Identify the errors made in finding the inverse of
y = x2 + 12x.
x= y2 + 12x
y2 = x - 12x
y2=-11x
y=-11x, for x > 0
Describe the three errors?
Answers
Step-by-step explanation:
y = x2 + 12x.
x= y2 + 12x would also be 12 y
y2 = x - 12x would be -x
y2=-11x
y=[tex]\sqrt{-11x}[/tex], for x > 0 negative square root not possible
Describe the three errors?
The three errors made in finding the inverse of y = x² + 12x are,
⇒ First mistake to write 12y in place of 12x.
⇒ Second mistake to write the expression y² = x - 12x.
⇒ Third mistake because it never possible negative square root for x > 0.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
We have to given that;
The expression is,
⇒ y = x² + 12x
Here, The process are,
⇒ y = x² + 12x.
⇒ x = y² + 12x
There is first mistake to write 12y in place of 12x.
⇒ y² = x - 12x
There is second mistake.
⇒ y² = -11x
⇒ y = √-11x, for x > 0
There is third mistake because it never possible negative square root for x > 0.
Learn more about the mathematical expression visit:
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Related Questions
HELP ASAP (1O BRAILY/POINTS FOR ANSWER)
What is the value of x in the solution of the system?
x + y = 3
y = -6x + 3
Answers
Step-by-step explanation:
x + y = 3 ---------------- eqn 1
y = -6x + 3 ------------- eqn 2
Substitute y for -6x + 3 in equation 1
x + -6x + 3 = 3
x - 6x + 3 = 3
-5x + 3 = 3
Collect like terms
-5x = 3 - 3
-5x = 0
Divide both sides by -5
x = 0
Hope this helped!
Step-by-step explanation:
x + y = 3 ---------------- eqn 1
y = -6x + 3 ------------- eqn 2
Substitute y for -6x + 3 in equation 1
x + -6x + 3 = 3
x - 6x + 3 = 3
-5x + 3 = 3
Collect like terms
-5x = 3 - 3
-5x = 0
Divide both sides by -5
x = 0
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the product of 9/10 and 8/9 is...
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B: between 1 and 2
C: between 2 and 3
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Police stop a truck at a check post which claims to be carrying sacks of Humic Acid Sodium, a black, water-soluble fertilizer. When the truck is examined, it is found to have sacks of at least four different materials which the police label W, X, Y and Z. They suspect that apart from the fertilizer, the truck is carrying iron filings, gunpowder, and black powdered wood. They conduct some tests whose results are as follows:
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Answers
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given the side lengths of 6, 13, and 20, determine whether the triangle is acute , right , obtuse, or not a triangle.
Answers
Answer:
Not a triangle.
Step-by-step explanation:
Sum of the two smaller sides must be greater than the largest side.
Perimeter of 316 and 67 m
Answers
Answer:
383 m
Step-by-step explanation:
Please mark brainliest if helpful!
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Answer:
D. 7
Step-by-step explanation:
substitute -1 everywhere there is an x
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5-(-2) add
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What is the value of x in x+y=-10 and x-y=2
Answers
Answer:
x = -4
Step-by-step explanation:
x+y = -10 -------- (1)
x-y = 2 ------- (2)
from (1)
x+y = -10
y = -10-x -------- (3)
substitute (3) into (2)
x-y = 2
x-(-10-x) = 2
x+10+x = 2
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2x = -8
x = -8/2
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X=-Y-10
Answer= X= -Y-10
X-Y=2
Answer X=Y+2
State whether a cumulative frequency, relative frequency, relative percent, cumulative relative frequency, or cumulative percent is most appropriate for describing the following situations. For cumulative distributions, indicate whether these should be summarized from the top down or from bottom up.
a. The frequency of business with at least 20 employees.
b. The frequency of college students with less than a 3.0 GPA.
c. The percentage of women completing 1, 2, 3, or 4 tasks simultaneously.
d. The proportion of pregnancies performed in public or private hospitals. e. The percentage of alcoholics with more than 2 years of substance abuse.
Answers
Step-by-step explanation:
a. The correct answer is 1) Cumulative frequency.
b. The correct answer is 2) Relative frequency.
c. The correct answer is 4) Cumulative relative frequency.
d. The correct answer is 3) Relative percent.
e. The correct answer is 5) Cumulative percent.
What is the product of the expression (2x + - 4)(x - 6)?
Answers
Answer:
(2x+-4=6-
We move all terms to the left:
(2x+-4-(6-)=0
We add all the numbers together, and all the variables
(2x+-4-0=0
We use the square of the difference formula
(2x-4-0=0
Step-by-step explanation:
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Answers
Answer:
w≥31.25
Step-by-step explanation:
175+8w≥425
-175 -175
8w≥250
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w≥31.25
Answer:
X is greater than or equal to 125/4
Step-by-step explanation:
Subtract 175 from both sides which will turn 425 into 250
Divide 8 from 8x to the other side to turn 250 into 125/4
In the end, you get X is greater or equal to 125/4
I need help with this
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Answer:
c)
Step-by-step explanation:
Is this a function???
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Answer:
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Step-by-step explanation:
yeah no
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Answer:
yes
Step-by-step explanation:
i think,because it goes past the center it all
2x+3/4 = x+7/3
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2x - x = 7/3 - 3/4 <=>
x = 28/12 - 9/12 <=>
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Answers
Answer:
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Step-by-step explanation:
Identify the independent and dependent variable of the following graph. Indicate whether the graph rises, falls, or is constant. Annual gross income in relation to number of years.
a. Independent Variable: time, dependent variable: annual income Graph falls and then steadily rises.
b. Independent Variable: annual income, dependent variable: time Incomes rises steadily then drops off sharply before beginning to rise again.
c. Independent Variable: annual income, dependent variable: time Income remains steady throughout time.
d. Independent Variable: time, Dependent Variable: annual income. Income rises steadily then drops off sharply before beginning to rise again.
Answers
Answer:
d number is the correct answer of the question
Answer:
d. Independent Variable: time, Dependent Variable: annual income
Income rises steadily then drops off sharply before beginning to rise again
Step-by-step explanation:
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Answers
Answer:
15
Step-by-step explanation:
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Answers
Explanation: The graph’s “ends” show arrows, which means the lines will go on forever. Since the lines are going on forever across the y-axis, the range is all real numbers.
ABCDE is a regular pentagon. Find each lettered angle measure.
Answers
Answer:
x° = 36°, y° = 36°, z° = 72°
Step-by-step explanation:
Each interior angle of a regular polygon is given by the following formula;
Interior angle = (n - 2)×180°/n
Where;
n = The number of sides on the polygon
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n = 5, therefore;
Interior angle = (5 - 2)×180°/5 = 108°
ΔDCA is an isosceles triangle, with the segments CD and CA being equal, therefore;
∠ADC = ∠DAC = x°, and ∠ACD = 108°
Therefore
x° = (180° - 108°)/2 = 36°
x° = 36°
∠BAC = 2·x° + y° = 108°
∴ y° = 108° - 2·x° = 108° - 2 × 36° = 36°
y° = 36°
ΔADE is an isosceles triangle, with segments AD and AE equal, therefore, the base angles are z° each
Therefore, in ΔADE, we have;
z° = (180° - 36°)/2 = 72°
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Find the height of the pyramid.
Volume
392 cm3
14 cm
7 cm
The height is
centimeters.
Answers
Answer:
12 cm
Step-by-step explanation:
Base area
14 x 7 = 98 cm²
The volume of pyramid
392= 1/3 x height x base area
Height =12 cm
A 15-foot statue casts a 20-foot shadow. How tall is a person who casts a 4-foot-long shadow?
Answers
Answer:
3 ft.
Step-by-step explanation:
15:20 and x:4 you can cross multiply or if you reduce 15:20, the answer is 3:4
if 7/12 is multiplied by a fraction less than 1 what would be the product
Answers
Answer:
Examples below
Step-by-step explanation:
We have the fraction
[tex]\frac{7}{12}[/tex]
It's required to multiply it by any fraction less than 1. Let's select the following fractions. All of them are less than 1 because the numerator is less than the denominator:
[tex]\frac{1}{7}[/tex]
[tex]\frac{4}{5}[/tex]
[tex]\frac{6}{35}[/tex]
The required products are:
[tex]\frac{7}{12}\cdot \frac{1}{7}=\frac{7}{7*12}=\frac{1}{12}[/tex]
[tex]\frac{7}{12}\cdot \frac{4}{5}=\frac{4*7}{12*5}=\frac{7}{15}[/tex]
[tex]\frac{7}{12}\cdot \frac{6}{35}=\frac{6*7}{12*35}=\frac{1}{10}[/tex]
The question is below thanks
Answers
Answer:
AC = 49
Step-by-step explanation:
Using the Altitude - on - Hypotenuse theorem
(leg of large Δ )² = (part of hypotenuse below it ) × (whole hypotenuse)
BC² = DC × AC, substitute values
14² = 4 × x
196 = 4x ( divide both sides by 4 )
49 = x
Thus AC = x = 49
Step-by-step explanation:
pythogoream theorem.(hyp^2=opp^2+adj^2)
hyp=14 adg=4 opp=?
since we have to find opp
opp^2=hyp^2-adj^2
opp^2=14^2-4^2
196-16=180
[tex] \sqrt{180} [/tex]
BD= 13.41
(Q as theta)
sinQ= opp÷hyp
= 13.41÷14
Q=sin^-1(13.4÷14)
Q=73.33
cosQ=adj(AD)÷hyp(BC)
cos 73.33× 14 =adj
AD=4.01
Therefore, AC =AD +DC(4.01+4)
=8.01
I am not sure....but I got this much
how many milligrams (mg) are
in a levothyroxine 88mcg tablet?
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Help ASAP!!!!!A side of the triangle below has been extended to form and exterior angle of 159 degrees.Find the value of s
Answers
Answer:
x=21
Step-by-step explanation:
45+x+the last angle=180
x+159=180
180-159=21
21+45= 66
180-66=114
so i think x would be 21 degrees but im not entirely sure do not quote me on this sorry
A customer ordered a product online for $299 and was charged an additional $10 for shipping and handling. The customer received a rebate of $99 and a $25 credit for turning in an old cell phone. After a tax of 4% was applied, how much did the customer pay for the product?
Answers
Answer:
the amount paid by the customer for the product is $192.40
Step-by-step explanation:
The computation of the amount paid by the customer for the product is shown below:
= Total amount + Total amount × tax rate
= ($299 + $10 - $99 - $25) + ($299 + $10 - $99 - $25) × 0.04
= $185 + 185 × 0.04
= $185 + $7.4
= $192.40
Hence, the amount paid by the customer for the product is $192.40
We simply applied the above formula so that the correct value could come
And, the same is to be considered
5.46 in fraction form HURRY
Answers
Answer:
Id assume its 5 23/50..correct me if I'm wrong its been quite some time since I've dealed with decimals to fractions.
Step-by-step explanation:
Answer:
f
Step-by-step explanation:
Do you want to know how to write the decimal number 5.46 as a fraction?
Here we will show you step-by-step how to convert 5.46 so you can write it as a fraction.
You can take any number, such as 5.46, and write a 1 as the denominator to make it a fraction and keep the same value, like this:
5.46 / 1
To get rid of the decimal point in the numerator, we count the numbers after the decimal in 5.46, and multiply the numerator and denominator by 10 if it is 1 number, 100 if it is 2 numbers, 1000 if it is 3 numbers, and so on.
Therefore, in this case we multiply the numerator and denominator by 100 to get the following fraction:
546 / 100
Then, we need to divide the numerator and denominator by the greatest common divisor (GCD) to simplify the fraction.
The GCD of 546 and 100 is 2. When we divide the numerator and denominator by 2, we get the following:
273 / 50
Therefore, 5.46 as a fractio
HELP GIVEING BRAINLIST What is the solution set of -11 > 1 + a?
a > -10
a -12
a < -10
a < - 12
Answers
Answer:
the solution set is -11 > 1 + a?
a > -10
a -12
a < -10
Please help fast, thanks.
Answers
Answer:
b
Step-by-step explanation: