Write the equation in standard form. Then factor the left side of the equation. 3x2 + 19x = 14
2 answers:
Answer:
Standard form of the equation,
Factor of the equation is,
Step-by-step explanation:
The standard form of the quadratic equation is given as
Given the equation:
Subtract 14 from both sides we have;
⇒The standard form of the equation is,
Now, find the factor of the given equation:
⇒
⇒
⇒
Therefore, the factor of the equation is,
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Answer:
5.5%
Step-by-step explanation:
To solve this problem we can use a modified version of the simple interest formula which is shown below:
<em>I = interest amount</em>
<em>P = principal amount</em>
<em>t = time (years)</em>
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The first step is to find the interest gained from the investment.
Next, plug in the values into the equation:
Multiply the bottom values
Divide the values
The last step is to convert 0.055 into a percent:
The interest rate is 5.5%
Answer:
y = - x + 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Rearrange - 4x + 4y = 4 into this form by adding 4x to both sides
4y = 4x + 4 ( divide all terms by 4 )
y = x + 1 ← in slope- intercept form
with slope m = 1
given a line with slope m then the slope of a line perpendicular to it is
= -
= -
= - 1, thus
y = - x + c ← is the partial equation
To find c substitute (- 4, 5) into the partial equation
5 = 4 + c ⇒ c = 5 - 4 = 1
y = - x + 1 ← equation of perpendicular line