Solve the system using substitution or elimination and describe your steps. Be sure to verify your solution. • x = y - 3 2x + y = 12

Answers

Answer 1
x = y - 3
2x + y = 12

substitute x = y - 3  into 2x + y = 12
2x + y = 12
2(y - 3 )+ y = 12
2y - 6 + y = 12
3y - 6 = 12
3y = 18
 y = 6

substitute y = 6 into x = y - 3 to find x
x = y - 3
x = 6 - 3
x = 3

answer
x = 3 and y = 6

Related Questions

∠ACE is formed by two secants intersecting outside of a circle. If minor arc BD = 28°, minor arc AB = 112°, and minor arc DE = 112°, what is the measure of ∠ACE? A) 14° B) 28° C) 40° D) 54°

Answers

D) 54 degrees:

BD+AB+DE+2ACE" on the circumference twice on the center"=360

28+112+112+2ACE=360

2ACE=108

∠ACE=54

Answer:

its 40 degrees

Step-by-step explanation:

rata ta taaa

The scale of a map is 0.5 inch : 20 miles. on the map, the distance between two cities is 1.5 inches. what is that actual distance between the two cities? select one:
a. 30 miles
b. 150 miles
c. 60 miles
d. 110 miles

Answers

i think it is b 150m

50 Points and will mark Brainiest.

Draw four different triangles with the following two side lengths (you decide the length of side c). Be sure to label the sides and their lengths.

Side a = 2 cm

Side b = 5 cm


















Look at the triangles you created. What do you notice about the different lengths of line c?

Write an inequality that shows the possible lengths for line c (the triangle inequality theorem will help you):

Answers

The different length of c is greater than the sum of the length of the other two sides (2+5 =7).

If the assumed length of c is less than 7, a triangle will not be formed.

Answer:

As we can observe from the drawing that with increasing length of side C the angle C also increases.

A bowl contains 24 marbles consisting of 6 white marbles, 8 blue marbles, 7 black marbles, 3 red marbles. What is the probability of drawing a red marble?
a. 6/24B.5/25C.1/8D.7/8

Answers

The answer is C I think.

Use the given graph to determine the limit, if it exists.
Find limit as x approaches two from the left of f of x. and limit as x approaches two from the right of f of x.

Answers

We can see from the graph, as the value of x approaches 2 from the left hand side i.e. the negative side, the value of the function approaches 4.

As the value of x approaches 2 from the positive side i.e. the right hand side, the value of function approaches -4

Since the Right hand limit and the Left hand limit as x approaches 2 are not the same, the limit does not exist at x = 2

If the ratio of the radii of two spheres is 8:9, what is the ratio of the volumes of the two speheres

Answers

let 
A------------> smaller sphere
B----------> larger sphere
radius of sphere A-------> rA
radius of sphere B----> rB

we know that
rA/rB=8/9
the scale factor is equal to 8/9
volume smaller sphere A=[scale factor]³*volume larger sphere B
volume smaller sphere A/volume larger sphere B=[scale factor]³
volume smaller sphere A/volume larger sphere B=[8/9]³----> 512/729

the answer is
512/729

Troy has a box of 600 tiny blocks. Each block is a cube with dimensions of 1 cm x 1cm x 1cm. The blocks are arranged in the box in rows and layers so that there are no gaps. Which could be the dimensions of the box?
a. 5 cm x 10 cm x 12 cm
b. 5 cm x 10 cm x 10 cm
c. 10 cm x 10 cm x 12 cm
d. 200 cm x 200 cm x 200 cm

Answers

you need help or not lol

The product of a number (n) and 12 is 64. Which equation shows this relationship

12+n=64

64n=12

12n=64

64-n=12

Answers

The equation that shows the relationship between the number (n) and 12 being multiplied to equal 64 is 12n = 64, the correct option is C.

In this equation, the variable n represents the number we are trying to find. The equation states that when we multiply 12 and n together, the result is 64.

To solve this equation and find the value of n, we divide both sides of the equation by 12:

(12n)/12 = 64/12

n = 64/12

Which can be further simplified to:

n = 16/3

Therefore, the equation that represents the relationship between the number (n) and 12 being multiplied to equal 64 is 12n = 64.

Learn more about equations here;

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Blue marbles, green marbles and red marbles are in a ratio of 5 to 7 to 8 in a box. if the total number of marbles is 240, how many green marbles are in the box?

Answers

The fraction of marbles in the box that is green = ⁷/₍₅₊₇₊₈₎
                                                                               
                                                                                =  ⁷/₂₀

If there are 240 marbles in the box, then the number of green marbles = (240 × ⁷/₂₀) = 84 marbles

∴ 84 of the marbles in the bag are green.
                          

Help with algebra 2 please!!!!!!!

Answers

On your graph, you're looking for the little tick between 0 and pi/2. It's at 1. This is your answer, the last option. 

SOLVE FOR X one question 20 points

Answers

We simply need to use the Pythagorean theorem:
a^2 + b^2 = c^2 (c^2 is the hypertenuse)
The equation will look like this:
14^2 + 14^2 = x^2
196 + 196 = x^2
x^2 = 392
So the answer is the square root of 392:
14[tex] \sqrt{2} [/tex]
If you want a decimal form:
14 * 1.414 = 19.796

Answer:

ANSWER IS

Step-by-step explanation:

Given that the two triangles shown are congruent, explain one way to verify that the corresponding angles of the two triangles are congruent.

A) reflect triangle 1 across the y-axis

B) reflect triangle 2 across the y-axis

C) rotate triangle 2 counter-clockwise 90° about the origin

D) reflect triangle 2 across the y axis and rotate 90° about the origin at

Answers

The two triangles shown are congruent because triangle 1 has been formed from triangle 2 by rotating triangle 2 through and angle of 90°. Thus the correct answer will be:

C) rotate triangle 2 counter-clockwise 90° about the origin 

Answer:

The correct option is C.

Step-by-step explanation:

From the given graph it is noticed that the vertices of triangle 1 are P'(-2,2), Q'(-4,4) and R'(-2,4). The vertices of triangle 2 are P(2,2), Q(4,4) and R(4,2).

If a figure rotated counter-clockwise 90° about the origin, then

[tex](x,y)\rightarrow (-y,x)[/tex]

If we rotate triangle 2 counter-clockwise 90° about the origin, then[

[tex]P(2,2)\rightarrow P'(-2,2)[/tex]

[tex]Q(4,4)\rightarrow Q'(-4,4)[/tex]

[tex]R(4,2)\rightarrow R'(-2,4)[/tex]

If we rotate triangle 2 counterclockwise, then we get the triangle 1.

Therefore the correct option is C.

What is the value of x?

a. 6
b. 6√3
c. 12
d. 12√3

Answers

The answer should be 6(square root of)3 because in a 30 60 90 triangle the small leg is equal to half the length of the hypotenuse and the long leg is equal to the small leg times the square root of 3

Factor this trinomial completely.

–6x2 + 26x + 20

A. –6x2 + 26x + 20
–2(3x2 – 13x – 10)
–2(3x + 2)(x – 5)
B. –6x2 + 26x + 20
–2(3x2 + 11x + 10)
–2(3x + 5)(x + 2)
C. –6x2 + 26x + 20
–2(3x2 – 13x – 10)
–2(3x – 10)(x + 1)
D. –6x2 + 26x + 20
–2(3x2 – 13x + 10)
–2(3x – 5)(x – 2)

Answers

I cannot see the options clearly so I will just do the work and the answer will be at the end.

6x² + 26x + 20
6x² + 6x + 20x + 20
6x(x + 1) + 20(x + 1)
(6x + 20)(x + 1)
2(3x + 10)(x + 1)

2(3x + 10)(x + 1) is your answer.

First, factor out -2 from the trinomial, and then factor the resulting quadratic expression by grouping. The correct factored form is -2(3x + 2)(x - 5).

To factor the trinomial “6x² + 26x + 20 completely, follow these steps:

First, factor out the greatest common factor, which is -2:

“6x² + 26x + 20 = –2(3x² – 13x – 10).Next, factor the quadratic expression inside the parentheses:

3x² – 13x – 10.
We need to find two numbers that multiply to (3 × -10 = -30) and add up to -13. Those numbers are -15 and 2.Rewrite the quadratic equation using these numbers:

3x² – 15x + 2x – 10.Now, factor by grouping:

3x(x – 5) + 2(x – 5) = (3x + 2)(x – 5).Combining everything, we get:

–2(3x + 2)(x – 5).

Therefore, the correct factored form is (Option A) “2(3x + 2)(x – 5).

Which of these is an example of continuous random variable

A. Number of flights leaving an airport
B. Distance of a javelin throw
C. Pieces of mail in your mailbox
D. Attendance at a sporting event

Answers

The correct answer would be Choice B. Distance of a javelin throw.

A continuous random variable is a variable that can be any number between the integers not just the integers themselves.

For example, the distance for a javelin throw could be 6.70819203 feet.
However, you would not say that you have 6.70819203 flights, pieces of mail or people at a sporting event.
Final answer:

The B. distance of a javelin throw is an example of a continuous random variable.

Explanation:

A continuous random variable is a variable that can take any value within a specified range, often associated with measurements and quantities. Unlike discrete variables, it can assume an infinite number of values, typically represented by intervals on the real number line.

Out of the given options, the distance of a javelin throw is an example of a continuous random variable. A continuous random variable is one that can take on any value within a given range. In the case of a javelin throw, the distance can be any real number value within a certain range, such as 0 to infinity. This is in contrast to the other options, which are discrete random variables that can only take on specific whole number values.

I NEED HELP CAN SOMEONE HELP ME GET THIS?? ILL GIVE POINTS!!

Answers

Oh OK 

this =  (a^24 b^-3)  /  ( a^15 b^-9) 

 = a^9 b^6   Answer

Answer:

[tex]a^{9}b^{6}[/tex]

Step-by-step explanation:

What is the best estimate of the mean price of all the sunglasses on the rack?

Answers

$17 is the answer to this problem
.
The mean of the sample is
  (12 +12 +14 +15 +18 +20 +20 +25)/8 = 136/8 = 17

The best estimate of the mean of the population is
  $17

Which correctly describes a cross section of the right rectangular prism if the base is a rectangle measuring 15 inches by 8 inches? Check all that apply.
-
A cross section parallel to the base is a rectangle measuring 15 inches by 8 inches.
A cross section parallel to the base is a rectangle measuring 15 inches by 6 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.
A cross section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 4 inches by 15 inches.
A cross section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

Answers

A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.

A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.


Answer:

A cross-section parallel to the base is a rectangle measuring 15 inches by 8 inches.

A cross-section perpendicular to the base through the midpoints of the 8-inch sides is a rectangle measuring 6 inches by 15 inches.

A cross-section not parallel to the base that passes through opposite 6-inch edges is a rectangle measuring 6 inches by greater than 15 inches.

the cross sections that are parallel and perpendicular will have the same measurements as the non-intersected sides. the last one will be a diagonal so the intersected edge is 6 and it creates a right triangle so it must be larger than 15 inches.

Step-by-step explanation:

A field goal post in football is 3.33 yards above the ground. If a football player kicks the ball at a 10 degree square angle in a straight line toward the goal post what is the distance away in yards where the ball barely goes over the goal post

Answers

  The distance is 19 yards or 18.9 yards:
because tan(10)=opposite/adjacent=3.33/x and x is distance
x=3.33/tan(10)=18.9 yd
If u multiply 3.33•10 your answer will be 33.3

Write the inverse function for the function, ƒ(x) = x + 4. Then, find the value of ƒ -1(4). Type your answers in the box.

ƒ -1(x) = _________ x ___________ ______

ƒ -1(4) = _____________

Answers

hope you'll understand the workings :)

Answer:  The required values are

[tex]f^{-1}(x)=x-4~~~~~~~~\textup{and}~~~~~~~~~f^{-1}(4)=0.[/tex]

Step-by-step explanation:  We are given the following function f(x) :

[tex]f(x)=x+4~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]

We are to find the values of [tex]f^{-1}(x)[/tex] and [tex]f^{-1}(4).[/tex]

Let us consider that

[tex]y=f(x)~~~~~~~~\Rightarrow x=f^{-1}(y).[/tex]

So, from equation (i), we get

[tex]f(x)=x+4\\\\\Rightarrow y=f^{-1}(y)+4\\\\\Rightarrow f^{-1}(y)=y-4\\\\\Rightarrow f^{-1}(x)=x-4.[/tex]

Substituting x = 4 in the above equation, we get

[tex]f^{-1}(4)=4-4=0\\\\\Rightarrow f^{-1}(4)=0.[/tex]

Thus, the required values are

[tex]f^{-1}(x)=x-4~~~~~~~~\textup{and}~~~~~~~~~f^{-1}(4)=0.[/tex]

i really need help. please help


Part A: Explain why the x-coordinates of the points where the graphs of the equations y = 4^−x and y = 8^(−x−1) intersect are the solutions of the equation 4^−x = 8^(−x−1). (4 points)



Part B: Make tables to find the solution to 4^−x = 8^(−x−1). Take the integer values of x between −3 and 3. (4 points)



Part C: How can you solve the equation 4^−x = 8^(−x−1) graphically? (2 points)

Answers

I'm pretty sure the answer to A would be this: the common point that satisfies both equations (where they intersect) can be shown AS 4^(-x) = 8^(-x-1). 

The answer to B is forming a table. This is quite easier than you think :D.

Start with x on one side (3) and go all the way down to -3 like this:

(x)    4^-x    8^-x-1
-3      64       (Do the same with this)
-2      16
-1       4
0        1
1       1/4
2     .0625 
3   .015625  

So basically you just fill in the x variable with every number between 3 and -3. After that, it's just a bit of math and you've done it!

C is a bit misguided. I think it would be quite simple to just use a graphing calculator, but you would have to actually input all the x and y values from the table. After that, you will have a graph.

I hope I helped! Good luck and good day!

amanda is shipping a package, which is in the shape of a cube. To determine the cost of shipping, she must determine the side length of the packages She knows that the volume of the package is V cubic inches
Which of the follow functions would best model this situation above?

Cube root
Polynomial
Piecewise
Absolute Value

Answers

By definition, the volume of a cube is given by:
 V = L ^ 3
 Where,
 L: length of the sides
 Clearing L we have:
 L = 3 ^ root (V)
 Answer:
 
A function that would best model this situation above is:
 
Cube root

A ball is thrown upward from the top of a building. The function below shows the height of the ball in relation to sea level, f(t), in feet, at different times, t, in seconds:f(t) = −16t2 + 48t + 100The average rate of change of f(t) from t = 3 seconds to t = 5 seconds is _____feet per second.

Answers

For this case we have the following function:
 f (t) = -16t2 + 48t + 100
 The average rate of change is:
 (f (t2) - f (t1)) / (t2 - t1)
 We have then:
 For t1 = 3:
 f (3) = -16 * (3) ^ 2 + 48 * (3) + 100
 f (3) = 100
 For t2 = 5:
 f (5) = -16 * (5) ^ 2 + 48 * (5) + 100
 f (5) = -60
 Substituting values:
 AVR = (-60 - 100) / (5 - 3)
 AVR = -80
 Answer:
 
The average rate of change of f (t) from t = 3 seconds to t = 5 seconds is -80 feet per second.

divide r+5/ r^2+5r-14 by r^2+4-21/r-2

Answers

So we want to divide [tex] \frac{r+5}{r^2+5r-14} [/tex] by [tex] \frac{r^2+4r-21}{r-2} [/tex].
The first thing we are going to do is factor the denominator of the first fraction and the denominator of the second one:
- For our first fraction:
[tex]r^2+5r-14=(r+7)(r-2)[/tex]
Now we can rewrite our first fraction: 
[tex]\frac{r+5}{r^2+5r-14} = \frac{r+5}{(r+7)(r-2)} [/tex]
- For our second fraction: 
[tex]r^2+4r-21=(r+7)(r-3)[/tex]
Now we can rewrite our second fraction:
[tex] \frac{r^2+4r-21}{r-2} = \frac{(r+7)(r-3)}{r-2} [/tex]

Last but not least, we can express our division as a fraction and simplify: 
[tex] \frac{\frac{r+5}{(r+7)(r-2)}}{ \frac{(r+7)(r-3)}{r-2}} = \frac{(r+5)(r-2)}{(r+7)(r-2)(r+7)(r-3)} = \frac{r+5}{(r+7)^2(r-3)} [/tex]

We can conclude that the result of dividing r+5/ r^2+5r-14 by r^2+4r-21/r-2 is: [tex] \frac{r+5}{(r+7)^2(r-3)} [/tex]

On a scatter plot what does it mean when both variables are increasing

Answers

both are getting bigger or increasing you need to rephrase the question 
it means that we have a linear relationship

Given y = 4x + 3, what effect does changing the equation to y = 2x + 3 have on the slope? 

Answers

the answer is C
Hope this helps!
can I get a brainleist pls!
Final answer:

Changing the slope of the equation from 4 to 2 reduces the steepness of the line in the graph, with the y-intercept remaining constant at 3.

Explanation:

The student asked about the effect on the slope of the linear equation when changing from y = 4x + 3 to y = 2x + 3. The slope of the first equation is 4, which can be seen from the coefficient of x, indicating a rise of 4 on the vertical axis for every increase of 1 on the horizontal axis. When the equation changes to y = 2x + 3, the slope is reduced to 2, which means there is a rise of 2 on the vertical axis for every increase of 1 on the horizontal axis. This change in the slope would cause the line to rotate clockwise when graphed on a coordinate plane. The y-intercept remains the same at 3 since it is unchanged in both equations. Therefore, changing the equation has the effect of decreasing the steepness of the line, but the location where the line crosses the y-axis does not change.

On a​ map, 1 inch equals 9.2 miles. two houses are 3.5 inches apart on the map. what is the actual distance between the​ houses? use pencil and paper. show how you can represent the scale with two different ratios. what ratio is more helpful for solving the​ problem? explain.

Answers

The actual distance between the houses is 18.9 miles.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Multiplication is the mathematical operation that is used to determine the product of two or more numbers.

Given that On a​ map, 1 inch equals 9.2 miles. Two houses are 3.5 inches apart on the map.

To find the actual distance between the​ houses.

Given that,

1 inch = 9.2 miles

Therefore,

∴ we get

3.5 inches = 3.5 × 9.2 miles

                = 13.8 miles

The actual distance is 13.8 miles.

Learn more about the unitary method, please visit the link given below;

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Final answer:

To find the actual distance between the houses, we can set up a proportion using the given map scale. The actual distance between the houses is 32.2 miles. Using the ratio 1 inch/9.2 miles = 3.5 inches/x is more helpful in solving the problem.

Explanation:

To find the actual distance between the houses, we need to use the scale of 1 inch equals 9.2 miles. We are given that the two houses are 3.5 inches apart on the map.

First, we can set up a proportion to find the actual distance:

1 inch / 9.2 miles = 3.5 inches / x

Cross-multiplying, we have:

1x = 3.5 * 9.2 miles

Simplifying, we get:

x = 32.2 miles

The actual distance between the houses is 32.2 miles.

To represent the scale with two different ratios, we can use the proportion:

1 inch / 9.2 miles = 3.5 inches / x

This ratio is more helpful for solving the problem as it allows us to directly calculate the actual distance using the given map distance and the scale ratio.

solve for A
R=x(A+B)

Answers

Use the distributive property
                                R=Ax+Bx
                               Ax=R - Bx
                                A =(R - Bx)/x
The answer is A =(R - Bx)/x
Final answer:

To solve the equation R=x(A+B) for A, divide both sides by x to get R/x = A+B. Then, subtract B from both sides to isolate A. The final equation is A = R/x - B.

Explanation:

The goal is to solve for A in the equation R=x(A+B). It's a simple problem of algebraic manipulation. Here's how to do it step by step:

First, divide both sides of the equation by x to isolate the term (A+B). This gives R/x = A+B.Next, subtract B from both sides of the newly formed equation to isolate A on one side. This gives us A = R/x - B.

And there you have it! The value of A in terms of R, x, and B is A = R/x - B.

Learn more about Algebra here:

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The population of a city is 578,992. The land area of the city is 67.2 mi². What is the population density of the city? Enter your answer in the box. Round your answer to the nearest whole number.

Answers

we know that
Population Density = Number of People / Land Area.

then
Number of People=578,992
Land Area=67.2 mi²
so
Population Density =578,992/67.2-----> 8615.95 people/mi²

the answer is
8616 people/mi²

Just took the K12 test and the correct answer is 8616 people/mi²

(please give the other person brainliest-thanks!!!)

A. 3
B. 26
C. 36
D. 51

Answers

Hello!

The arcs in both angles A and D mean they are equal to each other

5y + 11 = 12y - 10

Now you solve it algebraically

Add 10 to both sides

5y + 21 = 12y

Subtract 5y from both sides

21 = 7y

Divide both sides by 7

3 = y

Put this into the equation for angle A
angle A = 5(3) + 11

Multiply

angle A = 15 + 11

Add

angle A = 26

The answer is 26°

Hope this helps!
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