solve the system of equations using the elimation menthod. show your work. make sure to express your solution as an ordered pair

Answer:

acxdddhdhxhhh sax skskskkkkkddffffffrrkel sssddjeeeeerrjrrjtjjj

Equation is 5y = 3x + 8.

Slope is the inclination of a line with respect to the horizontal is measured numerically. The slope of any line, ray, or line segment in analytical geometry is defined as the ratio of the vertical to the horizontal distance between any two points on the line, ray, or segment. The ratio of the increase in elevation between two points to the run in elevation between those same two points is referred to as the slope.

Given Data

line that passes through the point (1, -1) &

is parallel to the graph of y = 3/5x + 2

y = mx + c

y = [tex]\frac{3}{5}[/tex]x + 2

m = [tex]\frac{3}{5}[/tex]

Equating points,

-1 = [tex]\frac{3}{5}[/tex](1) + c

-1 = [tex]\frac{3}{5}[/tex] + c

-1 - [tex]\frac{3}{5}[/tex] = c

[tex]\frac{-5-3}{5}[/tex] = c

[tex]\frac{-8}{5}[/tex]

Equation-

y = [tex]\frac{3}{5}[/tex]x + [tex]\frac{8}{5}[/tex]

5y = 3x + 8

Equation is 5y = 3x + 8.

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Based on the calculations using the given points, the slope in this situation is equal to 5.

A slope is also referred to as gradient and it's typically used to describe both the ratio, direction and steepness of the function of a straight line.

Mathematically, the slope of any straight line can be calculated by using this formula;

[tex]Slope = \frac{Change\;in\;y\;axis}{Change\;in\;x\;axis}\\\\Slope = \frac{y_2\;-\;y_1}{x_2\;-\;x_1}[/tex]

Substituting the given points into the formula, we have;

Slope = (30 - 10)/6 - 2)

Slope = 20/4

Slope = 5.

In conclusion, the slope of the line that passes through the given points is equal to 5.

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In the given triangle we have :

Base line with angle A, and the Hypotenuse of angle A

Since the ratio of Base to the hypotenuse is the Cosine trignometric ratio:

Answer : Cosine

Answer:420

Step-by-step explanation: multiply 300 times 4% =12. Then multiply 12 times 10=120. Then add 300 and 120=420

Answer:

Step-by-step explanation:

59+ 43.6

43.6=44.0

59+44

59+43.6

=103.0

Answer:

0.00908 is the answer...

Answer:

1.45

Step-by-step explanation:

1200-800=400

400/275=1.4545454545...

the answer $1.45

Answer:

74.52

Step-by-step explanation:

[tex]P(10)=0.018(10)^3-0.294(10)^2+3.074(10)+55.180 \\ \\ =74.52[/tex]

The standard form of the straight line is given by 5y - 2x = 20 .

Ax + By = C is the standard form for two-variable linear equations.

We know that when a straight line passes through (a,b) with slope m then the equation of the line is given by:

y - b = m ( x - a )

putting the values in the respective places we get:

y - 2 = 2/5 × ( x + 5 )

or, 5y - 10 = 2x + 10

or , 5y - 2x = 20

Hence the standard form of the straight line is given by

5y - 2x = 20 .

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Answer:

distribute the 4 to the k and -15 so you get 4=4k-60 then add the 60 to the other 4 so its 64=4k then divide 4 to 64 and your answer is 16

Step-by-step explanation:

[tex]4=4k-60\\4k-60=4\\4k=4+60\\4k=64\\\frac{4k}{4} =\frac{64}{4} \\k=16[/tex]

As solved above k=16

Solution

Given

Answer:

9812.29

Step-by-step explanation:

Using the compound interest formula,

[tex]8500 \left(1+\frac{0.024}{4} \right)^{(6)(4)} \approx 9812.29[/tex]

Answer: [tex]f(-4)=-19, g(3)=-29[/tex]

Step-by-step explanation:

[tex]f(-4)=4(-4)-3=-19\\\\g(3)=-3(3)^2 -2=-29[/tex]

Your best option is to simply choose six distinct numbers, in any sequence. You would win if those six numbers matched the six that the lottery officials chose (again, in any sequence).

The likelihood of selecting the correct six numbers is one in

[tex]\frac{23}{6}[/tex] = [tex]\frac{23}{6(23-6)}[/tex] = [tex]\frac{23.22.21.20.19.18}{1.2.3.4.5.6}[/tex] = 100974

Therefore, 100946/100947, or a probability of losing, is very near to 1.

The total of your payouts multiplied by the probability that each scenario will occur is the anticipated value of the game. which is

(50,000) [tex]\frac{1}{100947}[/tex] + (-1) [tex]\frac{100946}{100947}[/tex] = [tex]\frac{50000-100946}{100947}[/tex] = -0.5046

You will typically break even if its value is 0. You should play the game if it is more than zero because you will typically win, and you shouldn't play it if it is less than zero because you will typically lose. The payoff is decently substantial for this, however the typical player loses just over 70 cents per round. Almost every player loses a complete dollar.

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The effective annual yield if the interest is compounded daily is 10.5155 %.

The annual interest rate or rate of return that an investor is entitled to over a particular time period is known as effective annual yield.

​In the case of daily, there are 360 days in a year.

Therefore, making n = 360.

Therefore, the effective annual yield if the interest of 10% is compounded daily when r = 10 % and n = 360 will be:

Y = ( 1 + r/n )ⁿ - 1

Y = ( 1 + 0.1 / 360 )³⁶⁰ - 1

Y = ( 1 + 0.000277 )³⁶⁰ - 1

y = 1.105155 - 1

Y = 0.105155

However, since it is in decimal form, we must first multiply it by 100 before adding the symbol "%" after the last digit of the value.

Therefore,

Y = 0.105155 × 100%

Y = 10.5155 %

Therefore, the effective Annual Yield is 10.5155 %

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Answer: y=1

Step-by-step explanation:

1. Subtract 4y from both sides to get y + 4 = 5.

2. Then subtract 4 from both sides to get y = 1.

Therefore, you get your answer, y = 1. Hope this helps!

Probability of randomly selecting two members who currently hold positions of chairman and ranking member and reassigning them to their current positions from a committee of 14 members is (1 /182).

As given,

Total members in the committee=14

Number of members serve as chairman and ranking member=2

Total number of ways to assigned new position

=¹⁴P₂

=(14!) / (14-2)!

=(14 × 13 × 12!) / 12!

=14 ×13

=182

Each member is equally likely to serve in any of positions.

Each position there is only one way to reassign position.

Probability of randomly selecting two members = 1 /182

Therefore, probability of randomly selecting two members who currently hold positions of chairman and ranking member and reassigning them to their current positions from a committee of 14 members is (1 /182).

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ANSWER

STEP-BY-STEP EXPLANATION:

Given information

Find g(5x)?

Step 1: make x = 5x

Answer: 35

Step-by-step explanation:

1) Substitute the x's and y's

(2)9+(12−(-5))

2) Simplify the numbers inside the equation

18+(12-(-5)

= 18+(17)

= 35

3) Solved.

35

[tex]\sin^2 x=1-\cos^2 x \\ \\ \cos^2 x=1-\sin^2 x[/tex]

Answer:

  987

Step-by-step explanation:

You want to determine a three-digit combination based on clues about which digits are right and/or correctly placed.

This tells you one of digits 1, 2, or 7 is correct and correctly placed.

Clue 2 tells you that digit is not 1. Clue 4 tells you that digit is not 2.

  7 is correctly placed as the 3rd digit

We already know that 1 is not the correct digit. This means 3 must be the first digit, or 8 must be the first or second digit.

We already know that 7 is a correct digit, properly placed as the 3rd digit. Since 1 is not a correct digit, 9 must be a correct digit, properly placed as the 1st digit.

  9 is correctly placed as the 1st digit

Combining this fact with Clue 2 means ...

  8 is correctly placed as the 2nd digit

The combination is 987.

__

Check

Clues 4 and 5 are consistent with this combination.

Question 1

Using scientific notation, we know a=2, b=4, c=1, and d=3. So,

[tex]\frac{a}{2}+\frac{b}{4}+\frac{c}{8}+\frac{d}{16}=1+1+\frac{1}{8}+\frac{3}{16}=37/16[/tex]

Question 2

[tex]a+13b=3(3a-b)\\\\a+13b=9a-3b\\\\16b=8a\\\\a=2b\\\\\therefore \frac{a^3}{b^3}=\frac{(2b)^3}{b^3}=\frac{8b^3}{b^3}=8[/tex]

The given graph shown in the image is a function, Option b is correct.

Given that,
A graph is shown, and we have to determine whether the graph shown is a function or not.

The function which is in format f(x) =a^x  where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

here,
The graph shows of a curve representing an exponential function,

There is why the graph shown is a function, and also the graph is continuous and as well as differentiable.

Thus, the given graph shown in the image is a function, Option b is correct.

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The first four terms of the binomial series are  1, x, - x²/2 and - 1/32x³ respectively.

The binomial provided to us is [tex](1+2x)^{1/2}[/tex]

To find out the first four terms of the binomial, we shall first extend the standard binomial (1+x)^n.

(1+x)^n = 1 + nx + [n(n - 1)/2!] x² +  [n(n - 1)(n - 2)/3!] x³ +...

As we can see here,

The value of x = 2x,

The value of n = 1/2.

We get,

(1+2x)^1/2 = 1 + 1/2(2x) + [1/2(1/2-1)/2!]x² + [1/2(1/2-1)(1/2-2)/3!]x³ +

(1+2x)^1/2 = 1 + x  - x²/2 - 9/4x³ + .....

From the expansion, we can see,

First term = 1

Second term = x

Third term = -x²/2

Fourth term = -1/32x³.

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Answer:

5

Step-by-step explanation:

use math-way

optionsWe want to obtain an expression equivalent to 8 using these symbols and numbers.

The option that exactly matches this is,

That is because,

7 divided by 7 is 1.

1 squared is still one, and;

1 added to 7 is 8.

So one answer is option D.

We also have another answer.

Which is;

That's because 7 squared is 49, and 7 + 49 is 56.

56 divided by 7 is 8.

So our answers are option C and option D

The total ratio of the drive is 9.58:1.

Given ratios of the three separate stages of a gear reduction drive are 3:1,2.38:1 and 4.2:1.

To find the total ratio of the drive we have to add the respective ratios.

When the denominator of the ratios are same, as in this case we just have to add the numerators to obtain the result.

Total ratio of the drive = 3:1 + 2.38:1 + 4.2:1 = 9.58:1

So, the total ratio of the drive is 9.58:1.

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