MATHEMATICS HIGH SCHOOL

Find the equation of a line that passes through the point (3,2) and has a gradient of - 1/3Leave your answer in the form y=mx + c​

Answers

Answer 1
Answer:

Answer:

  y = -1/3x +3

Step-by-step explanation:

When given a point and slope, it is convenient to start with a point-slope form of the equation of a line.

  y = m(x -h) +k . . . . . line with slope m through point (h, k)

  y = (-1/3)(x -3) +2 . . . line with slope -1/3 through point (3, 2)

  y = -1/3x +3 . . . . . . . simplified to slope-intercept form

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How do you solve polynomial equation by factoring
2x^3 - 12x^2 = 32x - 192

Answers

2x^3 - 12x^2 = 32x - 192\n2x^3-12x^2-32x+192=0\n2(x^3-6x^2-16x+96)=0\n2(x^2(x-6)-16(x-6))=0\n2(x^2-16)(x-6)=0\n2(x-4)(x+4)(x-6)=0\nx=4 \vee x=-4 \vee x=6

A fish tank at a pet store has 8 zebra fish. in how many different ways can Nikki choose 3 zebra fish? A.512 B. 336 C. 24 D. 56 I got 24 is it right?

Answers

56 is the answer because
8*7*6/3*2

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.

Write this polynomial in standard form:8x² - 4x³ + 12 - 5x

options:
(1.) 4x³ + 8x² - 5x + 12

(2.) -4x³ + 8x² - 5x + 12

(3.) 12 - 5x + 8x² - 4x³

(12.) - 4x³ + 8x² - 5x

Answers

I would believe it is number 3

Match the result of solving an equation to the number of solutions the equation has3 = 3
no solution
6 = 3
infinitely many solutions
one solution
x=3

Answers

Answer:

x=3 is one solution

3=3 has infinitely solutions

6=3 has one solutions.

Step-by-step explanation:

I got it correctt on Edg.

Answer: x = 3 one solution

3=3 infinitely many solutions

6=3 no solution

Find the missing side of the triangle. Round to nearest tenth if needed.

Answers

Answer:

6.7

Step-by-step explanation:

6.7 because 3.4 is way to small 7.9 would be close but not the  right length and 8.5 is way too long to be on the bottom.

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