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2 years ago

How do you graph an equation and solve for x?

1 answer:

5 0

A system of linear equations contains two or more equations example: y=0.5x+2 and y=x-2. The solution of such a system is the ordered pair that is a solution to both equations. To solve a system of linear equations graphically we graph both equations in the same coordinate system. The solution to the system will be in the point where the two lines intersect.

hope this helps!

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If your income is $27 a month, the price of pizza is $5 and the price of a video is $4, how many pizzas will you buy and how

mixas84 [53]

27-4=23-4=19-5=14-4=10-5=5-5 ( 3 pizzas and 3 videos)

8 0

2 years ago

Wyatt offers 8 types of sandwiches and 4 types of tacos. He will increase his selection of sandwiches by 1 per month. He will in

Klio2033 [76]

Answer:

In 4 months Wyatt offer an equal number of sandwiches and tacos.

Step-by-step explanation:

We are given the following in the question:

Types of sandwiches = 8

Rate of increase of sandwich = 1 per month

Thus, number of sandwiches in x months will be given by

$n_1(x) = 8 + x$

Types of tacos = 4

Rate of increase of tacos sandwich = 2 per month

Thus, number of tacos in x months will be given by

$n_2(x) = 4 + 2x$

Equating the two equations, we get,

$n_1(x) = n_2(x)\\8 + x = 4 + 2x\\\Rightarrow x = 4$

Thus, in 4 months Wyatt offer an equal number of sandwiches and tacos.

4 0

3 years ago

The marginal price per pound (in dollars) at which a coffee store is willing to supply x pounds of Jamaican Blue Mountain coffee

il63 [147K]

Answer:

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

Step-by-step explanation:

We are given the following information in the question:

The marginal price per pound (in dollars) is given by:

$p'(x) = \displaystyle\frac{208}{(x+7)^2}$

where x is the supply in pounds.

$P(x) = \displaystyle\int p'(x)~dx =\displaystyle\int\displaystyle\frac{208}{(x+7)^2}~dx\\\\P(x) = \frac{-208}{(x+7)} + c\\\\\text{where c is the constant of integration.}$

The coffee shop is willing to supply 9 pounds per week at a price of $7 per pound.

Thus, we are given that

P(9) = 7

Putting the values, we get,

$P(x) = \displaystyle\frac{-208}{(x+7)} + c\\\\P(9) = 7\\\\\displaystyle\frac{-208}{(9+7)} + c = 7\\\\c = 7 + \frac{208}{16} = 20$

$P(x) = \displaystyle\frac{-208}{(x+7)} + 20$

Now, we have to find how many pounds it would be willing to supply at a price of $4 per pound.

P(x) = 4

$P(x) = \displaystyle\frac{-208}{(x+7)} + 20 = 4\\\\\frac{-208}{x+7} = -16\\\\x + 7 = 13\\x = 6$

Thus, the coffee shop is willing to supply 6 pounds per week at a price of $4 per pound.

3 0

2 years ago

movie tickets cost $9.25 each and a large order of popcorn costs $7.75 what is the total cost of 5 movie tickets and a large ord

Gelneren [198K]

The answer would be 54 dollars

8 0

3 years ago

Read 2 more answers

Find the x-values that are solutions of the equation 5cot^2x-15=0

julia-pushkina [17]

First solve for the trig function 'cot'
$cot^2 x = \frac{15}{5} = 3$

Next take the sqrt of both sides (include plus/minus)
$cot x = \pm \sqrt{3}$

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

$tan x = \pm \frac{1}{\sqrt{3}} = \pm \frac{\sqrt{3}}{3}$

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.

$x = \frac{\pi}{6}, \frac{5\pi}{6}, \frac{7\pi}{6}, \frac{11\pi}{6}$

3 0

2 years ago