Answer:
Step-by-step explanation:
1. Express each quadratic function f in the form f (x) -yo = p (x - xo) x ϵ R, where xo, i, p ϵ R are appropriately chosen. Indicate the coordinates
of the vertex of the parabola, the minimum or maximum of the function f, especially R. Draw the graph of f.
a) f (x) = 2x2 + 3x -5, ϵ R,
b) f (x) = -3x2 + 7x +9, ϵ R,
c) f (x) = - x +1, ϵ R,
HELP YOU GIVE YOU CORONA PLIS
Find m and n if the remainder when 8x^3+mx^2-6x+n if divided by (x-1) and (2x-3) are 2 and 8 respectively
Answer:
we have:
8x³ + mx² - 6x + n
= 8x³ - 8x² + (m + 8)x²- (m + 8)x + (m + 2)x - (m + 2) + m + 2+ n
= 8x²(x - 1) + (m + 8)x(x - 1) + (m + 2)(x - 1) + (m + n + 2)
= (x - 1)[8x² + (m + 8)x + m + 2] + (m + n + 2)
because the remainder if divided by (x-1) is 2
=> m + n + 2 = 2
⇔ m + n = 0 (1)
we also have:
8x³ + mx² - 6x + n
= 8x³ - 12x² + (m + 12)x² - 3/2.x.(m + 12) + ( 12 + 3/2.m)x - (9/4.m + 18) + n +9/4m + 18
= 4x²(2x - 3) + 1/2.(m + 12)x(2x - 3) + (3/2m + 12).1/2.(2x - 3) + 9/4m + n + 18
= (2x - 3)(4x² + (m + 12)/2.x + 3/4m + 6) + 9/4m + n + 18
because the remainder if divided by (2x - 3) is 8
=> 9/4m + n + 18 = 8
⇔ 9/4m + n = -10 (2)
from (1) and (2), we have:
m + n = 0
9/4m + n = -10
=> m = -8
n = 8
Step-by-step explanation:
what is 260 add 212 multiplied by 234 minus 1000
Answer:
its 48,868
Step-by-step explanation:
Answer:
48 868
Step-by-step explanation:
260+212×233-1000
260+(212×233)-1000
260+49 608-1000
49 868 - 1000
=48 868
Polygons ! ( picture included)
Answer:
B
Step-by-step explanation:
2x+x=180
3x=180
x=60
2x=120
so B
hope that helps if it does please mark mine as brainliest.
Answer:
The answer would be B
Step-by-step explanation:
Hope this helps
Answer this Please For Top Brainly
Answer:
300g for 7.49 has the best value
Step-by-step explanation:
200g for 5.69
200/5.69
35.15g for 1
300g for 7.49
300/7.49
40.05g for 1
answer this plz maths question
Answer:
Step-by-step explanation:
[tex]\frac{3x + 5}{4x +2}=\frac{3x+4}{4x + 7}[/tex]
Cross multiply,
(3x+ 5 ) (4x + 7)=(3x + 4)*(4x + 2)
3x*4x + 3x *7 + 5*4x + 5*7 = 3x*4x + 3x*2 +4*4x + 4*2
12x² + 21x + 20x + 35 = 12x² + 6x + 16x + 8 {Combine like terms}
12x² + 41x + 35 = 12x² + 22x + 8
12x² + 41x +35 - 12x² - 22x = 8
12x² - 12x² + 41x - 22x + 35 = 8
0 + 19x + 35 = 8
19x = 8 - 35
19x = -27
x = -27/19
I need help with my geometry!
Answer:
142 degrees
Step-by-step explanation:
180-38
Answer:
[tex]142[/tex]°
At Ned's newsstand, 4 magazines cost $24.00 how many magazines could you buy with $60.00 help
You can buy 10 magazines in $60.
What is unit rate?A unit rate means a rate for one of something.
Given that, the cost of 4 magazines is $24.00
For 4 magazine → $24
So, for 1 magazine = 24/4 = $6
So, in $60,
60/6 = 10
Hence, you buy 10 magazines in $60.
For more references on unit rate, click;
https://brainly.com/question/11258929
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Write the expression:
The quotient of the sum 3y and 5, and y squared.
Answer:
(3y + 5) / (y^2)
Step-by-step explanation:
Sorry it's not actually in fraction format. That little button thing is having troubles atm on my end. Hope this is okay
Need help on surface area of this!
Answer:
Area = 1476 units^2
Step-by-step explanation:
(2)(12)(30) + (2)(9)(30) + (2)(9)(12) total area
Area = 1476 units^2
Answer:
1,476 units
Step-by-step explanation:
Formula of surface area (rectangular prism):
A = 2(wl + hl + hw)
2 · (12·9 + 30·9 + 30·12) = 1476
i think it is e but I am not sure. If someone knows the answer, please reply
Answer: You are correct it is E
Step-by-step explanation:
Saw the question answered on brainly so its correct
2 cups of sugar are needed for each gallon of lemonade. How many cups of sdgar would be needed
for 9 gallons of lemonade.
Answer:
18 gallons
Step-by-step explanation:
2 cups of sugar times 9 gallons of lemonade is 18
You have $75 and need to buy 9 books at the bookstore and each book costs d dollars. Write an algebraic expression to represent the amount of money left over.
Answer:
y = 75 - 9d
Step-by-step explanation:
y = amount of $ left
An algebraic expression to represent the amount of money left over is y = 75 - 9d
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol can also be used to indicate the logical syntax's order of operations and other features.
Given that You have $75 and need to buy 9 books at the bookstore and each book costs d dollars.
Let y be the amount of $ left
Therefore, the expression would be;
y = 75 - 9d
To know more about an expression follow;
brainly.com/question/19876186
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Find the area of the shaded region formed by circle that touches the edges of a rectangle.
Answer:
[tex] 266.14 \: {cm}^{2} [/tex]
Step-by-step explanation:
In case of rectangle:
Length l = 30 cm
Width w = 14 cm
Since, circle touches the edges (lengths) of the rectangle.
Therefore,
Diameter of circle = 14 cm
So, radius r = 14/2 = 7 cm
Area of the shaded region = Area of rectangle - Area of circle
[tex] = lw - \pi {r}^{2} \\ \\ = 30 \times 14 - 3.14 {(7)}^{2} \\ \\ = 420 - 3.14 \times 49 \\ \\ = 420 - 153.86 \\ \\ = 266.14 \: {cm}^{2} [/tex]
Which of the following are solutions to the equation below?
Check all that apply
x2 + 4x + 4 = 12
Answer:
C. 2√3 - 2Step-by-step explanation:
[tex]x^2 + 4x + 4 = 12\\\\x^2+2\cdot x\cdot2+2^2=12\\\\(x+2)^2=12\\\\x+2=-\sqrt{12}\quad\vee\quad x+2=\sqrt{12}\\\\x=-2\sqrt{3}-2\quad\vee\quad x=2\sqrt3-2[/tex]
Here is another question. It wants me to solve it
Answer:
[tex]x>-11[/tex]
Step-by-step explanation:
[tex]10+2x>-12[/tex]
Subtract both sides by 10
[tex]10+2x-10>-12-10\\2x>-22[/tex]
Divide both sides by 2
[tex]\frac{2x}{2}>\frac{-22}{2} \\x>-11[/tex]
I hope this helps!
Answer:
x > -11
Step-by-step explanation:
I need help pleaseseee
Answer:
Area of figure: (4y - 7)(x + 6y + 1)
Step-by-step explanation:
The height of the figure is 4y - 7 and the length is x + 6y + 1.
The area of the figure is the product of height and length, or:
(4y - 7)(x + 6y + 1)
14 less than 6 multiplied by a number
Answer:
6n - 14
Step-by-step explanation:
6n - 14?
6 times a number (6n) minus 14 (-14)
put together = 6n - 14
y+5=2(x+1)
Only (5,10)
Only (-1,-5)
Both
Neither
Answer: only (-1, -5)
Step-by-step explanation:
If x= -1 and y= -5
(-5)+5= 2((-1)+1)= 0
А
С
If AB = 3 and BC = 7, AC = [?]
Please help if you want BRIANLIST PLEASE!!!
Answer:
there are 4 times larger
Step-by-step explanation: 11 x 4 = 44 so its 4 times larger
What is a 18% tip on a $40.00 haircut
Answer:
$7.2
Step-by-step explanation:
Answer:
$7.20
Step-by-step explanation:
responda as expressões 2x+3x+5x:
Answer:
[tex]\tt{}10x[/tex]
Step-by-step explanation:
[tex]\tt{}2x + 3x + 5x[/tex]
[tex]\tt{}(2 + 3 + 5)x[/tex]
[tex]\tt{}10x[/tex]
0.9(x-20)=830
What does x equal?
Answer:
x = [tex]942\frac{2}{9}[/tex]
Step-by-step explanation:
0.9 ( x - 20) = 830
0.9x - 18 = 830
0.9x = 848
9x = 8480
x = [tex]942\frac{2}{9}[/tex]
A diagram of a rectangular pool with the diagonal of 50 meters is shown below. Connected to the pool is a square shaped kid’s pool.
What is the area of the kid’s pool in the diagram?
Answer:
The area of the kids' pool is 900 square meters.
Step-by-step explanation:
The area of the kids' pool is 900 square meters. Only one side length needed to be found because it is a square (all sides are the same). The side length that can be easily found is the one that is shared with the rectangular pool. Using the Pythagorean theorem (a²+b²=c²), that missing side can be calculated. 40² is 1600 and 50² is 2500. To get the missing side ("b"), "c" must be subtracted by "a". 2500-1600=900. Even though that is the answer, the work is not done. The square root of 900 is 30. In the end, the missing side ("b") is 30 square meters. To find the area, you have to multiply 30 by 30. 30 times 30 is 900. So the kids' pool is 900 square meters.
Hope this helps! Please vote me as Brainliest. Let me know if you need more of an explanation. Hope this helps everyone. Good luck with whatever you are doing! Have an amazing day!
what is the value of x?
Answer:
68
Step-by-step explanation:
c=√a^2+b^2
√ 60^2 + 32^2 =68
We will use the Pythagorean Theorem
[tex]x {}^{2} = {32}^{2} + {60}^{2} \\ {x}^{2} = 1024 + 3600 \\ x {}^{2} = 4624 \\ x = \sqrt{4624} \\ x = 68[/tex]
10. What is the exponent in this equation: 5*(x-2) = 125 *
O
Х
Ox-2
O 5
O 125
Answer:
x-2
Step-by-step explanation:
What is the area of these shapes?
Answer: 1 number the area is 7200
Step-by-step explanation:
A triangle has sides with lengths of 10, 15, and 6 feet. Find the perimeter of a similar triangle whose shortest side is 7
Answer:
P = 36 1/6 feet
Step-by-step explanation:
you can create the following proportion:
6 / 7 = 10 / x
cross-multiply:
6x = 70
x = 11 2/3
use the same ratio to write a second proportion to find the last side:
6 / 7 = 15 / x
cross-multiply:
6x = 105
x = 17 1/2
Perimeter = 7 + 11 2/3 + 17 1/2 = 28 7/6 + 7 = 29 1/6 + 7 = 36 1/6 feet
i really need help please anyone
Please awnser this and give me the right awnser
