Answer:
(x, y) = (4, -2)
Step-by-step explanation:
The coefficient of y in the second equation is double the coefficient of y in the first. We can subtract twice the first equation from the second to eliminate y.
(3x +4) -2(x +2y) = (4) -2(0)
x = 4 . . . . . . . . . simplify
Substituting into the first equation, we have ...
4 +2y = 0
2 +y = 0 . . . . . . divide by 2
y = -2 . . . . . . . . subtract 2
The solution is (x, y) = (4, -2).
ILL GIVE BRAINLIEST
ALGEBRA 2 There are several methods for solving quadratic equations. But why don’t we use the same method every time? Wouldn’t that be easier?
What is your preferred method for solving quadratic equations? Describe the method in your own words and explain why you prefer it over the other methods.
What are the limitations of your preferred method?
Please follow these guidelines for your discussion posts:
Write at least 150–300 words.
Answer:
See below
Step-by-step explanation:
I'll provide an example to help you. Let's say we were solving [tex]x^2+5x-7=0[/tex] and we wanted to factor the quadratic on the left side. We can't do that because the factors of -7 don't add up to 5. So we'd have to use the quadratic formula. The quadratic formula is essentially the last resort that will solve all quadratic equations, so it could be seen as a preferred method. But, unless you can factor the quadratic, it's much easier to solve.
Now let's do another one. [tex]x^2+5x+6=0[/tex] for example can be written as [tex](x+2)(x+3)=0[/tex] and we can easily get [tex]x=-2[/tex] and [tex]x=-3[/tex] as solutions since plugging them into the factors would produce 0 (from the Zero Product Property). If we used the quadratic formula, it would take more time to plug in the variables and solve when we can just simply factor.
Hopefully, this explanation helps you to think of your discussion post!
1
View NON-CALC.
Sam plays a game with a fair dice.
if he rolls a 1 or 2 he rolls again
if he rolls a 3 he wins
If he rolls a 4,5 or 6 he loses.
When he has to roll again,
if he rolls a factor of 6 he wins
If he rolls a number which is not a factor of 6 he loses,
a) Complete the tree diagram,
First roll
Second roll
Not a factor of 6
1 or 2
Factor of 6
DI
3
4,5 or 6
b) Is Sam more likely to win or lose?
You must calculate the probability he wins.
Answer:
The probability of winning directly is, as you calculated, 8/36, and the probability of losing directly is (1+2+1)/36=4/36.
For the remaining cases, you need to sum over all remaining rolls. Let p be the probability of rolling your initial roll, and q=6/36=1/6 the probability of rolling a 7. Then the probability of rolling your initial roll before rolling a 7 is p/(p+q), and the probability of rolling a 7 before rolling your initial roll is q/(p+q). Thus, taking into account the probability of initially rolling that roll, each roll that doesn't win or lose directly yields a contribution p2/(p+q) to your winning probability.
For p=5/36, that's
(536)25+636=2511⋅36,
and likewise 16/(10⋅36) and 9/(9⋅36) for p=4/36 and p=3/36, respectively. Each of those cases occurs twice (once above 7 and once below), so your overall winning probability is
836+236(2511+1610+99)=244495=12−7990≈12−0.007.
Step-by-step explanation:
Suppose you throw a 4 and let p(4) your winning probability. At your next roll you have a probability 3/36 of winning (you throw a 4), a probability 6/36 of losing (you throw a 7) and a probability 27/36 of repeating the whole process anew (you throw any other number). Then:
p(4)=336+2736p(4),so thatp(4)=13.
Repeat this reasoning for the other outcomes and then compute the total probability of winning as:
ptot=836+336p(4)+436p(5)+…
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Refer to attachment.
Note: Spams not allowed.
Don't Copy
If you don't know the answer don't answer
Need Answer with explanation.
Thank You!
Answer:
[tex]option \: (b) \: is \: ur \: answer \: to \: the \: question \: [/tex]
[tex]to \: know \: the \: answer \: with \: proof[/tex]
[tex]refer \: to \: the \: above \: attatchment[/tex]
[tex]f = \frac{rn}{1 - r} [/tex]
[tex]\huge \tt༆ Answer ༄[/tex]
The required expression is ~ B
[tex] \boxed{ \sf \: F = \dfrac{ RN }{ 1 - R} }[/tex]
Refer to the attachment for Solution ~
Ms. Rowlen went Black Friday shopping and she bought a flat screen TV that originally costs $259.00. She used her super Savings Coupon of 45%, how much did Ms. Rowlen pay for the TV?
If she used a coupon of 45%, the price markdown would be 116.55. You must subtract the markdown from the original cost to discover the amount she had to spend.
259.00 - 116.55 = 142.45
So, Ms Rowlen had to spend 142.45 on the TV.
WILL GIVE BRAINLYIST
Andre is in charge of cooking broccoli and zucchini for a large group. He has to spend all $17 he has and can carry 10 pounds of veggies. Zucchini costs $1.50 per pound and broccoli costs $2 per pound. One graph shows combinations of zucchini and broccoli that weigh 10 pounds and the other shows combinations of zucchini and broccoli that cost $17.
Graph
A combination of veggies that costs $17 but does not weigh 10 pounds.
Select all that apply.
Group of answer choices
D. 10 pounds of zucchini and 1 pound of broccoli
B. 4 pounds of zucchini and 6 pounds of broccoli
A. 6 pounds of zucchini, and 4 pounds of broccoli
C. 2 pounds of zucchini and 7 pounds of broccoli
Answer:
okay for the buying vegetables problem. It wants us to write an equation in ST that gives us enough. The amount of pounds of cauliflower Capital C is our first very bold and broccoli bee is our second variable. So Capital C that says Karl Power costs $2 per pound so we can write to see and then broccoli is a dollar 25 per pound. So plus a dollar 25 times being is equal to the total cost that we spent. And the total we spent was $10. Okay, so there's our equation and standard corn. Thank you.
The measure of an angle is 1/4 the measure of its compliment find the measure of each angle
Answer:
angle = 72°
complement = 18°
Step-by-step explanation:
x = (90-x) / 4
cross-multiply to get:
4x = 90 - x
5x = 90
x = 18
50 points
Simonne predicted that she would sell 99 picture frames. She actually sold 88 picture frames. What are the values of a and b in the table below? Round to the nearest tenth if necessary.
Percent Error
Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Picture frames
99
88
a
b
a = StartFraction 11 over 99 EndFraction; b = 11.1 percent
a = StartFraction 11 over 88 EndFraction; b = 12.5 percent
a = StartFraction 88 over 99 EndFraction; b = 88.9 percent
a = StartFraction 11 over 11 EndFraction; b = 100 percent
Answer:
a = StartFraction 11 over 88 EndFraction; b = 12.5 percent
a
because I did my research
Answer:
B. a=11/88 ; b=12.5%
Step-by-step explanation:
my Christmas present to you
Mae buys 7 boxes of drinks. The cost of each box of drinks is £7 and each box holds 12 cans.She sells 3/4 of the total number of cans for 70p each and the remaining cans for 40p each. WORK OUT THE TOTAL OF PROFIT HE MAKES
Answer:
£3.50
Step-by-step explanation:
The total number of cans Mae bought was ...
(12 cans/box)×(7 boxes) = 84 cans
The revenue from sales is ...
(3/4)(84)(70p) +(1/4)(84)(40p) = 84(3/4×70p +1/4×40p) = 84(52.5p +10p)
= £52.50
The cost of the drinks was ...
(£7/box)×(7 boxes) = £49.00
Mae's profit is the difference between her sales revenue and her cost:
profit = revenue - cost
profit = £52.50 -49.00 = £3.50
I will give brainlist
no clue
Step-by-step explanation:
...................
mathematics 8
.................................................plz helpp
Answer:
[tex]y\geq 18x+19y[/tex]
[tex]x+y\leq 13[/tex]
Step-by-step explanation:
Hope this helped! :)
28.4 g = 1 oz
How many grams are in 9 4/5 ounces?
Answer:
277.825327
Step-by-step explanation:
Thx!
please help! What is the remainder of the polynomial 2x3+7x2+2x+9 when divided by 2x+3
Answer:
3
Step-by-step explanation:
cool
Jane eats 2/3 of a cup of cereal for breakfast every day. If the box contains a total of 24 cups, how many days will i take to finish the cereal box? Show your work.
determining end behavior and intercepts to graph a polynomial function
Answer:
Step-by-step explanation:
(b). ( x , 0 )
Zero where the graph crosses the X-axis: 1
Zero where the graph touches, but does not cross the X-axis: ( - 1 )
(c). ( 0, y )
- ( 0 + 1 )²( 0 - 1 ) = 1
Which is the graph of 2x-4y>6?
Solving for x :-
2x - 4y > 6
=》x - 2y > 3
=》x > 3 + 2y
Solving for y :-
2x - 4y > 6
=》x - 2y > 3
=》y < x - 3/2
■ See the attachment for the graph. Since you have not shared the graphs..any graph which looks like this in your question is the correct one.
____
Hope it helps ⚜
please help me to get the answers please its important
Answer:
Q6. 49π or about 153.94
Q7. 42
Q8. 17.5
Step-by-step explanation:
6. the formula for the area of a circle is πr², and you have that r, or the radius, is 7. then, you just plug that in, which would be π·7² = π·49 = 49π.
7. the formula for the area of a parallelogram is base times height, and you have base = 6 cm and height = 7 cm. this means the area is 6 · 7 = 42.
8. The formula for the area of a triangle is base times height divided by 2, and you have base = 5 and height = 7. this means the area is 5 · 7 ÷ 2 = 35÷2 = 17.5
-3(8+j)=-16+5j
HELP ASAP NEED THIS DONE TONIGHT BEFORE MIDNIGHT
Answer:
j = -1
Step-by-step explanation:
Eliminate parentheses:
-24 -3j = -16 +5j
Add 3j+16
-8 = 8j
Divide by the coefficient of j.
-1 = j
[tex]\rm⇢ \: \: - 3(8 + j) = - 16 + 5j[/tex]
[tex]\rm⇢ \: \: - 24 - 3j = - 16 + 5j[/tex]
[tex]\rm⇢ \: \: 5j + 3j = - 24 + 16[/tex]
[tex]\rm⇢ \: \: 8j = - 8[/tex]
[tex]\rm⇢ \: \: j = - 1[/tex]
Which graph represents an even function?
Answer:
the first one, it's linier (even)
The first graph is the one that represents an even function. See why below.
What is a even function?An even function is a mathematical function where f(x) = f(-x) for all x in the function's domain. It exhibits symmetry with respect to the y-axis.
The graph of an even function is symmetric with respect to the y-axis. If you fold the graph along the y-axis, the two halves will overlap perfectly.
Understanding even functions is relevant because they possess specific symmetry properties, which can help in analyzing and solving mathematical problems involving symmetry and function transformations.
Learn more about even function at:
https://brainly.com/question/23934926
#SPJ2
Solve for X
(24x – 19)
(16х + 13)
Step-by-step explanation:
24x - 19 = 16x + 13
24x = 16x + 32
8x = 32
x = 4
5. Put the decimals in order from least to greatest. 1.23, 1.023, 1.203, 1.032
Answer:
1.023,1.032,1.203, and 1.23
Step-by-step explanation:
Subtract: -10 - (-21)
I need help with this question can someone plss help me!!
Answer:
Step-by-step explanation:
What is the percent of increase from 80 to 95?
Amount of increase = 95-80 = 15
Percent increase = (15/80) x 100
Percent increase = 18.75%
Find the domain of function F defined by
F(x) =1/√|x-1|
Answer:
Therefore, |x-1|>0
=> (x-1)>0 or - (x-1)>0
=> x > 1 or x < 1
=> (- infinity, 1) U (1, infinity)
Y=-2(x+1)(x+3) convert the function into standard form
−2x^2−8x−6
Expand (−2x-2)(x+3) using the FOIL Method.−2x⋅x−2x⋅3−2x−2⋅3
Multiplying by 0.89 is the same as decreasing by _____%.
Answer:
1-0.89=0.11
0.11*100=11%
Please help meee urgent
Step-by-step explanation:1
Answer:
6
Step-by-step explanation:
The average rate of change of f(x) in the closed interval [ a, b ] is
[tex]\frac{f(b)-f(a)}{b-a}[/tex]
Here [ a, b ] = [ 3, 4 ]
f(b) = f(4) = 9 ← value of f(x) when x = 4 , from table
f(a) = f(3) = 3 ← value of f(x) when x = 3 , from table
average rate of change = [tex]\frac{9-3}{4-3}[/tex] = [tex]\frac{6}{1}[/tex] = 6
"√2n-5 = 10."
Please Show Step By Step
Answer is 15√2/2. I think.
Find the value of x to the nearest tenth. Show all
the work
Answer:
x is 15.0
Step-by-step explanation:
We can use pythagorus theorum to find the missing side of the triangle.
a² = b² + c²
a² is the longest side of the triangle, so a= 8.
b² (or you can even take c²) is one of the two sides, so b= 3
We have to find c². So make c² the subject of the equation.
c² = a² - b²
c² = 8² - 3²
c² = 64 - 8
c² = 56
∴ c = [tex]\sqrt{56}[/tex] = 7.48 (in 2 decimal place / 3 significant figures)
Now we can assume that c is half of x.
So x = 7.48 + 7.48 = 14.96
∴ x = 15.0 (to the nearest tenth).