Choose the best method to solve the system of linear equations. Then choose a reason to justify your answer choice. x−3y=6 x−3y=−3

Answer:

y=3x+2

-4x+4y=16

-4x+4(3x+2)=16

-4x+12x+8=16

8x=16-8

8x=8

x=8/8

x=1

y=3x+2

y=3(1)+2

y=3+2

y=5, x=1

Answer:

180 yards of fabric produced in 1 hour

your welcome :)

9514 1404 393

Answer:

  C.  f^-1(x) = (∛(x+1))/4

Step-by-step explanation:

The inverse function can be found by solving x = f(y) for y.

  [tex]f(y)=x\\\\64y^3-1=x\\\\64y^3=x+1 \qquad\text{add1}\\\\4y=\sqrt[3]{x+1} \qquad\text{cube root}\\\\y=\dfrac{\sqrt[3]{x+1}}{4} \qquad\text{divide by 4}\\\\\boxed{f^{-1}(x)=\dfrac{\sqrt[3]{x+1}}{4}}[/tex]

Answer:

A. 1,112

Step-by-step explanation:

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Option A is the correct answer.

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example: so

1 + 3x + 4y = 7 is an expression.com

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

Let's start by finding the profit per chair:

So,

Profit per chair = Selling price - Production cost

= $55.75 - $16.91

= $38.84

Next, we need to determine how many chairs the manufacturer needs to sell to make a profit of $24,850:

Profit = Profit per chair x Number of chairs sold - Overhead costs

$24,850 = $38.84x - $18,340

$43,190 = $38.84x

x = 1,112.49

Rounding to the nearest whole number, the manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Therefore,

The manufacturer needs to sell approximately 1,112 chairs to realize a profit of $24,850.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ5

Answer:

12 and 5 inches since squaring them would equal 144+25, which is 169, and ✓169=13. the two legs have to equal the hypotenuse when combined to be a right triangle.

Step-by-step explanation:

c

Answer:

c.3x+5

A.x+3

D.x-3

Step-by-step explanation:

Answer:

Subtracting a number is the same as adding the opposite of the number

Step-by-step explanation:

Subtracting a negative number from a negative number – a minus sign followed by a negative sign, turns the two signs into a plus sign. So, instead of subtracting a negative, you are adding a positive. Basically, - (-4) becomes +4, and then you add the numbers. For example, say we have the problem -2 - –4.

Answer: CB = 7.    AC = 5.

Step-by-step explanation:

Well we know that A-B is 7. And this is a right triangle, so the CB will be the same length. So CB = 7.

Now AC.

You divide 45 degrees by 7. And you get five.

So AC = 5 and CB = 7.

Answer:

AC= 7√6/2

CB=7√2/2

Step-by-step explanation:

i posted with answers in the photo

put 73.5 in √ it gives u 7√6/2

Answer:

1. A.)4 - 4n = 14

2. C.) 42 * 3 = B

Step-by-step explanation:

1. Four less than : 4 -

Four times a number : 4 × n = 4n

(let n represents the number)

Equals 14 : = 14

= 4 - 4n = 14

2. Each person paid : $42

Keith, Alyssa, and Sara : 3

The bill : let B represent bill

= $46 * 3 = B

I hope this helps!

Answer:

Step-by-step explanation:

AD║FJ and CH is transversal

∡BCH and ∡CHJ are alternate interior angles

Alternate interior angles are congruent:

Answer: B ) -x^2 + x-4

Step-by-step explanation:

Answer:

hello your answer will be 9/2

Answer:

1. 70  2. 85  3. 63  4. 20  5. They are vertical angles

Step-by-step explanation:

Answer:

CD = 10$

Cassette = 1$

Step-by-step explanation:

ok, time to use some variables

C = CD

S = Cassette

2c + 5s = 25$

1c + 15s = 25$

the second equation has 1 less CD and 10 more Cassettes, therefore 1c = 10s

Now we can calculate how many Cassettes we can buy

1c - 1c = 0c

15s + 10s = 25s

This means that 25s = 25$

therefore 1s = 1$

since we know that 10s = 1c, and 1s = 1$, then we can figure out how many dollars the CD is

1c = 10s = 10$

1c = 10$

Variables are helpful :)

Answer:

(8, 0)

Step-by-step explanation:

TAKE NOTE: In a glide reflection, you always start w/ the second transformation.

RULE (in this case): (x, y) --> (y, x)

(2, 7) => (7, 2)

RULE: (x, y) --> (x + horizontal shift, y + vertical shift)

(7, 2) => (7+1, 2-2) or (8, 0)

You can check your answer by doing this the opposite way.

Hope this helped ^^

(Please inform me of any mistakes or misunderstandings!]

Answer:

[tex]\huge\boxed{y=\frac{1}{4}x + \frac{13}{4}}[/tex]

Step-by-step explanation:

In order to find the equation to this line, we need to note that we see two points on this graph. Using these two points, we can use them to find the slope of the graph and use one to find the y-intercept.

We know that the slope of a line is defined by [tex]\frac{\Delta y}{\Delta x}[/tex] (change in y / change in x). Therefore, we can use our two points that we know - (-5, 2) and (3, 4) to find the slope.

The change in y is [tex]4 - 2 = 2[/tex], and the change in x is [tex]3 - (-5) = 3+5= 8[/tex]. Therefore, our slope is [tex]\frac{2}{8} = \frac{1}{4}[/tex].

Now that we know our slope, our equation in slope-intercept form looks something like this.

[tex]y = \frac{1}{4}x + b[/tex]

However, we still have b to solve for. We can solve for this by substituting a point we already know into the equation. Let's substitute (3, 4) inside.

So now we know that the y-intercept is [tex]\frac{13}{4}[/tex]. Plugging that into our equation finishes it off, leaving our final equation to be [tex]y = \frac{1}{4}x + \frac{13}{4}[/tex].

Hope this helped!

Answer:

y= 1/4 + 13/4

Step-by-step explanation:

mark brainless please..

;-;

(did this question before)

lol

Answer:

             [tex]\bold{m=-\dfrac92=-4.5}[/tex]

Step-by-step explanation:

[tex]\bold{slope\, (m)=\dfrac{change\ in\ Y}{change\ in\ X}=\dfrac{y_2-y_1}{x_2-x_1}}[/tex]

(2, -9)    ⇒   x₁ = 2,  y₁ = -9

(-2, 9)    ⇒   x₂ = -2,  y₂ = 9

So the slope:

                    [tex]\bold{m=\dfrac{9-(-9)}{-2-2}=\dfrac{18}{-4}=-\dfrac92}[/tex]

Answer:

B = no solution

Step-by-step explanation:

y = -5x - 3

-5x - y - 3 = 0

Substitute

-5x - (-5x - 3) - 3 = 0

Distributive Property

-5x + 5x + 3 - 3 = 0

Combine Like terms

0 + 3 - 3 = 0

0 + 0 = 0

0 = 0

This system has no solutions. You don't have a value for x or y

Hope this helped

Answer:

surds are option A, D and E

[tex]A. \ \sqrt{17} \\\\D. \ \sqrt{15} \\\\E. \ \sqrt{30}[/tex]

Step-by-step explanation:

Given;

[tex]A. \ \sqrt{17} \ \ \ \ B. \ \sqrt{36} \ \ \ \ C. \ \sqrt{100} \ \ \ \ D. \ \sqrt{15} \ \ \ \ E. \ \sqrt{30}[/tex]

A Surd have no perfect square root.

B. √36 = 6

C. √100 = 10

Option  B and C have perfect square roots.

Thus, surds are option A, D and E, which have no perfect square root.

[tex]A. \ \sqrt{17} \\\\D. \ \sqrt{15} \\\\E. \ \sqrt{30}[/tex]

Answer:

57.5 MPH

Step-by-step explanation:

You have to divide to find unit rate.

You will get 57.5 once you divide.

Answer:19

Step-by-step explanation:2 d -5

                                    2 (12) -5

                                    24-5

                                     =19

Answer:

See below

Step-by-step explanation:

Taking the readings from the graph

Rate of change for the given line is:

Equation for the line is:

For the point (40, 76) we can verify with the equation:

The point (40, 76) is close the line but the line doesn't pass through it.

Answer:

x | y

0 | 2

2 | 6

4 | 10

6 | 14

Equation of the line is

[tex] \frac{y - 2}{x - 0} = \frac{6 - 2}{2 - 0} \\ \frac{y - 2}{x} = \frac{4}{2} = 2 \\ y - 2 = 2x \\ y - 2x = 2\\ \boxed{y=2x+2}[/tex]

When x=40, y will be (2×40)+2 =82

So the point should pass through (40,82) and not (40,76).

Answer:

4. 1/2

5. 9/1

Step-by-step explanation:

4. 2/4 simplifies to 1/2

5. 18/2 simplifies to 9/1

Answer:

37

Step-by-step explanation:

This simply requires plugging in the numbers-

bc - b + c = ?

(8)(5) - 8 + 5 = ?

Then solve-

40 - 8 + 5 = ?

32 + 5 = 37

Therefore-

bc - b + c = 37

Step-by-step explanation:

Hey there!

Given;

The sum of two numbers is 45.

One of them is 27.

Let next number is "x".

So, Add "x" and "27" and show it is equal to 45.

Or, x+27 = 45

Therefore, x+27 = 45 is the required equation.

Now, solving unknown number.

~ Take "27" to right side and subtract it.

x= 45 - 27

X= 18

Therefore, next number is (x) = 18.

Hope it helps...

ANSWER = 18

Step-by-step explanation:

the sum of two no. =45

one no.=27

therefore,

two no.=

45-27=18

Answer:

x= -3 , -7

Step-by-step explanation:

Answer:

Step-by-step explanation:

4x^2+40x+84=0

i divide first by 4 the whole equation

x^2+10x+21=0

we use the quadratic formula to solve it

and you will get x=-3, and -7

from least to greatest

-7 ,-3

Answer:

Lauren will get $640 and Cara will get $560.

Step-by-step explanation:

Given that:

Age of Lauren = 16

Age of Cara = 14

Ratio = 16 : 14

Amount given by their grandad = $1200

Let,

x be the number of times.

16x + 14x = 1200

30x = 1200

Dividing both sides by 30

[tex]\frac{30x}{30}=\frac{1200}{30}\\x=40[/tex]

Share of Lauren = 16x = 16*40 = $640

Share of Cara = 14x = 14*40 = $560

Hence,

Lauren will get $640 and Cara will get $560.