A student performed the following steps to find the solution to the equation x^2 + 14x + 40 = 0. Where did the student go wrong?
Step 1. Factor the polynomial into (x + 4) and (x + 10)
Step 2. x + 4 = 0 or x + 10 = 0
Step 3. x = -4 or x = 10
A. In step 3
B. The student did not make any mistakes, the solution is correct
C. In step 1
D. In step 2
Answers
Answer:
A. in Step 3
Step-by-step explanation:
It is factored correctly. Then separated into two smaller equations correctly. But in solving x + 10 = 0, there is an error.
x + 10 = 0
Add -10 to both sides.
x = -10
So, the error is in step 3.
Answer:
A . In Step 3.
Step-by-step explanation:
In step 3 the student went wrong
x = 4 or x = -10 is correct
( if x + 10 = 0, then x = -10)
Related Questions
Hey culture starting with 5000 bacteria after four hours ago to 5500 bacteria predict how many bacteria will be present after 13 hours. Round to the nearest whole number
Answers
it will be 3375 bacteria my ducky
How can you use
probability to draw conclusions about the
likelihood that something will occur?
(Probability)
Answers
The closer the probability is to 1, the more likely it is to occur and the closer the probability is to 0, the less likely it is to occur.
ProbabilityThis is the likelihood that an event will occur.
Probability of an event occuring is calculated thus P(event) = event space/sample space.The event space is the set of desired outcomes in which the event can occur while the sample space is the set of all possible outcomes.Now, the probability P(x) of an event x is in the range 0 ≤ P(x) ≤ 1 where P(x) = 0 implies that the event cannot occur and P(x) = 1 implies that the event will definitely occur.To draw conclusions about the likelihood that something will occurFor an event will occur, it value must be close to 1. For example, a probability P(x) = 0.38 is less likely to occur than a probability P(x) = 0.78.So, the closer the probability is to 1, the more likely it is to occur and the closer the probability is to 0, the less likely it is to occur.
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pls help me i really need help
Answers
Answer:
hey pls help me I urgently need help
The length of the term is one year. Calculate the principal if the maturity value is $4,500 and the simple interest is $350.
Answers
Answer:
Easy! The answer is $4,150
Step-by-step explanation:
The $350 is interest so we will take that away from the maturity value to get 4,150!
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A father is four times as old as his son. In two years the will have been five times as old as his son was two years ago. How old is the father?
Answers
Answer:
Q13)A man is four times as old as his son. After 20 years, he will be twice as old as his son at that time. Find their present ages. Present age of the father is = 4 x = 4 × 10 = 40 4x=4\times10=40 4x=4×10=40 years.
A credit card company receives numerous phone calls throughout the day from customers reporting fraud and billing disputes. Most of these callers are put “on hold” until a company operator is free to help them. The company has determined that the length of time a caller is on hold is normally distributed with a mean of 2.5 minutes and a standard deviation 0.5 minutes. If 1.5% of the callers are put on hold for longer than x minutes, what is the value of x?
Answers
Using the normal distribution, it is found that the value of x is of 3.585.
Normal Probability DistributionIn a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
It measures how many standard deviations the measure is from the mean. After finding the z-score, we look at the z-score table and find the p-value associated with this z-score, which is the percentile of XIn this problem, the mean and the standard deviation are given, respectively, by [tex]\mu = 2.5, \sigma = 0.5[/tex].
The value of x is the 100 - 1.5 = 98.5th percentile, which is X when Z = 2.17, hence:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]2.17 = \frac{X - 2.5}{0.5}[/tex]
[tex]X - 2.5 = 0.5(2.17)[/tex]
[tex]X = 3.585[/tex]
Hence the value of x is of 3.585.
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Mayra bought x grams of rice.
Anika bought 1/3 more than Mayra bought.
Select ALL of the equations that represent the relationship between the amount of rice that Mayra bought, x, and the amount of rice that Anika bought, y.
y = 4/3x
y = 2/3x
y = x - 1/3x
y = x + 1/3x
y = 1/3x
Answers
Answer:
i think last one is the right answer
Step-by-step explanation:
y=1/3x
From the given figure, find the value of x:-
Please can someone answer it I need it...
I'll mark as BRAINLIEST...
Answers
Answer:
90°
Step-by-step explanation:
Angle subtended by diameter from circumference is a right angle(Circle Theorem)
Medication with strength 125 mg/5 mL has been ordered at 25 mg/kg. The patient weighs 215 lb. How much should be
administered? (If less than 1, round to the nearest hundredth; otherwise, round to the nearest tenth.)
Answers
The amount of mg required per kg for the patient is 2,438.1mg/kg
Ratios and proportionsProportions are ratios of two integers.
Given the medication with a strength 125mg/5ml which has been ordered at 25 mg/kg.
For a patient that weighs 215lb, the weight in kg will be 97.5224kg
Since 25mg = 1 kg
x = 97.5224kg
x = 25 * 97.5224
x = 2,438.06
Hence the amount of mg required per kg for the patient is 2,438.06mg/kg
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A circle has its center at (2,-4). The radius of the circle extends to the
point (2,5). What is the approximate circumference of the circle?
⚫️114 units
⚫️14 units
⚫️28 units
⚫️57 units
Answers
Check the picture below, so the circle looks more or less like so, with a radius of 9.
[tex]\textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=9 \end{cases}\implies C=2\pi (9)\implies C\approx 57[/tex]
calculate the exact value of cos (a+b) given that cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π
Answers
The value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π, is 0.906.
What is triangle angle sum theorem?According to the triangle angle sum theorem, the sum of all the angle(interior) of a triangle is equal to the 180 degrees. The formula for cos compound angle using angle sum theorem can be given as,
[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)[/tex]
The exact value of cos (a+b) has to be find out. It is given that,
[tex]\cos a= \dfrac{3}{5}[/tex]
The value of a is lies between 0<a< π/2. The value of other side of the triangle using the Pythagoras theorem,
[tex]5^2={x^2+3^2}\\x^2=25-9\\x=\sqrt{16}\\x=4[/tex]
Thus, the value of sin a is 4/5 from the trigonometry ratio. the value of sine b is,
[tex]\sin b = -\dfrac{8}{17}[/tex]
The value of b is lies between 3π / 2 <b < 2 π. The value of the other side of the triangle using the Pythagoras theorem,
[tex]17^2={(-8)^2+y^2}\\y^2=289-64\\y=\sqrt{225}\\y=15[/tex]
Thus, the value of cos b is, 15/17. Put the values in above formula,
[tex]\cos (a+b)=\cos (a)\cos (b)-\sin (a)\sin (b)\\\cos (a+b)=\dfrac{3}{5}\times\dfrac{15}{17}-\dfrac{4}{5}\times\dfrac{-8}{17}\\\cos (a+b)=\dfrac{9}{17}+\dfrac{32}{85}\\\cos (a+b)=0.906[/tex]
Thus, the value of cos (a+b) when cos a= 3/5 with 0<a< π/2 and Sin b = - 8/17 with 3π / 2 <b < 2 π, is 0.906.
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what is 6 dived by 20?
Answers
Answer:
0.3
Step-by-step explanation:
Answer:
6 divided by 20 is 0.3
(your welcome)
Joel has a goal to practice his clarinet for 4 1/2 hours per week. The list below shows the number of hours Joel has practiced so far this week.
Monday: 1 1\2 hours
Wednesday: 1 1\4 hours
Thursday: 1 hour
How many more hours does Joel need to practice this week to meet his goal?
Answers
Answer: 3/4 hour
Step-by-step explanation: Add them all to get 3 3/4. subtract that from 4 1/2.
what is equal to 13 centimeters.
Answers
Answer:
5.11811 inches
Step-by-step explanation:
Find the value of y.
Answers
Answer:
this is your answer hope u like it
help is for today ( this is sets) pls
Of a group of 60 people, 26 speak French and 12 only French; 30 speak English and 8 only English; 28 speak German and 10 only German. It is also known that 1 speaks all 3 languages mentioned. How many speak English and German but not French?
Answers
Answer:
57
Step-by-step explanation:
There are 30 English
There are 28 German
There is one that speaks all 3
30 + 28 - 1 = 57
TriangleABC and triangle DEC are
A. Similar
B. Not similar
Answers
Answer:
i guess not similar....
Step-by-step explanation:
is it possible to write vector (-5,6) as a linear combination of vectors (1,2) and (3,4)
Answers
Answer:
Step-by-step explanation:
-5i+6j=x(1i+2j)+y(3i+4j)
-5=x+3y(multiply by 2)
6=2x+4y
-10=2x+6y
subtract
16=-2y
y=-8
-5=x+3(-8)
x=-5+24=19
-5i+6j=19(i+2j)-8(3i+4j)
so we can write (-5,6) as a linear combination of (1,2) and (3,4)
GIVING BRAINLIEST + STARS
I know A to B is 20m/s but what is C to D?
Answers
Answer:
See below ↓↓
Step-by-step explanation:
A to B
Avg. speed = Distance covered / Time takenAvg. speed = 200 m / 10 sAvg. speed = 20 m/sC to D
Avg. speed = Distance covered / Time takenAvg. speed = (500 - 200) m / (60 - 30) sAvg. speed = 300 m / 30 sAvg. speed = 10 m/sSuppose that 22% of people own dogs. If you pick two people at random, what is the probability that they both own a dog? Round to 2 places.
Answers
A.
B.
5x
x
=20
=4
1) How can we get Equation BBB from Equation AAA?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Multiply/divide both sides by the same non-zero constant
(Choice B)
B
Multiply/divide both sides by the same variable expression
(Choice C)
C
Add/subtract the same quantity to/from both sides
(Choice D)
D
Add/subtract a quantity to/from only one side
2) Based on the previous answer, are the equations equivalent? In other words, do they have the same solution?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
Yes
(Choice B)
B
No
Answers
Answer:
Divide both sides by 5.
Step-by-step explanation:
Divide both sides by same non-zero constant.
26 rooms on 2 floors = ____ rooms on 4 floors
Answers
Answer:
There would be 104 rooms on 4 floors in total.
Step-by-step explanation:
If there were 26 rooms on 2 floors, then you multiply 26 x 4, the result would be 104 rooms on 4 floors in total.
Answer:
52 rooms
Step-by-step explanation:
you could set up a proportion to solve this
26 rooms/ 2 floors = ?/4 floors
to find the answer for the question mark you can divide the amount of rooms by floors and get 13.
With the 13 you can multiply that by 4 to get 52 rooms. You basically used the 13 as the amount of increase
i hope this helped
if you have anymore questions feel free to ask again:3
The length of a rectangle is 10 ft less than three times the width, and the area of the rectangle is 77ft^2 . Find the dimensions of the rectangle.
Answers
Answer:
The dimensions of rectangle are 11 feet and 7 feet.Step-by-step explanation:
Given, The length of a rectangle is 10 ft less than three times the width, and the area of the rectangle is 77 ft²
Let's assume width of rectangle be x feet and Length of rectangle be 3x - 10. Using the formula of area of the rectangle we'll find the dimensions of the Rectangle.
[tex] \\ \dashrightarrow{ \red{\underline{\underline{\sf{Area (rectangle) = Length \times width }}}}} \\ \\ [/tex]
Substituting the required values:
[tex]\dashrightarrow \: \: (3x-10)(x) = 77 \\ [/tex]
[tex]\dashrightarrow \: \: 3x^2 - 10x = 77 \\ [/tex]
[tex]\dashrightarrow \: \: 3x^2 -10x -77 = 0 \\ [/tex]
[tex]\dashrightarrow \: \:3x^2 + 11x -21x -77 = 0 \\ [/tex]
[tex]\dashrightarrow \: \: x(3x+11)-7(3x+11) = 0 \\ [/tex]
[tex]\dashrightarrow \: \: (x-7)(3x+11) = 0 \\ [/tex]
[tex]\dashrightarrow \: \: { \red{\underline{\underline { x = 7 \: or \: \dfrac{-11}{3}}}} } \\ \\ [/tex]
Hence,
Width of rectangle = x = 7 feetLength of rectangle = 3x -10 = 3(7) - 10 = 11 feet[tex] \therefore[/tex] The required dimensions of rectangle are 11 feet and 7 feet.
The dimensions of the given rectangle with an area of 77 ft^2 and given dimensions are; Length = 11 ft and Width = 7 ft
How to find the Area of a rectangle?
Formula for area of a rectangle is;
A = Length * Width
We are given;
Length; L = 3W - 10
Thus;
Area; A = W(3W - 10)
Thus;
W(3W - 10) = 77
3W² - 10W - 77 = 0
Using online quadratic equation calculator, we have;
W = 7
Thus;
L = (3*7) - 10
L = 11 ft
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please help me out, simple
Answers
Reason: since the angle adjacent to ATC is 90° we can assume that ATC = 90°. Since ATB is 45° we can subtract this from ATC to get us 45° for BTC.
Answer:
Answer is 45⁰
Step-by-step explanation:
The angle ATB IS 45⁰
Solve the following system of equations:
{−3x+4y=7, 7x−12y=−11
Provide your answer below:
Answers
if the tempture is 39.2 degrees F what would the tempture be in celsius
Answers
Answer:
4 degrees celsius
Step-by-step explanation:
find the equation of the circle which passes through points
(3,-1), (3,9) and (-2,4)
Answers
OR if you are looking for point slope:
y+1=-1(x-3)
Mr. Ferarra is planning a field trip to the history museum for all of the students at his middle school. The school's buses can only transport 144 students. Mr. Ferarra needs to rent more buses for the remaining 290 students.
Answers
Answer:
[tex]s - 144 = 290[/tex]
[tex]s = 434[/tex]
Step-by-step explanation:
the keyword is remaining. Meaning the teacher slready has 144 reserved but needs to get 290 spots more.
Tim’s weight was 320 pounds in 2010 and is 180 pounds in 2020. What is the slope?
Answers
Answer:
-14
Step-by-step explanation:
We have two points
(2010, 320) and ( 2020, 180)
The slope is
m= ( y2-y1)/(x2-x1)
= ( 180-320)/(2020-2010)
= -140/10
= -14 lbs/ year
Find the median of the following data: 19, \ 21, \ 18, \ 17, \ 18, \ 22, \ 4619, 21, 18, 17, 18, 22, 46
Answers
Check the picture below.
