Answer: x = 16/17; y = 1/17
condition: x,y > 0
we have:
[tex]\left \{ {{\sqrt{\frac{x}{y} } =4} \atop {\frac{1}{x}+\frac{1}{y}=\frac{1}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{1}{x}+\frac{1}{y} =\frac{1}{xy} }} \right.[/tex]
because x > 0, multiply x by the second equation, we have:
[tex]\left \{ {{\frac{x}{y} =16} \atop {x(\frac{1}{y}+\frac{1}{x}) =\frac{x}{xy} }} \right. \\\\<=>\left \{ {{\frac{x}{y} =16} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\<=>\left \{ {{\frac{x}{y} +1=17} \atop {\frac{x}{y} +1=\frac{1}{y} }} \right.\\\\=>\left \{ {{17-\frac{1}{y} =0} \atop {\frac{x}{y} =16}} \right.\\\\<=>\left \{ {{\frac{1}{y} =17} \atop {x=16y}} \right.\\\\<=>\left \{ {{y=\frac{1}{17} } \atop {x=\frac{16}{17} }} \right.[/tex]
Step-by-step explanation:
Mikayla went on a road trip. Two hours into the road trip, she had 15 gallons of gas in her tank. Seven hours into her trip, she had 3 gallons of gas in her tank. Find the rate of change
Answer: -2.4 gallons per hour
Step-by-step explanation:
Think of this as a linear equation where the rate of change is m.
m = (Y₂ - Y₁) / (X₂ - X₁)
Assume the points are: (2, 15) (7, 3)
m = (3 - 15) / (7 - 2)
= (-12) / 5
= - 2.4 gallons per hour
Gas is reducing by 2.4 gallons per hour.
What is the sum of (4x2+5x – 12) + (7x2 – 6x + 7)?
I need help.........
Answer:
1/12
Step-by-step explanation:
I did reverse equations, trust me. Also mark as brainliest
Please help due in 3 min
How do I write both of these questions in y=mx +b form?
-y-3+4x=0
-4=-3x-y
Step-by-step explanation:
1st one
y=4x-3
2nd one
y=4-3x
PLEASE HELP LOTS OF POINTS !!
Solve the equation
57=-3(m+5)+m
Answer:
M=-36
Step-by-step explanation:
Answer:
m = - 36
Step-by-step explanation:
57=−3(m+5)+m
57=−3(m+)+m
57=(−3)(m)+(−3)(5)+m(
57=−3m+−15+m
57=(−3m+m)+(−15)(
57=−2m+−15
57=−2m−15
−2m−15=57
−2m−15+15=57+15
−2m=72 div 2
Use the table and the graph to answer the questions.
Function 1
x −1 −2 −3
y 4 6.5 9
Function 2
(a) What is the rate of change for each function? Show your work.
(b) Which function has the greater rate of change?
Answer:
_24
Step-by-step explanation:
x −1 −2 −3
y 4 6.5 9
Function 2
The graph of a polynomial function is shown. Which statement about the polynomial is true?
Answer:
The degree is odd and the leading coefficient is positive.
Step-by-step explanation:
Clearly from the graph of the polynomial function we see that both the ends of the graph are in the opposite directions.
This means that the degree of the polynomial is odd.
( Since in even degree polynomial both the ends are in the same direction )
Also, the leading coefficient of the polynomial is positive.
Since, when a leading coefficient of a odd degree polynomial let p(x) is positive then it satisfies the following property:
when x → -∞ p(x) → -∞
and when x → ∞ p(x) → ∞
Pamela is making cupcakes. The recipe uses 5 ounces of chocolate fudge to make 20 cupcakes.
How many ounces of chocolate fudge will be used to make 60 cupcakes?
A. 3 ounces
B. 4 ounces
C. 12 ounces
D. 15 ounces
Answer:
D 15 ounces
Step-by-step explanation:
If 5 ounces for 20 cupcakes
60/ 20 =3
5 x 3 = 15
Hope this helps ^-^
(multiple choice) plz help me!!
[tex]8 \sqrt{5} is \: the \: length[/tex]
Step-by-step explanation:
[tex]( {16})^{2} = ( {x})^{2} - ( {8})^{2} \\ 256 = {x}^{2} - 64 \\ 256 + 64 = {x}^{2} \\ \sqrt{320} = \sqrt{ {x}^{2} } \\ 8 \sqrt{5} = x[/tex]
can someone help me wit dis?
Answer:
2
Step-by-step explanation:
What property is this?
5+(6+p) = (5+6) + p
Answer:
distributive property
Step-by-step explanation: I am 88% sure
......................help
Answer:
50.528º
Step-by-step explanation:
tanA = BC/BA
tanA = 17/14
A = 50.528º
Find the value of the variable. Leave your answer in simplest radical form.
a) 2√10
b) 2√5
c) √5
d) √10
i'll give brainliest !! please
Answer:
[tex]\sqrt{10}[/tex]
Step-by-step explanation:
This is a 45-45-90 triangle whose leg to hypotenuse ratio is 1 / [tex]\sqrt{2}[/tex]
so I set up a proportion of 1 / [tex]\sqrt{2}[/tex] = x / 2 [tex]\sqrt{5}[/tex]
cross-multiply to get [tex]\sqrt{2}[/tex]x = 2[tex]\sqrt{5}[/tex]
x = 2[tex]\sqrt{5}[/tex] / [tex]\sqrt{2}[/tex] and multiply numerator and denominator by [tex]\sqrt{2}[/tex], this is called rationalizing the denominator
lets do
[tex]\\ \sf\longmapsto \sqrt{2}x=2\sqrt{5}[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{2\sqrt{5}}{\sqrt{2}}[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{2}\sqrt{5}[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{2(5)}[/tex]
[tex]\\ \sf\longmapsto x=\sqrt{10}[/tex]
Za and Zb are complementary angles. Za measures 37°. What is the measure of Zb?
Answer:
Zb= 54°
Step-by-step explanation:
Complementary angles add up to 90°
90-37=54
jerry observed 5 head in tosses of his coin. Do you think this was a fair coin?
A regular pentagon and an equilateral triangle have the same perimeter. The perimeter of the pentagon is 5(x-2) inches. The perimeter of the triangle is 4(1/2x+2) inches. What is the perimeter of each figure?
Answer:
20 inches.
Step-by-step explanation:
We equate the perimeters:
5(x - 2) = 4(1/2x + 2)
5x - 10 = 2x + 8
5x - 2x = 8 + 10
3x = 18
x = 6
The perimeters = 5(6-2)
= 20 inches.
7 x n =42+7
A.6
B.7
C.42
D.56
E.294
Answer:
B 7
Step-by-step explanation:
7 x n = 42 +7
42+7=49
7xn=49
49÷7 = 7
n=7
List ALL the factors of 18 in increasing order
Answer:
try 45 its a great answer
I don’t know this one pls help me
Answer:
-3, 6
Step-by-step explanation:
The solution is where the two lines intersect.
Answer:
should be (-3,6)
Step-by-step explanation:
Put these numbers in order from smallest to biggest. Standard form need help ASAP!!
Use properties of operations to complete the equivalent expression. 5(y+9)=___y+___ 5(y+9)=nothingy+nothing
Answer:
5y+45
Step-by-step explanation:
Sx - 2y = 3
-5x + 4y = 9
Solve the system of equations.
es -
A)
x = 6, y = 3
B)
* = 6, y = 13
x = 3, y = 6
D)
x = 1, y = 0
Answer:
Yes
Step-by-step explanation:
A new bank customer with $4,000 wants to open a money market account. The bank is offering a simple interest rate of 1.2%.
a. How much interest will the customer earn in 30 years?
b. What will the account balance be after 30 years?
Answer:
Interest: $1440
Total Account Balance: $5440
Step-by-step explanation:
First, converting R percent to r a decimal
r = R/100 = 1.2%/100 = 0.012 per year,
then, solving our equation
I = 4000 × 0.012 × 30 = 1440
I = $ 1,440.00
The simple interest accumulated
on a principal of $ 4,000.00
at a rate of 1.2% per year
for 30 years is $ 1,440.00.
The simple Interest is $1440 and the total Account Balance: $5440.
What is simple interest?Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.
First, converting R percent to r a decimal,
r = R/100 = 1.2%/100 = 0.012 per year,
Then, solving our equation,
I = 4000 × 0.012 × 30 = 1440
I = $ 1,440.00
The simple interest accumulated,
on a principal of $ 4,000.00
at a rate of 1.2% per year
for 30 years is $ 1,440.00.
Therefore, the simple Interest is $1440, and the total Account Balance: $5440.
To know more about simple interests follow
https://brainly.com/question/2294792
#SPJ2
Y=__X+__ ??? plz answerrr
Answer:
y=3 over -6x + 5
Step-by-step explanation:
put the 3 and -6 in a fraction
If every 7 minutes I get 10.64k dollars how long will it take for me to get 4.5 million dollars
Answer:
approx 2960.53 minutes
Step-by-step explanation:
I am giving brainliest to the right answer!
ok answer this, 7x150+10 and that should be your answer.
Answer:
x=20
Step-by-step explanation:
there are two intersecting lines with two pairs of opposite angles each of the pairs are called vertical angles and if two angles are vertical, they are congruent
we know the angles are congruent, we also know (150=7x+10) and in order to solve for x we have to isolate x by subtracting 10 to both sides giving us (140=7x )
divide by seven on both sides to isolate x and that will give you x=20.
hope this helps :) have a nice day !!
HELP ME ASAP PLZZ
Which table represents the function y = 3x – 1?
Input x 1 2 3
Output y 4 7 10
Input x 0 1 2
Output y -1 -2 -3
Input x 0 1 2
Output y -1 2 5
Input x 2 3 4
Output y 2 4 6
Answer:
Input x 0 1 2
Output y -1 2 5
Step-by-step explanation:
just plug in all the answers for x and solve the equation. like this:
y=3*0-1=
y=0-1=
y= -1
---------------------
y=3*1-1=
y=3-1=
y=2
--------------------------
y=3*2-1=
y=6-1=
y=5
------------------------
all the results match with the table
hope I helped God bless you
In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°. Find all possible values of ∠K, to the nearest 10th of a degree.
Given:
In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.
To find:
The value of ∠K to the nearest 10th of a degree.
Solution:
According to the Law of Sine:
[tex]\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}[/tex]
We have, In ΔJKL, k = 4.1 cm, j = 3.8 cm and ∠J=63°.
Using the Law of Sine, we get
[tex]\dfrac{j}{\sin J}=\dfrac{k}{\sin K}[/tex]
[tex]\dfrac{3.8}{\sin (63^\circ)}=\dfrac{4.1}{\sin K}[/tex]
[tex]3.8\sin K=4.1\sin (63^\circ)[/tex]
[tex]\sin K=\dfrac{4.1\sin (63^\circ)}{3.8}[/tex]
[tex]\sin K=0.961349[/tex]
[tex]K=\sin^{-1}(0.961349)[/tex]
[tex]K=74.0182[/tex]
[tex]K\approx 74.0[/tex]
Therefore, the measure of angle K is 74.0 degrees.