Please help!!!
Solve the radical equation. Be sure to check all solutions to eliminate extraneous solutions.
[tex]\sqrt(3x-1)-2=0[/tex]

The number of students in all at the school is 7,954 students.

In order to determine the number of students in all at the school, you would add the number of students that rode the bus with the number of students that came to school another way.

Addition is the mathematical operation that is used to determine the sum of two or more numbers. The sign used to denote addition is +. Other mathematical operations are subtraction, division and multiplication.

Number of students in school = number of students that rode the bus + number of students that came another way

4,585 + 3,369 = 7,954 students

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Answer:

16x² + 8x + 1

Step-by-step explanation:

(4x + 1)(4x + 1)

each term in the second factor is multiplied by each term in the first factor, that is

4x(4x + 1) + 1(4x + 1) ← distribute both parenthesis

= 16x² + 4x + 4x + 1 ← collect like terms

= 16x² + 8x + 1

Answer:

16 x 2 + 8x + 1

Step-by-step explanation:

Using the foil method we expanded the polynomial.

Answer:

-2.04

Step-by-step explanation:

it'll be

-1.34 - 0.7 = y

- 2.04 = y

The standard deviation is 2.83 if the sum of squares for a sample containing 51 items equals 400 option (D) is correct.

It is defined as the measure of data disbursement, It gives an idea about how much is the data spread out.

[tex]\rm SD = \sqrt{\dfrac{ \sum (x_i-X)^2}{n-1}[/tex]

SD is the standard deviation

xi is each value from the data set

X is the mean of the data set

n is the number of observations in the data set.

∑(x(i) - X)² = 400

n = 51

SD = √(400/51-1)

SD = √8

SD = 2.828 ≈ 2.83

Thus, the standard deviation is 2.83 if the sum of squares for a sample containing 51 items equals 400 option (D) is correct.

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Answer:

63

Step-by-step explanation:

Value dropped = 2500 - 2248 = 252

divide 252 across 4 months

252/4 = 63

The average monthly change in the value of the investment is $63.

Given that, Evan invested $2500 in the stock market. Four months later, the value of the investment dropped to $2248.

Investment definition is an asset acquired or invested in to build wealth and save money from the hard earned income or appreciation. Investment meaning is primarily to obtain an additional source of income or gain profit from the investment over a specific period of time.

Now, change in investment is

2500-2248 = 252

The average monthly change

= 252/4

= 63

Hence, the average monthly change in the value of the investment is $63.

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Answer:

9600 divided by 30 is 320

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In a recent poll, 64% of the respondents supported stricter gun laws is statistic.

What is an example of a parameter?

What is an example of a population parameter?

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Answer:

-1 < x < 6

Step-by-step explanation:

|2x - 5| < 7

-7 < 2x - 5 < 7

-2 < 2x < 12

-1 < x < 6

Answer:

1. [tex](x-6)^{2}[/tex]

2. [tex](x +11)^2[/tex]

3. [tex](x-4y)^{2}[/tex]

4. [tex](5x - y)^2[/tex]

Step-by-step explanation:

1. [tex]x^{2} -12x +36[/tex] ---> [tex](x-6)^{2}[/tex]

2. [tex]x^{2} +22x + 121[/tex] ---> [tex](x +11)^2[/tex]

3. [tex]x^{2} -8xy+16y^{2}[/tex] ---> [tex](x-4y)^{2}[/tex]

4. [tex]25x^2-10xy + y^2[/tex] ---> [tex](5x - y)^2[/tex]

The mistake done by Noah in his construction is that; length of the line segment AB and AC should be equal.

The steps in bisecting an angle say PQR is as follows;

Start with angle PQR that we will bisect.

1.  Place the compasses' point on the angle's vertex Q.

2.  Adjust the compasses to a medium wide setting. The exact width is not important.

3.  Without changing the compasses' width, draw an arc across each leg of the angle.

4.  The compasses' width can be changed here if desired. Recommended: leave it the same.

5.  Place the compasses on the point where one arc crosses a leg and draw an arc in the interior of the angle.

6.  Without changing the compasses setting repeat for the other leg so that the two arcs cross.

7.  Using a straightedge or ruler, draw a line from the vertex to the point where the arcs cross.

8. This is the bisector of the angle ∠PQR.

Therefore, the mistake done by Noah is that length of the line segment AB and AC should be equal in order to bisect it.

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Answer:

1.3

2.5

3.7

4.95.0

5.38

6.67

Step-by-step explanation:

Answer:

Step-by-step explanation:

34

45

11

9

78

56

For a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53 m

For given question,

A particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s.

We can observe that, for t1 = 1.82 s and t2 = 3.81 s

object is moving from right to left along the x axis.

We know that, the displacement of a particle moving in a straight line is the change in its position.

so, d = 4.97 - 16.5

d = -11.53

The negative sign indicates that the object is moving from right to left along the x axis  for t1 = 1.82 s and t2 = 3.81 s

Therefore, for a particle moving uniformly along the x axis is located at 16.5 m at 1.82 s and at 4.97 m at 3.81 s, the displacement is -11.53m.

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Answer:

A: sf 2 or 1/2

Step-by-step explanation:

Answer:

Part A: The scale factor of the dilation that transforms Triangle PQR to Triangle P'Q'R' is 1/4

Part B:

P''(-1, 0)

Q''(0, -1)

R''(2, -1)

Part C:

The two Triangles PQR and P''Q''R'' are not congruent.

Step-by-step explanation:

R, S, and T are collinear . Then 13 is  the length of RS.

What do collinear points mean?

The question to know

RS + ST = RT

RS = w + 1 ,  ST = w - 1

RT = 18

2w + 1 + w - 1  = 18

3w = 18

w = 18/3

w = 6

RS = 2 * 6 + 1 = 13

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After changing the form the equation becomes 5x (x + 2) = 4.

We cannot solve the equation as the value of x is not given but we can change its form.

Given equation is 5x² + 10x - 4.

Then,

Therefore, after changing the form the equation becomes 5x (x + 2) = 4.

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The correct question is given below:
solve the equation. (find only the real solutions. enter your answers as a comma-separated list.)  

5x² + 10x - 4

Answer:

(a) 1/2

(b) $1,080,000

(c) 72°

Step-by-step explanation:

We have to find the ratio in which the money is being distributed

To do this first add up the individual values in the ratio 5:3:2 which represents the ratio C:D:E for apportioning savings

5 + 3 + 2 = 10

Chris's share = 5/10 = 1/2

Danny's share = 3/10

Evelyn's share = 2/10 = 1/5

Answers

(a) Fraction of Danny's share = 1/2

(b) If Danny is to receive $540,000 and his share is 1/2 of total savings then the total savings = 2 x 540,000 = $1,080,000

(c) The ratio of the angles in a pie chart will be the same as the ratio of the division. A pie chart shows the relative shares as part of a circle. Since a circle contains 360° , the angle of the sector that represents Evelyn's share will be 1/5 x 360 = 72°

Answer:

65

Step-by-step explanation:

- 2 digits ✅

- Has 13 as a factor ✅

- Sum of digits is 11 ✅

Answer:

one solution

Step-by-step explanation:

-7 works

7 does not

Answer:

I graphed the two equations for you. The point one which is selected is the solution to the system of equations.

Step-by-step explanation:

Please see attachment below.

Hope this helps!

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Since they're in arithmetic progression, there is a constant difference between consecutive terms of

[tex](7x - 7) - (x - 1) = 6x - 6[/tex]

Recursively, the sequence is given by

[tex]\begin{cases} a_1 = x-1 \\ a_n = a_{n-1} + 6x - 6 & \text{for }n\ge2\end{cases}[/tex]

By substitution, we have

[tex]a_2 = a_1 + 6x-6[/tex]

[tex]a_3 = a_2 + 6x-6 = a_1 + 2(6x-6)[/tex]

[tex]a_4 = a_3 + 6x-6 = a_1 + 3(6x-6)[/tex]

and so on, up to the 14th term

[tex]a_{14} = a_1 + 13(6x-6)[/tex]

[tex]a_{14} = (x-1) + 78 (x - 1)[/tex]

[tex]a_{17} = 79 (x - 1) = \boxed{79x-79}[/tex]

The equation of the graph is (x-3)(x+1), the y-intercept of y=[tex]x^{2} -5x+4[/tex] is "4" and the factors of  y=[tex]x^{2} -5x+4[/tex] are (x-4) ad (x-1)

Given that a graph touch x-axis at 2 points i.e. 2 roots are there for given graph.The graph touches the x-axis at (3,0) and (-1,0) it implies x=3 and x=-1 are the solutions the equation,(x-3) and (x+1) are factors of equation

Therefore,the equation of graph is  (x-3)(x+1).

Given the equation y=[tex]x^{2} -5x+4[/tex]

The y-intercept is defined as the graph passing a fixed point at x=0 line

i.e.(0,c) pass through it . c is the y-intercept

c=0-0+4

c=4

Therefore,The y-intercept of  the equation y=[tex]x^{2} -5x+4[/tex] is 4

Factorising  y=[tex]x^{2} -5x+4[/tex]

⇒  y=[tex]x^{2} -5x+4[/tex]

⇒y=[tex]x^{2} -x-4x+4[/tex]

⇒y=x(x-1)-4(x-1)

⇒y=(x-4)(x-1)

Therefore, the factors of  y=[tex]x^{2} -5x+4[/tex] are (x-4) and(x-1)

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The number of students who study Indonesian only = 10

Total pupils= 110

Study French = 88

Study Indonesian = 65

Study French and German = 40

Study German and Indonesian = 38

Study French and Indonesian = 26

Study German only = 19

Students who study German only = G - F∩G - G∩I + F∩G∩I

                                                     19= 88-40-38 + F∩G∩I

                                                   F∩G∩I = 9

Students who study all three languages = 9

So the students who study only Indonesian = I - F∩I - G∩I + F∩G∩I

                                                                        = 65- 38-26+ 9

                                                                        = 10

Therefore the number of students studying Indonesian only = 10.

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The complete question is:

In a certain school, there are 180 pupils in Year 7. One hundred and

ten pupils study French, 88 study German and 65 study Indonesian.

Forty pupils study both French and German, 38 study German and

Indonesian, and 26 study both French and Indonesian, while 19 study

German only. Find the number of pupils who study Indonesian only.

Answer:

A = .05 and B = .08 so A is the better buy

Step-by-step explanation:

In each case, divide total cost by number of units to get unit cost.

Answer:

d^2/c^3

Step-by-step explanation:

write problem with negative exponent rule

(1/c^6 d^4)^1/2

combine 1/c^6 & d^4

(d^4/c^6)^1/2

use exponent rules to finish simplifying

d^2/c^3

Answer:

yes

Step-by-step explanation:

28/4 = 7 teams

1 is left without a team