(07.01 LC)
Choose the correct classification of 3x4 - 7x3 + 5x. (2 points)
Sixth degree polynomial
Third degree polynomial
Fourth degree trinomial
First degree binomial

The solution to the system of equations for y is y = 2. So, the correct answer is (a) 2.

To solve the system of equations for y, we can use the method of substitution or elimination. Let's use the method of elimination:

We have the following system of equations:

2x - 15y = -10

-4x + 5y = -30

To eliminate the x term, we can multiply equation 1 by 2 and equation 2 by 4, so the coefficients of x will cancel out when we add the equations:

4(2x - 15y) = 4(-10) => 8x - 60y = -40

2(-4x + 5y) = 2(-30) => -8x + 10y = -60

Now we can add equations 3 and 4:

(8x - 60y) + (-8x + 10y) = -40 + (-60)

-60y + 10y = -100

-50y = -100

Dividing both sides by -50:

y = (-100)/(-50)

y = 2

Therefore, the solution to the system of equations for y is y = 2.

So, the correct answer is (a) 2.

For more such questions on equations , Visit:

https://brainly.com/question/22688504

#SPJ11

Answer:

let the numbers be x and y,

given,

first case,

x+y=72

or, x=72-y(i)

second case,

2x=10y

or, 2(72-y)=10y

or, 144-2y=10y

or, 12y=144

therefore, y=12

therefore, x=72-y=72-12=60

therefore, the numbers are 12 and 60

The 12.04m is far from the base to wall.

The word "base" in mathematics is used to refer to a particular mathematical object that is used as a building block. The most common uses are the related concepts of the number system whose digits are used to represent numbers and the number system in which logarithms are defined.

Let the base of the 17ft long ladder be placed x ft away from the wall so that it exactly reaches the top of a 12- foot tall wall.

By Pythagorean theorem

12²+X²=17²

x²=17²-12²=145

x=√145=12.04

To learn more about   base of the wall refer to:

https://brainly.com/question/18206420

#SPJ1

Answer:

Step-by-step explanation:

If a line with a slope passes through a point with a value such as in this one, which is (1,3), then it must have a y-intercept and a slope. The y-intercept is when the x-value's value is 0 but the y-value is more than 0.

(3,6) is on the line as it corresponds with the slope.

(0,0) is not on this line as the y-value nor the x-value has a coordinate, which is a requirement to make it an ordered pair.

#1

#b

#c

#f

#i

Answer:

a) 3₁₀

b) 6₁₀

c) 7₁₀

f) 19₁₀

i) 181₁₀

Step-by-step explanation:

Binary to Decimal Conversion (Positional Notation Method)

For a binary number with 'n' digits:

For example, to convert the binary number 111001₂ into a decimal:

\(\begin{array}{ c c c c c c}1 & 1 & 1 & 0 & 0 & 1\\\downarrow & \downarrow & \downarrow & \downarrow & \downarrow & \downarrow \\2^5 & 2^4 & 2^3 & 2^2 & 2^1 & 2^0\\\end{array}\)

Multiply each digit by the base (2) raised to the power as indicated above and sum them:

\(=(1 \times 2^5)+(1 \times 2^4)+(1 \times 2^3)+(0 \times 2^2)+(0 \times 2^1)+(1 \times 2^0)\)

\(= 32+16+8+0+0+1\)

\(= 57\)

Finally, express as a decimal number ⇒ 111001₂ = 57₁₀

Question (a)

\(\begin{aligned}\implies 11_2 & = (1 \times 2^1)+(1 \times 2^0)\\& = 2+1\\& = 3\end{aligned}\)

Therefore, 11₂ = 3₁₀

Question (b)

\(\begin{aligned}\implies 110_2 & = (1 \times 2^2)+(1 \times 2^1)+(0 \times 2^0)\\& = 4+2+0\\& = 6\end{aligned}\)

Therefore, 110₂ = 6₁₀

Question (c)

\(\begin{aligned}\implies 111_2 & = (1 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =4+2+1\\& = 7\end{aligned}\)

Therefore, 111₂ = 7₁₀

Question (f)

\(\begin{aligned}\implies 10011_2 & =(1 \times 2^4)+(0 \times 2^3)+ (0 \times 2^2) +(1 \times 2^1)+(1 \times 2^0)\\& =16+0+0+2+1\\& = 19\end{aligned}\)

Therefore, 10011₂ = 19₁₀

Question (i)

\(\phantom{)))}10110101_2 \\\\=(1 \times 2^7)+(0 \times 2^6)+(1 \times 2^5)+(1 \times 2^4)+(0 \times 2^3)+ (1 \times 2^2) +(0 \times 2^1)+(1 \times 2^0)\\\\=128+0+32+16+0+4+0+1\\\\= 181\)

Therefore, 10110101₂ = 181₁₀

The first expression  X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.

According to the question,

We have the following two expressions:

X (Y + Z) = X.Y + X.Z

X(Y.Z) = (X.Y)Z = X.Y.Z

Now, the distributive property of multiplication states that the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.

For example, 2(5+7) is 2*5+2*7.

The associative property of multiplication states that the result of the multiplication of numbers is same even when the bracket is changed from one number to another.

Hence, the first expression  X (Y + Z) = X.Y + X.Z is distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z is associative property of multiplication.

To know more about distributive property here

https://brainly.com/question/5637942

#SPJ1

According to the Boolean algebra, the first expression  X (Y + Z) = X.Y + X.Z uses distributive property of multiplication and

The second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.

Boolean Algebra:

Basically, Boolean algebra is a branch of mathematics that deals with operations on logical values with binary variables.

And there are three properties in Boolean algebra.

They are, Commutative, associative, and distributive properties.

Given,

Sam’s teacher wrote two Boolean expressions on the whiteboard. Identify the names of the laws of these expressions.

Expression 1: X (Y + Z) = X.Y + X.Z

Expression 2: X(Y.Z) = (X.Y)Z = X.Y.Z

Here we need to find the name of the property used by the teacher on those two expression.

While we looking into the question,

We have the give the two expressions:

They are

=> X (Y + Z) = X.Y + X.Z

=> X(Y.Z) = (X.Y)Z = X.Y.Z

When we take the first expression,

X (Y + Z) = X.Y + X.Z

That states that the distributive property of multiplication is used here and the process of the distribution property is the number outside the bracket is multiplied into each number within the bracket and the sign remains the same.

Similarly, when we take the second expression

X(Y.Z) = (X.Y)Z = X.Y.Z

That uses the associative property of multiplication which is the result of the multiplication of numbers is same even when the bracket is changed from one number to another.

Therefore, the first expression  X (Y + Z) = X.Y + X.Z uses the distributive property of multiplication and the second expression X(Y.Z) = (X.Y)Z = X.Y.Z uses the associative property of multiplication.

To know more about Boolean algebra here

https://brainly.com/question/23774072

#SPJ1

Answer:

20 weeks

Step-by-step explanation:

To be able to find the amount of weeks that it will take them to have the same amount, you can say that the amount that Brad saves each week for the number of weeks is equal to the amount that Samantha saves each week for the number of weeks plus the initial amount she has:

(16*1/2)*x=((9*2/3)*x)+40, where

x is the number of weeks

Now, you have to solve for x:

8x=6x+40

8x-6x=40

2x=40

x=40/2

x=20

According to this, the answer is that it will take them 20 weeks to have the same amount in savings.

The like term expressions are 3x^4 and 2x^4, 2x^2 and 3x^2 & finally 2x and 3x

Like terms are terms that have the same variable raised to the same power.

For example, in the expression 3x^2 + 4x^2, the terms 3x^2 and 4x^2 are like terms because they both have the variable x raised to the power of 2.

Using the above as a guide, we have the following like terms in the options

3x^4 and 2x^4, 2x^2 and 3x^2 & finally 2x and 3x

Read more about expressions at

https://brainly.com/question/15775046

#SPJ1

Answer:

810000

Step-by-step explanation:

Answer:

351

Step-by-step explanation:

Answer:

351 is the correct answer man..

Center of circle = (-3, 6)

Diameter = 6

General equation of circle: x² + y² = r²

our answer will be in the form:

(x+a)² + (y+b)² = r²

Substitute center values and radius:

a = 3 (x was -3 but we don't trust it! It should be positive instead of negative)

b = -6 (same rules apply. Don't trust the value in the center. Its the opposite.)

r = 6/2 which is 3

answer: (x+3)² + (y-6)² = 3²

$36  is remaining into Blake's account after a deposite of $96.

What is Integer?

In Mathematics, integers are the collection of whole figures and negative figures. analogous to whole figures, integers also doesn't include the fractional part. therefore, we can say, integers are figures that can be positive, negative or zero, but can not be a bit. We can perform all the computation operations, like addition, deduction, addition and division, on integers. The exemplifications of integers are, 1, 2,,8,-9,-12, etc. The symbol of integers is “ Z “.

Blake's deposit amount =$96

He had overdrawn his account = $60

So, remaining amount into Blakes account = $96 - $60 = $36

Therefore, $36  is remaining into Blake's account after a deposite of $96.

Learn more about Integers click here:

https://brainly.com/question/28148275

#SPJ1

Answer:

the answer is 35/9 which can be written as

3 (8/9)

Answer:

Yes, Lucy is correct. The shape is not a parallelogram because all four sides are not the same length.

Answer:

It is option A. She gets really mad because nobody ever believes her.

Step-by-step explanation:

your welcome

Answer:

∠ A = 66°

Step-by-step explanation:

Supplementary angles sum to 180° thus

∠ A + ∠ B = 180 , substitute values

2x - 14 + 3x - 6 = 180 , that is

5x - 20 = 180 ( add 20 to both sides )

5x = 200 ( divide both sides by 5 )

x = 40

Thus

∠ A = 2x - 14 = 2(40) - 14 = 80 - 14 = 66°

Answer: \(f^{-1}(n)=2n+3\)

Step-by-step explanation:

         To find the inverse, first we will set the equation equal to y.

f(n) = (n - 3)/2

y = (n - 3)/2

         Next, we will switch the n and y values.

n = (y - 3)/2

         Now, we will solve for y.

    First, multiply both sides of the equation by 2.

2n = y - 3

    Next, add 3 to both sides of the equation.

y = 2n + 3

    Lastly, write it with inverse notation.

\(f^{-1}(n)=2n+3\)

The relation {(cat, 1), (dog, 5), (cat, 6), (chicken, 9)} is not a function, because there are two ordered pairs with the same first element, "cat" - (cat, 1) and (cat, 6). In a function, each input (first element) must correspond to only one output (second element).

The relation { (a,10), (b, 11), (-a, 12), (c,13)} is also not a function, because the input "-a" and "a" have different outputs (12 and 10, respectively). In a function, each input must correspond to only one output.

A function is a relation between a set of inputs and a set of possible outputs with the property that each input is associated with exactly one output. In other words, for each input, there is only one output.

The concept of functions is important in many areas of mathematics and its applications, such as physics, engineering, and computer science. Functions can be represented using various mathematical notations, such as tables, graphs, or algebraic formulas.

Learn more about relation here:

https://brainly.com/question/31111483

#SPJ11

Answer:

9.14 x 6= 54.84

Answer:

9.14*6

Step-by-step explanation:

first 9*6=54

again. 14*6j=84

so 9.14*6=54.84

please give rating and like

Answer:

A. 200 minutes

Step-by-step explanation:

The  Smallest numbers is 3.068 and 3.6

Check the whole number portion of each decimal number before placing them in ascending order. Since 4 is the smallest whole number, the smallest decimal number is 4.926. The remaining decimal digits all contain the same whole number, or 18.

The least number among those given is 1.

The smallest three-digit number in the number system is 100, which becomes a two-digit number, which is 99, when one is deducted from the number (a two-digit number). Therefore, in the number system, 100 is the smallest three-digit number. The smallest three-digit number is 100, which is so proven.

To learn more about smallest number refer to :

https://brainly.com/question/27862103

#SPJ1

Answer:

2 grams

Step-by-step explanation:

50 years is 5 half lives as 1 half life is 10 years.

64 divide 2 = 32-1 half life

32 divide 2 =16-2nd half life

16 divide 2 = 8-3rd half life

8 divide 2 = 4-4th half life

4 divide 2 = 2-5th half life

This means we will have 2 grams left of the radioactive substance after 50 years.

Answer:

F(x)=-3x-3

Step-by-step explanation:

Answer:

a rational number

Step-by-step explanation:

a rational number + a rational number will always be a rational number.

The slope of the linear regression equation y = 61. 93x - 1. 79 is attached with the response.

Linear regression is the most primary and generally used predictive research. Regression calculations are utilised to represent data and to describe the association.

The slope of the linear regression equation represented in the graph is the straight-line cutting the intercepts on the y axis at 1.79.

To know more about linear regression follow

https://brainly.com/question/21738659

#SPJ4

Answer:

95.45%

Step-by-step explanation:

To go about this, what we do is to calculate the z-scores of the values in the range given.

Mathematically;

z-scores = (x-mean)/SD

Here in this case , mean is 3 and standard deviation is 0.25

So for 2.5 minutes, we have ;

z-score = (2.5-3)/0.25 = -0.5/0.25 = -2

For 3.5 minutes, we have;

z-score = (3.5-3)/0.25 = 0.5/0.25 = 2

The required probability we want to calculate according to the range is thus;

P(-2<z<2)

We can calculate this value by the use of the standard normal table

Mathematically, we can have the above as;

P(-2<z<2) = P(z<2) - P(z<-2)

We proceed using the table and we have the values as follows;

P(-2<z<2) = 0.97725 - 0.02275 = 0.9545

Now the value 0.9545 in percentage would be 95.45%

By probability , 7 is degrees of freedom are there .

Describe probability using an example?

825 Observations and 8 categories .

Degree of freedom = k - 1

     df = 8 - 1

     df = 7

Learn more about probability

brainly.com/question/11234923

#SPJ4

Answer: Check the numbers that are already there.

Step-by-step explanation:

Example, what times 6 equals 24? then divided 24 by that number. Do this for all the numbers

The autonomic nervous system (ANS) is a department of the peripheral nervous system that regulates the involuntary or computerized features of the body.

The ANS controls a spread of bodily capabilities, inclusive of heart rate, digestion, respiratory, and glandular secretion. it's far divided into two subdivisions:

The sympathetic nervous system is accountable for the "fight or flight" reaction, which prepares the frame for severe bodily hobby or stress. whilst activated, the SNS will increase coronary heart fee, dilates air passages, will increase blood stress, and stimulates the discharge of glucose from the liver, amongst other capabilities.

In assessment, the parasympathetic nervous machine is liable for the "rest and digest" reaction, which promotes rest, digestion, and strength conservation. whilst activated, the PNS slows heart charge, constricts air passages, lowers blood pressure, and stimulates digestion and waste elimination.

Both the sympathetic and parasympathetic anxious systems paintings in a complementary and balanced way to hold homeostasis or inner stability inside the body. dysfunction in the ANS can result in a spread of fitness troubles, inclusive of autonomic neuropathy, dysautonomia, and different situations.

Learn more about Autonomic nervous system:-

https://brainly.com/question/13839155

#SPJ4

The answer is $1,293.75 per unit.

(a) The formula for total revenue as a function of x is R(x) = (1600 - 0.25x)x dollars per week.
(b) The formula for total cost as a function of x is C(x) = 0.8x^2 + 1410x + 400 dollars per week.
(c) To find the break-even points, we need to set the revenue equal to the cost and solve for x.
1600x - 0.25x^2 = 0.8x^2 + 1410x + 400
Simplifying the equation, we get:
1.05x^2 - 190x - 400 = 0
Using the quadratic formula, we get:
x = 166.986 or x = 355.556 (rounded to three decimal places)
The larger break-even point is 355.556 units per week, with corresponding revenue of $511,111.11 per week.
The smaller break-even point is 166.986 units per week, with corresponding revenue of $266,777.78 per week.
(d) The formula for profit as a function of x is P(x) = R(x) - C(x).
Substituting the expressions for R(x) and C(x), we get:
P(x) = (1600 - 0.25x)x - (0.8x^2 + 1410x + 400) dollars per week.
(e) To find the price that maximizes profit, we need to find the derivative of the profit function and set it equal to zero.
P'(x) = 1600 - 0.5x - 0.8(1410 + 1.6x)
Setting P'(x) = 0, we get:
x = 807.5
Substituting x = 807.5 back into the expression for the revenue, we get:
R(807.5) = $1,045,625.00
To find the price that maximizes profit, we need to divide the revenue by the number of units sold:
$1,045,625.00 / 807.5 = $1,293.75 per unit.

Therefore, the answer is $1,293.75 per unit.

To know more about percentage visit : https://brainly.com/question/29306119

#SPJ11