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Marrrta [24]
2 years ago
8

A pizzeria charges $8 for a large cheese pizza, plus $2 for each topping. The total cost for a large pizza is given by the equat

ion C=2t+8, where t is the number of toppings. Graph the equation for t between 0 and 5 toppings, and explain the meaning of the slope and y-intercept.

Mathematics
2 answers:
Leni [432]2 years ago
7 0
Slope is the rise and run of a point on the graph to the other 
the y intercept is where a line crosses the y axis for example, (0,5) so 5 is the y intercept

(0,8), (1,10), (2, 12), (3, 14), (4, 16), (5, 18)
Elanso [62]2 years ago
6 0
<h2>Answer with explanation:</h2>

The total cost for a large pizza is given by the equation:

                            C=2t+8

where  t is the number of toppings.

Now, when t=0 we have:

         C=8

when t=1 we  have:

          C=10

when t=2 we have:

         C=12

when t=3 we have:

             C=14

when t=4 we have:

           C=16

when t=5 we have:

               C=18

i.e. the graph of this equation is the ordered pair:

  (0,8) , (1,10) , (2,12) , (3,14) , (4,16) and (5,18)

  • Now, the slope of this function means the cost of each topping.
  • and the y-intercept represents the cost of the pizza when there are no toppings.

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What is 4 square root of 81 to the fifth power in exponential form
creativ13 [48]

Answer:

B is the answer.

Step-by-step explanation:

x^{\frac{m}{n} }  = \sqrt[n]{x^{m} }  

\sqrt[4]{81^{5} } =  81^{\frac{5}{4} }

5 0
2 years ago
A sphere has a diameter of 14 ft. Which equation finds the volume of the sphere?
aev [14]

Answer:

The volume of the sphere is 1436 in³

The equation is    

V = ⁴⁄₃ * 3.14 * (7ft)³

Step-by-step explanation:

radius = half of diameter

d = 14ft

r = 14ft / 2 = 7ft

To calculate the volume of a sphere we have to use the following formula:

V = volume

r = radius  = 7ft

π = 3.14

V = ⁴⁄₃πr³

we replace with the known values

V = ⁴⁄₃ * 3.14 * (7ft)³

V = 4.187 * 343 in³

V = 1436 in³

The volume of the sphere is 1436 in³

6 0
2 years ago
After simplifying, which expressions are equivalent? Select three options.
Wewaii [24]

Answer: Second option, third option and fifth option.

Step-by-step explanation:

In order to solve this exercise it is important to remember the multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

Knowing that, you can distribute the sign and add the like terms. Repeat this procedure in each expression given in the exercise.

Therefore, you get:

a.\ (3.4a - 1.7b) + (2.5a - 3.9b)=3.4a - 1.7b + 2.5a - 3.9b=5.9a-5.6b\\\\b.\ (2.5a + 1.6b) + (3.4a + 4b)=2.5a + 1.6b + 3.4a + 4b=5.9a+5.6b\\\\c.\ (-3.9b + a) + (-1.7b + 4.9a)=-3.9b + a -1.7b + 4.9a=5.9a-5.6b\\\\d.\ -0.4b +(6b - 5.9a)=-0.4b +6b - 5.9a=6b-6.3a\\\\e.\ 5.9a - 5.6b

You can identify that the expressions  (2.5a + 1.6b) + (3.4a + 4b), (-3.9b + a) + (-1.7b + 4.9a) and 5.9a - 5.6b are equivalent after simplifying.

6 0
2 years ago
Read 2 more answers
A giraffe measures 17 feet tall . A gorilla mesures 63 inches tall. How many feet taller is the giraffe than the gorilla
9966 [12]

Answer:

11.75 feet

Step-by-step explanation:

17 times 12 = 204 inches

204 - 63 = 141 inches

141/12 = 11.75 feet

4 0
2 years ago
Point AAA is at {(6,1)}(6,1)left parenthesis, 6, comma, 1, right parenthesis and point CCC is at {(2,-7)}(2,−7)left parenthesis,
pychu [463]

Answer:

The coordinates of B is (3, - 5)

Step-by-step explanation:

A(6, 1)

C(2, -7)

Coordinates of point B such that AB = 1/3 × BC

Hence we have;

AC = AB + BC = BC + \dfrac{1}{3} \times BC =  \dfrac{4}{3} \times BC

Therefore BC = 3/4 × AC

Hence, AB = 1/3 × BC = 1/3 × 3/4 × AC = 1/4 × AC

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AB = 1/4 × 4·√5 = √5

Therefore;

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Slope = (1 - (-7))/(6 - 2) = 2

Hence the y coordinate of B = -7 + sin(tan⁻¹(2)) ×√5 = -5

The x coordinate of B = 2 + cos(tan⁻¹(2)) ×√5 = 3

The coordinates of B = (3, - 5)

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2 years ago
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