Answer:
I. m = 2401
II. ((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]
Step-by-step explanation:
I. Determination of m
x ∆ y = x² − 2xy + y²
2 ∆ − 5 = √m
2² − 2(2 × –5) + (–5)² = √m
4 – 2(–10) + 25 = √m
4 + 20 + 25 = √m
49 = √m
Take the square of both side
49² = m
2401 = m
m = 2401
II. Simplify ((n+1) ∆ y)/n
We'll begin by obtaining (n+1) ∆ y. This can be obtained as follow:
x ∆ y = x² − 2xy + y²
(n+1) ∆ y = (n+1)² – 2(n+1)y + y²
(n+1) ∆ y = n² + 2n + 1 – 2ny – 2y + y²
(n+1) ∆ y = n² + 2n – 2ny – 2y + y² + 1
(n+1) ∆ y = n² – 2ny + y² + 2n – 2y + 1
(n+1) ∆ y = n² – ny – ny + y² + 2n – 2y + 1
(n+1) ∆ y = n(n – y) – y(n – y) + 2(n – y) + 1
(n+1) ∆ y = (n – y + 2)(n – y) + 1
((n+1) ∆ y)/n = [(n – y + 2)(n – y) + 1] / n
((n+1) ∆ y)/n = 1/n[(n – y + 2)(n – y) + 1]
A checker board is a square board that is divided into smaller squares, with eight squares along each side. Describe how to find the number of small squares on a checker board without counting.
In grade 6, there are 40 students. There are 8 girls, find the percentage of the boys?
Answer:
[tex]40 - 8 = 32 \\ \frac{32}{40} \times 100 \\ = 80\%[/tex]
Consider the difference below.
x-3/x^2-x-5 - 5/8x
Place the steps require to simplify the given difference of two expressions into one, simplified rational expression in the correct order.
Answer: x-3/(x-3)(x+2) - 5/8x ➡️ 1/x+2 - 5/8x ➡️ 8x-5(x+2)/(x+2)(8x) ➡️ 3x-10/8x^2+16x
Just did this the other day...
The steps to simplify the expression (x - 3) / (x² - x - 5) - (5 / 8x) are,
Find the common denominator: LCM of (x² - x - 5) and 8x is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator: [(x - 3)× 8x] / [8x(x² - x - 5)] - (5 / 8x).
Combine the fractions: [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)].
Factor the denominator: 8x(x² - x - 5).
Simplify the expression: (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)].
Further simplify the numerator: 3x² - 19x + 25.
Final result: (3x² - 19x + 25) / [8x(x² - x - 5)].
To simplify the given difference of two expressions into one, simplified rational expression, follow these steps in the correct order:
Find a common denominator for the two fractions.
The common denominator for the fractions is the least common multiple (LCM) of the individual denominators, which are (x² - x - 5) and 8x. The LCM is 8x(x² - x - 5).
Rewrite the first fraction with the common denominator.
(x - 3) / (x² - x - 5) - (5 / 8x) = [(x - 3) × 8x] / [8x(x² - x - 5)] - (5 / 8x)
Combine the fractions by subtracting them.
= [(8x² - 24x) - 5(x² - x - 5)] / [8x(x² - x - 5)]
Factor the denominator of the resulting expression (if possible).
The denominator 8x(x² - x - 5) is already factored.
Simplify the expression, if possible.
= [8x² - 24x - 5x² + 5x + 25] / [8x(x² - x - 5)]
Combine like terms in the numerator.
= (8x² - 5x²) + (-24x + 5x) + 25 / [8x(x² - x - 5)]
Simplify the numerator further.
= 3x² - 19x + 25 / [8x(x² - x - 5)]
Therefore , the final simplified rational expression is equal to (3x² - 19x + 25) / [8x(x² - x - 5)].
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The cost, in dollars, of a gym membership for n months can be described by the explicit equation Pn = 70 + 301. What does this equation tell us?
Answer:
70 + 301 = 371
Step-by-step explanation:
This equation tells the gym
-7x - 3 equals 5x + 3
solve for x
Answer:
x = -0.5
Step-by-step explanation:
-7x-3=5x+3
+7x +7x
-3=12x+3
-3 -3
-6=12x
x=-0.5
if y=8, evaluate the following expression: 40-5y
Which set of ordered pairs represent a function? O A {(1,0), (2,1), (2,3)} O B{(1,3), (1,4), (1,5)} O C{(1,5), (2,5), (3,5)} O D{(3, 1), (2, 2), (3, 3)}
Answer:
C
Step-by-step explanation:
C is the only answer that doesnt share x-values
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Dependent probability
In a class of 7, there are 4 students who play soccer.
If the teacher chooses 3 students, what is the probability that none of the three of them play soccer?
Answer:
[tex]\frac{12}{49}[/tex]
Step-by-step explanation:
[tex]\frac{4}{7} *\frac{3}{7} = \frac{12}{49}[/tex]
Hope this helps.
Use the remainder theorem to find P(2) for P(x) = -x^3 + 4x^2 + 4
Answer:
12
Step-by-step explanation:
P(2)=-2³+4(2)²+4=-8+16+4=12
|x+2|+4=11
A) x=5,-9
Answer:
the mod always gives positive answers
so the answer will be
Step-by-step explanation:
x+2+4=11
x+6=11
x=11-6
x=5
answer is x is 5
Answer:
x=5,9
Step-by-step explanation:
|x+2|+4=11
|x+2| = 7
next you get two answers by adding two or subtracting two. SO the right answer should be 5 and 9. A is wrong . I DONT SEE THE OTHER ANSWER CHOICES BUT THIS IS WHAT I GOT.
David has available 240 yards of fencing and wishes to enclose a rectangular area.
(a) Express the area A of the rectangle as a function of the width W of the rectangle.
(b) For what value of W is the area largest?
(c) What is the maximum area?
Answer:
Below in bold.
Step-by-step explanation:
Perimeter = 2*width + 2*length
So
240 = 2w + 2l
120 = w + l
l = 120 - w
(a) Area = w*l
Substituting for l:
A = w(120 - w)
A = 120w - w^2
(b)
Finding the derivative:
A = 120w - w^2
A' = 120 - 2w
For a maximum area A' = 0, so:
120 - 2w = 0
2w = 120
w = 60 yards for maximum area.
(c)
Maximum area
= 120*60 - 60^2
= 3600 yd^2.
In 8 days, a group of workers can plant 72 acres.
What is their rate in acres per day
Helppp fastttt
Answer:
Step-by-step explanation:
72/8 = 9 acres per day
20 POINTS- Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
Marlene surveyed her classmates asking them whether they prefer to vacation during spring break or summer and the type of vacation preferred. The results are shown in the table.
A 4-column table with 5 rows titled Vacation Preferences. Column 1 has entries beach, big city, camping, skiing, total. Column 2 is labeled spring with entries 35, 7, 14, 4, 60. Column 3 is labeled summer with entries 10, 2, 8, 10, 30. Column 4 is labeled total with entries 45, 9, 22, 14, 90.
Complete each statments.
About ____% of the students surveyed prefer a spring camping vacation.
About ____% of the students surveyed prefer a big city vacation.
Answer:
The answers for edge 2021 is
Step-by-step explanation:
16 and 10
Kaya babysits to add money to her savings. She draws a graph to show how much she can earn by babysitting. What is the equation of Kaya's line in slope-intercept form
Answer:
Step-by-step explanation:
What is the square root of 13?
Answer:
3.605551275
Step-by-step explanation:
Hello, please I bed urgent help with this math problem please
Answer:
option C
Step-by-step explanation:
[tex]4c^2 + 7c - 5 = 0 , \ where \ a = 4 , \ b = 7 , \ x = - 5[/tex]
[tex]c = \frac{- b \pm \sqrt{b^2 - 4ax }}{2a} \\\\c = \frac{- 7 \pm \sqrt{49 - ( 4 \times 4 \times - 5 )}}{2 \times 4} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{49 + 80}}{8} \\\\c = \frac{- 7 \pm \sqrt{129}}{8} \\\\[/tex]
Answer:
Option C
Step-by-step explanation:
Quadratic formula:
[tex]4c^{2} +7c-5=0[/tex]
[tex]a=4\\b=7\\x=-5[/tex]
[tex]c=\frac{-b\frac{+}{} \sqrt{b^2-4ax}}{2a}[/tex]
[tex]c=\frac{-7\frac{+}{}49-(4*4*-5) }{2*4}[/tex]
[tex]c=\frac{-7\frac{+}{}\sqrt{129} }{8}[/tex]
hope this helps....
John is a quarterback. This year, he completed 350 passes, which is 70, percent of all the passes he's attempted this year.
How many passes has John attempted this year?
Answer:
John attempted 500 passes this year
Step-by-step explanation:
To sum up the question, it is basically asking what number has 350 as 70% of it.
We know that:
350 is 70% of some number.
Convert 70% to fraction:
70% = 7/10
Divide:
350 ÷ 7/10 = 500
So 350 is 70% of 500
CHECK THE ANSWER:
10% of 500 is 50
To find 70% of 500, multiply:
50 x 7 = 350
I really hope this helps! Please ask me in case you’re confused.
Please answer question 4
Answer:
53
Step-by-step explanation:
Find the value of k, if (x - 2) is a factor of the polynomial p(x) = 2x2 + 3x - k
Answer:
The value of k is 14.
Step-by-step explanation:
(x - 2) is a factor of the polynomial
[tex]x - 2 = 0 \rightarrow x = 2[/tex]
This means that [tex]p(2) = 0[/tex]
p(x) = 2x² + 3x - k
[tex]p(2) = 2(2)^2 + 3(2) - k[/tex]
[tex]0 = 8 + 6 - k[/tex]
[tex]14 - k = 0[/tex]
[tex]k = 14[/tex]
The value of k is 14.
4. (a) Find the minimum value of the function below and the values of for which they
occur.
f(x) = 3x2 - 5x - 12
I need to find the value of x?
Answer:
x=20
Step-by-step explanation:
120=6x
120/6=6x/6
20=x
What is the equation line of A?
What is the equation line of B?
Answer:
see below
Step-by-step explanation:
Line A is a horizontal line
It is of the form y = constant
y = 4
Line B is a vertical line
It is of the form x = constant
x = 8
please help. question in picture
Answer:
Step-by-step explanation:
how do i simplify 81^5 = 3x
Step-by-step explanation:
81/5=3x
x=81×1/5×3
x=81/15
The operation manager at a tire manufacturing company believes that the mean mileage of a tire is 48,637 miles, with a variance of 11,282,880. What is the probability that the sample mean would differ from the population mean by less than 778 miles in a sample of 143 tires if the manager is correct
Answer:
[tex]P(x < -778) = 0[/tex]
Step-by-step explanation:
Given
[tex]\bar x = 48673[/tex]
[tex]\sigma^2 = 11282880[/tex]
[tex]n = 143[/tex]
Required
[tex]P(x <- 778)[/tex]
First, we calculate the z score
[tex]z = \frac{x}{\sqrt{\sigma^2}/n}[/tex]
So, we have:
[tex]z = \frac{-778}{\sqrt{11282880}/143}[/tex]
[tex]z = \frac{-778}{3359.0/143}[/tex]
[tex]z = \frac{-778}{23.49}[/tex]
[tex]z = -33.12[/tex]
So:
[tex]P(x < -778) = P(z < -33.12)[/tex]
From z score probability, we have:
[tex]P(x < -778) = 0[/tex]
how much greater is the volume of the refrigerator than the volume of the top part
Answer:
volume quantity is hjaj
The sequence is defined recursively. Write the first four terms.
a 1 = -10; a n = n - a n - 1
Answer:
-10, 12, -9 and 13
Step-by-step explanation:
Given the recursive sequence
a1 = -10
an = n - an-1
a2 = 2 - a1
a2 = 2 - (-10)
a2 = 2+10
a2 = 12
a3 = 3 - a2
a3 = 3 - (12)
a3 = -9
a4 = 4 - a3
a4 = 4 - (-9)
a4 = 4+9
a4 = 13
Hence the first 4 terms are -10, 12, -9 and 13
cho tứ giác lồi ABCD và điểm S không thuộc mặt phẳng(ABCD). có bao nhiêu mặt phẳng qua S và hai trong số bốn điểmA B C D
Step-by-step explanation:
Có 7 mặt phẳng
5 mặt phẳng của hình chóp S.ABCD và (SAC), (SBD)
Cậu nên hỏi trên mấy web Việt Nam thì hơn tại đa số mấy người ở đây toàn nước ngoài ạ
Can I have help I am stuck on this problem It would mean the world if u helped me and tysm!! =-)
Answer:
27.5 miles per gallon
1 full tank = 15.45 gallons
27.5 x 15.45 = 424.875 miles
rounded to the nearest 100th: 424.88 miles
nearest 10th: 424.9 miles
nearest whole #: 425 miles
Use the tax table to help answer the following question.
If the wages are. And the number of withholding allowances dalmedish
0 1
But less
2 3 4 5 6 7 8 9 10+
At least
than
The amount of income tax withheld is
80
26
14
1
0
0
0
0
0
83
820
720
740
6244
740 760
47 28 16 3 0 0 0 0 0
760 780 86 68 50 31 18 5 o o o o o
780 800 89 71 53 34 20 . . . .
800
92 74 56 37 22 9 . a . o o
820 840 95 77 59 40 24 11 oo
840 860 98 80 62 43 26
Luce is single and making $763 biweekly. She claims no federal withholding
allowances. If the state tax is 19% of the federal tax, how much in state tax de
Luce contribute?
a.
$12.92
0
0
13
1
0
0
0
0
b.
$15.13
c.
$15.77
d.
$16.34
1
9514 1404 393
Answer:
d. $16.34
Step-by-step explanation:
Luce's income of 763 is between 760 and 780, so the third row of the table applies. Her allowances are 0, so the first column applies, indicating her federal tax withholding is $86.
Her state tax withholding is 19% of that amount, so is ...
19% × $86 = $16.34 . . . . matches choice D
The amount in state tax that Lucy will contribute is D. $16.34.
How to calculate the tax?Tax simply means a compulsory levy that's paid to the government by individuals and organizations.
In this case, the tax amount that will be paid will be:
= 19% × $86
= $16.34
In conclusion, the correct option is $16.34.
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