A line has slope 2/3 and y-intercept -2. Which answer is the equation of the line?A) y=2x+2/3
B) y= -2x+2/3
C) y=2/3x+2
D) y=2/3x -2

Answers

Answer 1
Answer: b. is the correct answer

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Find the solution set of the inequality: -3x + 8 < 15−3x+8<15minus, 3, x, plus, 8, is less than, 15 x

Answers

Answer:

The solution to the inequality is;

x > -7/3

Step-by-step explanation:

We want to find the solution to the inequality;

-3x + 8 < 15

We can have this as;

-3x < 15-8

-3x < 7

x > -7/3

Answer:

x>-7/3

Step-by-step explanation:

Given: 5 > x + 7. Choose the solution set.

{x | x R, x > -2}
{x | x R, x < -2}
{x | x R, x > 2}
{x | x R, x < 2}

Answers

5\ \textgreater \ x+7

Switch sides:

x+7\ \textless \ 5

Subtract 7 from both sides :

x+7-7\ \textless \ 5-7

x\ \textless \ -2

Answer B

{x | x R, x < -2}

hope this helps!

What is the degree of the monomial 5x^12

Answers

The degree would be 12 because whatever value is in the exponent position is the degree
It would be 12, because degrees are identified by the exponent of a term

Proportion: test worth 50 points test score 84%

Answers

\begin{array}{ccc}100\%&-&50\ pts\n\n84\%&-&x\ pts\end{array}\ \ \ |cross\ multiply\n\n100x=50\cdot84\ \ \ \ |divide\ both\ sides\ by\ 100\n\nx=(50\cdot84)/(100)\n\nx=(1\cdot84)/(2)\n\n\boxed{x=42\ (pts)}
50x0.84=42, so 42 points

The first four terms of a sequence are shown below:8, 5, 2, −1

Which of the following functions best defines this sequence? (5 points)

Question 11 options:

1)

f(1) = 8, f(n + 1) = f(n) + 3; for n ≥ 1

2)

f(1) = 8, f(n + 1) = f(n) − 5; for n ≥ 1

3)

f(1) = 8, f(n + 1) = f(n) + 5; for n ≥ 1

4)

f(1) = 8, f(n + 1) = f(n) − 3; for n ≥ 1

Answers

Answer:

4

Step-by-step explanation:

Function notation for implicit forms is written as:

  • f_n is the current term
  • f_(n+1) is the next term

The pattern states 8 subtract 3 = 5. 5 subtract 3 = 2. 2 subtract 3 = -1. we can define the sequence as

current - 3 = next

or using functions notation

f_n-3=f_(n+1) Option 4

Answer:

option4

Step-by-step explanation:

Which equation is quadratic in form?6(x + 2)2 + 8x + 2 + 1 = 0
6x4 + 7x2 – 3 = 0
5x6 + x4 + 12 = 0
x9 + x3 – 10 = 0

Answers

Answer:

Option A is correct

Step-by-step explanation:

We have been given four equations and we need to tell which one of them is quadratic

Case1:

6(x+2)^2+8(x+2)+1

In this we will use the formula (a+b)^2=a^2+b^2+2ab

Here, a=x and b=2

The equation will become 6(x^2+2^2+4x)+8x+16+1

Hence, after simplification equation will become

6x^2+24+24x+8x+16+1

6x^2+32x+41 which is a quadratic equation because quadratic equation is the equation is the equation which has degree 2.

In this equation degree is 2 hence, quadratic

Case2:

6x^4+7x^2-3  is not quadratic since, degree in this equation is 4 not 2

Hence, biquadratic not quadratic

Case3:

5x^6+x^4+12 is not a quadratic equation since, degree in this equation is 6.

Hence, not quadratic

Case4:

x^9+x^3-10 is not quadratic since, degree in this equation is 9

Hence, not quadratic

Therefore, Option A is correct

A quadratic equation is a polynomial with an order of two. Its general form is ax² + bx + c = 0. From the choices given, the first option seems to be the quadratic equation. Simplifying the equation gives 6x² + 18x + 27 = 0.