how to solve 9x^2+9x+2
Answers
Answer:
factoring: ( 3 x + 1 ) ( 3 x+ 2 )
expressing/equation: 9x²= 81x
81x + 9x + 2=
9x+81x=90x
90x + 2
Step-by-step explanation:
Related Questions
Complete the recursive formula of the arithmetic
sequence -16,-33,-50,-67
Answers
The recursive formula of the arithmetic sequence is
\(\left \{ {{a(1) = -16} \atop {a(n)=a(n-1)-17}} \right.\) given that arithmetic sequence -16,-33,-50,-67.
This can be obtained by finding first term of the sequence and the pattern rule to get any term from the term that comes before it.
Find the recursive formula of the given arithmetic sequence:
A recursive formula designates the starting term, a₁, and the nth term of the sequence, aₙ, as an expression containing the previous term (the term before it).
It is a formula that defines each terms of a sequence using preceding term.
Recursive formulas give us two pieces of information:
The first term of the sequenceThe pattern rule to get any term from the term that comes before it
Here i the question it is given that,
the arithmetic sequence -16,-33,-50,-67
⇒ a₁ = -16 , a₂ = -33, ...
We have to find the recursive formula of the arithmetic sequence.
The first term, a₁ = -16
the second term, a₂ = -33
the common difference, d = a₂ - a₁
d = -33 -(-16)
d = -33 + 16
⇒ d = - 17
Hence from the arithmetic sequence, the first term is -16 and the rule to get any term from its previous term is add -17.
a(n) = a(n-1) - 17
Therefore the recursive formula of the given arithmetic sequence is
\(\left \{ {{a(1) = -16} \atop {a(n)=a(n-1)-17}} \right.\) given that arithmetic sequence -16,-33,-50,-67.
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Which number is greatest? A. 3.4 × 10-2 B. 4.3 × 10-3 C. 5.2 × 10-4 D. 6.1 × 10-4
Answers
Mathwy is To solve this type of3.4 x 10-2 PEMDAS
Tanmayi wants to raise $175 for a school funraiser. She has raised $120 so far. How much more does she need to reach her goal? (unsolved equation)
Answers
The amount of money a store earns during each hour one day can be modeled by the function y = -8x^2 + 64x – 60, where y is in dollars and x is the time in hours from when the store opens. During which hour will the store earn $68?
Answers
Answer:
go to photo math thank me later
Step-by-step explanation:
Answer: After “4 hours” of work will the store earn $68.
Step-by-step explanation: To find the answer you plug in 4 into all values of x in the equation it looks like this y = -8(4)^2 + 64(4) - 60. Once you multiply, the numbers it turns into is y = -128 + 256 - 60. Then. Once you do all the addition and subtraction you get y = $68.
Have a nice day!
What is the coordinate of point P that lies along the directed line segment from Q(2, 5) to R(7, 12) and partitions the segment in the ratio of 3 to 2? (3, 4.2) (4.5, 8.5) (5, 9.2) (5, 7)
Answers
Answer:
(C)(5,9.2)
Step-by-step explanation:
Given points Q(2, 5) and R(7, 12). We are to determine the coordinate of point P that lies along the directed line segment which partitions the segment in the ratio of 3 to 2.
For internal division of a line segment, the coordinate of the point which partitions the segment in the ratio m:n is given as:
\(\left(\dfrac{mx_2+nx_1}{m+n} , \dfrac{my_2+ny_1}{m+n}\right)\)
m:n =3:2
\((x_1,y_1)=Q(2,5)\\(x_2,y_2)=R(7,12)\)
Therefore:
\(P(x,y)=\left(\dfrac{3*7+2*2}{3+2} , \dfrac{3*12+2*5}{3+2}\right)\\=\left(\dfrac{25}{5} , \dfrac{46}{5}\right)\\P(x,y)=(5,9.2)\)
4# is a two digit number ,where # represents the digit at ones place . 7999 ÷ 4# lies between ---------
Answers
Answer:
\(7999 \div 4\#\) lies between 163.245 and 199.975
Step-by-step explanation:
Given
2 digit = 4#
Required
The range of \(7999 \div 4\#\)
Let
\(\# = 0\) --- the smallest possible value of #
So:
\(7999 \div 40 = 199.975\)
Let
\(\# = 9\) --- the largest possible value of #
So:
\(7999 \div 49 = 163.245\)
Hence, \(7999 \div 4\#\) lies between 163.245 and 199.975
Solve the differential equations 2xy(dy/dx)=1 y^2. y(2)=3
Answers
The solution to the given differential equation 2xy(dy/dx) = y², with the initial condition y(2) = 3, is y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\).
To solve the given differential equation
2xy(dy/dx) = y²
We will use separation of variables and integrate to find the solution.
Start with the given equation
2xy(dy/dx) = y²
Divide both sides by y²:
(2x/y) dy = dx
Integrate both sides:
∫(2x/y) dy = ∫dx
Integrating the left side requires a substitution. Let u = y², then du = 2y dy:
∫(2x/u) du = ∫dx
2∫(x/u) du = ∫dx
2 ln|u| = x + C
Replacing u with y²:
2 ln|y²| = x + C
Using the properties of logarithms:
ln|y⁴| = x + C
Exponentiating both sides:
|y⁴| = \(e^{x + C}\)
Since the absolute value is taken, we can remove it and incorporate the constant of integration
y⁴ = \(e^{x + C}\)
Simplifying, let A = \(e^C:\)
y^4 = A * eˣ
Taking the fourth root of both sides:
y = (A * eˣ\()^{1/4}\)
Now we can incorporate the initial condition y(2) = 3
3 = (A * e²\()^{1/4}\)
Cubing both sides:
27 = A * e²
Solving for A:
A = 27 / e²
Finally, substituting A back into the solution
y = ((27 / e²) * eˣ\()^{1/4}\)
Simplifying further
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
Therefore, the solution to the given differential equation with the initial condition y(2) = 3 is
y = (27 * e⁽ˣ⁻²⁾\()^{1/4}\)
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a farmer would like to determine if crops in the western fields are dying at a higher rate than crops in the eastern fields. the farmer takes a random sample of 12 crops in each set of fields. should these samples be considered independent? why or why not?
Answers
Alright! Let's imagine the farmer's land as a huge pizza, with the western fields being on one half, and the eastern fields being on the other half. Imagine the crops are like the toppings scattered across this pizza.
Now, when the farmer takes a random sample of 12 crops from the western fields, it's like picking 12 toppings from the left half of the pizza. Similarly, taking a sample of 12 crops from the eastern fields is like picking 12 toppings from the right half of the pizza.
Now, let's talk about the term "independent". When we say that two samples are independent, we mean that picking items from one sample doesn't affect what might be picked in the other sample. Imagine if you had a bag of red marbles and a bag of blue marbles. If you pick some red marbles, it doesn’t change what's in the bag of blue marbles. They're independent.
Back to the pizza analogy: since the western and eastern fields are two separate halves of the land (like two halves of the pizza), picking crops from the western fields doesn't affect the crops in the eastern fields, and vice versa. They are like two separate bags of marbles.
This is why we can say that the samples the farmer takes from the western and eastern fields are independent. It’s because the health or the state of the crops in the western fields doesn’t change what’s going on with the crops in the eastern fields, and picking 12 crops from one side doesn't change what you could pick from the other side. The two groups of crops are doing their own thing, like dancers in two separate dance studios.
In summary, when the farmer takes 12 crops from the western fields and 12 crops from the eastern fields, these samples are considered independent because what happens in one field doesn’t mess with what happens in the other field. They are like two separate pizzas with their own toppings, or like two bags of marbles minding their own business.
3.3142 pounds converted into kilograms
Answers
Answer:
7.30656029
Step-by-step explanation:
Answer:
1.50329583
Step-by-step explanation:
FORMULA
for an approximate result, divide the mass value by 2.20462262
What is 30% of 85  URGENT
Answers
Answer: 30 percent of 85 is 25.5
Answer:
the answer is 25.5
Step-by-step explanation:
this is because 85 in our question is equivalent to thus you just need to cross multiply
Choose the correct graph of the function y = x +1
Answers
Answer:
No answer
Step-by-step explanation:
y=x+1 is a LINE
the _____ of a trapezoid is a segment whose endpoints are the midpoints of its legs.
Answers
Answer:
The segment that connects the midpoints of the legs of a trapezoid is called the median of the trapezoid.
Step-by-step explanation:
which points are on the line that connects points (0, 4) and(1, 2) Select that all apply.
(4, 0)
(2, 0)
(0.5, 3)
(-1, 6)
(0,2)
(3,1)
Answers
What is the range of the function represented by this graph? the graph of a quadratic function with a minimum value at the point (-3,1)
A. y ≤ 1
B. -4 ≤ y ≤ -2
C. y ≥ 1
D. all real numbers
Answers
Answer:
I think the answer is C......
Answer:
A. y ≤ 1
Step-by-step explanation:
Consider the table of the powers of 8.
A 1-column table with 6 rows. Column 1 is labeled Power of 8 with entries 8 cubed = 512, 8 squared = 64, 8 Superscript 1 = 8, 8 Superscript 0 = a, 8 Superscript negative 1 = b, 8 Superscript negative 2 = c.
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
What is the value of each variable in the table?
a =
b =
c =
Answers
What is the pattern as the exponents decrease?
Divided by 8
What is the value of each variable in the table?
A= 1
B=1/8
C=1/64
Hope this helped!
Pls consider me for Brainliest!!
Answer:
Step-by-step explanation:
Answer these questions about the powers of 8.
What is the pattern as the exponents decrease?
✔ divided by 8
What is the value of each variable in the table?
a =
✔ 1
b =
✔ 1/8
c =
✔ 1/64
3. (03.01)Which expression is equivalent to 3(5 + 6)?8+98 + 615 + 1815 + 6
Answers
The expresion is 3(5 + 6). The expression is represented
A store pays 37$ for an iron bench. The store marks up the price by 10%. What is the amount of the mark-up?
Answers
Answer:
The amount of the markup is $3.70
Step-by-step explanation:
Choose the correct expression using the fewest number of bases possible that is equivalent to the current expression. Let x and y be positive integers and x>y. 11x11y=? Question 3 options: 11x+y 11x−y 11xy 11y−x
Answers
Answer:
11^(x-y)
Step-by-step explanation:
If there is a same number which is divided by the same number, but with different powers, then we subtracted down value from the upper one.
Example: 17^7/ 17^5
=> 17^(7-5)
=> 17^2
So, the answer to this question is 11^(x-y).
Please Help! You Dont Have To do the Bottom Questions Just The Top!
Answers
a. 0.5 + 0.3 = 0.8
b. 2.7 + 28.8 = 30.9
c. 3.1 + 2.4 + 9.9 = 15.4
d. 15.2 + 1.4 + 0.8 = 17.8
e. 39.2 + 2.5 + 0.8 = 42.3
Step-by-step explanation:
a. 0.54 rounded to the nearest 10th will be 0.5 because 4 doesn't round up numbers. 0.278 rounded to the nearest tenth will be 0.3 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 0.5 and 0.3, you get 0.7.
b. 2.65 rounded to the nearest 10th will be 2.7 because any number equal to or greater than 5 rounds up the number in front of itself. 28.17 rounded to the nearest 10th will be 28.2 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 2.7 and 28.2 you get 30.9.
c. 3.09 rounded to the nearest 10th will be 3.1 because any number equal to or greater than 5 rounds up the number in front of itself. 2.41 rounded to the nearest 10th will be 2.4 because 4 doesn't round up the number. 9.86 rounded to the nearest 10th will be 9.9 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 3.1 + 2.4 + 9.9, you get 15.4.
d. 15.234 rounded to the nearest 10th will be 15.2 because 3 doesn't round up the number. 1.37 rounded to the nearest 10th will be 1.4 because any number equal to or greater than 5 rounds up the number in front of itself.
0.76 rounded to the nearest 10th will be 0.8 because any number equal to or greater than 5 rounds up the number in front of itself. When you add 15.2 + 1.8 + 0.8, you get 17.8.
e. 39.18 rounded to the nearest 10th will be 39.2 because any number equal to or greater than 5 rounds up the number in front of itself. 2.48 rounded to the nearest 10th will be 2.5 because any number equal to or greater than 5 rounds up the number in front of itself. 0.84 rounded to the nearest 10th will be 0.8 because 4 doesn't round up the number. 39.2 + 2.3 + 0.8 = 42.3
Work out the volume of the cone give the answer to 3 significant figures plz help
Answers
Answer:
i think the answer is 1010
Step-by-step explanation:
1/3 × 3.142 × 8^2 × 15
What is the length? Thank you!
Answers
By applying definition of ratios, the ratios associated to each pair of lengths:
NR : NW = 2 / 5 : 1RT : WH = 2 / 5 : 1RT : KX = 3 / 8 : 1How to determine ratios from a geometric systemIn this problem we have the case of a geometric system generated by three proportional triangles, of which we must derive the length of ratio related to two similar sides. First, we determine the lengths of each line segment:
NR = √(2² + 2²)
NR = 2√2
NW = √(5² + 5²)
NW = 5√2
RT = 6
WH = 15
KX = 24
Lastly, we calculate the ratios associated with each pair of lengths according to the definition of ratio:
NR : NW = 2√2 : 5√2
NR : NW = 2 / 5 : 1
RT : WH = 6 : 15
RT : WH = 2 : 5
RT : WH = 2 / 5 : 1
RT : KX = 6 : 24
RT : KX = 3 : 8
RT : KX = 3 / 8 : 1
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Colton sold a total of 28 tee shirts and sweatshirts as a fundraiser for his football team. If tee shirts cost 12 dollars each and sweatshirts cost 20 dollars each and he raised a total of 424 dollars how many tee shirts did he sell?
Answers
Answer:
11 sweatshirts and 17 t shirts
Step-by-step explanation:
\(t + s = 28\\12t = 20s = 424\)
Step one: cancel out one variable. In this one, t.
\(-12(t + s = 28)\\-12t -12s =-336\)
Now that we have that, subtract that from the other expression.
\(12t + 20s = 424\\-12t -12s = 336\)
You should get:
\(8s = 88\\ s = 11\)
Plug s in any expression
\(t + 11 = 28\)
You should know where to go from there, I'm lazy :p
Then t = 17
GOod Luck!!!!
Find the slope and y-intercept for the graph of the equation: 9x - 3y = 81
Answers
the slope of the graph is 3 and the y-intercept is -27. This means that the graph crosses the y-axis at the point (0,-27).
Answer:
y = -3x - 27
Step-by-step explanation:
9x - 3y = 81
-3y = 9x + 81
-3y/3 = 9x/3 + 81/3
-y = 3x + 27
y = -3x - 27
What is the Surface Area of the Triangular Prism below?
Answers
Answer:
c ) 2480 cm²
Step-by-step explanation:
Surface Area of a Triangular prism =
S = bh + lb + 2ls
b = 30cm
h = 8cm
s = 17 cm
l = 35cm
The surface area = 30cm × 8 cm + 35 × 30 cm + 2(35 × 17)
= 240 cm² + 1050 cm² + 1190 cm²
= 2480 cm²
Option c is the correct option
Catherine decides to think about retirement and invests at the age of 21 . She invests $25,000 and hopes the investment will be worth $500,000 by the time she turns 65 . If the interest compounds continuously, approximately what rate of growth will she need to achieve his goal? Round to the nearest tenth of a percent.
Answers
Catherine must attain an approximate growth rate of 4.08% to accomplish her investment objective of $500,000 by when she reaches 65.
We can use the continuous compound interest calculation to calculate the estimated rate of increase Catherine would require to attain her investment goal:
\(A = P * e^{(rt)},\)
Here A represents the future value,
P represents the principal investment,
e represents Euler's number (roughly 2.71828),
r represents the interest rate, and t is the period.
In this case, P = $25,000, A = $500,000, t = 65 - 21 = 44 years.
Plugging the values into the formula, we have:
\(500,000 =25,000 * e^{(44r)}.\)
Dividing both sides of the equation by $25,000, we get:
\(20 = e^{(44r)}.\)
To solve for r, we take the natural logarithm (ln) of both sides:
\(ln(20) = ln(e^{(44r)}).\)
Using the property of logarithms that ln(e^x) = x, the equation simplifies to:
ln(20) = 44r.
Finally, we solve for r by dividing both sides by 44:
\(r = \frac{ln(20) }{44}.\)
Using a calculator, we find that r is approximately 0.0408.
To express this as a percentage, we multiply by 100:
r ≈ 4.08%.
Therefore, Catherine must attain an approximate growth rate of 4.08% to accomplish her investment objective of $500,000 by when she reaches 65.
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Can you help me with this i will give you a branliest
Answers
a high school student wants to select a career that makes a lot of money. so, he decides to study the relationship between how much education people get and their starting salaries. which statistical method would be best to use in this situation? g
Answers
Answer:
He would have to use the method of polling
Step-by-step explanation:
Polliong would be the method used to solve hope this help
Jackson is building a sandbox for his son. He needs to fill it with about 1 1 /2 feet of sand. If his sandbox is 4 feet by 2 feet and sand comes in bags that fill two cubic feet of space, how many bags will Jackson have to buy in order to fill his son’s sandbox?
Answers
Answer:
6 Bags
Step-by-step explanation:
Volume: LxWxH
L=4
W=2
H=1 1/2
8x 1/12= 12
12/2 = 6
Ans: 6 Bags
A 2-column table with 5 rows. The first column has entries empty, time of trial number 1 (seconds), time of trial number 2 (seconds), time of trial number 3 (seconds), average time (seconds). The second column labeled one quarter checkpoint has entries 2.15, 2.05, 2.02, 2.07.
Use the table to answer the questions.
What is the fastest time trial for the first quarter checkpoint? ______________
seconds
What is the slowest time trial for the first quarter checkpoint? __________
seconds
What is the range of times measured for this checkpoint? ___________
seconds
Answers
Answer:
2.02
2.15
0.13
Step-by-step explanation:
Fastest time = smallest value = 2.02 secs
Slowest time = largest value = 2.15 secs
Range = largest value - smallest value = 2.15 - 2.02 = 0.13 secs
Answer:
2.02
2.15
0.13
Step-by-step explanation:
The guy/gal/person above me is correct
find the exact value of cos 105 degrees by using the half-angle formula
Answers
The exact value of the cos 105 degrees by the using the half angle formula is -0.2588.
To find the exact value of cos(105°) using the half-angle formula, we first need to express 105° as half of another angle. Since 105° is equal to 210°/2,
we can use the half-angle formula for cosine:
cos(x/2) = ±√[(1 + cos(x))/2]
In our case, x = 210°. Now, we need to find the value of cos(210°):
210° lies in the third quadrant, where both sine and cosine are negative. To find the reference angle, subtract 180°:
210° - 180° = 30°
So, cos(210°) = -cos(30°) = -√3/2.
Now, let's plug the value of cos(210°) into the half-angle formula:
cos(105°) = ±√[(1 - √3/2)/2]
Since 105° lies in the second quadrant, where cosine is negative, we choose the negative root:
cos(105°) = -√[(1 - √3/2)/2]
=-0.2588
Explanation:- Here to find the value of the cosine 105 degree by using the half angle formula first we write the half angle formula of the cosine and substituted x=210 degree and simplify.
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