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jarptica [38.1K]
2 years ago
12

Solve using the quadratic formula. Round answers to the nearest hundredth. 6x^2-14x-9=0

Mathematics
1 answer:
miv72 [106K]2 years ago
7 0

Answer:

use the quadratic formula

Step-by-step explanation:

from the equation a=6 b=-14 c=-9

from the quadratic formula

x = ( - b  {+ or - }   \sqrt{ {b}^{2}  + 4ac} ) \div 2a

therefore insert in the values of a, b and c

x = ( - ( - 14) + or -  \sqrt{ {(  - 14)}^{2}  + 4 \times 6 \times ( - 9)} ) \div 2 \times 6

x=2.858148594

X=-0.52481526

after inserting

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The following diagram represents:
Svetach [21]

Answer:

rgsf

Step-by-step explanation:

4 0
3 years ago
What is 5.72 × 10^3 in standard form?
iVinArrow [24]

Answer: 5,720

Step-by-step explanation: The number shown here 5.72 × 10³ is written in scientific notation since it's composed of a decimal between 1 and 10 in this case 5.72 and a power of 10 in this case 10³. To write 5.72 × 10³ in standard notation, we first begin with 5.72.

Next, we look at the exponent which in this case is positive 3. The exponent tells us to move the decimal point three places to the right.

Finally, we fill in the missing positions with zeros.

Therefore, 5.72 × 10³ written in standard notation is 5,720.

6 0
3 years ago
If 2 1/4 pounds of bananas cost $1.89, what is the cost per pound?
Svetach [21]

Answer:

The cost per pound of bananas is $0.84.

Step-by-step explanation:

The question asks to use the given information to set up a proportion and solve for the missing variable.  In this case, we know that the cost of 2 1/4 (or 2.25) bananas is $1.89.  Since they are asking for cost per pound, we can set up a ratio (fraction):

\frac{1.89}{2.25}=\frac{cost}{pounds}

Since the cost of bananas is the same regardless of the number of pounds, we can set up a proportion to find the cost for just one (1) pound:

\frac{1.89}{2.25}=\frac{x}{1}  Where 'x' is the cost.

Using cross-multiplication and division we get:  2.25x = 1.89.  Next, we use inverse operations to divide both sides by 2.25:  2.25x/2.25 = 1.89/2.25.  Solve:  x = 0.84 or $0.84 per pound.  

6 0
3 years ago
Anybody know this ? Please help :(
Ad libitum [116K]

Answer:

D

Step-by-step explanation:

5.50. 5.50+0.25= 5.75, 5.75+0.25= 6.00, 6.00+0.25= 6.25, 6.25+0.25= 6.50

Option D is the answer:

5.50, 5.75, 6.00, 6.25, 6.50...

5 0
3 years ago
Find the quotient. Write your answer in standard form. : 3-i/3+i
s344n2d4d5 [400]
The answer is <span>C. 4/5 - 3/5 i
</span>
\frac{3-i}{3+i} = \frac{(3-i)(3-i)}{(3+i)(3-i)} \\  \\ &#10;(a+b)(a-b) =  a^{2} -b^{2}  \\  \\ &#10;\frac{(3-i)(3-i)}{(3+i)(3-i)}= \frac{ (3-i)^{2} }{3^{2}-i^{2} } \\  \\ &#10;(a-b)^{2} =a^{2}-2ab+b^{2} \\  \\ &#10; \frac{ (3-i)^{2} }{3^{2}-i^{2} } = \frac{3^{2}-2*3*i+i^{2}  }{3^{2}-i^{2} } = \frac{9-6i+i^{2}}{9-i^{2}}  \\  \\ &#10;i =  \sqrt{-1}  \\ i^{2}=-1 \\  \\ &#10;\frac{9-6i+i^{2}}{9-i^{2}} = \frac{9-6i-1}{9+1} = \frac{8-6i}{10}= \frac{8}{10}- \frac{6i}{10}= \frac{4}{5}- \frac{3}{5}i
8 0
3 years ago
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