Find an explicit formula for the arithmetic sequence -2,-14,-26,-38,...

Answer:

Definition of midpoint

Step-by-step explanation:

AM = ME because of the lines showing they are equal

M is therefore the Midpoint of the segment AE

Since AE = 12

AM is 1/2 of AE

AM = 1/2 (12)

AM = 6

We use the definition of midpoint

Answer:

B

Step-by-step explanation:

I just took the test lol

Answer: the rectangular

Step-by-step explanation:

All the sides are equal for a regular polygon

Answer:

The Rectangle Is Not A Regular Polygon, Option 2

Step-by-step explanation:

For a polygon to be regular all sides and angles have to be the same! A square is an example of a regular polygon, since all sides and angles are even, a rectangle is not.

Answer:

No real solutions

Step-by-step explanation:

Using the quadratic formula, you will end up with a square root of a negative number in the numerator. Hence there is no real solution.

see attached.

The solution to the equation x^2 + 3x + 4 = 0 can't be computed using real numbers, because the formula we use (the quadratic formula) results in the square root of a negative number. Therefore, the solutions will be in the form of complex numbers.

The subject question falls under Mathematics, specifically algebra. The equation given is a standard form of a quadratic equation. The general form of a quadratic equation is ax2 + bx + c = 0.

To find the solution for the equation x2 + 3x + 4 = 0, we usually use the quadratic formula x = [-b ± sqrt(b2 - 4ac)] / 2a. Applying this formula, we can put a = 1, b = 3 and c = 4. However, when we compute b2 - 4ac, which is 9 - 16, we receive a negative result (-7). This implies that the equation has no real solutions, because square roots of negative numbers are not real numbers, they are complex numbers.

https://brainly.com/question/34196754

#SPJ11

Answer:

The travel time of the trip is 8.55 hours

Step-by-step explanation:

The average speed of an object is calculated using the following formula:

[tex]s=\frac{d_2 -d_1}{t}[/tex]

Where [tex]d_2 - d_1[/tex] is the total distance traveled by the object and t is the time it took the object to travel that distance.

So we know that:

[tex]d_2 - d_1=342\ miles[/tex]

[tex]s=40\ mph[/tex]

Therefore:

[tex]40=\frac{342}{t}[/tex]

[tex]t=\frac{342}{40}[/tex]

[tex]t=8.55\ hours[/tex]

Answer: 8 hours and 33 minutes

Step-by-step explanation:

you can set up a ratio, cross multiply, and divide.

[tex]\frac{1}{6}[/tex]

There are 6 possible options: [tex]\text{1, 2, 3, 4, 5, 6}[/tex]

There is 1 option out of those 6 that we are finding: [tex]\text{3}[/tex]

Therefore, the probability is [tex]\frac{1}{6}[/tex].

Answer:

1/6

Step-by-step explanation:

When we roll a die, we can get the numbers 1,2,3,4,5,6

Each is equally likely

P(3) = How many times 3 occurs/ total

  3 occurs 1 time in on the die and there are 6  possible numbers

P(3) = 1/6

Answer:

Ratios are usually proportional if they are the same or have the same relationship.

Step-by-step explanation:

Like: you have 2 fractions that reduce and come out the same they are proportional.

Hope my answer has helped you!

Answer: pretty much is you reduce 2 fractions and they are the same it should be proportional.

Step-by-step explanation:

Answer:

Step-by-step explanation:

a) She uses 23 pages (but the last page has 2)

b) 2

c)Jane needs 82 more stickers because

50pages-23=27

27x3(stickers, befcuaase 3 stickers per page)=81

81+1=82 because on 23 page theres only 2 sticker

Hope this helps

Answer:

25ab

Step-by-step explanation:

(5a)(5b) -> Expand the brackets (multiply like terms together, etc) When the brackets are expanded, values can be multiplied, etc easily

25ab -> 5 multiplied by the other 5 gives 25; a multiplied by b gives ab

Answer:

lcm = 352

Step-by-step explanation:

32 = 2 × 2 × 2 × 2 × 2 = [tex]2^{5}[/tex] ← product of prime factors

44 = 2 × 2 × 11 = 2² × 11 ← product of prime factors

lowest common multiple (lcm) = [tex]2^{5}[/tex] × 11 = 352

32 = 2*2*2*2*2 = 2^5

44 = 2*2*11 = 2^2*11

We take common and non-common numbers with the highest exponent and we multiply them.

2^5*11 = 32*11 = 352.

To see if 8 is the solution to the equation,  3 (x - 2) + 4 = 22, you must replace x with 8 and solve using the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction) REMEMBER: IF NOT APPLICABLE TO THE EQUATION YOU MAY SKIP THAT STEP IN PEMDAS . If the sides are equal to each other then 8 IS a solution.

3(8 - 2) + 4 = 22

Parentheses...

3(8 - 2) + 4 = 22

8 - 2 <<<In the parentheses so you must solve first

6

so...

3(6) + 4 = 22

Multiplication...

3(6) + 4 = 22

3 * 6

18

so..

18 + 4 = 22

Addition...

18 + 4 = 22

18 + 4

22

so...

22 = 22

Are they equal to each other? YES!!!

8 is a solution to the equation 3 (x - 2) + 4 = 22

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

∠10 and ∠4

Step-by-step explanation:

we know that

When two lines are crossed by another line (called the transversal), the angles in matching corners are called Corresponding Angles

In this problem

∠10 and ∠4 are corresponding angles

Answer: C is correct, 4x=8

Step-by-step explanation:

You will add the two equations...

4x-8=0

Now you need to move the -8 over, which reverses its sign to positive.

4x=8

Answer: that not a real question it cant be answered has to be missing something

Step-by-step explanation:)

Answer:

Hi my name is Kylie "How You Doing" phrase from Friends, Joey

Answer:

Don't see the steps... but I will solve it and put the property next to each step I perform... And we will just hope my steps are exactly the same as theirs and my wording of the property is exactly the same as theirs.

3x-2>-4           Given

3x-2+2>-4+2  Addition property of Equality

3x+0>-2         Simplification and Inverse Property of Addition for -2+2

3x    >-2         Simplification and Identity Property of Addition for 3x+0

3x/3 >-2/3      Division property of Equality

1x     >-2/3      Inverse property of Multiplication for the 3*1/3 part

x      >-2/3      Identity property of Multiplication for the 1x part

This is ed right? If so the answer would be c

ANSWER

[tex]g(x) = - \sqrt{x + 3} + 8[/tex]

EXPLANATION

The given function is

[tex]f(x) = - 2 \sqrt{x - 3} + 8[/tex]

The vertex of this function is (3,8)

This function opens downwards so its range is

[tex]y \leqslant 8[/tex]

The function

[tex]g(x) = - \sqrt{x + 3} + 8[/tex]

also has vertex (-3,8)

This function is also reflected in the x-axis. Its range is;

[tex]y \leqslant 8[/tex]

The correct answer is C

Answer:

I think the picture here explains you everything

hope this helped

Answer:

8 days

Step-by-step explanation:

[tex]\bf \textit{equation of a circle}\\\\ (x- h)^2+(y- k)^2= r^2 \qquad center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad radius=\stackrel{}{ r} \\\\[-0.35em] ~\dotfill\\\\ (x-6)^2+(y+5)^2=16\implies [x-\stackrel{h}{6}]^2+[y-(\stackrel{k}{-5})]^2=\stackrel{r}{4^2}~\hfill \begin{cases} \stackrel{center}{(6,-5)}\\ \stackrel{radius}{4} \end{cases}[/tex]

Check the picture below.

The equation of a circle is:

(x - h)² + (y - k)² = radius²

Note:

h = x coordinate for the centre of the circle

k = y coordinate for the centre of the circle

The equation for the circle in the question is:

(x - 6)² + (y - 5)² = 16

So the coordinates for the centre of the circle is:

(6, 5)

------------------------

Since PQ is the diameter of the circle, that means the coordinates for the  midpoint of PQ would also be the coordinates for the centre of the circle

That  means:

( (x coords of P and Q) / 2 , (y coords of P and Q) / 2 )= (6 , 5)

So x-coords of Q:

[tex]\frac{10 + x}{2} = 6[/tex]

10 + x = 12

x = 2

y-coords of Q

[tex]\frac{-5+ x}{2} = -5[/tex]

-5 + x = - 10

x = 5

So the coordinates for Q are:

(2, -5)

---------------------------------------------

Answer:

Option A) (2, - 5)

Answer:

The system x = 4 and y = -x - 1 has one solution

Step-by-step explanation:

x = 4 and y = -x - 1 intersects only once on the graph

Answer:

The line x = 4 and y = - x - 1 has only one solution.

Step-by-step explanation:

Consider the provided graph.

The system of equation has the solution at the point where the line intersects.

Now consider the graph of the equation x = 4 and y = - x - 1

The graph of x = 4 is a vertical line.

From the graph it is clear that the line x = 4 and y = - x - 1 intersect at a point.

Now to calculate the number of solutions simply count the number of intersecting points.

By observing the graph it can be concluded that the graph of x = 4 and y = - x - 1 intersect only at one point i.e (4,-5).

Hence, the line x = 4 and y = - x - 1 has only one solution.

Answer:

1. Simplify the inequality  5.1(3 + 2.2x) > -14.25 - 6(1.7x + 4):

15.3+11.22x>-14.25-10.2x-24 10;15.3+11.22x>-10.2x-38.75.  

2. Separate terms with x and without x in different sides:

11.22x+10.2x>-38.75-15.3.

3. Add similar terms:

21.42x>-54.05.  

4. Divide by 21.42:

x>-54.05/21.42

x>-2.5

Step-by-step explanation:

Answer:

5%

Step-by-step explanation:

3/60 = 1/20 = 0.05.  This is 0.05(100%), or 5%.

Answer:

2( √x - x³ )

Step-by-step explanation:

see attached.

Answer:

(f-g)(x) = 2√x - 2x³

Step-by-step explanation:

Write out the terms of f(x) as they are and then the negatives of all the terms of g.  We get:

(f-g)(x) = √x - x - 2x³ + √x + x

Combining like terms, we get:

(f-g)(x) = 2√x - 2x³

Answer:

Should be 5, hopes this helps

Step-by-step explanation:

That's it.

Final answer:

To find the original number, we use the equation 2x + 1 = 11; solving for x gives us the number 5.

Explanation:

To find the number that when doubled and added to 1 gives 11, we can set up a simple algebraic equation to solve for the unknown number. Let's call the unknown number x. According to the problem, if we double the number (2x) and then add 1, the result is 11. So, our equation is 2x + 1 = 11.

Next, we can solve for x by subtracting 1 from both sides of the equation, giving us 2x = 10. Finally, we divide both sides by 2 to isolate x, resulting in x = 5. Thus, the number we're looking for is 5.

i think this question already been solved:

https://brainly.com/question/4342896

Answer:

degree 5

Step-by-step explanation:

(fg)(x) = f(x) × g(x)

f(x) × g(x) = 3x²(4x³ + 1) = 12[tex]x^{5}[/tex] + 3x²

The degree of the polynomial is determined by the value of the largest exponent, that is

12[tex]x^{5}[/tex] ← largest exponent of 5

Hence (fg)(x) is of degree 5

Answer:

C

Step-by-step explanation:

The average rate of change of a function f(x) on the interval [a, b] is:

(f(b) − f(a)) / (b − a)

Here, the interval is [3, 11].  f(3) = -4 and f(11) = 20.

(f(11) − f(3)) / (11 − 3)

(20 − -4) / 8

24 / 8

3

The average rate of change in t over the interval [3,11] is C. 3.

The average rate of change function exists expressed as the average rate at which one quantity is changing regarding something else changing. In simple terms, an average rate of change function exists as a process that estimates the amount of change in one item divided by the corresponding amount of change in another.

The average rate of change of a function f(x) on the interval [a, b] is:

(f(b) − f(a)) / (b − a)

Here, the interval is [3, 11].  f(3) = -4 and f(11) = 20.

(f(11) − f(3)) / (11 − 3)

(20 − -4) / 8

24 / 8

3.

The average rate of change in t over the interval [3,11] is C. 3.

Hence, The correct answer is option C. 3.

To learn more about the average rate of change of a function

https://brainly.com/question/2170564

#SPJ2

Answer:

1/6

Step-by-step explanation:

1/2 (the coin chance) * 2/6 (the dice chance) = 2/12 = 1/6

Answer:

A. 1/6

Step-by-step explanation:

Probability of getting heads: 1/2

Probability of rolling a number >or equal to 5: 2/6

(1/2)(1/3)=1/6

Answer:

19

Step-by-step explanation:

f(x) = 2x^2 +1

Let x =3

f(3) = 2 (3)^2 +1

     = 2 *9 +1

     = 18 +1

     = 19

Final answer:

The probability that Nick oversleeps and has a pop quiz on the same school day, given the probability of oversleeping at 48% and pop quiz at 25%, is 12%.

Explanation:

To find the probability that Nick oversleeps and has a pop quiz on the same day, we need to multiply the probabilities of the two independent events occurring.

The probability of Nick oversleeping is 48% or 0.48, and the probability of him having a pop quiz is 25% or 0.25. Since the events are independent, the combined probability is:

Probability(Nick oversleeps and has a pop quiz) = Probability(Nick oversleeps) × Probability(has a pop quiz) = 0.48 × 0.25

When you calculate this, you get:

0.48 × 0.25 = 0.12

Therefore, the probability that Nick oversleeps and has a pop quiz on the same school day is 12%.

The probability that Nick oversleeps and has a pop quiz on the same day is 12%.

To find the probability that Nick both oversleeps and has a pop quiz on the same day, we use the concept of independent events in probability. When two events are independent, the probability of both events occurring is the product of their individual probabilities.

Let's denote:
P(O) = Probability that Nick oversleeps = 0.48
P(Q) = Probability that there is a pop quiz = 0.25

The formula for finding the probability of both independent events occurring is:
P(O and Q) = P(O) * P(Q)

Therefore:
P(O and Q) = 0.48 * 0.25 = 0.12

So, the probability that Nick oversleeps and has a pop quiz on the same day is 12%.

Answer:

3x - 6 < 12

3x < 18

x < 6

X could be numbers that's less than 6

[tex]3 x - 6 < 12 \\3x<18\\x<6[/tex]