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Kipish [7]
2 years ago
6

Write down the equation of a straight line that is parallel to y = 4x+2

Mathematics
1 answer:
ELEN [110]2 years ago
4 0

Answer:

y = 4x + 5

Step-by-step explanation:

anything with the slope of 4x is parallel to the given equation. therefore, there are an infinite amount of answers.

<u>so, y = 4x + any number</u>

hope this helps!<3

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The function y = f (x) is graphed below. What is the average rate of change of the function f(x) on the interval - 1 ≤ x ≤ 3?
jonny [76]

Answer:

\displaystyle -2

General Formulas and Concepts:

<u>Pre-Algebra</u>

Order of Operations: BPEMDAS

  1. Brackets
  2. Parenthesis
  3. Exponents
  4. Multiplication
  5. Division
  6. Addition
  7. Subtraction
  • Left to Right

<u>Algebra I</u>

  • Average Rate of Change: \displaystyle \frac{f(b) - f(a)}{b - a}

Step-by-step explanation:

<u>Step 1: Define</u>

Interval -1 ≤ x ≤ 3

a = -1, b = 3

f(a) = f(-1) = 4

f(b) = f(3) = -4

<u>Step 2: Find Average</u>

  1. Substitute in variables [ARC]:                     \displaystyle \frac{f(3) - f(-1)}{3 + 1}
  2. Substitute:                                                   \displaystyle \frac{-4 - 4}{3 + 1}
  3. [Fraction] Subtract/Add:                             \displaystyle \frac{-8}{4}
  4. [Fraction] Divide:                                        \displaystyle -2
4 0
2 years ago
Which of the following is the correct factorization of the polynomial below?<br> x3 + 14x2 + 49x
Naddika [18.5K]

For this case we must factor the following polynomial:

x ^ 3 + 14x ^ 2 + 49x\\

We can take common factor x:

x(x ^ 2+ 14x + 49)

To factor the expression within the parenthesis, we must find two numbers that when multiplied give 49 and when added together, 14 are obtained. These are: 7 and 7.

7*7=49,7+7=14

Thus, the expression is factored as:

x(x + 7)(x +7)

Answer:

x (x + 7) ^ 2

7 0
3 years ago
Read 2 more answers
Find the slope of the line passing through the points (-2,5) and (3/2, 2).
sveticcg [70]

Answer:

The answer is

<h2>-  \frac{6}{7}</h2>

Step-by-step explanation:

The slope of the line passing through two points can be found by using the formula

<h3>m =   \frac{y2 - y1}{x2 - x1}</h3>

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (-2,5) and (3/2, 2)

The slope is

<h3>m =  \frac{2 - 5}{ \frac{3}{2}  + 2}    \\  =   -  \frac{3}{ \frac{7}{2} }  \\  = -  3 \div  \frac{7}{2}  \\  =  - 3 \times  \frac{2}{7}</h3>

We have the final answer as

<h3>-  \frac{6}{7}</h3>

Hope this helps you

8 0
3 years ago
Tim added two fractions with denominators of 4 but with different numerators. The sum was 3 over 4. Which two fractions did Tim
puteri [66]

Answer:

It could be 2/4+1/4

2+1=3 and they both have a denominator of 4

4 0
2 years ago
1
NikAS [45]

9514 1404 393

Answer:

  1.0 N

Step-by-step explanation:

When the length increases by the factor 120/80 = 3/2, the force required is multiplied by the inverse of this: 2/3.

The required force is ...

  (2/3)(1.5 N) = 1.0 N

5 0
3 years ago
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