The work of a student to find the dimensions of a rectangle of area 8 + 12x and width 4 is shown below: Step 1: 8+12x Step 2: 4(4) +4(8x) Step 3: 4(4+8x) Step 4: Dimensions of the rectangle are 4 and 4+8x In which step did the student first make an error and what is the correct step?
a. Step 2;4(2)+4x(2)
b. Step 2;4(2)+4(3x)
c. Step 3;4+(4+8x)
d. Step 3;4+(4•8x)
PLEASE LEAVE EXPLENATION!! :)
Answers
Answer:
Step (2) is incorrect.
Step-by-step explanation:
The area of a rectangle is given by :
A = length × width
Area = 8+12x
Width = 4
Step 1: 8 + 12x
Step 2: 4(2) + 4(3x)
Step 3: 4(2 + 3x)
Step 4: Dimensions of the rectangle are 4 and 2 + 3x.
It means he has done a mistake in step (2). The correct step should be 4(2) + 4(3x).
Related Questions
Q1 ? Help Robert is 7 ½ years old. How many months old is he?
Answers
Answer:
Step-by-step explanation:
If Robert is 7 1/2 months old you need to multiply 7 1/2 by 12 because there are 12 months in a year.
7x12=84
1/2x12=6
6+84=90
Which of the following graphs Represents the equation above -3x+ 2 y=
Answers
Aka the first one.
Hope this helped:)
Can anyone help me answer this question?
f(x) = 5x^3 + 3x^2 - x/ x+2 and g(x) = x^2 - 1/ x - 1. Find the limit of f^2(x) as x approaches 2
Answers
The function limit of f(x) as x approaches 2 is 67 and the limit of f²(x) as x approaches 2 is 4489.
The function f(x) can be rewritten as:
f(x) = (5x³ + 3x² - x)/(x+2)
Using direct substitution, we see that f(2) is undefined, as the denominator of the function becomes 0.
To evaluate the limit, we can use L'Hopital's rule:
\(\lim_{x \to 2\\) f(x) = lim x→2 (5x³ + 3x² - x)/(x+2)
= \(\lim_{x \to 2\\) (15x² + 6x - 1)/(1)
= (15(2)² + 6(2) - 1)/(1)
= 67
To find the limit of f²(x) as x approaches 2, we can simply square the limit:
f(x) = \(\lim_{x \to 2\}\)f²(x)
= \(\lim_{x \to 2\) f²(x)
= 67²
= 4489
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michelle has four credit cards with the balances and interest rates listed below. She wants to pay off her credit cards one at a time, based on the interest rate. In which order should Michelle pay off her credit cards
Answers
Answer:
3,2,1,4
Step-by-step explanation:
i need help with this problem.
Sue decided to make more orange flavored desserts and picked more oranges. She used 1/6 gal less juice to make popsicles than to make candy. She used 1/3 gal more juice to make candy than to make sorbet. If she used 1/2 gal of juice to make the popcicles, how much juice did she use to make the sorbet? (Write your fraction answer like this. 1/2) Fill in the blank. Sue used_____ gallons of juice to make sorbet. *
Answers
Answer: 1/2
Step-by-step explanation:
In which of these situations do the quantities combine to make 0? 4 of 5 QUESTIONS A player in a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive. OA bird flies 25 feet up in the air. It then flies 25 feet across to its nest. Veronica receives $21 for babysitting. She then spends $21 on a new shirt. SUBMIT
Answers
The situation Veronica receives $21 for babysitting, and then spends the same amount, $21, on a new shirt quantities combine to make 0.The correct answer is option C.
When we add +21 (the money she receives) and subtract -21 (the money she spends), the result is 0. This means that the net change in Veronica's money is zero, indicating that the quantities combine to make 0.
In situations A, B, and D, the quantities do not combine to make 0. In situation A, the player earns 4 points for getting an answer right and then earns an additional 4 points for making it around the board.
The total points earned in this situation would be 8, which is not equal to 0.
In situation B, the car is initially filled with 10 gallons of gas, but then half of that, which is 5 gallons, is used on a day's drive. The remaining fuel in the car would be 5 gallons, which is also not equal to 0.
In situation D, the bird flies 25 feet up in the air and then 25 feet across to its nest. The total distance traveled by the bird would be 50 feet, which is not equal to 0.
Therefore, only in situation C, where Veronica receives and spends the same amount of money, do the quantities combine to make 0.
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The probable question may be:
In which of these situations do the quantities combine to make 0?
A. A player a game earns 4 points for getting an answer right. She then earns 4 points for making it around the board.
B. A car is filled with 10 gallons of gas. Half of the 10 gallons are then used on a day's drive.
C. Veronica receives $21 for babysitting. She then spends $21 on a new shirt.
D. A bird flies 25 feet up in the air. It then flies 25 feet across to its nest.
What is the domain ?
Answers
The domain of the given set of functions is (Alex, Alesia, Bob, Yolanda, Maria , Elvis)
What is Domain ?The collection of all potential inputs for a function is its domain. Think of this box as the f(x) = 2x function. The domain is only the collection of natural numbers when the input values are x = 1,2,3,4,..., and the values that are returned are referred to as the range.
The collection of all a function's outputs is its range. Example: Let's have a look at the function f: A-> B, where f(x) = 2x and A and B each represent a "collection of natural numbers." The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.
The range of values that we are permitted to enter into our function is known as the domain of a function. The x values for a function like f make up this set (x). A function's range is the collection of values it may take as input. After we enter an x value, the function outputs this sequence of values.
The domain of the given set of functions is (Alex, Alesia, Bob, Yolanda, Maria , Elvis)
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Given the parent function f(x)= ???
in red, write the equation for the transformed function g(x)
in green in terms of f(x)
.
Answers
It says they start by pointing east and then turn left. So why are you turning all the way around and going 180degrees back instead of just turning left ( 90 degrees) and heading up first?
Answers
Answer:
because east to west
Step-by-step explanation:
east to south to north to east
2+2=
a. 3
b. 5
c. 4
d. 7
Answers
Answer:
C
Step-by-step explanation:
2
+2
-----
4
Mr Wilinks deposited $1,500 in a new account at his bank. The bank pays 2.5% interest compounded annually on his account. Mr Wilinks makes no additional deposits or withdrawals. What is the balance of the account at the end of 4 years?
Answers
What is the sum of 1 2 + 1 4 ?
Answers
Answer:
Dude thats so easy, the SUM is addition. Its 26.
he probability that a blue marble will be selected from a bag containing 9 red marbles, 6 blue marbles, 7 green marbles, and 11 yellow marbles if one is selected randomly?
Answers
Answer:
27\(\frac{3}{11}\)%
Step-by-step explanation:
To find the probability of something, we can present the number of correct possible outcomes to the total possible outcomes.
Correct possible outcomes = 6
Total possible outcomes = 9 + 6 + 11
= 22
Probability of selecting blue = \(\frac{6}{22}\)
= \(\frac{3}{11}\)
= 27\(\frac{3}{11}\)%
HELP!!! WILL GIVE BRAINLIEST +LIKE AND 5 STARS ANSWER THE QUESTION IN THE PICTURE
Answers
Answer:
omg lol look at the picture are u that guy
Step-by-step explanation:
its me from web2.0 :KOBE2482
D its D
if you take away 25 from a number you will be left with two and halftimes 30. what is the number?
Answers
If you take away 25 from (100) you get 75.
70 also equals 2.5*30
please help it’s due tomorrow
[x + y = -4
[x - y = 2
Answers
Answer:
which one substitution or elimination
Step-by-step explanation:
Substitution: (-1,-3 )
Elimination: (-1,-3)
i hope this helps you :)
Please mark me brainlest
11) 576 + m = 1000 for m = 524
True or false
Answers
M=424
Answer:
False
Step-by-step explanation:
M= 424
prob ion know but yeah
A his herd of cows among his 4 sons he gave one son half the herd a second son one fourth of the herd a third son one fith of the herd and the fourth son 48 cows how many cows were in the herd originally
Answers
Answer:
Let the total number of cows in the herd be represented by "x". Then, according to the problem:
The first son received half the herd, or (1/2)x cows.
The second son received one fourth of the herd, or (1/4)x cows.
The third son received one fifth of the herd, or (1/5)x cows.
The fourth son received 48 cows.
We can write an equation to represent the total number of cows in the herd:
(1/2)x + (1/4)x + (1/5)x + 48 = x
To solve for "x", we can start by simplifying the fractions:
5/10x + 2/10x + 2/10x + 48 = x
Combining like terms, we get:
9/10x + 48 = x
Subtracting 9/10x from both sides, we get:
48 = 1/10x
Multiplying both sides by 10, we get:
x = 480
Therefore, the original herd had 480 cows.
For the parabola given by 4y – 9 = x2 – 6x, find the vertex and focus.
Answers
Solution
Gievn the equation below
\(4y-9=x^2-6x\)To find the vertex and focus of the given equation, we apply the parabola standard equation which is
\(4p(y-k)=(x-h)^2\)Where p is the focal length and the vertex is (h,k)
Rewriting the equation in standard form gives
\(\begin{gathered} 4y-9=x^2-6x \\ 4y=x^2-6x+9 \\ 4y=x^2-3x-3x+9 \\ 4y=x(x-3)-3(x-3) \\ 4y=(x-3)^2 \\ 4(1)(y-0)=(x-3)^2 \end{gathered}\)Relating the parabola standard equation with the given equation, the vertex of the parabola is
\(\begin{gathered} x-3=0 \\ x=3 \\ y-0=0 \\ y=0 \\ (h,k)\Rightarrow(3,0) \\ p=1 \end{gathered}\)Hence, the vertex is (3,0)
The focus of the parabola formula is
\((h,k+p)\)Where
\(\begin{gathered} h=3 \\ k=0 \\ p=1 \end{gathered}\)Substitute the values of h, k and p into the focus formula
\((h,k+p)\Rightarrow(3,0+1)\Rightarrow(3,1)\)Hence, the focus is (3, 1)
the product of two consecutive odd numbers is 1023
Answers
An oil change at Instant Auto Service is regularly $35. Mr. Oliver has a coupon for 25% off.
He wants to know the sale price of the service.
Regular Price
) What is the relationship between the sale price
and the regular price of an oil change?
.) The sale price is 75% % of the regular price.
100
%
$
35
Which equation can be used to find the sale
price, s, of an oil change?
Sale Price
Discount
75
%
25
%
S=0.75 : 35
S= 75.35
$
$
s = 0.75(35)
s = 75 : 35
Answers
9514 1404 393
Answer:
The sale price is 75% % of the regular price.s = 0.75(35)Step-by-step explanation:
The first part of the question appears to be answered already:
The sale price is 75% % of the regular price.
__
The equation representing this fact is ...
s = 0.75(35)
The owner of the Texans football team wants to paint their red, white, and blue logo on the side of a building at their training facility. However, the existing paint, which would comprise the background for the logo, is beginning to deteriorate. The owner is considering re-painting the building with a special weatherproof paint prior to adding the logo. If the special background paint costs $1.25 per square foot, how much money will the owner have to spend on the paint for the background
Answers
Answer:
$393.75
Step-by-step explanation:
cost of special background paint = $1.25 per square foot
Area of background = area of triangle + area of rectangle
= 1/2 ( b*h) + L * B
= 1/2 ( 5 * 6 ) + 5 * 4 = 15 + 20 = 35 yd^2
Given that 1 yd^2 = 9 ft^2
35 yd^2 = ( 9 * 35 ) ft^2
Hence area of background = 315 ft^2
Cost = 315 * 1.25 = $393.75
pls help me on algebra here is screenshot
Answers
Answer:
The answer to the question provided is option 2.
How do you write 13,507,804 in wird firm
Answers
Answer:thirteen million, five hundred seven thousand, eight hundred four
Step-by-step explanation:
I think :)
What is the equation to 6x=0.4
Answers
Answer:
Step-by-step explanation:
15
How many and of which kind of roots does the equation f(x)=x^3+2x^2+4x+8 have?
Answers
The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.
What kind of roots does have a cubic equation?
In this problem we have a cubic equation and the nature of their roots must be inferred according to a algebraic method.
Cubic equations are polynomials of the form y = a · x³ + b · x² + c · x + d, there is a method to infer the nature of the roots of such polynomials: The discriminant from Cardano's method, an analytical method used to solve polynomials of the form a · x³ + b · x² + c · x + d = 0.
The discriminant is described below:
Δ = 18 · a · b · c · d - 4 · b³ · d + b² · c² - 4 · a · c³ - 27 · a² · d² (1)
Where:
There are three distinct real roots for Δ > 0.Real roots with multiplicity greater than 1 for Δ = 0.A real root and two complex roots for Δ < 0.If we know that a = 1, b = 2, c = 4 and d = 8, then the nature of the roots is:
Δ = 18 · 1 · 2 · 4 · 8 - 4 · 2³ · 8 + 2² · 4² - 4 · 1 · 4³ - 27 · 1² · 8²
Δ = - 1024
The cubic equation f(x) = x³ + 2 · x² + 4 · x + 8 has one real root and two complex roots.
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A package of 88 batteries costs $ 4 . 724.72 .
What is the cost per battery?
Answers
We get that the cost of the battery is $ 8.24 per battery.
We are given that the cost of 88 batteries = $ 724.72
We need to find the cost of one battery.
We will do this by diving the cost of 88 batteries by 88.
Using division, we get that:
cost of one battery = $ 724.72 ÷ 88
Simplifying the expression, we get that:
cost of one battery = $ 8.24 per battery.
Therefore, we get that the cost of the battery is $ 8.24 per battery.
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A rectangle has a length of 15 cm and a width of 11 cm. What is its perimeter?
54 cm
52 cm
165 cm
26 cm
Answers
Answer:
52 cm
Step-by-step explanation:
perimeter = 2(length) + 2(width) for a rectangle.
2(15)+2(11)=52 cm
Answer:
52
Step-by-step explanation:
i got 100% on the quiz i got all the answers
math math math math math math math
Answers
The angle m∠JIX is 90 degrees.
How to find angles in line intersection?IX is perpendicular to IJ. Therefore, angle m∠JIX is 90 degrees.
IG bisect CIJ. Hence,
m∠CIG ≅ m∠GIJ
Therefore,
m∠CIX = 150 degrees
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90 degrees because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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The measure of angle m∠JIX is estimated to be 90⁰.
How to find the angles?You should understand that an angle is a figure formed by two straight lines or rays that meet at a common endpoint, called the vertex.
IX is perpendicular to IJ. Therefore, angle m∠JIX is 90⁰.
Frim the given parameters,
IG⊥CIJ.
But; m∠CIG ≅ m∠GIJ
⇒ m∠CIX = 150⁰
Hence, let's find m∠JIX.
Therefore, m∠JIX is 90⁰ because IX is perpendicular to IJ. Perpendicular lines forms a right angle.
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Eumin pays $3.56 for 4 juice boxes.
How much would Eumin pay for 7 juice boxes?
Enter your answer in the box.
Answers
Answer:
No, You divide 3.56/4 and you get 0.89 and then after that you multiply it by 7 so you do0.89x7=6.23
Step-by-step explanation: