Solve the following system of equations:

−2x + y = 1
−4x + y = −1

(3, 1)
(−1, 3)
(−1, −3)
(1, 3)

Answer:

1.275

11.5

2.002

0.68

2

0

12

Step-by-step explanation:

Evaluate Z/8 for each :

Z = 10.2 ; 10.2 / 8 = 1.275

Z = 92 ; 92/ 8 = 11.5

Z = 16.016 ; 16.016 / 8 = 2.002

Z = 5 4/9 ; (49 /9) ÷ 8 = 0.68

Evaluate each expression below if m = 32 and n = 150

m/16 ; 32 / 16 = 2

2N - 200 ; 2(150) - 300 = 300 - 300 = 0

3/4M -12 ; 3/4(32) - 12 = 24 - 12 = 12

The Complete statement are:

The properties of polynomial addition include closure, commutativity, and associativity.

These properties of polynomial addition make it easy to perform arithmetic operations with polynomials because they have predictable results and the order in which the polynomials are grouped or ordered does not change the final result.

Therefore, In simple terms, closure property ensures that the sum of two polynomials is also a polynomial, commutative property ensures that the order of the polynomials does not change the sum and the associative property ensures that the grouping of the polynomials does not change the sum.

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Answer:

Step-by-step explanation:

The number of expected times to pick a card without strips is 130.

The percentage is calculated by dividing the required value by the total value and multiplying by 100.

Example:

Required percentage value = a

total value = b

Percentage = a/b x 100

Example:

50% = 50/100 = 1/2

25% = 25/100 = 1/4

20% = 20/100 = 1/5

10% = 10/100 = 1/10

We have,

The percentage of stripes from the 120 times.

= 42/120 x 100

= 35%

Now,

Based on this experiment,

The number of strip cards out of 200 times.

= 35% of 200

= 35/100 x 200

= 35 x 2

= 70

The number of times to pick a card without strips.

= 200 - 70

= 130

Thus,

The expected number of times to pick a card without stripes is 130.

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The complete question is given below.

Answer:

[tex]-9\frac{1}{4}[/tex]

Step-by-step explanation:

Rewrite our equation with parts separated

-5 - [tex]\frac{3}{4}[/tex] - 3 - [tex]\frac{1}{2}[/tex]

Solve the whole number parts

-5 - 3 = -8

Solving the fraction parts and Find the LCD

LCD = 4

[tex]-\frac{3}{4}[/tex] - [tex]\frac{2}{4}[/tex] = [tex]-\frac{5}{4}[/tex]

Simplify

[tex]-\frac{5}{4} = -1\frac{1}{4}[/tex]

Combine the whole and fraction parts

8 - 1 - [tex]\frac{1}{4}[/tex] = [tex]-9\frac{1}{4}[/tex]

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Answer:

73.07%

Step-by-step explanation:

Given that,

Actual value of sold cookies = 26

Assumed value of sold cookies = 45

We need to find Gabby's percent error. The percentage error in a value is given by :

Error = ](Assumed value - Actual value)/Actual value]× 100

So,

[tex]\%=\dfrac{45-26}{26}\times 100\\\\=73.07\%[/tex]

So, Gabby's percent error is equal to 73.07%.

Answer: 73.1

Step-by-step explanation: Although the answer is 73.07 if you're in Acellus they want you to round to the nearest percent so the answer should be 73.1

Answer:

the answer to your question is A

Step-by-step explanation:

The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.

Option A is correct.

A mathematical phrase that establishes the link between an independent variable and a dependent variable (the dependent variable).

As per the given data:

We are given the function f(x) and the function g(x), also we are given the equation which related the functions f(x) and g(x).

We have to find the transformation that f(x) will undergo in order to get the graph of the function g(x).

From the given data:

f(x) = 2x

g(x) + 2f(x) = 2

∴ g(x) = 2 - 2f(x)

Now from the above equation we can clearly see that when 2 will be multiplied in f(x) its graph will be stretched horizontally by a factor of 2.

The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.

Hence, The graph of g(x) is the graph of f(x) stretched horizontally by a factor of 2.

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Answer:

1) 10/3

2) -1./3

3) -2/5

4) 1

5) undefined

6) 0

Step-by-step explanation:

Find two easy to read points. Go from one point to the other by going vertically first then horizontally. Moving up is positive and down is negative. Moving right is positive and left is negative.

slope = rise/run = (difference in y)/(difference in x)

1) slope = 10/3

2) slope = -1/3

3) slope = -2/5

4) slope = 1/1 = 1

5) slope = undefined (The slope of a vertical line is undefined.)

6) slope = 0 (The slope of a horizontal line is 0.)

a) The angular speed of the saw blade in radians per minute is;

460.77 radians per minute.

b) The linear speed (in feet per minute) of the saw teeth as they contact the wood being cut is; 7.46 * 10⁻⁴ ft/min

a) Angular speed is defined as the speed of the object in rotational motion

The formula of the angular speed is; ω = θ / t

where;

ω is the angular speed

θ is the angular rotation

t is the time taken.

We are given;

In one revolution, the angle made is 2π radian.

In 4400 revolutions = 2π * 4400 radian

= 8800π radians

We know that ,

1 hour = 60 minute.

Thus;

Angular speed = 8800π/60

= 460.77 radians per minute

b) The relationship between the linear speed and angular speed in a uniform circular motion is given by the formula;

s = rω

where;

s is the linear speed

r is the radius

ω is the angular speed.

radius = 8 ¼ -inch/2 = 33/8 inches

Conversion from inches to feet gives;

33/8 inches = 0.34375 ft

Thus;

s =  0.34375/460.77

s = 7.46 * 10⁻⁴ ft/min

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Answer:

5/19

Step-by-step explanation:

Answer:

help me plzz

Step-by-step explanation:

The velocity of a particle moving along the x-axis is v(t) = cos(2t), with t measured in minutes and v(t) measured in feet per minute. To the nearest foot find the total distance travelled by the particle from t = 0 to t = π minutes

Answer:

[tex]\frac{15}{x^5}[/tex]

Step-by-step explanation:

[tex]\left|-15\right|x^{-5}[/tex]

Step 1: Apply exponent rule: [tex]\:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\left|-15\right|\frac{1}{x^5}[/tex]

Step 2: Multiply fractions: [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]

[tex]=\frac{1\cdot \left|-15\right|}{x^5}[/tex]

Step 3: Simplify

[tex]=\frac{15}{x^5}[/tex]

The result is [tex]=\frac{15}{x^5}[/tex]

Spanish/Espanól

Respuesta:

[tex]\frac{15}{x^5}[/tex]

Explicación paso a paso:

[tex]\left|-15\right|x^{-5}[/tex]

Paso 1: aplique la regla del exponente: [tex]\:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\left|-15\right|\frac{1}{x^5}[/tex]

Paso 2: multiplica fracciones: [tex]a\cdot \frac{b}{c}=\frac{a\:\cdot \:b}{c}[/tex]

[tex]=\frac{1\cdot \left|-15\right|}{x^5}[/tex]

Paso 3: simplifica

[tex]=\frac{15}{x^5}[/tex]

El resultado es [tex]=\frac{15}{x^5}[/tex]

Answer:

6 sixteenths 6/16

Step-by-step explanation:

8 x 2 = 16

3 x 2 = 6

Answer:

B D E F

Step-by-step explanation:

Answer:

I think Jacob wins the race

Answer: itz d plz trust me

Answer:

Step-by-step explanation:

As she is baking cookies = 3/20

she egave it to her neigbour = 7/20

Remaining = ?

R = 3/20 -7/20 = -1/5

Answer:  

can u be more specific so i can properly help u  

Explanation:  

pls explain and i will edit my answer  

Answer:

25.8 pounds

Step-by-step explanation:

3 x 8.6 = 25.8

Answer:

Step-by-step explanation:The Apple iPhone 7 has a 4.7-inch size display, while the iPhone 7 Plus has a 5.5-inch display. The standard iPhone 7 has a 1334 x 750 pixel resolution, while the Plus has a Full HD resolution meaning their pixel densities are 326ppi and 401ppi, respectively.

The total number of employees that this company would be said to have is given as 122424

How to solve for the number of employees in the company

We know that the number of employees in one country is 22400, and that this represents 18.3% of the company's employees in total.

We can use this information to set up a proportion to find the total number of employees in the company.

Employees in one country / Total employees = 18.3 / 100

22400 / X = 18.3/100

To find the total number of employees, we can cross-multiply and divide:

X = (22400 * 100) / 18.3

X = 122424

So the company has a total of 122424 employees.

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Answer:

1/5

Step-by-step explanation:

The Constraint is ; those who rode the bus, hence it is conditional because we aren't focused on students, only students who rode the bus.

Now we want the frequency of those who were late Given that they rode the bus : for these we have 3 students

Total number of students who rode the bus , total possible outcome = 15

Hence, the conditional frequency = (number who rode bus and were late / otal number who rode the bus)

Hence, we have ; 3 / 15 = 1 / 5

Answer:

C

Step-by-step explanation:

Answer:

Area of a rectangle=LxW

There's 2 rec's there

For the first

A= 1/3.s

For the second

L=12

W= 1/3

A = 1/3 . ( 12)

Total Area = 1/3.s + 1/3(12)

Now This can also be simplified by factorization

Total Area = 1/3(s+12)

We factored out 1/3 from both sides.

The question asked to select ALL THE EXPRESSION That represents the total area.

SO OPTION C and E

Answer:

a) a + b

Step-by-step explanation:

The value of the exterior angle x will be (a+b).

The angle made by the two lines of the figure which lie on the outside of the closed figure is called the exterior angle.

The exterior angle is the sum of the two opposite internal angles of any figure.

The exterior angle in the given figure will be equal to x = a+b the sum of the two opposite interior angles.

Therefore the value of the exterior angle x will be (a+b).

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The multiplicative rate of change for the exponential function is 0.4.

The exponential function in mathematics is represented by the symbols f(x)=exp or ex. The word, unless otherwise stated, normally refers to the positive-valued function of a real variable, though it can be extended to complex numbers or adapted to other mathematical objects like matrices or Lie algebras.

In mathematics, an exponential function has the following form: f (x) = an x, where x is a variable and an is a fixed amount known as the function's base. The transcendental number e, or roughly 2.71828, is the most often encountered exponential-function base.

Given: Exponential function [tex]$f(x)=2\left(\frac{5}{2}\right)^{-x}$[/tex]

To find The multiplicative rate of change for the exponential function.

Solution :

The general form of the exponential function is [tex]$f(x)=a b^x$[/tex]

where $b$ is the rate of change of the function.

First we write the given function In proper form:

[tex]$$\begin{aligned}& f(x)=2\left(\frac{5}{2}\right)^{-x} \\& f(x)=2\left(\frac{2}{5}\right)^x\end{aligned}$$[/tex]

The rate of change is [tex]$f(x)=a b^x$[/tex]

Therefore, The multiplicative rate of change for the exponential function Is $0.4$

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Answer:

Area = 24 in.²

Step-by-step explanation:

Area of the parallelogram = base × height

base = 6 in.

height = h = ?

Use pythagorean theorem to find h

Thus:

h² = 5² + 3²

h² = 25 - 9

h² = 16

h = √16

h = 4 in.

Plug the values into the formula for area of parallelogram

Area = 6 × 4

Area = 24 in.²