[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]
HELP WITH THIS WORD PROBLEM
While riding a train in New York City, you notice there are 125 passengers in the first carriage, 10 more passengers in the second carriage then there are in the first carriage, and 10 more passengers in the third carriage then there are in the second carriage. If this pattern continues, how may passengers are there in the fourth carriage?
Answer:
1 cart = 125
2 cart = 135
3 cart = 145
4 cart = 155
Step-by-step explanation:
I drive 55 miles per hour for 3 hours, stop for lunch for an hour, then drive 4 more hours at 62 miles per hour. What was my average speed for my 8 hour trip?
Answer:
15.5
Step-by-step explanation: I know because I calculated it praporly if you say I am wrong then most likely your wrong
Car Survey In a survey of 1,300 people who owned a certain type of car, 910 said they would buy
that type of car again. What percent of the people surveyed were satisfied with the car?
% of the people surveyed were satisfied with the car.
Answer: let
Total number of those who took part in the survey (T) = 1300
Those were satisfied with the car(t)=910
Percentage of those who are satisfied (S)= (t/T)*100
S=(910/1300)*100
S=70%
Therefore 70% were satisfied
Step-by-step explanation:
Can someone pleasee help or explain to me how u do this? I don’t really Understand ?
I have to show work helpp :(
Answer:
B
Step-by-step explanation:
Find the value of x in the following figure ( Please hurry)
Answer:
x=9
Step-by-step explanation:
2x+12=5x-15
3x=27
x=9
Answer:
the value of X in the figure is 0 I think
please help me! ( pythagorean theorem)
Answer:
the missing side is √65
Step-by-step explanation:
a^2 + b^2 = c^2
4^2 + 7^2 = c^2
16 + 49 = c^2
65 = c^2
√65 = √c^2
√65 = c
He signed a promissory note with a term of three years the principal was $12,800 with interest at 12.5% how much did BP pay in interest on the note and on the maturity date how much did bo4 principal
Answer:
$48,000
Step-by-step explanation:
Step one:
given data
Principal= $12,800
rate= 12.5%
time = 3 years
Required
The Interest
Step two
SImple interest= PRT/100
substitute
SI= 12800*12.5*3/100
SI=480000/100
SI=$48,000
algebraic form of the square of the sum of r and t.
i will give you brainliest if u are right help asap
Answer:
a) 94°
Step-by-step explanation:
shape is a 5-sided polygon, known as a pentagon
number of degrees inside can be found by taking the number of sides (5), deducting 2 (3) and then multiplying by 180°.
Therefore there are 540° altogether.
add all like terms for all five angles: 24x - 12 = 540
24x = 552
x = 23
m∡P = 4(23) = 2
= 92 + 2
= 94°
the ratio of 48 patients 6 nurse
Answer:
8:1
Step-by-step explanation:
Do 48/6 to find the ratio
Are 12,24,36,48 proportional
Help me with this problem? GIVING BRAINLIEST!!
Answer:
Speed = Distance/time in km/h
a) 18 feet in 20 minutes
0.0054864 km/0.333333hours
=0.01645921645 km/h
b) 90 feet in 2.5 hours
0.027432km/2.5
=0.0109728 km/h
c) 20 yards in 1.5 hours
0.018288km/1.5
=0.012192 km/h
d) 3 2/3 yards in 15 minutes
0.003352800000003048km/0.25hours
=0.0134112
So I think its safe to say that A is the fastest in comparison
A hemispherical tank is filled with water and has a diameter of 14 feet. If water
weighs 62.4 pounds per cubic foot, what is the total weight of the water in a full tank,
to the nearest pound?
Answer:
[tex]44,826.72\ \text{pounds}[/tex]
Step-by-step explanation:
Given that,
The diameter of a hemispherical tank= 14 feet
Radius, r = 7 feet
water
Water weighs 62.4 pounds per cubic foot.
We need to find the total weight of the water in a full tank to the nearest pound.
The volume of the hemisphere is given by :
[tex]V=\dfrac{2}{3}\pi r^3\\\\V=\dfrac{2}{3}\pi \times (7)^3\\\\V=718.377\ \text{feet}^3[/tex]
If water weighs 62.4 pounds per cubic foot, it means
[tex]V=718.377\times 62.4\\\\V=44,826.72\ \text{pounds}[/tex]
So, the total weight of the water is [tex]44,826.72\ \text{pounds}[/tex].
Please help!!!
Composition of functions~
Answer:
[tex]g(h(-8)) = 119[/tex]
Hence, option B) is true.
Step-by-step explanation:
Given
g(x) = 2x-5
h(x) = x² - 2
To determine
[tex]g(h(-8)) = ?[/tex]
In order to determine g(h(-8)), first we need to determine h(-8), so
substituting x = -8 in h(x) = x² - 2
h(x) = x² - 2
h(-8) = (-8)² - 2
h(-8) = 64 - 2
h(-8) = 62
so we can write
[tex]g(h(-8)) = g(62)[/tex]
now, to determine g(62), substitute x = 62 in g(x) = 2x-5v
g(x) = 2x-5
g(62) = 2(62) - 5
g(62) = 124 - 5
g(62) = 119
so,
[tex]g(h(-8)) = g(62)=119[/tex]
Therefore,
[tex]g(h(-8)) = 119[/tex]
Hence, option B) is true.
What is the slope of this line
Your factory installed tires have a comfort that 95 inches if the odometer reading reading is 32,000 miles on your car you have tires with a conference have 103 inches how many miles have you actually traveled
Answer:
The correct solution is "35440.8".
Step-by-step explanation:
The given values are:
Bigger tire's circumference,
= 103 inches
Factor installed tire's circumference,
= 95 inches
Odometer reading,
= 32,000 miles
As we know,
⇒ [tex]Actual \ distance = K\times odometer \ reading[/tex]
Where,
⇒ [tex]K = \frac{Bigger \ tier \ circumference}{Factor \ installed \ tier \ circumference}[/tex]
i.e.,
⇒ [tex]K=\frac{103}{95}[/tex]
On applying the formula,
⇒ [tex]Actual \ distance \ travelled=\frac{103}{93}\times 32,000[/tex]
⇒ [tex]=35440.8[/tex]
Please help!! I will mark you brainliest
Answer:
8x-3=5x+6
Step-by-step explanation:
8x-3=5x+6
3x=9
x=3
Which one!?!?
Help please
Answer:
Option 1
hope this helped :D
are 9x+15 and -9x-15 equivalent expressions
Answer:
Step-by-step explanation:
Yes!
Divide £320 in the ratio 3:5
Answer:
£120 : £200
Step-by-step explanation:
sum the parts of the ratio, 3 + 5 = 8 parts
Divide the amount by 8 to find the value of one part
£320 ÷ 8 = £40 , then
3 parts = 3 × £40 = £120
5 parts = 5 × £40 = £200
Then £320 in the ratio 3 : 5 is £120 : £200
The division of £320 in the ratio of 3: 5 is £120: £200.
What is the arithmetic operator?Arithmetic operators are four basic mathematical operations in which summation, subtraction, division, and multiplication involve.,
Summation = addition of two or more numbers or variable
For example = 2 + 8 + 9
Subtraction = Minus of any two or more numbers with each other called subtraction.
For example = 4 - 8
Division = divide any two numbers or variable called division.
For example 4/8
Multiplication = to multiply any two or more numbers or variables called multiplication.
For example 5 × 7.
Given the amount of £320
Now,
The ratio is 3: 5 so divide 320 by 3 + 5 to find the per unit ratio value.
So,
320/8 = 40
Now,
Multiply by 3 ⇒ 3 × 40 = 120
Multiply by 5 ⇒ 5 × 40 = 200
So ratio 120/200 = £120: £200.
Hence "The division of £320 in the ratio of 3: 5 is £120: £200".
To learn more about the arithmetic operators,
brainly.com/question/25834626
#SPJ2
Help! I don’t know if I’m right
Answer:
B
Step-by-step explanation:
when dividing powers, you just subtract them so in this case subtract 6-4 which will be 2. so your answer is 11².
What is the slope of the line given by the equation below?
y = 4x - 2
Answer:
As y=4x−2 can be written as y=4x+(−2) . Hence, it's slope is 4 and intercept on y -axis is −2
~Please ~ help ~ me ~ out ~ I ~ don't ~ understand ~ the ~ question ~ and ~ if ~ you ~ can ~ explain ~ it ~ please ~ explain ~ .~ ヽ(´ ~ `)/♡
A circular garden has a radius of 8 feet. What is the circumference of the garden?
I think its C, cause I said so.
what is 3/10 of 68249????????????
Answer:20474.7
Step-by-step explanation:
68249 divide by 10 then multiply by 3
are 7x and 3+ like terms that you can combine?
Answer:
no
Step-by-step explanation:
Because the term behind the 7 is a x, but the 3 only has a plus sign. If both numbers had a x, then yes
Hope this Helps!!!
Simplify the expression to a polynomial in standard form:
(3x – 10)(x2+ 2x - 1 )
Answer:
3 x ^3 − 4 x ^2 − 23 x + 10
Step-by-step explanation:
hope this helps!
Susie has a bag with 9 hair pins, 7 pencils, 2 snacks, and 5 books. What is the ratio of books to pencils?
Answer:
5:7
Step-by-step explanation:
Triangle DAC is isosceles with congruent sides AD and AC. Which additional
given information is sufficient for showing that triangle DBC is isosceles?
Select all that apply.
Answer:
A, C, E
Step-by-step explanation:
Welcome :)
Help meee please.........
Answer: B
x looks like .9 so if -.9 + 3 = -2.1 then you can see that's the answer on the number line, hope it helps, I'm 80% sure it's right
