We have the following equation:
3x2 + 7x + 4 = 0
Using the resolver we have:
x = (- b +/- root (b2 - 4ac)) / 2a
Substituting values we have:
x = (- (7) +/- root ((7) 2 - 4 (3) (4))) / 2 (3)
Rewriting:
x = (- 7 +/- root (49 - 48)) / 6
x = (- 7 +/- root (1)) / 6
x = (- 7 +/- 1) / 6
The results are:
x = (- 7 + 1) / 6 = -6/6 = -1
x = (- 7 - 1) / 6 = -8 / 6 = -4/3
Answer:
x = -1
x = -4/3
option C and D

8 0

2 years ago

Read 2 more answers

Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.

artcher [175]

Question is Incomplete;Complete question is given below;

Brian's gross earnings for the week of July 8, 2019, are $1227.38. His deductions comprise 23% of his total compensation.

What is his net pay?

Enter the answer to the nearest hundredth, such as $1234.56.

Answer:

Brian's Net pay is $945.08.

Step-by-step explanation:

Given:

Gross earnings for the week = $1227.38

Deductions = 23%

We need to find the net pay.

Solution:

First we will find the amount deducted.

amount deducted is equal to Deductions on Gross pay.

framing in equation form we get;

amount deducted = $\frac{23}{100}\times 1227.38 = \$282.2974$

Now we can say that;

Net pay is equal to Gross earnings minus amount deducted in tax.

framing in equation form we get;

Net pay = $1227.38-282.2974 = \$945.0826$

Rounding to nearest hundred we get;

Net pay = $945.08

Hence Brian's Net pay is $945.08.

6 0

2 years ago

Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point (−5,8).

Fantom [35]

Answer: y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form: y = (5/9)x+(8/9). [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5). The y-intercept would also change, but we don't know the value, yet. For now, we'll use "b" for the y-intercept. This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point (−5,8) is

y = -(9/5)x - 1

7 0

2 years ago

What is the greatest common factor of 32 and 56

alina1380 [7]

Answer:

Step-by-step explanation:

List the factors of each number

The factors of 32 are: 1, 2, 4, 8, 16, 32

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

Separate and find the GCF

Then the greatest common factor is 8.

Thanks for letting me help!!

4 0

2 years ago

Read 2 more answers

Sebastian buys a gift which costs £18.20 He pays with a £20 note. (a) How much change does he receive?​

Sebastian buys a gift which costs £18.20 He pays with a £20 note. (a) How much change does he receive?