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adoni [48]
3 years ago
10

Find the value of the lesser root of x2 - 7x + 12 = 0. A) -3 B) -1 C) 1 D) 3

Mathematics
2 answers:
kvv77 [185]3 years ago
8 0
The answer to your question is D) 3
icang [17]3 years ago
6 0

Answer:

x_1 = \frac{-(-7) - \sqrt{(-7)^2 -4(1)(12)}}{2(1)}= \frac{7-1}{2}= 3

x_2 = \frac{-(-7) + \sqrt{(-7)^2 -4(1)(12)}}{2(1)}= \frac{7+1}{2}= 4

So then since we want the lesser root the correct answer on this case is:

D) 3

Step-by-step explanation:

For this case we have the followin expression:

x^2 -7x +12=0

For this case we can use the quadratic formula in order to solve it, given by:

x = \frac{-b \pm \sqrt{b^2 -4ac}}{2a}

And on this case a = 1, b = -7, c = 12. And if we replace we got:

x_1 = \frac{-(-7) - \sqrt{(-7)^2 -4(1)(12)}}{2(1)}= \frac{7-1}{2}= 3

x_2 = \frac{-(-7) + \sqrt{(-7)^2 -4(1)(12)}}{2(1)}= \frac{7+1}{2}= 4

So then since we want the lesser root the correct answer on this case is:

D) 3

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Expand and simplify (y-3)³​
Tanya [424]

Answer:

Expanded: (y-3)(y-3)(y-3)

Simplified:  y^{3}-9y^{2}+27y-27

Step-by-step explanation:

Expanded: (y-3)(y-3)(y-3)

Simplified:

y^{2} -3y-3y+9(y-3)\\y^{2} -6y+9(y-3)

y^{3} -3y^{2}-6y^{2}  +18y+9y-27

y^{3}-9y^{2} +27y-27

5 0
3 years ago
In an article about the cost of health care, USA Today reported that a visit to a hospital emergency room has a mean cost of $14
Misha Larkins [42]

Answer: 0.8461

Step-by-step explanation:

Given : \mu=144\ \ ; \sigma=392

Let x be the random variable that represents the cost for the hospital emergency room visit.

We assume that cost for the hospital emergency room visit is normally distributed .

z-score for x=1000 ,

z=\dfrac{1000-1400}{392}\approx-1.02\ \ \ [\because z=\dfrac{x-\mu}{\sigma}]

Using z-value table , we have

P-value =P(x>1000)=P(z>-1.02)=1-P(z≤ -1.02)=1-0.1538642

=0.8461358≈0.8461  [Rounded nearest 4 decimal places]

Hence, the probability that the cost will be more than $1000 = 0.8461

3 0
3 years ago
Which value from the set {3, 8, 9, 14} makes the equation true?
garik1379 [7]

the answer would be 8.

2 times 8 = 16 minus 5 = 11

7 0
3 years ago
What is the soultion to the linear system y=2x and y=x+4
uranmaximum [27]

Answer:

x = 4; y = 8

Step-by-step explanation:

y=2x

y=x+4

2x = x + 4

x = 4

y = 2x = 2(4)

y = 8

Solution: x = 4; y = 8

5 0
2 years ago
Please help me
Hatshy [7]

Answer:

$2 for 1 rose bush and $2 for one shrub

Step-by-step explanation:

32=2x+14y

26=11x+2y

32=2(2)+14(2)

32=4+28

32=32

26=11(2)+2(2)

26=22+4

26=26

Since both equations come out correct the cost of 1 rose bush is 2 dollars and the cost of one shrub is 2 dollars. kinda cool

6 0
3 years ago
Read 2 more answers
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