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stich3 [128]
2 years ago
14

50 POINTS PLZ HELP NEED THIS DONE ASAP

Mathematics
1 answer:
solmaris [256]2 years ago
8 0

Answer-

the standard form of the function is,

f(x)=-\frac{1}{2}x^2+6x+45

<u>Solution-</u>

The standard form of the function is,

f(x)=ax^2+bx+c

Taking the points as (0, 45), (2, 55), (4, 61)

Then putting (0, 45) in the equation,

\Rightarrow 45=a(0)^2+b(0)+c\\\\\Rightarrow c=45

Then putting (2, 55) with the value of c in the equation,

\Rightarrow 55=a(2)^2+b(2)+45

\Rightarrow 4a+2b=10 -------1

Then putting (4, 61) with the value of c in the equation,

\Rightarrow 61=a(4)^2+b(4)+45

\Rightarrow 16a+4b=16 ------ 2

Solving equation 1 and 2, we get,

\Rightarrow a=-\frac{1}{2},\ b=6

Putting the values of a, b, c in the standard form,

f(x)=-\frac{1}{2}x^2+6x+45


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A high school football pennant is in the shape of an isosceles triangle. The base is 18 inches long. The sides meet at an angle
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Answer:

The length of each side is 26.3 cm

Step-by-step explanation:

Opposite sides of an isoceles triangle are equal

The isoceles triangle is divided into 2 right-angled triangles so the length of one side can be calculated using trigonometric ratio

When the isoceles triangle is divided, the angle in the right-angled triangle is 20° (1/2 of 40°) and the base is 9cm (1/2 of 18 cm), the hypotenuse side is calculated using trigonometric ratio

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3 years ago
Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what
Citrus2011 [14]

<em>The complete exercise with the answer options is as follows:</em>

Mancini's Pizzeria sells four types of pizza crust. Last week, the owner tracked the number sold of each type, and this is what he found.

Type of Crust Number Sold

Thin crust            364

Thick crust             240

Stuffed crust             176

Pan style            260

Based on this information, of the next 3000 pizzas he sells, how many should he expect to be thick crust? Round your answer to the nearest whole number. Do not round any intermediate calculations.

Answer:

692 thick crust pizzas

Step-by-step explanation:

With the data given in the exercise, we must first find the total number of pizzas, then we must find the proportion between the thick crust pizzas and the total number of pizzas, finally we must propose a rule of three to find the new proportion of crust pizzas thick on a total of 3000 pizzas.

Type of Crust Number Sold

Thin crust            364

Thick crust             240

Stuffed crust             176

Pan style            260

total pizzas  : 1040

Now we must calculate for 3000 pizzas how much would be the total of thick crust pizzas.For that we must use the relationship found, that is, in 1040 pizzas there are 240 thick crust pizzas

1040→240

3000→x

x= \frac{3000x240}{1040} = 692

Now we have a new proportion that out of 3000 pizzas there are a total of 692 thick crust pizzas

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