[tex]4.[/tex]
Given,
Number of Red pens = 4.
Total number of Pens = ?
They given just 4 red pens. Then, the total number of pens = 4.
Use the quadratic formula to solve -125x^2+30000x-153000
(-b±√(b²-4ac))/(2a)
Answer:
x=120±6434−−−√
x=−4.996
x=244.996
Find the Solution for
−125x2+30000x+153000=0
using the Quadratic Formula where
a = -125, b = 30000, and c = 153000
x=−b±b2−4ac−−−−−−−√2a
x=−30000±300002−4(−125)(153000)−−−−−−−−−−−−−−−−−−−−−√2(−125)
x=−30000±900000000−−76500000−−−−−−−−−−−−−−−−−−−√−250
x=−30000±976500000−−−−−−−−√−250
The discriminant b2−4ac>0
so, there are two real roots.
Simplify the Radical:
x=−30000±1500434−−−√−250
x=−30000−250±1500434−−−√−250
Simplify fractions and/or signs:
x=120±6434−−−√
which becomes
x=−4.996
x=244.996
A) Find the average value of the function over the given interval. (Round your answer to four decimal places.)
f(x) = 16 - x^2 , [-4, 4]
Answer: ???
B) Find all values of x in the interval for which the function equals its average value. (Enter your answers as a comma-separated list. Round your answers to four decimal places.)
Answer: x = ???
Answer:
(a) The average rate of change is 0
(b) The values of x are: [tex]x =4\ or\ x = -4[/tex]
Step-by-step explanation:
Given
[tex]f(x) = 16 - x^2; [-4,4][/tex]
Solving (a): The average rate of change (m)
This is calculated using:
[tex]m = \frac{f(b) - f(a)}{b - a}[/tex]
Where
[tex][a,b] = [-4,4][/tex]
So:
[tex]m = \frac{f(4) - f(-4)}{4 - -4}[/tex]
[tex]m = \frac{f(4) - f(-4)}{8}[/tex]
Solve f(4) and f(-4)
[tex]f(4) = 16 - (4^2) = 16 - 16 = 0[/tex]
[tex]f(-4) = 16 - (-4^2) = 16 - 16 = 0[/tex]
So:
[tex]m = \frac{f(4) - f(-4)}{8}[/tex]
[tex]m = \frac{0 - 0}{8}[/tex]
[tex]m = \frac{0}{8}[/tex]
[tex]m = 0[/tex]
Solving (b): All values of x where [tex]f(x) = m[/tex]
In (a), we have:
[tex]m = 0[/tex]
So:
[tex]f(x) = 0[/tex]
So, we have:
[tex]f(x) = 16 - x^2[/tex]
[tex]16 - x^2=0[/tex]
Express 16 as [tex]4^2[/tex]
[tex]4^2 - x^2=0[/tex]
Apply difference of two squares
[tex](4 - x)(4 + x) = 0[/tex]
Split
[tex]4 - x =0; 4 + x = 0[/tex]
Solve for x
[tex]x =4\ or\ x = -4[/tex]
We will find that the average of the function over the given interval is 0, and the two values of x such that the function is equal to the average are x = -4 and x = 4.
How to find the average of a function over an interval?
To find the average of a function f(x) over an interval [a, b] we need to compute:
[tex]\frac{f(b) - f(a)}{b -a}[/tex]
In this case we have:
f(x) = 16 - x^2
And the interval is:
[-4, 4]
We will get:
[tex]\frac{(16 - (4)^2) - (16 - (-4))^2}{4 - (-4)} = \frac{0}{8} = 0[/tex]
So the function has an average of 0 over that interval.
B) Here we just need to solve:
f(x) = 16 - x^2 = 0
We will get:
16 - x^2 = 0
16 = x^2
±√16 = x
±4 = x
So the solutions are x = 4 and x = -4.
If you want to learn more about averages of functions, you can read:
https://brainly.com/question/16033358
#10
Corinne has 95 coins in her piggy bank. There are only quarters and dimes. If the total value is
$15.05, how many quarters does she have?
Answer:
93 becouse you add 75 plus 2x10 is 20 so 75 plus is 105 so 14.75 plus .20 is 15.05
Step-by-step explanation:
What are the values of x and y in the diagram? Use an equation to solve the problem. (the diagram
has 2 different y's, so you need the TOTAL of the y's)
Answer:
x =35
y=72.5 and the 2nd y also equals 72.5
Step-by-step explanation:
x=35- it is a vertical angle
both ys + 35 makes a straight line (180)
2y+35=180
2y=145 (subtract 35 from both sides)
y=72.5 (divide by 2)
PLEASE HELP ME ASAPPPPP!!!!!!!!
Answer:
4 Zebras
Step-by-step explanation:
I can only see that she have 5 elephants, possibly more, however it's cut off. If that's true. Then:
If she has 5 elephants (which is currently what she has the most of) and 2 zebras. She needs 4 more zebras. Then she will have 6 zebras. More then any other animal.
Answer:
assuming the elephant has the most dots, as i cant see the full picture, then she needs to collect 4 more because she has 2 already.
Step-by-step explanation:
The elephant has 5 dots
the zebra has 2 dots
4+2=6
Multiply.
(-3+2i)(-4+4i)
Write your answer as a complex number in standard form.
Answer:
4 - 20 i
Step-by-step explanation:
you do stuff and you get 4 - 20 i
Use the distributive property to match equivalent expressions.
74-4 - x)
28 - 7x
-28 - 7x
-7(4-x)
28 + 7x
7(4 + x)
-28 + 7x
-7(4+x)
Answer:
7(-4 - x) = -28 - 7x
-7(4 - x) = -28 + 7x
7(4 + x) = 28 + 7x
-7(-4 + x) = 28 - 7x
Step-by-step explanation:
To apply the distributive property, use the term outside the bracket to multiply each of the term you have inside the bracket.
Thus:
✔️7(-4 - x) = 7(-4) +7(-x)
= -28 - 7x
✔️-7(4 - x) = -7(4) -7(-x)
= -28 + 7x
✔️7(4 + x) = 7(4) + 7(+x)
28 + 7x
✔️-7(-4 + x) = -7(-4) -7(+x)
= 28 - 7x
Your friend has two standard decks of 52 playing cards and asks you to randomly draw one card from each deck. What is the probability that you will draw two spades?
Answer:
If you have 2 decks of 52, it would be 1/52 chance per card, so since there are two, add it up, its 2/104
Step-by-step explanation:
Answer:
1/16
Step-by-step explanation:
:))
What number is halfway between 0.36 and 0.48 on a number line?
Answer:
0.42
Step-by-step explanation:
they are both multiples of 0.06
think of it like 6 x 6= 36 and 6 x 8 = 48
6 x 7 = 42 would be halfway
Answer:
0.42
Step-by-step explanation:
To find the half, add da numbers and divide by 2. So 0.36 and 0.48 added together is 0.84. That divided by 2 is 0.42.
Find the value of x for which m||n.
A. Can't be determined.
B. 21
C. 8
D. 19
Answer:
The answer is B. 21Step-by-step explanation:
5c+4c+2 and 5c+2(2c+1)
Answer:
11 c12 cyfiddiddjkssjksajusaahogsyi of
i will give Brainiest if you are right
Answer:
B. 4x ≤ 320
Step-by-step explanation:
Not sure how to explain my thinking. However, 4x must be smaller than 320 because she cannot spend more than that.
Answer:
Step-by-step explanation:
b
ending on your answer
What percent of the large square is shaded?
O 56%
O 5%
06%
44 %
Select the correct answer.
Consider function g.
g(x)= 5/x-1 +2
What is the average rate of change of function gover the interval [-4,3]?
ОА. -7/2
OB. 1/2
OC. -1/2
OD. 2
Answer:
Option B
Step-by-step explanation:
Average rate of change of a function 'f' in the interval x = a and x = b is given by,
Average rate of change of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
Given function is,
g(x) = [tex]\frac{5}{x-1}+2[/tex]
We have to calculate the rate of change in the interval [-4, 3],
Average rate of change = [tex]\frac{g(3)-g(-4)}{3-(-4)}[/tex]
g(3) = [tex]\frac{5}{3-1}+1[/tex]
= 2.5 + 1
= 3.5
g(-4) = [tex]\frac{5}{-4-1}+1[/tex]
= -1 + 1
= 0
Average rate of change = [tex]\frac{3.5-0}{3+4}[/tex]
= [tex]\frac{3.5}{7}[/tex]
= [tex]\frac{1}{2}[/tex]
Therefore, Option B will be the answer.
Answer:
B
Step-by-step explanation:
Edmentum
Help please click the picture sorry the outside is black
Answer:
D
Step-by-step explanation:
Tust me Plz
Answer:
D
Step-by-step explanation:
5+6 then multiply by 3
(5+6) x 3 or 3 x (5+6)
A city doubles its population in 20 years. If it is growing exponentially, when will it triple its population?
Answer:
After 30 years
Step-by-step explanation:
population×2=20 years
population×2×1.5=20×1.5 years
population×3=30 years
A random sample of 340 electronic components manufactured by a certain process are tested, and 30 are found to be defective. A device will be manufactured in which two of the components will be connected in series. The components function independently, and the device will function only if both components function. Let q be the probability that a device functions. Find a 95% confidence interval for q. Round the answers to three decimal places. The 95% confidence interval for q is (
Answer:
95% of the confidence interval for q is
(0.05809 , 0.1183)
Step-by-step explanation:
Step:1
Given that the random sample of 340 electronic components manufactured by a certain process is tested, and 30 are found to be defective.
sample proportion
[tex]q^{-} = \frac{x}{n} = \frac{30}{340} = 0.0882[/tex]
Step:2
95% of the confidence interval is determined by
[tex](q - Z_{0.05} \sqrt{\frac{pq}{n} } , q + Z_{0.05} \sqrt{\frac{pq}{n} } )[/tex]
[tex]((0.0804 -1.96 \sqrt{\frac{0.0804 X0.9118}{340} } ,0.0804 +1.96 \sqrt{\frac{0.0804 X0.9118}{340})[/tex]
[tex]( 0.0882- 1.96 \sqrt{0.000236} , 0.0882 + 1.96 \sqrt{0.000236} )[/tex]
(0.0882 - 0.03011 , 0.0882+0.03011)
( 0.05809 , 0.1183)
Final answer:-
95% of the confidence interval for q is
(0.05809 , 0.1183)
Which of the following situations could be described by the equation y = 120 - 25x?
Answer:
Is there any other information?
Step-by-step explanation:
For the purpose of determining the value of its end-of-year inventory, a clothing store creates a list at the end of the year of every item currently in stock along with each iter's wholesale price. Which of the
following is the best description of the end-of-the-year activity?
Answer:
A census, because the wholesale prices of all items are listed.
Step-by-step explanation:
What is the coefficient in the following expression?
5a– 7
HELP MEEEEE!!!!plzzzz
Answer:
c is the answer
Step-by-step explanation:
a trapezoid has an area of 15 square feet. if the bases are 4 feet and 6feet, what is the height of the trapezoid?
9514 1404 393
Answer:
3 ft
Step-by-step explanation:
The formula for the area of a trapezoid is ...
A = 1/2(b1 +b2)h
Filling in the given information, we can solve for h.
15 ft² = 1/2(4 ft +6 ft)h
15 ft² = (5 ft)h
h = (15 ft²)/(5 ft) = 3 ft
The height of the trapezoid is 3 feet.
divide then write in simplest form 5 divided by 5/6, 3 divided by 5/6, 10 dived 5/6 4 divided 5/9, 6 divided by 2/3
Answer:
Step-by-step explanation:
y= -1/4x
Find the midpoint of the line segment with endpoints (3,-5) and (7.9).
Answer:
x midpoint 5
y midpoint 2
(5,2)
Solve the following addition problems. Remember to carry as necessary.
995lb6oz+1,004lb11oz =
24T1,507lb 12oz + 7T938lb6oz =
6T14oz11T1,949lb8oz + 5T49lb15oz =
Expresa el siguiente número 14322000000000000 en notación científicaOpción única.
(1 Punto)
1.4322 1014
1.4322 1015
1.4322 1016
14.322 1014
Answer:
14322 * 10¹²
1.4322 * 10¹⁶
Step-by-step explanation:
14322000000000000
14322 * 10¹²
1.4322 * 10¹⁶
Ms. Parvin pays a tax every year because she owns a house.
Which term best describes this tax?
Answer:
it's called property tax
Step-by-step explanation:
when you have to pay taxes on property you have its property tax
A hat contains 3 blue and 5 black tickets.
If one ticket is chosen at random from the hat, what is the probability that it is blue?
I WILL GIVE BRAINLIST ANSWER
Answer:
the answer is 3/8
Step-by-step explanation:
Choose the function that shows the correct transformation of the quadratic function shifted two units to the right one
unit up.
o f(x) = (x - 2)2 - 1
O f() = (x - 2)2 + 1
o f() = (x + 2)2 - 1
o f(x) = (x + 2)2 + 1
What is the value of (-1/2)-4?
O -16
O -1/16
O 1/16
O 16 ********
need help fast pls?