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Given: -3x + y = 1.



Write the equation in general form Ax + By + C =0.

3x - y = -1
3x - y + 1 = 0
-3x + y - 1 = 0

Answers

Answer 1
The answer is the last option.

All you have to do is subtract the 1 on both side of the equation to set it to 0 to get it into the general form.

Related Questions

write a peacewise function for the graph
please help me

Answers

Answer:

[tex]\left \{ {{y=x; \ \ x\le 0} \atop {y=4+ \frac12x;\ \ x>0}} \right.[/tex]

Step-by-step explanation:

If you look at the graph you see that:

before 0, the graph has same y as it has x, or y=x.

after 0, the graph starts at 4, and increases by 1 every 2 steps horizontally, or has a slope of 1/2.

Finally, the 0 has to be included in the blue part of the graph based on where the solid dot is.

1. Which of the following equations is equivalent to y = ? 048 = 7x - 21 28 = 12x - 36 O 4x - 3 = 84 O4x - 12 = 84​

Answers

Answer:

4x - 12 = 84

Step-by-step explanation:

The last answer choice is correct because when you cross-multiply:

[tex]4(x-3) = 12(7)[/tex] [tex]4x - 12 = 84[/tex]

you get 4x - 12 = 84.

Therefore, the last option is correct.

Answer:

D would be the answer (4x-12=84)

Step-by-step explanation:

4/7=12/x-3

=>1/7=3/x-3

=>x-3=21

Multiplying both sides by 4

4(x-3)=4x21

=>4x-12=84

Hope this helped :)

Which ratio is equivalent to 7:3?
217
49:9
12: 8
28:12

Answers

Answer:

i think it is 49:9

Step-by-step explanation:

because number going in 49:9 by which multiple it is 7x7 is 49 3x3 is 9 so the answer is 49:9

Answer:

28:12

Step-by-step explanation:

Multiply both 7 and 3 by 4 and you get the ratio 28:12.

Which is greater, 2 to the fifth power or 5 squared?

Answers

Answer: 2^5

Step-by-step explanation:

2^5= 2x2x2x2x2=32

5^2=5×5=25

2 to the 5th power is the correct answer

help!! !,
is it right or not ​

Answers

Answer:

No

Step-by-step explanation:

The answer is to find the sum of each number, because factors are pulling out from total numbers, but when multiplying you don't need to pull out anything so it would be number

Yep!!! Your correct

The Sydney Harbour Bridge is approximately 1200 metres long. A model of the bridge is built with a scale of 1:6000. What is the length of the model?
Pick one:
5cm
20cm
200cm
720cm

Answers

Answer:

20cm

Step-by-step explanation:

The Sydney Harbour Bridge is approximately 1200 metres long. A model of the bridge is built with a scale of 1:6000. What is the length of the model?

Pick one:

5cm

20cm

200cm

720cm

--------------------

scale = 1:6000

so

1200 : 6000 =  0.2m

0.2m = 20 cm

Answer:

20cm

Step-by-step explanation:

«A scale of 1:6000» means the model is smaller than the bridge by a factor of 6000. We can also make up a proportion [tex]\dfrac{1}{6000}=\dfrac{x}{1200}[/tex], where the left side is the scale, x is the model length, 1200 is the bridge length (in meters). So, finding x or just dividing 1200 by 6000, we get 0.2 meters. Provided 1 m = 100 cm, 0.2 m is 0.2 × 100 = 20 cm.

A car is moving at 12 m/s and has a mass of 600 kg. What is the kinetic energy of the car? (Formula: KE = 1/2mv^2) WILL GIVE BRAINLEST

Answers

Answer:

The kinetic energy of the car is 43,200 Joules.

Step-by-step explanation:

KE = (1/2)mv^2

KE = (1/2)(600 kg)(12 m/s)^2

KE = (1/2)(600 kg)(144 m^2/s^2)

KE = 43,200 kg*m^2/s^2 = 43,200 Joules

Answer:

Step-by-step explanation:

KE= 1/2mv^2

KE = 1/2(600) 12^2

KE = 300 * 144 = 43200J

You want to have $200,000 when you retire in 25 years. If you can earn 3% interest rate compounded continuously, how much would you need to deposit now into the account to reach your retirement goal?

Answers

9514 1404 393

Answer:

  $94,473.31

Step-by-step explanation:

The multiplier in 25 years is ...

  e^(rt) = e^(0.03·25) = e^0.75 ≈ 2.117

To have an account value of $200,000 in 25 years, you need to deposit now ...

  $200,000/2.117 = $94,473.31

_____

When this amount is multiplied by 2.117, the result is 200,000.

HELPPP OMGGG
10, 10, 18, 18, 10, 5, 12, 13
Find the median and mean number of hours for these students.
If necessary, round your answers to the nearest tenth.

Answers

Median:Put the numbers in order and choose the one in the middle.
5,10,12,13,18
12 is the number in the middle so it’s your median.

Mean:Add all the numbers and then divide your answer by how many numbers there are.
10+10+18+18+10+5+12+13=96
There are 8 numbers so 96 divided by 8=12
meaning your median is also 12
10 is the median and mean is and mean is 68 because in mean we need to sum all number given and in median we need find the middle number of all

solve pls brainliest

Answers

Answer:

first put 2 in the numerator for the first blank and 2/9 in the second blank

Step-by-step explanation:

1/3 equals 3/9 and 3/9-1/9=2/9

Answer:

[tex]\frac{3}{9}[/tex]

Step-by-step explanation:

if y varies inversely as n and m = 8 when n = 3 find m whenn =12

Answers

Answer:

24

Step-by-step explanation:

m=8x4 n=3x4 so that is the answer

Solve for n.

9 =
n
2
+ 7


n =

Answers

Answer:

9/n-2=7

We move all terms to the left:

9/n-2-(7)=0

Domain of the equation: n!=0

n∈R

We add all the numbers together, and all the variables

9/n-9=0

We multiply all the terms by the denominator

-9*n+9=0

We add all the numbers together, and all the variables

-9n+9=0

We move all terms containing n to the left, all other terms to the right

-9n=-9

n=-9/-9

n=1

Answer:

n = 1

Step-by-step explanation:

2 x 1 = 2

2 + 7 = 9

Solve for x x^2 + 6x + 1 = 0

Answers

Answer:

x = -.1715 ≈ - .172    or x = -5.83

Step-by-step explanation:

x² + 6x + 1 = 0

x² + 6x = -1

Complete the square   Add to both sides (1/2 of the x-term, then square it.)

x² + 6x + 9  = -1 + 9

(x + 3)(x + 3) = 8

(x + 3)² = 8

[tex]\sqrt{(x + 3)^{2}[/tex]  = [tex]\sqrt{8}[/tex]

 x + 3 = ±  [tex]\sqrt{8}[/tex]

  x = -3 ± [tex]\sqrt{8}[/tex]

   x = -3 + [tex]\sqrt{8}[/tex]   or x = -3 - [tex]\sqrt{8}[/tex]

   x = -.1715 ≈ - .172    or x = -5.83

Kindly solve and explain

Answers

Solution:

[tex] \frac{{12}^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = \frac{(3 \times 4) ^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = \frac{ {3}^{ \frac{1}{2} } \times {4}^{ \frac{1}{2} } }{ {3}^{ \frac{3}{2} } } \\ = {3}^{ (\frac{1}{2} - \frac{3}{2}) } \times 2 ^{2 \times \frac{1}{2} } \\ = {3}^{ - \frac{2}{2} } \times 2 \\ = 3 ^{ - 1} \times 2 \\ = \frac{2}{3} [/tex]

Answer:

[tex] \frac{2}{3} [/tex]

Hope it helps.

Do comment if you have any query.

HELP GIVING BRAINLIEST (NO LINKS) 50 POINTS
Expression A: 2(x + 1)
Expression B: 2x + 2
which statement does not show that these expressions are equivalent

A.subsitiuting any value of x makes the expressions equivalent

B. Both expressions involve addition

C. The expressions name the same number regardless of the value of x

D. 2(x +1) can be rewritten as 2x + 2 using the distributive property

Answers

It’s B, because addition doesn’t do anything to prove that the expressions are equivalent.

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Question ~}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

Prove that ~

[tex] \dfrac{d}{dx}\sec(x) = \sec(x) \tan(x) [/tex]


by using first principle of differentiation ~​

Answers

Answer:

METHOD I:

(by using the first principle of differentiation)

We have the "Limit definition of Derivatives":

[tex]\boxed{\mathsf{f'(x)= \lim_{h \to 0} \{\frac{f(x+h)-f(x)}{h} \} ....(i)}}[/tex]

Here, f(x) = sec x, f(x+h) = sec (x+h)

Substituting these in eqn. (i)

[tex]\implies \mathsf{f'(x)= \lim_{h \to 0} \{\frac{sec(x+h)-sec(x)}{h} \} }[/tex]

sec x can be written as 1/ cos(x)

[tex]\implies \mathsf{f'(x)= \lim_{h \to 0} \frac{1}{h} \{\frac{1}{cos(x+h)} -\frac{1}{cos(x)} \} }[/tex]

Taking LCM

[tex]\implies \mathsf{f'(x)= \lim_{h \to 0} \frac{1}{h} \{\frac{cos(x)-cos(x+h)}{cos(x)cos(x+h)} \} }[/tex]

By Cosines sum to product formula, i.e.,

[tex]\boxed{\mathsf{cos\:A-cos\:B=-2sin(\frac{A+B}{2} )sin(\frac{A-B}{2} )}}[/tex]

=> cos(x) - cos(x+h) = -2sin{(x+x+h)/2}sin{(x-x-h)/2}

[tex]\implies \mathsf{f'(x)= \lim_{h \to 0} \frac{2sin(x+\frac{h}{2} )}{cos(x+h)cos(x)}\:.\: \lim_{h \to 0} \frac{sin(\frac{h}{2} )}{h} }[/tex]

I shifted a 2 from the first limit to the second limit, since the limits ar ein multiplication this transmission doesn't affect the result

[tex]\implies \mathsf{f'(x)= \lim_{h \to 0} \frac{sin(x+\frac{h}{2} )}{cos(x+h)cos(x)}\:.\: \lim_{h \to 0} \frac{2sin(\frac{h}{2} )}{h} }[/tex]

2/ h can also be written as 1/(h/ 2)

[tex]\implies \mathsf{f'(x)= \lim_{h \to 0} \frac{sin(x+\frac{h}{2} )}{cos(x+h)cos(x)}\:.\: \lim_{h \to 0} \frac{1\times sin(\frac{h}{2} )}{\frac{h}{2} } }[/tex]

We have limₓ→₀ (sin x) / x = 1.

[tex]\implies \mathsf{f'(x)= \lim_{h \to 0} \frac{sin(x+\frac{h}{2} )}{cos(x+h)cos(x)}\:.\: 1 }[/tex]

h→0 means h/ 2→0

Substituting 0 for h and h/ 2

[tex]\implies \mathsf{f'(x)= \lim_{h \to 0} \frac{sin(x+0)}{cos(x+0)cos(x)} }[/tex]

[tex]\implies \mathsf{f'(x)= \lim_{h \to 0} \frac{sin(x)}{cos(x)cos(x)} }[/tex]

[tex]\implies \mathsf{f'(x)= \lim_{h \to 0} \frac{sin(x)}{cos(x)}\times \frac{1}{cos x} }[/tex]

sin x/ cos x is tan x whereas 1/ cos (x) is sec (x)

[tex]\implies \mathsf{f'(x)= tan(x)\times sec(x) }[/tex]

Hence, we got

[tex]\underline{\mathsf{\overline{\frac{d}{dx} (sec(x))=sec(x)tan(x)}}}[/tex]

-  - - - -  - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

METHOD II:

(by using other standard derivatives)

[tex] \boxed{ \mathsf{ \frac{d}{dx} ( \sec \: x) = \sec x \tan x }}[/tex]

sec x can also  be written as (cos x)⁻¹

We have a standard derivative for variables in x raised to an exponent:

[tex] \boxed{ \mathsf{ \frac{d}{dx}(x)^{n} = n(x)^{n - 1} }}[/tex]

Therefore,

[tex] \mathsf{ \frac{d}{dx}( \cos x)^{ - 1} = - 1( \cos \: x) ^{( - 1 - 1} } \\ \implies \mathsf{\ - 1( \cos \: x) ^{- 2 }}[/tex]

Any base with negative exponent is equal to its reciprocal with same positive exponent

[tex] \implies \: \mathsf{ - \frac{1}{ (\cos x) {}^{2} } }[/tex]

The process of differentiating doesn't just end here. It follows chain mechanism, I.e.,

while calculating the derivative of a function that itself contains a function, the derivatives of all the inner functions are multiplied to that of the exterior to get to the final result.

The inner function that remains is cos x whose derivative is -sin x.

[tex] \implies \mathsf{ - \frac{1}{ (\cos x )^{2} } \times ( - \sin x) }[/tex]

cos²x can also be written as (cos x).(cos x)

[tex] \implies \mathsf{ \frac{ \sin x }{ \cos x } \times ( \frac{1}{cos x} ) }[/tex]

sin x/ cos x is tan x, while 1/ cos x is sec x

[tex] \implies \mathsf{ \tan x \times \sec x }[/tex]

= sec x. tan x

Hence, Proved!

Write two Pythagorean triplets each having one of the numbers as 5.

Answers

Answer:

3, 4, 5 and 5, 12, 13

Step-by-step explanation:

The square of the largest side is equal to the sum of the squares of the other 2 sides.

5² = 3² + 4²

13² = 5² + 12²

The 2 triplets are (3, 4, 5 ) and (5, 12, 13)


I need help I will give 40 points and Brainliest!!!!!!Finding the Slope of a Line from a Table
x
y
What is the slope of the linear function represented in
the table?
O-7
-7
0
17
oi
0
O 7

Answers

Answer:

hmmmmm

Step-by-step explanation:

Find the x
1/2x+3/4=x5/6

Answers

Answer:

[tex]x=\frac{9}{4}[/tex]

Step-by-step explanation:

Answer:

[tex]\boxed{\boxed{\sf x=\frac{9}{4} }\:\sf or \:\boxed{x=2.25}}[/tex]

Step-by-step explanation:

[tex]\sf \cfrac{1}{2}\:x+\cfrac{3}{4}=\:x\cfrac{5}{6}[/tex]

Subtract x (5/6) from both sides:

[tex]\longmapsto\sf \cfrac{1}{2}\: x+\cfrac{3}{4} -x\left(\cfrac{5}{6}\right)=0[/tex]

Subtract 3/4 from both sides:

** Anything subtracted from zero gives its negation.**

[tex]\longmapsto\sf -\cfrac{1}{3}\:x=-\cfrac{3}{4}[/tex]

Multiply both sides by -3, reciprocal of - 1/3

[tex]\longmapsto\sf x=-\cfrac{3}{4} (-3)[/tex]

Express - 3/4 (-3) as single fraction:

[tex]\longmapsto\sf x=\cfrac{-3(-3)}{4}[/tex]

Multiply -3 and -3 = 9

[tex]\longmapsto\sf x= \cfrac{9}{4}[/tex]

______________________________________

2x2-5x-2 solve by quadratic formula 9leave answers in simplest radical form)

Answers

Answer:

-5x+2

Step-by-step explanation:

1. Multiply number 2 and 2=4 so it is

4-5x-2

2. Combine like terms

-5x+4-2

3. Subtract the numbers

-5x+2

If we convert 0.14 x10^3 to scientific notation, which direction should the

decimal move and how spaces should it move?

Answers

Answer:

Move it to the right by 3 spaces.

Step-by-step explanation:

10^3 is 1000

On a number line the negative numbers are on the left and the positive numbers are on the right. So since the exponent is a positive 3 we move it to the right by 3 spaces to get 140

9. 2 less than 3 times a number is the same as 2114. What is the number?

Enter your answer as a decimal or simplified mixed number in the box. The number is.

Answers

Answer:

705.3 repeated I don't know if that's what you want but

3 times of 705.33 and 2 subtracted is equal to 2114.

What is Simplification?

Simplification in mathematical terms is a process to convert a long mathematical expression in simple and easy form.

Given that,

2 less than 3 times a number equal to 2114.

Let the required number is x.

According to given condition,

3x - 2 = 2114

3x = 2114 + 2

3x = 2116

x = 2116 / 3

x = 705.33

The required number is 705.33.

To know more about Simplification on :

https://brainly.com/question/2804192

#SPJ5

A person in car, travelling at 90 kilometers per hour, takes 2 seconds to go past the building on the side of the road. Calculate the length of the building in meters help

Answers

Step-by-step explanation:

very simple thought experiment :

he is going 90 km/h (90 kilometers per hour), so, he moving 90 km in 1 hour.

how far is he going in just 2 seconds ?

so, we get two ratios.

90km/1 hour = 90,000 meter / 1 hour

x meter / 2 seconds

we need to bring both ratios (they are fractions) to the same dimension of the denominators, so that we can then bring them to the same denominator.

the first is dealing with an hour.

the second one with (2) seconds.

so, how many seconds are in 1 hour ?

60 seconds per minute, 60 minutes in the hour.

60×60 = 3600 seconds.

so, now we know, the first ratio is also

90,000 meter / 3600 seconds

now we need the factor to to multiply numerator and denominator with to bring 3600 down to 2.

3600 × f = 2

f = 2/3600 = 1/1800

now we get

90,000 / 3600 × (1/1800) / (1/1800) =

(90000 / 1800) / (3600 / 1800) = 50 / 2

so, 90km/h is the same speed as 50 meter / 2 seconds.

and therefore we know, the building was 50 meters long.

help me please asap

Answers

Answer:

5/6

Step-by-step explanation:

2/

3

: 4/

5

= 2/

3

· 5/

4

= 2 · 5/

3 · 4

= 10/

12

= 2 · 5/

2 · 6

= 5/

6

5/6!!

Hope you get it right

find the value of x. only type the “number”

Answers

Step-by-step explanation:

5x - 6 = 3x + 2

5x - 3x = 2 + 6

2x = 8

x = 8/2

x = 4

Please help! I will give brainlist

Answers

1)x=-1
2)x=7+square root of 33/2
3)x=1+square root of 5/2
4)x=1 or x=-10
5)2+square root of 7 or 2-square root of 7
6)i don’t now this
7)x=0
8)3+ square roof of 41/2
9)-3+square root of 13/2
10)x=2 or x=1
11)y=6 or y=1
12)z=4 or z=1
Formula for this equation is:
ax^2+bx+c=0
X=-b+ or - square root of b^2-4ac/2a
Hope this help

the perimeter of this triangle is 46cm find x​

Answers

Answer:

the value of x is 12

......

Which best describes the error in finding the area of the parallelogram?


15 meters was used for the height instead of 13 meters.
15 meters was used for the height instead of 13 meters.

8 meters was used for the height instead of 13 meters.
8 meters was used for the height instead of 13 meters.

The product of 8 and 15 is not 120.
The product of 8 and 15 is not 120.

The formula to use should have been A=12bh instead of A=bh.
The formula to use should have been, cap A is equal to 1 half b h instead of cap A is equal to b h.

Question 2
Correct the error.

A=

=
m2

Answers

Answer:

104

Step-by-step explanation:

Find the value if f(x) = -3x -8 and g(x) = x2 + 3. f(-3) =​

Answers

Step-by-step explanation:

f(x) = -3x - 8

f(-3) = -3(-3) - 8

f(-3) = 9 - 8

f(-3) = 1

What is the 4th equivalent fraction to 1/12?

Answers

Answer:

Where's the Answer? There's No

Hello there!

Remember that equivalent fractions have the same value.

[tex]\frac{1}{2} , \frac{2}{24} ,\frac{3}{36}, \frac{4}{48}[/tex]

Therefore, the 4th equivalent fraction to 1/12 is [tex]\frac{4}{48}[/tex]

Hope this helps you!

~Just a felicitous girlie

#HaveASplendidDay

[tex]SilentNature :)[/tex]

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