In the below system, solve for y in the first equation.

x – 3y = –6
2x – 7y = 10

one thirdx + 2

negative one thirdx + 6

–x + 2

negative one thirdx + 2

Answers

Answer 1
First, leave y on the left and brig x on the right:
-3y = - x - 6

Then change all the signs:
3y = x + 6

Then divide by 3:

y = (x+6)/3

which can be written as:
y = +1/3 x + 2

The correct answer is A).


Answer 2
the answer is y=1/3x+2

Related Questions

The ____ is the vertical number line on the coordinate grid

Answers

Hi there!

The y axis is the vertical number line on the coodinate grid.

Hope this helps!

Paul has a tack stuck in his four-wheeler tire. If the tire has a diameter of 36 inches, how far does the tack travel in 62° of rotation?

A. 31π

B. 18π

C. 31 pi over 5

D. 31 pi over 90,

Answers

C. 31 pi over 5

~sbcardinals :)

hello there

your answer would be

C, 31 pi over 5

hope it helps

thank you

best regards Queen Z

geometry easyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyyy

Answers

Your answer choices are appropriate, even if the questions are not.*

The 1st selection in the 4th panel is appropriate.

___
* The figure is not necessarily a trapezoid if the diagonals do not bisect each other. It can be any quadrilateral with at least one pair of non-parallel opposite sides, a kite, for example.

simplify 6/x-6+3x/x+5-1/(x-6)(x+5)

Answers

Final answer:

To simplify a complex algebraic expression, you handle fractions first by bringing them to a common denominator. However, the resources provided seem misplaced as they pertain to calculus rules and Chemistry, which are not relevant to this algebra question.

Explanation:

The student's question is asking to simplify a complex algebraic expression: 6/x-6+3x/x+5-1/(x-6)(x+5). To simplify such an expression, it's best to deal with fractions first. Note that the given expression can also be expressed as three separate fractions summed together, i.e., (6/x-6) + (3x/x+5) - [1/(x-6)(x+5)]. Dealing with fractions in simplification, we combine them to a common denominator and rationalize the numerator and denominator. After that, simplify the resulting expression. However, with provided reference, it seems that there is a misunderstanding or a misplacement of information because resources given are about calculus rules and Chemistry which are not relevant in simplifying this algebraic expression.

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Each test grade in Sara's science class counts for 1/6 of the final grade. The final exam counts for 1/2. Sara's test scores are 72, 84, and 90. Her final exam score is 90.

What is Sara's final grade for the class?
A) 83
B) 86
C) 87
D) 89,

Answers

Multiply each test by its respective weight and add the results. 72*(1/6) = 12 84*(1/6) = 14 90*(1/6) = 15 90*(1/2) = 45. 12+14+15+45= 86, so answer B is correct.

Can anyone help me!?!?!?!?! Here is my question:
Compare the functions shown below:
f(x) = 4 sin (2x − π) - 1
g(x)

x y
-1 6
0 1
1 -2
2 -3
3 -2
4 1
5 6
h(x) = (x − 2)2 + 4

Which function has the smallest minimum y-value?,

Answers

The sine function has a minimum value of -1, so f(x) = 4sin( ) -1 will have a minimum value of -5.

g(x) obviously has a minimum value of -3.

h(x) has a squared term that cannot be negative, so its minimum value is +4.


f(x) has the smallest minimum value.

Consider the function y = 1.05(x/12), which represents the growth of capital in a bank account.

The annual interest is __%,
a. 12
b. 105
c. 1.05
d. 5
and the bank compounds the interest__ .
a. annually
b. continuously
c. daily
d. monthly

The balance of the account will grow __ .
a. logarithmically
b. exponentially
c. asymptotically
d. linearly

Answers

1) is A
2) is D
3)is D

Answer:

The annual interest is,

Option d is correct

5%

The bank compounds the interest_

Option a is correct.

Annually.

The balance of the account will grow,

Option b is correct

exponentially

Step-by-step explanation:

Exponential growth function is given by:

[tex]y=(1+r)^x[/tex]            .....[1]

where,

r is the annual interest in decimal

x is the number of periods.

As per the statement:

Consider the function:

[tex]y=(1.05)^{\frac{x}{12}}[/tex] where, x represents the time in months.

On comparing with [1] we have;

[tex]1+r = 1.05[/tex]

Subtract 1 from both sides we have;

r = 0.05 = 5%

The annual interest is, 5%

and

the bank compounds the interest annually.

The balance of the account will grow exponentially

What number belongs in the blank space in the formula??

Answers

A.6 
The formula is An=An-1+d

-7x^6*(-2x^8) will mark as brainiest


SIMPLIFY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
DO NOT SOLVE FOR X

Answers

simplified to 14x^14

Can someone plz explain Pythagoras theorem to me

Answers

in EVERY right-angled triangle the square on the hypotenuse = the sum of the squares on the other 2 sides.  The hypotenuse is the longest side ( opposite the right angle). 

So if the length of the hypotenuse = c units and the lengths of the 2 legs are a and b units The theorem says

c^2 = a^2 + b^2. 
Hi! :)

I assume you meant to say the Pythagorean Theorem. The Pythagorean Theorem is [tex] a^{2} + b^{2} = c^{2} [/tex] and it is used to find the length of a side of a triangle.

Hope this helps! 

Which of the functions below is the inverse of the logarithm function?

Linear function
Exponential function
Rational function
Radical function

Answers

exponential function because log deals with finding the exponent so the inverse is an exponential function

Answer:

Option 2 - Exponential function

Step-by-step explanation:

To find : Which of the functions below is the inverse of the logarithm function?

Solution :

The inverse of a logarithmic function is an exponential function.    

As by property of logarithmic,

[tex]y=\log_b(x)\\\Rightarrow x=y^b[/tex]

For example -

Taking log function,

[tex]y=\log_2 x[/tex]

Applying property it convert into exponential function,

[tex]x=2^y[/tex]

The graphs of the logarithmic function and the exponential function are mirror images of one another.

Therefore, Option 2 is correct.

(50 PTS) NEED HELP FAST ILL MARK BRAINLIEST AND RATE 5 STARS AND SAY THANK YOU

A tournament organizer recorded the number of people in different age groups who participated in the archery tournament. He then created the following histogram:Which of the following statements best compares the height of the bars of the histogram?

A.) There are more participants in the 20–39 age group than in the 0–19 and 60–79 groups combined.

B.) There are more participants in the 20–39 age group than in the 40–59 and 0–19 groups combined.

C.) There are twice as many participants in the 40–59 age group than in the 60–79 age group.

D.) There are twice as many participants in the 0–19 age group than in the 60–79 age group.

Answers

Where is the histogram?

Answer:

d

blessed have one



Can someone graph it for me and answer a or b???

Answers

First differences are all 7.3. You don't need a graph to know that is a linear function.

Please help!! Show your work !!

Answers

Use Pythagorean theorem:
34^2+41^2=X^2
1156+1681=x^2
2837=X^2
√2837=x
x=53.26 that are the distance from A to B
Add 34+ 41= 75
Subtract to find distance saved----------- 75-53.26= ANSWER: 21. 74 meters





Which pair of times has the longest elapsed time between the two times?
3:05 to 9:40
8:35 a.m. to 2:35 p.m.
4:25 to 10:45
7:10 p.m. to 1:40 a.m.

What is the elapsed time between 9:30 p.m. and 2:15 a.m.?

7 hours and 45 minutes
5 hours and 15 minutes
4 hours and 45 minutes
4 hours and 15 minutes

Subtract 1 hour, 50 minutes from 4 hours, 10 minutes.

2 hours, 20 minutes
2 hours, 40 minutes
3 hours, 40 minutes
3 hours, 30 minutes

Answers

a) 9:40 -3:05 = 6:35 . . . . . the longest time interval
.. 14:35 -8:35 = 6:00
.. 10:45 -4:25 = 6:20
.. 13:40 -7:20 = 6:30


b) 14:15 -9:30 = 5:(-15) = 4:45 (3rd selection)

c) 4:10 -1:50 = 3:(-40) = 2:20 (1st selection)

Using the given equation find the missing coordinates of the points and then find the slope of the line for each equation y=3.5x+4; a(...; 5), b(10; ...)

Answers

A(2/7:5)

B(10:39)

The slope is 7/2.

The slope of the line y=3.5x+4 is 3.5, and the missing coordinates will be filled as a(0.28, 5) and b(10, 9)

What is Slope of Line?

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

The given equation of line is y=3.5x+4

When we compare this with slope intercept form y=mx+b.

slope m=3.5

We need to find the value of x when y is 5

5=3.5x+4

1=3.5x

Divide both sides by 3.5

x=0.28

So a coordinates are (0.28, 5)

Now let us find y value when x is 10

y=3.5(10)+4

y=39

So b coordinates are (0.28, 39)

Hence, the slope of the line y=3.5x+4 is 3.5, and the missing coordinates will be filled as a(0.28, 5) and b(10, 9)

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50 POINTS!!!!! HELPFor the exponential function f(x)=a^x,a>0,a≠1 what is the domain? what is the range?

Answers

I have included a graph to help you see what the domain and range would be
There are no minus y values. 
0<y< infinity y is included in the reals.
The domain is 
- infinity < x < infinity.

I don't want to say that either x or y can equal - or + infinity. Some teachers allow it. You have to ask your instructor what they will accept.

The blue line is y = 4^x
The red line is y = 2^x  

Part 1.] Identify the transformations that describe the graph of an odd function. Select all that apply.

reflection over the x-axis;
reflection over the y-axis;
reflection over the line y = x;
90° rotation around the origin;
180° rotation around the origin

Part 2.] Prove that if f(x) and g(x) are both even functions, then h(x) = f(x) + g(x) is an even function.

Answers

Hello,

1) A odd function has the propriety f(-x)=-f(x)
Answer E

2)
if f(x) is even f(x)=f(-x)
if g(x) is even g(x)=g(-x)

h(x)=f(x)+g(x)=(f+g)(x)
h(-x)=(f+g)(-x)=f(-x)+g(-x)=f(x)+g(x)=(f+g)(x)=h(x)

h(x) is even

If 5x-4=26 what does the x equal

Answers

x would be 6 because 5x is 5 x 6 - 4
5x - 4 = 26

------------------------------------------------
Add 4 to both sides:
------------------------------------------------
5x - 4 + 4 = 26 + 4
5x = 30 

------------------------------------------------
Divide by 5 on both sides:
------------------------------------------------
5x ÷ 5 = 30 ÷ 5
x = 6

------------------------------------------------
Answer: x = 6
------------------------------------------------

Tom caught 4 fish and his son caught 12 fish.

The number of fish that Tom caught was what percent of the number of fish that his son caught?

Answers

Hi there!

To solve this problem, we need to divide 4 by 12.

4 ÷ 12 = 1/3
1/3 = 33.33%

Hope this helps!

An urn contains six red balls, five black balls, and four green balls. If two balls are selected at random without replacement from the urn, what is the probability that a red ball and a black ball will be selected. Please explain how to do it

Answers

First compute all the possibilities:
[tex]15\times14=210[/tex]
The favorable cases, number of possibilities:
[tex]6\times5=30[/tex]
Now we get the probability by dividing the above two numbers:
[tex] \frac{30}{210}=0.14 [/tex]
The probability that a red ball and a black ball is selected is 0.14.

If A(0, 0), B(3, 3), C(9, 3), and D(6, 0) are the vertices of a quadrilateral, do the points form a parallelogram? Justify your answer.

A. Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals 1, and AB = DC = square root of 18.

B. Yes, it is a parallelogram because the slope of segment AB equals the slope of segment DC, which equals −1, and AD = CD = 3 units.

C. Yes, it is a parallelogram because the midpoint of the diagonals of segment AC and segment BD is (4.4, 1.5).

D. No, it is not a parallelogram because the slope of segment AB = 1 and the slope of segment DC = −1.

Answers

here's the picture of the quadrilateral
it's a parallelogram but I'm not completely sure about the answer
I think that C is the correct answer
the picture can help you to find the answer.
hope this helps

which statement can be proved if you are given that SK≌LR?

Answers

Answer:

C

Step-by-step explanation:

The correct answer is  C.[tex]$\overline{SL}\cong\overline{KR}$[/tex]

Given that [tex]$\overline{SK}\cong\overline{LR}$[/tex] , we can see that triangle SKL is congruent to triangle LRP by the Side-Side-Side (SSS) congruence postulate. This means that all corresponding sides and angles of the two triangles are congruent.

Since [tex]$\overline{SK}\cong\overline{LR}$[/tex]is given, we know that [tex]$\overline{SL}\cong\overline{KR}$[/tex] must also be true.  The other answer choices do not necessarily follow from the given information.

The complete question is: Which statement can be proved if you are given that SK≌LR?

Choose the situation that represents a function. The number of raisins in an oatmeal raisin cookie is a function of the diameter of the cookie. The inches of rainfall is a function of the day’s average temperature. The time it takes to cook a turkey is a function of the turkey’s weight. The number of sit-ups a student can do in a minute is a function of the student’s age.

Answers

Answer: The time is takes to cook a turkey is a function of the turkey's weight.

In a function, there is an input and there is an output. The idea of a function is that each individual input is changed into an output.

The time it takes to cook a turkey depends on the size of the turkey.
Smaller turkeys would take less time to cook and larger turkeys would take longer to cook.

So if you start with the turkeys weight, you could determine how long it would need to cook. This is an example of a function.

The time it takes to cook a turkey is a function of the turkey’s weight. Then the correct option is C.

What is a function?

A statement, principle, or policy that creates the link between two variables is known as a function. Functions are found all across mathematics and are required for the creation of complex relationships.

Choose the situation that represents a function.

An intake and an outlet are both present in a function. Each unique supply is converted into a result as per the concept of a function.

The amount of the turkey determines how long it will take to cook.

Oversized turkeys will take longer to prepare than smaller turkeys, and vice versa.

The time it takes to cook a turkey is a function of the turkey’s weight.

Then the correct option is C.

More about the function link is given below.

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Kevin goes fishing every Saturday. The table below shows the number of fish he caught each week for the last six weeks.

Fish Caught

Week Number of Fish
1 4
2 0
3 2
4 8
5 4
6 6

What is the mean absolute deviation of the data above?
A. 8
B. 2
C. 4
D. 1

Answers

I believe the answer is C

Evaluate the function below for x = 2 F(x) = 4x3 - x2 - 5x + 7

Answers

The answer to this question is 25.

Answer:

The value of the given function is 25 for x = 2.

Step-by-step explanation:

Given function is,

[tex]F(x) = 4x^3 - x^2 - 5x + 7[/tex]

At x = 2,

The value of the function is,

[tex]f(2)=4(2)^3-(2)^2-5(2)+7[/tex]

[tex]=4(8)-4-10+7[/tex]

[tex]=32 - 7[/tex]

[tex]=25[/tex]

Hence, the value of the given function is 25 for x = 2.

What are the zeros of f(x) = 4x^2 - 12x + 8 (I need a clear explanation on how to solve it)

Answers

The zero of the quadratic function is therefore x = 1. Since both factors give the same zero, we have a repeated zero and f(x) only touches the x-axis at one point, x = 1.

The zeros of the quadratic function f(x) = 4x^2 - 12x + 8 are the values of x that make f(x) = 0. In this function, we can factor by finding two numbers that multiply to give the constant term (8 times 4, the coefficient of x^2) and add to give the coefficient of x (-12). Here, those numbers are -4 and -4, so we rewrite the middle term -12x as -4x - 4x, and factor by grouping:

4x^2 - 4x - 4x + 8 = 0

4x(x - 1) - 4(x - 1) = 0

(4x - 4)(x - 1) = 0

Now we have two factors equal to zero, which gives us two equations to solve:

4x - 4 = 0 or x - 1 = 0

x = 1

I need help with this

Answers

16: 10(-9) +4 = -90 +4 = -86

17. 7^2 - 7 = 49-7 = 42

18. -9^2 - -9 = 81+9 = 90

19. 10(5) +4 = 54, 3*54 = 162

20. 3*5 = 15, 10(15) +4 = 154

What is the simplified form of the quantity of x plus 5, all over the quantity of 9 − the quantity of x plus 4, all over the quantity of x plus 6?

Answers

[tex]\bf \cfrac{x+5}{9}-\cfrac{x+4}{x+6}\impliedby \textit{our LCD is clearly 9(x+6)} \\\\\\ \cfrac{\underline{(x+6)}(x+5)~~-~~\underline{(9)}(x+4)}{9(x+6)} \implies \cfrac{\stackrel{FOIL}{x^2+11x+30}~~-~~[9x+36]}{9(x+6)} \\\\\\ \cfrac{x^2+11x+30~~-~~9x-36}{9(x+6)}\implies \cfrac{x^2+2x-6}{9(x+6)}[/tex]

Answer:

The answer above is the correct answer

What is the value of x?

Answers

x/10 = 10/4x
4x^2  = 100
  x^2 = 25
     x = 5

answer
5 units
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