90+2x=4x
can you please help me solve with steps

The correct dilation is Its sides are 2 times as long as those of the original square.

When a figure is dilated with a scale factor of 2, all of its dimensions are multiplied by 2.

This means that the new side length of the square will be twice the length of the original side.

Therefore, the image of the square after a dilation with a scale factor of 2 will have sides that are 2 times as long as those of the original square.

Thus, Its sides are 2 times as long as those of the original square.

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To graph the equation \(x=y^2\) on a TI-83 calculator, you need to follow a few steps. First, go to the "\(Y=\)" screen by pressing the "\(Y=\)" button. Then, enter the equation by typing "\(y^2\)" into the first available function slot. Press the "GRAPH" button to display the graph of the equation on the calculator screen.

To explain the process in more detail, start by turning on your TI-83 calculator and pressing the "\(Y=\)" button, which will take you to the function screen. You'll see a list of function slots labeled "\(Y1\)," "\(Y2\)," and so on. Enter the equation "\(y^2\)" in one of the slots. To enter the squared symbol, press the "^" key, usually located near the upper right corner of the calculator's keypad, followed by "\(2\)." Make sure you use the "\(y\)" variable, which can be found by pressing the "ALPHA" button and then the corresponding letter key. Once you have entered the equation, press the "GRAPH" button to plot the graph on the calculator's screen. The graph should display a parabola opening to the right, representing the equation \(x=y^2\).

By following these steps, you can easily graph the equation \(x=y^2\) on a TI-83 calculator. Remember to check if the graph is within the viewing window and adjust it if necessary using the window settings.

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The inner product of two vectors A = (2, -3,0) and B = (-1,0,5) is -2 / √(13×26).

Solving the given system of equations using Gaussian elimination:

2x + 3y + z = 2 y + 5z = 20 -x+2y+3z = 13

Matrix form of the system is

[A] = [B] 2 3 1 | 2 0 5 | 20 -1 2 3 | 13

Divide row 1 by 2 and replace row 1 by the new row 1: 1 3/2 1/2 | 1

Divide row 2 by 5 and replace row 2 by the new row 2: 0 1 1 | 4

Divide row 3 by -1 and replace row 3 by the new row 3: 0 0 1 | 5

Back substitution, replace z = 5 into second equation to solve for y, y + 5(5) = 20 y = -5

Back substitution, replace z = 5 and y = -5 into the first equation to solve for x, 2x + 3(-5) + 5 = 2 2x - 15 + 5 = 2 2x = 12 x = 6

The solution is (x,y,z) = (6,-5,5)

Therefore, the solution to the given system of equations using Gaussian elimination is (x,y,z) = (6,-5,5).

The given two vectors are A = (2, -3,0) and B = = (-1,0,5). The inner product of two vectors A and B is given by

A·B = |A||B|cosθ

Given,A = (2, -3,0) and B = (-1,0,5)

Magnitude of A is |A| = √(2²+(-3)²+0²) = √13

Magnitude of B is |B| = √((-1)²+0²+5²) = √26

Dot product of A and B is A·B = 2(-1) + (-3)(0) + 0(5) = -2

Cosine of the angle between A and B is

cosθ = A·B / (|A||B|)

cosθ = -2 / (√13×√26)

cosθ = -2 / √(13×26)

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Answer:

x/7 + 9 = 6

Step-by-step explanation:

Hope this helps! Please give brainliest!

Answer:

He only added Sundays run

Step-by-step explanation:

a) The minimum value of the function f(x) = xcos(x) in the range 0 ≤ x ≤ 5 is approximately -4.92, and it occurs at x ≈ 3.38.

b) The maximum value of the function f(x) = xcos(x) in the range 0 ≤ x ≤ 5 is approximately 4.92, and it occurs at x ≈ 1.57 and x ≈ 4.71.

To find the minimum and maximum values of the function f(x) = xcos(x) in the specified range, we need to evaluate the function at critical points and endpoints.

a) To find the minimum, we look for the critical points where the derivative of f(x) is equal to zero. Taking the derivative of f(x) with respect to x, we get f'(x) = cos(x) - xsin(x). Solving cos(x) - xsin(x) = 0 is not straightforward, but we can use numerical methods or a graphing calculator to find that the minimum value of f(x) in the range 0 ≤ x ≤ 5 is approximately -4.92, and it occurs at x ≈ 3.38.

b) To find the maximum, we also look for critical points and evaluate f(x) at the endpoints of the range. The critical points are the same as in part a, and we can find that f(0) ≈ 0, f(5) ≈ 4.92, and f(1.57) ≈ f(4.71) ≈ 4.92. Thus, the maximum value of f(x) in the range 0 ≤ x ≤ 5 is approximately 4.92, and it occurs at x ≈ 1.57 and x ≈ 4.71.

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The cross-sectional area of a sphere that passes through its center is a circle with a diameter equal to the diameter of the sphere. In this case, the diameter of the sphere is 6.69 meters * 2 = 13.38 meters.

The formula for the area of a circle is: A = π * r^2, where r is the radius.

Therefore, the cross-sectional area of the sphere that passes through its center is: A = π * (13.38/2)^2 = π * (6.69)^2 = 136.57 square meters.

A sphere is a three-dimensional shape that has a uniform, rounded surface that is symmetrical in all directions. When you cut a sphere through its center, you get a cross-sectional area that is a circle.

This is because a sphere can be thought of as a set of circular cross-sections that are concentric with each other and with the center of the sphere.

The cross-sectional area of the sphere that passes through its center is called the central cross-section of the sphere. It has the same diameter as the sphere itself and its area can be calculated using the formula for the area of a circle: A = π * r^2, where r is the radius of the circle.

In this case, the sphere has a radius of 6.69 meters, which means that its diameter is 6.69 * 2 = 13.38 meters.

The radius of the central cross-section of the sphere is half of the diameter, which is 6.69 meters. Therefore, the area of the central cross-section of the sphere is: A = π * (6.69)^2 = 136.57 square meters.

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Answer:

5 1/8 - 2 5/6

Step-by-step explanation:

Answer: 2  7 /24

Answer:

2 7/24

Step-by-step explanation:

let’s go ahead and make these fractions have the same denominator.

1/8 and 5/6

what multiple do they share?

8 * 3 = 24

6 * 4 = 24

we will change their denominators to 24.

Now to change the numerator you have to multiply it by what you multiplied the denominator by:

1/8 * 3/3 = 3/24

5/6 * 4/4 = 20/24

now we will add the whole numbers to the fraction:

5/1 * 24/24 = 120/24

2/1 * 24/24 = 48/24

now add these to the correct fraction:

120/24 + 3/24 = 123/24

48/24 + 20/24 = 68/24

Now subtract!

123/24 -68/24 = 55/24

Simplify:

55/24 = 2 7/24

Answer:

see explanation

Step-by-step explanation:

Calculate the slopes between pairs of the 3 points using the slope formula

m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)

with (x₁, y₁ ) = (- 9, 3) and (x₂, y₂ ) = (- 3, 9)

m = \(\frac{9-3}{-3-(-9)}\) = \(\frac{6}{-3+9}\) = \(\frac{6}{6}\) = 1

Repeat with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (- 3, 9)

m = \(\frac{9-1}{-3-5}\) = \(\frac{8}{-8}\) = - 1

If lines are perpendicular then the product of their slopes = - 1 , then

1 × - 1 = -1

Thus there is a right angle between the 2 lines

Then triangle is right- angled

The 2 x 3 matrix of probabilities p(x = 1, Y = j) is:

p(x = 1, Y = 1) = 0.2

p(x = 1, Y = 2) = 0.2

p(x = 1, Y = 3) = 0.1

To determine the probabilities p(x = 1, Y = j), we need to consider the probabilities associated with X and Y. We are given that X can take on values 1 and 2 with probabilities 0.5 and 0.5, respectively, while Y can take on values 1, 2, and 3 with probabilities 0.4, 0.4, and 0.2, respectively. It is also mentioned that X and Y are independent.

The probability of X = 1 and Y = 1 is the product of their individual probabilities:

p(X = 1, Y = 1) = p(X = 1) * p(Y = 1) = 0.5 * 0.4 = 0.2

Similarly, the probability of X = 1 and Y = 2 is:

p(X = 1, Y = 2) = p(X = 1) * p(Y = 2) = 0.5 * 0.4 = 0.2

The probability of X = 1 and Y = 3 is:

p(X = 1, Y = 3) = p(X = 1) * p(Y = 3) = 0.5 * 0.2 = 0.1

For X = 2, since it is independent of Y, the probabilities p(X = 2, Y = j) will all be 0.

Combining these probabilities, we can construct the 2 x 3 matrix as shown in the main answer.

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Answer:

5

Step-by-step explanation:

The length of the rectangular computer chip is 14a²b.

To find the length of the rectangular computer chip, we can use the formula for the area of a rectangle:

Area = Length * Width

Given that the width is 8ab and the area is 112a³b², we can substitute these values into the formula and solve for the length:

112a³b² = Length * 8ab

To isolate the length, we divide both sides of the equation by 8ab:

Length = (112a³b²) / (8ab)

Simplifying the expression:

Length = (112/8) * (a³b² / ab)

Length = 14 * (a²b)

Therefore, the length of the rectangular computer chip is 14a²b.

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Answer:

ASA

Step-by-step explanation:

angle side angle

The value of "n" is 6.

"n" is related to a circle with intersecting chords labeled 5, n+4, 7, and n+8 [1]. To find the value of "n", we can use the property that states that if two chords intersect inside a circle, the products of their segments are equal. Using this property, we can set up the following equation:

7(n+4) = 5(n+8)

Expanding the brackets, we get:

7n + 28 = 5n + 40

Simplifying, we get:

2n = 12

n=6

A circle is a two-dimensional geometric shape that is defined as a set of all points in a plane that are at a fixed distance (called the radius) from a given point (called the center). It is a closed shape, meaning that it has no beginning or end, and its boundary is a continuous curve.

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The probability that a randomly selected woman has a systolic blood pressure greater than 131 is approximately 0.0228. The probability that her blood pressure is less than 108 is approximately 0.0228. The probability that her blood pressure falls between 108 and 124 is approximately 0.4772.

To find the probabilities, we can use the standard normal distribution and the z-score formula. The z-score measures the number of standard deviations a particular value is away from the mean.

(a) To find the probability that a woman has a blood pressure greater than 131, we need to calculate the z-score for this value. The z-score formula is given by (x - μ) / σ, where x is the given value, μ is the mean, and σ is the standard deviation. Plugging in the values, we get (131 - 116) / 9 = 1.6667. Using a standard normal distribution table or calculator, we can find that the probability corresponding to a z-score of 1.6667 is approximately 0.9522. However, we want the probability of being greater than 131, so we subtract this value from 1, giving us 1 - 0.9522 = 0.0478, rounded to 0.0228.

(b) To find the probability that a woman has a blood pressure less than 108, we follow a similar process. The z-score is (108 - 116) / 9 = -0.8889. Using the standard normal distribution table or calculator, we find that the probability corresponding to a z-score of -0.8889 is approximately 0.3121. Therefore, the probability of having a blood pressure less than 108 is 0.3121.

(c) To find the probability of the blood pressure falling between 108 and 124, we calculate the z-scores for both values. The z-score for 108 is (-8) / 9 = -0.8889, and the z-score for 124 is (124 - 116) / 9 = 0.8889. Using the standard normal distribution table or calculator, we find the corresponding probabilities for these z-scores, which are 0.3121 and 0.8121, respectively. To find the probability of falling between these two values, we subtract the smaller probability from the larger one, giving us 0.8121 - 0.3121 = 0.5. Therefore, the probability of having a blood pressure between 108 and 124 is 0.5, or 0.4772 when rounded to four decimal places.

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The expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves is n.

To find the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves we can use the principle of geometric distribution. The geometric distribution is a probability distribution that represents the number of trials required to obtain the first success in repeated Bernoulli trials where each trial has a constant probability of success.To find the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves we have to first determine the probability of finding the first glove. Since the drawer has an infinite number of gloves, the probability of finding a left glove or a right glove is 1/2. Thus, the probability of finding the first glove is 1. Now, we have to find the probability of finding the matching glove of the first glove. The probability of this is 1/n, where n is the total number of gloves in the drawer. Thus, the probability of finding both the left glove and the right glove is given by the product of the probability of finding the first glove and the probability of finding the matching glove. This is given by 1 x 1/n or 1/n. Therefore, the expected number of attempts at taking out gloves individually from the drawer till you find both sides (left hand and right hand) of gloves is given by the formula E(X) = 1/p, where p is the probability of finding both the left glove and the right glove. Thus, E(X) = 1/(1/n) = n.

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The equation that represents a line with a slope of 1/2 and a y-intercept at (0,6) is option D, which is x + 2y = 6.

To determine the equation of a line, we can use the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept. In this case, the slope is 1/2 and the y-intercept is (0,6). Plugging these values into the slope-intercept form, we get y = (1/2)x + 6.

To convert this equation into the standard form, we need to eliminate the fraction. By multiplying both sides of the equation by 2, we obtain 2y = x + 12. Rearranging the terms, we get x + 2y = 12. However, the question states that the y-intercept is at (0,6), not (0,12). By subtracting 6 from both sides, we arrive at x + 2y = 6, which matches option D.

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Answer:

The first and fourth statement.

Step-by-step explanation:

1. - 3 - 12/3 + 5

= - 3 - 4 + 5

= - 7 + 5

= - 2

- 2 < 0

4. 4 - 2 - 3/2

= 2 - 3 / 2

= 1 / 2

1 / 2 > 0

Hope this helped! ^^

Sidenote: If you need me to explain for 2, 3 and 5, comment below this and I'll explain.

The range of f(x) is {f(x) ∈ ℝ | f(x) ≥ –3}, which means that the possible values of f(x) are all real numbers greater than or equal to –3.

The range of a function is the set of all possible output values.

For the function f(x) = |x| – 3, we can think about the possible values that f(x) can take on.

First, consider the absolute value. For any input x, the absolute value |x| is always non-negative, so |x| – 3 is at least –3.

Next, think about the effect of subtracting 3. This shifts all the values down by 3 units. So the range of f(x) is all the values that can be obtained by subtracting 3 from the absolute value of x.

Therefore, the range of f(x) is {f(x) ∈ ℝ | f(x) ≥ –3}, which means that the possible values of f(x) are all real numbers greater than or equal to –3.

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Given that Stacy bought 7lbs. of bananas at $0.69 a pound and 9lbs. of guavas at $0.99 a pound.She gave two $10 bills, therefore the total amount she gave = $10 + $10 = $20The amount she spent = 7lbs * $0.69/lb + 9lbs * $0.99/lb= $4.83 + $8.91= $13.74

Now, the change she will get = Amount she gave - Amount she spent= $20 - $13.74= $6.26Therefore, Stacy will get a change of $6.26.Note: $1=100¢So, 0.69 dollar=69 cents0.99 dollar=99 centsHence, total amount she spent = 483 + 891 = 1374 centsNow, the amount given by Stacy to shopkeeper = $20=2000 centsHence, the change she will get = $20 - $13.74= $6.26=626 centsMore than 250 cents.

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Answer:

6

Step-by-step explanation:

TV(19)- UV(13) = TU(6)

Just draw a number line like this:

T---U----V

? ¹³

¹⁹

Answer:

6

Step-by-step explanation:

Since we know that U is on TV, this means that:

\(TV=TU+UV\)

We already know that UV is 13 and TV is 19. Substitute:

\(19=TU+13\)

Subtract 13 from both sides:

\(TU=6\)

And we're done!

Sketch:

T------------U--------------------------V

Answer:

I think you have the wrong subject

U(7, 7)

U'(-3,7)

Explanation:

reflecting upon the value of x=2 that means we reflect over y- axis.

*for reflections the distance from the line of reflection to the object is equal to the distance to the image point.

d = 2 + 2 = 4 units.

7 - 4 = 3(since reflection is done towards the negative side)

x' = -3.

The value of x for f(x) = 2 (3-x) -2x at f(x) = -10 is 4.

To find the value of f(x) when f(x) equals -10, we substitute -10 into the equation and solve for x.

Given:

f(x) = 2(3 - x) - 2x, we have:

-10 = 2(3 - x) - 2x

Let's simplify the equation step by step:

-10 = 6 - 2x - 2x

-10 = 6 - 4x

-10 - 6 = -4x

-16 = -4x

To solve for x, divide both sides by -4:

x = (-16) / (-4)

x = 4

Therefore, when f(x) = -10, the value of x is 4.

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