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Jobisdone [24]
3 years ago
14

Carlos is using the quadratic formula to find the solutions of y=3x^2-5x-2. Which of the following will simplify to the correct

solutions? (options on photo)

Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Answer:

Fx=\frac{5\pm\sqrt{25+24} }{6}

Step-by-step explanation:

A quadratic equation in one variable given by the general expression:

ax^2+bx+c

Where:

a\neq 0

The roots of this equation can be found using the quadratic formula, which is given by:

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

So:

y(x)=3x^2-5x-2=0

As you can see, in this case:

a=3\\b=-5\\c=-2

Using the quadratic formula:

x=\frac{-b\pm\sqrt{b^2-4ac} }{2a}=\frac{-(-5)\pm\sqrt{(-5)^2-4(3)(-2)} }{2(3)}=\frac{5\pm\sqrt{25+24} }{6}

Therefore, the answer is:

Fx=\frac{5\pm\sqrt{25+24} }{6}

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Let X be a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal prob
Akimi4 [234]

Answer:

Yes. Have the same distribution.

Step-by-step explanation:

Given that X is a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal probabilities).

Y is the next day after X

So Y can be written as X+1

But since highest value is 7, we can write

Y = X+1 mod 7

i.e. whenever X=7, Y= 8= 1 again.

Thus Y can take values as

Y  1   2   3   4   5   6   7

P(Y) = P(X+1) = 1/7

i.e. Y also has the same distribution as X

3 0
3 years ago
HELLLLLLP!!!!! PLEASE!!!!
blagie [28]

Answer: Slope: -1    Y-intercept: -4

Step-by-step explanation:

Slope formula:

m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }

m=\frac{-13 -(-6)}{9-2}= m=\frac{-13 + 6}{9-2}  

m=\frac{-7}{7\\}

m = -1

When you draw this on the graph, the y-intercept is -4.

y = -4

4 0
3 years ago
Read 2 more answers
A rock dropped on the moon will increase its speed from 0 m/s (its starting
belka [17]
<h2>Hello!</h2>

The answer is:

The correct option is the option D

g=1.63\frac{m}{s^{2}}

<h2>Why?</h2>

To calculate the acceleration, we need to use the following formula that involves the given information (initial speed, final speed, and time).

We need to use the following free fall equation:

V_{f}=V_{o}-g*t

Where:

V_{f} is the final speed.

V_{o} is the initial speed.

g is the acceleration due to gravity.

t is the time.

We are given the following information:

V_{f}=8.15\frac{m}{s}

V_{o}=0\frac{m}{s}

t=5seconds

Then, using the formula to isolate the acceleration, we have:

V_{f}=V_{o}-g*t

V_{f}=V_{o}-g*t\\\\g*t=V_{o}-V_{f}\\\\g=\frac{V_{o}-V_{f}}{t}

Now, substituting we have:

g=\frac{V_{o}-V_{f}}{t}

g=\frac{0-8.15\frac{m}{s}}{5seconds}=-1.63\frac{m}{s^{2}}

Therefore, since we are looking for a magnitude, we have that the obtained value will be positive, so:

g=1.63\frac{m}{s^{2}}

Hence, the correct option is the option D

g=1.63\frac{m}{s^{2}}

Have a nice day!

7 0
3 years ago
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agasfer [191]

Answer:

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Step-by-step explanation:

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2 years ago
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strojnjashka [21]
Equation- p-6= -14
Answer- p=-14
3 0
3 years ago
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