Solve each by elimination
-3x + 4y = 29
3x + 2y = -17

ES is 8√2 units from the given graph.

Graph is a mathematical representation of a network and it describes the relationship between lines and points.

The given two points from the graph are S(4, 4) and E(-4, -4)

We need to find ES which means the distance between two points in units.

The length along a line or line segment between two points on the line or line segment.

Distance=√(x₂-x₁)²+(y₂-y₁)²

√(-4-4)²+(-4-4)²

√(-8)²+(-8)²

√64+64

√64×2

8√2 units.

Hence, ES is 8√2 units from the given graph.

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Based on the question above, Jessica sold 260 books and Josh sold 20 books.

Let x be the number of books Josh sold

We know that:

Jessica sold 13x books

Together they sold 280 books

So we can set up an equation:

x + 13x = 280

14x = 280

x = 20

Josh sold 20 books

Jessica sold 13 * 20 = 260 books

Therefore Jessica  = 260 books sold and Josh = 20 books sold.

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Answer:

g=44°

k=70°

h= 136°

m= 110°

Answer:

h= 136°

g=44°

m= 110°

k=70°  

Step-by-step explanation:

Have a nice day!

Answer:

3/14 chance first draw

Step-by-step explanation:

There are 14 jellybeans in all, you won’t be replacing so the probability will change with each draw.

Probability the 1st draw is red = 3/14.

Probability the 2nd draw is red = (3–1)/(14–1) = 2/13.

Probability the 3rd draw is red = (2–1)/(13–1) = 1/12.

3/14 x 2/13 x 1/12 = 6/2184 = 1/364 is approximately 0.27%, pretty rare.

Answer:

y= 1200(0.92)^x

Step-by-step explanation:

Given data

Cost price= $1200

Rate of decrease= 8%

Let the time be x

The expression that describes an exponential function is

y= ab^x

for decrease b= 1-r

y= 1200(1-0.08)^x

y= 1200(0.92)^x

Hence the expression is

y= 1200(0.92)^x

Answer:Answer:

the added person age is 26

Step-by-step explanation:

let the added person age is A

the six person mean is (23+19+12+21+13+A)/6=19

=> 88+A/6=19

=>A=(19×6)-88

there fore A=26

Answer:

39

Step-by-step explanation:

13 + 13 + 19 + 23 + 19 + x = 21

                       6

Combine like terms

(87 + x) / 6 = 21                  Multiply both sides by 6

(87 + x )  = 21 * 6

87 + x = 126                       Subtract 87 from both sides

x = 126 - 87

x = 39

The 6th person entering the room was 39

Answer:

sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]

Step-by-step explanation:

cos = adjacent side/hypotenuse

Then, in a right triangle the adjacent = 2 and the hypotenuse = 3

By the Pythagorean theorem, 3^2 = 2^2 + opposite side^2

9 - 4 = 5

opposite side = [tex]\sqrt{5}\\[/tex]

sin (theta) = [tex]\frac{\sqrt{5} }{3}[/tex]

An easier way is to find sin(arccos (-2/3) = [tex]\frac{\sqrt{5} }{3}[/tex]

Note:  Remember that the sin is positive in the 2nd quadrant.

The cubic equation in factor form f(x) = (x + 7) · (x - 3) · (x - r) contains zeros (- 7 , 0) and (3, 0), for r = 0: f(x) = (x + 7) · (x - 3) · (x - r).

Cubic functions are polynomials with grade 3 and whose standard form is described by the following form:

y = a · x³ + b · x² + c · x + d

Where a, b, c, d are real coefficients. The factor form of a cubic function is described by the following definition:

y = a · (x - r₁) · (x - r₂) · (x - r₃)

Where:

Replace all known variables in factor form of cubic equation: (a = 1, r₁ = - 7, r₂ = 3, r₃ = r)

f(x) = (x + 7) · (x - 3) · (x - r)

Variable r means that there is more than one answer concerning the expression, if we assume that r = 0, then the particular solution is f(x) = (x + 7) · (x - 3) · x.

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Answer:

A. 6x - 4

Step-by-step explanation:

[tex]\sf 8-3(4-2x)[/tex]

Distribute:-

[tex]\sf 8+(-3)(4)+(-3)(-2x)[/tex]

[tex]\sf 8+-12+6x[/tex]

Combine Like Terms:-

[tex]\sf (6x)+(8+-12)[/tex]

[tex]\sf 6x+-4[/tex]

** + * - = -**

[tex]\sf 6x-4[/tex]

Therefore, option A. 6x - 4 is your answer!

_____________________

Hope this helps!

Have a great day!

Answer:

84in

Step-by-step explanation:

Answer:

(-0.283, -0.733)

Step-by-step explanation:

There are various ways in which to approximate the solution.  One is to use a graphing calculator and graph the two functions separately, then determine the point of intersection.  The first function has a parabolic graph that opens down, whereas the second function has an exponential graph which heads downward as x increases.

At first try I found that the two graphs intersect in Quadrant III, at approximately (-1/2, -3/4).

Next I used my calculator's CALC tools, specifically that which finds the coordinates of the intersection of two graphs, ending up with these coordinates:  (-0.283, -0.733).  These coordinates are to the nearest thousandths.

If and when you take Calculus, you'll learn Newton's Method for Finding Roots, which doesn't require a graphing calculator.

Answer:

y = 3x + 5

Step-by-step explanation:

Slope intercept form is

y = mx + b

where m is the slope and b is the y-intercept

Given m = 3 and b = 5

y = 3x + 5

Answer:

Step-by-step explanation:

Take the log of both sides:

log (5^2) = log 25, or

2 log 5 = log 25 or 2 log 5

Note that 5^2 = 25 is always true.

Answer: The ship is going to another planet.

Step-by-step explanation:

I hate i-ready,

Your welcome mate

9514 1404 393

Answer:

  x^2 +y^2 +6x -18y +65 = 0

Step-by-step explanation:

The short of it is that you're being asked to rewrite each of these standard-form equations into general form: f(x,y) = 0.

It can save you a little effort if you recall that the square of a binomial is ...

  (a +b)² = a² +2ab +b²

Otherwise, you would use the distributive property to get ...

  (a +b)(a +b) = a(a +b) +b(a +b)

   = a² +ab +ab +b²

   = a² +2ab +b²

__

For the given equation, expanding the squares gives ...

  (x +3)² +(y -9)² = 5²

  (x² +6x +9) +(y² -18y +81) = 25 . . . . . expand the squares

  x^2 +y^2 +6x -18y +65 = 0 . . . . . . . . subtract 25; put in order of decreasing powers of the variables

Answer:

Step-by-step explanation:

He added 18 on both sides instead of subtracting 18 on both sides

X+18-18<22-18

X<4

Step-by-step explanation:

a linear relationship or function is described by

y = ax + b

that means that the difference from one y value to the next is defined by a constant ratio of y diff / x diff.

so, the first one is not linear.

because the difference ratios are not constant :

(1-0)/(1-0) = 1

(4-1)/(2-1) = 3

(9-4)/(3-2) = 5

the second one is linear.

the difference ratios are constant :

(1-0)/(1-0) = 1

(4-1)/(4-1) = 1

(9-4)/(9-4) = 1

the third one is not linear.

the difference ratios are not constant :

(3-1)/(3-2) = 2

(9-3)/(4-3) = 6

(27-9)/(5-4) = 18

the fourth one is linear.

the difference ratios are constant :

(5-1)/(4-2) = 4/2 = 2

(9-5)/(6-4) = 4/2 = 2

(13-9)/(8-6) = 4/2 = 2

Answer:

Step-by-step explanation:

To find the y-intercept, we can use the slope-intercept form of a linear equation which is y = mx + b, where m is the slope of the line, and b is the y-intercept.

Since the line passes through the points (2, -2.5) and (4, -2), we can use the point-slope form of a linear equation, which is y - y1 = m(x - x1), where (x1, y1) is a point on the line and m is the slope of the line.

To find the slope(m) we can use the rise over the run formula ,

m = (y2 - y1) / (x2 - x1) = (-2 - (-2.5)) / (4 - 2) = -0.5

then we can substitute the values in point-slope form

y - (-2.5) = -0.5 (x - 2)

And now we can use x = 0,

y = -0.5(0-2) -2.5 = 1.5

so the y-intercept of the line is 1.5

Answer:

Step-by-step explanation:

he total amount resulting from the addition of two or more numbers, amounts, or items

Answer:

(2/5x+1/5x)+(5/8-1/4)

3/5x+(5/8-2/8)

3/5x+3/8

Answer:

this is a problem with no solution look it up if you dont beleve me

Step-by-step explanation:

Answer:

2 * 0.75 + 0.50 + 4 * 1.25

$7.00

Step-by-step explanation:

Expression

2 * 0.75 + 0.50 + 4 * 1.25

Evaluate

1.50 + 0.50 + 5.00

$7.00

On solving the provided question, we can say that - so, percentage - 400/500 X 100 = 80%

A percentage in mathematics is a figure or ratio that is stated as a fraction of 100. The abbreviations "pct.," "pct," and "pc" are also occasionally used. It is frequently denoted using the percent symbol "%," though. The amount of percentages has no dimensions. With a denominator of 100, percentages are basically fractions. To show that a number is a percentage, place a percent symbol (%) next to it. For instance, if you correctly answer 75 out of 100 questions on a test (75/100), you receive a 75%. To compute percentages, divide the amount by the total and multiply the result by 100. The percentage is calculated using the formula (value/total) x 100%.

here,

total is 500

obtained is 400

so, percentage - 400/500 X 100 = 80%

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The solution is Option B.

Noise is easily filtered out without damage to the original signal because a narrow range of values is expected

A digital signal encodes data as a sequence of discrete values. A digital signal can only have one value from a finite set of possible values at any given time. A signal which is a discrete function of time, i.e. non-continuous signal, is known as digital signal. Digital computers and digital phones are some of the examples of digital signals

The three types of digital signals are

Continuous-Time/Analog Signal

Discrete-Time Signal

Digital Signal

Given data ,

The digital signals are a more reliable way to encode and transmit information than analog signals

Because , while transmitting information through digital signals , they have less interference over long distances and digital signals offer better clarity

The digital devices only record pieces of sound waves, not full waves.

Now , Analog technology stores information as sound waves; digital technology stores it as strings of ones and zeroes.

Hence , noise is easily filtered out without damage to the original signal because a narrow range of values is expected

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Answer:

2x^2+1

Step-by-step explanation:

4x^2+2-2x^2-1

Group like terms:

4x^2-2x^2+2-1

2x^2+2-1

2x^2+1

Answer:

2x^2 + 3

Step-by-step explanation:

Subtracting functions is similar to subtracting normal numbers. An easy way to do it is to put one over the other and then combine like terms.

 4x^2 + 2

- 2x^2 - 1

= 2x^2 + 3

Even though it looks like you would do 2-1, the three is because you're adding -(-1) (aka 1) to 2.

Answer:

X=9

Step-by-step explanation:

4x+8=40

4x=40-8

4x=32

X=9

Answer:

[tex]\small\mathfrak\green{here \: is \: your \: solution...} \\ \\ \small\mathfrak\green{4(x + 2) = 40} \\ \\ \small\mathfrak\green{4x + 8 = 40} \\ \\ \small\mathfrak\green{4x = 40 - 8 } \\ \\ \small\mathfrak\green{4x = 32} \\ \\ \small\mathfrak\green{x = 32 \div 4} \\ \\ \small\mathfrak\green{x = 8}[/tex]

[tex]\small\boxed{\mathfrak{ Hope \: it \: helps ....}}[/tex]

Answer:

In the story Dark They Were And Golden Eyed, by Ray Bradbury, a great story that he develops themes of fear, change and symbol and label. The author uses techniques of similes, metaphors and personification that explain and convey them to the reader very powerfully.

Step-by-step explanation:

hope it helps

[tex]d-2=4.6[/tex]

Add 2 to both sides:

[tex]d-2+2=4.6+2[/tex]

[tex]\fbox{d = 6.6}[/tex]