Examine the system of equations at right. y=-2x + 6 y = -9
a. Solve the system below twice graphically and algebraically. Verify that your solutions from the different methods are the same.
b. What is the relationship between the two lines? How can you tell?
c. Solve the system at right using your method of choice. 2x + 3y = 18 4x - 3y = 6​

Answers

Answer 1

Answer:  -6

Step-by-step explanation:    y-intercept: Put x = 0 in the equation y = 2x - 6 and solve for x. The y-intercept is -6

Hope This Helps Dude


Related Questions

Which expression is equivalent to one over five m − 20? (4 points)

A one over five (m − 4)

B one over five (m − 100)

C 5(m − 4)

D 5(m − 100)

HELP ASAP

Answers

Answer:

The equivalent to one over five m − 20 is one over five (m − 100) ⇒ B

Step-by-step explanation:

Let us solve the question

∵ One over five means [tex]\frac{1}{5}[/tex]

∴ One over five m - 20 = [tex]\frac{1}{5}[/tex] m - 20

→ By using the distributive property, take one over five as a common factor

  from both terms

∴ [tex]\frac{1}{5}[/tex] m - 20 = [tex]\frac{1}{5}[/tex] [tex](\frac{\frac{1}{5}m}{\frac{1}{5}}[/tex] - [tex]\frac{20}{\frac{1}{5}})[/tex]

→ Simplify the bracket

∵  [tex]\frac{1}{5}[/tex] m ÷ [tex]\frac{1}{5}[/tex] = [tex]\frac{1}{5}[/tex] m × 5 = m

∵ 20 ÷  [tex]\frac{1}{5}[/tex]  = 20 × 5 = 100

∴  [tex]\frac{1}{5}[/tex] [tex](\frac{\frac{1}{5}m}{\frac{1}{5}}[/tex] - [tex]\frac{20}{\frac{1}{5}})[/tex] = [tex]\frac{1}{5}[/tex] (m - 100)

∴ [tex]\frac{1}{5}[/tex] m - 20 = [tex]\frac{1}{5}[/tex] (m - 100)

The equivalent to one over five m − 20 is one over five (m − 100)

Which list shows the numbers below in order from least to greatest? −5.9, −234, 5.78, 58%−5.9, −234, 5.78, 58% −234, −5.9, 58%, 5.78−234, −5.9, 58%, 5.78 −5.9, −234, 58%, 5.78−5.9, −234, 58%, 5.78 58%, −234, 5.78, −5.958%, −234, 5.78, −5.9

Answers

-w,p sixteen - um.iy and 12.66

Abe is going to plant 54 oak trees and 27 pine trees.
Abe would like to plant the trees in rows that all have the same number of trees and are made up of only one type of tree.
What is the greatest number of trees Abe can have in each row?

Answers

Answer: There are 27 trees he can plant in one row. There is one pine tree and 2 oak trees in each row

Step-by-step explanation:

Manual is a word processor operator he makes $11.50 an hour determine his gross earnings for a week if he worked 52 hours

Answers

$598 basically 11.50•52

For the function f(x) = (x - 2)2 + 4, identify the vertex, domain, and range. (2 points) a The vertex is (-2, 4), the domain is all real numbers, and the range is y ≥ 4. b The vertex is (-2, 4), the domain is all real numbers, and the range is y ≤ 4. c The vertex is (2, 4), the domain is all real numbers, and the range is y ≤ 4. d The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.

Answers

Answer: The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.

Step-by-step explanation:

Answer: The correct answer is D (The vertex is (2, 4), the domain is all real numbers, and the range is y ≥ 4.)

Step-by-step explanation:

Brad is hoping to package exactly 48 baseballs together. He sees the side of a box in his storeroom that is 2 x 3. What is he hoping the other dimension is? please help me out! I need the eqation and answer and a drawing of it too! Please help me out!

Answers

The given dimensions of the base of the box are 2 x 3 units.

Let h be the height of the box.

So, the volume of the box = 2 x 3 x h ...(i)

The shape of baseball is spherical and one baseball fits in a cubical box having the minimum dimensions equal to the diameter of the spherical ball.

Assuming the diameter of the baseball is d units.

So, the volume occupied by one baseball= volume of the cubical box having the side [tex]d[/tex] units.

[tex]=d^3[/tex] cubic units

So, the volume required to pack 48 baseballs

[tex]= 48 d^3 \cdots(ii)[/tex]

Assuming that all the baseballs fit in the box, i.e peripheral balls in every horizontal and vertical layer touched the box as shown in the figure.

So, the length, 3 units and the width, 2 units, must be the integral multiple of the diameter, [tex]d[/tex] units, of the baseball. i.e

The length, [tex]3 = ad\cdots(iii)[/tex]

The width, [tex]2=bd\cdots(iv)[/tex]

The height, [tex]h=cd\cdots(iv)[/tex]

where [tex]a,b[/tex] and [tex]c[/tex]  belong to the natural number.

This required volume must be equals to the volume of the box.

From equations (i) and (ii),

[tex]2\times 3\times h=48d^3[/tex]

 [from (iii) and (iv)]

[tex]\Rightarrow abhd^2=48d^3[/tex]

[tex]\Rightarrow h=\frac{48d^3}{6abd^2}[/tex]

[tex]\Rightarrow h=\frac{48}{ab}d[/tex]

On comparing with the equation (iv)

[tex]c=\frac{48}{ab}\cdots(v)[/tex]

Now, if the diameter of the baseball is unity,i.e, d=1 unit

( integer) and (integer) [from (iii) and (iv)]

(also an integer)  [from (v)]

Now, the height of the box,

[tex]h=8 \times 1= 8[/tex] unit.

Hence, the other dimension of the box, is 8 units corrosponding to the unity diameter of the baseball.

Note the height of the box depends on the diameter of the baseball, so it will have infinite possible value for different value of the diameter.

For example, the value of height for d=1 unit has been shown.

and another example may be if units, then (integer) and (integer)

(also an integer)  [from (v)]

Now, the height of the box,

[tex]h=2 \times 0.5= 1[/tex] unit. [from (iv)]

Here, the height of the box is 2 units corrosponding to 0.5 unit diameter of the baseball.

The possivle values of d can be taken for which [tex]a,b[/tex] and [tex]c[/tex] must be integers.

You know: 13 + 7 = 20. Therefore: 13 + 7 + 2 = 20 + 2. Which Property of Equality was illustrated?
A. Subtraction Property of Equality
B. Multiplication Property of Equality
C. Division Property of Equality
D. Addition Property of Equality

Answers

Answer:

d

Step-by-step explanation:

expand 3(z+3) please help me solve this

Answers

Answer:

3(z+3) = 3z + 9 if thats what your asking

Step-by-step explanation:

Does a triangle with these side lengths exist 15,12,9

Answers

Answer:

Yes it does exist

Step-by-step explanation:

You must be able to add any two sides and get a number greater than the third side in order to be considered a triangle.

In this case that is possible.

Hope this helps!

convet one solar day into second​

Answers

Answer:

f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)f(x) = x2 – p(x + 1) – c, then (α + 1)(β + 1)

Step-by-step explanation:

1Solar day consists of 24 hours1hr =3600sec24hr=?(24)(3600)=86400secplease mark my answer

What does this mean f(5)=-10

Answers

You have to find f. F= -2

Anoushka needs to stain the circular wooden deck in the backyard. The deck has a diameter of 30 feet. A gallon of stain covers approximately 250 square feet. Each gallon is $33.99. How much will Anoushka spend in order to stain the deck? Use 3.14 to approximate .

Answers

Answer:

$101.97

Step-by-step explanation:

Diameter of circular wooden deck = 30 ft

Radius of the deck = ½ of diameter = ½*30 = 15 ft

Area of deck = πr² = 3.14*15² = 706.5 ft²

1 gallon covers 250 ft² (1 gallon = 250 ft²)

Let x be the number of gallons that will cover 706.5 ft² of the deck

Thus:

1 gallon = 250 ft²

x = 706.5 ft²

Cross multiply

1*706.5 = 250*x

706.5/250 = x

2.826 = x

Number of gallons to cover the deck is approximately 3 gallons (approximated to nearest whole number). Since the we can't buy a gallon that is not full, we approximate to give us 3 gallons.

1 gallon cost $33.99 (1 gallon = $33.99)

3 gallons cost: 3*33.99 = $101.97

How many four-digit numbers can you make with these three integers?
0, 1, 2

Answers

Answer:

I would think 2222

Step-by-step explanation:

Between the three numbers, that four-digit number is the greatest.

(Apologies if not correct)

PLEASE ANSWER ASAP
1.) the sum of two numbers is 42, the difference is 30. find the two numbers

2.) the perimeter of a rectangle is 62cm, the length is 1cm more than twice the width, what are the dimensions of the rectangle?

3.) in blue river terry can row 36km downstream in three hours, but it takes him 6 hours to row the same distance upstream, find the rate he rows in still water and the rate of the current.

4.) the cost of 8 avocados and 3 tomatoes is $8.39, the cost of 4 avocados and 12 tomatoes is $11.44. find the cost of each avocado and each tomato.

5.) coffee is worth $2.95 a pound was mixed with coffee worth $3.50 a pound to produce a blend worth $3.30 a pound. how much of each coffee was used to produce 44 pounds of blended coffee?

Answers

Answer:

1.) The two numbers are 36 and 6.

2.) 42cm + 20cm = 62cm

3.) 3km/hr = rate of current

4.) Each cost 0.79 cents

5.) Mixed is 16 lbs

Blended is 28 lbs

Step-by-step explanation:

Two pounds of raw materials are needed to produce one product. The desired ending balance of raw materials is 10% of the of the next month's production needs. (Refer to your answer in Activity Sheet 05). The beginning inventory of raw materials is 4,000 pounds and raw material cost per unit is P 0.50/per pound.

Answers

Answer:

Purchases= production + desired ending inventory - beginning inventory

Step-by-step explanation:

Giving the following information:

Two pounds of raw materials are needed to produce one product.

The desired ending balance of raw materials is 10% of the next month's production needs.

The beginning inventory of raw materials is 4,000 pounds.

The raw material cost per unit is $0.50 per pound.

To calculate the direct material purchase required for a given month, we need the production for each month. I will provide the formula and a small example to guide an answer.

To calculate the purchase required, we need to use the following formula:

Purchases= production + desired ending inventory - beginning inventory

For example:

Production:

January= 5,000 units

February= 4,500 units

Direct material purchases January:

Production= 5,000*2= 10,000

Desired ending inventory= (4,500*2)*0.1= 900

Beginning inventory= (4,000)

Total purchase in pounds= 6,900

Total direct material cost= 6,900*0.5= $3,450


PLS HELP PLSSSSSSS QUICK

Answers

mean (average) = all number added together/amount of numbers

(13.2 + 11.9 + 11.8 + 9.7 + x)/5 = 12.2
46.6 + x/5 = 12.2
46.6 + x = 61
x = 14.4

the heaviest fish weighs 14.4 lbs

Factor 125q^6 − r^6s^3.

Answers

Answer:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)

Step-by-step explanation:

Factor the following:

125 q^6 - r^6 s^3

Hint: | Express 125 q^6 - r^6 s^3 as a difference of cubes.

125 q^6 - r^6 s^3 = (5 q^2)^3 - (r^2 s)^3:

(5 q^2)^3 - (r^2 s)^3

Hint: | Factor the difference of two cubes.

Factor the difference of two cubes. (5 q^2)^3 - (r^2 s)^3 = (5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2):

(5 q^2 - r^2 s) ((5 q^2)^2 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (5 q^2)^2.

Multiply each exponent in 5 q^2 by 2:

(5 q^2 - r^2 s) (5^2 q^(2×2) + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

(5 q^2 - r^2 s) (5^2 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Evaluate 5^2.

5^2 = 25:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + (r^2 s)^2)

Hint: | Distribute exponents over products in (r^2 s)^2.

Multiply each exponent in r^2 s by 2:

(5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^(2×2) s^2)

Hint: | Multiply 2 and 2 together.

2×2 = 4:

Answer: (5 q^2 - r^2 s) (25 q^4 + 5 q^2 r^2 s + r^4 s^2)

HELP ME PLEASE ITS GEOMETRY PLEADE HELP

Answers

Answer:

Step-by-step explanation:

Let the complement = x

Let the angle = 5*x

x + 5x = 90

6x = 90

x = 90/6

x = 15

So the complement = 15

The angle itself is 5*15 = 75

The function g(x) is a transformation of the cube root parent function,
f(3) = Vz. What function is g(x)?
g(x)
O A. g(x) = 1 + 2
O B. g(x) = x + 2
O c. g(x) = 273
OD. g(Q) = v
PREVIOUS

Answers

Answer:

C

Step-by-step explanation:

Apex

The value of function of g (x) is,

⇒ g (x) = 2∛z

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given that;

The function g(x) is a transformation of the cube root parent function,

The function is,

⇒ f (x) = ∛z

Now, After translation we get;

The value of function of g (x) is,

⇒ g (x) = 2∛z

Thus, The value of function of g (x) is,

⇒ g (x) = 2∛z

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ7

I need help with this

Answers

Answer:

ok I did this construction about a year ago but I think I can remember something so if it's not correct I hope you won't be mad with me ok so the first step draw a straight line measure the length then make an AC on both sides then stand on one side make an arc upstand on the other side make an arc upthen stand on one AC and make another ARK on top of the other one then stand on the other AC and make another ark on top of the other one then join the lines yeah I think that's the procedure

What are three different ratios that are equivalent to 7;3

Answers

Answer:

7:3 7/3 and 3 to 6

Step-by-step explanation:

Answer:

3 over 7 (FRACTION) 7.3(Decimal) and 7 times 3(Muliplication)

Step-by-step explanation:

What is the base in the expression 45?
4
5
9
20

Answers

the answer to your question is 4

Answer:

yeah it is 4 i got it right

Step-by-step explanation:


What is the length of line segment KJ?
O 2/3 units
O 32 units
M 3 v
O 3/3 units
O 375 units

Answers

the answer two this is the second one
it’s the second one ur welcome

What is f(-8) for the function f?
F= 11(x-24)/2

Answers

Answer:

-176.........................

In a lab experiment, the decay of a radioactive isotope is being observed. At the beginning of the first day of the experiment the mass of the substance was 800 grams and mass was decreasing by 13% per day. Determine the mass of the radioactive sample at the beginning of the 12th day of the experiment. Round to the nearest tenth (if necessary).

Answers

The answer is that the mass would be 310.7 on the 12th day

-6x =48

need help urgently

Answers

Answer:

x = -8

Step-by-step explanation:

Divide each side by -6 to cancel out the -6 next to x. It should now look like this: x = -8

I hope this helps!

[tex]equation \: given[/tex]

[tex]→-6x =48[/tex]

[tex]step \: by \: step \: explanation:[/tex]

[tex] \implies{- 6x = 48}[/tex]

[tex]\implies \: x = \frac{48}{ - 6 } [/tex]

[tex] \blue{\implies \: x = - 8}[/tex]

Jacob baked 42 sugar cookies and 30 oatmeal cookies to package for his friends at school. He wants to package the cookies into identical containers so that each container has the same number of cookies. If he uses all of the cookies, what is the greatest number of containers he needs?

Answers

Answer:

6

Step-by-step explanation:

Given the following :

Number of sugar cookies = 42

Number of Oatmeal = 30

To package the cookies into identical containers so that each container has the same number of cookies with no left over ;

We find the greatest common factor of 42 and 30

Factors of 42 : 1, 2, 3, 6, 7, 14, 21, 42

Factors of 30 : 1, 2, 3, 5, 6, 10, 15, 30

The greatest common factor = 6

Estimate the sum 59.6 + 51.4

Answers

Answer:

111

Step-by-step explanation:

Answer:

111

Step-by-step explanation:

please help ASAP i don't understand what to do

Answers

Answer:

Range is (-5,5)

Step-by-step explanation:

It is the range of y values for the graph

Range is (-5,5).........

Which expression is equivalent to 1/4x+3−1/3x+(−2)?

Answers

Answer:

7/12x+5

Step-by-step explanation:

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