ruby is using the quadratic formula to solve a quadratic equation. which of the following is the next step for simplifying x=−6±85√2 responses

x=−3±8√5

x=−3±√5

x=−3±4√5

this is fully simplified.

Answer:

72

Step-by-step explanation:

36 x 2 = 72 Double the number the Gavin got as an answer because he cut it in half

Answer:

389.5 in²

Step-by-step explanation:

15.5 + 5 = 20.5

20.5 x 19 = 389.5

The point where the PPF intersects the vertical axis is unattainable and efficient.

Using fixed resources, a distinct combination of two items can be created, as shown by the production possibility curve or frontier. The bundles of goods that are productively efficient and attainable are displayed at each point on the production potential curve.

The bundles that are feasible but productively efficient are represented by the points below the curve. The bundles that are unachievable because they demand additional resources are represented by the points above the production possibility curve. The PPF's intersection with the vertical axis is a productive, efficient, and reachable position.

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Answer:

1 - 7,4

The second one is a bit unclear to me.

If it is linear, graph it with a slope of 1 and a y-intercept of -7.

If it is quadratic,

2 - \(\sqrt{7}\),\(\sqrt{-7}\)

Step-by-step explanation:

Not exactly sure what you mean, but I'm going to assume it is a quadratic equation.

I used the quadratic formula for each of these problems.

(-b±\(\sqrt{b^2-4ac}\)) /2a

Answer:

Add 6 by both sides

Divide both sides by - 3

Answer:

x=1

Step-by-step explanation:

It will be x=1 because once it is at x=1, the parobola is split into 2 EQUAL parts. For example, if you graph this on paper and try to guess the middle and place a line where you want to split it, the line will go at x=1

Thank you :)

The functions f and g are inverses of each other provided that f(g(x)) = x and g(f(x) = x

The inverse of a function f(x) which is written as f⁻¹(x) is such that the function f(x) and its iinverse f⁻¹(x) follow the rule ff⁻¹(x) = f⁻¹f(x) = x

Now we are given that the functions f and g are inverses of each. It would then mean that g = f⁻¹ and f = g⁻¹.

Now, for f and g to be inverses of each other, we would now have that

ff⁻¹(x) = f(g(x) = x

Also, we also have then that

gg⁻¹(x) = g(f(x)) = x

So, thus we can now see that the functions f and g are inverses of each other provided that the conditions f(g(x)) = x and g(f(x) = x are met

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Based on the information provided, it appears that the regression model has found a statistically significant relationship between the outcome variable and the response variables while controlling for the effects of the two co-variables.

However, the R2 value of only 11.5% suggests that the model is explaining only a small portion of the variability in the outcome variable. This may indicate that there are other important factors that are not being accounted for in the model. It is also possible that the co-variables included in the model are not strong predictors of the outcome variable. Further investigation and analysis may be needed to fully understand the relationship between the variables and to improve the predictive power of the model.

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Answer:

% of the students prefer biology.

Step-by-step explanation:

Let's read and write all the data from the question.

100 students are interviewed to see which of biology, chemistry and physics they prefer.

Therefore, we have three categories to classify the students :

A student that prefers biology

A student that prefers chemistry

And a student that prefers physics

52 of the students are girls. Therefore,

students are boys.

29 of the girls like biology best. In order to answer the question, we will only need the amount of boys that prefer biology and sum them to the amount of girls that like biology best.

24 of the boys prefer physics. Therefore,

is the sum of the boys that prefer chemistry and biology.

13 out of the 21 who prefer chemistry are girls. Therefore,

are boys that prefer chemistry.

If 24 is the sum of the boys that prefer chemistry and biology ⇒

are boys that prefer biology.

If we sum  is the number of students that prefer biology.

If we want to calculate the percentage we need to divide the amount of students that prefer biology by the total of students interviewed and then multiply that number by 100 :

%

45 % of the students prefer biology.

Using linear regression to calculate the line of best fit is ŷ = 25.91429X + 553.13333

A line of best fit is a straight line that is used to describe the relationship between two variables in a scatter plot. The line of best fit is also known as the "trend line" or "regression line" and is used to make predictions about the values of one variable based on the values of the other variable.

Linear regression is a statistical method used to find the line of best fit for a set of data. Linear regression analysis is used to determine the linear relationship between two variables.

In the given data;

Sum of X = 21

Sum of Y = 3863

Mean X = 3.5

Mean Y = 643.8333

Sum of squares (SSX) = 17.5

Sum of products (SP) = 453.5

Regression Equation = ŷ = bX + a

b = SP/SSX = 453.5/17.5 = 25.91429

a = MY - bMX = 643.83 - (25.91*3.5) = 553.13333

ŷ = 25.91429X + 553.13333

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Answer:

$6.80

Step-by-step explanation:

1.79 x 3.8 = 6.802

So $6.80

Given:

Simplife:

The given simplifies equation is:

After the compare the both inequality:

a=2

b=2

c=2

d=6

e=1

f=9

Answer:

2 days

Step-by-step explanation:

12 - 4 = 8

8/3 = 2.7

The length of AC in triangle BAC is equal 10.7 units

In trigonometry, the cosine rule says that the square of the length of any side of a given triangle is equal to the sum of the squares of the length of the other sides minus twice the product of the other two sides multiplied by the cosine of angle included between them.

The formula is given as

AC² = AB² + BC² - 2(AB)(BC) cos AC

AC² = 6² + 7² - 2(6)(7)cos110

AC = 10.7

Using cosine rule, the length of AC is 10.7 unit.

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Given:

\(0.5(4x-8)+11=0.25(12x+20)-5\)

To find:

The value of x.

Solution:

We have,

\(0.5(4x-8)+11=0.25(12x+20)-5\)

Using distributive property, we get

\(0.5(4x)+0.5(-8)+11=0.25(12x)+0.25(20)-5\)

\(2x-4+11=3x+5-5\)

\(2x+7=3x\)

Subtract 2x from both sides.

\(7=3x-2x\)

\(7=x\)

Therefore, the value of x is 7.

Answer:

\(y=-3x+5\)

Step-by-step explanation:

A line being parallel to another means it has the same slope, so the slope of the new line is also -3.

Slope-intercept form is:

\(y=mx+b\)

where m is the slope, b is the y-intercept, and (x, y) is any point on the line. There are 4 variables in this equation, and we're already given 3 of them (slope, x, and y), so we can solve for the 1 unknown variable (y-intercept).

Plug in all known values:

\(\rightarrow y=mx+b\\\rightarrow(-1)=(-3)(2)+b\)

Now, you can solve for b.

\(\rightarrow-1=(-3\times2)+b\\\rightarrow-1=-6+b\\\rightarrow5=b\\\rightarrow b = 5\)

Finally, with both the slope and y-intercept, you can write the equation of the line:

\(y=-3x+5\)

The task is to determine the combination of dollars, dimes, and pennies that adds up to $3.25 while using the fewest number of bills and coins.

To find the combination of bills and coins that adds up to $3.25 with the fewest number of units, we need to consider the denominations of dollars, dimes, and pennies. Since we want to minimize the number of bills and coins, it makes sense to use the highest denomination first. In this case, a dollar bill is the highest denomination. We can start by subtracting as many dollar bills as possible from $3.25 until the remaining amount is less than a dollar.

Next, we can move on to dimes, which have a value of 10 cents. We want to use the fewest number of dimes, so we'll subtract as many dimes as possible from the remaining amount until the value is less than 10 cents. Finally, we can use pennies, which have a value of 1 cent, to make up the remaining amount. Again, we want to use the fewest number of pennies possible. To find the specific combination, we can go through a step-by-step process:

Start with $3.25.

Subtract one dollar bill ($1) from $3.25, leaving $2.25.

Subtract two dimes (2 x $0.10 = $0.20) from $2.25, leaving $2.05.

Subtract four pennies (4 x $0.01 = $0.04) from $2.05, leaving $2.01.

Subtract two dollars ($2) from $2.01, leaving $0.01.

The remaining $0.01 cannot be broken down further using the given denominations. Therefore, the fewest combination of bills and coins that adds up to $3.25 is 1 dollar bill, 2 dimes, and 4 pennies.

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When triangle DUH is rotated and then dilated by a scale factor of n, it means that the triangle is first turned around a fixed point, and then all of its sides are enlarged or reduced by a factor of n.

The rotation changes the position and orientation of the triangle in the plane, while the dilation changes its size. The resulting triangle will have different angles and side lengths than the original triangle, but it will be similar to it because the shape remains the same. The scale factor n determines how much bigger or smaller the triangle becomes after the dilation.

If triangle DUH is rotated and then dilated by a scale factor of n, it means the triangle has undergone two transformations. First, the triangle is rotated around a point, changing its orientation but keeping its shape and size. Second, the triangle is dilated by a scale factor of n, which enlarges or shrinks the triangle proportionally while maintaining its overall shape. The final result is a triangle with the same shape as the original DUH but with a different size and orientation.

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Answer:

4= 40.0    5=10.0 chance

Answer:

a

Step-by-step explanation:

kbhdghggjkljgggjjhgcd Dr

Answer:

i think it's b sorry if it's wrong

Step-by-step explanation:

Answer:

salary = $ 500 + 0.105 sales

Step-by-step explanation:

Weekly Income = 500 + 0.105S   where S= weekly sales

in x, y math format that's

y=500+0.105x

Economics often uses Q for quantity and Y for income

so,

Y=500+0.105Q

Hope this answer helps you :)

Have a great day

Mark brainliest

To sketch the region enclosed by the curves y = sin(x) and y = 5x, we plot the curves and find the bounds of the region. We integrate with respect to x to find the area of the region.

To sketch the region enclosed by the given curves, we first plot the curves y = sin(x) and y = 5x on a coordinate plane.

The curves intersect at two points: (0,0) and (π/6,π/3). The x-coordinates of the bounds of the region are x = 0 and x = π/6. The y-coordinate of the lower bound of the region is y = 0, and the upper bound of the region is y = 5x.

Since the region is bounded by the curves y = sin(x) and y = 5x, we can integrate with respect to x or y. However, since the region is easier to describe in terms of x, we will integrate with respect to x.

A typical approximating rectangle for the region is shown below:

To set up the integral for finding the area of the region, we need to determine the limits of integration. We integrate from x = 0 to x = π/6, and the integrand is given by the difference between the upper and lower bounds of the region:

Area = ∫₀^π/6 (5x - sin(x)) dx

We can evaluate this integral using integration techniques such as integration by parts or numerical methods such as Simpson's rule.

Overall, the region enclosed by the given curves is a triangular region, and we can integrate with respect to x to find its area.

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Answer:

B one is answer because maths is easy

Answer:

B

Step-by-step explanation:

this is really simple. Just multiply the exponents to get rid of the parenthesis.

(-2 times 2 is -4)

(7 times 2 is 14)

so you get a to the power of -4 times 8 to the power of 14.

the answer is B

Answer:

B a⁻¹⁴ · 8¹⁴

Step-by-step explanation:

(a⁻² · 8⁷)²

= a⁽⁻²⁾⁽²⁾ · 8⁽⁷⁾⁽²⁾

= a⁻⁴ . 8¹⁴

The vectors T, N, and B at the given point are: T = (4/3, -2, 0), N = (-2/3, -4/3, 1), and B = (2/3, -4/3, -2).

To find the vectors T, N, and B, we need to find the unit tangent vector T, the unit normal vector N, and the unit binormal vector B at the given point. First, we find the first derivative of the vector function r(t) to get the tangent vector: r'(t) = (2t, 2t^2, 1). Then we evaluate it at t = 1 to get r'(1) = (2, 2/3, 1). To find the unit tangent vector T, we divide r'(1) by its magnitude: T = (2/3, 2/9, 1/3).

Next, we find the second derivative of r(t) to get the curvature vector: r''(t) = (2, 4t, 0). Then we evaluate it at t = 1 to get r''(1) = (2, 4, 0). To find the unit normal vector N, we divide r''(1) by its magnitude and negate it: N = (-2/3, -4/3, 1). Finally, we find the cross product of T and N to get the unit binormal vector B: B = (2/3, -4/3, -2).

Therefore,  T = (4/3, -2, 0), N = (-2/3, -4/3, 1), and B = (2/3, -4/3, -2)) is the answer.

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\(\boxed{\sf a_n=\dfrac{a_{n-1}}{10}\times 4,n\gt 1}\)

Lets verify

\(\\ \sf\longmapsto a_2=\dfrac{a_1}{10}\times 4\)

\(\\ \sf\longmapsto a_2=\dfrac{500}{10}\times 4=50(4)=200\)

And

\(\\ \sf\longmapsto a_3=\dfrac{a_2}{10}\times 4\)

\(\\ \sf\longmapsto a_3=\dfrac{200}{10}\times 4=20(4)=80\)

And

\(\\ \sf\longmapsto a_4=\dfrac{a_3}{10}\times 4\)

\(\\ \sf\longmapsto a_4=\dfrac{80}{10}\times 4=8(4)=32\)

Hence verified

Lets predict next term

\(\\ \sf\longmapsto a_5=\dfrac{a_4}{10}\times 4\)

\(\\ \sf\longmapsto a_5=\dfrac{32}{10}\times 4=3.2\times 4=12.8\)

So, the experimental probability that the next student Meg talks will pick football is 0.2 or 20%.

Probability is a measure of the likelihood of an event occurring, expressed as a number between 0 and 1. It is used to quantify the uncertainty or risk associated with a particular event or situation.

Given by the question.

The experimental probability of an event is the ratio of the number of times the event occurs to the total number of trials or observations. In this case, the event is selecting football as the favorite sport, and the trials are the number of students Meg talks to.

Based on the information given in the problem, Meg surveyed a total of 10 students (2 who selected football and 8 who selected other sports). Therefore, the probability of the next student she talks to selecting football as their favorite sport is:

P (selecting football) = number of students who selected football / total number of students surveyed

P (selecting football) = 2 / 10

P (selecting football) = 0.2

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The probability of selecting a brown M&M from this bag is 0.

Since there are no brown M&Ms mentioned in your bag, the probability of selecting a brown M&M is 0. In probability terms, we can express this as:

Probability of selecting a brown M&M = Number of brown M&Ms / Total number of M&Ms

There are 0 brown M&Ms, and there are a total of 4 green + 6 yellow + 7 purple + 3 red = 20 M&Ms in the bag. So the probability is:

Probability = 0 / 20 = 0

Thus, the probability of selecting a brown M&M from this bag is 0, meaning it's impossible with the given information.

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Answer:

the answer is \(\frac{20}{29}\)

Step-by-step explanation: