The quadratic equation written in vertex form is:
y = (x + 1)^2 - 9
How to write the quadratic equation?A quadratic equation with a leading coefficient a and a vertex (h, k) can be written as:
y = a*(x - h)^2 + k
On the graph we can see that the vertex is at (-1, -9), then we have:
y = a*(x + 1)^2 - 9
Now we also can see that the y-intercept is y = -8, then evaluating in zero we should get:
-8 = a*(0 + 1)^2 - 9
-8 = a - 9
-8 + 9 = a = 1
The quadratic equation is:
y = (x + 1)^2 - 9
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Solve y∕2.5 = 5 for y.
Question 13 options:
A)
y = 11.75
B)
y = 10
C)
y = 13.25
D)
y = 12.5
Answer:
D)12.5
Step-by-step explanation:
y/2.5=5
y=5*2.5
y=12.5
If angles P and Q are supplementary angles, which of the following must always be true?
Please no link comment an actual answer please!
Answer:
180
Step-by-step explanation:
for two angles to be supplementary, their sum must be equal to 180°
The series converges by the Limit Comparison Test. Each term is less than that of a convergent geometric series. The series converges by the Limit Comparison Test. The limit of the ratio of its terms and a convergent p-series is greater than 0. The series diverges by the Limit Comparison Test. Each term is greater than that of the divergent p-series. The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Answer:
hello your question has some missing information attached below is the complete question
answer : The series diverges by the Limit Comparison Test. The limit of the ratio of its terms and the harmonic series is greater than 0.
Step-by-step explanation:
steps to determine if the series converges
step 1 : apply series limit comparison test
step 2 : consider Cauchy's convergence condition ; which states that ∑an converges if and only if for every ∈ > 0 there is a natural number N
attached below is the detailed solution
Blake is paid $8.75 an hour. He worked 6 hours and spent 1 5 of his pay on a book. How much money did he have after he paid for the book?
Answer: $42
Step-by-step explanation:
His total pay is $52.50 = 8.47x6
if he spent 1/5 then he has 4/5 left. 4/5 times 52.50 = 4(10.50 = $42
El mayor es Novecientos mil cuatrocientos ochenta y nueve , y cuarenta mil dos
El número "Novecientos mil cuatrocientos ochenta y nueve" se representa como 900,489 en notación numérica.
Por otro lado, el número "cuarenta mil dos" se representa como 40,002.
Si estamos buscando determinar cuál de estos dos números es mayor, podemos comparar las cifras en cada posición.
Comenzando desde la izquierda, el primer dígito de 900,489 es 9, mientras que el primer dígito de 40,002 es 4.
Dado que 9 es mayor que 4, podemos concluir que 900,489 es mayor que 40,002.
En general, al comparar números, se debe observar cada posición en orden de mayor a menor importancia.
Esto significa que el primer dígito a la izquierda es el más significativo y tiene más peso en el valor total del número.
Si los dígitos en la posición más significativa son iguales, se debe pasar a la siguiente posición hasta que se encuentre una diferencia.
En este caso, dado que el primer dígito de 900,489 es mayor que el primer dígito de 40,002, no es necesario comparar los dígitos en posiciones posteriores.
Por lo tanto, podemos concluir que el número "Novecientos mil cuatrocientos ochenta y nueve" (900,489) es mayor que "cuarenta mil dos" (40,002).
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Need help with this please
Answer:
7)B
8)B
9)A
10)C
Step-by-step explanation:
LET ME KNOW IF THIS HELPS.
On January 1, Year 1, the Platte Corporation issues a 5-year note payable for $5,000. The interest rate is 5% and the annual payment of $1,156, due each December 31, includes both interest and principal. Which of the following correctly shows the effect of the issuance of the note on Platte's financial statements?
The correct effect of the note issuance on Platte's financial statements is A. Cash and Notes Payable increased by $5,000 on the balance sheet and an increase in Financing Activity on the Cash Flows Statement.
What is the journal entry to record the issuance?The journal entry to record the issuance of the 5-year note payable for $5,000 by Platte Corporation on January 1, Year 1 includes:
Debit to Cash
Credit to Notes Payable.
This entry increases the Cash account, an asset that appears on the balance sheet.
It also increases the Notes Payable, a liability on the balance sheet.
On the Cash Flow Statement, the issuance is a financing activity as cash inflow is increased by the amount.
January 1, Year 1:
Note payable = $5,000
Note period = 5 years
Interest rate = 5%
Annual payment = $1,156
Thus, the note issuance does not affect the Income Statement and will not have an effect on the Equity, but Option A is correct.
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Question Completion:Answer Options are attached.
What is 6 over 10 plus 13 over 100
Answer:
73/100
73 over 100
Find the surface area of the Cylinder, will mark BRAINLIEST if correct
Answer:
About 1885 sq. ft
Step-by-step explanation:
\(v = \pi \: (10)^{2} (6) \)
Since the radius is 10ft and the height of the cylinder is 6 ft you substitute that into the formula and you receive 1884.96.
Write a sin function that has a midline of y=3, and amplitude of 2, and a period of 3/4.
The required sine function is
y = 2 sin (3π/4 (x) + 3
For given function,
A sine function that has a midline of 3, an amplitude of 2 and a period of 3pi/4
A = 2
T = 3π/4
Since we know
The values of all trigonometric functions depending on the ratio of sides in a right-angled triangle are defined as trigonometric ratios. The trigonometric ratios of any acute angle are the ratios of the sides of a right-angled triangle with respect to that acute angle.
In this case, the midline is 3
⇒ D = 3
Using the generalized equation of sine function,
y = A sin (B (x + C)) + D
y = 2 sin (3π/4 (x + 0) + 3
y = 2 sin (3π/4 (x) + 3
Therefore, the required sine function is
y = 2 sin (3π/4 (x) + 3
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Will give points please help
Answer:
Part A
Step-by-step explanation:
Did test for flvs, brainliest please ;)
Please help me! Please!
In the given situation the sample space has 16 elements and the sample space is:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
What is sample space?A sample space is a set of potential results from a random experiment.
The letter "S" is used to denote the sample space.
Events are the subset of possible experiment results.
Depending on the experiment, a sample area could contain a variety of results.
There are just two possible results when we toss a coin: either head or tail.
So, S = H, T, where H is the head and T is the tail, will be the sample space.
As a result, we are aware that there will be a total of 2n outcomes available if there are 'n' coins.
So, the coin has 2 outcomes which are H and T.
And the spinner has 8 outcomes which are 1 - 8.
Then, the sample space would be as follows:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
So, the sample space has a total of 16 elements.
Therefore, in the given situation the sample space has 16 elements and the sample space is:
1H 2H 3H 4H 5H 6H 7H 8H
1T 2T 3T 4T 5T 6T 7T 8T
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HELP I WILL GIVE BRAINLYEST PLSSS HELP
Answer:
The answer is 0.5
Answer:
rhe answer is r= .50
Step-by-step explanation:
125-75=50
Please help with this question.
57/60 in simplest form
Answer:
19/20
Step-by-step explanation:
Find the GCD (or HCF) of numerator and denominator
GCD of 57 and 60 is 3
Divide both the numerator and denominator by the GCD
57 ÷ 3
60 ÷ 3
Reduced fraction:
19
/20
Therefore, 57/60 simplified to lowest terms is 19/20.
Answer:
\(\frac{19}{20}\)
Step-by-step explanation:
To put \(\frac{57}{60}\) in simplest form, divide both nominator and denominator by 3. The answer should be \(\frac{19}{20}\).
\(\frac{57}{60} = \frac{19}{20}\)
Does 15 36 39 form a right triangle?
1521=1521 therefore a triangle has sides with lengths of 15 inches, 36 inches, and 39 inches form a right triangle.
What is Right traingle?
A right triangle is one that has an interior angle of 90 degrees. The hypotenuse, which is also the side of the right triangle that faces the right angle, is its longest side. The height and base make up the two arms of the right angle.
When we enter the values of the triangle's legs (15 and 36) and hypotenuse (39),
assuming it is a right triangle, into the Pythagoras theorem, the values of each side of the equation will be equal;
The Pythagoras Theorem is:
\(a^2+b^2=c^2\)
Making substitutions and applying the math results in:
\(15^2 + 36^2= 39^2\)
225 + 1296 = 1521
1521 = 1521
Therefore, it is a right traingle.
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Hey! I am stuck on this question anyone mind helping me? and tysm for the people who helped me! <3 have a nice day!
Answer: 166 2/3m
Step-by-step explanation:
Area of a rectangle = length times width
Length: 16 2/3
To find the width, multiply it by 3/5.
w = 16 2/3 · 3/5
w = 10
Then, multiply the length by the width.
a = l · w
a = 16 2/3 · 10
a = 166 2/3m
STUV is a parallelogram. Solve for x.
Question 2 options:
A) 10
B) 16
C) 12
D) 70
Answer:
X = 10
Step-by-step explanation:
According to the property of parallelogram
We know that, sum of angles at a same line is
180°
\(35 + (14x + 5) = 180\)
\(40 + 14x = 180\)
\(14x = 140\)
\(x = \frac{140}{14} \)
\(x = 10\)
Hope this helps u... ^_^❤️
give to reasons why do you think Sin/excise tax is so high
What is the Probability.
The value of the conditional Probability is P(A|B) is 1/3.
What is probability ?The area of mathematics known as probability deals with numerical representations of the likelihood that an event will occur or that a statement is true. An event's probability is a number between 0 and 1, where, broadly speaking, 0 denotes the event's impossibility and 1 denotes certainty.
The main distinction between a probability and a conditional probability is that a probability is the likelihood of an event, such as A, occurring, whereas a conditional probability assumes that another event, such as B, has already happened in order to define the probability of an event, such as in the conditional probability of A given B.
Conditional probability is the likelihood that any event A will occur in the presence of another event B that is related to A. P(A|B) illustrates it.
By, Conditional Probability :
P (A∩B) =P (A∩B') - P(B)= 4/9 - 1/3 = 1/9
P(A|B) = P (A∩B)/ P(B)
= (1/9)/(1/3) = 1/3
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Goran took 1/8 hours to clean the den. He took 3 1/2 hours to clean the bathroom. How much longer did it take Goran to clean the bathroom.
Answer:
it took Goran 1 hour longer to clean the bathroom than it took him to clean the den.
Step-by-step explanation:
Answer:
To convert 3 1/2 hours to an improper fraction:
3 1/2 = 7/2
So, Goran took a total of:
1/8 + 7/2 = 8/8 + 28/8 = 36/8 = 4 1/2 hours
Thus, it took Goran:
4 1/2 - 3 1/2 = 1 hour longer to clean the bathroom.
Explanation:
To solve the problem, we first need to convert the mixed number 3 1/2 to an improper fraction. We can do this by multiplying the whole number (3) by the denominator of the fraction (2) and adding the numerator (1):
3 x 2 + 1 = 7
So, 3 1/2 is equal to 7/2.
Next, we can add the time it took Goran to clean the den (1/8 hours) to the time it took him to clean the bathroom (7/2 hours):
1/8 + 7/2 = 8/8 + 28/8 = 36/8 = 4 1/2 hours
Therefore, it took Goran a total of 4 1/2 hours to clean both the den and the bathroom.
To find out how much longer it took Goran to clean the bathroom, we can subtract the time it took him to clean the den (1/8 hours) from the time it took him to clean both the den and the bathroom (4 1/2 hours):
4 1/2 - 3 1/2 = 1 hour
Therefore, it took Goran 1 hour longer to clean the bathroom than it took him to clean the den.
I need help!!!!!!!!!
Answer:
its b4 + 7b3 + 4b2 + b5 + 7b4+ 4b3= b5+8b4+11b3+4b2
Answer:
When multiplying, add the exponents, (example) remember if there is "7b" the exponent is one.
Multiply b^2 * b^3 = b^5 (add the exponent 2 + 3 = 5)
Multiply 7b * b^3 = 7b^4 (the exponent of 7b is one, add 1 + 3 for the exponent to become 4)
Multiply 4 * b^3 = 4b^3 (4 doesn't have a variable, the exponent will be 3)
b^2 * b*2 = b^4 (add exponents)
7b * b^2 = 7b^3 (add the exponents 1 + 2)
4 * b^2 = 4b^2
b^2 + 7b + 4
b^3 b^5 + 7b^4 + 4b^3
+
b^2 b^4 + 7b^3 + 4b^2
b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2
\(b^5 + 7b^4 + 4b^3 + b^4 + 7b^3 + 4b^2\)
b^5 + 8b^4 + 11b^3 + 4b^2The number 2,_00 has a missing digit . The number rounded to the nearest thousand is 3,000 lost all possibilities of the missing digit
Answer:
The digit can be 5 or higher all the way to 10
Step-by-step explanation:
Pls awnser first person right awnser mark brainliest
Answer:
x = 140°
Step-by-step explanation:
If angle DBC is 35° and angle ABD is 105°, you add them together and you get 140°.
9.2 m = _____cm (1 m = 100 cm)
Answer:
9200
Step-by-step explanation:
Evaluate Expression
-19 + 3(-13 + 4*3)
Answer:
-22
Step-by-step explanation:
Solve the expression using PEMDAS.
-19 + 3(-13 + 4 * 3)
~Multiply
-19 + 3(-13 + 12)
~Add
-19 + 3(-1)
~Multiply
-19 - 3
~Subtract
-22
Best of Luck!
5th grade math. correct answer will be marked brainliest.
Answer: 60
30
Step-by-step explanation: that’s the first two, good luck!
PLEASE HELP ANSWER THISS!!! I NEED THIS PLEASE!!! AND NO LINKS EITHER PLSS!!
It doesn't change because to add fractions, you need a common denominator. To find it, they multiplied 1/3 by 2 to make 2/6, to add to the 3/6.
PLEASE HELP WILL GIVE BRAINLIEST
The number of automobiles in a certain town was 1,890 in 2015, and it was 2,420 in 2020. If we were to make a linear model that gives the number of automobiles in this town as a function of the number of years since 2015, what would be the y-intercept?
The y-intercept of the linear model is 211,400, which represents the estimated number of automobiles in the town in the year 2015 (when the independent variable is zero).
To find the y-intercept of the linear model, we need to determine the value of the dependent variable (the number of automobiles) when the independent variable (the number of years since 2015) is equal to zero.
Let's first find the slope of the line, which represents the rate of change of the number of automobiles per year:
slope = (change in number of automobiles) / (change in number of years)
slope = (2420 - 1890) / (2020 - 2015) = 106 automobiles per year
Now we can use the point-slope form of a linear equation to find the y-intercept:
y - y1 = m(x - x1)
where y1 is the value of the dependent variable when the independent variable is x1. In this case, x1 = 2015, y1 = 1890, and m = 106 (the slope we just calculated).
y - 1890 = 106(x - 2015)
To find the y-intercept, we can set x = 0:
y - 1890 = 106(0 - 2015)
y - 1890 = -213,290
y = 211,400
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How many lines of symmetry does the figure have?