Answer:
n=6 , n=-2
Step-by-step explanation:
[tex]n^{2}-4n-12=0[/tex]
Factorise to give:
[tex](n-6)(n+2)[/tex]
Set first one to equal 0:
[tex]n-6=0[/tex]
[tex]n=6[/tex]
Set second one to equal 0:
[tex]n+2=0[/tex]
[tex]n=-2[/tex]
Reason for 2 solutions:
All quadratics can have a maximum of 2 solutions like this one or a minimum of 0.
The solution(s) is the point where the graph crosses the x-axis
The image below shows the graph of the equation:
[tex]n^{2}-4n-12[/tex]
When y=0:
It intercepts the x-axis at 6 and -2 giving why n has 2 solutions
If the nth term of an AP is (7-4n) then its common difference is
Given nth term of an AP = 7-4n
Put n = 1 then t1 = 7-4(1) = 7-4 = 3
Put n = 2 then t2 =7-4(2) = 7-8 = -1
Common difference = t2-t1 = -1-3 = -4
a computer performs a calculation in 3.5 x 10^-5 seconds to solve a math problem. How long does the computer need to calculate the solutions to 5 x 10^4 math problems. Enter your answer in standard form
Step-by-step explanation:
let's do this in 2 steps :
1. go for 1×10⁴ math problems
2. multiply that result by 5 to fully cover 5×10⁴
1.
3.5×10^-5 × 1×10⁴ = 3.5×10^-1
2.
5 × 3.5×10^-1 = 16.5×10^-1 = 1.65×10⁰
so, the computer needs 1.65×10⁰ or simply 1.65 seconds.
3/4, 4/5, 7/8, 9/11, 5/6
can they be simplified? give your reasons below.
Answer:
No, none of these can be simplified
Step-by-step explanation:
Each one of these factions have a prime number in it, so therefore, you cannot simplify any of them. Prime numbers are numbers that only have 2 factors, one and itself. So, you can't simplify any of them.
Here's why:
If you take 3/4, you can't simplify because 3 is prime. 4 is NOT prime, but to reduce, you have to be able to find a GCF, or a greatest common factor.
Please help! I need help with this question.
Answer:
check online for more information
y= -4x - 7
Please help
Answer:
- 4x-7: m=-4
Axis interception points of - 4x - 7 intercepts: (-7/4, 0), Y intercepts: (0, - 7)
[tex]\frac{\sqrt{2x} }{\sqrt{} x-1}[/tex]
For which values of x does each expression make sense?
Answer:
The expression is unclear so:
If the denominator is [tex]\sqrt{x}-1[/tex] then your set of existence is given by
[tex]\left \{ {{x\ge0} \atop {x\ne1}} \right.[/tex]
since you want the quantity inside both square roots to be positive (and it happens for both to be simply [tex]x\ge0[/tex] and you don't want a zero at the denominator so you have to rule out 1.
If the square root includes the whole denominator [tex]\sqrt{x-1}[/tex] the condition becomes [tex]\left \{ {{x\ge0} \atop {x>1}} \right.[/tex]
where you don't include the extreme in the second condition since, again, you don't want to divide by 0. The answer in this case is simply [tex]x>1[/tex] since values between 0 and 1 will give a negative root which is not a real number.
A pirate was digging a hole on an island to bury his treasure. If he is able to dig a hole into the sand at 2 feet per minute, what integer would represent how deep the would be after 7 minutes?
Answer:
2(7) = 14 ft.
Step-by-step explanation:
That pirate must be a beast! or have an excavator.
When c=-7, evaluate 4(9/4+5/7c)
Hey there!
4(9/4 + 5/7c)
= 4(9/4 + 5/7(-7))
= 4(9/4) + 20/7(-7)
= 4(9/4) - 20
= 9 - 20
= -11
Therefore, your answer is: -11
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
judy gave 1/9 of her candies that she had to janet. with what she had remaining, she gave 1/2 to her brother. Judy now has 12 candies left. how many candies did she have at the beginning?
Work out the area of the shaded shape.
Answer:
Step-by-step explanation:
A = 8(14) - 9(8 - 4) = 76 m²
A- CE=CD
B- CE = CA
C- BF=DF
D- DF=EF
please help!!
The perpendicular bisector theorem gives the statements that ensures
that [tex]\overleftrightarrow{FG}[/tex] and [tex]\overleftrightarrow{AB}[/tex] are perpendicular.
The two statements if true that guarantee [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex] are;
[tex]\overline{CE} = \overline{CD}[/tex] [tex]\overline{DF} = \overline{EF}[/tex]Reasons:
The given diagram is the construction of the line [tex]\mathbf{\overleftrightarrow{FG}}[/tex] perpendicular to line [tex]\mathbf{\overleftrightarrow{AB}}[/tex].
Required:
The two statements that guarantee that [tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex].
Solution:
From the point C arcs E and D are drawn to cross line [tex]\overleftrightarrow{AB}[/tex], therefore;
[tex]\overline{CE} = \mathbf{\overline{CD}}[/tex] arcs drawn from the same radius.
[tex]\overleftrightarrow{FG}[/tex] is perpendicular to line [tex]\overleftrightarrow{AB}[/tex], given.
Therefore;
[tex]\overline{DF} = \overline{EF}[/tex] by perpendicular bisector theorem.
Learn more about the perpendicular bisector theorem here:
https://brainly.com/question/11357763
What is the possible degree of a polynomial if it has a root of -3 with multiplicity of 2 and, a root of 4 with a multiplicity of 1?
Answer:
3rd degree
Step-by-step explanation:
factors are
a(x + 3)(x + 3)(x - 4)
polynomial is
a(x² + 6x + 9)(x - 4)
a(x³ + 2x² - 15x - 36)
where (a) could be any real number
Which numbers are all divisible by 5?
-)))
A)
224, 777, 215, 466, 991
B)
335, 105, 430, 375, 265
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235, 111, 730, 374, 232
D
332, 350, 265, 425, 510
Answer: B) 335, 105, 430, 375, 265
Step-by-step explanation:
Since each number ends in either a 5 or a 0, they are all divisible by 5.
Therefore, B is the correct answer.
Answer:
335, 105, 430, 375, 265
335, 105, 430, 375, 265
Help please and thank you
Answer:
Perimeter of trapezoid ABCD is 22.8
Step-by-step explanation:
6 + 6 + 8.2 + 2.6 = 22.8
I hope this helps!
Phil must lay concrete down for his back patio and
purchased 23 cubic feet of concrete, what are possible
dimensions of the patio slab? Select all that apply.
Answer:
Concrete can be purchased by the cubic yard. How much will it cost to pour a slab 18 feet by 18 feet by 6 inches for a patio if the concrete costs $42.00 per cubic yard?
Step-by-step explanation:
I HOPE THIS HELPS
Find the x-intercepts of the parabola y=−x2+x+12.
Answer:
Your x-intercepts are -(3, 0) and (4, 0).
Step-by-step explanation:
ершрфшгцр
мкфуерцнокеупауйвЫЫМ ВНОРЕФУфцвыА ЕЬГАЕ7ГАТАСО ПНМСВЧСЧМ
Answer:
Step-by-step explanation:
I dont know
evaluate 4/5 * for * =7
Answer:
16/5=7
Step-by-step explanation:
From 175 yards away, a marksman hit 14/50 of the targets last year.
Explain why and show how the expression -x might represent a positive number, a negative
number, or even 0.
Shabana earns £1900 a month. She is awarded a 1% pay rise. What is her new salary?
Plz answer. No spam links.
Answer: 1919 will be the final amount
Step-by-step explanation: 1 percent of 1900 is 1900/100=19
add this to 1900
this will get you 1919
brainliest pls
Marissa deposited $3,900 into a savings account. How much will Marissa have in her account after 7 years and 6 months at a yearly simple interest rate of 1.82%
Marissa wants to know how much she would make using the simple interest calculation.
She will have $4,432.35
Given data
Principal = $3,900
Time = 7 years 6 months = 7.5 years
Rate = 1.82%
I = A - P = $532.35
Equation:
A = P(1 + rt)
Calculation:
First, converting R percent to r a decimal
r = R/100 = 1.82%/100 = 0.0182 per year.
Solving our equation:
A = 3900(1 + (0.0182 × 7.5)) = 4432.35
A = $4,432.35
The total amount accrued, principal plus interest, from simple interest on a principal of $3,900.00 at a rate of 1.82% per year for 7.5 years is $4,432.35.
Learn more about simple interest here:
https://brainly.com/question/20690803
Find the slope of the line.
first you have to pick any two points on the line
(-3,4) and (0,-2)
then you subtract the y values
-2-4= -6
after that you subtract the x values
0 - (-3)= 3
the slope is -6/3, or -2
What is the vertical asymptote of the function f(x) = (x - 5)/(x ^ 2 - 2x - 15)
Answer:
Vertical asymptote is at [tex]x=-3[/tex]
Step-by-step explanation:
Let us plot the function
Here
[tex]\frac{x-5}{x^{2}-2x-15}=\frac{x-5}{(x-5)(x+3)}\\\\=\frac{1}{x+3}[/tex]
Function does not exits at [tex]x=-3[/tex]
Vertical asymptote is at [tex]x=-3[/tex]
May someone help me with this please?
Answer:
the first one
Step-by-step explanation:
plz give brainliest
What is the slope of the line?
Answer:
-5
Step-by-step explanation:
Use the slope triangle I mentioned in a previous question
Please help!
Describe a trend line in a scatterplot and how it should look in comparison to the data points.
Answer:
A trend line is a straight line that best represents the points on a scatterplot. The trend line may go through some points but need not go through them all. The trend line is used to show the pattern of the data. This trend line may show a positive trend or a negative trend.
Step-by-step explanation:
answer above
Sample Answer: A trend line describes the relationship between the two variables in a scatterplot. A trend line is sloped according to the general direction of the cluster of data points. It is drawn through the center of the cluster so the distance from the line to the points is minimized.
this is the correct answer on edge!!
Q.
x ÷ 2 = 1.000.000.000
x = ?
x÷2=1.000.000.000
x=1.000.000.000×2
x=2.000.000.000
Check:
2.000.000.000÷2=1.000.000.000
let's find the value of x
x ÷ 2 = 1.000.000.000x = 1.000.000.000*2x = 2.000.000.000✅Complete the process of solving the equation.
Fill in the missing term on each line. Simplify lany fractions.
9V + 19 = 19
9V =
Subtract 19 from both sides
V =
Divide both sides by 9
Answer:
V=0
Step-by-step explanation:
9V + 19 =19
9V=19-19
9V=0
V=0
a playground is 750 M long and 250 m broad find the cost of levelling at rupees 16 per 100 square metres
Answer:
Area of play ground = Length × Breadth = 750 × 250 = 187500. a Cost of levelling the ground = 187500 × 16 100 = Rs . 30000