Answer:
Step-by-step explanation:
1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20
Factorize: 2ay + 10ax - 3by - 15bx
Answer:
(2a-3b)(y+5x)
Step-by-step explanation:
2ay + 10ax - 3by - 15bx
2a(y+5x)-3b(y+5x)
(2a-3b)(y+5x)
Answer:
(y+5x) (2a - (3b))
Step-by-step explanation:
2a (2ay/2a + 2 x 5ax/2a) + 3b (-3by/3b - 3 x 5bx/3b)
2a (y+5x) + 3b (-y - (5x))
(y+5x) (2a(y+5x)/y+5x + 3b (-y-5x)/y+5x)
The line 2x + 3y = 8 meets the curve 2x^2 + 3y^2 =110 at the points A and B. Find the coordinates of A and B.
extra: This is the first time I’ve seen this type of question without a diagram. Pls help!
Answer:The cordinates of A and B are (-3.8, 5.2) and (7, -2).
Step-by-step explanation:From (1), we get x = (8 - 3y) / 2 ––(3)
Substitute (3) into (2),
2 [(8 - 3y) / 2]² + 3y² = 110
(8 - 3y)² + 3y² = 220
15y² - 48y - 156 = 0
Therefore y = 5.2, then x = (8 - 3×5.2) / 2 = -3.8
OR y = -2, then x = [8 - 3×(-2)] / 2 = 7
Answer:
The coordinates are A. (-3.8, 5.2) and B. (7, -2).
Step-by-step explanation:
At A and B the coordinates satisfy both equations so we solve simultaneously using substitution:
2x^2 + 3y^2 = 110
2x + 3y = 8
From the above equation
x = (8 - 3y)/2
So substituting for x in the first equation:
2 [(8-3y)/2]^2 + 3y^2 = 110
(8-3y)^2 / 2 + 3y^2 = 110
Multiply through by 2:
(8 - 3y)^2 + 6y^2 = 220
64 + 9y^2 - 48y + 6y^2 - 220 = 0
15y^2 - 48y - 156 = 0
3(5y^2 - 16y - 52) = 0
(5y - 26)(y + 2) = 0
y = 26/5, 2
y = 5.2, -2.
So substituting in 2x + 3y = 8
When y = -2:
2x - 6 = 8
2x = 14
x = 7.
When y = 5.2
2x + 3(5.2) = 8
2x = 8 - 15.6 = -7.6
x = -3.8.
mr. jessup and mr allen i ready mathematics pages 77 and 78
Suppose that $2000 is loaned at a rate of 12%, compounded semiannually. Assuming that no payments are made, find the amount owed after 3 years
Do not round any intermediate computations, and round your answer to the nearest cent.
The total amount owed after three years is $2,837.04.
The formula that can be used to determine the total amount owed after 3 years is:
FV = A(1 + r/m)^nm
FV = Future value of debt A = amount borrowed R = interest rate = 12/2 = 6% m = number of compounding = 2 N = number of years = 3$2000 x (1.06)^6 = $2,837.04
To learn more about future value, please check: https://brainly.com/question/18760477
Bob sees a very tall white pine tree. He estimates that the angle of elevation from him to the top of the tree is 77°
. He is 20 feet from the base of the tree when he measures the angle. What is the height of the tree rounded to the nearest hundredth?
Answer:
86.63 ft
Step-by-step explanation:
The tangent relation applies.
Tan = Opposite/Adjacent
tan(77°) = (tree height)/(20 ft)
tree height = (20 ft)·tan(77°) ≈ 86.63 ft
_____
Additional comment
It is somewhat problematic for Bob to see the top of a white pine tree at that angle of elevation. His view would likely be obscured by the branches of the tree.
{(x,y) | 2x - 3y < 6, x ∈ I, y ∈ I}
{(x,y) | -2x +5y > -10, x ∈ I, y ∈ I}
Answer:
1. (-10,-5)
2.(1/2,-1) 3. All real numbers infinite solution 4.(3 9)
Step-by-step explanation:
the length of a rectangle is five times it’s width. if the perimeter of the rectangle is 72 yd find its area
Answer:
Try sketching an image of the rectangle. Area = length x width. To find the perimeter you would add up the length of all four sides.
Step-by-step explanation:
, find the value of
[tex] {x}^{2} + \frac{1}{ {x}^{2} } [/tex]
[tex]x^2 + \dfrac 1{x^2} = \dfrac{x^4 +1}{x^2}[/tex]
What is the length of the line?
Answer:
5.4
Step-by-step explanation:
You need to use the Pythagorean theorem and if you know that the base is 2 and the height 5 then you got 5.4
what is x and what is y?
Step-by-step explanation:
i hope the illustrations are clear
PLEASEE HELP !!! 30 POINTSSS
What are the exact measures of the other two sides of the triangle? Use special right triangles ratios and
show your work
Answer:
30-60-90 is a special right triangle
if the side opposite to the 30 degree angle = x,
then the side opposite to the 90 degree angle = 2x
and the side opposite to the 60 degree angle = x*sqr3
2x=14
x=7
side BC is opposite to the 30 degree angle, so it is 7 cm
side AB is opposite to the 60 degree angle, so it is 7sqr3 cm
Answer:
clearer pic?
Step-by-step explanation:
An appropriate tip for a waiter at a restaurant is at least 15%. For a tab of $20, how much money should be left, including tip?
$23, a $20 bill plus $3 tip
HELP MEPLZPLZPXLZOSNSJSJSJSSJJS
Answer:
F. 30 G. 8
Step-by-step explanation:
F. 9 / 9 + 6 = 18 / BC
9 + 6 = 15
9 / 15 = 18 / BC
9 x 2 = 18
15 x 2 = 30
G. 9 / 6 = 12 / EC
9/6 reduces to 3/2
3/2 = 12/EC
3 x 4 = 12
2 x 4 = 8
Given the function below find f(0).
f(x)=x2−3x+5
Group of answer choices
-5
0
5
10
Answer:
5
Step-by-step explanation:
f(x) = x² - 3x + 5
f(0)
putting x as 0 in the equation
f(0) = 0² - 3(0) + 5
= 0 - 0 + 5
= 5
who wants to text back and forth pls add me
Answer:
..........uh ok but u do know that u need to answer questions and get points to talk to users....right..?
explain why 256 + 4 is equivalent to (200 + 4) + (40+4) + (164)
The expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
Given the expression 256 + 4. This can be solved using the partial sum expressed as:
256 + 4
256 + 4
= (200 + 40 + 16) + 4
According to the commutative property, A+B = B+A
The arrangement does not affect the result. Hence;
(200 + 40 + 16) + 4 = 4 + (200 + 40 + 16)Using the distributive law;
4 +(200 + 40 + 16) = (200 + 4) + (40 + 4) + (16 + 4)
Hence the expression 256 + 4 is equivalent to (200 + 4) + (40+4) + (16+4) according to distributive and commutative property of addition.
Learn more on partial sum here: https://brainly.com/question/6958503
the LCM and GCF of 66 and 101
Answer:
GCF: 1
LCM: 6,666
Step-by-step explanation:
I hope this helps!
Which account option is more convenient for frequent check or debit card withdrawals and purchases but gains no interest?
A. Checking
B. Certificate of deposit
C. Savings
D. Money market
connor took out a 4-year loan at 4% If he has to pay $240 how much principle did he borrow
Answer:
The principal he borrowed is $1500
Step-by-step explanation:
Let's assume principal he borrowed as P
now, we can use formula
where
SI is simple interest
r is interest rate
t is time in years
we are given
r=4%
SI=240
t=4
now, we can plug this value
now, we can solve for P
So,
The principal he borrowed is $1500. Hope this helps, and mark me as brainlest!
An education website has 434,206 daily unique visitors. An e-commerce website gets double the number of visitors. How many visitors does the e-commerce website get? Thank you in advance:))
Answer:
868,412 visitors
Explanation:
434,206 x 2 (double)
1-w+w2 what is complex cube
[tex] \: \: \: \: \: \: [/tex]
[tex]1 + w[/tex]
Step-by-step explanation:
[tex]1 - w + w2[/tex]
use the commutative property to reorder the terms[tex]1 - w + 2w[/tex]
collect like terms[tex] = \: \: 1 + w[/tex]
hope it helpsName three equal ratios from the graph
250:10
125:5
100:4
Step-by-step explanation:
ratio of y to x
CAN SOMEONE HELP ME PLEASE ASAP!?
Answer:
21.6 ft
Step-by-step explanation:
Similar Triangles
6/10=B/36
B=21.6
Helpppppppppp plssssssssss
Answer:
12 in.
Step-by-step explanation:
We already know that the bottom line all together is 19 inches, and the line for the top of the square box at the end is also 7in. We can then infer that the top line of 7 cm is the same as the bottom line, so we therefore do 19 - 7 which equals to 12. Hope this helps.
A 2-pack of light bulbs costs $0.73. What is the unit price, rounded to the nearest cent?
Answer:
37 cents.
Step-by-step explanation:
Two lightbulbs sell for 73¢, meaning one lightbulb sells for 36.5¢ (73/2), or "unit price" (the price for one of something). Rounded to nearest cent at 37¢.
64PT AND BRAINLIEST! Which of the following would produce a graph with no solution?
| x | = − 5
| x | < 5
| x | < 5
| x | = 0
Answer:
| x | = − 5
Step-by-step explanation:
Let's solve your equation step-by-step.
| x | = − 5
Solve Absolute Value.
| x | = − 5
No solutions. (Absolute value cannot be less than 0.)
Answer:No solutions.
I hope this helps :)
Answer:
| x | = -5
Step-by-step explanation:
Let's think about absolute value, the number we stick in side of these magical type "brackets" (so to speak) is always going to end up being positive because absolute value is the distance of a number from 0. Therefore, we know that because "x" cannot be negative in this scenario, the absolute value of x cannot be equal to -5 and therefore would produce a graph with no solution!
is this correct ? if not what’s the correct answer?
Answer:
YES 68 is the correct answer
HELPPPPPP WIL GIVE BRANELISTTTT
Answer: i think the answer is B
Step-by-step explanation:
look at the right angle triangle ABC 75
Answer:
A and B are equal to 52.5°
Step-by-step explanation:
One angle has to be 75°, so let's say that angle C is 75°. You need to subtract 75 from 180, which is 105°. Now, divide 105° by 2, which equals 52.5. Your answer is: Angles A and B are both equal to 52.5
a
Fitness Club A has a membership fee of $35 plus $3 each time you swim. Fitness Club B has a membership fee of
$27.50 plus $4.50 each time you swim. After how many swims will the cost be the same?
A
4
B) 7
6
D
8
E 5
Write an equation for each one set the equal to each other and solve.
A: 35 + 3x
B: 27.50 + 4.50x
35 + 3x = 27.50 + 4.50x
Subtract 27.50 from both sides:
7.50 + 3x = 4.50x
Subtract 3x from both sides
7.50 = 1.50x
Divide both sides by 1.50
X = 5
Answer: 5
