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3 years ago

HELP 50 POINTS!!!!

Mathematics

2 answers:

zhuklara [117]3 years ago

7 0

The minimum cost y = $78. 

 
x = 12 cakes to yield minimum cost.

motikmotik3 years ago

7 0

1) y = 0.5x^2 - 12x + 150 axis of symmetry x = -b/(2a) x = 12/1 = 12 y = 0.5(x^2 - 24x + 144) - 72 + 150 y = 0.5(x - 12)^2 + 78 vertex = (12, 78) 2) The vertex is the minimum point, and the minimum cost y = $78. 3) x = 12 cakes to yield minimum cost.

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1.) Use the quadratic formula to solve the equation. If necessary, round to the nearest hundredth .x squared minus 21 x equals n

Andrew [12]

Part 1
We are given $x^2-21x=-4x$ . This can be rewritten as $x^2-18x=0$ .
Therefore, a=1, b=-18, c=0.
Using the quadratic formula
$x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}=\frac{-\left(-18\right)\pm \sqrt{\left(-18\right)^2-4\left(1\right)\left(0\right)}}{2\left(1\right)}$
$x=\frac{18\pm 18}{2}$

The values of x are
$x_1=\frac{18-18}{2}=0$
$x_2=\frac{18+18}{2}=18$

Part 2
Since the values of y change drastically for every equal interval of x, the function cannot be linear. Therefore, the kind of function that best suits the given pairs is a quadratic function.

Part 3.
The first equation is $y=x^2+2$ .
The second equation is $y=3x+20$ .

We have
$x^2+2=3x+20$
$x^2-3x-18=0$
Factoring, we have
$\left(x-6\right)\left(x+3\right)=0$
Equating both factors to zero.
$x_1-6=0\rightarrow x_1=6$
$x_2+3=0\rightarrow x_2=-3$

When the value of x is 6, the value of y is
$y=3\left(6\right)+20=38$

When the value of x is -3, the value of y is
$y=3\left(-3\right)+20=11$

Therefore, the solutions are (6,38) or (-3,11)

7 0

2 years ago

A survey of one class at Pioneer Middle School found that 20 out of 30 students would spend $12 for a school t-shirt Suppose the

Virty [35]

$\frac{20}{30} = \frac{x}{600}$
600/30=20.
20*20=400.
Your answer is 400.

4 0

3 years ago

Read 2 more answers

PLEASE PLEASE HELP the question is below

zmey [24]

Answer:

D)90

Step-by-step explanation:

First you work out 3^4 which is 81.

Then add 9 to it and it becomes 90.

5 0

2 years ago

Read 2 more answers

A 3-pound bag of bananas costs $2.88. What is the price per ounce?

Alborosie

Answer: 6 cents

Step-by-step explanation:

1 pound = 16 ounces

3 pounds = 48 ounces

2.88 ÷ 48 = 0.06

0.06 = 6 cents.

One ounce of bananas cost 6 cents.

Hope this helps!

4 0

2 years ago

Factor completely 81x8 − 1. (9x4 − 1)(9x4 1) (3x2 − 1)(3x2 1)(9x4 − 1) (3x2 − 1)(3x2 1)(9x4 1) (3x2 − 1)(3x2 1)(3x2 1)(3x2 1).

mojhsa [17]

Answer:

(3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

Step-by-step explanation:

Using the identity for the difference of 2 squares;

a^2 - b^2 = (a - b)(a + b)

we put a^2 = 81x^8 and b^2 = 1 giving

a = 9x^4 and b = 1, so:

81x^8 − 1 = (9x^4 - 1)(9x^4 + 1)

Applying the difference of 2 squares to 9x^4 - 1:

= (3x^2 - 1)(3x^2 + 1)(9x^4 + 1).

4 0

1 year ago