Solve the system using substitution.
y=-x-2,3x+3y=6

Answers

Answer 1

Step-by-step explanation:

x = -2-y

3(-2-y) +3y =6

-6-3y +3y=6

у=0

O=-x-2

х=-2


Related Questions

part 3 to the please help question sorry im asking so many questions

Answers

Answer:

the answer would be 6,600ft

Step-by-step explanation:

I hope this helps!!

Solve the following system of equations by substitution. Show all steps.
f (x) = -x^{2} + 2x +3
g (x) = -2x + 3

Answers

Answer:

Given system of equations:

[tex]\begin{cases}f(x)=-x^2+2x+3\\g(x)=-2x+3\end{cases}[/tex]

To solve by substitution, equate the equations and solve for x:

[tex]\begin{aligned}f(x) & = g(x)\\\implies -x^2+2x+3 & = -2x+3\\-x^2+4x & = 0\\x^2-4x & = 0\\x(x-4) & = 0\\\implies x & = 0\\\implies x-4 & = 0 \implies x=4\end{aligned}[/tex]

Therefore, the x-values of the solution are [tex]x = 0[/tex] and [tex]x = 4[/tex].

To find the y-values of the solution, substitute the found values of x into the functions:

[tex]f(0)=-(0)^2+2(0)+3=3[/tex]

[tex]g(0)=-2(0)+3=3[/tex]

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

[tex]g(4)=-2(4)+3=-5[/tex]

Therefore, the solutions to the given system of equations are:

[tex](0, 3)[/tex] and [tex](4, -5)[/tex]

Latoya created a factor tree and wrote the prime factorization of 90 shown below.

Answers

Answer:

it’s b

Step-by-step explanation:

the answer is 2x3x3x5, but it’s the same thing when you put an exponent of two on a 3.

Hope it helps

Sry if I’m wrong

She should have included an exponent of 2 on the 3

Use completing the square to rewrite the function in vertex form. f(x)=x2+6x−5

Answers

Answer:

f(x) = (x + 3)² - 14

Step-by-step explanation:

f(x) = x² + 6x - 5

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

f(x) = x² + 2(3)x + 9 - 9 - 5

     = (x + 3)² - 14 ← in vertex form

The function in vertex form is f : x → (x + 3)² - 14.

To convert the equation.

f : x → x² + 6x - 5 into the vertex form, you will need to complete the square.

First, you will need to add and subtract the square of half of the coefficient of the x term, which is (6/2)² = 9.

This will give you the equation.

f : x → x² + 6x - 5 + 9- 9

Next, you will need to factor the left side of the equation,

f : x → (x² + 6x + 9) - 5 - 9

Now, you can see that the left side of the equation is the square of

(x + 3)² so you can rewrite it as:

f : x → -(x + 3 )² - 5 - 9

Finally, you can simplify the right side of the equation to get:

f : x → (x + 3)² - (5 + 9)

f : x → (x + 3)² - 14.

Therefore, the vertex form is f : x → (x + 3)² - 14.

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Which shows the equation of the line containing the point (4, 6) and having a slope of 4 in slope-intercept form?

4y=x−28

y=4x−10

y=−4x+10

y=−52x+4

Answers

Answer:

y=4x-10

Step-by-step explanation:

See attached image

Which relation is a function? PLEASE HELP

Answers

Answer:

A

Step-by-step explanation:

for the relation to be a function then each value of x in the domain must map to exactly one unique value of y in the range

this is the case for A

in B : 3 → 2 and 3 → 8 ← not a function

in C : - 2 → 5 and - 2 → 7 ← not a function

in D : 2 → 2 and 2 → 3 and 3 → 3 and 3 → 2 ← not a function

Answer is A I did this

Tran is solving the quadratic equation 2x2 – 4x – 3 = 0 by completing the square. His first four steps are shown in the table.

A table listing the first few steps in deriving the quadratic formula
In which step did Tran first make an error?

Answers

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Solving the polynomial using completing the square:

2x² - 4x - 3 = 0

First divide through by 2:

x² - 2x - 3/2 = 0

add 3/2 to both sides:

x² - 2x - 3/2 + 3/2 = 0 + 3/2

x² - 2x = 3/2

add the square of half the coefficient x to both sides:

x² - 2x + 1 = 3/2 + 1

(x - 1)² = 2.5

taking square root:

x - 1 = ±√2.5

x = 1 ± √2.5

The solution to the quadratic equation 2x² - 4x - 3 = 0 is x = 1 ± √2.5

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Answer: Step 3

Step-by-step explanation: this is the right answer on the edge, hope this helps!


Expand.
Your answer should be a polynomial in standard form. WILL GIVE BRAINLIEST AND BIG POINTS

Answers

Answer:

-q^2-q+72

Step-by-step explanation:

We can use the FOIL (First Outer Inner Last) method for this. First, multiply 9*8 (72). Then, multiply 9*-q(-9q). After that, multiply q*8 (8q). Finally, multiply q*-q(-q^2). Arrange the different terms:

-q^2-9q+8q+72

Finally, combine like terms:

-q^2-q+72

Hope this helps!

In the given figure if AOB = 132°, COD = 141°, if measure of BOD equals x°, then x is

Answers

Answer:

BOD = 189 °

Step-by-step explanation:

that is the answer above

A circle representing a pool is graphed with a center at
the origin. Grant enters the pool at point A and swims
over to a friend who is located at point B.
-10-
6-
4
2-
A
2 4 6 8 10 x
B
-106422-
№t
4-
-6-
-10-
Which equation represents Grant's path?
O y = 2-4x
Oy=4-
O y = 6-
Oy=8-2x

Answers

The equation that represents Grant's path is; y = 4 - ¹/₂x

How to find the equation of a graph?

We are given;

Point A: (8,0),

Point B: (-4,6)

Thus, the slope is;

m = (6 - 0)/(-4 -8)

m = -¹/₂

Thus;

Equation of Grant's path is;

y = -¹/₂(x - 8)

y = 4 - ¹/₂x

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You have a list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f). you need to use these letters to form four-letter words in such a manner that they should contain exactly 2 vowels from the given 3 and exactly 2 consonants from the given 4. how many such four-letter words can you form using the seven given letters?

Answers

There are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

We have:

A list of 7 letters, of which 3 are vowels (a, i, e) and 4 are consonants (b, c, d, f).

a, i, e - 2 vowels can be selected in 3C2 ways.

b, c, d, f - 2 consonants can be selected 4C2 ways.

We can arrange 4 alphabets in 4! ways.

Total ways = C(3, 2)×C(4, 2)×4!

= 3×6×24

= 432

Thus, there are 432 four-letter words you can form using the seven given letters if you have a list of 7 letters.

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Solve for h: h+4/-2=0.3 ([tex]h+\frac{4}{-2} =0.3[/tex])

Give Explanation please.

Answers

Answer: [tex]h=\frac{23}{10} =2.300[/tex]

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

[tex]h+\frac{4}{-2} -((\frac{3}{10} ))=0[/tex]

[tex]Simplify~ \frac{3}{10}[/tex]

[tex](h+\frac{4}{-2} )-\frac{3}{10} =0[/tex]

Subtracting a fraction from a whole

Rewrite the whole as a fraction using  10  as the denominator :

[tex]h-2=\frac{h-2}{1} =\frac{h-2x10}{10}[/tex]

Equivalent fraction: The fraction thus generated looks different but has the same value as the whole

Common denominator: The equivalent fraction and the other fraction involved in the calculation share the same denominator

  Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to the lowest terms if possible:

[tex]\frac{(h-2)x10-(3)}{10} =\frac{10h-23}{10}[/tex]

[tex]\frac{10h-23}{10} =0[/tex]

When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, CalderonJ multiplys both sides of the equation by the denominator.

Here's how:

[tex]\frac{10h-23}{10} *10=0*10[/tex]

Now, on the left hand side, the  10  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  10h-23  = 0

Add  23  to both sides of the equation :

                     10h = 23

Divide both sides of the equation by 10:

                    h = 23/10 = 2.300

Final Answer: 2.3(decimal form) aka 23/10 (fraction)

Simplify each expression -21v6/-6v8

Answers

Answer: The answer to this is [tex]\frac{7\sqrt{3} }{4}[/tex].

I looked it up on my scientific calculator. I hope this helps!! :)

Answer:

7/2v^2

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

3 substracted from 9 times 2 and 5 is added​

Answers

Answer:

20

Step-by-step explanation:

It is because 9x2=18

3 subtracted from 18 is 15

15+5=20

please mark brainliest

3. Eden has completed 7⅝ laps of a 10 lap race How many more laps does she still need to run?​

Answers

eden must run 2 3/8 laps to complete the race.

How to calculate the laps that Eden is missing?

To calculate the laps that Eden is missing, we must perform the following operation:

We must take into account that he has already completed 7 laps and a segment of the eighth lap that is equivalent to 5/8, that is to say that he has 3/8 to complete the eighth lap.

On the other hand, once he completes the eighth lap, he will have 2 full laps left to finish the race. Due to the above, it can be stated that it is missing 2 3/8 laps.

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A map of a public park shows a circular pond. There is a bridge along a diameter of the pond that is 0.25 mi long. You walk across the bridge, while your friend walks halfway around the pond to meet you at the other side of the bridge. How much farther does your friend walk? Round your answer to the nearest hundredth. Use 3.14 for π.


Your friend walks about
miles farther than you.

Answers

The distance further the friend walked is 0.41 miles.

How much farther did the friend walk?

The distance the friend walked can be determined by calculating the circumference of a semicircle.

Circumference of a semicircle = πr + 2r

r = 0.25 / 2 = 0.125mi

3.14 x 0.125 + 0.25 = 0.66 mi

Difference in the distance = 0.66 - 0.25 = 0.41 miles

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9.) List three things vertical and horizontal lines have in common.

Answers

Answer:

Horizontal lines have a slope of zero, and run parallel to the x axis. Vertical lines have a undefined slope, and run parallel to the y axis. The equation for a horizontal line equals y=c, and the equation for a vertical line equals x=c. If a horizontal line crosses a vertical line the two lines would be perpendicular to one another.

Step-by-step explanation:

Use this:

What is a Horizontal Line?

A Horizontal Line is a line that goes straight from left to right (or right to left)  parallel to the x-axis of the coordinate plane. All of the points on the line will have the same y-coordinates.

What is a Vertical Line?

A Vertical Line is a line that goes straight up and down Parallel to the y-axis of the coordinate plane. All of the points on the line will have the same x-coordinates.

Commonality:
Any vertical line is defined as perpendicular to any horizontal line.

If 6:2=8:x, then

a. 6x = 16
b. 6x = 10
c. 2x = 48
d. 2x = 14

Answers

Answer:

6x = 16

Step-by-step explanation:

Given:

[tex]\displaystyle \large{6:2 = 8:x}[/tex]

The equation can be rewritten as:

[tex]\displaystyle \large{\dfrac{6}{2}=\dfrac{8}{x}}[/tex]

Multiply both sides by 2x.

[tex]\displaystyle \large{\dfrac{6}{2}\cdot 2x=\dfrac{8}{x}\cdot 2x}[/tex]

Simplify the equation in simplest form.

[tex]\displaystyle \large{6x=8\cdot 2}\\\\\displaystyle \large{6x=16}[/tex]

Therefore, the answer to this question is 6x = 16.

Please let me know if you have any questions regarding my answer or explanation!

Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.

Answers

Question:

Bobby has a party while his parents are away for the weekend. Bobby estimated that if his 9 friends hep him to clean the house, they will finish in time if they start 8 hours before his parents return. But after only two hours of cleaning, Bobby's parents call and say they are just two hours from home. How many more friends does Bobby need to call to help finish cleaning in time.

Answer:

Bobby need 20 friends.

Step-by-step explanation:

8 x (9 + 1) = 8/o = 80 hours

Suppose Bobby needed to call x friends.

10 x 2 + 2 (10 + x) = 80

20 + 20 +2x = 80

2x = 40

x = 20

Therefore, Bobby needs to call 20 friends to get the cleaning done in time.

How to convert no. Ito persentage

Answers

To turn a number (either an integer or a decimal) into a percent, simply multiply by 100. That is the same as moving the decimal point two places to the right. You may need to round to the desired precision. Add a percent (%) sign.

What is percentage? :A percentage is a way of expressing one number as a portion or share of a whole number, and percentages are always based on their relation to 100, which represents the whole number or object.For example, 75% is the same as 75 out of 100. Any percentage lower than 100 is just part of the whole or total.Definition of a number : A number is an arithmetic value used for representing the quantity and used in making calculations.What is Maths? : MATH stands for "Mathematics" in its entire form. Mathematics is a branch of science that studies the logic of form, quantity, and arrangement.

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Which statement below best describes whether or not the triangles are similar and
why?
A. ∆XXXXXX ~ ∆TTTTTT by AA similarity.
B. ∆XXXXXX ~ ∆TTTTTT by ASA similarity.
C. ∆XXXXXX ~ ∆TTTTTT by SSS similarity.
D. There is not enough information to determine similarity.

Answers

The answer is c I’m 90% sure

The tables show linear functions representing the cost for purchasing different amounts of broccoli and cauliflower. which function has the greater slope and what does it indicate? the broccoli function has the greater slope, which shows that the cost per pound of broccoli is less than the cost per pound of cauliflower. the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is less than the cost per pound of broccoli. the cauliflower function has the greater slope, which shows that the cost per pound of cauliflower is greater than the cost per pound of broccoli.

Answers

The function that has a greater slope will be B. The broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.

What is a linear function?

It should be noted that a linear function simply means a function whose graph is a straight line.

From the information given, the slope will be:

= (y2 - y1(/(x2 - x1)

= (3.6 - 3)/(3 - 2.5)

= 1.2

The slope for broccoli is 1.2

The slope of the cauli flower will be:

= (3.20 - 2.75)/(3.20 - 2.75)

= 1

Therefore, the broccoli function has the greater slope, which shows that the cost per pound of broccoli is greater than the cost per pound of cauliflower.

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Answer:

B

Step-by-step explanation:

right on 2022 edg


Suppose you and your friends form a band and you want to record a demo. Studio A rents for $75 plus $75 an hour and Studio B
rents for $150 and $50 an hour. Let t= the number of hours and c = cost.
Part A
Write a system of equations to represent the cost at each studio.
Part B
Solve the system of equations from Part A. Explain your method.
Part C
Explain what the solution to the system means in terms of where your band will rent a studio.

Answers

Answer:

Step-by-step explanation:

Studio A rents for $75 plus $75 an hour .

Studio B rents for $150 and $50 an hour.

Let t = the number of hours and c = cost.

Part A

Write a system of equations to represent the cost at each studio.

Studio A: c = 75 +75·t

Studio B: c = 150 +50·t

Part B

Solve the system of equations from Part A. Explain your method.

We solve the system of equation using substitution method, where we substitute c in the first equation with 150 +50t.

150 +50·t = 75 +75·t, subtract 75 and 50t from both sides

   150 -75 = 75t -50t, combine likes terms

           75 = 25t, divide both sides by 25

             3 = t

Now we know that t = 3 so we find c by substituting t with 3 in the second equation.

c = 150 +50·t

c = 150 +50·3

c = 300

The solution of the system of equations is c = 300 and t = 3

Part C

Explain what the solution to the system means in terms of where your band will rent a studio.

The solution of the system of equation tells us that if we rent either studio A or B for 3 hours will pay the same price $300.

The price will be different if we rent studio A then studio B if we rent it for a different amount of time than 3 hours.

Ax -c=bx+d solve for x

Answers

Answer:

[tex] x = \dfrac{c + d}{a - b} [/tex]

Step-by-step explanation:

ax - c = bx + d

ax - bx = c + d

x(a - b) = c + d

[tex] x = \dfrac{c + d}{a - b} [/tex]

Using a straightedge and compass the ancient Greeks were able to construct many geometric objects

Answers

Step-by-step explanation:

A department has five employees with five jobs to be performed. the time in hours each man will take to perform each jobs is given in the effectiveness matrix .

Two angles of a quadrilateral measure 105° and 150°. The other two angles are in a ratio of 4:17. What are the measures of those two angles?

Answers

Answer:

20 degrees and 85 degrees.

Step-by-step explanation:

105 degrees+ 150 degrees is equal to 255 degrees. 360 degrees - 255 degrees is 105 degrees. To get the ratio equivalent to 105 degrees you have to multiply both sides by 5 in order to get 20 degrees, and 85 degrees. I hope this helps! :)

Which statement about ABCD isn’t true

Answers

Answer:

The answer is B. AC = BD.

Step-by-step explanation:

ABCD is given as a parallelogram. Most of the line is given to be parallel.

AB = CD and BC = AD are told that they are in a parallel line to each other.

The line inside the parallelogram is yet to be said if they equal each other, thus, statement B. AC = BD must be false.

C is not true c is not true

3. A farmer needs to dig a rectangular pit that is 5m long, 4m wide and 6m deep. How many cubic meters of soil must he removed?

156 m3
120 m3
231 m3
345 m3
wrong answer/nonsense = report

Answers

Answer:

120 m3

Step-by-step explanation:

The volume of a rectangular prism is l*w*h. plug in the 3 measurements and get 5*4*6 = 120

120m3 you have to do the length x width x hight which is 5 x 4 x 6 therefore the answer is 120m3

Classify each polynomial according to its degree and type. Look at the screenshot below!

Answers

Answer:

                  Monomial    Binominal     Trimoninal

Degree 1:        -9x               x + 6

Degree 2:       -4[tex]x^{2}[/tex]             [tex]4x^{2} -x[/tex]       [tex]x -3x^{2} + 1[/tex]

Degree 3:        4[tex]x^{3}[/tex]            5 - 2[tex]x^{3}[/tex]         [tex]3x^{2} + 3x^{3} -10[/tex]

Step-by-step explanation:

I do not know how to explain how I got to this answer, but here is the answer.

solve pls brainliest

Answers

36 is 45% of 80
36/80 multiple both nominator and denominator by 100/100.
If using a calculator simply 36 divided by 80 and multiply by 100 giving you 45%
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