7.
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 (1,4).
s
B.The axis of symmetry is x = 1 and the vertex is (1, 2).
rabolas
C.The axis of symmetry is x = 0 and the vertex is (0, 1).
as
D.The axis of symmetry is x = -1 and the vertex is (-1,0).
arabolas
Answers
y= x^2+2x+1
y= (x+1)^2+1
so it will have an aos of -1 and a vertex of (-1,0)
The axis of symmetry is x = -1 and the vertex is (-1,0). Therefore, option D is the correct answer.
What is quadratic equation of graph?A quadratic function is one of the form f(x) = ax² + bx + c, where a, b, and c are numbers with a not equal to zero. The graph of a quadratic function is a curve called a parabola.
The given quadratic equation is y=x²+2x+1.
From the graph axis of symmetry is x=-1
Rewrite in vertex form and use this form to find the vertex (h,k).
(-1, 0)
Therefore, option D is the correct answer.
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Related Questions
X=number of hours
Y=number of tents made
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
What is the slope? What does it represent?
Answers
Answer:
[tex]Slope = 1[/tex]
It represents: The number of tents made in an hour
Step-by-step explanation:
Given
X=0,1,2,3,4,5,6,7,8
Y=6,7,8,9,10,11,12,13,14
Required
Determine the slope
The slope is calculated as:
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Pick any two corresponding values of x and y
[tex](x_1,y_1) = (0,6)[/tex]
[tex](x_1,y_1) = (8,14)[/tex]
[tex]Slope = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]Slope = \frac{14 - 6}{8 - 0}[/tex]
[tex]Slope = \frac{8}{8}[/tex]
[tex]Slope = 1[/tex]
It represents: The number of tents made in an hour
Joelle wants to place an oversized image which is 30.51 cm wide so that it appears centered on the page. The width of the page is 21.59 cm. In the program, horizontal positions to the right of the leftmost edge of the page are positive. What horizontal position for the left edge of the image should Joelle use to center the image?
Answers
-4.46cm
Step-by-step explanation:
The horizontal midpoint of the page is;
The horizontal midpoint of the image is given as;
For the image to be centered, these to midpoints must be on the same point in the axis.
If we take the leftmost edge of the paper to be point zero on the axis, then, the distance accommodated by the paper is 10.795cm. The distance that goes beyond this leftmost edge is computed as;
On the axis, this is on the negative side. Therefore, the horizontal position for the left edge of the image that Joelle should use to center the image is -4.46cm.
Which term best describes the expression 2x + 2dy−3?
Monomial
Not a polynomial
Trinomial
Binomial
Answers
Answer:
the term is separated by minus (-) and plus (+) .
therefore this term is trinomial.
Mark me brainliest if satisfied with answer
Using the inverse trig functions, find the measure of angle Z to the nearest degree.
1. 19 degrees
2. 90 degrees
3. 20 degrees
4. 71 degrees
Answers
Answer:
4
Step-by-step explanation:
because y is 90 and x is 20 so z is 71
If an independent-measures design is being used to compare two treatment conditions, then how many different groups of participants would be needed and how many scores would there be for each participant
Answers
Answer:
2 groups and 1 score for each participant
Step-by-step explanation:
An independent measures design is a defined as a research method whereby multiple experimental groups are examined and the participants will only be in one group. Now, each participant will only be affected by one condition of the independent variable during the experiment.
In the question given, we want to use the method I just described to compare two treatment conditions.
This means that there will be two groups and each participant in both groups will be assigned one score.
For each ångle pair, tell whether they are congruent or supplementary
Answers
Answer:
1&3 are supplementary
3&6 are congruent
4&5 are supplementary
2&3 are congruent
1&6 are supplementary (not sure about this one)
Step-by-step explanation:
a+4b=-4 a+10b=-16
how to solve this problem
Answers
Answer:
a = 4
b = -2
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Equality PropertiesSolving systems of equations using substitution/eliminationStep-by-step explanation:
Step 1: Define Systems
a + 4b = -4
a + 10b = -16
Step 2: Rewrite Systems
a + 4b = -4
Subtract 4b on both sides: a = -4 - 4bStep 3: Redefine Systems
a = -4 - 4b
a + 10b = -16
Step 4: Solve for b
Substitution
Substitute in a: -4 - 4b + 10b = -16Combine like terms: -4 + 6b = -16Isolate b term: 6b = -12Isolate b: b = -2Step 5: Solve for a
Define equation: a + 4b = -4Substitute in b: a + 4(-2) = -4Multiply: a - 8 = -4Isolate a: a = 4 translate the sentence into an equation
Eight times the sum of a number and 6 is 9.
use the variable w for the unknown number
Answers
Answer:
8(w+6)=9
You must add parentheses to show the order in which you will complete the problem. Because it says “eight times the sum of a number and 6” you have to find the sum first, then multiply 8.
I have three marbles in a bag. One is purple and the other two are green. What is the probability of pulling a green marble out of the bag?
Answers
Answer:
1/3 would be the chances you'd pick purple, because there's only 1 in 3 that's purple out of all 3 marbles.
With green it would be 2/3 because there's twice the number of green marbles than purple.
If there's 1 of purple and 1 of green, the probability would then be 1/2 of picking either colour.
the quantity is a rate in formula d=rt.
Answers
Answer:
hi
Step-by-step explanation:
Distance Formula D RT
Use the formula r = d/t. Your rate is 24 miles divided by 2 hours, so: r = 24 miles ÷ 2 hours = 12 miles per hour
Please Help answer has much as you can
Answers
Answer:
24 is the answer ok 21/7
is 3 and multiply it with 8 that is 24
2]
q = -3
What is the rate of change of y with respect to x for 9x-11y+2=0?
Answers
Answer:
the rate of chnge would be 9/11x
Step-by-step explanation:
here's a pic of my process:
the amount of money you end up with after deductions and taxes is known as?
Answers
Answer: Net Income
The gross income is the amount of money you earn before taxes, deductions, etc. The net income is gross income minus those fees.
Net income = (gross income) - (fees)
What is the surface area of a cone with a height of 15 and the diameter of 12?
Answers
Answer:
417.62
[tex]A=πr(r+\sqrt{x} h2+r2)[/tex]Step-by-step explanation:
because radius is half of diameter and then you would use this equation to solve
simplest form 3/56
Answers
Answer:
uh it's already simplest-
but ig you rounded to 6 decimal places
so it would be 0.053
---
82%There are 24 students in a class.
8 of the students are boys.
b)
a)
Write the amount of boys in the class as a fraction in its simplest form.
b)
Write the amount of girls in the class as a fraction in its simplest form.
Answers
Answer:
Boys: 1/3
Girls: 2/3
Step-by-step explanation:
There are 8 boys in the class out of 24 students.
The fraction will be 8/24. Both the numerator and the denominator are divisible by 8.
8 ÷ 8 = 1
24 ÷ 8 = 3
The simplest form will be 1/3.
There are 16 girls in the class because 24 - 8 = 16.
The fraction will be 16/24. Both numbers are divisible by 8.
16 ÷ 8 = 2
24 ÷ 8 = 3
The simplest form will be 2/3.
Hope that helps.
multiply 17.243 * 0.95
Answers
Answer:
16.38085
Step-by-step explanation:
Answer:
the answer is: 16.38085
Step-by-step explanation:
i have a good calculator
helpppppppppppppppppp
Answers
Answer:
2 solutions
Step-by-step explanation:
Given the expression
2m/2m+3 - 2m/2m-3 = 1
Find the LCM of the expression at the left hand side:
2m(2m-3)-2m(2m+3)/(2m+3)(2m-3) = 1
open the bracket
4m²-6m-4m²-6m/(4m²-9) = 1
Cross multiply
4m²-6m-4m²-6m = 4m² - 9
-12m = 4m² - 9
4m² - 9+12m = 0
4m² +12m-9 = 0
Since the resulting equation is a quadratic equation, it will have 2 solutions since the degree of the equation is 2
2^-2 times how much is 2^-1?Does the answer match your answer from question 3a? Why or why not?
Answers
Answer: This value of x, 2, matches the answer from question 3a . This value shows that the area painted the first weekend is twice the area painted the second weekend.
4/3C, when C=6
show your work here
Answers
4 divided by 3C
If C equals 6, then the equation now looks like 4 divided by 3(6).
3 x 6 = 18.
4 divided by 18 is .22 repeating.
This may be wrong. Check with another answer.
Answer: 2/9
Work: So, you are going to get the equation after plugging in the number 4/3(6), after simplifying even more, you get 4/18. Then you simplify again and divide both sides (Numerator and denominator) and you get 2/9.
I hope this helps, and Happy Holidays! :)
joe is selling sweatshirts for 20% off the regular price of $25.00.
Answers
Kathryn deposits 100 into an account at the beginning of each 4-year period for 40 years. The account credits interest at an annual effective interest rate of i. The accumulated amount in the account at the end of 40 years is X, which is 5 times the accumulated amount in the account at the end of 20 years. Find X
Answers
Answer:
X=6.195
Attached please find equation.
Step-by-step explanation:
Let 1+i∗=(1+i)4 so that the calculation using annuity
I dunno, need help!
Answers
First term: 2 3/4 sixth term: 3 7/12 what is the rule
Answers
Answer:
we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
Step-by-step explanation:
Given
[tex]a_6=3\frac{7}{12}=\frac{43}{12}[/tex]
[tex]a_1=2\frac{3}{4}=\frac{11}{4}[/tex]
We know the arithmetic sequence with the common difference is defined as
[tex]a_n=a_1+\left(n-1\right)d[/tex]
where a₁ is the first term and d is a common difference.
so
a₆ = a₁ + (6-1) d
substituting a₆ = 43/12 and a₁ = 11/4 to determine d
[tex]\frac{43}{12}=\:\frac{11}{4}\:+\:5d[/tex]
switch sides
[tex]\frac{11}{4}+5d=\frac{43}{12}[/tex]
subtract 11/4 from both sides
[tex]\frac{11}{4}+5d-\frac{11}{4}=\frac{43}{12}-\frac{11}{4}[/tex]
[tex]5d=\frac{5}{6}[/tex]
Divide both sides by 5
[tex]\frac{5d}{5}=\frac{\frac{5}{6}}{5}[/tex]
[tex]d=\frac{1}{6}[/tex]
as
a₁ = 11/4
[tex]d=\frac{1}{6}[/tex]
Therefore, the nth term of the Arithmetic sequence will be:
[tex]a_n=a_1+\left(n-1\right)d[/tex]
substituting d = 1/6 and a₁ = 11/4
[tex]a_n=\frac{11}{4}+\left(n-1\right)\frac{1}{6}[/tex]
[tex]=\frac{11}{4}+\frac{1}{6}n-\frac{1}{6}[/tex]
[tex]=\frac{31}{12}+\frac{1}{6}n[/tex]
Therefore, we conclude that the rule will be:
[tex]a_n=\frac{31}{12}+\frac{1}{6}n[/tex]
someone please help answer this, i need to simplify! it seems simple but i can’t!
Answers
Answer: 3
Hope this helps :)
What type of counting problem is this? Tatiana has a special puzzle in which all of the pieces fit together in any way. There is no goal picture. Instead, the
goal of the puzzle is to make different patterns and pictures using the pieces. If Tatiana has 50 unique puzzle pieces and she plans to use all of them, how
many possible pictures can she create?
a.Permutation without repetition
b.Combination without repetition
c.Permutation with repetition
d.Combination with repetition
Answers
Answer:
It is permutation without repetition. I just took the quiz. This is a permutation because different orderings of the pieces produce different pictures. Repetition is not allowed because there are a limited number of puzzle pieces.
Step-by-step explanation:
Answer:
Permutation without repetition
Step-by-step explanation:
This is a permutation because different orderings of the pieces produce different pictures. Repetition is not allowed because there are a limited number of puzzle pieces.
Which statement is correct?
A. Secant is the reciprocal of sine.
B. Cotangent is the reciprocal of tangent.
C. Cosecant is the reciprocal of cosine.
D. Cosine is the reciprocal of cotangent.
SUBMIT
Answers
Answer:
Solution in photo
Step-by-step explanation:
The statement that is correct is Cotangent is the reciprocal of tangent.
What is cotangent?The term cotangent can be written as ( cot ). It is said to be the reciprocal of the tangent and It is one whose ratio of its adjacent side is said to be the opposite side that is found in a right triangle.
Therefore, we can say that The statement that is correct is Cotangent is the reciprocal of tangent as it is the correct one among the options.
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A peice of fabric costs $5.29 a yard which is an estimated cost of 16.3 yards of fabric?
Answers
Answer:
90
Step-by-step explanation:
$5.29 * 16.3 = $86.227
=$86.23
86.23 could be rounded up to 90
Which equation represents the rectangular form of Theta = StartFraction 5 pi Over 6 EndFraction?
StartRoot 3 EndRoot x minus y = 0
StartRoot 3 EndRoot x + y = 0
StartRoot 3 EndRoot x minus 3 y = 0
StartRoot 3 EndRoot x + 3 y = 0
Answers
Answer:
D. StartRoot 3 EndRoot x + 3 y = 0 (or √3x + 3y = 0)Step-by-step explanation:
This is about converting polar coordinate to rectangular
Relationship between coordinates is:
x = r cosθy = r sinθthen
y/x = sinθ/cosθy/x = tanθWe have θ = 5π/6, finding the value of tan:
tan 5π/6 = tan (π - π/6) = - 1/√3 = - √3/3Substitute tan with its value:
y/x = -√3/3 3y = -√3x3y + √3x = 0√3x + 3y = 0Correct option is D
Answer:
I did option d !!
Step-by-step explanation:
Which expressions are equivalent to 6a(5+d) ?
SELECT EACH CORRECT ANSWER (theres more than 1)
30a+6ad
(6a⋅5)+(6a⋅d)
11a + d
30a+(6a⋅d)
30ad
Answers
Answer:
first, second and fourth
Step-by-step explanation:
If you use distribution,
6a(5+d) is the same as
6a(5) + 6a(d)
Multiplied = 30a + 6ad
So it's the 1st 2nd and fourth choice.
1st is stated above when multiplied out and combined.
2nd is after distribution.
4th choice is basically combination of 1 and 2 where one is combined (first term) and the second one just set up to be multiplied.
It cannot be third because you are multiplying the factors and not adding so you cannot have 11a.
It cannot be last choice because you have different types of terms that cannot be combined (one with a alone and one with ad)
Answer:
(6a*5) + (6a*d)
30a + 6ad
30a + (6a*d)
Step-by-step explanation:
Hope you ace your test!