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torisob [31]
3 years ago
6

Candy draws a square design with a side length of x inches for the window at the pet shop. She takes the design to the printer a

nd asks for a sign that has an area of 16x2 – 40x + 25 square inches.
Mathematics
1 answer:
umka21 [38]3 years ago
8 0

Answer:

\sqrt{16} = 4

\sqrt{25} = 5

16x^2 - 40x + 25

= (4x - 5)^2

Hope this helps!

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a magnifying glass makes objects appear 2.54 times largers than their actual size. How large does a 6-millimeter seed appear in
Mnenie [13.5K]

Answer:

15.24 millimeters

Step-by-step explanation:

6 * 2.54 = 15.24 mm.

7 0
1 year ago
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What is the slope of the line below?
icang [17]

Answer:

slope is 2

Step-by-step explanation:

8-2/4-2

3 0
2 years ago
Complete parts a through c for the given function.
victus00 [196]

Answer:

a. The critcal points are at

x=0,-5,3

b. Then, x = -5   is a maximum and x=3 is a minimum

c. The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

Step-by-step explanation:

(a)

Remember that you need to find the points where

f'(x)=0

Therefore you have to solve this equation.

20x^4  + 40x^3 - 300x^2 = 0

From that equation you can factor out    20x^2  and you would get

20x^2 (  x^2  +2x - 15)  = 0

And from that you would have   20x^2 = 0  , so x = 0.

And you would also have  x^2 +2x-15 = 0.

You can factor that equation as    x^2 +2x -15 = (x+5)(x-3) = 0

Therefore   x=-5 ,   x=3.

So the critcal points are at

x=0,-5,3

b.  

Remember that a function has a maximum at a critical point if the second derivative at that point is negative. Since

f''(x) = 80x^3 + 120x^2 -600x\\f''(-5) = 80(-5)^3 + 120(-5)^2 -600(-5) = -4000 < 0\\\\f''(3) = 80(3)^3 + 120(3)^2 -600(3) = 1440 > 0 \\

Then, x = -5   is a maximum and x=3 is a minimum

c.

The absolute minimum is at   x = 3  and the absolute maximum is at  x = -5.

6 0
3 years ago
Read 2 more answers
figure a is a scale image of figure b the scale image that maps figure a onto figure b is 1:7 1/4 enter the value of x
skad [1K]

Answer: x=21.75

Step-by-step explanation:

You need to convert from mixed number to decimal number.

In order to do this, you can follow the steps shown below:

1. You must divide the numerator of the fraction by the denominator of the fraction.

2. Now you must add the quotient obtained to the Whole number part.

Then, you get:

7\frac{1}{4}=7+0.25=7.25

Then, the scale image that maps "Figure A" onto "Figure B" is:

1:7.25

Finally, in order to find the value of "x", you need to multiply the given length of the corresponding side of "Figure A" by 7.25.

Therefore, the result is:

x=(3)(7.25)\\\\x=21.75

3 0
3 years ago
Find the solution of the system of equations 2x-4y=32 2x-8y=48
Sveta_85 [38]
<span>2x-4y=32
2x-8y=48
--------------subtract
4y = - 16
y  = -4

</span>2x-4y=32 
2x- 4(-4)=32 
2x + 16 = 32
2x = 16
x = 8

answer
(8, -4)
6 0
3 years ago
Read 2 more answers
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