Answer:
x² - 2x - 180 = 0
Step-by-step explanation:
A square piece of paper has an area of x² square units
w = x
l = x
A rectangular strip with a width of 2 units and a length of x units is cut off of the square piece of paper.
this leaves
l = x
w = x - 2
x(x - 2) = 180
x² - 2x = 180
x² - 2x - 180 = 0
Answer:
x2 − 2x − 120 = 0
Step-by-step explanation:
Area of Square-A square's area is calculated by multiplying each side's length by itself. That is, Area A = s x s, with s denoting the length of each square side. A square with each side measuring 8 feet in length has an area of 8 times 8, or 64 square feet.
Given data is-Let x the length side of the original square paper
we know that the area of the original square paper is equal to
[tex]A1=x*x=x^{2} units{2}[/tex]
the area of the remaining piece of paper is equal to
[tex]$A 2=x^{2}-2 x$\\$A 2=120$ units $^{2}$[/tex]
so
[tex]$x^{2}-2 x=120$$x^{2}-2 x-120=0$[/tex]
therefore, the side length of the original square is x2 − 2x − 120 = 0
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Constant of Variation
State the relationship between the graphs of f(x) and g (x)
f(x) = -5/x, g )x) 5/x
a. f and g are reflections of each other about the y-axis.
b. f and g are reflections of each other about the x-axis.
c. g is shifted to the left 5 units relative to f, otherwise they are the same.
d. g is shifted to the right 5 units relative to f, otherwise they are the same.
Please select the best answer from the choices provided.
Answer:
B. f and g are reflections of each other about the y-axis.
Step-by-step explanation:
I calculated it logically
f = 4i - 7j
v = 9i - 2j
Find: -f + v
Answer:
−f+9i−2j
Step-by-step explanation:
How do I deposit more money into my bank account
When you deposit cash at a bank or credit union, you typically need to use a deposit slip. That's simply a slip of paper that tells the teller where to put the money. Write your name and account number on the deposit slip (deposit slips are usually available at the lobby or drive-throug).
Is the equation a linear function?
y = -x + 3
Answer:
x=3
Step-by-step explanation:
y=-x+3
0=-x+3
x=3
Using the digits 1 to 9, at most one time each, fill in the boxes to make the
following expression as close to O as possible.
1
V
OTVO
Answer:
Step-by-step explanation:
0
Ejercicio sobre intereses de un capital.
Answer:
ooof
Step-by-step explanation:
yeah you wouldn't like me doin that so alllllll
Dave is purchasing a television that is priced at 455.50. There is a 6% sales tax rate. What is the total cost of the television after tax?
Answer:
$482.83
Step-by-step explanation:
Before Tax Price: $455.50
Sale Tax: 6.00% or $27.33
After Tax Price: $482.83
I really hope you guys will help me
Answer:
I think its
ai. fx-f3
ii. 5gx
pls pls pls 4/1 68 The angle that is an alternate exterior angle with angle 2 is angle [?] 57 3/2 A. 3 B. 4 C. 5 D. 6
Answer:
B. 4
Step-by-step explanation:
∠4 is an alternate exterior angle with ∠2 because both angles are on the exterior of the lines, and lie on opposite ends on the transversal.
The angle that is an alternate exterior angle with angle 2 is angle 4.
What are Parallel lines?Parallel lines are those lines that are equidistance from each other and never intersect each other.
Given that;
The figure is shown in figure.
Now,
Since, ∠4 is an alternate exterior angle with ∠2 because both angles are on the exterior of the lines, and lie on opposite ends on the transversal.
Hence, ∠4 is an alternate exterior angle with angle 2.
Thus, The angle that is an alternate exterior angle with angle 2 is angle 4.
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Yonghui works as a waiter in a Chinese restaurant. He got $104 tip on Monday and $59 more on Tuesday. How much did he get on Tuesday?
Answer:
163$
d#ddddddddddddd
Step-by-step explanation:
104+59=163
3. Create a Venn diagram or Table with numbers for:
A group of 80 students were asked if they were taking science or art.
10 were taking neither, 50 were taking science, 30 were taking art.
Answer:
10 students were taking science and art at the same time.
Step-by-step explanation:
Given that a group of 80 students were asked if they were taking science or art, of which 10 were taking neither, 50 were taking science, and 30 were taking art, to determine how many students take both science and art, the following calculation must be done:
80 - 10 = 70
50 - 30 - 70 = X
80 - 70 = X
10 = X
Therefore, 10 students were taking science and art at the same time.
Hi, i need to calculate roots x1 and x2 using the vieta theorem, can anyone help me? I have found the answer for x1 and x2, its 1,5 and 2, all i need is a solution on how to get this answer, the equation is in the picture, will give you brainliest if you type down the correct solution for me, thanks.
I have left a similar equation that i did. The only thing why i cant do the equation, because in front of x2 there’s an number, so i don’t understand.
Answer:
Solution given:
x²-12x+11=0
Comparing above equation with ax²+bx+c
we get
a=1
b=-12
c=11
By using Vieta's theorem
X1+X2=[tex] \frac{-b}{a} [/tex]=[tex] \frac{- -12}{1} [/tex]=12
again
X1X2=[tex] \frac{c}{a} [/tex]=[tex] \frac{11}{1} [/tex]=11
x1.x2=11
x1+x2=12
When factoring the difference of two squares, what will the signs in the parenthesis be
Answer:
The signs will be + and -
Step-by-step explanation:
Required
The signs in the parenthesis of difference of two squares
Let the expression be:
[tex](x^2 - a^2)[/tex]
Expand
[tex]x^2 - a^2 = x^2 -ax + ax - a^2[/tex]
Factorize
[tex]x^2 - a^2 = x(x -a) + a(x - a)[/tex]
Factor out x - a
[tex]x^2 - a^2 = (x +a)(x - a)[/tex]
See that the sign in front of a is + and - in the parentheses
right three million, eight hundred sixty-two thousand, seven hundred ninety-five standard: and expanded:
Answer:
Expanded: 3,000,000- 800,000- 60,000- 2,000- 700- 90- 5
Standard: 386,2795
Hope this helps!!
A mechanic repaired 12 cars one day,
but the next day they repaired 7 cars.
What was the percent change?
Answer:
78
Step-by-step explanation:
when there is a five car diffrence its possible
The width of a rectangle is 3 units less than the length. The area of the rectangle is 4 Units What is the length, in units, of the rectangle?
Answer: 4 units
Step-by-step explanation: IT cant be 2x2 or else it would be a square
so it would have to be that the width is 1 unit and the lenght is 4 units.
I need help..What’s the answer
Answer:
D. 3,750
Step-by-step explanation:
Use proportions to solve:
125/500 = x/15000
Cross multiply:
125*15000 = 1,875,000
1,875,000/500 = 3,750
x = 3,750
Help will be appreciated
Jamie wants to make a playlist with 8 songs on her iPod. She has 50 songs to choose from, including 15 songs from Maroon 5. Janine's iPod won't allow any song to appear more than once in a playlist. How many different sets of 8 songs are for Janine's playlist. Assume that the order doesn't matter?
Step-by-step explanation:
just pick the favorite songs
whats 1892 x 37202002 / 2?
Answer:
1dp 3.5 2dp 3.52
Step-by-step explanation:
Suppose that 50% of the watches produced by a certain factory are defective. A store buys a box with 400 watches produced by this factory. Assume That this is a random sample.(a) Write an expression for the exact probability that at least 215 watches out ofthe 400 are defective. You do not need to numerically evaluate it.(b) Argue whether the normal or the Poisson approximation is appropriate to es-timate the above probability and then estimate it.
Answer:
[tex](a)\ P(x \ge 215)[/tex]
[tex](b)\ P(x \ge 214.5) = 0.07353[/tex]
Step-by-step explanation:
Given
[tex]p = 0.50[/tex] ---- proportion of watches with defects
[tex]n = 400[/tex] --- Number of watches
Solving (a): Represent at least 215 of 400 are defective
In inequalities, at least means: [tex]\ge[/tex]
So, the probability is represented as: [tex]P(x \ge 215)[/tex]
Solving (b): Calculate [tex]P(x \ge 215)[/tex]
Normal or Poisson: Normal distribution is characterized by 2 parameters [tex]\mu[/tex] and [tex]\sigma[/tex].
These two parameters can be easily calculated from the given parameters in the question. So, we solve using normal distribution
Start by calculating the mean
[tex]\mu =np[/tex]
[tex]\mu = 0.50 * 400[/tex]
[tex]\mu = 200[/tex]
Calculate standard deviation
[tex]\sigma = \sqrt{\mu (1 - p)[/tex]
[tex]\sigma = \sqrt{200 * (1 - 0.50)[/tex]
[tex]\sigma = \sqrt{200 * 0.50[/tex]
[tex]\sigma = \sqrt{100[/tex]
[tex]\sigma = 10[/tex]
By continuity correction, we have:
[tex]x \to x - 0.5[/tex]
[tex]x \to 215 - 0.5[/tex]
[tex]x \to 214.5[/tex]
So, we have:
[tex]P(x \ge 215) = P(x \ge 214.5)[/tex]
Calculating [tex]P(x \ge 214.5)[/tex], we have:
[tex]P(x \ge 214.5) = 1 - P(x < z)[/tex]
Calculate z score
[tex]z = \frac{x - \mu}{\sigma}[/tex]
[tex]z = \frac{214.5 - 200}{10}[/tex]
[tex]z = \frac{14.5}{10}[/tex]
[tex]z = 1.45[/tex]
So, we have:
[tex]P(x \ge 214.5) = 1 - P(x < 1.45)[/tex]
Using the z score probability table, we have:
[tex]P(x < 1.45) = 0.92647[/tex]
So, we have:
[tex]P(x \ge 214.5) = 1 - 0.92647[/tex]
[tex]P(x \ge 214.5) = 0.07353[/tex]
Confusion help please
Answer:
4
Step-by-step explanation:
Answer:
Step-by-step explanation:
what do u need help with
Pls help pls help plssssss
Answer:
3^12
when we see a number above a number in roots we Multiply
then we will find 3¹⁰/3-² in devide we Take number so its 10-(-2)=12
hopefully its helpful
Answer:
3^12 hope this helped :)
Step-by-step explanation:
(3^5)^2 = 3^10
3^10 ÷ 3^-2
10--2=12
3^12
I need some help please
9514 1404 393
Answer:
(d) {-7, -2, 11, 20}
Step-by-step explanation:
You can put the domain values into the function and evaluate to find the corresponding range values. Here, we'll do them "all at once."
y = 3{-4, -1, 2, 5} +5
= {-12, -3, 6, 15} +5
= {-7, 2, 11, 20} . . . . . matches choice d
_____
To save yourself some arithmetic, you can observe that the answer choices differ in the 2nd and 4th values, so you only need to evaluate the function for x=-1 or x=5 to determine the correct answer choice.
Find the unknown dimension of a rectangle if its perimeter is 254 meters and one dimension measures 6 meters. Use labeled sketches and equations to model and solve this problem. Show your work. Label your answer with the correct units.
please answer
Answer:2
Step-by-step explanation:
Hurry. !!! The formula A = 6s' gives the surface
area A of a cube with a side length s.
What is the surface area of a cube that
has a side length of 5 inches?
A. 25 square inches
B. 125 square inches
C. 150 square inches
D. 300 square inches
What is the radius of the circle given by the equation below? x2 + 14x + y2 - 14y = -73
Answer:
5
Step-by-step explanation: 5/13 8 48
graph the function, center the center of the circle find the difference between the center and the circle
center at (-7, 7)
sorry I don't know how to find it mathematically. I'll try to figure out later, if you need an mathematically solution.
Find the surface area and volume of the figure. Round to the nearest tenth.
If Bill hiked 6.5 miles at a rate of 10.4 mph, how long did it take him to complete his hike?
Answer:
I think it depends how far bill wants to hike..
Step-by-step explanation:
QUESTION 2
Find the circumference of circle with a radius of 17 yards
Round to the nearest hundredth (Use 2 decimal places)
QUESTION 3
in that has a diameter of 10
Answer: 106.76yards
Step-by-step explanation:
Circumference of a circle is given as:
= 2πr
where,
π = 3.14
r = 17 yards
Circumference = 2πr
= 2 × 3.14 × 17.
= 106.76yards
Therefore, the circumference of the circle will be 106.76yards
