MATHEMATICS HIGH SCHOOL

Solve this equation: x+21=20

Answers

Answer 1

Answer:

Hey there!

x+21=20

x=20-21

x=-1

Hope this helps you!

#HaveAnAmazingDay

$GraceRosalia$

Answer 2

Answer:

Answer:

x=20-21

x= -1

hope helps... :)

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Whats the function for y=-4x+3

Answers

Answer:

the function for y=-4x+3

= soln,

y=mx+b"

A banana bread recipe calls for 3/4 cup butter. One tablespoon equals 1/16 cup. How many tablespoons of butter are needed to make the banana bread?

Answers

Answer:

Banana recipe will require 12 table spoons of butter.

Step-by-step explanation:

Banana bread recipe requires the butter = $(3)/(4)$ cups

Since $(1)/(6)$ cup = 1 table spoon

Therefore, 1 cup = $(1)/((1)/(16))$ = 16 table spoons

Therefore, $(3)/(4)$ cup of butter = $(3)/(4)* 16$

= 12 table spoons of butter

So Banana recipe will require 12 table spoons of butter.

3/4 of a cup is the same as 12/16 of a cup. if one tablespoon is 1/16 of a cup, then 12 tablespoons of butter are required

How do you divide can someone plz tell me

Answers

Just divide
Like 4:2=2

Its pretty easy lets say 2:4 How many times does 2 go into 4 two times see easy

How do you write 39/10 as a percentage?

Answers

Answer:
39/10

39 ÷ 10= 3.9

3.9 x 100 = 390%

39/10
= (39*10) / (10*10)
= 390/ 100
= 390%

The final answer is 390%~

Joe solved this linear system correctly.6x+3y=6

y=−2x+2

These are the last two steps of his work.

6x−6x+6=6

6=6

Which statement about this linear system must be true?

a) x must equal 6

b) y must equal 6

c) there is no solution to this system

d) there are infinitely many solutions to this system

Answers

There are infinitely many solutions because the first two equations are actually the same just arranged differently so there's not enough information to know what x or y are in other words they could be anything.

What are the possible number of positive, negative, and complex zeros of f(x) = x6 – x5– x4 + 4x3 – 12x2 + 12 ?

Answers

This is a polynomial with more than 2 as a degree. Using Descartes Rule of Signs:
f(x) = x⁶ + x⁵ + x⁴ + 4x³ − 12x² + 12
Signs: + + + + − + 2 sign changes ----> 2 or 0 positive roots
f(−x) = (−x)⁶ + (−x)⁵ + (−x)⁴ + 4(−x)³ − 12(−x)² + 12 f(−x) = x⁶ − x⁵ + x⁴ − 4x³ − 12x² + 12
Signs: + − + − − + 4 sign changes ----> 4 or 2 or 0 negative roots
Complex roots = 0, 2, 4, or 6

Descarte's Rule of Sign is useful for finding the zeroes of a polynomial. The rule will tell you how many roots you can expect and of which type not where the polynomial's zeroes are. This rule is given as follows:

$For \ a \ polynomial \ f(x)=a_(n)x^n+a_(n-1)x^(n-1)+ \ldots a_(2)x^2+a_(1)x+a_(0) \n \n with \ real \ coefficients \ and \ a_(0) \neq 0$

$\bullet \ The \ number \ of \ \mathbf{positive \ real \ zeros} \ of \ f \ is \ either \ equal \ to \n the \ number \ of \ variations \ in \ sign \ of \ f(x) \ or \ less \ than \ that \n number \ by \ an \ even \ integer. \n \n \bullet \ The \ number \ of \ \mathbf{negative \ real \ zeros} \ of \ f \ is \ either \ equal \ to \n the \ number \ of \ variations \ in \ signs \ of \ f(x) \ or \ less \ than \ that \n number \ by \ an \ even \ integer.$

That is, the function:

$f(x)=x^6-x^5-x^4+4x^3-12x^2+12 \n \n \n + \ - \ - \ + \ - \ + \n \n Has \ four \ changes \ in \ sign$

4, 2, or 0 positive roots

On the other hand, the function:

$f(-x)=(-x)^6-(-x)^5-(-x)^4+4(-x)^3-12(-x)^2+12 \n \n f(-x)=x^6+x^5-x^4-4x^3-12x^2+12 \n \n \n + \ + \ - \ - \ - \ + \n \n Has \ 2 \ changes \ in \ sign$