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3 years ago

12

PLEASE HELP WITH THIS ONE QUESTION

1 answer:

Snezhnost [94]3 years ago

8 0

Answer:

The fourth option.

Step-by-step explanation:

In the given equation x^2 + 4x + 9 = 0, a=1, b=4, and c=9. The quadratic formula is in the attachment below so if you plug in a, b, and c you get the fourth option.

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I need help... how do you solve this? I'm so sorry i just dont understand it

Novosadov [1.4K]

I need a question or a problem to solve??

6 0

3 years ago

Given the following three points, find by the hand the quadratic function they represent (0,6, (2,16, (3,33)

Lisa [10]

Answer:

$f(x) = 4x^2 - 3x + 6$

Step-by-step explanation:

Quadratic function is given as $f(x) = ax^2 + bx + c$

Let's find a, b and c:

Substituting (0, 6):

$6 = a(0)^2 + b(0) + c$

$6 = 0 + 0 + c$

$c = 6$

Now that we know the value of c, let's derive 2 system of equations we would use to solve for a and b simultaneously as follows.

Substituting (2, 16), and c = 6

$f(x) = ax^2 + bx + c$

$16 = a(2)^2 + b(2) + 6$

$16 = 4a + 2b + 6$

$16 - 6 = 4a + 2b + 6 - 6$

$10 = 4a + 2b$

$10 = 2(2a + b)$

$\frac{10}{2} = \frac{2(2a + b)}{2}$

$5 = 2a + b$

$2a + b = 5$ => (Equation 1)

Substituting (3, 33), and c = 6

$f(x) = ax^2 + bx + x$

$33 = a(3)^2 + b(3) + 6$

$33 = 9a + 3b + 6$

$33 - 6 = 9a + 3b + 6 - 6$

$27 = 9a + 3b$

$27 = 3(3a + b)$

$\frac{27}{3} = \frac{3(3a + b)}{3}$

$9 = 3a + b$

$3a + b = 9$ => (Equation 2)

Subtract equation 1 from equation 2 to solve simultaneously for a and b.

$3a + b = 9$

$2a + b = 5$

$a = 4$

Replace a with 4 in equation 2.

$2a + b = 5$

$2(4) + b = 5$

$8 + b = 5$

$8 + b - 8 = 5 - 8$

$b = -3$

The quadratic function that represents the given 3 points would be as follows:

$f(x) = ax^2 + bx + c$

$f(x) = (4)x^2 + (-3)x + 6$

$f(x) = 4x^2 - 3x + 6$

6 0

4 years ago

Please help!!!!! <br><br><br> Split using partial fraction decomposition

Rama09 [41]

Answer:

11

Step-by-step explanation:

11

6 0

3 years ago

!PLEASE HELP!<br>Solve for MN. <br><br>A) 21 <br><br>B)9 <br><br>C)6 <br><br>D)4

Oksanka [162]

The measure of MN from the diagram is 6

<h3>Similarity theorem of triangles</h3>

From the given triangle, the expression below is true;

ML/LK = MN/NO

Given the following parameters

ML = 4

LK = 10

NO= 15

Substitute the given parameters into the formula

4/10 = MN/15

Cross multiply

10MN = 4 * 15

10MN = 60

MN = 6

Hence the measure of MN from the diagram is 6

Learn more on similar triangles here: brainly.com/question/14285697

7 0

2 years ago

a pet store has 7 cats here are their weights 12, 12, 9, 16, 11, 11, 9 find the mean weighy of these cats

shusha [124]

Answer:

The mean weight of the cats is 11.42 (rounded)

Step-by-step explanation:

To find the mean, you add up all the weights (12, 12, 9, 9, 11, 11, 16) and then divided the sum (80) of the weights by the number of cats (7)

12+12+9+9+11+11+16= 80

80 ÷ 7= 11.42857143 (I rounded my answer to 11.42)

I hope this was helpful. Have a wonderfull rest of your day!

5 0

3 years ago