Which of the following is the equation of a line parallel to the line y = 4x+1,passing through the point (5,1)?

490

472 <490<500

it fits the criteria

Answer:

subtract 2x from 3x thats x so 50=x

Step-by-step explanation:

Answer:x=50

Step-by-step explanation:bring 3x over on one side with 2x and bring 50 over on the other side by itself.

The equation becomes 2x-3x=-50

2x-3x is -x

so the equation is -x=-50

there are two negatives in the equation so you make the equation positive because a negative and a negative equals a positive

Therefore the answer is x=50

Step-by-step explanation:

Proof using Discrimant:

\(3 { x}^{2} - 2x + \frac{1}{3} = 0\)

The discrimant is

\( \sqrt{ {b}^{2} - 4ac} \)

B is -2, A is 3 and C is 1/3 so we get

\( \sqrt{ {2}^{2} - 4( 3)( \frac{1}{3}) } \)

\( \sqrt{4 - 4} \)

\( \sqrt{0 } = 0\)

Since the discrimant equal zero, there is one real distinct zero.

This zero will also have a multiplicity of 2, so the zero is technically equal to each other.

To get better at solving, let solve for zero.

\(3 {x}^{2} - 2x + \frac{1}{3} = 0\)

\(3( {x}^{2} - \frac{2}{3} x + \frac{1}{9} )\)

\(3( x - \frac{1}{3} )(x - \frac{1}{3} )\)

\(3(x - \frac{1}{3} ) {}^{2} = 0\)

\(x = \frac{1}{3} \)

That zero is 1/3,1/3

Answer:

13 days

Step-by-step explanation:

Amount of book left = 100% - 35% = 65%

If 35% requires 7 days,

65% requires x days.

Using the 'cross the heart' or 'cross multiplication' method:

35x = 7 * 65

x = (7 * 65)/35

= 455/35

= 13

Hence, it would take 13 more days to complete the book.

Hope this helps and be sure to have a great time ahead at Brainly! :D

Completing the square is a technique used to rewrite a quadratic expression in the form of a perfect square trinomial. To solve this equation by the method of completing the square, we need to follow the steps mentioned below:

Step 1: Write the given equation in standard form. x² + 8x - 9 = 0

Step 2: Take half of the coefficient of x, square it and then add and subtract the result from the left-hand side of the equation.

x² + 8x + 16 - 16 - 9 = 0

Step 3: Rearrange the terms.

x² + 8x + 16 - 25 = 0

Step 4: Factorize the first three terms.

(x + 4)² - 25 = 0

Step 5: Isolate the square term on one side.

(x + 4)² = 25

Step 6: Take square root on both sides.

x + 4 = ±5

Step 7: Solve for x.x = -4 ± 5x = -4 + 5 and x = -4 - 5

Thus, the solution of the given equation x² - 9 = -8x using the method of completing the square is x = -9 or x = 1.

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The mean is 18.6.

Given the following information; z = 2.25, x = 22.2, and σ = 1.6, to find the mean, we have to apply the formula for z-score. z = (x - μ)/σWhere; z-score is represented by z, the value of X is represented by x, the mean is represented by μ and the standard deviation is represented by σSubstituting the values into the equation above;2.25 = (22.2 - μ)/1.6Multiplying both sides of the equation by 1.6, we have;1.6(2.25) = (22.2 - μ)3.6 = 22.2 - μ Subtracting 22.2 from both sides of the equation;3.6 - 22.2 = - μ-18.6 = - μ Multiplying both sides of the equation by -1, we have;μ = 18.6

Simply said, a z-score, also known as a standard score, informs you of how far a data point is from the mean. Technically speaking, however, it's a measurement of how many standard deviations a raw score is from or above the population mean.

You can plot a z-score on a normal distribution curve. Z-scores range from -3 standard deviations, which would fall to the extreme left of the normal distribution curve, to +3 standard deviations, which would fall to the far right. You must be aware of the mean and population standard deviation in order to use a z-score.

The z-score can show you how that person's weight compares to the mean weight of the general population.

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Answer:

y=3x+1

Step-by-step explanation:

Answer:

y = 1*x +4

y = x+4

Step-by-step explanation:

Answer:

It would be D.

This is a box of 100 squares, and you can see that there are 10 shaded per row. You can see that there are 8 rows completely shaded, plus 2 of them shaded in another row.

8 x 10 = 80

80 + 2 = 82

Now, to turn it into a decimal, turn the number 82 into a decimal, which is 0.82

Answer:

380cm

Step-by-step explanation:

Answer:

]]][

Step-by-step explanation:

Answer:

Step-by-step explanation:

135°

Quite commonly, azimuths or compass bearings are stated in a system in which either north or south can be the zero, and the angle may be measured clockwise or anticlockwise from the zero.

Answer:

0.3636363636

Step-by-step explanation:

Therefore, the margin of error for the 90% confidence interval is 1.32. This means that you can be 90% confident that the true population mean falls within a range of 1.32 around the sample mean.

To find the margin of error for a 90% confidence interval, you can use the following formula:

margin of error = z * standard deviation / sqrt(n)

Where z is the z-score for the desired level of confidence (in this case, 90%), standard deviation is the standard deviation of the sample, and n is the sample size (in this case, 120).

Plugging in the values, you get:

margin of error = 1.645 * 9.1 / sqrt(120)

= 1.645 * 9.1 / 11.1

= 14.72 / 11.1

= 1.32

The middle of the set of values is represented by the mean. This value is the mean of all values in the data collection. In statistics, the middle quantity, referred to as the mean, is known as the average.

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The ladder can reach 78.40 feet.

According to the Pythagoras theorem, the square of the hypotenuse of a triangle, which has a straight angle of 90 degrees, equals the sum of the squares of the other two sides.

The formula for the Pythagoras theorem is written as c² = a² + b², where c is the hypotenuse of the right triangle and a and b are its other two legs. As a result, the Pythagoras equation can be used to any triangle that has one angle that is exactly 90 degrees to create a Pythagoras triangle.

Given:

Hypotenuse = 82 feet

Base = 24 feet

Using Pythagoras theorem

H²= P² + B²

82² = P²+ 24²

6724 = P²+ 576

P² = 6148

P= 78. 40 feet

Hence, the ladder can reach 78.40 feet.

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The solution is: As x approaches negative infinity, f(x) approaches

Positive; Negative.

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable.

here, we have,

According to the question, the following information is given

G(x) = |x - 2| - 3

Based on the above information

As it can be seen that there is a modulus that means if there is any negative value that it can become a positive value.

Therefore the answer is positive and negative.

hence, The solution is: As x approaches negative infinity, f(x) approaches

Positive; Negative.

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There are 2520 ways to divide the 10 distinct books among the three students with the given distribution.

To find the number of ways to divide 10 distinct books among three students with the given distribution (5 books for the first student, 3 books for the second, and 2 books for the third), you can use the combination formula:

C(n, r) = n! / (r! * (n - r)!)

Where "C" represents the number of combinations, "n" is the total number of items, and "r" is the number of items to choose. We'll apply this formula to each student's distribution, and then multiply the results to find the total number of ways.

1. First student (5 books from 10):
C(10, 5) = 10! / (5! * (10 - 5)!) = 252

2. Second student (3 books from the remaining 5):
C(5, 3) = 5! / (3! * (5 - 3)!) = 10

3. Third student (2 books from the remaining 2):
C(2, 2) = 2! / (2! * (2 - 2)!) = 1

Now multiply the results for each student:
Total number of ways = 252 * 10 * 1 = 2520

So, there are 2520 ways to divide the 10 distinct books among the three students with the given distribution.

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Answer:

 its a geometric sequence where each term is 3 times the previous term.

Step-by-step explanation:

{2,6,18,54,162,486,1458...}

Answer:

Quadrant III (Answer C)

Step-by-step explanation:

(4, 7) is in Quadrant I.  Rotating it 180 degrees around the origin places it in Quadrant III (Answer C).

Answer:

Quadrant 3 (Answer C)

Answer:

8.4 Gallons

Step-by-step explanation:

15.54 divided by 1.85 is 8.4

Answer The dimensions of the room in inches on the scale drawing is inches by inches OR 3.25 inches by 3.75 inches

Step-by-step explanation:

From the question, the dimension of the room is 13feet by 15feet.

Now, if the room is drawn to 1/4 inch represents 1 foot scale, i.e 0.25 inch represents 1 foot, then the dimension of the room in inches on the scale drawing can be determined as follows

Since 1 foot = 0.25 inch  

∴ 13 feet on the scale drawing will be 13 × 0.25 = 3.25 or 3 1/4 inches

and 15 feet on the scale drawing will be 15 × 0.25 = 3.75 or 3 3/4 inches

Hence, the dimensions of the room in inches on the scale drawing is

inches by inches OR 3.25 inches by 3.75 inches.

Answer:

R = 19.17 ohms

Step-by-step explanation:

Given that,

The voltage of a subwoofer, V = 115 V

The current through its coil, I = 6 A

We need to find the resistance of the subwoofer. Let it s R. Using Ohm's law to find it such that,

V = IR

So,

\(R=\dfrac{V}{I}\\\\R=\dfrac{115}{6}\\\\R=19.17\ \Omega\)

So, the resistance of the subwoofer is 19.17 ohms.

With 2x-4 given to you, you can substitute x (input) and solve with that input to get y (output).

Ex. 2(0)-4=-4, (0, -4)

     2(1)-4=-2, (1, -2)

     2(2)-4=0, (2, 0)

Answer:

n = 10

Step-by-step explanation:

2x = y

2(n)=20

n = 20/2

n = 10

Answer:

16,500 miles

Step-by-step explanation:

In 12 minutes, the satellite travels 3,300 miles around Earth. To find how far the satellite travels around Earth in 1 hour, we can use unit conversion:

1 hour = 60 minutes

So, the number of 12-minute intervals in 1 hour is:

1 hour / 12 minutes = 5 intervals

Therefore, in 1 hour, the satellite travels:

3,300 miles/interval × 5 intervals = 16,500 miles

So the satellite travels around Earth at a distance of 16,500 miles in 1 hour.

Answer:

u=8

3u+5u=64

8u=64

u=8

finish

Hey there!

FIRST: you have to SIMPLIFY BOTH SIDES of your given EQUATION (there’s approximately 3 ways but we will use 2)

• 3u = 64 – 5u

• 3u = –5u + 64

SECOND: ADD by 5u on BOTH SIDES

• 3u + 5u = –5u + 64 + 5u

• CANCEL: –5u + 5u because that gives you 0

• KEEP: 3u + 5u because it can help us solve for you u-value

“3u + 5u = 8u”

New equation: 8u = 64

THIRD: DIVIDE by 8 on BOTH SIDES

• 8u/8 = 64/8

• CANCEL out: 8u/8 because that gives you 1

• KEEP: 64/8 because that gives you your u-value

“64/8 = u”

“64/8 = 8”

• Therefore your ANSWER: u = 8 ☑️

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Two corresponding sides of the triangles are congruent by congruence postulate, meaning DE ≅ AB and EF ≅ BC. The included angle between the congruent sides is also congruent, meaning ∠DEF ≅ ∠ABC.

To prove that ΔDEF and ΔABC are congruent by SAS (Side-Angle-Side), we need to have the following additional information:
1. The length of two sides of each triangle must be equal.
2. The included angle between these two sides must be equal.
3. The length of the third side of each triangle must be equal.
If we have this information, we can use the SAS congruence postulate to prove that ΔDEF and ΔABC are congruent.

To prove that ΔDEF and ΔABC are congruent by the Side-Angle-Side (SAS) Congruence Postulate, you'll need the following additional information:
Once you have this information, you can apply the SAS Congruence Postulate to conclude that ΔDEF and ΔABC are congruent.

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Answer:

Step-by-step explanation:

So for this one you need to find how much text messeages you make in a day and subtract it from 19.

The second one confused me though.

9/2

let the number be x

4x-4=14

4x=18

x=18/4=9/2

Answer:

Answer: x^2 +14x+49

Step-by-step explanation:

Answer:

x° = 50° 2x°= 100°

Step-by-step explanation:

sum of all angle of triangle = 180°  therefore

x° + 2x° + 30° =180°  

 3x° = 180° - 30°

3x = 150°

x = 50°

2x = 100