Answer: [tex]-4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)[/tex]
Step-by-step explanation:
Given
Function is [tex]F(t)=t^2+19+60[/tex]
Zeroes of the function are
[tex]t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15[/tex]
Using completing the square method
[tex]y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)[/tex]
please help, much appreciated
Answer:
b=5 a=6
Step-by-step explanation:
x^5/6=x^b/a
5/6=b/a
b=5, a=6.
Answer:
a = 6
b = 5
Step-by-step explanation:
[tex] \large \boxed{ {a}^{ \frac{m}{n} } = \sqrt[n]{ {a}^{m} } }[/tex]
Plug those values in.
[tex] \large{ {x}^{ \frac{5}{6} } = \sqrt[6]{ {x}^{5} } }[/tex]
From the question, our a is 6 and b is 5.
An employee put $5,000.00 in a retirement account that offers 9% interest compounded
annually. The employee makes no additional deposits or withdrawals. Which amount is closest
to the interest the employee will have earned at the end of 5 years?
Answer:
$7693.12
Step-by-step explanation:
Use the formula P(1+r/n)^nt
So 5000(1+.09)^5
That comes out to 7693.12
Hope this helps
Brainliest would be appreciated
Toni rents bowling shoes for $6. She bowls 2 games and spends a total of $22. Write and solve an algebraic equation to find the cost of each game.
Answer:
22=2x+6
Step-by-step explanation:
you subtract 6 from both sides
that leaves u with 16=2x
then divide 2 by 16 and that equals
8
so 8=x
each game costs $8
you put the 2 in front of the x in the beginning due to Toni playing 2 games while the shoes are a one time fee.
Jack hit a combined 18 doubles and triples last baseball season. A double is two bases and a triple is three bases. If he had 42 total bases in these 18 hits, how many of these hits were triples? The solution is
Answer:
I wanna say 7 but I could be wrong
Step-by-step explanation:
The number of triples is 6.
What is a linear equation?A Linear Equation is an equation of a line. An equation in which the highest power of the variable is always 1. An equation which is expressed in the form of ax+b = 0, where a and b are two integers, and x is a variable and has only one solution.
For the given situation,
Total number of hits = 18
Doubles + triples = 18
Let x be the number of triples. Then
Number of doubles = 18-x
Number of bases for doubles = 2 bases
Number of bases for triples = 3
The equation for the above situation is
⇒ [tex]2(18-x)+3x=42\\[/tex]
⇒ [tex]36-2x+3x=42[/tex]
⇒ [tex]x=42-36[/tex]
⇒ [tex]x=6[/tex]
Hence we can conclude that the number of triples is 6.
Learn more about linear equations here
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Una familia buscá una vivienda valorizado en 200000 mil soles. Para lo cual buscan su financiamiento atravesó de 3 bancos, las cuales proponen las condiciones que se muestran en la tabla
Answer:
Banco A o banco B
Step-by-step explanation:
Question:
La tabla obtenida de una pregunta similar en el sitio se presenta a continuación;
[tex]\left |\begin{array}{ccccc}Entidad \ bancaria&Cuota \ inicial&Tasa \ de \ interes \ anual &\mid &Tiempo \ anos \\Banco \ "A"&10\%&15\%&\mid&20\\Banco \ "B"&20\%&13\%&\mid &25\\Banco \ "C"&0\%&10\%&\mid&30\end{array}\right |[/tex]
¿Qué banco es el más conveniente para financiar la vivienda familiar?
Para el banco A, tenemos;
El pago inicial = 10/100 × 200,000 = 20,000
El interés = 180.000 × 15 × 20/100 = 540.000
Importe total, A = 540.000 + 20.000 = 560.000
Para el banco B, tenemos;
El pago inicial = 20/100 × 200,000 = 40,000
El interés = 160.000 × 13 × 25/100 = 520.000
Importe total, B = 520.000 + 40.000 = 560.000
Para el banco C, tenemos;
El pago inicial = 0/100 × 200,000 = 0
El interés = 200.000 × 10 × 30/100 = 600.000
Monto total, C = 600,000 + 00 = 600,000
Por lo tanto, la familia debe seleccionar el banco A o el banco B que tenga el monto total de reembolso más bajo
How do I find the indicated value for this problem?
Answer: an = a1 +
Step-by-step explanation:
How do you do this?
Find M
Answer:
Step-by-step explanation:
Let angle ABZ be angle 1 and angle ZBC be angle 2.
Angle 1 = 85 degree
Angle 2 = 6x + 9
measure of angle ABC = 24x+4
Angle 2 = ABC - 85
6x + 9 = 24x + 4 - 85
6x - 24x = 4 - 85 - 9
-18x = -90
x = -90/-18 = 90/18 =
x = 5
Therefore the measure of angle 2 = 6*5 + 9 = 30+9 = 39 degree
Therefore the measure of angle ZBC = 39 degree
Hope you understand
Please mark as brainliest
Thank You
In the diagram below, FED ~ ACEG. Find d. 5 m 의 4 m E 10 m Write your answer as a whole number or a decimal. Do not round. meters
Answer:
Step-by-step explanation:
k
Coach Smith purchased x footballs and y basketballs at a sporting goods store. The price of one football was $35.00 and the price of one basketball was $45.00. There was no tax included on the purchase. Part A. Write an expression that can be used to find the total cost of x footballs and y basketballs. Part B. The total cost of the purchase was $455.00. If Coach Smith purchased 4 footballs, find the number of basketballs he purchased.
Olivia bought some granola bars and spent at least $6.24. Write and solve an equality to find the number of granola bars she bought. Explain the real-world meaning of the solution.
Answer:
n ≥ 6.24/x
Step-by-step explanation:
Given that :
Amount spent is atleast $6.24
Let price spent = p
p ≥ $6.24
If cost of granola bar = x
The number of granola bars, n purchased will be :
n ≥ 6.24/x
Since cost of granola bar isn't given, we represent it as x.
which expression could be used to find the value of x in the diagram WILL MARK BRAINLIEST
Answer:
[tex]sin 35 = \frac{opposite}{hypotenuse} \\\\\\sin 35 = cos(90-35) \\\\cos 55= \frac{opposite}{hypotenuse} = \frac{12}{x}[/tex]
option A
Examples of consecutive even numbers would be 20, 22, 24, etc........What is the larger of the two, consecutive (positive) even numbers that have a product of 1848? Your answer will be a whole number; do not use any letters or special characters.
PLEASE HELP ME, AND THANK YOU!
Using the net below, find the surface area
of the pyramid.
7 in.
3 in.
n.3 in.
Surface Area
[?] in.2
I
Enter
Answer
Answer:
51 in²
Step-by-step explanation:
formula of a triangle: [tex]\frac{1}{2}[/tex]bh
the base is 3 and the height is 7
1/2(3)(7)
1/2(21)=
10.5
Since there are 4 of these same triangles, we multiply by 4.
10.5 · 4 = 42 in²
formula of a square: bh
base is 3 and height is 3
(3)(3) =
9 in²
add them together and you get your answer of 51 in²
What is the average of these three numbers?
4,293 4,216 4,304
I believe this is goodbye i hope i helped u guys.
if not receive this as a token of my appreciation
Answer:
goodbye??? what're you going to bed? you alr my dude?
Step-by-step explanation:
A health worker is interested in determining if omega-3 fish oil can help reduce cholesterol in adults. She obtains permission to examine the health records of 200 people in a large medical clinic and classifies them according to whether or not they take omega-3 fish oil. She also obtains their latest cholesterol readings and finds that the mean cholesterol reading for those who are taking omega-3 fish oil is 18 points lower than the mean for the group not taking omega-3 fish oil. This is an example of
Answer:
This is an example of a;
T-test
Step-by-step explanation:
A t-test is a statistic test from which inferences can be drawn based on weather the difference in the means of two sample groups that could have particular common characteristics. The t-test is used for data sets that are normally distributed and the variance may be unknown
The t-test is used to test a proposed hypothesis (assumption) about a population
Therefore, based on the interest of the health worker to determine if omega-3 fish oil can help reduce cholesterol in adults by finding the difference in the means for the group taking omega-3 fish oil and the group not taking omega-3 fish oil, from which it can be determined if the difference in mean is statistically significant, is an example of a t-test
Your friend finds the perimeter of the figure. Is your friend correct?
No shes not.
You need to add all the sides if finding perimeter
Answer:
no
Step-by-step explanation:
the equation should only have one 5, the other 5 doesn't matter for perimeter
2x + 2y = -2
3x - 2y = 12
Solve By Elimination
Pls give me the hole equation
Answer:
x = 2
y = -3
Step-by-step explanation:
2x + 2y = -2, then 2y = -2 - 2x
3x - 2y = 12, then 2y = 3x - 12
so:
-2 - 2x = 3x - 12
add 2x and 12 to each side of the equation:
5x = 10
divide both sides by 5:
x = 2
2y = 3(2) - 12
2y = -6
divide both sides by 2:
y = -3
This should be the last question for the day...hopefully
What this I’m trying to figure it out ASAP plz help
Answer:
i hink c or a
Step-by-step explanation:
Properties
A line segment is a connected, non-empty set.
If V is a topological vector space, then a closed line segment is a closed set in V. However, an open line segment is an...
More generally than above, the concept of a line segment can be defined in an ordered geometry.
A pair of line segments can be any one of the following: intersecting, parallel, skew, or none of...
Give an example of a pair of variables where there would likely be a correlation, but no causation.
Answer:
Number of people with polio.
Ice cream sales.
Seems like a weird thing to be correlated but I saw a graph with this example and people used to think that ice cream was the reason for polio. It's obvious there's no causation!
hope this helps!!
FOLKS I NEED YO HELPPP
PLZZZ HELPPP MEEE REWARD BRAINLIESSTT TO BEST ANWSERRR
Answer:
[tex]Q1 . (11x + 9) - (5x +1) = 11x + 9 -5x - 1 = 6x + 8[/tex]
option 1
[tex]Q2. \ \ 6(2x -3)+4=16-(-18)\\[/tex]
[tex]12x - 18 + 4 =16 +18\\12 x -14 = 34\\12x = 34 + 14 \\12x = 48\\x = 4[/tex]
option 4
[tex]Q3 .f(x) = 2x, \ g(x) = -2x^3 +2x\\[/tex]
[tex]f(x) + g(x) = -2x^3 +4x[/tex]
option 3
[tex]Q4. \ \sqrt{18x^3y5^}[/tex] [tex]= \sqrt{2*3^2*x^3*y^5} = 3*x*y^2\sqrt{2*x*y} = 3xy^2\sqrt{2xy}[/tex]
option 2
I need Help! Please help I really don’t know how to anwser it no links will report I really need help will make brainliest :(
Answer:
16/50 or 8/25
Step-by-step explanation:
Good luck. Hope you get a good grade
f(x) = (x - 2)3 + 2x
Answer:
5x-6
Step-by-step explanation:
Jordan scored 19 points during a basketball game. She made a total of 9 baskets.
If Jordan made only one-point free throws and three-point baskets, how many of each did she make?
A
1 one-point basket; 6 three-point baskets
B
4 one-point baskets; 5 three-point baskets
C
5 one-point baskets; 4 three-point baskets
D
6 one-point baskets; 3 three-point baskets
Answer:
B) 4 one-point baskets: 5 three-point baskets
Step-by-step explanation:
(4 x 1) + (5 x 3) = 19
Answer:
B
Step-by-step explanation:
5x3=15
4x1=4
15+4=19
PLUS a total of 9 baskets.
Therefore, your answer is B
What is 4 1/8 in decimal form
Multiple choice PLEASE HELP
Answer:
I think it is B
Step-by-step explanation:
Sorry if it is wrong
PLSSSS HELP IMMEDIATELY!!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!
1:3 I think **************
I need help with math
Answer:
Its the second one
Step-by-step explanation: