Answers
Answer:
The zeros of the function:
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
Step-by-step explanation:
Given the function
[tex]f\left(x\right)=2x^2-17.5x+35.6[/tex]
To find zeros, put f(x)=0
[tex]0=2x^2-17.5x+35.6[/tex]
[tex]\mathrm{Multiply\:both\:sides\:by\:}10[/tex]
[tex]0\cdot \:10=2x^2\cdot \:10-17.5x\cdot \:10+35.6\cdot \:10[/tex]
[tex]0=20x^2-175x+356[/tex]
switch sides
[tex]20x^2-175x+356=0[/tex]
subtract 356 from both sides
[tex]20x^2-175x+356-356=0-356[/tex]
[tex]20x^2-175x=-356[/tex]
divide both sides by 20
[tex]\frac{20x^2-175x}{20}=\frac{-356}{20}[/tex]
[tex]x^2-\frac{35x}{4}=-\frac{89}{5}[/tex]
[tex]\mathrm{Add\:}a^2=\left(-\frac{35}{8}\right)^2\mathrm{\:to\:both\:sides}[/tex]
[tex]x^2-\frac{35x}{4}+\left(-\frac{35}{8}\right)^2=-\frac{89}{5}+\left(-\frac{35}{8}\right)^2[/tex]
applying perfect square
[tex]\left(x-\frac{35}{8}\right)^2=\frac{429}{320}[/tex]
[tex]\mathrm{For\:}f^2\left(x\right)=a\mathrm{\:the\:solutions\:are\:}f\left(x\right)=\sqrt{a},\:-\sqrt{a}[/tex]
solving
[tex]x-\frac{35}{8}=\sqrt{\frac{429}{320}}[/tex]
[tex]x=\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]
[tex]x=5.53[/tex]
also solving
[tex]x-\frac{35}{8}=-\sqrt{\frac{429}{320}}[/tex]
[tex]x=-\frac{\sqrt{2145}}{40}+\frac{35}{8}[/tex]
[tex]x=3.22[/tex]
[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
Therefore, the zeros of the function:
[tex]x=5.53 ,[/tex] [tex]x=3.22[/tex]
Related Questions
1. A random sample of 200 items yields 35 that are non-conforming. Find the 90% confidence interval for the true population proportion non-conforming.
Answers
Answer:
(0.131) , (0.044)
Step-by-step explanation:
Given:
Total sample n = 200
Yield x = 35
Confidence level = 90%
Find:
Proportion non-conforming
Computation:
Proportion p = x / n
Proportion p = 35 / 200 = 0.175
Non Proportion q = 1 - p
Non Proportion q = 0.825
So,
z value of 90% is 1.64
So,
Proportion non-conforming
p ± [z√pq/n]
0.175 ± [1.64√(0.175)(0.825)/200
(0.131) , (0.044)
Step-by-step explanation:
what should she do do next yo find √42 to the nerest hundredth
I really do not understand and need the answer!
You have just been hired as New York’s premier Real Estate Agent! In your company, you will make a 7% commission. The real estate market in New York is booming! As the realtor calculates your potential commission if you sell the property for the list price.
If the listing price for Candy Cane Creek is $864, 550, how much commission would you receive?
Answers
Answer: $60,518.50
Step-by-step explanation: Multiply 864,550 and 0.07 because you need to find the commision.
Answer:
Hello
Step-by-step explanation:
Help what is 95.28 ➗ 1.2
Answers
Answer:
79.4
Step-by-step explanation:
Answer:
You know a calculator is a thing, right?
Anyways though, the answer is 79.4.
Step-by-step explanation:
the diagram shows a wire attached to the top of a telephone pole. To the nearest foot, what is the height of the telephone pole?
Answers
Answer:
60 feet
Step-by-step explanation:
Answer:
58 feet
Step-by-step explanation:
80x80 - 55x55 = 58.09
The spinner is spun 240 times. What is a reasonable prediction for the number of times the spinner will land on a 3.
Answers
Answer:120 times
Step-by-step explanation:4/8 = x/240. 4/8 x 240/1 4/1 x 30/1 = 120/1 = 120.
Reduce 8 to 1 and 240 to 30.
Answer:
120
Step-by-step explanation:
PLZ HELPP!! ITS ALMOST DUE!!! ILL MARK BRAINLIEST!!
Answers
Answer:
-3x + 40
Step-by-step explanation:
The constant given is 40 gallons and the rate at which the water in the bathtub decreases is 3 gallons per minute.
To write this as an equation we model 40 as the starting constant that is positive and, because the water is decreasing, we use a negative slope.
-3x represents the decrease in water over x intervals (Which in this case is minutes) and 40 gallons represent the initial value (water in the bathtub).
Therefore the water in the bathtub can be modeled with the equation
-3x + 40
The pentagons ABCDE and PQRST are similar
Find the length x of RS.
B
E
R
Х
?
Continue
Answers
Answer: X or SR = 3.6
Step-by-step explanation: Simply divide TP and EA or one of each similar segments to get a number. Which 4.8 / 4 = 1.2 Then multiply this number by 3 to get your answer of x which is 3.6
A school bought $548 in basketball equipment and uniforms costing $29.50 each. The total cost was $2,023. Write an equation you can use to find the number of uniforms the school purchased.
(a) what would the variable (x) represent in this problem?
(1) the cost of the uniforms
(2) the number of basketballs purchased
(3) The number of uniforms purchased
(b) what is the total cost of the equipment and uniforms? |____________| (no symbols)
(c) write an equation to represent this problem. use x as your variable. |___________|
Answers
Answer:
Step-by-step explanation:
Graphically, a point is a solution to a system of two inequalities if and only if the point
A. lies in the shaded region of the top inequality, but not in the shaded region of the bottom inequality.
B. lies in the shaded region of the bottom inequality, but not in the shaded region of the top inequality.
C. lies in the shaded regions of both the top and bottom inequalities.
does not lie in the shaded region of the top or bottom inequalities.
Answers
Evaluate the given expression. Subscript 10 Baseline C Subscript 4 Baseline times Subscript 4 Baseline C Subscript 2 a. 1,260 c. 1,275 b. 1,278 d. 1,270
Answers
Answer:
The answer is A: 1,260
Step-by-step explanation:
I took the test on Edge
Answer:
A-1,260
Step-by-step explanation:
a man buys eggs at RS 9.60 per dozen and sell 20 eggs for RS 18 what is his gain or loss percen?
Answers
Answer:
88.89%
Step-by-step explanation:
Step one:
given
a man buys eggs at RS 9.60 per dozen
what is the unit cost of the dozen of eggs?
unit cost = 9.60/12
= $0.8 per egg
He sold 20 eggs for RS 18
the unit selling price = 18/20
=$0.9 per egg
the percent gain is
=0.8/0.9*100
=0.888*100
=88.89%
Sub to hudson moore among us gameplay
Answers
Answer:
okKkAyYy
Step-by-step explanation:
3
4
5
I James Dove- Edwin
Brian bought 34 of ham from the grocery
store and lost of it once he left the
grocery store. How much ham from the
grocery store does Brian have left?
Answers
How many did he lose? Can you tell us how much he lost?
Paul needs to randomly select one of his four children to go first in a board game. Which simulation tools could he use in this situation?
1. a spinner divided evenly into 12 sections, with three sections each of four different colors. - Correct
2. a bag containing 12 chips in two different colors, with six of each color.
3. a standard deck of cards.
4. two coins -Correct
5. a six-sided number cube
Answers
Answer:
1/3/4 are all correct
Step-by-step explanation:
For Paul to select 1 of his 4 children, the simulation tool must have the possibility of giving a result of 1/4 (i.e. 1 in 4 children). The simulation tools capable of these results are: (1), (3) and (4)
To determine which simulation tool is correct for the situation, we simply put each option to test.
Option (1)
[tex]Sections = 12[/tex]
[tex]Sub= 3[/tex]
Here, the simulation is done by calculating the probability of each subsection.
The probability is:
[tex]Pr = \frac{Sub}{Sections}[/tex]
[tex]Pr = \frac{3}{12}[/tex]
Simplify
[tex]Pr = \frac{1}{4}[/tex]
Option 2
[tex]Chips =12[/tex]
[tex]Sections = 2[/tex]
Here, the simulation is done by calculating the probability of each section.
The probability is:
[tex]Pr = \frac{Sections}{Chips}[/tex]
[tex]Pr = \frac{2}{12}[/tex]
Simplify
[tex]Pr = \frac{1}{6}[/tex]
Option 3
A standard deck has:
[tex]Cards = 52[/tex]
[tex]Suit = 13[/tex]
Here, the simulation is done by calculating the probability of each suit.
The probability is:
[tex]Pr = \frac{Suits}{Cards}[/tex]
[tex]Pr = \frac{13}{52}[/tex]
Simplify
[tex]Pr = \frac{1}{4}[/tex]
Option 4
[tex]Coins = 2[/tex]
Here, he needs to toss the coin 2 times. So, the possible sample space are:
[tex]S = \{HH, HT, TH, TT\}[/tex]
The probability of one of the outcomes is:
[tex]Pr = \frac{1}{n(S)}[/tex]
Where:
[tex]n(S) = 4[/tex] ---- number of outcomes
So:
[tex]Pr =\frac{1}{4}[/tex]
Option 5:
[tex]Sides =6[/tex]
The probability of getting 1 of the 6 faces is:
[tex]Pr = \frac{1}{6}[/tex]
Paul can only use simulations that give 1/4. Hence, (1), (3) and (4) are correct because they all equal 1/4.
Read more about probability simulation at:
https://brainly.com/question/11740786
2/3(1 + n) = -1/2 What is the value of n
will mark brainliest
Answers
Answer:
n = -1.75
As a fraction = -7/4
Step-by-step explanation:
Which linear inequality is graphed with y> -+-2 to create
the given solution set?
y>x+1
y
y>x-1
y
Answers
Answer:
c
Step-by-step explanation:
Tyreke can complete 5 problems in 8 minutes.
How long will it take him to complete 30
problems?
Answers
Answer:
48 minutes
30/5 = 6
6 x 8 = 48
Answer: 48
Step-by-step explanation:
if Tyreke can solve:
5 problems in 8 minutes
30 problems in ? minutes
(30*8)/5=48
I will mark brainiest to whoever answers this!
Answers
Answer:
2
Step-by-step explanation:
......... . ........ .......
A pretzel stick measures 6 inches in length Mr Bates just took a bite of it and now it is 35% smaller Which of the following expressions can be used to
6(0.35)
6(0.65)
6-6 (0.35)
6- 6 (0.65)
Answers
Answer: B.
Step-by-step explanation: Mr. Bates made the pretzel 35% SMALLER. That means that the remains of the pretzel is 65% of the original 100% of the pretzel. Therefore, the answer is B.
it is 35% smaller which is another way of saying the pretzel is 65% of its original size. to find the new size we multiply it by .65 so the answer is B
Find the circumference of the circle use 3.14 for
Pi Round to the nearest hundred put the answer in cm
Need ASAP if u don’t know the answer don’t answer
Answers
Answer:
47.1 cm
Step-by-step explanation:
The circumference of a circle is denoted by C = 2πr, where r is the radius.
Here, we see that the given radius is 7.5, so r = 7.5 cm. We also are given that we need to use the approximation 3.14 for π, so plug all these into the formula:
C = 2πr
C = 2 * 3.14 * 7.5 = 47.1
To round this to the nearest hundredth... well, there's no hundredth place, so we can leave this as is or just write 47.10 cm.
Thus, the circumference is 47.1 cm.
17.
Which of the following are equiangular quadrilaterals?
a. parallelogram and rectangle
b. trapezoid and rhombus
c. square and rhombus
d. square and rectangle
e. none of these
Answers
You have 72 grams of a radioactive kind of actinium. If its half-life is 6 hours, how much will
be left after 12 hours
Answers
Answer:
There will be 18 grams left after 12 hours.
Step-by-step explanation:
Half-life is the amount of time it take for a cell to turn from one condition to another.
To find the amount of grams for the first 6 hours.
72 ÷ 2= 36
Now, since 6 x 2 = 12, we need to divide 36 by 2 to find the next half-life.
36 ÷ 2 = 18
Therefore, there will be 18 grams left after 12 hours.
Hope this helps! :D
Tommy had a rectangular strip of paper that is 21 cm long. If he cuts it into smaller pieces, each 2 1/3 cm long, how many pieces of paper will he have?
Answers
Answer:
The answer is 9.
Explanation: 21÷ 2 1/3= 9
Answer:
9
Step-by-step explanation:
Us
What is the mole fraction of KCl in an
aqueous solution that contains
26.3% KCI (weightweight %)?
Answers
Answer:
0.0794%
Subtract the 26.3 from 100 and get the amount for water giving you 73.7
Divide both from their molar masses
26.3/74.55=0.3528
73.7/18.016=4.0908
Add both answers, 0.3528+4.0908=4.4436
Divde the KCl total from the the total moles which gives you your final amswer
0.3528/4.4436=0.0794
Answer: 0.0794
Step-by-step explanation:
Essential Question 3-5, 7th Grade I WILL GIVE BRAINLIEST!
What does the graph of a proportional relationship look like?
Answers
Answer:
It is a straight line because the x and y values are proportional.
Step-by-step explanation:
Answer:
it looks like a straight line thru the origin
2222222222222222222222222222222222222222222222222222...
Answers
Answer:
222,222,222,222,222,222,222,222,222,222
Step-by-step explanation:
Intellegenc.
( among us ) how many maps, most common name, best imp count 1,2,or3, best colors (top 3) you don't have all to much time so try to make it snappy
Answers
Answer:
2 maps, name noah, imp 2, color white, orange and yellow
Step-by-step explanation:
For the graph Y equals 1 find slope of a line that is perpendicular to it in the slope of a line parallel to it
Answers
Answer:
The answer is Undefined (∞).
Step-by-step explanation:
The line y = 1 has a slope of 0, and the line parallel to it, for instance, y = 3, has the same slope, m1 = 0. For the slope of the line perpendicular to that parallel line is m2 = -1/m1, which is -1/0 = ∞
PLEASE HELPPPPPP. I NEED IT DONEEEEE.
Answers
Answer:
1. Couples tickets: $8
Individual tickets: $4
2. Song download cost: $2
Movie download cost: $15
Step-by-step explanation:
You can solve both of these questions by doing system of equations.
Let's start with question 1.
There are 2 variables in this equation:
- Couples tickets price: let's represent these with the letter C
- Individual tickets price: let's represent these with the letter K
Writing the two equations would look this these:
5c + 2k = 48
3c + 2k = 32
Next, isolate a variable. I am going to isolate K in the first equation.
[tex]2k = -5c + 48 \\k = -\frac{5}{2}c + 24[/tex]
Now that we isolated a variable we can plug that back in to the second equation:
[tex]3c + 2(-\frac{5}{2}c + 24) = 32\\3c - \frac{10}{2}c + 48 = 32\\3c -5c + 48 = 32\\-2c + 48 = 32\\-2c = -16\\c = 8[/tex]
We found that c is equal to 8 so we can put that back in to an equation to solve for k.
5(8) + 2k = 48
40 + 2k = 48
2k = 8
k = 4
Therefore, the price for couples tickets is $8 and the price for individual tickets is $4.
Check #1:
5(8) + 2(4) = 48
40 + 8 = 48
48 = 48
3(8) + 2(4) = 32
24 + 8 = 32
32 + 32
Now, let's go on to question 2.
There are 2 variables in this equation:
- Price of songs downloaded: let's represent these with S
- Price of movies downloaded: let's represent these with M
Writing the two equations would look like this:
15s + 11m = 195
15s + 8m = 150
There is a simple way to answer this system, however.
If you change the bottom equations signs to negative you can minus the second equation from the first equation like this:
15s + 11m = 195
-(15s +8m = 150)
Minus them to get this equation:
3m = 45
Solve
m = 15
We have found that each movie download costs $15, now let's plug this back into an equation:
15s + 11(15) = 195
15s + 165 = 195
15s = 30
s = 2
Each song costs $2 to download.
Check #2:
15(2) + 11(15) = 195
30 + 165 = 195
195 = 195
15(2) + 8(15) = 150
30 + 120 = 150
150 = 150
I hope this helps!!
- Kay :)
The expression s2 is used
to calculate the area of a
square, where s is the side
length of the square. What
does the expression (8x)2
represent? The area of a
square with side length __.
A. 8 C. 4x
B. 16 D. 8x
Answers
Answer:
expression 4x the area is 16
Step-by-step explanation:
coz the expression one must devide (8x)2 to get 4x and to find the area one must multiplely 4x*4 to get 16
The solution is Option D.
The expression ( 8x )² represents the area of a square with side length 8x
What is the area of a square?
A square is a 4 sided polygon where all the sides are of equal length.
The area of the square is the square of any one of its side
Let a be the side of the square
Area of the square = a²
Given data ,
Let a be the side of the square
Area of the square = a²
Let the expression be A
Now , the value of A is given by
The value of A = s²
where s is the side length of the square
Now , let the expression be B
where the value of B is given as
The value of B = ( 8x )²
Now , 8x will be the side length of the square with ( 8x )² as its area
Therefore , the side length of the square is 8x
Hence , The expression ( 8x )² represents the area of a square with side length 8x
To learn more about area of square click :
https://brainly.com/question/17707380
#SPJ2