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lina2011 [118]
3 years ago
15

Factor completely 3x^2 − x − 4.

Mathematics
1 answer:
ozzi3 years ago
8 0

3x^2 − x − 4

factor

= (3x − 4)(x + 1)


answer

D. (3x − 4)(x + 1)

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Using graph paper, determine the line described by the given point and slope. Click to show the correct graph below. (0, -2) and
BaLLatris [955]

Answer:

y = -(5/2)x -2

Explanation:

The general formula for a straight line is y – mx + b.

The image below shows the graph of the line.

Step 1. <em>Calculate the slope</em>.

Slope = m = Δy/Δx = (y₂-y₁)/(x₂-x₁)

x₁ = 0; y₁ = -2

x₂ = -2; y₂ = 3     Calculate m

m = [3-(-2)]/(-2-0)

m = (3+2)/(-2)

m = 5/(-2)

m = -5/2

Step 2. <em>Calculate the y-intercept </em>

When x = 0, y = 2.

The y-intercept (b) is at y = -2

Step 3. <em>Write the equation </em>for the graph

y = mx + b

y = -(5/2)x - 2

3 0
3 years ago
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The graph of f(x)=4x^3-13x+9x+2 is shown below. How many roots of f(x) are rational numbers? Quick Please!!!!
mestny [16]

Answer:

All three are rational numbers.

Step-by-step explanation:

I used Desmos (a graphing calculator online) and the roots were all able to be written with fractions.

6 0
3 years ago
Which of the following values of m will result in a true statement when substituted into the given equation?
Solnce55 [7]

Answer:

C. m = 4.1 is the answer

6 0
3 years ago
A trapezoid has four sides with two sides that are the same length. Let the two sides have length x. The longest side has a leng
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fx21

Step-by-step explanation:

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3 years ago
Which calculation could not be used to find the percentage change
bogdanovich [222]

Answer:

Option (B).

Step-by-step explanation:

Percentage change between two numbers a and b can be calculated by the formula,

% change = \frac{|b-a|}{a}\times 100

Where, (b - a) = Change in values

a = Initial value

If a = 16 and b = 20

Percentage change between 16 and 20 will be,

= (\frac{20-16}{16})\times 100

= \frac{4}{16}\times 100

= 25%

If a = 20 and b = 16,

Percentage change = \frac{|16-20|}{20}\times 100

                                 = 20%

Therefore, %change between 16 and 24 may be 16% or 20%.

Option (A),

\frac{20-16}{16}\times 100 = 25%

Option (B),

\frac{20}{16}-1\times 100 = 1.25 - 1 × 100

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Option (C),

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Option (D),

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Therefore, we can not use the calculation used in Option (B).

6 0
3 years ago
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