Determine the x- and y-intercepts of the graph of x−4y=8 . Then plot the intercepts to graph the equation.

Answer:

Inter milan had 24 wins, 10 draws and 4 losses.

Step-by-step explanation:

Let n₁ = number of wins, n₂ = number of draws and n₃ = number of number of losses. Let W = win points = 3, L = loss points = 0 and D = draw points = 1 Since we have our total number of points a 82, then

n₁W + n₂D + n₃L = 82

3n₁ + n₂ + 0n₃ = 82   (1)

Also, since there are 38 points in total, we have that

n₁ + n₂ + n₃ = 38    (2)

Also, we have 20 more win points than loss points. So,

n₁ = n₃ + 20

n₁ + 0n₂ - n₃ = 20 (3)

We have 3 equations. We now write them in matrix form below.

[tex]\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right] \left[\begin{array}{ccc}n_{1} \\n_{2}\\n_{3}\end{array}\right] = \left[\begin{array}{ccc}82 \\38\\20\end{array}\right][/tex]

In the form AX = B, where A =  

[tex]A =\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right] , X =\left[\begin{array}{ccc}n_{1} \\n_{2}\\n_{3}\end{array}\right] and B= \left[\begin{array}{ccc}82 \\38\\20\end{array}\right][/tex]

Using cramer's rule, n₁ =

[tex]det\left[\begin{array}{ccc}82&1&0\\38&1&1\\20&0&-1\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right][/tex]

= 82((-1 × 1) - 0 × 1) - 1((38 × -1)- (20 × 1)) + 0((38 × 0) - 20 × 1) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)

= (-82 + 58 + 0)/(-3 + 2 + 0)

=  -24/-1

= 24

n₂ =

[tex]det\left[\begin{array}{ccc}3&82&0\\1&38&1\\1&20&-1\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right][/tex]

= 3((38 × -1)- (20 × -1)) - 82((-1 × 1) - 1 × 1)  + 0(20 × 1 - (38 × 1) ) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)

= (-174 + 164 + 0)/(-3 + 2 + 0)

=  -10/-1

= 10

n₃ =  

[tex]det\left[\begin{array}{ccc}3&1&82\\1&1&38\\1&0&20\end{array}\right] /det\left[\begin{array}{ccc}3&1&0\\1&1&1\\1&0&-1\end{array}\right][/tex]

= 3((1 × 20)- (0 × 38)) - 1((1 × 20) - 1 × 38)  + 82(1 × 0 - (1 × 1) ) ÷ 3((-1 × 1) - 0 × 1) - 1((-1 × 1) - 1 × 1) + 0(1 × 0 + 1 × 1)

= (60 + 18 - 82)/(-3 + 2 + 0)

=  -4/-1

= 4

So, Inter milan had 24 wins, 10 draws and 4 losses.

Answer:

I HAVE NO IDEA ALL IK IS U ADD THEM

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

is the answer

Answer:

a) The inequality representing the number of cases he can take =

180 + 47c ≤ 2700

b) 53 cases

Step-by-step explanation:

A worker is taking cases of screws on a lift. Each case weighs 47 pounds and the worker weighs 182 pounds. the lift

has a weight limit of 2700 pounds

a) Write an inequality that describes the number of cases he can safely take on each trip.

Let us represent the number of cases as c

hence,

180 + 47 × c ≤ 2700

= 180 + 47c ≤ 2700

b) What is the maximum amount of cases he can take?

The maximum amount of cases he can take =

180 + 47c ≤ 2700

180 + 47c = 2700

Collect like terms

47c = 2700 - 180

47c = 2520

c = 2520/47

c = 53.617021277 cases

c = 53 cases

The maximum number of cases he can carry is 53 cases

Step-by-step explanation:

2x + 90 + x = 180

Subtract 90 from both sides

you get 3x = 90

Devide

[tex] \frac{3x}{3} = \frac{90}{3} \\ x = 30[/tex]

Answer:

Length of the first board is 20 inches.

Step-by-step explanation:

Let the length of first board is x and that of second board is five inches more than two times the length of the first board.

Length of second board = 5+2x

Total length of two boards is 65 inches

ATQ,

x+5+2x=65

3x+5=65

Taking like terms together,

3x=65-5

3x=60

x = 20

So, the length of the first board is 20 inches.

Answer:

y-3=4(x+2)

Step-by-step explanation:

Once you know how the point slope form equation is laid out this question is actually quite easy. Point slope form looks like this

y-y2=slope(x-x2)

I put the y in the front and the slope (4) comes after the equal sign. Then x is subtracted from x. But I put a plus sign because when you subtract a negative number, it is the same as adding a negative number. This is why the ending part of the equation is (x+2) instead of (x--2). Hopefully this makes sense...

Answer:

Step-by-step explanation:

You didn't give the options but let me try help out.

From the question, we are informed that Francis had math homework 18 out of the 30 days in the month.

For us to get the value that is equivalent to the fraction of days she had math homework, we can reduce the fraction to its lowest term. Therefore,

18/30 = 2/5

2/5 is an equivalent fraction.

Answer:

x = 4, x = 2

Step-by-step explanation:

(7+2)/ 3 x 4

9/3 x 4

3 x 4

= 12

Answer:

235

Step-by-step explanation:

Answer:

The conversing factor is [tex]\dfrac{1}{1000}\ km[/tex].

Step-by-step explanation:

The average speed of a person is 18 km/h.

We need to convert the speed to meters/hour.

We know that,

1 km = 1000 m

or

[tex]1\ m=\dfrac{1}{1000}\ km[/tex]

So,

[tex]18\ \dfrac{km}{h}=18\times \dfrac{1000\ m}{h}\\\\=18000\ m/h[/tex]

So, the conversing factor is [tex]\dfrac{1}{1000}\ km[/tex].

Answer:here ya go

Step-by-step explanation:

Answer:

the correct answer is B because if you look at the graph you will see that both are increasing so the answer is as the age increases the height increases

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

22.4 m/s

Step-by-step explanation:

Given:

Δx = 25 m

v₀ = 0 m/s

a = 10 m/s²

Find: v

v² = v₀² + 2aΔx

v² = (0 m/s)² + 2 (10 m/s²) (25 m)

v = 22.4 m/s

Answer:

Step-by-step explanation:

Answer:

Add  

5

5

5

to both sides of the equation

5

−

5

=

9

+

3

5x-5=9x+3

5x−5=9x+3

5

−

5

+

5

=

9

+

3

+

5

5x-5+{\color{#c92786}{5}}=9x+3+{\color{#c92786}{5}}

5x−5+5=9x+3+5

2

Simplify

Add the numbers

Add the numbers

again

5

=

9

+

8

5x=9x+8

5x=9x+8

3

Subtract  

9

9x

9x

from both sides of the equation

5

=

9

+

8

5x=9x+8

5x=9x+8

5

−

9

=

9

+

8

−

9

5x{\color{#c92786}{-9x}}=9x+8{\color{#c92786}{-9x}}

5x−9x=9x+8−9x

4

Simplify

Combine like terms

Combine like terms

again

−

4

=

8

-4x=8

−4x=8

5

Divide both sides of the equation by the same term

−

4

=

8

-4x=8

−4x=8

−

4

−

4

=

8

−

4

−4−4x​=−48​

6

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

= − 2

x=-2

x=−2

Solution

= − 2

Step-by-step explanation:

Answer:

Carlas memory card fills up on the 22nd of May

Step-by-step explanation:

35x16=795

1024-795=229

229 divided by 35=6.5

16+6=22

Answer:

Step-by-step explanation:

Play-All-Day television service

the Modell for the cost is given as

y=mx+c

y=15x+20------------1

where x is the number of months

The Best Company television service

the Modell for the cost is given as

where x is the number of months

y=mx+c

y=12x+32------------2

equating 1 and 2 we can solve for x, we have

15x+20=12x+32

15x-12x=32-20

3x=12

divide both sides be 3

x=12/3

x=4

the number of months is 4months

Answer:

the answer is B

Step-by-step explanation:

A scale factor is defined as the ratio between the scale of a given original object and a new object.

The image will be congruent to the pre-image because n = 1.

Option B is the correct answer.

A scale factor is defined as the ratio between the scale of a given original object and a new object.

We have,

A rectangle is dilated by a scale factor of n = 1.

This means that there is no change in the rectangle.

When the pre-image is the same as the image formed the scale factor is one.

The preimage is the original shape.

The image is the final image after dilation.

So,

The image will be congruent to the pre-image because n = 1.

Thus,

The image will be congruent to the pre-image because n = 1.

Option B is the correct answer.

Learn more about scale factors here:

https://brainly.com/question/20759556

#SPJ2

Answer:

D

Step-by-step explanation:

Answer:

d. y = 4 - 3x

Step-by-step explanation:

Slope is x, therefore -3x is slope and 4 is the y-int

hope this helps :)

Answer:

y - 1 = -3/4(x + 8)

General Formulas and Concepts:

Point-Slope Form: y - y₁ = m(x - x₁)  

x₁ - x coordinate

y₁ - y coordinate

m - slope

Step-by-step explanation:

Step 1: Define

Point (-8, 1)

Slope m = -3/4

Step 2: Write equation

y - 1 = -3/4(x + 8)

Answer:

14

Step-by-step explanation:

if you multiply 4 by 14 you'll get 56 so in that case the number of tickets she bought would we 14.

hope this helps :)

-may i get brainliest

Answer:

The length is approximately 103.92 ft

Step-by-step explanation:

The angle the given ladder makes with the ground = 60°

The height to which the ladder reaches. h = 90 ft.

Assumption;

The angle formed between the wall and ground = 90°

The shape formed by the length, l, of the ladder the height to which the ladder reaches on the wall, h, and the ground, b, is a right triangle, with the length, l, of the ladder facing the 90° angle and the height, h, facing the 60° angle.

By sine rule, we have;

l/sin(90°) = h/sin(60°)

Therefore, the length l = sin(90°) × h/sin(60°) = 1 × 90/(sin(60°)) = 90/((√3)/2) = 2 × 90/√3 ≈ 103.92

The length, l ≈ 103.92 ft.

Answer:

8

x=17

Step-by-step explanation:

Answer:

x - 9 = 8

Step-by-step explanation:

Given

x - 5 = 12 ( add 5 to both sides )

x = 17

Thus

x - 9 = 17 - 9 = 8

Answer:

60. 15

---- = ------ x=25

100. x

Answer:

y=10(x-9)+3

Step-by-step explanation:

Point Slope Formula: y=m(x-x1)+y

y=10(x-9)+3

Answer: 9in - 9in

Step-by-step explanation: I believe the answer is 9in - 9in because 3in3 -in9 = 3in x 3 - in x 9 = 0 which comes out to 9in - 9in