The difference between two positive numbers is 7 and the difference between these cubes is 805. If 'A' represents their product and 'B' represents the sum of their squares,
To Find :-A - BSolution :-So,
Let the number be n and m
A = n × m = nm
B = n² + m² = (n + m)²
Now
n³ - m³ = 805
(n - m) (n² + m² + nm) = 805
Since difference is 7
7 × n² + m² + nm = 805
n² + m² + nm = 805/7
n² + m² + nm = 115
(n² + n) + (m² + m) = 115
A + B = 115
Now
On squaring the first eq.
(n - m)² = (7)²
(n - m)² = 49
B - 2A = 49
Now
A + B - B + 2A = 115 - 49
A + 2A = 66
3A = 66
A = 66/3
A = 22
By using 2
B - 2(22) = 49
B - 44 = 49
B = 49 + 44
B = 93
A - B = 22 - 93 = -71
[tex]\bold{ A-B=-71 }[/tex]
Two sides of a triangle are labeled as 7 units and 12 units. What is the range of
possible values for the third side?
F 2 < x < 17
G 7 < X < 12
H 5 < x < 17
J 5 < x < 19
PLEASE hello please help i’ll give brainliest
Answer:
A
Step-by-step explanation:
First value is 1, second value is 2 and the third value is 6, 1+2 is 3, add 6 and you get 9
What is the range of the function f(x)=2x+4f(x)=2x+4 when the domain is {-2, 0, 3}?
A. {0, 4, 10}
B. {4.25, 5, 12}
C. {4.25, 4, 12}
D. All real numbers
PLEASE HELP PLEASE HELP
Answer:
B) 24
Step-by-step explanation:
The area of the rectangle is 48 units (8 x 6).
The base of the is 6 units and the height is 8 units. The formula for the are of a triangle is A = [tex]\frac{1}{2}[/tex]bh.
b = base
h = height
A = [tex]\frac{1}{2}[/tex](6)(8)
A = 24
Answer:
[tex]24[/tex]
Step-by-step explanation:
If the area of a rectangle is bh, and the area of a triangle is bh/2, then a triangle's area is half a rectangle's area. Hence, if the area of the rectangle is 48, the area of the triangle is half of 48, or 24.
FOLLOW ME ON TWITCH 1mr46n0ob1
Which is bigger 1/7 or 0.14
Answer:
Both are equal
Step-by-step explanation:
please mark me brainliest
Answer:1/7
Step-by-step explanation:
Can someone help me please
Answer:
its A
Step-by-step explanation:
it is a because its -9 down and 7 to the right
0.16x^2-49, factor using special products
Answer:
(.4x+7)(.4x-7)
Step-by-step explanation:
7. The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877. Use an inverse matrix to determine the number of each type of ticket sold .
Answer:
The total number of child ticket sold = 87
The total number of adult ticket sold = 128
Step-by-step explanation:
Given - The local theatre performed a Saturday matinee to a crowd of 215 people. Tickets cost $11 child and $15 per adult, bringing in a total of $2877.
To find - Use an inverse matrix to determine the number of each type of ticket sold .
Proof -
Let the total number of child ticket sold = x
Let the total number of adult ticket sold = y
Given that, The local theatre performed a Saturday matinee to a crowd of 215 people.
⇒x + y = 215
Also,
Given that, Tickets cost $11 child and $15 per adult, bringing in a total of $2877
⇒11x + 15y = 2877
So,
The equations becomes
x + y = 215
11x + 15y = 2877
So,
The matrix form becomes
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}215\\2877\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}1&1\\11&15\end{array}\right| \left\begin{array}{ccc}215\\2877\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&4\end{array}\right| \left\begin{array}{ccc}215\\512\end{array}\right ] \\\left[\begin{array}{ccc}1&1\\0&1\end{array}\right| \left\begin{array}{ccc}215\\128\end{array}\right ]\\\left[\begin{array}{ccc}1&0\\0&1\end{array}\right| \left\begin{array}{ccc}87\\128\end{array}\right ][/tex]
By comparing, we get
x = 87
y = 128
So, we get
The total number of child ticket sold = x = 87
The total number of adult ticket sold = y = 128
Plant A is 14 inches tall and growing at a rate of 0.5 (½) inches each day. Plant B is 8 inches tall and is growing at a rate of 2 inches each day. When will plants A and B have the same height?
Answer:
They will both have a height of 16 inches in 4 days.
Step-by-step explanation:
Hope this helps :D
Which function describes the graph below?
Answer:
Step-by-step explanation:
There are no pics
Which expression is not a trinomial?
A. x^4+x-2
B. 3x^3 +3^3
C. 2x^3 + x^2 - 4x - 2x^3 +1
D. x^2+x+1
Answer:
Option D.
Its a Polynomial or Binomial of index 2
If a circle has a circumference of 43.96 units, what is the approximate area of the circle? (Use 3.14 as an
approximation of pi.)
Answer:
If we were to use 3.14 as pi . . .
43.96/3.14 = 14
14/2 = 7
7 x 7 = 49
49 x 3.14 = 153.86
153.86 would be the correct answer
But if we were to use pi. . .
615.1279985 would be the answer.
Answer:154 rounded to whole number
Step-by-step explanation:
C=pi ×d
43.96 = 3.14 ×d
d= 43.96÷3.14
d= 14
So radius is 7 (half of diameter)
Area=3.14×7×7
=153.86
HELP PLEASEEE!!! Which technique is most appropriate to use to solve each equation?
Answer: (x+4)(x-9)=0 is zero product property, you're correct on the second one
Step-by-step explanation:
MARKING BRAINLIEST ..Please
Answer:
B
Step-by-step explanation:
Have a good day :)
Answer: I think D.
Step-by-step explanation:
please help!!
show work(factoring)
u^4 - 3u^2 - 4
A bag contains 3 red marbles, 6 blue marbles and 8 green marbles. If three marbles are drawn out of the bag, what is the probability, to the nearest 1000th, that all three marbles drawn will be green?
Answer:
8.236%
Step-by-step explanation:
P(G,G,G) = 8/17 x 7/16 x 6/15
= 7/85 (simplified)
7/85, in decimal form, is .082352
.082352 in percent form is 8.236%
Help pls!!!!!!!!!!!!!!
Answer:
46°
Step-by-step explanation:
tan Ф = 21/20
Ф = tan-1 (21/20)
= 46°
Tickets to a football game cost 5$ for students and 7$ for adults. write and solve a system of equations to determine the number to student tickets sold and the number of adult tickets sold at the most recent home football game if a total of 680 people purchased tickets and the ticket booth sold 3,914 worth of tickets. Does anyone know the equation? Tysm in advance tho if you help!
Answer:
x + y = 680
5x + 7y = 3914
Step-by-step explanation:
Let the amount of students who purchased tickets equal x.
Let the amount of adults who purchased tickets equal y.
If you add the amount of adults and students, you get the total amount of people:
x + y = 680
Also, to find the amount students spent on tickets, you multiply the ticket price by the amount of students to get 5x. And to find the amount adults spent on tickets, you multiply the ticket price by the amount of adults to get 7y. By adding the two amount, you get the total amount of money:
5x + 7y = 3914
These are the two equations:
x + y = 680
5x + 7y = 3914
What is the answer and how do you get it?
Answer:
it would D, when you simplify both expressions, they get the same result which is 1024y^6
14. Find the length of the unknown leg of the right triangle. 12.75 37.25 ?
Answer:
35
Step-by-step explanation:
We can assume the longer side is the hypotenuse because it is significantly longer than the other side.
From there, we can do Pythagoreans Theorem.
a^2+b^2=c^2
where can is the hypotenuse.
(12.75)^2+ b^2 = (37.25)^3
162.5625 + b^2 = 1,387.5625
-162.5625 -162.5625
b^2= 1,225
square root both sides.
b= 35
24 6 2 9 3=5 make it true
Answer:
24-6-9-2-3+2+2-3 = 5
Step-by-step explanation:
I hope this helps!
The product of -3 and -7 is positive.
True False
Answer:
True ☑
Step-by-step explanation:
[tex] - 3 \times - 7 \\ = {}^{ + } 21[/tex]
1) Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies. Lazer Zone charges $50 for parties, and an additional $10 per guest. Fun Palace charges $90 for parties, and an additional $6 per guest. For how many guests is the cost of both companies the same?
Answer:
10 guests
Step-by-step explanation:
Devin wants to play lazer tag for his birthday. He is comparing the cost of two companies.
Let us represent additional guests = g
Lazer Zone charges $50 for parties, and an additional $10 per guest.
=$50 + $10 × g
50 + 10g
For fun place
Fun Palace charges $90 for parties, and an additional $6 per guest.
= $90 + $6 × g
90 + 6g
For how many ?
We equate both Equations together
= 50 + 10g = 90 + 6g
Collect like terms
10g - 6g = 90 - 50
4g = 40
g = 40/4
g = 10
Hence, g = 10 guests
Therefore, the number of guests for which the cost of both companies is the same is 10 guests
The price of an item yesterday was $130. Today, the price rose to $351. Find the percentage increase.
please help and I will mark you braniest!
Answer: The percentage increase is 170%
Step-by-step explanation:
Increase= $351 - $130
Increase= 221
Percent increase = 221/ 130
Percent increase= 170%
I'm not sure if I'm right, but I hope that this helped:)
Answer:
170%
Step-by-step explanation:
130 = 100%
65 = 50%
13 = 10%
351 - 130 = 221 (doesnt count)
221 - 130 = 91
91 - 65 = 26
26 - (13 + 13) = 0
100 + 50 + 20 = 170%
Wait what about this one
Answer:
I believe it is 7/20
Step-by-step explanation:
If two zeroes of the polynomial f(x)=x3−4x2−3x+12 are √3 and -√3 then find its third zero.
Answer:
Third zero is 4
Step-by-step explanation:
The polynomial is;
f(x) = x³ − 4x² − 3x + 12
We are given 2 zeros which are √3 and -√3.
This means that a factor of the polynomial will b; (x² - 3) because when it is equated to zero, x will be √3 and -√3.
Now, to get the other factor of the polynomial, we have to divide x³ − 4x² − 3x + 12 by (x² - 3) using long division method.
I have attached this long division method and we have the third factor as; (x - 4)
Equating to zero, we have x = 4 as the third zero of the polynomial
Help Me And If ITs Right Ill Give Brainliest to you
Answer: I thınk so aswer ıs B
Step-by-step explanation:
Mia bicycles every day. Based on the graph, if Mia rides for 1.5 hours, how many miles does she bike?
A. 5
B. 10
C. 15
D. 20
Answer:
ITS C IT IS C!!!!!!!
Use the following diagram to find the sum of angle A and angle C.
A. 45 degrees
B. 90 degrees
C. 115 degrees
D. 180 degrees
E. 270 degrees
Answer:
[tex]a + c = 180 - 65 = 115[/tex]