Determine the best method to solve the system of equations. x = 2y – 1 3x + y = 11
Please answer the best you can. Thanks
Answer:
Subsitution
Step-by-step explanation:
We have the equations:
x=2y-1
3x+y=11
The 3 methods of solving systems of equations are:
graphing
substitution
addition/elimination
Graphing involves graphing the two equations and finding their point of intersection, which is the answer
Substitution involves isolating one of the variables in one of the equations, then substituting the resulting expression into the other equation to find both numbers
Addition/Elimination involves adding the two equations together to clear a variable, solving for the other variable, and substituting the answer to the first variable in one of the equations to find the value of the cleared variable from before
Since we have x already isolated onto one side in the first expression, we can easily substitute it as 2y-1 in the second equation.
Therefore, substitution is the best method to solve this graph.
hope this helps!
Answer:
hi
Step-by-step explanation:
what eqwation of a parabola with a focus(6,-2) and a directrix x=-2
Answer:
The equation of the parabola
( y +2 )² = 16 (x-2)
Step-by-step explanation:
Step(i):-
Given the focus of the Parabola ( 6, -2 )
we know that the Focus of the Parabola
( h + a , k ) = ( 6 , -2 )
Comparing
h + a = 6 ...(i)
and k = -2
Given directrix of the parabola
x = -2
The directrix of the parabola x = h - a = -2
h - a = -2 ...(ii)
Adding (i) and (ii) equations , we get
h + a + h-a = 6 -2
2 h = 4
⇒ h = 2
Substitute 'h' = 2 in equation (i) , we get
h + a = 6
2 + a = 6
a = 6 -2 =4
Step(ii):-
The equation of the parabola having Vertex ( h,k) = (2 , -2) and a = 4
[tex](y-k)^{2} = 4a ( x-h)[/tex]
( y - (-2))² = 4 (4) ( x -2)
Final answer:-
The equation of the parabola
[tex](y-(-2))^{2} = 4(4) ( x-2)[/tex]
( y +2 )² = 16 (x-2)
WILL MARK YOU BRAINLIEST
107 in the verse of 180 the whole turn will evaluate to 73.
Step-by-step explanation:
Consider solving 푥2+12푥+5=0by completing the square. What number should be added to both sides of the equation? 푥2+12푥+_____=−5+_____a. -36b. 36c. 16d. -16
Answer:
B. 36
Step-by-step explanation:
The equation in question is not well written. Let the equation be;
x²+12x+5 = 0
In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;
Coefficient of x = 12
Half of 12 = 1/2(12) = 6
Square of 6 = 6² = 36
Hence the required number to add to both sides of the equation by completing the square method is 36
Sal earns $12 per hour. His job offers him a raise, a 5% increase per hour.
After the raise, how much will Sal earn per hour?
Answer:
12.60.
Step-by-step explanation:
12.00 × 5%=.6
,6 + 12.00= 12.60
(I is confusion)What fraction of an hour is 35 minutes?give your answer in simplest form
WILL GIVE Brainiest
Write an expression equivalent to
X+5+2x+2
7+3x
I'm not sure but I just added like terms so
5+2 and 2x+x
“George found that he blinked 85 times in 15 minutes. At this rate, how many seconds passed during 51 blinks?”
Please help
Answer:
9 minutes
Step-by-step explanation:
Rate of George's blinking:
85 / 15 = 17 blinks in 3 minutes
so after 51 blinks, 51 / 17 = 3, 3 x 3 = 9 minutes
Find the Slope
A horse has a speed of 10 miles pero hour. The horse has already 15 miles. how many miles will it travel in total if it rides for another 4 hours?
Answer:
55 Miles total
Step-by-step explanation:
Question shown in the photo
What school subject is a witch good at?
Answer:
Spelling
Explanation:
Not gonna bother explaining the joke, I'm not that boring.
Check all of the temperatures that are within one
standard deviation of the mean.
Answer:
74 degrees 79 degrees
Step-by-step explanation:
or 6
Answer:
74 and 79 degrees
Step-by-step explanation:
i just did it
Megan bought a bicycle that cost $200.50 at a sporting good store. The sales tax
on the bicycle was 8%. How much did the bicycle cost with tax included?
Answer:
I believe it should be 216.54
Step-by-step explanation:
Multiply $200.5 by .08 (the tax) and then add the answer from the multiplication to the $200.5.
A percentage is a way to describe a part of a whole. The cost of a bicycle with tax included is $216.54.
What are Percentages?A percentage is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25 which is equal to 25%.
To convert a fraction to a percentage, convert the fraction to decimal form and then multiply by 100 with the '%' symbol.
Given Megan bought a bicycle that cost $200.50 at a sporting goods store. The sales tax on the bicycle was 8%. Therefore, the total cost will be,
Total cost = $200.50 + 8%
= $200.50 + (0.08 × $200.50)
= $216.54
Hence, the cost of a bicycle with tax included is $216.54.
Learn more about Percentages:
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Simplify
(6x^2y^-4)^-3
Answer:
y^12/216x^6
Step-by-step explanation:
First Im distrubiting the powers.
((6^-3)[(x^2)^-3][(y^-4)^-3])
(216^-1)(x^-6)(y^12)
Move the negative exponents
y^12/216x^6
help me with maths please
Answer:
n=−2.5
improper fraction: 5/2
Step-by-step explanation:
Step 1: Flip the equation.
2n=0.176777
Step 2: Solve Exponent.
2n=0.176777
log(2n)=log(0.176777)(Take log of both sides)
n*(log(2))=log(0.176777)
n=
log(0.176777)
log(2)
n=−2.5
then just make it an improper fraction = 5/2
or a mixed number = 2 1/2
PLEASE HELP ITS DUE IN % MINUTES PLEASE
Find the percent of change. Round to the nearest tenth, if necessary.
The Smith's home was worth $102,500 in 2013 and $111,000 in 2014.
Answer:
I think the percent of change would be 850000%,
Step-by-step explanation:
You would do 111,000 - 102,500 to find the amount of leftover money. This equals 8,500, which would be 850000% in percentages.
Jake is y years old. His grandma is 6 times his age. His cousin is 5 years older than him. a. Write an expression for each of their ages.
Answer:
y+5=c
6y=g
Step-by-step explanation:
C for cousin
G for grandma
HELP HELP HELP pleaseesjnsnsns
Answer:
C.
Step-by-step explanation:
12x+3 add them together
Express the following numbers as a ratio between an integer and a natural number.
a. 1 2/5, .3, −3 1/4, −27, 0
b. 36, −45, 4.2, −.8, 15 1/6, −2/9
Answer:
Step-by-step explanation:
a) 7/5, 3/10, -13/4,-27/1,0
b)36/1,-45/1,21/5, -4/5, 91/6,-2/9
Find the measure of
Answer:
134
Step-by-step explanation:
You must add the angles together:
67+67=134
Answer:
134
Step-by-step explanation:
Write the equation of the parabola with a focus at (-3, -5) and a directrix at y = -7.
Answer:
The directrix is negative so the equation will be
x^2=4ay
x=-3
y=-5
a=x^2/4y
a=(-3)^2 /4*(-5)
a=9/20
x^2=4*(9/20)*y
x^2=9/5y
Step-by-step explanation:
The directrix always determine the equation to use. It is also important to notice the sign(-+).
PLEASE HELP MEEE !!!! ITS GEOMETRY
Answer:
if I'm not worng it's plane
Simplify: - 7a + 8 + 5a
Answer:
it is -2a+8 your welcome
Joanna must make 2 dozen cookies for every 8 students in a sixth-grade class.
How many dozen cookies must she make if the class has 32 students?(Need answer ASAP)
A. 4 dozen
B.
8 dozen
C. 10 dozen
O D.
12 dozen
Answer:B. 8 dozen
Step-by-step explanation:
Answer:
B 8 Dozen
Step-by-step explanation:
Hope This Helps! :)
452.88 is 74% of what number? (Please show work)
Answer:
612
Step-by-step explanation:
To find this answer, you can invert the equation:
452.88 = 0.74x
x = 452.88 / 0.74
x = 612
The number 452.88 is 74% percentage of the number 612.
What is Percentage?percentage, a relative value indicating hundredth parts of any quantity.
We have to find the number of 452.88 is 74%
Let x be the number
74/100×x=452.88
74x/100 = 452.88
Multiply both sides by 100
74x=45288
Divide both sides by 74
x=45288/74
x=612
Hence, 452.88 is 74% of the number 612.
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i don't understand. May you help?
Answer:
Step-by-step explanation:
Function rule:
y = 10(0.95)ˣ
If a function is given as,
y = a(b)ˣ
a represents 'Initial value'
b represents the growth factor
If 0 < b < 1, function is a decay function.
If b > 1, function is a growth function.
For 2 = 10(0.95)ˣ,
Here, b = 0.95 which is in the interval of 0 < 0.95 < 1
So it's a decay function.
[tex]\frac{2}{10}=(0.95)^x[/tex]
log(0.2) = log[(0.95)ˣ]
log(0.2) = x[log(0.95)]
-0.6989 = -x(0.0223)
x = 31.44
x ≈ 31
Meaning → For 'x' = 31, value of the function is 2.
For 8 = 10(0.95)ˣ,
0.8 = (0.95)ˣ
log(0.8) = log(0.95ˣ)
log(0.8) = xlog(0.95)
x = 4.35 ≈ 4.4
Means, at x = 4.4, value of the function was 8.
Help !!!
See question in image.
Please show workings .
Answer:
4x-1
Step-by-step explanation:
The working is shown in the above photo
Answer:
see explanation
Step-by-step explanation:
Given f(x) then the derivative f'(x) is
f'(x) = lim ( h tends to zero ) [tex]\frac{f(x+h)-f(x)}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{2(x+h)^2-(x+h)-(2x^2-x)}{h}[/tex]
= lim ( h to zero ) [tex]\frac{2(x^2+2hx+2h^2)-x-h-2x^2+x}{h}[/tex]
= lim ( h to zero ) [tex]\frac{2x^2+4hx+2h^2-h-2x^2}{h}[/tex]
= ( lim h to 0 ) [tex]\frac{4hx+2h^2-h}{h}[/tex]
= ( lim h to 0 ) [tex]\frac{2h(2x+h)-h}{h}[/tex]
= lim ( h to 0 ) [tex]\frac{2h(2x+h)}{h}[/tex] - [tex]\frac{h}{h}[/tex] ← cancel h on numerator/ denominator of both
= lim( h to 0 ) 2(2x + h) - 1 ← let h go to zero
f'(x) = 4x - 1
WILL MARK BRAINLIEST!!! Solve the inequality - 3/4x + 6 > -3. x -2 x 12
Answer:
All real numbers
Step-by-step explanation:
Answer:
-3÷4x+6>-3×-2×12
-3÷4x+6>6×12
-3÷4x+6>72
-3÷4x+6-6>72-6
-3÷4x>66
-3÷4x×4x<66×4x
-3<264x
-3÷264<264x÷4
-0.01 (rounded)<x
Plzzzzz give me Brainliest!!!!!
Help please !!!!!!!!!!
9514 1404 393
Answer:
b = 7c = 5Step-by-step explanation:
Opposite sides of a parallelogram have the same length, so ...
5b +5c = 60
5b +4c = 55
Subtracting the second equation from the first, we get ...
c = 5
Substituting that into the first equation, we have ...
5b +5·5 = 60
5b = 35 . . . . . . . subtract 25
b = 7 . . . . . . . . . . divide by 5
The values b = 7 and c = 5 will make this a parallelogram.
At what rate did you invest your $1000, if it made you $120 in interest over the course of 3 years? (Write your answer as a percent without the percent sign)
Answer:
The rate at which the $1000 is invested is 4%.
Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.
Step-by-step explanation:
Amount invested = $1000
Total interest income over the course of 3 years = $120
Number of years = 3
Annual interest income = Total interest income over the course of 3 years / Number of years = $120 / 3 = $40
The interest ate on the $1000 invested can now be calculated as follows:
Interest rate = (Annual interest income / Amount invested) * 100 = ($40 / $1000) * 100 = 0.04 * 100 = 4%
Therefore, the rate at which the $1000 is invested is 4%.
Since the answer is required to be written without the percent sign, it therefore implies that he rate at which the $1000 is invested is 4.