Answer:
y=n^2+3n+4
Step-by-step explanation:
Sequence,S: 8,14,22,32 ,44, 58, 74...
First differences of S: 6,8,10,12,14,16,...
Second differences of S: 2,2,2,2,2,2,....
It is indeed a quadratic since the 1st differences that are the same are the second differences.
So the 1st term is 8. If the 0th term was listes it would be 4 since 8-4=4 and 6-4=2.
This means our quadratic it is in the form
y=an^2+bn+c where c=4.
So we have y=an^2+bn+4.
Now we can find a and b using two points from our sequence to form a system of equations to solve.
(1,8) gives us 8=a(1)^2+b(1)+4
Simplifying gives 8=a+b+4
Subtracting 4 on both sides gives: 4=a+b
(2,14) gives us 14=a(2)^2+b(2)+4
Simplifying gives 14=4a+2b+4
Subtracting 4 on both sides gives 10=4a+2b
So we have the following system to solve:
4=a+b
10=4a+2b
I'm going to solve using elimination/linear combination style.
Dividing second equation by 2 gives the system as:
4=a+b
5=2a+b
Subtract the 2nd equation from the first gives:
-1=-1a
This implies a=1 since -1=-1(1) is true.
If a+b=4 and a=1, then b=3. Because 3+1=4.
So the equation is y=1n^2+3n+4 or y=n^2+3n+4.
A triangle has two sides that measure 7 centimeters and 16 centimeters, respectively. Which statement is true about x, the length in centimeters of the third side?
7 16
x<9orx>23
Answer:
9<x<23
Step-by-step explanation:
I'm not sure if this is what it wants, but theres this theorem that says a side needs to be less than the other two combined.
x+7>16
x+16>7
16+7>x
=>
x>9
x>-9
x<23
=>
9<x<23
PLEASE HELP ME ILL MARK YOU BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
speed = [tex]\frac{distance }{time}[/tex]
Then
speed = [tex]\frac{2}{9}[/tex] ÷ [tex]\frac{4}{5}[/tex]Leave the first fraction, change division to multiplication, turn the second fraction upside down.
speed = [tex]\frac{2}{9}[/tex] × [tex]\frac{5}{4}[/tex] = [tex]\frac{5(2)}{9(4)}[/tex] = [tex]\frac{10}{36}[/tex] = [tex]\frac{5}{18}[/tex] mile per hour → B
Please look at picture answer and explain work
Answer: The answer is D. 240 grams
Step-by-step explanation:
1. Find the volume.
2cm×3cm×5cm=30 cubic centimeters
2. Find the volume of the other box.
4cm×9cm×5cm=180 cubic centimeters.
3. Divide. 180÷30=6
4. 6 times the amount it can hold, 40=240 grams of clay.
Hope that helped!
Answer:
Step-by-step explanation:
we are told that the box is 2 cm high, 3 cm wide 5 cm long and holds 40 grams of clay
so 2*3*5 = 30 [tex]cm^{3}[/tex]
so the 30 cubic centimeter volume holds 40 grams ( it would have been nice if they had let the box hold 30 grams but, no :(
40/30 = 1.333333 or 1 and [tex]\frac{1}{3}[/tex] of a gram okay, sooooo now we know each cubic centimeter holds that much clay, now let's solve for how many cubic centimeters are in the bigger box, you can try to solve it 1st if you'd like to practice, below I solve it
twice the height so 2(2)=4 high
3 times the width , so 3(3) = 9 wide
same length, so 5 long
4*9*5 = 180
180*1.33333333333 = 240 grams of clay in 2nd bigger box :)
I'm sure there is a funny box joke in there some where :DDDD
do you get the math? :)
Question 2 (5 points) ✓ Saved
Determine the value of x.
3
6
3V3
3V2
Answer:
x = 6 units
Step-by-step explanation:
For θ = 30°, Perpendicular is 3. Hypotenuse is x.
We can use trigonometry to find x.
[tex]\sin(30)=\dfrac{P}{H}[/tex]
[tex]\sin(30)=\dfrac{3}{x}\\\\x=\dfrac{3}{\sin(30)}\\\\x=6[/tex]
So, the value of x is equal to 6 units.
identify an equation in point slope form for the line perpendicular to y=-1/3x-6 that passes through (-1,5)
Which compound inequality is equivalent to | ax -b | > C for all real numbers a, b, and c, where c>0?
Hello,
Answer D
ax-b < -c or ax-b >c
If ax-b >0 then |ax-b| = ax-b ==> ax-b > c
if ax-b <0 then |ax-b|=-(ax-b) > c ==> ax-b <-c
The equivalent compoud inequality is (d) ax - b > c or ax - b < -c
How to determine the compound inequality?The absolute value expression is given as:
| ax -b | > c
Given that c > 0, then it means that:
| ax -b | > 0
So, we have the following inequalities from | ax -b | > c
ax - b > cax - b < -cHence, the equivalent compoud inequality is (d) ax - b > c or ax - b < -c
Read more about compoud inequality at:
https://brainly.com/question/24544713
Fred, a skycap at the airport, is paid
$5.15 per hour. During an 8-hour
shift, he earned $195.00 in tips. What
were his estimated total earnings for
a 40-hour week?
Answer:
401 a week
Step-by-step explanation: Fred earns $5.15 dollars plus a tip of $195 if he works for 40 hours the equation would be x=ab+c X is the week, A is the money per hour, B is the amount of hours and C is the tip X= 5.15(40)+195 5.15 times 40 is 206 then 206+195 is 401 which is your answer
HELP ME WITH THISSS PLZZZ!!!! ahh thank youu lol
which inequality represents all values of x for which the quotient below is defined? √15(x-1) ÷ √2^2
Answer:
Option D: x ≥ 1.
Step-by-step explanation:
Here we have the quotient:
[tex]\frac{\sqrt{15*(x - 1)} }{\sqrt{2*x^2} }[/tex]
Here we have two restrictions for the domain.
first, the denominator can never be zero, so x must be different than zero.
Second, the arguments of the square roots can not be negative.
The one in the denominator is always positive because we have the square of x.
So let's look at the values of x, such that:
15*(x - 1) ≥ 0
(x - 1) ≥ 0
x ≥ 1
Note that when x ≥ 1, we are also removing the problem in the denominator, then we can conclude that the fraction is defined when:
x ≥ 1.
The correct option is D
b) In a survey of 200 families, 80 were found using 'A brand ton only, 75 were found using 'B' brand tea only and each family is using at least one of the two brands, (1) Draw a Venn diagram to illustrate the above information (i) How many families are using both brande? (111) How many families are using 'A' brand? (iv) How many families are using 'B' brand?
Answer:
The answer would be D
Step-by-step explanation:
I did the quiz
Step-by-step explanation:
n(u)=200
no(A)=80
no(B)=75
ii) Using both brand=200-80-75
=45
iii)n(A)=80+45
=125
iv)n(B)=75+45
=120
Find x
Help me please
Answer:
19
Step-by-step explanation:
the sum of the squares of two positive integers is 183 if one integer is 3 less then the other, find the larger integer
Answer:
I believe the question is incorrect
Step-by-step explanation: 7 1 17 02
take the english statement and convert it to math
sum of the squares of two positive integers is 183 x² + y² = 183
one integer is 3 less than the other x = y - 3 x is three less than y
find the larger integer use the two equations to solve for y the larger number
x² + y² = 183 and x = y - 3
(y - 3)² + y² = 183
y² - 6y + 9 + y² = 183
2y² - 6y = 182 - 9
2y² - 6y = 173
2y² - 6y - 173 = 0
this equation does not result in an integer
2y² - 6y - 173 = 0
Find the slope between the points (-1,11) and (-6,-7)
Answer:
m=18/3
Step-by-step explanation:
m=-7-11/-6-(-1)
Write an equation that represents the line.
Use exact numbers.
the line passes point (0, -3) and (1, -5)
the slope = (-5+3) /(1-0) = -2/1 = -2
the y-intercept = -3
so, the equation : y = -2x -3
Emily and Kylie are 140 miles apart, traveling towards each other. If Kylie travels 12 mph and Emily travels 8 mph how long until they meet?
Answer: 7 hr
Step-by-step explanation:
Given
Distance between Emily and Kylie is [tex]140\ \text{miles}[/tex]
Speed of Emily [tex]v_e=12\ mph[/tex]
Speed of Kylie [tex]v_k=8\ mph[/tex]
Distance traveled by Emily [tex]\Rightarrow d_e=12t[/tex]
Distance traveled by Kylie [tex]\Rightarrow d_k=8t[/tex]
[tex]\Rightarrow 12t+8t=140\\\Rightarrow 20t=140\\\Rightarrow t=7\ hr[/tex]
They will meet after 7 hour.
Helppp and plss explain
Answer:
(40,30)
Step-by-step explanation:
This is when the prices are the same so they cross on the graph.
Answer:
C
Step-by-step explanation:
We want to find the ordered pair that estimates the time and cost at which the two stores charge the same amount
If the graph shows the two stores times and amount charged then wherever the two lines intersect is where the time and amount charged is the same
The two lines intersect at (40,30)
Hence the answer is C
Solve for X. Thank you
Answer:
x = 4
Step-by-step explanation:
The segment inside the triangle is an angle bisector and divides the opposite side into segments that are proportional to the other two sides , that is
[tex]\frac{15}{20}[/tex] = [tex]\frac{x+2}{14-(x+2)}[/tex]
[tex]\frac{3}{4}[/tex] = [tex]\frac{x+2}{14-x-2}[/tex] = [tex]\frac{x+2}{12-x}[/tex] ( cross- multiply )
4(x + 2) = 3(12 - x) ← distribute parenthesis on both sides )
4x + 8 = 36 - 3x ( add 3x to both sides )
7x + 8 = 36 ( subtract 8 from both sides )
7x = 28 ( divide both sides by 7 )
x = 4
An item was marked down 64% from its original price,x . The amount discounted was $30. Which equation can be used to find the original price
Answer:
OP = discount amount × 100 / discount %
Step-by-step explanation:
if I understand this correctly, the actual sale price was 36% (100-64) of the originally marked price.
original price (OP) = 100%
64% of OP = 30
1% of OP = 30/64
OP (100%) = 100 × 30/64
this could be simplified to 100 × 15/32, but this hinders is finding the global formula :
OP = discount amount × 100 / discount %
If
R = (5+T)P/3
then what is p?
Answer:
Step-by-step explanation:
R = (5+T)P/3
3R = (5+T)P
3R/ (5+T) = P
[tex]P = \frac{3R}{(5+T) }[/tex]
a pair of integers whose difference is -12
There can be infinitely many pair of integers that have the difference -12.
Examples:
1. (12),(24)
{12-24}
2. (24), (36)
{24-36}
3. (0),(12)
{0-12}
Which answer represents the range of the logarithmic function given below?
F(x) = log0.6^x
Can Someone Help Me With This ?
Answer:
its to pixelated
Step-by-step explanation:
In a college of 400 students, 45% are girls. Of the boys, 30% are football
players. How many boys are football players?
The price of an item decreased by 20% to $200. Then later the price decreased again from $200 to $150. What is the percent of decrease from the original price to the final price $150?
Answer:
40%
Step-by-step explanation:
ok so first find the og price:
100% - 20% = 80%
so 80% = 200
let the 100% be x:
x * 0.8 = 200
x= 250
100% = 250
(difference/ og price) * 100% = the percentage decrease/ increase
(250-150/250)* 100% = 40%
OR
((the final price/ og price) * 100%) - 100%
((150/250)*100%) - 100% = 40%
There was a 40% decrease from the og price to the final price of 150.
please I need answer right now pleasssseee
Find the lowest common multiple of
A. 12,18,36
B. 9,27,18
please plz plz
Answer:
1.)36
2.)54
Step-by-step explanation:
sana po makatulong gehehe
state the square root of 53-12root10
Answer: ~15.05267 (im not sure though i just used a calculator)
3/8 + 1/8 - 1/3 + 1/4 =
Answer:
0.41666666, to round up, the answer is 0.42
Step-by-step explanation:
[tex] \frac{3}{8} + \frac{1}{8} - \frac{1}{3} + \frac{1}{4} = \frac{4}{8} - \frac{1}{3} = \frac{4}{24} + \frac{1}{4} = \frac{10}{24} = \frac{5}{12} [/tex]
4x - 10 + 5x = 71 solve the equation and enter the value of x below
Answer:
x = 9
Step-by-step explanation:
First, combine like terms. Like terms are terms with the same variable as well as the same amount of said variables:
4x - 10 + 5x = 71
(4x + 5x) - 10 = 71
9x - 10 = 71
Note the equal sign, what you do to one side, you do to the other. Isolate the variable, x. Do the opposite of PEMDAS.
PEMDAS is the order of operations, and stands for:
Parenthesis
Exponents (& Roots)
Multiplications
Divisions
Additions
Subtractions
~
First, add 10 to both sides of the equation:
9x - 10 (+10) = 71 (+10)
9x = 71 + 10
9x = 81
Next, isolate the variable x by dividing 9 from both sides of the equation:
(9x)/9 = (81)/9
x = 81/9 = 9
x = 9 is your answer.
~
work out the area of the triangle 35.7m 17m 28.9m 13.6m
Answer:
N/A
Step-by-step explanation:
the question is not in depth could you add a photo
In which section of the number line is 32−−√?
where's the number line?
maybe u can attach it at the comments:)
Answer:
Section B
Step-by-step explanation:
