Solve the system of linear equations. 3x−2y=1 9x−6y=3

Answers

Answer 1
Get the y by itself

-2y= -3x + 1

Divide -2 to everything

y= 3/2x - 1/2


Other equation (get y by itself)

-6y= -9x + 3
y=3/2x - 1/2

Use substitution

3/2x-1/2=3/2-1/2

0=0

All real numbers (any value of x makes the equation true)

Related Questions

Which minor scale has 3 flats

Answers

Answer:

C Minor

Step-by-step explanation:

Find sin A.16/12, b.16/20, c.12/20, d. 12/16, I will give branliest!!!, pls help!

Answers

Answer:

B) 16/20

Step-by-step explanation:

sin∅=opposite/hypotenuse

sin∅=16/20

Therefore, your answer is B.

Answer:

(12/16)

Step-by-step explanation:

Write a fraction to represent the probability of rolling a two.

Answers

Answer:

1/6

Step-by-step explanation:

if you want to roll a 2 from a six sided dice then you have six different outcomes. If you want a two then you have a 1 out of six chance of getting the two

Answer:

thats id correct 1/6

Step-by-step explanation:

the possible out come of rolling a 2 out of six is 1/6

Use the following explicit function to identify f(1) & r, and list the first five terms of the sequence.
f(n) = 1000(1/4)^n-1
f(1) =?
r = ?
then the 5 terms:
___, ___, ___, ___, ___...​

Answers

Given:

The explicit function is:

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]

To find:

[tex]f(1)=?,r=?[/tex] and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

[tex]f(n)=ar^{n-1}[/tex]            ...(i)

Where, a is the first term and r is the common ratio.

We have,

[tex]f(n)=1000\left(\dfrac{1}{4}\right)^{n-1}[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]a=1000[/tex]

[tex]f(1)=1000[/tex]

And,

[tex]r=\dfrac{1}{4}[/tex]

For [tex]n=1[/tex],

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{1-1}[/tex]

[tex]f(1)=1000\left(\dfrac{1}{4}\right)^{0}[/tex]

[tex]f(1)=1000(1)[/tex]

[tex]f(1)=1000[/tex]

For [tex]n=2[/tex],

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{2-1}[/tex]

[tex]f(2)=1000\left(\dfrac{1}{4}\right)^{1}[/tex]

[tex]f(2)=1000\times \dfrac{1}{4}[/tex]

[tex]f(2)=250[/tex]

Similarly, substituting [tex]n=3,4,5[/tex], we get

[tex]f(3)=62.5[/tex]

[tex]f(4)=15.625[/tex]

[tex]f(5)=3.90625[/tex]

Therefore, [tex]f(1)=1000,r=\dfrac{1}{4}[/tex] and the first five terms are [tex]1000,250,62.5,15.625,3.90625[/tex].

Given:

The explicit function is:

To find:

and first 5 terms.

Solution:

The explicit formula a geometric sequence is:

           ...(i)

Where, a is the first term and r is the common ratio.

We have,

        ...(ii)

On comparing (i) and (ii), we get

And,

For ,

For ,

Similarly, substituting , we get

Therefore,  and the first five terms are .

HELP WITH THIS PLEASEEEE

Answers

Answer:

1) G

2) B

3) I

4) H

Step-by-step explanation:

Perimeter of a triangle formula:

P = a + b + c

1)

P = x + 6 + 3x + 2 + 2x + 4

P = 6x + 12

2)

P = 6x + 4 + 7x + 1 + 5x + 7

P = 18x + 12

3)

P = 4x - 3 + 3x + 5x - 6

P = 12x - 9

4)

P = 6x - 8 + 3x + 7 + 5x - 3

P = 14x - 4

According to the line plot what is the total amount of time spent studying by all students who studied 1/4 hour or 3/4 hour​

Answers

Answer:

2  3/4 hours

Step-by-step explanation:

We see from the figure that 2 students spent 1/4 hours and 3 students spent 3/4 hours.

So the total time spent is

2* (1/4) + 3(3/4) hours

= 1/2 + 9/4

=(2+9)/4  taking l.c.m

= 11/4

= 2 3/4 hours

The total time spent by 5 students on 1/4 hours and 3/4 hours is 2 and 3/4 hours.

Ariel is making bracelets. She bought a 15% foot long string, and a 1243 foot long string. If each
bracelet requires 42 of a foot of string, how many bracelets can Ariel make?

Answers

Answer:

She can make 55 bracelets

Step-by-step explanation:

We have the correct question as follows;

Ariel bought a 15 1/6 foot long string, and a 12 1/3 foot long string. If each bracelet requires 1/2 of a foot long string, how many bracelets can Ariel make

we have the solution as follows

Firstly, we need to find the total length of the strings bought

We can get this by adding what was bought

That would be;

15 1/6 + 12 1/3

= 91/6 + 37/3

= (91 + 74)/6 = 27 1/2 ft

From the question, each bracelet requires 1/2 ft long

so the number of 1/2 ft long bracelets we can find will be;

27 1/2 divided by 1/2

= 55/2 * 2/1

= 55

A line with a slope of 5 passes through the point (1,9). What is its equation in slope-intercept form? Write your answer using integers, proper fractions, and improper fractions in simplest form.​

Answers

Answer:

y = 5x + 4

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 5, then

y = 5x + c ← is the partial equation

To find c substitute (1, 9) into the partial equation

9 = 5 + c ⇒ c = 9 - 5 = 4

y = 5x + 4 ← equation of line

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Indicate the equation of the given line in standard form.

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

y - 4 = 2/3 (x - 3)

Answers

Answer:

The equation of the line is;

3y = 2x-8

Step-by-step explanation:

Firstly, we need the to get the slope of the given line

To do this, we will write the equation of the line in the standard form

the standard form

is;

y = mx + b

where m is the slope and b is the y-intercept

y -4 = 2/3(x-3)

y -4 = 2x/3 - 2

y = 2x/3 -2 + 4

y = 2x/3 + 2

with respect to the given equation, the slope of the line is 2/3

Mathematically, when two lines are parallel, the slopes of the line are equal

So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)

so;

y = 2x/3 + b

So substitute the values of (1,-2)

1 for x and -2 for y

-2 = 2/3(1) + b

-2 = 2/3 + b

b = -2 - 2/3

b = (-6-2)/3 = -8/3

So the equation of that line is;

y = 2/3x - 8/3

Multiply through by 3

3y = 2x - 8

Is (4, 3) a solution of the graphed inequality?

Answers

No it is not. Anything in the shaded area is a solution m. (4,3) is not in the shaded area so it is not a solution for the graphed inequality.

Just to review, probability can be written as....

Answers

Answer:

Percentage

Step-by-step explanation:

The higher the probability number or percentage of an event, the more likely is it that the event will occur. If an event has only one possible outcome, the probability for this outcome is always 1 (or 100 percent).

Erica's bill for breakfast at a restaurant was $64. She left an 18% tip. What was the amount of the tip?

Answers

Answer:

$11.52

Step-by-step explanation:

18% of 64 is 11.52


La vitesse moyenne de 108 km/h correspond à :

Answers

Answer:

i dont know the language

Step-by-step explanation:

Find the value of x
−0.5x−0.75=2.15

Answers

Answer:

-5.8

Step-by-step explanation:

GEOMETRY - triangle similarity

Answers

Answer:

ΔABC ≈ ΔDEF

∡B ≅ ∡E

x = 4.5

BC is similar to EF

Step-by-step explanation:

to find 'x':

6/16 = x/12

16x = 72

x = 4.5

Answer:

1) tri ABC ~ tri DEF

2) angle B ~ angle E

3) x= 4.5

4) ?= BC

Step-by-step explanation:

hi! a note: pls let me know if any of the answers are wrong ! i want anyone to have a wrong answer because of me thank u vm! (obviously, my explanations are not the official mathematical explanations)

1) I just matched up the letters, A to D, B to E, C to F

You can also use ratios, but if you dont need an explanation then ignore it.

2) matched up the angles: B corresponds to E

3) Ratio: 6/16 = x/12

              16x = 72   cross multiply

                 x = 4.5

4) Again, just match up the sides

BC corresponds to EF

hope this helps :D best of luck

Please help ill give brainlest

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Two parallel lines are cut by a transversal. What is the measure of 26?
A. 180°
B. 90°
C. 123°
D. 57°

Answers

your answer will be option D.
Step-by-step explanation:
123 + x = 180
x = 180 -123
x = 57

Answer:

57

Step-by-step explanation:

1+2=180

123+2=180

2=180-123

2=57

2=6=57 ( because 2 and 6 are 2 isotopic angles)

Andrew's bus pass has $35 on it. Each time he rides the bus $1.50 is deducted from his card.
How many times can he ride the bus before he ends up with only $5 left

Answers

Answer:

He can ride the bus 20 times

Step-by-step explanation:

35-5=30

3=2x1.5

mental gymnastics helped me lol

A 20 foot ladder is leaning up against the side of a house the distance between the house and the base of the ladder is 4 feet find the angle that the ladder makes with the ground

Answers

Answer:

78.5°

Step-by-step explanation:

We solve for the above question, using the formula for the Trigonometric function of Cosine

cos θ = Adjacent/Hypotenuse

Adjacent = The distance between the house and the base of the ladder = 4 feet

Hypotenuse = Length of the Ladder = 20 feet

Hence,

cos θ = 4/20

θ = arc cos(4/20)

θ = 78.463040967°

Approximately = 78.5°

Therefore, the angle that the ladder makes with the ground is 78.5°

The exact circumference of a circle is 34π meters. What is the approximate area of the circle? Use 3.14 for π. Round to the nearest hundredth if necessary.

Answers

Answer:

A = 907.46 [tex]m^{2}[/tex]

Step-by-step explanation:

C = πd

34π = πd

d = 34

r = 17

A = [tex]\pi r^{2}[/tex] = 3.14([tex]17^{2}[/tex]) = 3.14(289) = 907.46 [tex]m^{2}[/tex]

how much faster was jose jogging than edwin was walking in miles per hour​

Answers

Answer:

there is not enough info to answer this

Step-by-step explanation:

Answer: There is not enough information given to answer. You need to include how fast Jose and Edwin were jogging/walking.

The equation 2x2+2y2−8x−12y+16=0 2 x 2 + 2 y 2 − 8 x − 12 y + 16 = 0 defines a circle. Which of these shows a correct step for determining the center and radius of this circle? Choose all that are correct.

(2x2−8x+16)+(2y2−12y+36)=−16+36
(
2
x
2

8
x
+
16
)
+
(
2
y
2

12
y
+
36
)
=

16
+
36

(x−4)2+(y−9)2=5
(
x

4
)
2
+
(
y

9
)
2
=
5

(x2−4x+4)+(y2−6y+9)=−8+13
(
x
2

4
x
+
4
)
+
(
y
2

6
y
+
9
)
=

8
+
13

x2+y2−4x−6y=−16
x
2
+
y
2

4
x

6
y
=

16

(x−2)2+(y−3)2=5

Answers

what do i choose? because all i see is a lot of numbers and words lol

write an equation in point slope form for the given point and slope point (4 -6) slope 2

pleasee help ill give you 50 points if u help me and give me the right answer

Answers

Answer:

y=2x-14

Step-by-step explanation:

PLEASE HELP VERY IMPORTANT​

Answers

i thinks it’s the second choice, not sure if i’m correct.

can someone help me please? and if its okay can you show the step by step explanation.​

Answers

These are literal equations- that means you solve literally for the numbers.
1. t=d/r
2. m=e/c^2
3. C= -P/R
And so on... You just divide/subtract the letters to the other side


The sum of three consecutive odd integers is 189. What
are the integers?

Answers

Answer:

61, 63, 65

Step-by-step explanation:

n + n+2 + n+4 = 189

3n = 183

n = 61

Answer:

The three consecutive odd integers are 61, 63, and 65

Step-by-step explanation:

Let the three consecutive odd integers be:

n + 1, n + 3 and n + 5

Therefore:

n + 1 + n + 3 + n + 5 = 189

3n + 9 = 189

3n = 180

n = 60

n + 1 = 61

n + 3 = 63

n + 5 = 65

You have 3 red marbles, 5 green, and 2 blue marbles. What is the probability of pulling a blue marble and then replacing the first marble and then grabbing a green marble?
(As a percent)

Answers

Answer:

I think it's [tex]\frac{7}{10}[/tex].

Why 7/10?

Well, the probability of pulling out a blue marble + pulling out a green marble is also written as [tex]\frac{2}{10} +\frac{5}{10}=\frac{7}{10}[/tex]

All the real numbers have reciprocal except

Answers

All real numbers except 0 have reciprocals. The reciprocal of a negative number must itself be a negative number so that the number and its reciprocal multiply to 1.

Hope this helps!

Find f-1(x) if f(x) = 2x/3-4

Answers

Given:

The function is:

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

To find:

The inverse of the given function, i.e., [tex]f^{-1}(x)[/tex].

Solution:

We have,

[tex]f(x)=\dfrac{2x}{3}-4[/tex]

Step 1: Substitute [tex]f(x)=y[/tex].

[tex]y=\dfrac{2x}{3}-4[/tex]

Step 2: Interchange x and y.

[tex]x=\dfrac{2y}{3}-4[/tex]

Step 3: Isolate y.

[tex]x+4=\dfrac{2y}{3}[/tex]

[tex]3(x+4)=2y[/tex]

[tex]\dfrac{3x+12}{2}=y[/tex]

[tex]\dfrac{3}{2}x+6=y[/tex]

Step 4: Substitute [tex]y=f^{-1}(x)[/tex].

[tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex]

Therefore, the inverse of the given function is [tex]f^{-1}(x)=\dfrac{3}{2}x+6[/tex].

Will mark brainliest

Answers

[tex] \frac{19}{6} \pi \times \frac{360}{75} = \frac{19}{6} \pi \times \frac{24}{5} = \frac{76}{5} \pi[/tex]

[tex] {x}^{2} \times \pi = \frac{76}{5} \pi[/tex]

[tex]x = \frac{2 \sqrt{95} }{5} = 3.9[/tex]

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