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Answer:

[tex]x=3\pm\sqrt{23}[/tex]

Step-by-step explanation:

Complete the Square

[tex]3x^2-18x+5=47\\\\3x^2-18x-42=0\\\\x^2-6x-14=0\\\\x^2-6x-14+23=0+23\\\\x^2-6x+9=23\\\\(x-3)^2=23\\\\x-3=\pm\sqrt{23}\\\\x=3\pm\sqrt{23}[/tex]

Answer:

Step-by-step explanation:

The simple interest formula is ...

  I = Prt . . . . . r is the interest rate, t is the number of years

Solving for P, we have ...

  P = I/(rt)

6 months is 1/2 year, so the principal is ...

  P = $4.38/(0.035×1/2) = $250.2857...

Rounded to the nearest dollar, the principal invested is $250.

__

Using the same approach, for 18 months, t = 18/12 = 3/2 = 1.5.

  P = $20.70/(0.023×1.5) = $600

The principal in Account B is $600.

__

First Month's Interest

Using the interest formula, the first month's interest in each account is ...

  A: I = 250×0.035×1/12 = $0.73

  B: I = 600×0.023×1/12 = $1.15

Account B earns more interest in the first month.

Answer :

92

92 bc you’d get 92.16 but round down

well, the original price was "x", which is of course the 100%, the new price is 10% less than that, or namely 90% of that original and we know is 200 bucks.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 200&90 \end{array}\implies \cfrac{x}{200}=\cfrac{100}{90}\implies \cfrac{x}{200}=\cfrac{10}{9} \\\\\\ 9x=2000\implies x=\cfrac{2000}{9}\implies x=222.\overline{2}[/tex]

Answer:

25m

Step-by-step explanation:

A square is a parallelogram having all sides equal. Hence, if Casey walked diagonally, she should have gone 25m as the rules of square states.

please mark brainliest

Answer:

A) x = 0, y = 14

Step-by-step explanation:

Line A:  y = 6x + 14

Therefore, the slope of line A = 6

If Line B is perpendicular to Line A, then the product of their slopes is -1.

⇒ slope of Line B = [tex]-\dfrac16[/tex]

Given Line B passes through point (2, 13 2/3).

Use slope-point form of linear equation to find equation for Line B:

[tex]\implies y-y_1=m(x-x_1)[/tex]

[tex]\implies y-13 \frac23=-\dfrac16(x-2)[/tex]

[tex]\implies y=-\dfrac16x+14[/tex]

Solution of system is the point where the lines intersect.

From inspection of the equations of the lines, the point of intersection is (0, 14)

Answer:

check all below

Step-by-step explanation:

#1

1/6)^3

1/26 so answer 1 on number one

#2 what the heck is this 65+75= 140 not 120

65/120 = 54.16666% * 12600 = 6825 so 3

or 65/140 = 46.428% * 12600 = 5850

#3 number 4 makes the most since sense you get the WHOLE POPULATION

#4 1/5*1/2 or 1/10 = .10 * 100% = 10% or 3

#5

6+2+8+4 = 20

2 red marbles

2/20 = 1/10 = .10 * 100% = 10% or 2

Answer:

x (constant) = 20 ((month)) y (variable) = 5 ((gig of data))

Step-by-step explanation:

20x+5y=55 (7 gigs)

Answer: It is B

Rae will ask 75 randomb students in her school

Step-by-step explanation:

honestly I just guessed, and got it right

Answer:

(4,2)

Step-by-step explanation:

x,y > -x, y

Answer:

$17

Step-by-step explanation:

$93 minus $76 equals $17 which is how much sonny needs to borrow.

Answer: he will need to borrow $17

to make his purchase that cost $93

Step-by-step explanation: $93 - $76 = $17

Answer:

16

Step-by-step explanation:

She will pay for a journey of 20 kilometers.

We have given that,

The fixed price of a taxi journey costs $11.50 plus $5 per traveled kilometer.

We have to determine How much will you pay for a journey of 20 kilometers.

We have $11.5 fixed.

We have to determine for 20km we have to pay.

20k * $5 = $100

$100 + 11.5 = 111.5

Therefore she will pay for a journey of 20 kilometers.

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Answer:

y = 14 [tex](2)^{x}[/tex]

Step-by-step explanation:

Find a and b by substituting the points into the equation

using (0, 14 ) , then

14 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then

14 = a × 1 ⇒ a = 14

y = 14 [tex]b^{x}[/tex]

using (6, 896 )

896 = 14 [tex]b^{6}[/tex] ( divide both sides by 14 )

64 = [tex]b^{6}[/tex] ( take the sixth root of both sides )

b = [tex]\sqrt[6]{64}[/tex] = 2

Then

y = 14 [tex](2)^{x}[/tex] ← is the exponential function

Graphs can represent a function, table and ordered pairs

The year that economists might consider a trough is 1982

From the graph, we have the following parameters:

In this case, the year that can be considered a trough is the year when the rate of unemployment is at highest (i.e. 11% in 1982)

Hence, the year that economists might consider a trough is 1982

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Answer:

1982

Step-by-step explanation:

edge

Answer:

y=19 z=19

Step-by-step explanation:

45 45 90 triangles are this: sides=hyp/sqrt(2)

mathXL lol

Answer: parallel is 1 and perpendicular is -1

Step-by-step explanation:

parallel lines have the same slope and perpendicular have the opposite and negative of the slope.

Answer:

8

Step-by-step explanation:

so basically we do

2³ = 8

2x2=4 4x2=8

Answer:

  I

Step-by-step explanation:

Reflecting the point across both axes changes the signs of both coordinates. The reflected point will be (2, 8). Both coordinates are positive for points in Quadrant I.

P= 9

Step-by-step explanation:

y = (10 - 2x) / 4

y = (12 - x) / 9

Find Boundary Points:

(0,0)

(3,1)

(0,4/3)

(5,0)

Plug them into equation (DO NOT NEED (0,0) DO NOT USE):

P = 3 + 6(1) = 9

P = 0 + 6(4/3) = 8

P = 5 + 6(0) = 5

MAX VALUE: P = 9

Your Answer Should Be.... B

Answer:

B

Step-by-step explanation:

-8.56 = 64.2 divided  7.5

Answer:

5pt=2cups

1qt.=2pt

Step-by-step explanation:

I hope that's right

Answer:

let the length be x and breadth be y and h be the height of the triangle

therefore ,

breadth=base

[tex]x \times y + \frac{1}{2} x \times h[/tex]

ad the values to find the answer

[tex] {864in}^{2} [/tex]

Answer:

11/10 is greater than 1

Step-by-step explanation:

For reference, 10/10 = 1, 8/8 = 1. So when looking at these:

11/10 is 1 and 1/10

7/8 is less than 1

Answer:

50x + 200

Step-by-step explanation:

50 dollars each month (for x months) is 50x, and the initial cost is 200 (flat fee) which means that the expression is 50x+200

Answer:

50x+200

Step-by-step explanation:

Our constant term is the 200, because it's the upfront charge. Our coefficient is going to be 50, because 50 dollars are being charged each month.

Answer:

  A) see attached for a graph. Range: (-∞, 7]

  B) asymptotes: x = 1, y = -2, y = -1

  C) (x → -∞, y → -2), (x → ∞, y → -1)

Step-by-step explanation:

A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

  [tex]\dfrac{-x^2+x+2}{x^2-3x+2}=-\dfrac{(x-2)(x+1)}{(x-2)(x-1)}=-\dfrac{x+1}{x-1}\quad x\ne 2[/tex]

This has a vertical asymptote at x=1, and a hole at x=2.

The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.

The graph is attached.

The range of the function is (-∞, 7].

__

As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.

The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.

__

The end behavior is defined by the horizontal asymptotes:

  for x → -∞, y → -2

  for x → ∞, y → -1

Answer:

Step-by-step explanation:

hope this helps!

There are 5,040 different ways that the first seven students in line can be ordered.

An arrangement is a permutation of a set of objects in mathematics where the order of the things is important. An arrangement is specifically an orderly succession of unique elements drawn from a set.

Consider the set "A, B, C," for instance. This set can be arranged in six different ways: ABC, ACB, BAC, BCA, CAB, and CBA. The three components of the set are stated in a precise order in each of these configurations.

The number of ways that 7 students can be arranged in a line is 7! (7 factorial) which is equal to:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040

Therefore, there are 5,040 different ways that the first seven students in line can be ordered.

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The amount of money Jamar will make in his 18th year working at this job is = $107,500

The amount of money Jamar made in his first year= $48,000

The salary rise per year = $3,500

The amount of money he will make for the extra 17 years is = 17 × $3,500

= $59,500

Therefore the amount he will receive as his salary in the 18th year working at this job = $48,000 + $59,500

= $107,500

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