How do you know if an equation is consistent and independent consistent and dependent or inconsistent?

Answer:

Step-by-step explanation:

The coefficients of the x terms are {1, 3, -3}, so the discriminant, b^2 - 4ac, is 3^2 - 4(1)(-3), or 9 + 12, or 21.  The positive nature of the discriminant tells us that there are two real, unequal roots.  Following the quadratic formula, we get:

       -3 ± √21

x = -----------------

              2

Answer:

a) For Khalil's purchase

4x + 3y = 11.67.....Equation 1

For Ronda's purchase

8x + y = 12.89......Equation 2

b) A can of soup = x = $2.09

Loaf of bread = y = $1.35

Step-by-step explanation:

A grocery store is offering a sale on bread and soup. Khalil buys four cans of soup and three

loaves of bread for $11.67. Ronda buys eight cans of soup and one loaf of bread for $12.89.

Homework Help!

Let us represent:

a can of soup = x

Loaf of bread = y

a. Write equations for both Khalil's and Ronda's purchases.

For Khalil's purchase

= Khalil buys four cans of soup and three loaves of bread for $11.67.

4x + 3y = 11.67.....Equation 1

Ronda buys eight cans of soup and one loaf of bread for $12.89.

8x + y = 12.89......Equation 2

b. Solve the system to find the price of one can of soup and the price of one loaf of bread.

We have:

4x + 3y = 11.67.....Equation 1

8x + y = 12.89......Equation 2

y = 12.89 - 8x

We substitute 12.89 - 8x for y in Equation 1

4x + 3(12.89 - 8x) = 11.67

4x + 38.67 - 24x = 11.67

38.67 - 11.67 = 24x - 4x

27 = 20x

x = 27/20

x = 1.35

y = 12.89 - 8x

y = 12.89 - 8 × 1.35

y = 12.89 - 10.8

y = 2.09

Therefore,

Solving for y

a can of soup = x = $2.09

Loaf of bread = y = $1.35

Answer:

3.23

Step-by-step explanation:

Answer:

the answer is 3.23 hahahhhhahahhahndjalid;jslakjsakl sorry needed that to submite the answer

Answer:

60

Step-by-step explanation:

just multiply 10 by 6 why is this in highschool math though.

Answer:

32

Step-by-step explanation:

ΔADC is a right angle triangle, we will use the Pythagorus Theorem to find the length CD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ AD² + CD² = AC²

The value of AD is 54 and the value of AC is 90:

54² + CD² = 90²

Solve for CD:

54² + CD² = 90²

CD² = 90² - 54²

CD² = 5184

CD = √5184

CD = 72

ΔADC is also a right angle triangle, we will use the Pythagorus Theorem to find the length BD.

Formula of the Pythagorus Theorem :  

⇒ a² + b² = c²

⇒ BD² + CD² = BC²

The value of CD is 72 and the value of BC is 97:

BD² + 72² = 97²

Solve for BD:

BD² = 97² - 72²

BD² = 4225

BD = √4225

BD = 65

Answer: The length of BD is 65 units.

Given:

The graph of a trend line.

To find:

The equation of the trend line is slope intercept form.

Solution:

From the given graph it is clear that the equation of the trend line is passes through the points (0,25) and (5,50).

Slope of the line is:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\dfrac{50-25}{5-0}[/tex]

[tex]m=\dfrac{25}{5}[/tex]

[tex]m=5[/tex]

The line passes through the point (0,25). So, the y-intercept of the line is 25.

Slope intercept form of a line is:

[tex]y=mx+b[/tex]

Where, m is slope and b is y-intercept.

The slope intercept from of the line is:

[tex]y=(5)x+(25)[/tex]

[tex]y=5x+25[/tex]

Therefore, the equation for the trend line in slope -intercept form is [tex]y=5x+25[/tex].

Answer:

multiply the hight and length then divide it by 2

Step-by-step explanation:

Answer:

864cm squared

Step-by-step explanation:

The base is 16 x 16

The 4 lateral faces (Triangles) are [(19 x 16) / 2 ] x 4}

Answer:

x = 6 , − 2

Step-by-step explanation:

Answer:

86.54625

Step-by-step explanation:

Formula: a = πr², r = d/2

Given: π = 3.14, d = 10.5

Sub: a = (3.14)r²

Find r.

10.5/2

5.25

Sub: a = (3.14)5.25²

Solve: 86.54625

Answer:

6cm

Step-by-step explanation:

correct for 100 points i swear

Answer:

for the 1st year she earned 160 so for 3 years she will earn $480

Answer:

I think box #1 doesnt't belong because it say spend $100 and get $10 off

Step-by-step explanation:

Answer:

30cm

Step-by-step explanation:

Find L.C.M of 90 and 120

Answer:

Step-by-step explanation:

surface area = 3^2 : 11^2

volume = 3^3 : 11^3

width  = 3: 11

hmm I'm not sure what you can enter into the text boxes.. if it won't let you put in the exponentials just use your calculator to put in the number that they equal.   But I like the exponential form better.  

Answer:

ok so weknow tht 160 pounds cost 9.60 how much do u think will 1.50 cost

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

The solution to a system of equation is when two lines pass and intersect ona specific point. Here we are looking for (0,1).

we can see b intersects on (0,1) so that is out answer.

Answer:

y = - 4

Step-by-step explanation:

Given

y = 2x + ( - 2) , that is

y = 2x - 2 ← substitute x = - 1

y = 2(- 1) - 2 = - 2 - 2 = - 4

This is confirmed by the point (- 1, - 4 ) on the graph

Answer:

$0.05

Step-by-step explanation:

All you have to do us divide the cost by the amount of ounces

3.45 ÷ 64 is about 0.05

The full answer is 0.05390625

Since we are talking about money, it should be $0.05

Answer:

8/13

hope this answer helps you.....

Answer:

956.73

Step-by-step explanation:

0.3% = 0.003

1-0.003 = 0.997

49/6 = 8 r1 (use 8 because decay is not continuous)

0.997^8 = 0.97625...

0.97625... x 980 ≈ 956.73

Answer: 956.25

Step-by-step explanation:

Answer:

1072

Step-by-step explanation:

Answer:

C. 59

Step-by-step explanation:

Hello There!

Remember the angles in a triangle add up to equal 180

So if we want to find a missing angle we subtract the given angles ( in this case 65 and 56) from 180

So missing angle = 180 - 65 - 56

180 - 65 = 115

115 - 56 = 59

So we can conclude that the missing angle has a measure of 59 degrees

Answer:

C: 59

Step-by-step explanation: His explanation is correct, I did it myself.