Suppose a quadratic equation has the form x^2 + x + c = 0. Show that the constant c must be less than 1/4 in order for the equation to have two real solutions.

Answer:

650 * (1.01)ˣ = P(x)

Step-by-step explanation:

One formula for exponential growth is

a*bˣ, where x represents time, a represents the initial amount, and b represents the growth rate. We have 650 as our initial amount because x is the number of years after 2000, and there are 650 moose in 2000. Then, we have

650 * b¹⁰ = 750 because, after 10 years, the moose population is 750. Solving for b, we have

750/650 = b¹⁰

(750/650)^(1/10) = b

= 1.01441296377 (can round this to 1.01)

Therefore, after x years, the moose population can be represented by the equation

650 * (1.01)ˣ

6/12, 1/2, 10/20, 5/10,

Answer:

Step-by-step explanation:

The company's expectation is $486.26.

Since the probability that an 80-year-old male in the U.S. will die within one year is approximately 0.069941, to determine, if an insurance company sells a one-year, $ 12,000 life insurance policy to such a person for $ 495, what is the company's expectation, the following calculation must be performed:

Therefore, the company's expectation is $486.26.

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Answer:

For 5.) I believe the slope is 3/5, for 6.) the slope is -2/8 (-1/4 when simplified) and the y-int is 2, for 7.) the slope is 6/2 (3/1 when simplified), for 8.) the slope is -2/4 (-1/2 when simplified) + the y-int is -3, and for 9.) the slope is 1/6.

Step-by-step explanation:

5.) the slope is 3/5 because it rises 3 and runs 5 (from the two plotted points)

6.) the slope is -2/8 (-1/4) because from the two points, it runs 8 and drops 2 (so -2) + when simplified its -1/4 because -2/8 divided by 2 on top and bottom would get you -1/4. And y-int is 2 because on the y-axis, the line is going through 2.

7.) the slope is 6/2 (3/1) because it rises 6 points and runs 2 (from the two points) and when simplified (6/2 divided by 2 on both top and bottom) would get you 3/1.

8.) the slope is -2/4 (or -1/2) because it runs 4 and drops 2 (which would be -2), and when simplified it gets you -1/2.

9.) the slope is 1/6 because between the two points, you rise one and run 6. Which gets you 1/6

Not sure if these are all correct, but I hope this helps :)!

Step-by-step explanation:

equate the two equations

Answer:

1200

0.0012

56000

0.00056

120

0.012

560

0.0056

Step-by-step explanation:

Answer: 12

Step-by-step explanation: there are 60 minutes in an hour. 60/5=12

Answer:

  2√2

Step-by-step explanation:

The area ratio is the square of the side length ratio, so the ratio of side lengths is √2.

The volume ratio is the cube of the side length ratio, so the new cube has a volume that is (√2)³ times that of the original.

The volume ratio is 2√2.

Answer:

Step-by-step explanation:

If [tex]f^{-1}(x)[/tex] is the inverse of f(x), then

[tex]f\left(f^{-1}(x)\right) = x[/tex]

By definition of f(x), we have

[tex]f\left(f^{-1}(x)right) = 6f^{-1}(x) + 4 = x[/tex]

Solve for the inverse :

[tex]6f^{-1}(x) + 4 = x[/tex]

[tex]6f^{-1}(x) = x - 4[/tex]

[tex]f^{-1}(x) = \dfrac{x-4}6[/tex]

which makes C the correct choice.

Answer:

11.5% and 3.75%

Step-by-step explanation:

since 1.15 is greater than 1, we assume that its taken out of 10

therefore its percent will be 1.15/10*100=11.5%

as for 3/8 (0.375) its less than 1, so we assume its taken out of 1, therefore 0.375/1*100=3.75%

Answer:

5 miles

Step-by-step explanation:

add the points together.

it seems like each point is how many miles they ran each day.

1/4 + 2(1/2) + 3/4 + 3(1) = 5

Answer:

rubbing it against your hair it causes friction and with friction comes energy

Answer:

132

Step-by-step explanation:

corresponding angles are the same

Answer:

(4.5)(5)(−2) = (-9) × 5

= -45

Answer:

-45

Step-by-step explanation:

[tex](4.5)(5)(-2)\\\\22.5(-2)\\\\-45[/tex]

Answer:

1/5

Step-by-step explanation:

First and foremost, I want to simplify these fractions, just to make everything a lot easier when I actually get to dividing. 5/50 can be divided by 5/5 to get 1/10, and 15/30 can be divided by 15/15 to get 1/2. So, now we're dividing 1/10 by 1/2.

To divide fractions, we can multiply the first fraction (in this case, 1/10) by the reciprocal of the second fraction (in this case, 1/2). The reciprocal of 1/2 is 2, so we can multiply 1/10 by 2 to find our answer. 1/10 × 2 = 2/10, or 1/5, so this is our final answer.

Hopefully that's helpful! If you have any further questions, let me know. :)

The quotient of given fractions is 1/5.

Given that, 5/50 divided by 15/30.

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

Now, 5/50 ÷ 15/30

Keep the first fraction 5/50 same change the division symbol and reciprocate the fraction 15/10

That is, 5/50 × 30/15

= 1/10 × 2/1

= 2/10

= 1/5

Therefore, the quotient of given fractions is 1/5.

To learn more about the fractions visit:

https://brainly.com/question/1301963.

#SPJ2

Answer:

29.455

Step-by-step explanation:

add the inches of fabric together and divide by the total number of players and coaches

Answer:

go left for times and go down 7 .

Step-by-step explanation:

Answer:

(-4,7)

Step-by-step explanation:

I hope this helps :)

Answer:

Only option A is correct

Step-by-step explanation:

Positive numbers are always greater than negative numbers no matter the quantities. Also, the greater the negative number is, the less it becomes.

Hope this helps :D

Answer:

56

Step-by-step explanation:

Answer:

a. 125

Step-by-step explanation:

the angle labeled "x" is supplementary with the angle that has a measure of 55°

Supplementary angles add up to equal 180°

This means that x + 55 must equal 180

Note that we've just created an equation that we can use to solve for x.

We now solve for x using the equation we just created.

x + 55 = 180

subtract 55 from both sides

x = 125

The answer is a

Answer:

7 and 4

Step-by-step explanation:

If you set up a rectangle you get an area of 28 cm^2

4x7=28

the base is 7 cm

the height is 4 cm

Answer: Choice A

Step-by-step explanation: You are given the inequality g is less than or equal to. Greater/less than and equal to, you use solid circle. Greater/less than, you use open circle. From there, you just look at the inequality in which direction is it going at and from there, you should be able to select your choice which happens to be the first one.

I hope this explanation helps.

Best to you!

Answer:

Step-by-step explanation:

If the picking is random, there are 4 chances out of a possible 13 options.

4/13

Answer:

it would take 30k minutes, equivalent to 500 hours/almost 21 days/almost 3 weeks

Step-by-step explanation:

Answer:

(-6,-4)

Step-by-step explanation:

Rule for reflection over the y axis (x,y) -----> (-x,y)

Explanation of rule : change the sign of the x value and keep the y value the same.

Applying rule to given coordinate

(6,-4) -----> change the sign of 6 to get -6 and keep -4 as it is -----> (-6,-4)

Refer to the attached image for more validation. Note that x=0 is the y axis

Answer:

They were very angry about her helping the colonists.

Step-by-step explanation: