The path of a breaching ocra whale can be modeled by the function k(x) = x^2 - 2x - 8, where x is the time elapsed in seconds under water, and k(x) is the height in ft below the water.
Determine HOW LONG is the ocra (killer) whale underwater to the nearest second. MUST BE SOLVED ALGEBRAICALLY!

Answers

Answer 1

Answer:

The time duration of the ocra whale spends under water is 4 seconds

Step-by-step explanation:

The equation that model the path of the ocra whale is presented as follows;

k(x) = x² - 2·x - 8

Where;

x = The time elapsed in seconds under water

k(x) = The height in feet below water

Therefore, the point where the ocra whale enters the water, k(x) = 0

At the point of submerging below the water surface, we have;

k(x) = 0 = x² - 2·x - 8

Factorizing the quadratic equation gives;

0 = x² - 2·x - 8 = (x - 4)·(x + 2)

Therefore, when k(x) = 0, either;

(x - 4) = 0, which gives, x = 4

(x + 2) = 0, which gives, x = -2

Given that 'x' represent the time, the time elapsed while the whale is under water, x = 4 seconds


Related Questions

Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 14 small cakes per hour. The kitchen is available for 2 hours and 24 large cakes and 130 small cakes can be cake. How many cooks are required to bake the required number of cakes during the time the kitchen is available

Answers

Answer:

8

Step-by-step explanation:

In 2 hours

1 cook makes 10 large cakes

24/10 = 2.4

You need 3 cooks to make the large cakes.

In 2 hours

1 cook makes 28 small cakes

130/28 = 4.64

You need 5 cooks to make the small cakes.

3 + 5 = 8

Answer: 8

What value, a, needs to be added to create a perfect-square quadratic?
x² - 6x + a

Answers

Answer: 9

Step-by-step explanation:

(x-3)^2=x^2-6x+9

(x-a)^2=x^2-2ax+a^2)

Camilla's employer pays 90% of the total cost of her family's health insurance
plan, while Camilla pays the rest. If the total cost of the plan increases from
$850 per month to $950 per month, how much more will Camilla have to pay
each month?
A. $90
O B. $10
O C. $100
D. $9

Answers

Answer:

B. $10

Step-by-step explanation:

Camila's employer pays 90% of the total cost of her family's health insurance

plan

Therefore, Camilla pays only 10%

If the total cost of the plan increases from $850 per month to $950 per month, how much more will Camilla have to pay

each month?

Amount of health insurance Camilla pays at $850 per month = 10% of $850

= 0.1 * $850

= $85

Amount of health insurance Camilla pays at $950 per month = 10% of $950

= 0.1 * $950

= $95

Amount Camilla pays more = $95 - $85

= $10

B. $10

pls help me solve pls show how you got the answer

Answers

Answer:

12.8

Step-by-step explanation:

Find the difference between 1.9 and 1.5 (Divide them)

You get 1.9 ÷ 1.5 = 1.26

Then multiply the answer with 8,

8 x 1.26 = 12.8 (Nearest tenth)

Have a great day :)

If Hannah paid a 7% shipping charge for a baseball that equals $9.45,how much was the baseball?

Answers

Answer:

The baseball was $8.79 without the shipping charge

Step-by-step explanation:

7% = 0.07

$9.45 * 0.07 = $0.6615

$9.45 - $%0.6615 = $8.7885

Hope this helps

Answer :

$8.7885 ($8.79) without shipping charge

Step by step Explanation :

I agree with the previous answer, you would find 7% of 9.45 first.

$9.45 * 0.07 = $0.6615

Then you would subtract because you want to find the cost of the baseball alone.  

$9.45 - $0.6615 = $8.7885

Help me please I am going to die with school rn

Answers

Answer:

416 ft

Step-by-step explanation:

We will start with the easiest shape.

10 x 4 x 4 = 160

We will put that to the side and continue.

we see that 20 feet is the whole height of the object but since there is the height of 4 feet on the bottom shape, we will take 4 from 20 to give us 16 feet for the top shape.

16 x 4 x 4 = 256

Now, we add the totals.

256 + 160 = 416

Answer:

416 ft

Step-by-step explanation:

We will start with the easiest shape.

10 x 4 x 4 = 160

We will put that to the side and continue.

we see that 20 feet is the whole height of the object but since there is the height of 4 feet on the bottom shape, we will take 4 from 20 to give us 16 feet for the top shape.

16 x 4 x 4 = 256

Now, we add the totals.

256 + 160 = 416

Anne made a recipe for miniature bread loaves that called for StartFraction 7 Over 8 EndFraction of a cup of whole-wheat flour. If the recipe made 7 equal-sized loaves of bread, how many cups of whole-wheat flour did each loaf contain?
StartFraction 1 Over 8 EndFraction of a cup

Answers

Answer:

8 loaves

Step-by-step explanation:

so each loaf contains 7/8 cups flour

there are 7 loaves

7 ÷ 7/8 = 8

Answer:

1/8

Step-by-step explanation:

So if the entire recipe makes 7 loaves and calls for 7/8 of a cup, you would need to split the 7/8 cups flour into 7. 7/8 ÷ 7=1/8.

Hope this helped! :)

Help ASAP !!!

What is the angle of 1

Answers

Answer:

100°

Step-by-step explanation:

m L 1 = (180-100) + 20 = 80+20 = 100°

what is the area pls

Answers

Answer: 66

Step-by-step explanation: 12x5=60

                                               2x3=6

                                                   60+6=66

) Factorise
a2 + ab + a
Answer

Answers

Answer:

Step-by-step explanation:

a^2+ab+a

a(a+b+1)

Answer:

a(a+b+1). was this helpful

A wildlife refuge has 200 birds when it is first established. It is so
successful that the number of birds increases by 25% every year.
Write a function to model the situation.
Find the number of birds present after 7 years.

Answers

Answer:

550 birds

Step-by-step explanation:

25% × 7 = 175%

100% + 175% = 275%

[tex]\frac{y}{200} :\frac{275}{100}[/tex]

y × 100 = 275 × 200

100y = 55000

100y ÷ 100 = 55000 ÷ 100

y = 550

Answer:

200*1.25ˣ

954

Step-by-step explanation:

let x= years

200*1.25ˣ = birds

plug in 7 for x

200*1.25⁷=953.6743164

round to 954

how to work out the surface areas of cuboid? height=2cm length=10cm width=7cm Please do it step by step

Answers

Answer:

 208 you find the area of each face then add them up

Step-by-step explanation:

what is 6t + 3t + 4 simplified?

Answers

Answer:

9t + 4

Step-by-step explanation:

6t + 3t + 4

= 9t +4

how do I multiply and divided exponent denominator and numerator

Answers

Wassupjhbhbbbbsnd dndbdbbdbdhdbd

Which type of graph would be best for showing the average yearly bonus amounts for employees in different departments of an IT company?

A. a bar graph
B. a circle graph
C. a histogram
D. a line graph

Answers

Answer:

I believe that a bar graph will help with that, because you can narrow the answers down to a bar graph and a line graph but a line graph will only show an increase and a decrease not an average, and a bar graph shows all three.

Step-by-step explanation:

I hope this helped let me know!

PLS HELPPPPP<3tyyyyyy this is due today! so please helppp tysmmm and have a great night or morning! :)

Answers

Answer:

3) 40 decimeters = 4 metres

7) >

8) <

9) >

10) <

Can someone please be generous & help

Answers

slope intercept y= 10x-82

point slope y + 2 = 10 (x − 8)

Peter works at a camera store. He is paid an hourly rate, plus 2 points
16% commission on everything he sells. One week, he was paid $515 for
working 20 hours and selling $1,500 worth of camera equipment. What is
his hourly rate? *
A) $12.00 per hour
B) $13.75 per hour
C) $21.63 per hour
D) $25.75 per hour

PLSS HELP

Answers

Answer:

fdd

yfddd

Step-by-step explanation:

dded fdd fdd fdd fddc rttyj hreef ggg

HELPPPPPPPW PLSSSSBRBEHD

Answers

Answer:

b. 10

Step-by-step explanation:

3 (x 2) = 6

5 (x 2) = 10

Answer:

Helen scores 10 points.

Step-by-step explanation:

We are given that for every 3 points Glenn scores, Helen scores 5 points. Glenn now scores 6 points and Helen's score is unknown. We can write this as a ratio.

Glenn - 3 : 5 - Helen

Glenn - 6 : ? - Helen

We can divide 6 by 3 to get the rate of change, which is 2. Then multiply 5 and 2 and we get 10! Helen scores 10 points for every 6 points Glenn scores. I hope this helps! :D

PLEASE ANSWER THIS QUESTION I ONLY HAVE 30 MINUTES!!!! I WILL GIVE YOU BRAINLIEST!!!! Broccoli costs 3.14 a pound at the market. Aunt Jaime bought 2.5 pounds. what is the cost? PLS ANSWER I NEED TO MAKE MY SISTER BREAKFIST!!!!

Answers

Answer:

The final cost is 7.85

Step-by-step explanation:

Take 3.14 and multiply it by 2.5

the final cost would be 7.85. i took 3.14 and multiplied it by 2 then took 3.14 again and divided it by 2. i added the answers together and got 7.85. or you could do it the way the other person who answered did it. my way is more complex

What is the solution for the equation?

Answers

Cross multiply
5(b3-2) = 2(3b2 - 2b2 -5)
5b3 - 10 = 6b3 - 4b2 - 10
5b3 = 6b3 - 4b2
0 = b3 - 4b2
0 = b2(b - 4)

b2 = 0 —> b = 0
b-4=0 —> b = 4

What is the slope and y-intercept of y=-5/4x+4 and the slope and y-intercept of y=3/2x-7

Answers

Answer:

Step-by-step explanation:

The slope of y = -5/4x + 4 is -5/4. The y-intercept is 4.

The slope of y=3/2x-7 is 3/2. The y-intercept is -7.

match each problem to the inequality that models it! One choice will be used twice.

Answers

The answers (in order of top to bottom): c, b, d, d, a

pls answer asap 7 - 3 r = r - 4 ( 2 + r)​

Answers

Answer:

no real answer

Step-by-step explanation:

distribute the -4 and combine all of the like terms on the left side = r-8-4r, then -8-3r

then we have 7-3r=-8-3r

from here, we can already tell that there's no real answer. this is because the two -3r will cancel, leaving no variable.

since 7 doesn't equal -8, there is no answer.

if, for example, the value on both sides of the equal sign were the same after the variable was eliminated, then your answer would be all real numbers

Use the quadratic formula to find both solutions the the quadratic equation given below
4x^2+3x-1=0

Answers

   4x²  +  3x    -  1 = 0

a=4      b=3   c=-1

Quadratic formula:

x =

=

=  ,

= ,

= , -1

Find the measure of each bolded arc. Round to the nearest hundredth

Answers

Answer:

Arc Length = 68.7

Step-by-step explanation:

The formula that is used to find the arc length:

s = (θ/360) * 2πr

(You would get the value of θ, by subtracting 57 from 360)

(You would get r by dividing 26 by 2)

Now we can solve this;

s = (303/360) 2π(13)

s = 0.842 * 2π(13)

s = 0.842 * 0.283(13)

s = 68.7

Hope this helps!

question in picture
correct answer marked brainliest

Answers

C because you need to use the formula and then calculate

Estimate 5.209 + 2.667 by
rounding to the nearest
hundredth

Answers

7.88
5.209+2.667=7.876 which is 7.88 when you round it to the nearest hundredth.

Answer:

8!!

Step-by-step explanation:

5+3

Find the interquartile range of the data.

84,75,90,87,99,91,85,88,76,92,94

Answers

Answer:  IQR = 8

IQR is shorthand for interquartile range

=========================================================

Explanation:

The original list is {84,75,90,87,99,91,85,88,76,92,94}

It sorts to {75,76,84,85,87,88,90,91,92,94,99}

Pick out the middle most value, which is 88 in slot 6. A quick way to get here is to see that there are n = 11 values in this set. So n/2 = 11/2 = 5.5 which rounds to 6, and that tells us the slot number where the median is held. If n is an even number, then you'll need to use the midpoint formula for the two middle-most items.

After we determine the median is 88, we split the sorted data set as follows:

L = {75,76,84,85,87}

U = {90,91,92,94,99}

Everything in set L is below the median. L for lower.

Everything in set U is above the median. U for upper.

Sets L and U have 5 items each. Note that 5+1+5 = 11 = n.

-------------

The median of set L is 84, so Q1 = 84

The median of set U is 92, so Q3 = 92

Q1 and Q3 are the first and third quartiles respectively. Subtracting them gets us the IQR (interquartile range)

IQR = Q3 - Q1

IQR = 92 - 84

IQR = 8

The IQR helps give us a sense how spread out the data set is. It's similar to the range, which is found by range = max - min. The larger the (interquartile)range, the more spread out the data set will be.

What’s the distance between the points that’s given on the graph?

Answers

The distance between two points:

[tex] \large \boxed{ \sqrt{(x_2 - x_1)^{2} + {(y_2 - y_1)}^{2} } }[/tex]

From the graph, the given points are (-3,1) and (5,-4). Substitute the points in as we get:

[tex] \large{d = \sqrt{ {( - 3 - 5)}^{2} + {(1 + 4)}^{2} } } \\ \large{d = \sqrt{ { (- 8)}^{2} + {5}^{2} } } \\ \large{d = \sqrt{64 + 25} \longrightarrow \sqrt{89} } [/tex]

Hence the distance between two points is √89.

Answer

√89

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