Answer:
(-3, -17)
Step-by-step explanation:
The best way to find the vertex is to rewrite the given quadratic in vertex form: y - k = a(x - h)^2.
The given quadratic is f(x) = 2x2 + 12x + 1. We will focus on the first two terms and "complete the square." f(x) = 2x2 + 12x + 1 can be rewritten as
f(x) = 2(x^2 + 6x) + 1, which, after completing the square, is
f(x) = 2(x^2 + 6x + 9 - 9) + 1, or
f(x) = 2( (x + 3)^2 - 9 ) + 1, or
f(x) = 2(x + 3)^2 - 17
Comparing this to
f(x) = a(x - h)^2 + k, we see that the vertex is located at (h, k): (-3, -17)
Solve the system: {4x-7y=30, 4x-5y=90
Answer:
x=60, y=30
Step-by-step explanation:
4x-7y=30
4x-5y=90
Subtract the equations
4x-7y=30-4x-5y=90
=2y=60
Solve 2y=60
Divide both sides by 2
2y/2=60/2
Simplify;
y=30
For 4x-7*30=30 for x
4x-7y*30=30
Multiply the numbers:7*30=210
4x-210=30
Add 210 to both sides
4x-210+210=30+210
Simplify;
4x=240
Divide both sides by 4
4x/4=240/4
Simplify
x=60
The solutions to the system of equations are:
x=60, y=30
Hope this helped!!!
which of the q-values satisfy the following inequality? 6-3p≤1 PLEASE HELPP
Answer:
c is the only answer that applies.
Step-by-step explanation:
i hope this helps :)
In the data set below, what are the lower quartile, the median, and the upper quartile?
15 17 41 15 50 55 55 58 62 66
Answer:
its 55
Step-by-step explanation:
find the HCF of 750,630 and 18900
Write 8.32×10 to the power of -4 in standard form
Answer:
Step-by-step explanation:
so you need to do 8.32 x 10=83.2
Consider the cases SSS, AAS, ASA, SAS, and SSA. For which of these cases are you unable to solve the triangle using only the Law of Sines?
Answer:
SSS and SASStep-by-step explanation:
To use the law of sines we need to know two angles and one side or two sides and one angle which should be opposite to one of known sides.
SSS - unable to solve as no angle is knownAAS - two angles and non-included side, able to find the missing angle solve the restASA - two angles and the included side, able to find the missing angle solve the restSAS- two sides and the included angle, unable to solveSSA - two sides and non-included angle, able to find the other angles and solve fullyI WILL GIVE BRAINIEST!! TO THE CORRECT ANSWER TO FILL IN THIS BOX I ONLY GET THE OPTION WITH A COUPLE OF ANSWERS!
Answer:
Step-by-step explanation:
The third one is
(10^3)^4 and equals 10^12
the 4th one is (10*10*10*10)(10*10*10*10) or 10^8
the last one is (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10) (10*10*10*10*10*10*10*10)
or 10^88
Mhanifa can you please help? Thanks :)
Answer:
Question 1Sum of interior angles of a pentagon
4x + 60 = 180(5 - 2)4x + 60 = 5404x = 480x = 120Question 9Angles H and G are same as the trapezoid is isosceles
8x = 10x - 382x = 38x = 19Please help I have been stuck for a while now
Answer:
B. Between x 2 and x 3
Step-by-step explanation:
find the measure of the missing angle, i’ll mark brainliest
there is a right angle and a acute angle. the mesurement of the missing angle is 62° and the right angle is 90°
Answer:
the answer is 62
Step-by-step explanation:
let me guess your teachers have lanschool air?
pleaseeee help me, i dont have much time to finish
Answer:
[tex]\sqrt{80} \\OR \\ 5\sqrt{4}[/tex]
Step-by-step explanation:
pythagorean theorm
and then simplify with a factor tree or leave it as is.
BRAINLIEST PLEASE IF RIGHT
What is the value of x?
F
83°
45°
E
D
X=
type your answer...
degrees
Answer:
x = 128°
Step-by-step explanation:
180-83-45 = 52
180 - 52 = 128°
Jack is standing on the top of the high diving board at the local pool which is 50 feet high. His friend Diane is
in the water. The direct (diagonal) distance from Jack to Diane is 75 feet. What is the angle of elevation from
Diane in the water to Jack on the diving board? Draw a picture that represents this situation and show all your
work to solve. Round your answer to the nearst WHOLE degree.
Answer:
50 + 75 = 125
Step-by-step explanation:
Find the missing side length, and enter your answer in the box below. If
necessary, round your answer to 2 decimal places.
9
12
when you are given a zero of a function and told that it has a multiplicity of 3, what does that mean?
Answer:
the zero of a function is what value you can plug in and get 0 as the answer.
having a multiplicity of 3 means that the zero is there 3 times so if your zero is 2 with multiplicity 3 then (x-2)^3 is what it looks like
Step-by-step explanation:
Mhanifa please help me with this
Answer:
NoStep-by-step explanation:
If we assume there is such a proportion, then we have the proportion:
m(x) = kx, where m is amount the person eats, k is coefficient of proportion, x is age of the personFor 5 year old we have:
m(5) = 5kFor 20 year old:
m(20) = 20kFor 60 year old:
m(60) = 60kIn reality this proportion doesn't make sense as 60 year old normally eats less than 20 year old.
(WILL GIVE BRAINLIEST) Find the total surface area of the figure shown.
ANSWER CHOICES:
319.30 yd^2
284.60 yd^2
249.60 yd^2
270.30 yd^2
what is 19 divided by 2
Answer:
9.5 or 9 1/2
Step-by-step explanation:
if their is a remainder ur answer is
9^r1
1st question: Are the angles adjacent or vertical?
2nd question: Find the value for x.m
Answer: It’s adjacent I’ll draw what vertical is. And M is 180-106 which is 74. Adjacent means next to...
Step-by-step explanation:
Given {(1, 2), (3, 5), (-2, 2), (3,6)}, choose the pair of coordinates that clarify why this
relation is not a function.
Given:
The relation is:
[tex]\{(1, 2), (3, 5), (-2, 2), (3,6)\}[/tex]
To find:
The pair of coordinates that clarify why this relation is not a function.
Solution:
A relation is called a function if there exist unique y-value for each x-value. In other words, if a relation has two outputs for a single input, then the relation is not a function.
The given relation is:
[tex]\{(1, 2), (3, 5), (-2, 2), (3,6)\}[/tex]
This relation has two y-values 5 and 6 for a single x-value 3. Since the y-value is not unique all all values of x, therefore the relation is not a function.
Hence, the pairs of coordinates (3,5) and (3,6) clarify that the given relation is not a function.
Según el ministerio de salud en número de infectados por un virus tiene un crecimiento exponencial, según el siguiente modelo matemático N=2e^0,5t donde t es el número de días transcurridos desde que se detectaron los 2 primeros casos. Fiorella una estudiante del curso de comma al ver el modelo matemático menciona que luego de 8 días el número de infectados sería 129, Jorge su compañero menciona que Fiorella está equivocada ya que el número de infectados es 109. A. ¿Quién tiene la razón? B. ¿Cuál es el número de infectados en un mes? C. ¿En que tiempo se estiman 10 000 infectados?
Answer:
A) Jorge tiene razón en su afirmación.
B) El número de infectados será de 6538035 personas en un mes.
C) Se requiere aproximadamente 5 días para alcanzar 10000 infectados.
Step-by-step explanation:
A) Sea el número de infectados por un virus representado por el modelo matemático [tex]N(t) = 2\cdot e^{0.5\cdot t}[/tex], si [tex]t = 8[/tex], entonces tenemos que la cantidad infectados por el virus sería:
[tex]N(8) = 2\cdot e^{0.5\cdot (8)}[/tex]
[tex]N(8) \approx 109.196[/tex]
En consecuencia, Jorge tiene razón en su afirmación.
B) Si tenemos que [tex]t = 30[/tex], entonces el número de infectados en un mes es:
[tex]N(30) = 2\cdot e^{0.5\cdot (30)}[/tex]
[tex]N(30) \approx 6538034.745[/tex]
El número de infectados será de 6538035 personas en un mes.
C) Si tenemos que [tex]N(t) = 10000[/tex], entonces el tiempo estimado para tal cantidad es:
[tex]t = \frac{1}{2} \ln \frac{N(t)}{2}[/tex]
[tex]t \approx 4.259\,dias[/tex]
Se requiere aproximadamente 5 días para alcanzar 10000 infectados.
A study found that there is no direct relationship between the time that 8th grade students spend brushing their teeth and their final math grade for the year. What is the correlation? positive , negative , no correlation
Answer:
no correlation
Step-by-step explanation:
because the teeth brushing had nothing to do with their grade, it would be no correlation.
The ratio of boys to girls at school today 4:7. If there are 350
boys at school today, how many girls are there? Round
down.
Answer:
There should be about 612 girls
Step-by-step explanation:
350 divided by 4 = 87.5
87.5 x 7 = 612.5
round 612.5 down, which gets 612
The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( University of Arizona Press). Before 1918the proportion of female wolves in the general population of all southwestern wolves wasabout 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theoryis that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the populationproportion of female wolvesis now less than 50% in the region?
This question is incomplete, the complete question is;
The following is based on information from The Wolf in the Southwest: The making of an Endangered Species by David E. Brown ( University of Arizona Press). Before 1918the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 34 wolves, there were only 10 females. One theory is that male wolves tend to return sooner than females to their old territories where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use ∝ = 0.01
Answer:
Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.
Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of female wolves is now less than ( 0.5 ) 50% in the region.
Step-by-step explanation:
Given the data in the question;
Hypothesis;
H₀ : p ≥ 0.5 { 50% }
H₁ : p < 0.5
This is a lower tailed test { H₁ : p < 0.5 }
sample size n = 34
number of female wolves x = 10
sample proportion p" = x / n = 10 / 34 = 0.2941176
claimed proportion P = 0.5
significance level ∝ = 0.01
we determine the standard deviation of p"
σ[tex]_{p"[/tex] = √[ (p(1 - p)) / n ] = √[ (0.5(1 - 0.5)) / 34 ]
= √[ (0.5 ×0.5) / 34 ]
σ[tex]_{p"[/tex] = 0.08575
Test statistics
[tex]z_{observed[/tex] = (p" - 0.5) / σ[tex]_{p"[/tex]
[tex]z_{observed[/tex] = (0.2941176 - 0.5) / 0.08575
[tex]z_{observed[/tex] = -2.40
so
Test statistic : -2.40
Since its a lower tailed test;
P-value = P( Z < [tex]z_{observed[/tex] ) = P( Z < -2.40 ) = 0.0082
Rejection criteria: Reject H₀ if p-value < ∝
Decision:
Since p-value (0.0082) < ∝ ( 0.01 ), we reject null hypothesis.
Therefore, at 0.01 significance level, we have sufficient evidence that the population proportion of of female wolves is now less than ( 0.5 ) 50% in the region.
Use a1=6 and d=8 to write the first 5 terms of the sequence and the 20th term.
Answer:
right
Step-by-step explanation:
s
a
k
+
1
=
a
k
+
2
and
a
1
=
6
a
2
=
a
1
+
2
=
6
+
2
=
8
a
3
=
a
2
+
2
=
8
+
2
=
10
a
4
=
a
3
+
2
=
10
+
2
=
12
and
a
5
=
a
4
+
2
=
12
+
2
=
14
and hence first five terms are
{
6
,
8
,
10
,
12
,
14
}
As
a
k
+
1
=
a
k
+
2
, each term is
2
more than previous term
it is an arithmetic sequence with first term as
a
1
and common difference
d
and hence
n
t
h
term is
a
n
=
a
1
+
(
n
−
1
)
d
and hence
n
t
h
term of the sequence is
a
n
=
6
+
(
n
−
1
)
×
2
=
6
+
2
n
−
2
=
2
n
+
4
Please answer ASAP DUE AT 8 BRAINLIEST
Answer:
the perimeter is 11cm and the area is 7cm^2
Step-by-step explanation:
NP =PS, meaning they have the same length. so the perimeter is 3.5 + 4 + another 3.5.
For the area imagine you cut the triangle in half. from P to the middle of NS. Put the 2 triangle halves together to form a rectangle. (PS is now touching NP). This would be a 2x 3.5 rectangle. 2x 3.5 is 7, meaning both this imagined rectangle and the triangle have an area of 7cm^2.
does a cylinder have lateral surfaces
Answer:
Yes it had two circular bases and a curved lateral surface.
Step-by-step explanation:
Answer:
yes it doesn't
Step-by-step explanation:
hope dis helps
help!! pls i mark brainly answer
Answer:
On the left... True
On the right... False
Step-by-step explanation:
Misha used a probability simulator to pull 3 colored marbles from a bag and flip a coin 50 times. The results are shown in the tables below: Color of Marble Number of Times Rolled Blue 20 Green 18 Yellow 12 Heads Tails 28 22 Using Misha's simulation, what is the probability of pulling a blue marble and the coin landing tails up? (5 points) a 410 over 2500 b 440 over 2500 c 32 over 50 d 42 over 50
Answer:
Its D hope this help byee
Answer:
It is D I got this correct on the test.
Step-by-step explanation:
A 12-person team is running a 123-mile marathon. Each person will run the same distance in the race. How many miles will each team member run in the marathon? please help!
Answer:
I believe each person will run 10 and 1/4 miles