[tex]( {n}^{2} - 6n) + 6 = - 2[/tex]
Find the constant that makes the expression able to be squared. You have to subtract the separated constant by new constant as well.[tex]( {n}^{2} - 6n + 9) + 6 - 9 = - 2 \\ {(n - 3)}^{2} - 3 = - 2 \\ {(n - 3)}^{2} = 1[/tex]
Square Root both sides to get rid the squared expression. Make sure to write plus or minus.[tex] \sqrt{ {(n - 3)}^{2} } = + \sqrt{1} \\ \sqrt{ {(n - 3)}^{2} } = - \sqrt{1} \\ n - 3 = 1 \\ n - 3 = - 1[/tex]
[tex]n - 3 = 1 \: \: \: or \: \: \: n - 3 = - 1 \\ n = 1 + 3 \: \: \: or \: \: \: n = - 1 + 3 \\ n = 4 \: \: \: or \: \: \: n = 2[/tex]
Answer[tex] \large \boxed {n = 4,2}[/tex]
Which table does NOT represent a linear function?
Answer:
table 4 does NOT represent a linear functionStep-by-step explanation:
HOPE IT HELPS ❤❤❤❤❤Answer:
it's the one with 15,18,20,21
Step-by-step explanation:
Cause itt does not have a constant rate it has 15 +3=18, 18+2= 20 so it's not constant
A rectangular garden has a length of 2x - 7 and a width of 3x. Write a simplified expression to represent the area of the garden. (Hint: A=LW where, L is the Lenght and W is the Width). Simplify
Answer:
The answer is 6x² - 21x.
Step-by-step explanation:
You have to substitute the expressions inro the formula :
[tex]A = length \times width[/tex]
[tex]let \: l = 2x - 7,w = 3x[/tex]
[tex]A = (2x - 7) \times 3x[/tex]
[tex]A = 3x(2x - 7)[/tex]
[tex]A = 6 {x}^{2} - 21x[/tex]
The area of the rectangular garden is 6x² - 21x.
What are the area and perimeter of a rectangle?We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.
We know, The area of a rectangle is (length×width).
Given, The rectangular garden has a length of (2x - 7) and a width of 3x.
Therefore, The area of the garden is,
= (2x - 7)×3x.
= 6x² - 21x.
= x(6x - 21).
learn more about rectangles here :
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A person invests 10000 dollars in a bank. The bank pays 7%
compounded annually. To the nearest tenth of a year, how long must
the person leave the money in the bank until it reaches 18900 dollars?
Answer:
t=9.40865\approx 9.4 \text{ years}
t=9.40865≈9.4 years
Step-by-step explanation:
 thanks for the help but I need this answer please!!!
Answer:60 degrees
Step-by-step explanation:
Your other angle is 120 - a straight line has angles must add up to 180. 180-120=60 degrees
Please help if you can. :) ASAP
Answer:
380 ft squared
Step-by-step explanation:
20 times 25 = 500 ft squared
but since there is air
12 times 10 = 120 ft squared
500 - 120= 380 ft squared
If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per second, then its height after t seconds is given by the equation h(t)= -16t2+96t +48, where height is in feet. After how many seconds will the object reach a height of 192 feet?
Answer:
the number of seconds to reach the height is 3 seconds
Step-by-step explanation:
The computation of the seconds that reach the height is as follows;
Given that
h = -16t^2 + 96t + 48
here
H = 192 feet
So,
192 = -16t^2 + 96t + 48
-16t^2 + 96t - 144 = 0
Divide by -16
t^2 - 6t + 9 = 0
t^2 - 3t - 3t + 9
t(t - 3) - 3(t - 3)
t = 3 seconds
Hence, the number of seconds to reach the height is 3 seconds
x-y=5 and x+y=-10 is this parallel, perpendicular, or neither?
Answer:
Its perpendicular
Step-by-step explanation:
You can solve the equation to get x=-2.5 and y = -7.5 so they intersect there, but they intersect at 90 degrees so its perpendicular.
In the figure, AC is perpendicular to DB.
Which of the following statements is TRUE?
Answer:
B. Angle 5 and Angle 6 are complementary
Step-by-step explanation:
Definition of complementary- either of two angles who sum is 90°
As, Line AC and Line DB are perpendicular, Angle DO(the middle point)C is equal to 90°.
Angle DOC = 90°
Angle DOC = Angle 6 + Angle 5
Therefore, Angle 6 + Angle 5 are equal to 90°, so they are complementary.
Good luck!
A clown has 9 red balloons and 4 blue balloons?
You pick one balloon without looking.
what is the chance it is red?
(A) 4/5
(B) 9/4
(C) 9/13
Answer:
(C) 9/13
Plzzzzz give me Brainliest!!!!!
Answer:
C. 9/13
Step-by-step explanation:
It’s kinda obvious because you can’t simplify that probability anymore unless you want decimals, also my bad for people cling the wrong answer previously
Is , divisible by , , , , , , or 0?
VOTING BRAINLIEST 10 POINTS! Rectangle PQRS and its side lengths are shown in the figure.
Which side lengths belong to a rectangle that is NOT similar to rectangle PQRS?
A. 4.5 ft by 3 ft
B. 13.5 ft by 9 ft
C. 6 ft by 4 ft
D. 12 ft by 9 ft
Answer:
its 100% d.)
Step-by-step explanation:
plz mark me
Wang Xiu Ying has 109109109 dollars in her savings account. She has -21−21minus, 21 dollars in her checking account. Write an inequality that correctly compares the account values.
Answer:
[tex]-21 < 109[/tex]
Step-by-step explanation:
Given
[tex]Savings = \$109[/tex]
[tex]Checking = -\$21[/tex]
Required
Represent as an inequality
On a number line -21 comes before 109 (from left to right)
This means that -21 is smaller/lesser than 109.
So, the inequality that compares the two account values is:
[tex]-21 < 109[/tex]
Find the area of a circle with a diameter 6
There are 96 girls and 72 boys who want to participate in 6th grade intramurals .If each team has the same number of girls and the same number of boys,How many boys and girls will be on each team?
Answer:
by taking Hcf of 96 and 72 we get 4 so each team have 4
'24' teams can be made with each team having 4 girls and 3 boys.
Given that,
No. of girls = 96
No. of boys = 72
Since the number of teams is not given, we will find by finding out the GCF(Greatest Common factor) of 96 and 72.
96 = 2 * 2 * 2 * 2 * 2 * 3
72 = 2 * 2 * 2 * 3 * 3
GCF = 2 * 2 * 2 * 3 = 24
Thus, a maximum of 24 teams can be formed. The number of girls and boys in each of these teams would be:
No. of girls in each team = Total girls/no. of teams
= 96/24
= 4 girls
No. of boys in each team = Total boys/no. of teams
= 72/24
= 3 boys
Thus, each team will have 4 girls and 3 boys.
Learn more about 'Greatest Common factor' here:
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1. You have a CD account at local bank. Your opening
balance is $9000. The compound interest rate that bank is
paying you 0.70% annually.
A) What is the interest earned after 6 years?
Answer:
$378
Step-by-step explanation:
(9000 x 0.70%) * 6 = 378
PLEASE ANSWER QUICKLY!
Answer:
x = -9 Its B
Step-by-step explanation:
Because it can go both ways either + or -
Answer:
d
Step-by-step explanation:
b/c |-9|+10=19 |9|+10=19 |0|+10=10
(4x−3)(3x+6) how can i find the terms
Step-by-step explanation:
(4x-3)(3x+6)
4x(3x+6)-3(3x+6)
12x+24-9x-18
12x-9x+24-18
3x+6
x=6/3
x=2
what equation represents the line shown on the graph
Answer:
y = - x + 2
Step-by-step explanation:
the slope is negative, so eliminate choice 2 and 3.
the y intercept is 2 and the slope is -1, hence the answer is choice 4
Which is the net for this rectangular prism?
Answer:
probably c
Step-by-step explanation:
(-6.5)
( 7, 5)
What is the slope
Answer:
m = 0
Step-by-step explanation:
[tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{5-5}{7+6}=\frac{0}{13} =0[/tex]
Hope this helps
PLEASEE HELP!!! LOTS OF POINTS ARE ON THE LINE
Which point is located in Quadrant II?
A coordinate plane.
(–4, 5)
(–4, –5)
(4, –5)
(4, 5)
Answer:
(-4,5) is located on the 2nd quadrant
Answer:
(-4, 5)
Step-by-step explanation:
Quadrant II is at the top left. So, point (-4, 5) is located in Quadrant II.
92
7683
What the answer
Answer:
9
Step-by-step explanation:
y = 1^2-2x+4
find y pls
Answer:
y = − 2 x + 5
Step-by-step explanation:
Try this
Answer:
y = −2x+5
Step-by-step explanation:
lmk if you need to see the work shown
PLEASE ANSWER QUICK I NEED HELP!!!
Use the graph to answer the question below.
What is the slope of the line given in the graph?
Answer:
_____________Y= -2X-10 __________
Answer:
y= -2/1x + 10
please answer this question I would highly appreciate it if it was answered or looked on, please
Answer:
The correct answer would be C
Step-by-step explanation:
25 coins for someone who can answer these for me fast i need the help because i have work for other classes.
Answer:
1. 5%
2. 37.5% decrease
Once again, I need help
Answer:
40x-24y
Step-by-step explanation:
how u need help, just do
8 times 5x
then 8 times -3y
Answer:
the answer to 3 is the first one, 40x-24y
Kevin built a deck in his backyard. The length of the deck was x feet and the width of the deck was 3 feet longer than the length. Write and simplify an expression to represent the perimeter of Kevin's deck.
Answer:
4x + 6 feet
Step-by-step explanation:
The deck is the shape of a rectangle
Hence, the perimeter of a rectangle is:
P = 2L + 2W
Where
L = Length = x feet
The width of the deck was 3 feet longer than the length.
W = Width = 3 + x feet
Hence:
Perimeter = 2(x ) + 2(3 + x)
Perimeter = 2x + 6 + 2x
Perimeter = 4x + 6 feet
Hence, the expression for the Perimeter of the deck is given as:
4x + 6 feet
HelP I have to turn this in tomorrow!!!
Answer:
$7.22 per foot squared
Step-by-step explanation:
hope this helps
Answer:
$7.22/ft² (Verified Answer) ✅Step-by-step explanation:
We need the unit rate here. The best way to do this is to write a proportion.
Let x = the $ for 1 ft.
130/18 = x/1
130 = 18x
Divide by 18
x = $7.22
Now, we check to make sure we are correct.
130/18 = 7.22/1
130 = 130 ✅
Set up a proportion to solve for x.
A 18
B) 9
C) 4.2
D) 3
HELPP