All categories

3 years ago

How many real number solutions does the equation have 0=5x^2+2x-12

2 answers:

7 0

Rearrange the equation to standard form of a quadratic equation (ax^2+bx+c=0) by switching sides: 5x^2+2x-12=0. Now, use the quadratic equation formula to solve. You should come out with x_1=sqrt61-1/5 and x_2=-1+sqrt61/5. Thus, your answer is B, or two solutions.

aniked [119]3 years ago

3 0

Answer:

A. two solutions

Step-by-step explanation:

To find the number of real solutions the equation is having, we need to solve first;

0=5x²+2x-12

This equation can be re-written as;

5x²+2x-12 = 0

We will use the formula method to solve

Using formula method;

x = -b ±√b² - 4ac / 2a

From the equation given,

a = 5 b = 2 and c=-12

x = -2 ± √2² - 4(5)(-12) / 2(5)

x = -2 ± √4 + 240 / 10

x = -2/10 ± √244 /10

x = $\frac{-1}{5}$ ± 1.56

x = - 0.2 ± 1.56

Either x = -0.2 + 1.56 or x = -0.2 - 1.56

Either x = 1.36 or x = -1.76

Therfore, this equation have two real number solutions

You might be interested in

The table shows values of f(x) What is f(2)? f(x) = 4, 2, 3, 9, 1 x= 0, 1, 2, 3, 4

Artyom0805 [142]

I’m confused ???can you post the table that they provide you with?

3 0

3 years ago

Make g the subject p=5gh

balandron [24]

When rearranging or transposing an equation, you always have to try and get the letter you want on its own by doing the opposite of each step on both sides. In this case it is g:

p= 5gh

Because g is being multiplied by 5 and h, you'd want to divide by 5 and h to get g on its own: (division is represented by the slashes / ).

p= 5gh/5h

Now you can cross off 5h completely from the right side of the equation because they cancel out.

p/5h = g

Because you did that, you have to do it on the other side too so that is why it is P/5h on the left.

So g = p divided by 5h.

Hope that helped!!!

7 0

3 years ago

720 pt in a hour converted to quarts in a min

Strike441 [17]

1 quart = 2 pints

720/2 = 360 quarts per hour

1 hour = 60 minutes

360/60 = 6 quarts per minute

3 0

3 years ago

Men are believed to have a slightly longer average length of short hospital stays than women; 5.2 days versus 4.5 days respectiv

Georgia [21]

Answer:

Since our calculated value is lower than our critical value, $z_{calc}=2.02$ , we have enough evidence to FAIL to reject the null hypothesis at 1% of singificance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

Step-by-step explanation:

1) Data given and notation

$\bar X_{1}=5.2$ represent the mean for group men

$\bar X_{2}=4.5$ represent the mean for group women

Assuming these values for the remaining data:

$\sigma_{1}=1.2$ represent the population standard deviation for the sample men

$\sigma_{2}=1.5$ represent the population standard deviation for the sample women

$n_{1}=32$ sample size for the group men

$n_{2}=30$ sample size for the group women

z would represent the statistic (variable of interest)

$p_v$ represent the p value

2) Concepts and formulas to use

We need to conduct a hypothesis in order to check if the mean for men it's higher than the mean for women, the system of hypothesis would be:

H0: $\mu_{1} \leq \mu_{2}$

H1: $\mu_{1} > \mu_{2}$

If we analyze the size for the samples both are higher than 30, and we know the population deviation's, so for this case is better apply a z test to compare means, and the statistic is given by:

$z=\frac{\bar X_{1}-\bar X_{2}}{\sqrt{\frac{\sigma^2_{1}}{n_{1}}+\frac{\sigma^2_{2}}{n_{2}}}}$ (1)

z-test: Is used to compare group means. Is one of the most common tests and is used to determine whether the means of two groups are equal to each other.

3) Calculate the statistic

We have all in order to replace in formula (1) like this:

$z=\frac{5.2-4.5}{\sqrt{\frac{1.2^2}{32}+\frac{1.5^2}{30}}}=2.02$

4) Find the critical value

In order to find the critical value we need to take in count that we are conducting a right tailed test, so we are looking on the normal standard distribution a value that accumulats 0.01 of the area on the right and 0.99 of the area on the left. We can us excel or a table to find it, for example the code in Excel is:

"=NORM.INV(1-0.01,0,1)", and we got $z_{critical}=2.33$

5) Statistical decision

Since our calculated value is lower than our critical value, $z_{calc}=2.02$ , we have enough evidence to FAIL to reject the null hypothesis at 1% of significance. So there is not nough evidence to conclude that mean for men it's significantly higher than the mean for female.

6 0

3 years ago

Which of the following is true about the expression 3 Squared times 12 squared

ololo11 [35]

Answer:

Step-by-step explanation:

the expression would look like this: 3^2 x 12^2

3 squared is 9 (3 x 3)

12 squared is 144 (12 x 12)

3 0

3 years ago