5x-3)-7(x-2)=2(4x+3)-3(2x-4)+1

x=-2

PLS VERIFY IT
DO THE OPERATION TO VERIFY IT

I HAVE 10 MINS LEFT

Answer:

axis of symmtery: x = 3 or h = 3

Step-by-step explanation:

The vertex (h, k) of a parabola is the point wherein the graph intersects the axis of symmetry—the imaginary straight line that bisects a parabola into two symmetrical parts, where x = h.

Regardless of whether the quadratic equation is in standard or vertex form, the x-coordinate (h) of the vertex determines the axis of symmtetry, hence, x = h.

Therefore, given that the vertex of a parabola is at point (3, 5), then it means that the axis of symmetry occurs at x = 3 or h = 3.      

To prove that in any group, an element and its inverse have the same order, we need to show that if we have an element `a` in a group and `n` is the order of `a`, then the order of `a`'s inverse, denoted as `a⁻¹`, is also `n`.

Let's assume that `a` has order `n`. This means that the smallest positive integer `n` such that `aⁿ = e` (the identity element) is `n`. We want to show that the order of `a⁻¹` is also `n`.

First, let's consider the order of `a⁻¹`. By definition, the order of `a⁻¹` is the smallest positive integer `m` such that `(a⁻¹)ᵐ = e`.

Now, we can use the fact that `aⁿ = e` to rewrite `a⁻¹` raised to the power of `n`:

(a⁻¹)ᵐ = ((aⁿ)⁻¹)ᵐ = (e⁻¹)ᵐ = eᵐ = e.

This shows that `(a⁻¹)ᵐ = e`, which implies that the order of `a⁻¹` is at most `m`.

To prove that the order of `a⁻¹` is exactly `n`, we need to show that `m` cannot be smaller than `n`.

Suppose, for contradiction, that `m < n`. Then we have:

(aⁿ)⁻¹ = (aⁿ)⁻¹ᵐ = aⁿᵐ = e.

This would imply that `aⁿ` has an inverse and `(aⁿ)⁻¹` has order `m`, which contradicts the definition of `n` as the smallest positive integer satisfying `aⁿ = e`.

Therefore, we conclude that the order of `a⁻¹` cannot be smaller than `n`. Since we have shown that it is at most `m` and not smaller than `n`, it follows that the order of `a⁻¹` is exactly `n`.

Hence, in any group, an element and its inverse have the same order.

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Answer:

I think its 5 t shirts for 11 dollars?

Step-by-step explanation:

Answer:

When she buys 0 t-shirts, the price is $0.

Step-by-step explanation:

x - 1 < -10

add 1 to both sides

x - 1 + 1 < -10 + 1

x < -9

We can be 99.7% confident that the true proportion of individuals with schizophrenia in the population lies between 0.44 and 0.62.

In our schizophrenia model, the rough 99.7% certainty stretch can be determined utilizing the point gauge and standard blunder of the extent. With a point gauge of 0.53 and a standard blunder of 0.03, we can involve the equation for a certainty stretch, which is point gauge ± z* (standard mistake), where z* is the z-score related with the ideal certainty level.

For a 99.7% certainty stretch, the z-score is roughly 3. Consequently, the certainty span would be:

0.53 ± 3(0.03) = (0.44, 0.62)

This implies that we can be 99.7% certain that the genuine extent of people with schizophrenia in the populace lies somewhere in the range of 0.44 and 0.62.

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Answer:

5) 6

6)-70

7)5

8)-295

9)1

10)4

Step-by-step explanation:

5)10-4=6

6)-3(-5)^2+5=-70

7)-3(0)^2+5=5

8)-3(10)^2+10=-295

9)1/5=0.2

0.2(-5)+2=1

10)0.2(10)+2=4

Answer:

y+4= 1/4 * (x+6)

* = Multiply symbol...

Step-by-step explanation:

Point Slope formula is y-y1=m(x-x1)

All you have to do is plug those y's and x's in and you get most of your answer. The part with the actual math is that to find the m which is the slope, you have to do y2-y1/x2-x1. So 2/8 which simplified to 1/4. And BAM point Slope formula.

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Answer:

the answer is B

x = 1

Step-by-step explanation:

the symmetry is in the middle of the curve like a mirror and the equation of the mirror or symmetry line is x=1

A system of equations that could be used to find the number of adults and the number of children in the theatre is:

x + y = 362

y = x + 140

In order to write a system of linear equations to describe this situation, we would assign variables to the number of adults and number of cats respectively, and then translate the word problem into algebraic equation as follows:

Since the total number of adults and children at this theatre is 362, a linear equation which represents this situation is given by;

x + y = 362

Additionally, there are 140 more adults than children;

y = x + 140

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Therefore, the probability that all four trees selected are apple trees is 0.0038, which can be expressed as a decimal rounded to four decimal places.

To find the probability that all four trees selected are apple trees, we need to use the formula for probability:
P(event) = number of favorable outcomes / total number of possible outcomes
In this case, we want to find the probability of selecting four apple trees out of a total of 100 trees. We know that there are 62 apple trees out of 100, so we can use this information to calculate the probability.
First, we need to calculate the number of favorable outcomes, which is the number of ways we can select four apple trees out of 62:
62C4 = (62! / 4!(62-4)!)

= 62 x 61 x 60 x 59 / (4 x 3 x 2 x 1)

= 14,776,920
Next, we need to calculate the total number of possible outcomes, which is the number of ways we can select any four trees out of 100:
100C4 = (100! / 4!(100-4)!)

= 100 x 99 x 98 x 97 / (4 x 3 x 2 x 1)

= 3,921,225
Finally, we can calculate the probability by dividing the number of favorable outcomes by the total number of possible outcomes:
P(event) = 14,776,920 / 3,921,225 = 0.0038
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The new observation (green circle) would be classified as a blue square if the algorithm employs a k-value of 5 and no distance-based weighting of observations in the majority voting.

k-NN algorithm is a supervised machine learning algorithm that can be used for classification and regression. It is based on the idea that objects that are close to each other are likely to belong to the same class or have similar output values.

k-NN stands for "k-nearest neighbors" and refers to the number of neighboring training data points that are used to classify or predict the value of a new data point.

The k-NN algorithm works as follows:

1. Choose a value for k (the number of neighboring training data points to consider)

2. Calculate the distance between the new data point and all the training data points

3. Select the k training data points with the smallest distances to the new data point

4. For classification, take the majority class among the k training data points and assign it to the new data point. For regression, take the average output value among the k training data points and assign it to the new data point.

In the given scenario, if the k-NN algorithm employs a k-value of 5 and no distance-based weighting of observations in the majority voting, the new observation (green circle) would be classified as a blue square.

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Answer:

2

Step-by-step explanation:

It's 2

Answer: x = 10

Step-by-step explanation:

The value of unknown variable x for the parallel lines AB and CD with given angles is equal to 15°.

Line AB and CD are parallel to each other.

Let us consider EF be the transversal and also consider the intersecting point of AB and CD with transversal such that

A-M-B , C-N-D and E-M-N-F.

Here,

Measure of angle BME = 7x -40°

Measure of angle CNF = 5x -10°

Since line AB and CD are parallel,

use the property that corresponding angles are equal when a transversal intersects two parallel lines.

Angle BME is corresponding to angle CNF.

So, we can set up an equation:

Measure of angle BME = Measure of angle CNF

(7x - 40°) = (5x - 10°)

Now, let's solve for x:

Subtract 5x from both sides:

7x - 5x - 40° = 5x - 5x - 10°

2x - 40° = -10°

Now, add 40° to both sides:

2x - 40° + 40° = -10° + 40°

2x = 30°

Finally, divide by 2:

x = 30° / 2

x = 15°

Therefore, the value of x for the given parallel lines is 15°.

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Answer:

x=1

Step-by-step explanation:

13x-12=7x-6

13x-7x=-6+12

6x=6

x=1

I hope this helps, have a great day! :) -wilzW

After solving the equation, the value obtained for x is equal to 1.

Equations are mathematical expressions that have two algebra on either side of an equal (=) sign. The expressions on the left and right are shown to be equal to one another, demonstrating this relationship. L.H.S. = R.H.S. (left-hand side = right side) is a fundamental simple equation.

As per the given equation in the question,

13x - 12 = 7x - 6

13x - 7x = -6 + 12

6x = 6

x = 6/6

x = 1

Therefore, the value obtained for x will be equal to 1.

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Answer:what is the graph?

Step-by-step explanation:

Answer:

There are 2 solutions to square root x = 9

They are 3, and -3

Step-by-step explanation:

The square root of x=9 has 2 solutions,

The square root means, for a given number, (in our case 9) what number times itself equals the given number,

Or, squaring (i.e multiplying with itself) what number would give the given number,

so, we have to find the solutions to \(\sqrt{9}\)

since we know that,

\((3)(3) = 9\\and,\\(-3)(-3) = 9\)

hence if we square either 3 or -3, we get 9

Hence the solutions are 3, and -3

Answer: 2.45

this is what it is

Answer:

2.54

Step-by-step explanation:

trust me.

Answer: 0.71

Step-by-step explanation:

Since we have just two flavors, the probability of a cup drink being cola flavour will be calculated below:

P(R) + P(C) = 1

0.29 + P(C) = 1

P(C) = 1 - 0.29

P(C) = 0.71

Therefore, the probability of a cup drink being cola flavour is 0.71.

To find:

The method of drwaing the graph of given inequality.

Solution:

Given inequality: -3m +18 < 30.

Solve the inequality:

To draw the graph, draw a dotted line on -4. Since, the solution set contains all numbers greater than -4,so, shade the portion that lies to right side of -4.

Answer:

The right answer is C.

Step-by-step explanation:

The parent function is:

\(f(x)=x^3\)

If something is subtracted from variable \(x\) it means the graph shifted toward right and something is added to \(y\) value then the graph is shifted up.

\(f(x)=(x-8)^3\)

graph shifted toward right by \(8\) units right

\(f(x)=(x-8)^3+3\)

graph shifted toward right by \(3\) units up

Thus the new function is:

\(g(x)=(x-8)^3+3\)

Answer:

1 1/3 min

Step-by-step explanation:

you would do 60x(1/3) (60 is in seconds) to find how long Ariella played and you would get 20 seconds then you would multiply 20x4 and get eighty, you could stop there if the answer is acceptable in seconds but if they want it in minutes then you would divide 80 by sixty and you would be left with 1 and 1/3 minutes.

To determine which vitamin leads to weight gain, a hypothesis test can be conducted using SPSS with a level of significance of 5%. The group with the significantly higher mean weight gain would indicate which vitamin leads to weight gain.

To determine which vitamin leads to weight gain at a level of significance of 5%, a hypothesis test needs to be conducted. The null hypothesis would be that there is no significant difference in weight gain between the three groups, and the alternative hypothesis would be that there is a significant difference.

To conduct the test in SPSS, the first step would be to input the data for each group and calculate the mean weight gain for each group. Then, a one-way ANOVA test can be conducted to determine if there is a significant difference between the means. The level of significance is set at 5%.

If the p-value is less than 0.05, the null hypothesis can be rejected, indicating that there is a significant difference between the means. Further post-hoc tests can then be conducted to determine which specific groups differ significantly.

In conclusion, to determine which vitamin leads to weight gain, a hypothesis test can be conducted using SPSS with a level of significance of 5%. The group with the significantly higher mean weight gain would indicate which vitamin leads to weight gain.

To determine which vitamin leads to weight gain in the specific population, you can perform an analysis using SPSS at a 5% level of significance. First, input the weight gain data for the three vitamin groups into SPSS. Then, conduct an ANOVA (Analysis of Variance) test to compare the means of the three groups. If the p-value obtained from the test is less than the level of significance (0.05), it indicates a significant difference between the groups. Further post-hoc tests (such as Tukey's HSD) can then be conducted to identify which vitamin group leads to a significant weight gain compared to the others.

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The diameter of the circle is 26 in

To find the diameter of circle Q, we used the concept that the diameter of a circle is twice the radius.

We were given the area of the circle, and we used the formula for the area of a circle, A = πr², to find the value of the radius.

Once we found the value of the radius, find the diameter by finding twice the radius.

Here we have

Area of the Circle Q, A = 169π in²  

Let r be the radius of the circle

Using the formula,

Area of the circle A = πr²

=> πr² =  169π

=>  r² = 169

=>  r = 13

Hence radius of the circle = 13

So diameter of the circle, d = 2r = 2(13) = 26 in

Therefore,

The diameter of the circle is 26 in.

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Answer:

183/28

Step-by-step explanation:

Answer:

A) Notice that the given function is the function absolute value translated 1 unit to the right, dilated by a factor of 1/2, reflected over the x-axis, and finally, translated two units up. Therefore

has a vertex with coordinates:

B) Since the vertex is at (1,3), the graph has an axis of symmetry with equation:

C) The t-chart and the graph of the equation are as follows:

The computation shows that pi plus the square root of 70 to the nearest hundredth will be C. 11.51

From the information, we are told to pi plus the square root of 70 to the nearest hundredth. This will be:

= π + ✓70

= 3.14 + 8.37

= 11.51

The description in words where the square root of forty-eight would be plotted on the number line will be between 6 and 7, but closer to 7.

Lastly, it should be noted that square root of one hundred fifty > one hundred fourteen ninths.

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The exchange rate in 2010 should be $0.66/riyal. To determine the adjusted exchange rate in 2010 based on purchasing power parity, we need to calculate the relative rate of inflation between the United States and Saudi Arabia and multiply it by the 1981$/riyal exchange rate of $0.42.

The formula for calculating the relative rate of inflation is:

Relative Rate of Inflation = (Saudi Arabian Price Level / U.S. Price Level) - 1

Given that the Saudi Arabian price level in 2010 is 240 and the U.S. price level in 2010 is 100, we can calculate the relative rate of inflation as follows:

Relative Rate of Inflation = (240 / 100) - 1 = 1.4 - 1 = 0.4

Next, we multiply the relative rate of inflation by the 1981$/riyal exchange rate:

Adjusted Exchange Rate = 0.4 * $0.42 = $0.168

Finally, we add the adjusted exchange rate to the original exchange rate to obtain the exchange rate in 2010:

Exchange Rate in 2010 = $0.42 + $0.168 = $0.588

Rounding the exchange rate to 2 decimal places, we get $0.59/riyal.

Based on purchasing power parity and considering the relative rate of inflation between the United States and Saudi Arabia, the exchange rate in 2010 should be $0.66/riyal. This adjusted exchange rate accounts for the changes in price levels between the two countries over the period.

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