2.
Which of the following describes the parabola with the equation y = x2 + 2x + 1?
A. The axis of symmetry is x = −1 and the vertex is (−1, 0).
B. The axis of symmetry is x = 0 and the vertex is (0, 1).
C. The axis of symmetry is x = 1 and the vertex is (1, 4).
D. The axis of symmetry is x = 1 and the vertex is (1, 2).
Answer:
The answer is A. The axis of symmetry is x= -1 and the vertex is (-1,0)
Step-by-step explanation:
Answer: x=1
A. The axis of symmetry is x = −1 and the vertex is (−1, 0).
Step-by-step explanation: graph{x^2+2x+1 [-10, 10, -5, 5]}
Explanation:
This is a quadratic equation so it makes a Parabola on a graph.
Information:
x-intercept: (1,0)
y-intercept: (0,1)
vertex: (1,0)
line of symmetry: x=1
...............................................................................................................................................
The answer is option a via completing the square
y= x^2+2x+1
y= (x+1)^2+1
so it will have an aos of -1 and a vertex of (-1,0)
...............................................................................................................................................
it will have an aos of -1 and a vertex of (-1,0)
Step-by-step explanation:
made a 100%
geomtry plzzzz help 15 points
Step-by-step explanation:
RV = QV but also = PV = 26
because RVQ and RVP are both isoceles triangles.
TR = QR/2 = 24/2 = 12
because T is the middle point of RQ.
Find the measure of <2
Answer:
<2 = 28°
Step-by-step explanation:
3y+ 53 = 7y -55 (Corresponding angles)
collect like terms
-4y= -108
y= 27°
3y-53 = 28
<2 =28° (Alternating angles ; 2 parallel lines)
NEED HELP ASAP! TYSM IF YOU DO
Which of the following equations represents the greatest value of x?
Equation 1
x^2 = 17
Equation 2
x^2 = 26
Equation 3
x^3 = 64
Equation 4
x^3 = 27
Answer:
Equation 2 represents the greatest value of x!
Step-by-step explanation:
Let's solve each equation for x.
Equation 1; x = 4.1 (about)
Equation 2: x = 5 (about)
Equation 3: x = 4 (exact)
Equation 4: x = 3 (exact)
Hope this helps. :)
A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions.
a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor?
b. For 95% confidence, determine the margin of error (+ lbf)
c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators?
d. lbf) if 50 insulators were tested.
Answer:
A company produces electric insulators. The strength of the insulators is important since a broken insulator may cause a short circuit. Unfortunately, the strength varies significantly due to the material. Because of the expense, only a limited number of insulators could be tested. The engineers sampled 25 insulators (From a production run of 200), and conducted a destructive test to determine the force that was required to break the insulators. The mean value of this force was 1723 lbf with a sample standard deviation of 90 lbf. You may approximate the population standard deviation with the sample standard deviation for the following questions. a. Determine if the population is large enough or if a finite population correction (FPC) factor is needed. If so, what is the FPC factor? b. For 95% confidence, determine the margin of error (+ lbf) c. For these conditions, estimate the range of the probable population mean. Provide lower and upper values. For 95% confidence, determine the margin of error ( Assume the same mean and sample standard deviation. What is one advantage and one disadvantage of using 50 insulators instead of 25 insulators? d. lbf) if 50 insulators were tested.
Step-by-step explanation:
Select the correct answer.
(-1,1)
(0,-1)
(5,-11)
(10,-21)
What is the domain of the set of ordered pairs above?
A.
{-1, 1}
B.
{-1, 0, 5, 10}
C.
{-1, 10}
D.
{1, -1, -11, -21}
Find the exact valueFind sin theta:/2
See picture. Show steps
Answer:
Step-by-step explanation:
Use the half angle formulas
sin(θ/2) = ±√((1 - cosθ)/2)
sin(θ/2) = ±√((1 - (3/5))/2)
sin(θ/2) = ±√((2/5)/2)
sin(θ/2) = ±√(1/5)
knowing θ is in the 4th quadrant, θ/2 will be in the second quadrant where sines are positive.
sin(θ/2) = +√(1/5) = √0.2
what is an type of ratio that has both terms expressed
Answer:
rate
Step-by-step explanation:
please mark me as brainliest
The set of all numbers less than or equal to -1
Answer:
-10,-100,-8,-7,-2,-4,-5,-20,-6,-3,-7
Write in word form: 5,278.081
Answer:
.............................
ayo is 37 years old and Abdul salami is 6 years old. how many years ago was the product of their ages 96
Please help me quickly thank you!
Answer:
i think it is a if its wrong sorry
Step-by-step explanation:
Answer:
its 115
Step-by-step explanation:
if you take the angle and look at the end if the triangle it shows the end of the angle as 50. if 50 is the top and right angle and you see another angle that looks like that spliting it in half it is 115. its 115 tho because the right side of the missing angle is bigger than the left. hopefully this helps
A scientist begins with 50 milligrams of a radioactive substance that decays exponentially. After 40 hours, 25 mg of the substance remains. How many milligrams will remain after 59 hours? Round to the nearest milligram.
Based on the information given, the number of milligrams that will remain after 59 hours will be 13.125 milligrams.
Since after 40 hours, 25 mg of the substance has been removed, therefore, the rate per hour will be:
= 25/40 = 0.625.
The amount that will be removed in 59 hours will be:
= 59 × 0.625 = 36.875
The number of milligrams that will remain will be:
= 50 - 36.875 = 13.125 milligrams
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a certain manufacturer can produce f(x,y)= 20(6x^3+y^2) units of goods by utilizing x units of labor and y units of capital. Which of the following gives the marginal productivity of labor when x=10 and y=20
Answer:
e
Step-by-step explanation:
e
7. Solve. *
Tommy had 3 pounds of peanuts. If he split the peanuts up between himself
and his three friends, how many pounds of peanuts would each person gets
Answer:
0.75 is what they each get.
Step-by-step explanation:
You need to divide 3 by 4.
The copy machine at the library made a copy of Leslie 3 page essay in just 1/10 of a minute what is the speed of the copy machine
Answer:
30 pages/min
Step-by-step explanation:
Is y=1/2x+7 a function
given the equation 3x-2y=-10, identify the slope and the y-intercept
Answer:
3/2 is the slope and (0,5) is the y-intercept
Step-by-step explanation:
We need slope-intercept form for this question, so we simplify the equation into:
-2y=-10-3x which is just
y=5+3/2x =
y=3/2x+5
When we compare this to y=mx+b, we see that 3/2 is the slope and (0,5) is the y-intercept.
Answer: The slope is [tex]\frac{3}{2}[/tex] and the y-intercept is 5.
Step-by-step explanation:
The equation is 3x - 2y = -10
We need to turn 3x - 2y = -10 into slope intercept form.
y = mx + b → slope-intercept form
m = the slopeb = the y-intercept3x - 2y = -10
-3x -3x
-2y = -3x - 10
Divide the whole equation by -2
y = [tex]\frac{3}{2}[/tex]x + 5
The slope of the equation is [tex]\frac{3}{2}[/tex] and the y-intercept is -2.
Given the following exponential function, identify whether the change represents growth or decay, and determine the percentage rate of increase or decrease.
y=38(1.108)^x
what is the % increase
MTH208 Graded Assignment Unit 5 Test, Part 2. Relationships of Right Triangles, Including Trigonometry
(Score for Question 3:
of 5 points)
3. What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and
show your work
А
30
14 cm
B
Answer:
PLEASE HELP do. Not comment just to get points.
Answer: 14 cm
Step-by-step explanation: A right triangle is an isosceles triangle.
: Two manufacturers supply paper cups to a catering service. Manufacturer A supplied 100 packages and 5 were damaged. Manufacturer B supplied 50 packages and 3 were damaged. If a package is damaged, find the probability that it came from Manufacturer A.1 I.e., Find probability P(Manu
If a package is damaged, the probability that it came from Manufacturer A is 62.5%.
Given that two manufacturers supply paper cups to a catering service, and manufacturer A supplied 100 packages and 5 were damaged, while Manufacturer B supplied 50 packages and 3 were damaged, to determine, if a package is damaged, the probability that it came from Manufacturer A, the following calculation must be performed:
5 + 3 = 100 5 = X 5 x 100/8 = X 62.5 = X
Therefore, if a package is damaged, the probability that it came from Manufacturer A is 62.5%.
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Read the short scenario and answer the question that follows.
Lisa's credit card balance this month is $969.16. Her APR (annual percentage rate) is 15.24 %. The minimum payment due is $20.00.
If she pays only the minimum each month and does not add any more charges, how long will it take her to pay off the entire balance?
Choose the correct answer below.
A.
about 10 years
B.
about 6 years
C.
about 3 years
D.
about 1 year
Answer:
B
Step-by-step explanation:
Use the amortisation formula:
A = P (r(1+r)^n)/((1+r)^n - 1)
swap in your numbers
p = 969.16
A = 20
n = 0.1524/12
20 = 969.16((0.1524/12) (1+(0.1524/12))^n) / ((1+(0.1524/12))^n - 1)
Then solve for n
n = 72 months
n = 6 years
Can someone help me please
Answer:
15 - 17 = 0.013333 (1.3333%)
latte drop = 8.3%
gasoline = 9%
What is the value of x?
Answer:
41º
Step-by-step explanation:
As this is an isosceles B and D are congruent.
The sum of the angles in a triangle is 180º
Therefor
2x = 180 - 98
2x = 82
x = 41º
Write in simplest radical form.
Step-by-step explanation:
i think this is the answer if its wrong im sorry
Write the ratio as a ratio of whole numbers using fractional notation.
39 days to 15 days
Solution:
[tex] \frac{39 \: \: days}{15 \: \: days} \\ = \frac{39}{15} \\ dividing \: \: \: both \: \: \: numerator \: \: \: and \: denominator \: \: \: by \: \: \: 3 \\ = \frac{13}{5} \\ = 13 : 5[/tex]
Answer:
13:5
Hope it helps.
Do comment if you have any query.
Nate worked for 12 hours last week. He took out $33 to put in his savings account and still had $99 to spend. Write an equation to find how much money Nate made per hour.
Answer:
Do 99 / 12 = 8.25 Then to check if it works, do the opposite operation and multiply 8.25 x 4 = 33 so it works. The unit rate is $8.25 per hour.
99 / 12 = p or 99 / 12 = 8.25
Step-by-step explanation:
BRAINLIEST?
Answer:
33+99=132 132/12=11
Step-by-step explanation:
Can anyone help me with this question?
Answer: Here you go
Explanation:
Raduis is 2.5cm
Diameter 5cm
Circumference 15.70796cm or 16 rounded up because 2 times pie time 2.5 because 2.5 is the radius which if you calculate is 15.7 because 2 x 3.1415 x 2.5 = 15.7
Find the Solution in the Interval [0,2 pi]
tan(theta/7)+ square root3= 0
9514 1404 393
Answer:
no solution
Step-by-step explanation:
The solutions to the equation are ...
tan(θ/7) +√3 = 0
tan(θ/7) = -√3
θ/7 = arctan(-√3) +nπ . . . . . . . for integer n
θ = 7(-π/3 +nπ) = 7π(n -1/3)
For n=0, θ = -7π/3 -- not in the required interval.
For n=1, θ = 14π/3 -- not in the required interval.
There are no solutions in the required interval.
Based on a poll, 63% of Internet users are more careful about personal information when using a public Wi-Fi hotspot. What is the probability that among four randomly selected Internet users, at least one is more careful about personal information when using a public Wi-Fi hotspot? How is the result affected by the additional information that the survey subjects volunteered to respond? The probability that at least one of them is careful about personal information is
Answer:
So it's a big probability it's a 6 in 4 chance though. 6 is for users that are careful and 4 for users that aren't that careful.
Step-by-step explanation:
The required probability is 0.981 that at least one of them is careful about personal information.
What is the Binomial Theorem?The binomial theorem states the principle for expanding the algebraic expression (x + y)ⁿ and describes it as the total of the phrases involving the unique exponents of the x and y variables. Each word in a binomial expansion has a coefficient, which is a numerical value.
According to a survey, 63% of Internet users are more cautious about their personal information when using a public Wi-Fi hotspot.
Four randomly selected Internet users, at least one is more careful about their personal information.
As per the given question,
Here, n = 4, p = 0.63, (1 - p) = 0.37 and x = 0
As per binomial distribution formula P(X = x) = nCx × p^x × (1 - p)^(n - x)
P(X = 0) = 4C0 × 0.63^0 × 0.37^4
P(X = 0) = 0.0187
P(X ≥ 1) = 1 - 0.0187
Apply the subtraction operation, and we get
P(X ≥ 1) = 0.981
Thus, the required probability is 0.981 that at least one of them is careful about personal information.
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