Yolanda owns 4 rabbits. She expects the number of rabbits to double every year.

What are the roots of the quadratic equation 2x2+7x+4=0? Select all that apply.

skad [1K]

Answer:

option A and B

$x=\frac{-7+\sqrt{17}} {4}$

and

$x=\frac{-7-\sqrt{17}} {4}$

Step-by-step explanation:

we have

$2x^2+7x+4=0$

The formula to solve a quadratic equation of the form

$ax^{2} +bx+c=0$

is equal to

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

in this problem we have

$2x^2+7x+4=0$

so

$a=2\\b=7\\c=4$

substitute in the formula

$x=\frac{-7\pm\sqrt{7^{2}-4(2)(4)}} {2(2)}$

$x=\frac{-7\pm\sqrt{17}} {4}$

so

$x=\frac{-7+\sqrt{17}} {4}$

and

$x=\frac{-7-\sqrt{17}} {4}$

7 0

2 years ago

What is the slope-intercept form of the equation of the line shown in the graph?

Rom4ik [11]

C
the correct answer would be c

3 0

2 years ago

Read 2 more answers

A poll asked 1057 American adults if they believe there was a conspiracy in the assassination of President Kennedy, and found th

AVprozaik [17]

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is $0.551< p < 0.610$

Step-by-step explanation:

From the question we are told that

The sample size is n =1057

The number that believe there was a conspiracy is k = 614

Generally the sample proportion is mathematically represented as

$\^ p = \frac{614}{1057 }$

=> $\^ p = 0.5809$

From the question we are told the confidence level is 95% , hence the level of significance is

$\alpha = (100 - 95 ) \%$

=> $\alpha = 0.05$

Generally from the normal distribution table the critical value of $\frac{\alpha }{2}$ is

$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} }$

=> $E = 0.02975$

Generally 95% confidence interval is mathematically represented as

$\^ p -E < p < \^ p +E$

=> $0.5809 - 0.02975< p < 0.5809 + 0.02975$

=> $0.551< p < 0.610$

4 0

2 years ago

Choose the correct equation in the form y = mx + b

DedPeter [7]

To help you we need the answer choices

6 0

3 years ago

The area of circle 1 is 6 square units. The area of circle 2 is 7 square units. Which of the following is true about the circumf

miskamm [114]

Answer:

C. The circumference of circle 1 is less than the circumference of circle 2.

Step-by-step explanation:

6<7

We know that the formula for the area of a circle is πr². This means the greater the radius, the greater the area.

We also know that the formula for circumference is 2πr. It is also dependent on radius. The greater the radius, the greater the circumference.

Given that Circle 2 has a greater area, this means that it has a greater radius which in turn means that it has a greater circumference.

C. The circumference of circle 1 is less than the circumference of circle 2.

5 0

1 year ago

Read 2 more answers