In the quadratic function y=ax^2+bx+c, the _________________ affects the position of the axis of symmetry. value of bx value of a value of b value of c

True.

If adding two positive integers results in a negative number, it means that an overflow has occurred. The overflow flag is set when the result of an operation is too large to be represented with the given number of bits.
If bx and dx both contain positive integers and adding them produces a negative result, the overflow flag will be set. This is because when two positive integers are added, the result should also be a positive integer. If the result is negative, it means there was an overflow during the addition process, and the overflow flag will be set to indicate this issue.

Learn more about overflow flag here: brainly.com/question/28179547

#SPJ11

The first two numbers in each row of the relative frequency table represent the percentage of cars and trucks of a particular color out of the total number of vehicles in the parking lot.

To create a relative frequency table, we need to divide the frequency of each color by the total number of vehicles (65) and then multiply by 100 to get a percentage.

Relative Frequency Table by Color:

The first two numbers in each row must add up to 100% because we are calculating the relative frequency of each color with respect to the total number of vehicles (65). Therefore, the percentage of cars and trucks of each color must add up to 100% of that color's total frequency. The total row must also add up to 100% because it represents the entire population of vehicles.

Learn more about relative frequency here

brainly.com/question/16832475

#SPJ4

The given question is incomplete, the complete question is:

There are 65 vehicles in a parking lot. The frequency table shows data about the types and colors of the vehicles. Complete a relative frequency table to show the distribution of the data with respect to color. Use pencil and paper. Explain why the first two numbers in each row must add up to 100%. Frequency Table Type of Vehicle Color Car Truck Total Blue 22 14 36 Red 12 17 29 Total 34 31 65

According to the given image, the given function is increasing at (C) x > 2.

A function in mathematics from a set X to a set Y allocates exactly one element of Y to each element of X.

The sets X and Y are collectively referred to as the function's domain and codomain, respectively.

The relationship between the input or domain and the output or range is known as the function rule.

If and only if there is a single value in the range for each domain value, a relation is a function.

A function is denoted by the notation f x, where x is the input value.

A function has the general form y = f x.

So, let's consider the given image:

The function is increased from the point +2 on the x-axis.

Which can be the point x > 2.

Therefore, according to the given image, the given function is increasing at (C) x > 2.

Know more about functions here:

https://brainly.com/question/29523308

#SPJ1

Complete question:
Where is the function increasing?

a. The function increases when x > 0

b. The function increases when x > 1

c. The function increases when x > 2

d. The function increases when x > -3

Answer:

Step-by-step explanation:

\(d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\d=\sqrt{(9-2)^2+(4+3)^2}=\sqrt{7^2+7^2}=\sqrt{2\cdot7^2}=7\sqrt2=9.8994...\approx9.9\)

The rectangle which should go in position I is rectangle A.

We are given that;

The rectangles A,B,C and D with numbers

Now,

To take the same the number of side

If we take A on 1 place

F will be on second place

And  B will be on 4th place

Therefore, by algebra the answer will be rectangle A.

More about the Algebra link is given below.

brainly.com/question/953809

#SPJ1

Answer:

1

Step-by-step explanation:

1+1=2

Click below for more info

Answer:

39/812

Step-by-step explanation:

The total no. of balls is 6+7+8+9 = 30.

There are 4 possible outcomes that fits "all 3 balls taken are of the same color": 1. all red balls/2.all green balls / 3. all blue balls/4. all white balls. Either one will do. So the required probability is the sum of probability that these 4 outcomes happen.

First lets find the probability of taking out all red balls.

There are total 30 balls, but only 6 are red, so in the first try, the probability of taking out a red ball is 6/30.

In the 2nd time, since you have already taken out one red ball, the no. of red balls left is 5, and the total no. of balls is 29. So the probability of taking out another red ball is 5/29.

This repeats for the 3rd time. The probability of taking out the 3rd red ball is 4/28.

These 3 times all have to happen in order, so the total probability is

6/30 x 5/29 x 4/28

=1/203

Now find the probability of taking out all green balls. The process is same from finding the probability of taking out all red balls, just that replace 6 to 7 instead.

So, the probability of taking out all green balls is

7/30 x 6/29 x 5/28

=1/116

Repeat again for blue balls and white balls.

Probability of taking out all blue balls = 8/30 x 7/29 x 6/28 = 2/145

Probability of taking out all white balls= 9/30 x 8/29 x7/28 =3/145

Now add all 4 fractions up.

1/203 + 1/116 + 2/145 + 3/145

=39/812

By the way, another method is to use combination "nCr". You will also get the same answer.

n: number of items

r: number of items being chosen at a time

(Probability of all red balls + Probability of all green balls + probability of all blue balls + probability of all white balls)÷Total no. of combinations - which is random 3 balls out of 30.

(6C3 + 7C3 + 8C3 +9C3) / (30C3)

= 39/812

Answer:  

39/812.

Step-by-step explanation:

There are a total of 6+7+8+9 = 30 balls.

Prob(3 red balls are taken) =  6/30 * 5/29 * 4/28 = 1/203

Prob(3 green balls are taken) =  7/30 * 6/29 * 5/28 = 1/116.

Prob(3 blue balls are taken) =  8/30 * 7/29 * 6/28 = 2/145.

Prob(3 white balls are taken) = 9/30 * 8/29 * 7/28 = 4/145.

So the probability of 3 balls od the same colour is the sum of these above probabilities =  39/812.

All you need to do is look at the slope.

Graph A: Rise/Run = 1/4          == a

Graph B: Rise/Run = 2/1 = 2    == d

Graph C: Rise/Run = 3/1 = 3    == b

Graph D: Rise/Run = 5/4         == c

Answer:

1. a

2. d

3. b

4. c

Step-by-step explanation:

Pay close attention to the slopes you're given for each situation. Remember that slope = (change in y)/(change in x). Think about it by counting the squares, that might help. For example, a slope of 5/4 would go up 5 squares and over 4 squares to go from point to point, such as the one seen on graph D.

Answer:

B one is true

Hope it helps you dear

The value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Similar triangles are two triangles that have the same shape, but not necessarily the same size. This means that corresponding angles of the two triangles are equal, and corresponding sides are in proportion.

(1). angle B = 180 - (22 + 90) {sum of interior angles of a triangle}

angle B = 68°

Given that the triangle ∆ABC is similar to the triangle ∆PQR.

(2). PQ/7.5cm = 12cm/18cm

PQ = (12cm × 7.5cm)/18cm {cross multiplication}

PQ = 5cm

(3). 13cm/BC = 12cm/18cm

BC = (13cm × 18cm)/12cm {cross multiplication}

BC = 19.5cm

(4). area of ∆PQR = 1/2 × 12cm × 5cm

area of ∆PQR = 6cm × 5cm

area of ∆PQR = 30cm²

Therefore, the value for the hotspots of the similar triangles ∆ABC and ∆PWR are:

(1). angle B = 68°

(2). PQ = 5cm

(3). BC = 19.5cm

(4). area of ∆PQR = 30cm²

Read more about similar triangles here:https://brainly.com/question/14285697

#SPJ1

The Riemann sum Le for f(T) = 3 – 2-4 on the interval (-1,2] can be found by dividing the interval into six subintervals of equal width.

(a) Plotting y = f(2) shows that the function takes the value 1 at the left endpoint and -5 at the right endpoint. Drawing the six rectangles whose areas are the terms of Le shows that each rectangle has width 1/3 and heights 1, 1, -5, -5, 1, and 1. (b) Calculating L6 gives L6 = (1/3)[1 + 1 - 5 - 5 + 1 + 1] = -2. Approximating this to one decimal place gives L6 ≈ -2.0. (c) Based on the plot, Lo appears to be an underestimate for the area.
For the function f(T) = 3 - 2T - 4 on the interval (-1, 2], let's use the Riemann sum L6 with 6 subintervals. (a) To plot y = f(2), substitute T=2 and obtain y = -5. The subintervals endpoints are -1, -0.5, 0, 0.5, 1, 1.5, and 2. Draw 6 rectangles using the left endpoint height.
(b) L6 = ΔT[f(-1) + f(-0.5) + f(0) + f(0.5) + f(1) + f(1.5)] = 0.5[1 - 0.5 - 2 - 3.5 - 5 - 6.5] = -9. Exact answer is -9 and approximated is -9.0.
(c) Based on the plot, L6 appears to be an underestimate for the area since the rectangles lie below the curve.

To know more about function visit:

https://brainly.com/question/30721594

#SPJ11

Answer:

Glass tiles needed

\( = (28 \times 40) \\ = 1120 \: tiles\)

Answer:

C. -5

The slope is -5.

Step-by-step explanation:

Hope this helps! :)

120 of the 200 dentists that participated in the survey and recommended Sparkle toothpaste.

If 60% of dentists recommended Sparkle toothpaste, then the remaining 40% did not.

To find out how many dentists recommended Sparkle toothpaste, we can multiply the total number of dentists in the survey (200) by the percentage who recommended it (60% or 0.6):

To solve for x, we can cross-multiply and simplify:

100x = 60 * 200

x = (60 * 200)/100

x = 120

Number of dentists who recommended Sparkle = 0.6 * 200 = 120

Therefore, 120 of the 200 dentists who took part in the survey recommended Sparkle toothpaste.

To learn more about survey visit;

https://brainly.com/question/13532910

#SPJ4

Answer:

Step-by-step explanation:

first term = a = 352

Common difference = d = second term - first term

                                  = 345 - 352

                                   = (-7)

nth term = a + (n-1)*d

43rd term = 352 + (43-1)*(-7)

                 = 352 + 42 *(-7)

                  = 352 - 294

                  = 58

Answer:

A 0.5

Step-by-step explanation:

p(b/a) = (p(a) × p(b))/p(a)

If A and B are independent events, P(A) = 0.4, and P(B) = 0.5, P(BIA) = 0.5 .So, correct option is A.

In probability theory, two events A and B are considered independent if the occurrence of one event does not affect the probability of the other event happening. Mathematically, this is represented as P(A ∩ B) = P(A) * P(B).

In this case, we are given that events A and B are independent, and we know the probabilities of each individual event: P(A) = 0.4 and P(B) = 0.5.

The probability of both events A and B occurring (denoted as P(A ∩ B) or P(B ∩ A)) is the product of their individual probabilities: P(A ∩ B) = P(A) * P(B).

So, P(B|A) represents the conditional probability of event B occurring given that event A has already occurred. Since A and B are independent, the occurrence of A doesn't affect the probability of B happening. Therefore, P(B|A) is equal to P(B), which is 0.5.

In summary, P(B|A) = P(B) = 0.5, as events A and B are independent, and the probability of B occurring is unaffected by the occurrence of A.

So, correct option is A.

To learn more about probability/events click on,

https://brainly.com/question/28502755

#SPJ2

At 33rd months, both functions give equal heights for the tree.

Given:

Samuel exponential function:  \(f(x)= 24.5(1.04)^x\),

and Gianna linear function: \(g(x) = 24.5+ 2x.\)

If both functions give equal heights for the tree then

Samuel exponential function = Gianna linear function

\(24.5(1.04)^x\) = 24.5 + 2x

From the Graph, if there point of intersection than it will gives that particular months.

This is because the point of intersection will be the point where both tree have equal height.

Therefore, at 33 months the height of tree will be same.

Learn more about Exponential Function here:

https://brainly.com/question/28596571

#SPJ12

The question attached here have the graph missing which is at the end.

Answer: -13

Step-by-step explanation:

\(\frac{M(3)+M(2)}{2} =\frac{[-2(3)^{2}] +[-2(2)^{2}]}{2}=\frac{(-2)(9)+(-2)(4)}{2}=\frac{-18-8}{2}=\frac{-26}{2}=-13\)

In summary, for the sum of ax^2 + b and mx^2 + nx to be linear, either both x^2 terms should be zero or equal, or both x terms should be zero or equal.

For the sum of ax^2 + b and mx^2 + nx to be linear, the conditions on the integer coefficients a, b, m, and n are:

The coefficients of x^2 terms (a and m) must be zero or equal to each other.

If a = 0 and m = 0, both terms become constant terms (b and n), resulting in a linear expression.

If a = m, the x^2 terms cancel out, leaving only the linear term.

The coefficients of the x terms (b and n) must be zero or equal to each other.

If b = 0 and n = 0, both terms become x^2 terms (ax^2 and mx^2), resulting in a quadratic expression.

If b = n, the x terms cancel out, leaving only the x^2 terms.

Know more about coefficients here:

https://brainly.com/question/28975079

#SPJ11

If the surface area of the stand to be 35 ft². The number of ropes purchase is 45.3125ft and  Percent of stand area is 83%.

Given:

Base area=3ft²

Height=3.2 feet

Surface area=35ft²

a. Number of ropes

Surface area=2×Base area×Base perimeter×Height

Base perimeter(BP):

35=2×3+BP×3.2

35=6+3.2BP

Collect like term

3.2BP=35-6

3.2BP=9

Divide both side by 3.2BP

BP=29/3.2

BP=9.0625ft

Number of ropes=5×9.0625ft

Nimber of ropes=45.3125ft

b. Percent of stand area:

Percent of stand area=(9.0625ft×3.2)÷35ft²

Percent of stand area=29ft²÷35ft²×100

Percent of stand area=82.857ft×100

Percent of stand area=83% (Approximately)

Therefore the number of ropes purchase is 45.3125ft and  Percent of stand area is 83%.

Learn more about Percent of stand area here:https://brainly.com/question/2639075

b) the current number of shares is 1440, and the market value of your investment is $17,280.

To calculate the current number of shares and the market value of your investment, we need to take into account the stock splits and stock dividends.

Given:

Initial investment: $1,000

Initial number of shares: 200

Current price per share: $12

a. Calculate the current number of shares:

First, let's consider the stock splits and stock dividends:

1. 2-for-1 stock split:

This means that for each existing share, you now have two shares. So the number of shares is doubled.

New number of shares = Initial number of shares * 2 = 200 * 2 = 400 shares.

2. 20% stock dividend:

A 20% stock dividend means you receive an additional 20% of your current number of shares. To calculate the number of shares received:

Shares received = Current number of shares * (20% / 100%)

Shares received = 400 * (20 / 100) = 80 shares.

Total number of shares after the dividend = Current number of shares + Shares received = 400 + 80 = 480 shares.

3. 3-for-1 stock split:

This means that for each existing share, you now have three shares. So the number of shares is tripled.

New number of shares = Total number of shares after the dividend * 3 = 480 * 3 = 1440 shares.

The current number of shares you have is 1440.

b. Calculate the market value of your investment:

Market value = Current number of shares * Current price per share

Market value = 1440 * $12 = $17,280

To know more about number visit:

brainly.com/question/3589540

#SPJ11

A. The equation of the circle with center (4, -5) and a diameter of 12 units is:

\((x - 4)^2 + (y + 5)^2\)= 36

B. To graph a circle by hand, plot the center (4, -5), mark points 6 units away horizontally and vertically, and connect them to form a circle.

C. The domain of the circle centered at (4, -5) with a radius of 6 units is -2 ≤ x ≤ 10.

Part A:

1. Given the center of the circle (4, -5) and the diameter of 12 units, we can determine the radius by dividing the diameter by 2. So, the radius is 6 units.

2. The equation of a circle with center (h, k) and radius r is given by the formula: \((x - h)^2 + (y - k)^2 = r^2.\)

3. Substituting the values from the given information, we have:\((x - 4)^2 + (y + 5)^2 = 6^2.\)

4. Simplifying further, we get: \((x - 4)^2 + (y + 5)^2 = 36.\)

Part B:

To graph the circle by hand on the coordinate plane:

1. Plot the center point (4, -5) on the coordinate plane.

2. Use the radius of 6 units to mark points on the circle. From the center point, move 6 units horizontally to the right and left, marking two points. Similarly, move 6 units vertically up and down, marking two more points.

3. Connect the marked points smoothly to form a circle.

Part C:

The domain of the circle is the set of all x-values that lie on the circle. In this case, the circle is centered at (4, -5) with a radius of 6 units.

To determine the domain, we look at the x-coordinates of the points on the circle. Since the circle is symmetric about the y-axis, the x-coordinates of the points will range from 4 units to the left of the center (4 - 6 = -2) to 4 units to the right of the center (4 + 6 = 10).

Therefore, the domain of the circle is -2 ≤ x ≤ 10.

For more such questions on circle, click on:

https://brainly.com/question/28162977

#SPJ8

Answer:

\(-12b + 6c + 18\)

Step-by-step explanation:

The key to answering this question is combining like terms. Add or subtract the terms that have the same variable.

1) Let's start with finding all the terms that have a b and combine them - those terms would be -4b and -8b. Add their coefficients (the numbers in front of the variable).

\(-4b + 8c + 12 - 8b - 2c + 6 \\= -12b + 8c + 12 - 2c + 6 \\\)

2) Next, let's do the same with all the terms that have a c. In this case, those terms would be 8c and -2c. So, add their coefficients too:

\(-12b + 8c + 12 - 2c + 6 \\\\= -12b + 6c + 12 + 6\)

2) Finally, combine the constants (the terms with no variables). Those numbers would be 12 and 6.

\(-12b + 6c + 12 + 6\\= -12b + 6c + 18\)

Thus, the answer is \(-12b + 6c + 18\).

If the investment is $5000 at 12% weekly compound interest then the balance after 2 years would be approximately $7,180.47.

To solve this problem, we can use the formula for compound interest:

A = \(P (1 + r/n)^{(nt)}\)

where A is the balance after t years, P is the principal amount invested, r is the annual interest rate, n is the number of times the interest is compounded in a year, and t is the number of years.

In this case, we have:

P = 5000 (the principal amount invested)

r = 0.12 (the annual interest rate)

n = 52 (since the interest is compounded weekly, there are 52 weeks in a year)

t = 2 (since we want to find the balance after 2 years)

Plugging these values into the formula, we get:

A = 5000 (1 + 0.12/52)⁵²ˣ²

A = $7,180.47

Therefore, the balance after 2 years is approximately $7,180.47.

To learn more about compound interest click here

brainly.com/question/29008279

#SPJ4

A. The equations are given as follows:

B. The solutions are given as follows: x = 11, y = -5.

C. The angles are given as follows:

The two parallel lines, p and q, are cut by the transversal line, hence angles 2 and 3 are supplementary angles, and thus:

x - 9y + 1 + 11x + 2 = 180

12x - 9y = 177.

Angles 1 and 2 are alternate interior angles, meaning that they are congruent, hence:

6x + y - 4 = x - 9y + 1.

5x + 10y = 5.

x + 2y = 1.

x = 1 - 2y.

Replacing in the first equation, the value of y is given by:

12(1 - 2y) - 9y = 177

33y = -165

y = -165/33

y = -5.

Then the value of x is of:

x = 1 - 2y = 1 + 10 = 11.

The angle measures are given as follows:

More can be learned about parallel and transversal lines and angles at https://brainly.com/question/24607467

#SPJ1

Based on the explanation using the combination method, the correct answer to the question is D. All four users have non-expiring passwords.

The MBSA scan likely provided a list of users along with their corresponding password expiration settings. The term "non-expiring passwords" refers to passwords that do not have an expiration date, meaning they remain valid indefinitely.

Now, let's analyze each option given in the question and determine the correct answer using the combination method:

A. 3 of 4:

If three out of the four users have non-expiring passwords, it means that only one user has an expiring password. However, this does not match our definition of non-expiring passwords. Therefore, Option A is incorrect.

B. 1 of 4:

If only one user out of the four has a non-expiring password, it means that the other three users have expiring passwords. This option does not satisfy the condition of non-expiring passwords for the majority of users. Hence, Option B is also incorrect.

C. 2 of 4:

If two users out of the four have non-expiring passwords, it means that the remaining two users have expiring passwords. This option suggests that half of the users have non-expiring passwords, which does not correspond to our definition of non-expiring passwords for the majority of users. Thus, Option C is incorrect.

D. 4 of 4:

If all four users have non-expiring passwords, it means that every user's password is set to never expire. This option aligns with our definition of non-expiring passwords for the majority of users. Therefore, Option D is the correct answer.

To know more about combination method here

https://brainly.com/question/28998705

#SPJ4

Complete Question:

From the MBSA scan performed in Task 3, how many users have non-expiring passwords?

A. 3 of 4

B. 1 of 4

C. 2 of 4

D. 4 of 4