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3 years ago

Write the equation in standard form. Then factor the left side of the equation. 3x2 + 19x = 14

Mathematics

2 answers:

solong [7]3 years ago

7 0

3x^2+19x-14=0 Standard form
(3x-2)(x+7)=0 Factored

Airida [17]3 years ago

6 0

Answer:

Standard form of the equation, $3x^2+19x-14=0$

Factor of the equation is, $(x+7)(3x-2)=0$

Step-by-step explanation:

The standard form of the quadratic equation is given as

$Ax^2+Bx+C = 0$

Given the equation:

$3x^2+19x = 14$

Subtract 14 from both sides we have;

$3x^2+19x-14=0$

⇒The standard form of the equation is, $3x^2+19x-14=0$

Now, find the factor of the given equation:

$3x^2+19x-14=0$

⇒ $3x^2+21x-2x-14=0$

⇒ $3x(x+7)-2(x+7) = 0$

⇒ $(x+7)(3x-2)=0$

Therefore, the factor of the equation is, $(x+7)(3x-2)=0$

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2 years ago

Find the percent of decrease. Round to the nearest tenth, if necessary. from 49 ft to 22 ft

Marta_Voda [28]

Decrease = (original number - new number) / original number .....x 100
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(27 / 49) * 100 =
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4 0

3 years ago

Leap years are years in which February has 29 days instead of 28. The device of leap year was invented to keep the calendar in s

goldenfox [79]

Answer:

As you know, a year has around 365 + 1/4 days.

This means that in two years, we have:

365 + 356 + 1/4 + 1/4 = 730 + 1/2

and so on.

adding this up, when we have 4 years we have a full day extra, this is:

1460 + 1

When we divide 1461 by 4, we have 365 with a surpass of 1.

The rule used to keep the calendar in sync with this extra day is adding an extra day to each fourth year.

So each fourth year, we have an extra day in Februray (the Februray 29th), this is called a bisiest year.

The "math rule" used to know if a year is leap or not is:

if a year is not divisible by 4, then it is a common year

else if the year is not divisible by 100 then it is a leap year,

else if the year is not divisible by 400, then it is a common year

if not, the year is a leap year.

Where "year" represents the number of the year.

8 0

2 years ago

A trade magazine routinely checks the drive-through service times of fast-food restaurants. Upper AA 9595% confidence interva

Butoxors [25]

Answer:

One can be 95% confident that the drive-through service times of fast-food chain is between 169 seconds and 172 seconds.

Step-by-step explanation:

The confidence interval gives a range of value for the population mean or parameter, which is calculated from the statistic value of the data (that is sample statistic). This range gives the interval which is associated with a certain level of confidence for which the interval will contain the true value of the unknown parameter (true value). In the scenario above, the associated confidence level is 95%.Hence, we can be 95% confident that the true value will be continued with the interval (169 ; 172)

6 0

3 years ago

4. In slope-intercept form, what is the equation of a line perpendicular toy - 2x + 7 that passes

Phoenix [80]

Answer:

y = (-1/2)x + 21/2

Step-by-step explanation:

Given equation:

y - 2x + 7

Coordinates = (5,8)

Find:

Perpendicular equation

Computation:

y = mx + c

y - 2x + 7

y = 2x - 7

So,

m = 2

The negative reciprocal of 2 is -1/2

So,

For,

Coordinates = (5,8)

y = mx + c

8 = (-1/2)(5) + c

8 = -5/2 + c

c = 8 + 5/2

c = 21 /2

So,

y = mx + c

y = (-1/2)x + 21/2

7 0

3 years ago