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]
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!
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...
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.
FOLKS I NEED YO HELPPP
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
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
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.
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
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.
What is the average of these three numbers?
4,293 4,216 4,304
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
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:
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
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
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
PLSSSS HELP IMMEDIATELY!!!!! ILL MARK BRAINIEST IF U DONT LEAVE A LINK OR GUESS!!!!
1:3 I think **************
Multiple choice PLEASE HELP
Answer:
I think it is B
Step-by-step explanation:
Sorry if it is wrong
How do I find the indicated value for this problem?
Answer: an = a1 +
Step-by-step explanation:
f(x) = (x - 2)3 + 2x
Answer:
5x-6
Step-by-step explanation:
I need help with math
Answer:
Its the second one
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
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!!
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
What is 4 1/8 in decimal form
This should be the last question for the day...hopefully
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
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
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
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.
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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