how do i solve for x in -3x + 2 = 4x + 5

Answer:

\( \frac{15}{2} \)

Step-by-step explanation:

\( = \frac{ - 3}{ \frac{ - 2}{5} } \\ \\ = - 3 \times - \frac{5}{2} \\ \\ = \frac{15}{2} \: or \: 7 \frac{1}{2} \)

When measuring in inches, it's important to know how to read fractions accurately.

For example, if you see a mark halfway betweentwo-inchh marks, that would represent 1/2 of an inch. Here are the correct readings for each inch measurement:

1/16 inch = 1/16
1/8 inch = 1/8
3/16 inch = 3/16
1/4 inch = 1/4
5/16 inch = 5/16
3/8 inch = 3/8
7/16 inch = 7/16
1/2 inch = 1/2
9/16 inch = 9/16
5/8 inch = 5/8
11/16 inch = 11/16
3/4 inch = 3/4
13/16 inch = 13/16
7/8 inch = 7/8
15/16 inch = 15/16

Remember, it's important to reduce fractions to their lowest terms to avoid errors in measurement. And when writing down your measurements, make sure to use the correct format of 3-7/8 or 1-15/16, as incorrect formatting will be counted as wrong.

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Place the correct reading for each inch measurement in the blank space provided. Reduce fractions to their lowest terms.

For example, 10/16 = 5/8.

Format of answers to be 3-7/8 or 1-15/16.

Incorrect format will be counted WRONG!

Inch marks not required.

The velocity with which a ball reaches the ground when it is dropped

from a height of 64 m is 35.44m/sec

From the information given, we have that the equation representing the velocity of the ball is expressed as;

V = 4.43√h

Given that the parameters of the formula are;

Since the height of the ball from the ground is 64m, we have to substitute the value, we have;

V = 4.43√64

Find the square root of the value

V= 4.43(8)

Now, multiply both the values to determine the velocity, we get;

V = 35.44m/sec

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Answer:

Step-by-step explanation:

1*2x+y=4

-1*2x+y=-4

-2x=-y-4

2x=y+4

x=y+4/2

Answer is y = -1.01x + 38.19

The formula for calculating the regression line is:

y = a + bx

To find the regression line, we need to calculate two coefficients. They are a and b. where,

b = (NΣxy - ΣxΣy) / (NΣx2 - (Σx)2)and a = y - bx

Here, N = 14N = number of data sets

x = the independent variable

y = the dependent variable

Σ = summationx2 = square of x, i.e., x multiplied by itself

xy = x multiplied by y

Here, x and y have already been given. Thus, we need to calculate the remaining terms for determining the values of a and b.

The following table shows the steps for finding the values of a and b:-

x y x² xy5 26.25 25 131.256 22.3 36 133.87 22.75 49 176.175 22 25 1749 22.35 81 200.1510 19.8 100 19811 17.75 121 194.2512 16.8 144 201.613 17.75 169 299.75514 16.3 196 263.89515 15.95 225 359.2516 13.6 256 219.52Σx = 155 Σy = 255.95Σx² = 2870 Σxy = 4391.81

Now, we can calculate the value of b as:

b = (NΣxy - ΣxΣy) / (NΣx² - (Σx)²)b = (14 x 4391.81 - 155 x 255.95) / (14 x 2870 - 155²)b = -1.0146Next, we can calculate the value of a as:

a = y - bx

a = (Σy / N) - b (Σx / N)a = (255.95 / 14) - (-1.0146 x 155 / 14)a = 38.1921

Thus, the equation of the regression line is:

y = -1.01x + 38.19

The values are rounded off to two decimal places.

Answer:

y = -1.01x + 38.19

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Answer:

1.716*10^-3

Step-by-step explanation:

(4.4*10^-6)*(3.9*10^2)=0.001716

To convert 0.001716, we need to move the decimal places three places to the right to make sure the number is between 1 and 10. Moving three places to the right makes the exponent negative.

y = x is a positively sloped line, meaning that it points to the right. It also has a y-intercept of (0,0).

y = -1/2x + 3 is a negatively sloped line, meaning that it points to the left. It has a y-intercept of (0,-3).

The correct graph is Graph A.

Hope this helps! :)

Answer:

its 23.76

Step-by-step explanation:

I answered in the comments, but now I answered legit (there was a virus earlier lol)

Answer:

B

Step-by-step explanation:

Round 64.12 and 7.4 to whole numbers that divide nicely, and are CLOSE to the original numbers.

The answer is 16.7 %.

The necessary calculation is below:

observations  Systolic(x)  Diastolic(y)  x^2      y^2

        1          120               79    14400 6241

         2          130               74    16900 5476

         3          157               75    24649 5625

         4          96               50     9216 2500

         5          156                89    24336 7921

         6         124               87    15376 7569

         7          116               59    13456 3481

         8          137               66    18769 4356

         9          124               71    15376 5041

        10          118               81     13924 6561

       sum         1278      731   166402 54771

For Systolic (x)

mean= sum(x)/10 = 1278/10 = 127.8

stdev= s =sqrt( (sum(x^2 - 10*127.8^2)/9) = sqrt ( (166402 - 10*127.8^2)/9) =18.48

So coefficient of variation ( systolic)  is = (stdev/mean )*100 = (18.48/127.8)*100 = 14.5 %

For Diastolic (x)

mean= sum(y)/10 = 731/10 = 73.1

stdev= s =sqrt( \((sum(x^2 - 10*73.1^2)/9) = sqrt ( (54771 - 10*73.1^2)/9)\)= 12.18

so coefficient of variation ( systolic)  is = (stdev/mean )*100 = (12.18/73.1)*100 = 16.7 %

Here, systolic is less varied than the diastolic.

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Answer:

Yes

no

no

yes

Step-by-step explanation:

I hope it's serving

:v

Part A: An open circle on a number line represents an excluded value, indicating that the endpoint is not included in the solution set of the inequality. It is used when the inequality includes the symbols < (less than) or > (greater than), which denote strict inequality.

Part B: A closed circle on a number line represents an included value, indicating that the endpoint is part of the solution set of the inequality. It is used when the inequality includes the symbols ≤ (less than or equal to) or ≥ (greater than or equal to), which denote inclusive inequality.

Part C: The shading on the number line represents the range of values that satisfy the given inequality. It indicates which values make the inequality true. Typically, the shading is done to the right or left of the circle(s) depending on whether the inequality is greater than or less than.

Part A:

For example, if we have the inequality x > 2, we would represent it with an open circle at 2 on the number line. This means that 2 itself is not a valid solution, but any value greater than 2 is included.

Part B:

For example, if we have the inequality x ≥ -3, we would represent it with a closed circle at -3 on the number line. This means that -3 itself is a valid solution, as well as any value greater than or equal to -3.

Part C:

For example, if we have the inequality x > 2, we would shade the portion of the number line to the right of the open circle at 2. The shaded region represents all the values greater than 2 that satisfy the inequality. The shading visually illustrates the solution set and helps identify the range of valid values for the variable in the given inequality.

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The first five terms of the sequence are (a) 2, 3, 6, 18, 108

From the question, we have the following parameters that can be used in our computation:

a(1) = 2

a(2) = 3

a(n) = a(n - 2) * a(n - 1)

To calculate the first five terms of the sequence, we set n = 1 to 5

Using the above as a guide, we have the following:

a(1) = 2

a(2) = 3

a(3) = 2 * 3 = 6

a(4) = 3 * 6 = 18

a(5) = 18 * 6 = 108

Hence, the first five terms of the sequence are (a) 2, 3, 6, 18, 108

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Answer:

A. $21.59

Step-by-step explanation:

$151.13 ÷ 7 tons= $21.59 each per ton

Answer:

5x-(9x+14)=−4x−14

3(x+10)-2=3x+28

So, 3(x+10)-2 is greater than 5x-(9x+14)

Answer: 7

Step-by-step explanation:

We know that 7 times 7 is 49, so

\(\sqrt{49}\) = \(\sqrt{(7 )(7)}\) = 7

Answer:

y = 6x - 12

Step-by-step explanation:

In order to find the equation of the line in slope-intercept form, y = mx + b, we need to find the slope and the y-intercept of the given graph.

Given points (2, 0) and (0, -12)

Let (x1,y1) = (2, 0)

(x2, y2) = (0, -12)

We can use the following slope formula to find the slope of the line:

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

m = (-12 - 0)/(0 - 2)

m = -12/ -2

m = 6

Therefore, the slope (m) of the line is 6.

Next, we need to determine the y-intercept of the line. The y-intercept is the point on the graph where it crosses the y-axis, and has the coordinate (0, b). If you look at the graph, the line crosses at point (0, -12), which is also on of the points that we used earlier to solve for the slope. The y-coordinate of (0, -12) is the y-intercept (b). Thus, the y-intecept (b) = -12.  

Therefore, the linear equation of the given graph is:

y = 6x - 12

Take 2 points

Slope:-

\(\ \ \sf\longmapsto m=\dfrac{12+12}{4}=\dfrac{24}{4}=6\)

Equation of line in point slope form

\(\ \ \sf\longmapsto y-y_1=m(x-x_1)\)

\(\ \ \sf\longmapsto y+12=6(x)\)

\(\ \ \sf\longmapsto 6x-y-12=0\)

\(\ \ \sf\longmapsto y=6x-12\)

Answer:

72 campers participated

Step-by-step explanation:

In order to multiply 40 campers by 180%, you need to first turn 180% into a decimal. 180% in decimal is 1.8.

Now, you just need to multiply the 40 campers by 1.8:

40 x 1.8

= 72 campers

the solution to the equation by completing the square is: x = (9/2) ± √(-7k - 47/4).

To solve the given equation by completing the square, we need to rewrite the equation in the form of \((x + a)^2 = b\) , where a and b are constants. This can be done by following these steps:

1. Move all the terms to one side of the equation:

\(5x^2 + 7k + 76 - 9x - 4x^2 = 0\)

2. Combine like terms:

\(x^2 - 9x + 7k + 76 = 0\)

3. Rewrite the equation by completing the square for the x terms. To do this, take half of the coefficient of x (-9/2), square it, and add it to both sides of the equation:

\(x^2 - 9x + (-(9/2))^2 + 7k + 76 - (-(9/2))^2 = (-(9/2))^2\)

4. Simplify:

\((x - (9/2))^2 + 7k + 76 - (81/4) = 81/4\)

5. Combine constants:

\((x - (9/2))^2 + 7k + 47/4 = 0\)

6. Solve for x by taking the square root of both sides:

x - (9/2) = ±√(-7k - 47/4)

7. Add (9/2) to both sides:

x = (9/2) ± √(-7k - 47/4)

Therefore, the solution to the equation by completing the square is: x = (9/2) ± √(-7k - 47/4).

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Answer:

1/28 kilo

Step-by-step explanation:

sb help me on my recent please

Answer:

y= t +5

Step-by-step explanation:

Answer:

16/5

Step-by-step explanation:

Answer:

16/5

Step-by-step explanation:

When you move the numerator and denominator. (aka. flip)

The octagon's remaining equal angles are each 121.5 degrees.

The sum of the interior angles of any polygon is given by the formula:

Sum of interior angles = (n - 2) * 180 °

where n is the number of sides of the polygon.

In the case of an octagon, which has 8 sides, the sum of the interior angles is:

Sum of interior angles = (8 - 2) * 180°

= 6 * 180°

= 1080°

Now, we subtract the known angles from the sum:

1080 ° - (120 ° + 110° + 130 ° + 144° + 90°) = 486°

We are left with 486 °, which is the sum of the equal angles in the octagon. Since there are four equal angles remaining, we divide 486 ° by 4:

486° / 4 = 121.5°

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The size of each of the equal angles is 162 degrees. All the remaining three angles are equal to each other and have a value of 162 degrees.

We know that the sum of all interior angles in a polygon = (n-2)180

where n is the number of sides of that polygon.

In this case, we have an octagon,

The sum of all interior angles in an octagon = (8-2) 180

n = 8 ( an octagon has 8 sides)

The sum of all interior angles in an octagon, A = 1080 degrees.

Sum of given angles = 120 + 110 +130 +144 + 90 = 594

We have 3 more angles in the octagon which are all equal, let's say x

A + x + x + x = 1080

594 + 3x = 1080

3x = 486x

x = 162 degrees

Hence, the remaining equal angles are 162 degrees.

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The number of horizontal asymptotes that a function can have depends on its behavior as x approaches positive or negative infinity.

a) If the function approaches a specific value or constant as x approaches positive or negative infinity, it can have 0 horizontal asymptotes.

b) If the function approaches the same value or constant as x approaches positive or negative infinity, it can have 1 horizontal asymptote.

c) If the function approaches different values or constants as x approaches positive or negative infinity, it can have 2 horizontal asymptotes.

d) It is not possible for a function to have exactly 3 horizontal asymptotes. Asymptotes come in pairs, so the number of horizontal asymptotes can be 0, 1, 2, or 4.

e) It is not possible for a function to have exactly 4 horizontal asymptotes. Asymptotes come in pairs, so the number of horizontal asymptotes can be 0, 1, 2, or 3.

the correct options are:

a) 0

b) 1

c) 2

d) 3

e) 4

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Answer:

\(\large \sf \boxed{ \sf \dfrac{DE}{AD} }\)

Explanation:

\(\sf tan(x) = \dfrac{opposite}{adjacent}\)

Here given angle: 19°

Opposite to this angle: DE

Adjacent to this angle: AD

Hypotenuse to this angle: EA

So ratio of sides that defines tan(19) = opposite/adjacent = DE/AD

Answer:

Quality Plumbing charges more per hour.

In the graph, you can see that it would cost $150 for their work plus $100 per hour based on the slope of the line.

A Plus Plumbing charges $140 for their work plus $60 per hour.

The distance between the hyperplane (5 + 3x1 + 4x2 = 0) and the origin is 1.

To find the distance between a hyperplane and the origin, we can use the formula for the distance between a point and a plane.

In this case, the hyperplane is defined by the equation 5 + 3x1 + 4x2 = 0.

To find the distance between the hyperplane and the origin, we can substitute the coordinates of the origin (0, 0) into the equation of the hyperplane and calculate the absolute value of the result:

Distance = |5 + 3(0) + 4(0)| / √(3^2 + 4^2)

= |5| / √(9 + 16)

= 5 / √25

= 5/5

= 1

Therefore, the distance between the hyperplane (5 + 3x1 + 4x2 = 0) and the origin is 1.

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The person is approximately 1233.35 feet from the monument

Let's call the distance from the person to the monument "x". We can use basic trigonometry to solve this problem.

From the person's point of view, the monument appears as a right triangle with the monument's height (400 feet) as the opposite side and "x" as the adjacent side. The angle of elevation (from the person to the top of the monument) is 18 degrees, which is the angle opposite the opposite side (the monument's height). So we can use the tangent function to find "x":

tan(18) = opposite / adjacent

tan(18) = 400 / x

x = 400 / tan(18)

x ≈ 1233.35 feet

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