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My name is Ann [436]
3 years ago
8

The number of portable widgets produced weekly by Widget, Inc., is related to the weekly profit in the way:

Mathematics
1 answer:
mixer [17]3 years ago
3 0

9514 1404 393

Answer:

  • 22 widgets
  • $58,400

Step-by-step explanation:

The turning point (maximum or minimum) of quadratic function ...

  f(x) = ax² +bx +c

is at x = -b/(2a).

Here, this means the maximum profit will be had when the number of widgets produced weekly is ...

  x = -88/(2(-2)) = 22

The profit at that level of production is ...

  P(22) = (-2·22 +88)(22) -384 = 44(22) -384 = 968 -384 = 584 . . . hundreds

22 widgets must be produced weekly for the maximum weekly profit of $58,400.

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Log3 (x squared + 7x + 21) = 2
Nezavi [6.7K]

Step-by-step explanation:

log <base a> b = x

means

a^x = b

So

3^2 = x^2+7x+21

x^2 + 7x + 21 - 9 = 0

x^2 + 7x + 12 = 0

(x+3)(x+4)

x = -3 or -4

3 0
3 years ago
PLEASE HELP!!<br> • Which of these are equivalent to -11/4 ? Choose ALL that apply.
weeeeeb [17]

Answer: -11 divided by 4 , 11 divided by -4 , -11/4 , 11/-4 ,

Step-by-step explanation:

I got it right on iready

5 0
3 years ago
The image of the point (-6, -2) under a translation is (-4,2). Find the coordinates of the image of the point (-3, 4) under the
QveST [7]

ANSWER

(-1, 8)

EXPLANATION

First we have to find the rule for this translation.

The image of the x-coordinate of the given point is 2 untis more than the point, so the rule for the horizontal translation is to add 2.

The image of the y-coordinate of the given point is 4 units more than the point, so the rule for the vertical translation is to add 4:

(x,y)\rightarrow(x+2,y+4)

Therefore, the image of point (-3, 4) under the same translation is:

(-3,4)\rightarrow(-3+2,4+4)=(-1,8)

4 0
1 year ago
How do I solve : COT pi/4 ...?
Wewaii [24]
Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
3 0
3 years ago
What is the division algorithm for 7 and 192?
Mandarinka [93]

Answer:

We have a formula for division algorithm  a= bq+r            (1)

a is the greatest integer between the two given integers

And b is the other integer

q is the quotient

r is the remainder

here we have a=192 and b=7  substituting values in equation (1) we get

192 = 27 *7 + 3                       (2)

now  substitute quotient from equation (2)  in place  of a  that is a=27  and remainder  in place of b that is b =3 in equation as below

27= 9*3 +0

we will proceed till we get remainder zero.


8 0
3 years ago
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