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7nadin3 [17]
2 years ago
14

Find the x- and y-intercepts of the graph of the equation.

Mathematics
2 answers:
azamat2 years ago
6 0

Answer:

(18,0)

Step-by-step explanation:

Set y equal to zero

0=2/3x-12

12=2/3x

x=18, the x intercept is (18,0)

Butoxors [25]2 years ago
4 0

Answer:

x-intercept at (18, 0)

Step-by-step explanation:

to find x-intercept, set 'y' equal to zero and solve for 'x'

0 = 2/3x - 12

12 = 2/3x

2x = 36

x = 18

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A restaurant sells about 330 sandwiches each day at a price of $6 each $.25 decrease in price. 15 more sandwiches are sold per d
zmey [24]

Answer:

restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

Step-by-step explanation:

to calculate current revenue= $6 x 330 = $1980

suppose x as the number of times the price to be dropped by $0.25

then find new price.. i.e

new price= $(6-0.25x)

and, new sell=330 +15x sandwiches

therefore, the new revenue would be= (6-0.25x)(330 +15x)

in order to maximize the current revenue, simplify the above equation and make it complete square using x

(6-0.25x)(330 +15x)

=1980-82.5x +90x -3.75x^{2}

=1980 + 7.5x -3.75x^{2}

=1980-3.75 (-2x+x^{2}) ----> taking out common

now, to make a complete square lets add and subtract 1 inside the parentheses

=1980-3.75(-1+1-2x+x^{2})

=1980 +3.75 -3.75(x^{2} -2x +1)

=1983.75 -3.75 (x-1)^{2}---->(1)

as (x-1)^{2} is positive always, minimize the other term in order to maximize the total revenue.

so the minimum possible value of (x-1)^{2} = 0

therefore, x=1

putting x in eq(1) the revenure becomes,

$(1983.75-0)=> $1983.75

therefore, restaurant should charge $(6-0.25) = $5.75per sandwich to maximize daily revenue.

the revenue is $1983.75

3 0
3 years ago
Find the value of x.
Tatiana [17]

\large \mathfrak{Solution : }

The given pair of angles are vertical opposite angle pair so, they are equal. i.e

  • (x + 90)\degree = 4x\degree

  • (4x - x) \degree= 90\degree

  • 3x\degree = 90\degree

  • x\degree =  \dfrac{90\degree}{3\degree}

  • x\degree = 30\degree
8 0
3 years ago
Read 2 more answers
How much interest will be paid in 1 year for a loan of $3600 at 8 1/2% simple interest?
solong [7]
The answer to your question is 260,100
7 0
3 years ago
A tree leans such that it is not perpendicular to the ground. The distance between points A and B is 30 feet, and point A is 20
steposvetlana [31]
Answer:

h= 12.98 metres

Explanation:

The tree is leaning over so, the triangle is no longer right-angled.

3 0
3 years ago
Read 2 more answers
Sia weighs 4.5 kg more than raima. If their total weight is 140kg. find Sia's weight​
Simora [160]

74.5kg

Step-by-step explanation:

(140kg ÷ 2 = 70kg) 70kg - 4.5kg = 65.5 (65.5 is raima's weight) 70kg +4.5kg = 74.5kg (74.5kg is sia's weight)

8 0
2 years ago
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