write an equation for each quadratic function whose graph is shown​

The intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

To show that a1 ≤ a2 ≤ ... ≤ an ≤ ..., we need to use the fact that the sequence of intervals is nested, meaning that each interval is contained within the next one.

First, we know that I1 contains I2, so every point in I2 is also in I1. That means that a1 ≤ a2 and b1 ≥ b2.

Now consider I2 and I3. Again, every point in I3 is also in I2, so a2 ≤ a3 and b2 ≥ b3.

We can continue this process for all the intervals in the sequence, until we reach In. So we have:

a1 ≤ a2 ≤ ... ≤ an-1 ≤ an

and

b1 ≥ b2 ≥ ... ≥ bn-1 ≥ bn

This shows that the endpoints of the intervals are ordered in the same way.

Given that I₁ ⊇ I₂ ⊇ ... In ⊇ ... is a nested sequence of intervals and In = [an; bn], we can show that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... as follows:

Since the intervals are nested, each subsequent interval is contained within the previous one. Mathematically, this means I₁ ⊇ I₂ ⊇ ... In ⊇ ... . Therefore, we have:

1. I₁ ⊇ I₂ implies [a₁; b₁] ⊇ [a₂; b₂], which means a₁ ≤ a₂ and b₁ ≥ b₂.
2. I₂ ⊇ I₃ implies [a₂; b₂] ⊇ [a₃; b₃], which means a₂ ≤ a₃ and b₂ ≥ b₃.

Continuing this pattern for all intervals in the sequence, we can conclude that a₁ ≤ a₂ ≤ ... ≤ an ≤ ... and b₁ ≥ b₂ ≥ ... ≥ bn ≥ ... .

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Answer:

No.

Step-by-step explanation:

They are not correct because the "| |" signs mean absolute value. What ever is inside the signs must be positive. So -9 becomes 9 and 9 is greater than 4. So, the student is not correct.

Answer:

x=number of miles driven on that day 258-13x=x

Step-by-step explanation:

I am not sure if this is correct because it's been a while since I have done this type of math but the reasoning for this is if we take 258 dollars and subtract that by the amount of money spent for an hourly wage (which is 13x), we have a specific number left over, and since driving has an expense of 1 dollar, whatever number left over would be the number of miles driven in that one day. If you would want to find the value for x, it would be an infinite number but rounded down, it would be 18 (this is a whole nother math topic that I won't explain because it would be too long). Also please don't use this as a reliable answer because I am PRETTY sure this is incorrect but hopefully I could help :)

Answer:

x=3

Step-by-step explanation:

Answer:

\(\boxed {\tt x=3}\)

Step-by-step explanation:

We are given the equation:

\(5x-2=3x+4\)

We want to solve for x, therefore we must isolate x on one side of the equation.

First, move all the constants to one side of the equation. 2 is being subtracted from 5x. The inverse of subtraction is addition. Add 2 to both sides.

\(5x-2+2=3x+4+2\)

\(5x=3x+4+2\)

\(5x=3x+6\)

Next, move all the terms with variables to one side. 3x is being added to 6. The inverse of addition is subtraction. Subtract 3x from both sides.

\(5x-3x=3x-3x+6\)

\(5x-3x=6\)

\(2x=6\)

x is being multiplied by 2. The inverse of multiplication is division. Divide both sides of the equation by 2.

\(\frac{2x}{2} =\frac{6}{2}\)

\(x=\frac{6}{2}\)

\(x=3\)

x is equal to 3 and the correct answer is D. x=3

Answer:

$2.75

Step-by-step explanation:

55 x 0.05 = 2.75

Answer: Let's call the number of games that Lorelel plays "x".

The cost of playing x games would be:

4.25x

In addition to the cost of playing, Lorelel also has to pay a shoe rental fee of $9.59, regardless of how many games she plays.

So the total cost, C, of playing x games and renting shoes would be:

C = 4.25x + 9.59

For example, if Lorelel plays 3 games, the cost would be:

C = 4.25(3) + 9.59 = 21.34

If Lorelel plays 6 games, the cost would be:

C = 4.25(6) + 9.59 = 35.09

And so on, for any number of games she chooses to play.

Answer:

Exact Form:

15  over as a fraction

2

Decimal Form:

7.5

Mixed Number Form:

1 and 7 over 2 as a fraction

Step-by-step explanation:

Answer:

.

Step-by-step explanation:

If you need any explanation you can communicate with me

The equation of the line in slope-intercept form y equals negative one-half times x plus 3. b).

To determine equation represents the table, we need to find the equation of the line that passes through the three given points.

The slope of the line using two of the points.

Let's choose the first and last points: (-2, 4) and (4, 1).

Slope = (y2 - y1) / (x2 - x1)

Slope = (1 - 4) / (4 - (-2))

Slope = -3/6

Slope = -1/2

So we know that the slope of the line is -1/2.

Now we need to find the y-intercept is the value of y when x = 0.

We can use any of the three points for this.

Let's choose (0, 3).

y = mx + b

3 = (-1/2)(0) + b

b = 3

Now we have the slope and y-intercept, so we can write the equation of the line in slope-intercept form:

y = -1/2 x + 3

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Answer:

(3, - 6 )

Step-by-step explanation:

x - 2y = 15 ( add 2y to both sides )

x = 2y + 15 → (1)

2x + 4y = - 18 → (2)

substitute x = 2y + 15 into (2)

2(2y + 15) + 4y = - 18 ← distribute parenthesis and simplify left side

4y + 30 + 4y = - 18

8y + 30 = - 18 ( subtract 30 from both sides )

8y = - 48 ( divide both sides by 8 )

y = - 6

substitute y = - 6 into (1)

x = 2(- 6) + 15 = - 12 + 15 = 3

solution is (3, - 6 )

Answer:

x is 3 y is -6 I really hope this helps

We need to check if 13 divides (20192018 - (1-1)") + 4H0. By performing the calculations, we find that 13 does not divide (20192018 - (1-1)") + 4H0. Hence, 20192018 is not divisible by 13.

To prove that 13 divides a number "a" if and only if 13 divides (an - (1-1)") + 4H0, we need to show that both conditions imply each other
First, let's assume that 13 divides "a". This means that "a" can be written as 13k, where k is an integer. We can express this in terms of base 10 as (13k - (1-1)") + 4H0. Simplifying further, we get (13k - 1) + 4H0. Since 13 divides 13k and 13 divides 4H0, it also divides their sum. Therefore, if 13 divides "a", it also divides (an - (1-1)") + 4H0.
Next, let's assume that 13 divides (an - (1-1)") + 4H0. This means that (an - (1-1)") + 4H0 can be written as 13k, where k is an integer. Simplifying the expression, we get an - (1-1)") + 4H0 = 13k. Rearranging, we have an = 13k + (1-1)") + 4H0. Since 13 divides 13k + (1-1)") + 4H0, it also divides their sum. Therefore, if 13 divides (an - (1-1)") + 4H0, it also divides "a".
In conclusion, we have proven that 13 divides "a" if and only if 13 divides (an - (1-1)") + 4H0.
To decide whether 20192018 is divisible by 13, we can apply the result from part (a). Let's express 20192018 as (an - (1-1)") + 4H0. Since 13 divides (an - (1-1)") + 4H0, if 13 divides 20192018, it will also divide (an - (1-1)") + 4H0. Therefore, we need to check if 13 divides (20192018 - (1-1)") + 4H0. By performing the calculations, we find that 13 does not divide (20192018 - (1-1)") + 4H0. Hence, 20192018 is not divisible by 13.

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To calculate the 90% confidence interval for the average EPS of all industrials listed on the DJIA, we will use the formula:

Confidence interval = sample mean ± (critical value * standard deviation / √sample size)

Step 1: Find the critical value.
Since we want a 90% confidence interval, the corresponding critical value can be obtained from the z-table. The critical value for a 90% confidence level is 1.645.

Step 2: Calculate the margin of error.
The margin of error is given by (critical value * standard deviation / √sample size).
Substituting the values, we get: 1.645 * 0.395 / √9 = 0.29175.

Step 3: Calculate the confidence interval.
The confidence interval is given by the sample mean ± margin of error.
Substituting the values, we get: 1.85 ± 0.29175.

The 90% confidence interval for the average EPS of all industrials listed on the DJIA is (1.55825, 2.14175).

We can be 90% confident that the true average EPS of all industrials listed on the DJIA falls within the range of 1.55825 to 2.14175.

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Answer:

  (a) 3/10

  (b) 9/20

Step-by-step explanation:

In order to answer this question, we must assume the probabilities are independent.

(a) p(both alive) = p(S alive)×p(A alive) = (3/4)(2/5) = 3/10

__

(b) p(only S alive) = p(S alive)×p(A not alive) = (3/4)(1 -2/5) = 9/20

The error term is a random variable with an expected value of zero.2. The error term is normally distributed

The assumptions underlying the simple linear regression model `y = Bo + B1x + e` are: 1.

The variance of the error term e is constant across all values of x.Thus, the assumptions that are underlying the simple linear regression model `y = Bo + B1x + e` are the second and the third options, which are "The error term is normally distributed." and "The variance of the error term e is constant across all values of x." respectively.

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Answer:

8

Step-by-step explanation:

The basic form of the equation is y=mx+b. The b stands for the y-intercept. In this equation, 8 is b due to its position in the equation, and -8/7 is m. Since we know that 8 is b and that b is the y-intercept, we know that 8 is the y-intercept.

Hope this helps!

Answer:

i think it is 9/16

Step-by-step explanation:

good luck

Answer:

Step-by-step explanation:

Answer:

(9a4 + 2a2 + 5) – (16a4 – 7a2 + 1)

A. 25a4 – 5a2 – 4

B. –7a4 – 5a2 + 6

C. 25a8 + 9a4 + 6

D. –7a4 + 9a2 + 4

5.Multiply 9x2(2x2 + 8x).

A. 18x4 + 72x3

B. 18x2 + 72x3

C. 11x4 – 17x3

D. 90x4

We will solve as follows:

We have the triangles:

*

We can determine its medians by calculating the mid-points of each side, and then plot t

Answer:

150 cm squared

Step-by-step explanation:

I guess that's the answer if I'm wrong you can tell me right away so that I can try another method thank you.

Answer:

The numbers are 10 and 21.

Step-by-step explanation:

x + y = 31

xy = 210

x = 31 - y

(31 - y)y = 210

31y - y² = 210

y² - 31y + 210 = 0

(y - 21)(y - 10) = 0

y - 21 = 0  or  y - 10 = 0

y = 21  or  y = 10

The two real numbers are 10 and 21.

Quadratic Equations are algebraic expressions of degree 2 in one variable and are of the form ax² + bx + c = 0.

In simpler terms, a quadratic equation is be defined as a polynomial equation of degree 2.

Given that, there are two real numbers with a sum of 31 and a product of 210.

We need to find their values using the concept of quadratic equation,

So, according to the question,

x + y = 31 (eq 1)

xy = 210 (eq 2)

x = 31 - y

(31 - y) y = 210

31y - y² = 210

y² - 31y + 210 = 0

(y - 21) (y - 10) = 0

y - 21 = 0 or y - 10 = 0

y = 21 or y = 10

Hence, the two real numbers are 10 and 21.

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Their young daughter was starting to feel threatened by her father's actions. Despite Sara's pleadings for him to show her compassion, he maintained that he had the right to act however he pleased because he was her father.

Sara's husband harassed the couple through texts, calls, and threats to take their kid away while Sara and her husband were away from the house. Once, when he visited the house, he acted in such a menacing and violent way that Sara was worried and called the police. Despite being jailed, her spouse was not charged. He asserted that she had called the police to support her case against him. Red may be blood or even the result of a clean cut. Because individuals are hurt and bleed when they do, I believe blood would be the best. According to Johari Window, Sara is a Hidden Area or Hidden Self form of self. We refer to the information you withhold from others as a secret area.

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Answer: ß

Step-by-step explanation:

Answer:

1.x=10 and x=−2.

2. the answer is x=7,-1

3.=3, =1

Step-by-step explanation:

1.Since it is a quadratic equation, then it has, at the most, two solutions because the square root of the variable has a positive and negative value. Thus, the solutions to the given equation are x=10 and x=−2.

2.Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula. the you would simplify the equation.and the last thing that is to separate the equation.

3.-(-4)+/-sqrt(-4)^2-4^1^3/2*1,x=4+/-sqrt(-4)^2-4*1*3,x=4+/3sqrt16-4*1*3,x=4+/-sqrt16-12,/2*1,x=4+/-sqrt4/2*1,x=4+/-2/2*1,x=4+/2/2,x=4+2/2,x=4-2/2

Answer:

6

Step-by-step explanation:

To find the average rate of change, we must calculate the slope over the interval -3/2 to 0. We can use the formula below.

f(b) - f(a) / b - a

f(0) - f(-3/2) / 0 - -3/2

1 - -8 / 3/2

9 / 3/2

18/3

6

Brainliest, please!

The value of x that will make the equation of the model true is: x = 5.8.

Create an equation using the model given, then isolate the variable in order to determine its value, which will make the equation true.

Given the model above, the following equation would be created below:

x + x + 9.4 = 21

Combine like terms

2x + 9.4 = 21

Subtract 9.4 from both sides

2x + 94 - 9.4 = 21 - 9.4 [subtraction property of equality]

2x = 11.6

Divide both sides by 2:

2x/2 = 11.6/2 [division property of equality]

x = 5.8

The value of x is: 5.8.

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Answer:

7

Step-by-step explanation:

Proprtion is 1:3

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:7

Step-by-step explanation:

there all is divided by three for the smaller triangles