Solve system of equations 14x + y = -4 and y = 3x^2 - 11x

Help please!! Thanks

Nutka1998 [239]

Answer:

Q2 2010

Step-by-step explanation:

Let the number of quarters = x

Samsung increases by 6 each quarter.

Apple decreases by 1 each quarter.

Samsung

L = a + (x - 1)*6

a = 1

L = 1 + (x - 1)*6

Apple

L = a - (x - 1)*1

a = 53

L = 53 - (x - 1)*1

Now the problem is how many quarters go by until they meet?

1 + (x - 1)*6 = 53 - (x - 1) Remove the brackets

1 + 6x - 6 = 53 - x + 1 Combine like terms on both sides.

-5 + 6x = 54 - x Add 5 to both sides

6x = 59 - x Add x to both sides

7x = 59

x = 59/7 = 8 3/7

So sometime in the 8th quarter from zero they will be equal. At the end of the quarter, Samsung will be greater than Apple

So the answer should be 4 quarters from Q2 2009 or Q2 2010

3 0

3 years ago

The perimeter of a triangle is 93 ft. Side a of the triangle is twice as long as side b. Side c is 3 ft longer than side a. Find

Sunny_sXe [5.5K]

The length of side a is 36 feet and side b is 18 feet and side c is 39 feet

Solution:

Given that perimeter of triangle is 93 feet

The three sides of triangle are a, b, and c

Given that Side a of the triangle is twice as long as side b

side a = 2 times side b

a = 2b

$b = \frac{a}{2}$ ---- eqn 1

Given that Side c is 3 ft longer than side a

side c = 3 + side a

c = 3 + a ------ eqn 2

The perimeter of triangle is given as:

p = a + b + c

Where a, b, c are the length of sides of triangle

Substitute eqn 1 and eqn 2 in above formula

$p = a + \frac{a}{2} + 3 + a$

Given that perimeter = 93

$93 = a + \frac{a}{2} + 3 + a\\\\93 = \frac{2a + a + 6 + 2a}{2}\\\\93 \times 2 = 2a + a + 6 + 2a\\\\186 = 5a + 6\\\\5a = 186 - 6\\\\5a = 180\\\\a = 36$

Thus length of side a = 36 feet

Length of side b :

from eqn 1

$b = \frac{36}{2} = 18$

b = 18 feet

Length of side c:

From eqn 2,

c = 3 + 36 = 39

c = 39 feet

Thus length of side a is 36 feet and side b is 18 feet and side c is 39 feet

6 0

4 years ago

Which point lies inside the circle with equation (x − 2)2 + (y + 3)2 = 4? a(0, −3) b (2, 0) c (2, −5) d(2, −4)

Stolb23 [73]

Answer:

d. (2, -4)

Step-by-step explanation:

The equation describes a circle centered at (2, -3) with a radius of 2.

Any points with an x-coordinate of 2 must have a y-coordinate in the interval -3±2 = (-1, -5) to be inside the circle. One such point is ...

(2, -4) . . . . choice D

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The attached graph shows the locations of the answer choices.

6 0

4 years ago

According to this equation, what is the value of x at t=0? express your answer in terms of the variables a, b, m, and k.

andriy [413]

Whats the equation?

5 0

4 years ago

Help me plz :)

goldenfox [79]

Answer:

2.Relationships

Step-by-step explanation:

Linear means straight and a graph is a diagram which shows a connection or relation between two or more quantity. So, the linear graph is nothing but a straight line or straight graph which is drawn on a plane connecting the points on x and y coordinates.

6 0

3 years ago

Solve system of equations 14x + y = -4 and y = 3x^2 - 11x - 4