what is the surface area of a penny?
surface area of a cylinder formula:
As = 2 π r h + 2 π r²
let r = 19.05 / 2
r = 9.53 mm
let h = 1.55mm
plugin values into the formula:
As = 2 π (9.53) 1.55 + 2 π (9.53)²
As = 92.76 + 570.05
As = 662.81 mm²
therefore,
the surface area of a penny = 662.81 mm²
Answer:
the surface area of a penny = 662.81 mm²
Step-by-step explanation:
got this correct in exam
Antony borrowed 20,000,000 for 7 years his interest rate is 5% how much interest will he pay in all
Answer:
7,000,000
Step-by-step explanation:
[tex]Principal = 20,000,000\\Time =7\:years\\Rate = 5\%\\Simple\:interest =?\\\\Simple\:interest = \frac{Principal\times Rate\times Time}{100} \\\\S.I= \frac{20000000\times 5 \times 7}{100} \\\\S.I==\frac{700000000}{100}\\\\Simple\: interest=7000000[/tex]
The solution is, he will pay 7000000 interest in all.
What is interest?Interest is the price you pay to borrow money or the cost you charge to lend money. Interest is most often reflected as an annual percentage of the amount of a loan. This percentage is known as the interest rate on the loan.
Here, we have,
formula: I = Prt.
here, we have,
given that,
Antony borrowed 20,000,000 for 7 years his interest rate is 5%
i.e. we get,
P= 20,000,000
t = 7
r= 5%
and, we have to find I
so, we have,
I = P r t
=20,000,000*5*7/100
=7000000
Hence, he will pay 7000000 interest in all.
To learn more on interest click:
brainly.com/question/29335425
#SPJ3
At Becky's Restaurant, 10 out of 25 customers order wheat rolls. The rest of the customers order cornbread. Which does NOT represent the part of the customers who order wheat rolls
Answer:
C. 25 ÷ 10
Step-by-step explanation:
A. 10/25
B. 2/5
C. 25 ÷ 10
D. 0.4
Total customers at Becky's restaurant = 25
Customers who order wheat rolls = 10
It means 10 out of 25 customers order wheat rolls
That is
10 / 25
Dividing both numerator and denominator by 5
= 2 / 5
2/5 in decimal
= 0.4
The option Which does NOT represent the part of the customers who order wheat rolls
is 25/10
Option C. 25 ÷ 10
A) 75YARDS B) 85 YARDS C)80 YARDS D) 90 YARDS
Answer:
________________
I think it's 85 yards
What is the slope of a line that passes through 41-50
Answer:
-15/7
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1 so replace the variables with -8-7/3-(-4) and solve which gets you -15/7
Rewrite as a simplified fraction.
3.2 = ? 2 is repeating
Answer:
3
.
¯
2
=
29
9
Explanation:
Using the notation of a bar over a set of digits to denote their infinite repetition,
let
x
=
3
.
¯
2
⇒
10
x
=
32
.
¯
2
⇒
10
x
−
x
=
32
.
¯
2
−
3
.
¯
2
=
29
⇒
9
x
=
29
∴
x
=
29
9
This technique works in general. Set
x
as your desired value, multiply by
10
n
where
n
is the number of digits repeating, and then subtract
x
to eliminate the infinitely repeating portion. It then is just a matter of dividing by
10
n
−
1
a
Step-by-step explanation:
x=536/165
you should know what to do since your in this part of the unit
i need a little help with this equation 15-5+5^2
Answer:
35
Step-by-step explanation:
15-5+(5^2)
10+25
35
Represent the following sentence as an algebraic expression, where "a number" is the letter x.
A number plus 2
Answer:
X+2
Step-by-step explanation:
A number is x plus 2
X+2
Find the LCM of 30, 45, 60 and 90.
Answer:180
Step-by-step explanation:
The figure shown has two parallel lines cut by a transversal: A pair of parallel lines is shown, crossed by a transversal. Angles are identified as 1, 2, 3, 4, 5, 6, 7, and 8. Angles 1-4 are on the top line clockwise from upper left. Angles 5-8 are on the lower line clockwise from upper left. Use the figure to complete the sentence. (4 points) ∠7 and ____ are alternate exterior angles. a ∠2 b ∠1 c ∠5 d ∠8
There are several relationships between angles within a transversal of parallel lines.
The complete statement is (b) ∠7 and ∠1 are alternate exterior angles
From the figure (see attachment), we have the following highlights
Angles 1 and 7 are both exterior anglesAngles 1 and 7 are both alternate anglesThe above highlights mean that:
Angles 7 and 1 are alternate interior angles
Hence, the text that completes the blank is (b) ∠1
Read more about alternate interior angles at:
https://brainly.com/question/15685431
Answer:
b ∠1
Step-by-step explanation:
Point K is on line segment JL. Given JK = 5x + 7, JL = 2x+8, and KL = 4,
determine the numerical length of JL.
Answer:
The numerical length of JL is 6 units
Step-by-step explanation:
Here, we want to determine the numerical length of JL
Mathematically;
JL = JK + KL
2x + 8 = 5x + 7 + 4
2x + 8 = 5x + 11
5x -2x = 8-11
3x = -3
x = -1
But JL = 2x + 8
JL = 2(-1) + 8 = -2 + 8 = 6
jacob weights 36.4 pounds and alice. weights 42.275 pounds. how much do they weigh together
Answer:
78.675 pounds
Step-by-step explanation:
36.4 + 42.275 = 78.675 pounds
Answer:
it is 78.675 just round it to the nearest something which would be 78.68
Step-by-step explanation:
just add and round
4(-32x+5)-(-33x-26)=
Answer:
-95x+46
Step-by-step explanation:
4(-32x+5)-(-33x-26)=
-128x+20-(-33x-26)=
-128x+20+33x+26
-95x+46
Answer:
-95x-46
Step-by-step explanation:
4(-32x+5)-(-33x-26)=
-128x+20-(-33x-26)=
-128x+20+33x+26
-95x+46
Need help i don't understand
PLEASE HELP ME! I have de done this 10+ times
Determine intersections and unions of sets using interval notation
Given the sets A and B in interval notation,
A = (-∞, 2) U (2, + ∞) and
B= (-∞, - 1) U (-1, + ∞)
find A n B =
Answer:
Shown in the picture
i need an answer and explaination
a necklace priced at $580 is sold for $464. find the percentage discount
$580 = 100%
$1 = 100% ÷ 580
$464 = (100% ÷ 580) × 464
= 80%
Therefore,
percentage discount = 100% - 80%
= 20%
i hope my solution helps :))
A tree that grows 3 feet every 5 years is growing at a rate of ___ feet per year.'
[tex]\bf Step-by-step~explanation:[/tex]
Objective: You need to find the number of feet the tree grows every year (the unit rate).
[tex]\bf Steps:[/tex]
FIrst, we look at what we have now. The tree grows 3 feet every 5 years, so we have to divide 3 by 5 to get the number of feet the tree grows in one year.
[tex]\bf 3~feet~divided~by~5~years~=~Our~final~answer\\\frac{3}{5}=\frac{6}{10}~(multiplied~3~and~5~by~2)\\ \frac{6}{10} =0.6~feet[/tex]
[tex]\large\boxed {\bf Our~final~answer: ~0.6~feet~per~year}[/tex]
[tex]The~tree~grows~at~a~rate~of~0.6~feet~per~year.[/tex]
A cake recipe for 5 people requires 2 eggs.How many eggs do we need for a 15 person cake .
Answer:I have now idea how to do this I only nine
Step-by-step explanation: IDK
Answer:
6 eggs for a 15 person cake.
Step-by-step explanation:
The cake recipe for 5 people requires 2 eggs.
You are solving for the amount of eggs for 15 people.
Divide 15 with 5: 15/5 = 3
The prompt multiplied 3 to the people to get the required amount. Do the same with the eggs:
2 x 3 = 6
6 eggs is needed.
[tex]\frac{5 people}{2 eggs} * \frac{3}{3} = \frac{15 people}{ 6 eggs}[/tex]
El cubo de la diferencia entre dos números cualquiera
Answer:
El cubo de la diferencia de dos cantidades es igual a la primera cantidad elevada al cubo menos tres veces la primera cantidad elevada al cuadrado por la segunda cantidad más tres veces la primera cantidad por la segundad cantidad al cuadrado menos la segunda cantidad al cubo.
Step-by-step explanation:
Answer:
lo siento, no puedo ayudarte
Step-by-step explanation: