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timofeeve [1]
3 years ago
13

For each diagram, decide if y is an increase or a decrease of x. Then determine the percentage.

Mathematics
1 answer:
eimsori [14]3 years ago
6 0
Answer:
In A: y is a 25% decrease of x
In B: y is a 25% increase of x
Step-by-sep explanation:
For A:
The diagram in A shows that x = 4, while y = 3.
Thus, this means that y decreased by 1, relative to x.
The percentage decease would be:


Therefore, y is a 25% decrease of x.
For B:
The diagram for B shows that x = 4, while y = 5.
Thus, this means that y increased by 1, relative to x.
The percentage increase would be:


Therefore, y is a 25% increase of x.







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3 years ago
Choose the expression that represents a quadratic expression. 9x − 2 5x2 9x − 1 −2x3 8x2 − 7x 1 x4 − 12x3 8x2 − 7x 1
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<u>5x² + 9x - 1</u><u> is  the expression that represents a </u><u>quadratic expression</u><u>.</u>

What is  quadratic expression?

  • Quadratic expression is an expression with the variable with the highest power of 2.
  • The word quadratic is derived from the word quad which means square.
  • The expression should have the power of two and not higher or lower.

A quadratic expression is of the form

ax² + bx +c = 0                    where a ≠ 0

The give options are-

9x - 2

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From the given options, the only expression which is quadratic is

5x² + 9x - 1

wChoose the expression that represents a quadratic expression. 9x − 2 5x2 9x − 1 −2x3 8x2 − 7x 1 x4 − 12x3 8x2 −here a =5, b=9 and c=-1

Therefore, 5x² + 9x - 1 is  the expression that represents a quadratic expression.

Learn more about  quadratic expression.

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5 0
2 years ago
Line CD passes through points C(1, 3) and D(4, –3). If the equation of the line is written in slope-intercept form, y = mx + b,
enot [183]

Answer:

b = 5

Step-by-step explanation:

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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y = - 2x + b ← is the partial equation of the line

To find b substitute either of the 2 points into the partial equation

Using (1, 3), then

3 = - 2 + b ⇒ b = 3 + 2 = 5

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