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

Answer:

Step-by-step explanation:

9

3

4

Answer:

1. 9

2. 3

3. 4

Step-by-step explanation:

I have taken the test and got 100% on it so I hope this helped you!

Answer:

-8

Step-by-step explanation:

if you add negitive 8 to 8 then the sum will be 0

Answer:

-8

Step-by-step explanation:

when you add a negative number your basically subtracting its absolute value.

Answer:

730 days =

2 calendar years

Time

730

2 years

Calendar year

Formula

divide the time value by 365

Answer:

2 years

Step-by-step explanation:

There are 365 days in a given year.

In order to solve this, divide 730 by 365:

730/365 = 2

Therefore, 730 days is 2 years.

Answer:

469

Step-by-step explanation:

1. use the formula:

[tex]a_n=a_1+d*(n-1);[/tex]

where d - the step between two nearest terms, n - number of required term; a₁ - the first term of the given sequence.

2. according the formula above:

[tex]a_{59}=5+8*(59-1)=5+464=469.[/tex]

Answer:

The answer is below

Step-by-step explanation:

The slope of a line (m) is given by:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Two lines are parallel if they have the same slope and perpendicular if the product of their slope is -1.

1)

[tex]Slope\ of\ PQ=\frac{1-(-2)}{9-(-3)}=\frac{1}{4} \\\\Slope\ of\ UV=\frac{-2-6}{5-3}=-4[/tex]

Since the product of their slope is -1, they are perpendicular

2)

[tex]Slope\ of\ PQ=\frac{1-7}{2-(-10)}=-\frac{1}{2} \\\\Slope\ of\ UV=\frac{1-0}{6-4}=\frac{1}{2}[/tex]

Since the slope is not the same or product of their slope is not -1, they are neither parallel or perpendicular

3)

[tex]Slope\ of\ PQ=\frac{8-1}{9-1}=\frac{7}{8} \\\\Slope\ of\ UV=\frac{8-1}{2-(-6)}=\frac{7}{8}[/tex]

Since the slopes are the same, they are parallel

4)

[tex]Slope\ of\ PQ=\frac{3-0}{9-(-4)}=\frac{3}{4} \\\\Slope\ of\ UV=\frac{6-(-3)}{8-(-4)}=\frac{3}{4}[/tex]

Since the slopes are the same, they are parallel

5)

[tex]Slope\ of\ PQ=\frac{1-2}{0-(-9)}=-\frac{1}{9} \\\\Slope\ of\ UV=\frac{-1-8}{-2-(-1)}=9[/tex]

Since the product of their slope is -1, they are perpendicular

Answer:

9

Step-by-step explanation:

Answer:

12p + 8q

Step-by-step explanation:

Step-by-step explanation:

I have no idea what you are asking to do lol

Answer:

d = 50t

Step-by-step explanation:

In the table, the values across from each other are equivalent.

[tex]\begin{tabular}{|c|c|}\cline{1-2} Time in hours (t) & Distance in miles (d) \\\cline{1-2} 0 & 0 \\\cline{1-2} 1 & 50 \\\cline{1-2} 2 & 100 \\\cline{1-2} 3 & 150 \\\cline{1-2}\end{tabular}[/tex]

By looking at the second row of the provided table, we can see that d is equal 50 times the value of t. We can write this as an equation:

d = 50t

The correct answer choice is d = 50t, or the 4th option.

Let me know if you have any questions!

Answer:

i think its a hope it helps

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

did the test on ape x and 25 was the answer

Answer:

84

Step-by-step explanation:

Set up a proportion. The ratio number of gray mice corresponds (is across from) the total number of gray mice (24)

5/2 = x/24                            Cross multliply

2*x = 5*24                            Multiply 5 by 24

2x = 120                               Divide by 2

x = 120/2

x = 60 Which represents the number of white mice.

So the white mice + gray mice = 60 + 24 = 84

Answer:

4/7

Step-by-step explanation:

Probability is the likelihood or chance that an event will occur.

Probability = Expected outcome/Total outcome

Given

Total outcome = 2blue ties+1red tie+2blue coats+2orange coats

Total outcome = 7

If he wears a blue tie, then the expected outcome will be 2.

Probability that he wears blue tie = 2/7

If he wears a blue coat, then the expected outcome will be 2.

Probability that he wears blue coat = 2/7.

The probability that he wears either a blue tie or a blue coat will be 2/7+2/7 = 4/7

Answer: 11x - 9y - 3

Step-by-step explanation:

Collect like terms - start with x

9x - 8y +2x - 6 - y + 3

11x - 8y - 6 - y + 3

Collect all y terms

11x - 9y - 6 +3

Collect all integers

11x - 9y - 3 - final answer

Answer:

i guess its b and d

Step-by-step explanation:

-2+2=0

Answer:

option B is correct

B and D

because B is -2 and D is 2

to make 0

we can combined that 2numbers then we got -2+2=0

Step-by-step explanation:

hope my answer is helpful to you

Answer:

[tex]d=\dfrac{t^2}{a}[/tex]

Step-by-step explanation:

The time  in seconds, required for an object accelerating at a constant rate of a meters/second to travel a distance of d meters is given by this  equation.

t = va

We need to find the expression for d in terms of t and a.

As velocity = distance/time

[tex]t=\dfrac{d}{t}a\\\\t^2=da\\\\d=\dfrac{t^2}{a}[/tex]

So, the distance d is [tex]\dfrac{t^2}{a}[/tex].

Answer:

Average Mean = 1.8

Step-by-step explanation:

Missing:

X:0 1 2 3 4 5 6

P(x): 0.20 0.30 0.20 0.15 0.10 0.05

Computation:

Average Mean [Probability distribution]

∑[P(x) × X]

= 0 x 0.20 + 1 x 0.30 + 2 x 0.20 + 3 x 0.15 + 4 x 0.10 + 5 x 0.05

= 1.8

Average Mean = 1.8

This question is incomplete, the remaining part of the question is upload as an image alongside this answer.

Answer:

Width = 2x = 2( r/√2 ) =  √2 r units

Height = 2y = 2( r/√2 ) =  √2 r units

Step-by-step explanation:

From the Figure on the image; lets consider the circle of radius r, centered at the origin.  

let ABCD be the largest rectangle that can be inscribed inside the circle.  

Let the half width of the rectangle be x, then in right triangle ONB using Pythagorean theorem,  

half height of rectangle y = √(r² - x²)

Thus the width of the inscribed rectangle = 2x and height of the inscribed rectangle = 2√(r² - x²)

thus the area of the inscribed rectangle = length × width

⇒ A(x) = 2x(2√(r² - x²))

⇒ A(x) = 4x√(r² - x²)  

now in order to maximize the area, we find critical points.

so we find the derivative and set that zero, that is Ai(x) = 0.

so using product rule, we get

A'(x) = 4x × ( -2x / 2√(r² - x²) ) + ( 4 × √(r² - x²)  )

A'(x) = ( -4x² / √(r² - x²) ) + ( 4√(r² - x²)  )

Now for critical points, set A'(x) = 0

so

( -4x² / √(r² - x²) ) + ( 4√(r² - x²)  ) = 0

( 4x² / √(r² - x²) ) =  ( 4√(r² - x²)  )

x² = r² - x²

2x² = r²

x² = r²/2

x = ±√(r²/2)

Now since x represent the with, it cannot be negative, Thus

x = r/√2

hence

y = √(r² - x²) = √(r² -  r²/2) = √(r²/2) =  r/√2

Therefore, the dimensions of the rectangle of largest area will be;

Width = 2x = 2( r/√2 ) =  √2 r units

Height = 2y = 2( r/√2 ) =  √2 r units

i can give a better answer if you give the recipe but for 24 pancakes its double and for 6 pancakes is half

Answer:

Answer: B. 5

Step-by-step explanation:

Combination

It's a selection of items from a collection, such that the order of selection does not matter.

It can be calculated by using factorials with the formula:

[tex]\displaystyle _mC_n=\frac{m!}{(m-n)!\ n!}[/tex]

Let's calculate:

[tex]\displaystyle _5C_1=\frac{5!}{(5-1)!\ 1!}[/tex]

[tex]\displaystyle _5C_1=\frac{5!}{(4)!\ 1!}[/tex]

Since 5!=5*4! and 1!=1:

[tex]\displaystyle _5C_1=\frac{5*4!}{(4)!\ 1!}[/tex]

Simplifying:

[tex]\displaystyle _5C_1=\frac{5}{1}=5[/tex]

Answer: B. 5

Answer:

30

Step-by-step explanation:

Well 8 x 4 is 32. And if Mrs. Kirti's 2 years younger than that, we subtract 2 from 32. So therefore 32-2=30.

Answer:

2

Step-by-step explanation:

20/10=2

The answer is:

30 seconds!

Answer:

Diane is faster since her speed is higher.

Step-by-step explanation:

We can find each speed in yards per second.

Tom:

25 yards / 4 seconds = 6.25 yards/second

Diane:

20 yards / 3 seconds = 6.67 yards/second

Diane's speed is higher, 6.67 yd/s vs 6.25 yd/s, so Diane is faster.

Answer: Diane is faster since her speed is higher.

Answer:

(0,6) ==> y-axis

(5,-2) ==> Quadrant IV

(-1,10) ==> Quadrant II

(5,0) ==> x-axis

(8.7,2.3) ==> Quadrant I

[tex]( - \frac{1}{4} \: \: \: - 6 \frac{1}{2} ) \: = = > quadrant \: iii[/tex]

Answer:

24

Step-by-step explanation:

39-15=24

Answer:

24

Step-by-step explanation:

The sampling is a an example of random sampling.

Probability is a measure of the likelihood of an event occurring. The probability formula is defined as the possibility of an event happening is equal to the ratio of the number of favorable outcomes and the total number of outcomes. Probability of event to happen P(E) = Number of favorable outcomes/Total Number of outcomes.

Given here: A truck manufacturer selects 3 trucks at random from each of 6 models for safety testing.

From each of six models selects 3 models and Random sampling is a part of the sampling technique in which each sample has an equal probability of being chosen. A sample chosen randomly is meant to be an unbiased representation of the total population.

Thus clearly the sample is random sampling.

Hence, The sampling is a an example of random sampling.

Learn more about probability here;

https://brainly.com/question/30034780

#SPJ2

Answer:

The solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]

So, (1,3) is not solution to the given system of equations.

Step-by-step explanation:

we can solve the system of equations to find the value of x and y and then verify if (1,3) is a solution or not.

The system of equation given is:

[tex]y=6x-3\\y=x-2[/tex]

Solving:

Let:

[tex]y=6x-3--eq(1)\\y=x-2--eq(2)[/tex]

Put value of y from equation 2 into equation 1

[tex]y=6x-3\\Put\:y=x-2\\x-2=6x-3\\x-6x=-3+2\\-5x=-1\\x=\frac{-1}{-5}\\x=\frac{1}{5}[/tex]

Now, put value of x in equation 2 to find value of y

[tex]y=x-2\\Put\:x=\frac{1}{5} \\y=\frac{1}{5} -2\\y=\frac{1-2*5}{5} \\y=\frac{1-10}{5}\\ y=\frac{-9}{5}[/tex]

So, the solution for given system of equation is: [tex]x=\frac{1}{5}\:and\:y=\frac{-9}{5}[/tex] and ordered pair is: [tex]\mathbf{(\frac{1}{5},\frac{-9}{5})}[/tex]

So, (1,3) is not solution to the given system of equations.

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]

Answer:

Step-by-step explanation:

add then subtact D from 3

Answer:

Concept: Linear Systems