Answer:
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
Step-by-step explanation:
Given
x + y : x - y = 3 : 2
As
[tex]x + y = 3[/tex]
[tex]x - y = 2[/tex]
Solving to find x and y
[tex]\begin{bmatrix}x+y=3\\ x-y=2\end{bmatrix}[/tex]
[tex]x-y=2[/tex]
[tex]-[/tex]
[tex]\underline{x+y=3}[/tex]
[tex]-2y=-1[/tex]
[tex]\begin{bmatrix}x+y=3\\ -2y=-1\end{bmatrix}[/tex]
solve for y
[tex]-2y=-1[/tex]
Divide both sides by 2
[tex]\frac{-2y}{-2}=\frac{-1}{-2}[/tex]
[tex]y=\frac{1}{2}[/tex]
[tex]\mathrm{For\:}x+y=3\mathrm{\:plug\:in\:}y=\frac{1}{2}[/tex]
[tex]x+\frac{1}{2}=3[/tex]
[tex]x+\frac{1}{2}-\frac{1}{2}=3-\frac{1}{2}[/tex]
[tex]x=\frac{5}{2}[/tex]
so
[tex]x=\frac{5}{2},\:y=\frac{1}{2}[/tex]
Thus,
x + y : x - y = (5/2+1/2) : (5/2-1/2)
x + y : x - y = 3 : 2
Therefore, x + y : x - y= 3 : 2 is proved.
The sum of two consecutive even integers is 48 less than 3 times the largest integer. Find both integers algebraically.
Answer:
44 and 46Step-by-step explanation:
Let the integers be:
n and n + 2Then we have:
n + n + 2 = 3(n + 2) - 48Solving for n:
2n + 2 = 3n + 6 - 483n - 2n = 2 + 48 - 6n = 44So the numbers are 44 and 46
Can somebody help me with this please?
its an eqilateral triangle. they are always “positioned” at 180 degrees.
What is the ratio of blue paint to red paint in the mixture?
Answer: I think the answer is 5:2 Hope This Helps
It's 5:3
Hoped I helped!
Have a wonderful day-
Bye!
What are the next 3 terms in the sequence 2.0,3.5,5.0,6.5?
Answer:
8.0, 9.5, 11.0
It is increasing by 1.5.
Step-by-step explanation:
Answer:
8.0
explanation; the answer is 8.0
If h(x)=2(x^2+5)+10, what is the value of p(13)
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[tex]h(x) = 2( {x}^{2} + 5) + 10 [/tex]
[tex]h(x) = 2 {x}^{2} + 10 + 10[/tex]
[tex]h(x) = 2 {x}^{2} + 20[/tex]
_________________________________
[tex]h(13) = 2 \times ({13})^{2} + 20[/tex]
[tex]h(13) =( 2 \times 169 )+ 20[/tex]
[tex]h(13 )= 338 + 20[/tex]
[tex]h(13) = 358[/tex]
♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️♥️
someone please please helppp... I need to submit this ttoday..I will mark you the brainliest
Problem 3
I'm not sure what your teacher is asking here. Identities are equations, but your teacher didn't give you an equation.
=============================================
Problem 4
To show that we have an identity, I'm only going to manipulate the left hand side to transform it into the right hand side. The right hand side will remain the same the entire time.
(3x+7)^2 - 84x = (3x-7)^2
(3x+7)(3x+7) - 84x = (3x-7)^2
(9x^2+21x+21x+49) - 84x = (3x-7)^2
9x^2+42x+49-84x = (3x-7)^2
9x^2-42x+49 = (3x-7)^2
(3x-7)^2 = (3x-7)^2
The two formulas
(a+b)^2 = a^2+2ab+b^2(a-b)^2 = a^2-2ab+b^2may be handy in terms of expanding out (3x+7)^2 and factoring 9x^2-42x+49
=============================================
Problem 5
x + 1/x = 11
a + b = 11 .... where a = x and b = 1/x
(a+b)^2 = 11^2
a^2 + 2ab + b^2 = 121
x^2 + 2*x*(1/x) + (1/x)^2 = 121
x^2 + 2 + 1/(x^2) = 121
x^2 + 1/(x^2) = 121-2
x^2 + 1/(x^2) = 119
An alternative route is to solve x + 1/x = 11 for x. You'll get two solutions. Use either solution to plug into x^2 + 1/(x^2) to find the result is 119.
What is the domain and range please?
Answer:
The domain of a function f(x) is the set of all values for which the function is defined, and the range of the function is the set of all values that f takes. (In grammar school, you probably called the domain the replacement set and the range the solution set.
which two fractions would make 1/8 plz help
Answer:
1/3 and 5/15
Step-by-step explanation:
Which equation represents the line that passes through points B and C on the graph?
Answer:
y= -2x-6
Step-by-step explanation:
Answer:
y = -2x - 6
Step-by-step explanation:
Took the quiz on Edge. Have an amazing day! ^w^
Are these answers right or some wrong? If some wrong plz answer them correct thanks!
You are wrong.
1, 2, 3 and 4 are correct.
5. 75%
6 is also correct
7. 100%
8. 50%
7(1 - x) = -3(x - 2)
Answer:
the answer is x= 1/4 :D .....
Answer: bro its x=1 over 4
Step-by-step explanation:
I Will Give You A Brainliest. I Need This Before 11/12/20 4pm.
Answer:
C Subtraction property of equality
Step-by-step explanation:
You are subtracting 21 from both sides in step 3
Answer:
I would guess C
Step-by-step explanation:
I hope I'm correct, good luck.
HURRYYYYY!!!!
Which system of linear inequalities is graphed?
HELP ASAP!!! determine how if possible the triangles are similar
Answer:
d not simlar just letting u know ur getting it wrong
Step-by-step explanation:
Answer:
I think A or C would be the answer! Hope this helped a little!!
evaluate the expression for the give value of the variable.
3d — 4
d = 1.2
A man invests some money at 10% interest for 1 year
After 1 year it is worth £3300
How Much did he invest?
FOR BRAINLY PLEASE INCLUDE A STEP BY STEP
Answer:
investment=£3000
Step-by-step explanation:
let ; principal amount (investment)=p ,
simple interest = p*t*r/100
£3300-p=p*1*10/100
(3300-p)100/10= p
33000-10p=p
33000=11p
33000/11 = p
£3000=p
Solve for x.
(1/9)^x=27^x/9^2x-1
Answer:
x=-2
Step-by-step explanation:
Simplify the expression
(-a)^-18
The snack bar at the school purchases water bottles at wholesale and then marks them up to make a profit. It marks up the water bottles by 33 and one-third percent, an amount of $0.28.
Percents
Total
33One-third%
33One-third%
33One-third%
100%
$0.28
$0.28
$0.28
What was the wholesale price of each water bottle?
$0.56
$0.84
$0.93
$1.12
Answer:
Step-by-step explanation:
0.84 * 33 1/3% = 0.28
The answer is $0.84
Answer:
0.84
Step-by-step explanation:
took the test edge 2021
29% of 100 tiles is how many tiles
Answer:
29
Step-by-step explanation:
ez
Answer:
29
Step-by-step explanation:
29% of 100
= 29/100 *100
= 29
evaluate the function at each specified
value of the independent variable and simplify
Answer:
Evaluating the function is just replacing the "x" (or the "t" in the second case) by the value that we want:
1) q(x) = 1/(x^2 - 9)
a) q(0) = 1/(0^2 - 9) = 1/(-9) = - 1/9
b) q(3) = 1/(3^2 - 9) = 1/(9 - 9) = 1/0 = indetermined, we could think this as:
[tex]\lim_{x \to \ 3} q(x) = infinity[/tex]
c) q(y + 3) = 1/( (y + 3)^2 - 9) = 1/(y^2 + 6*y + 9 - 9) = 1/(y^2 + 6*y)
2) q(t) = (2*t^2 + 3)/t^2
a) q(2) = (2*2^2 + 3)/2^2 = (2*4 + 3)/4 = 11/4
b) q(0) = (2*0^2 + 3)/0^2 = 3/0
Again, we can not divide by zero, this is simmilar to the case 1.b
c) q(-x) = (2*(-x)^2 + 3)/(-x)^2 = (2*x^2 + 3)/x^2
67,132 divided by 7= ?
Round your answer to the nearest tenth.
Answer:
DONE!
Step-by-step explanation:
67132/7 = 9590.28571429
Rounded to the nearest tenth: 9590.3
Answer:
9590.3
Step-by-step explanation:
finally got to answer lol
Which set of values could be the side lengths of a 30-60-90 triangle? A. {5,10,10 sqrt 3} B. {5,5 sqrt 2 ,10} C. {5,5 sqrt 3, 10} D. {5,10,10 sqrt 2}
9514 1404 393
Answer:
C. {5, 5√3, 10}
Step-by-step explanation:
The side ratios in a 30-60-90 triangle are ...
1 : √3 : 2
Multiplying these ratios by 5 gives the set of side lengths ...
(5, 5√3, 10)
Answer: 5, 5√3, 10
Step-by-step explanation:
Is this proportion true or false? 5/9 = 9/8 *
Answer:
False
Step-by-step explanation:
have a great dayyy
Answer:
False
Step-by-step explanation:
8(4y - 3) + 2(y - 5)
Answer:
34y-34
Step-by-step explanation:
Expand:
32y-24+2y-10
=34y-34
Answer:
34y-34 or 34(y-1) whichever is better for you specifically
Step-by-step explanation:
distribute so 32y-24+2y-10 then simplify like terms so 34y-34 or 34(y-1)
Please help!!!!!!!! #1
Answer:
its d , because your distributing the 5 into what's in the parenthesis .
Ronald wants to rent a car to take a trip and has a budget of $60. There is a fixed rental fee of $25 and a daily fee of $5. Write an inequality that would be used to solve for the maximum number of days for which Ronald can rent the car on his budget.
25 + 5x ≤ 60
25 + 5x ≥ 60
25x + 5 ≤ 60
25x + 5 ≥ 60
Answer:
35+5x<_60
Step-by-step explanation:
x would stand for the amount of days and for each day you would pay $5 add that to the fee of 25 and it has to be less than or equal to 60 because that is the extent of his budget
what the last guy was trying to say is
25 + 5x ≤ 60
btw this is correct i just did the test
Helpp plzzz!! Identify the corresponding side to side MN.
Answer:
st i think
Step-by-step explanation:
Answer:
I seem to have learned this, but I just don't remember how to do it? Even if I remember, I don't know how to count it?
3125x=−62 value of x.
Answer:
x= -0.01984
Step-by-step explanation:
You divide both sides by 3125 to get x alone.
You get x=-0.01984
Hope this helps!
can someone please help me .. will mark brainliest !
Answer:
a
Step-by-step explanation:
i don't really know just Draco told me i should answer this