MATHEMATICS HIGH SCHOOL

Translate the sentence into an equation using n as the unknown number. Then solve the equation for n.Two times a number increased by 5 is 15.

a.
2n(5) = 15
n = 1.5
c.
2n + 5 = 15
n = 20
b.
2n + 5=15
n = 5
d.
n + 5 = 15
n = 10

Answers

Answer 1
Answer: n-the\ unknown\ number\n\n2n+5=15\ \ \ \ |subtract\ 5\ from\ both\ sides\n\n2n=10\ \ \ \ \ |divide\ both\ sides\ by\ 2\n\n\boxed{n=5}\n\nAnswer:\boxed{2n+5=15;\ n=5}

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The depth of snow after n hours of a snowstorm is represented by the function f(n + 1) = f(n) + 0.8 where f(0) = 2.5. Which statement describes the sequence of numbers generated by the function?The depth of snow was 0.8 inches when the storm began, and 2.5 inches after the first hour of the storm. The depth of snow was 1.7 inches when the storm began, and 0.8 inches of snow fell each hour. The depth of snow was 2.5 inches when the storm began, and increased by 0.8 inches each hour. The depth of snow was 3.3 inches when the storm began, and 2.5 inches of snow fell in 1 hour.
Which statement is true??

Which algebraic expression is a polynomial with a degree of 5?3x5 + 8x4y2 – 9x3y3 – 6y5
2xy4 + 4x2y3 – 6x3y2 – 7x4
8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4
–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5

Answers

The degree of a polynomial is the highest exponent or sum of exponents of the variables in the individual terms of a polynomial.

Looking at each the polynomial:

3x5 + 8x4y2 – 9x3y3 – 6y5: Degree is 6 (look at the 2nd and 3rd term)

2xy4 + 4x2y3 – 6x3y2 – 7x4: Degree is 5 (look at 1st, 2nd, and 3rd term)

8y6 + y5 – 5xy3 + 7x2y2 – x3y – 6x4: Degree is 6 (look at 1st term)

–6xy5 + 5x2y3 – x3y2 + 2x2y3 – 3xy5: Degree is 6 (look at 1st and last term)

Therefore, the answer is the second option:
2xy4 + 4x2y3 – 6x3y2 – 7x4

Answer:

2xy^4 + 4x^2y^3 - 6x^3y^2 - 7x^4

Step-by-step explanation:

Since, the highest degree in a polynomial is called the degree of the polynomial,

While, the degree of each term in a polynomial with two variables is the sum of the exponents in each term.

In 3x^5 + 8x^4y^2 - 9x^3y^3 - 6y^5,

Sum of exponents are 5, 6, 6, 5,

So, degree of the polynomial is 6.

In 2xy^4 + 4x^2y^3 - 6x^3y^2 - 7x^4,

Sum of exponents are 5, 5, 5, 4,

So, degree of the polynomial is 5.

In 8y^6 + y^5 - 5xy^3 + 7x^2y^2 - x^3y - 6x^4,

Sum of exponents are 6, 5, 4, 4, 4, 4

So, degree of the polynomial is 6.

In -6xy^5 + 5x^2y^3 - x^3y^2 + 2x^2y^3 -3xy^5,

Sum of exponents are 6, 5, 5, 5, 5

So, degree of the polynomial is 6.

How to find the inverse of the function f(x)=2x-3 ? Please

Answers

f(x)=2x-3\n\ny=2x-3\n\n-2x=-y-3\ \ \ \ /:(-2)\n\nx=(1)/(2)y+(3)/(2)\n\nf^(-1)(x)=(1)/(2)x+(3)/(2)
f(x)=2x-3
y=2x-3
x=(y+3)/2

f⁻¹(x) = (x+3) / 2

Find the mode of these temperatures:a) 15°, 26°, 34°, 189, 15°
b) 78°, 62°, 85°, 57°, 68°
c) 80°, 68°, 75°, 80°, 78°

Answers

Answer:

a) 15°

b) No mode

c) 80°

Step-by-step explanation:

Mode:

The value/quantity that occurs most often is the mode of the data set.

Part a)

15°  (Occurs 2 times)

Part b)

No mode (Each value occurs equally i.e. 1 time)

Part c)

80° (Occurs 2 times)

\rule[225]{225}{2}

Hope this helped!

~AnonymousHelper1807

Answer:

The mode is no mode for the first and second but the third is 80

I am confused as to why there wasn't more than one of the same number for this problem

Remember that mode is the one that appears the most!

Step-by-step explanation:

A song that I learned in 4th grade by my teacher kinda helps with this lol:

Range is the maximum minus the minimum

The mode is the one that appears the most

The median is the one in the middle

Now you know about Data!

Just try and say that over and over or write it down somewhere lol

I hope this helps

plz mark B R A I N L I E S T

The length of a rectangular room is 7.9m and it's width is 8.6m. Find the area of the room.

Answers

Length x Width=Area
Multiply 
8.6 x 7.9= 67.94cm^2 
Formula = Length * Width=Area


8.6 * 7.9= 67.94cm^2

Is y=5x+4 proportional?

Answers

Its proportional. 

(I need 20 characters but thats all really.)

The slope of a line is represented by the variable _____. X y m b

Answers

Answer:

Option (c) is correct.

The slope of a line is represented by the variable 'm'

Step-by-step explanation:

Given : The slope a line

We have to choose which variable is used to represent the slope of a line.

Since, the general equation of line is represented by the equation

y = mx + c ,

where m is slope

and c is y intercept.

So , we represent the slope of line by the variable 'm'

Thus, The slope of a line is represented by the variable 'm'
M is the slope.-X is an independent variable.Y is a dependent variable.B is the where the line crosses the Y-axis.
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