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3 years ago

Which is smaller? A. 0.1456 B. 0.0321

2 answers:

7 0

It should be answer B. With 0.0321 there is a zero both before and after the decimal, while answer A only has one before the decimal.

andrey2020 [161]3 years ago

5 0

B is smaller.
Look in the tenths place, A has a 1 and B has a 0.
Which number is greater? 1 is greater than 0.
Also, A has one tenth while B has a fraction of a tenth.
So, B. 0.0321 is smaller.

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Find the maximum value or minimum value for the function f(x) = 0.15(x + 1)² - 3.

il63 [147K]

Answer:

The minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

Step-by-step explanation:

Given function is $f(x) = 0.15(x + 1)^2 - 3$

We need to find the maximum value or the minimum value for the function.

Now, differentiate $f(x) = 0.15(x + 1)^2 - 3$ w.r.t $x$ .

$f'(x) =\frac{d}{dx}(0.15(x + 1)^2 - 3)\\f'(x)=\frac{d}{dx}(0.15(x+1)^2-\frac{d}{dx}(3)\\$

$f'(x)=2\times 0.15(x+1)\frac{d}{dx}(x+1)-0\\f'(x)=0.3(x+1)(1)\\f'(x)=0.3(x+1)$

Now, we will equate $f'(x)=0$ to find critical point.

$0.3(x+1)=0\\x=-1$

Plug this critical point in to the function $f(x) = 0.15(x + 1)^2 - 3$ we get,

$f(-1) = 0.15(-1 + 1)^2 - 3\\f(-1)=-3$

Also, $f''(x)=0.3$ which is positive, We have minimum value.

So, the minimum value for $f(x) = 0.15(x + 1)^2 - 3$ is $-3$ .

7 0

4 years ago

The polynomial 6x2 + 37x – 60 represents an integer. Which expressions represent integer factors of 6x2 + 37x – 60 for all value

Temka [501]

6x^2 + 37x - 60 = 6x^2 - 8x + 45x - 60 = 2x(3x - 4) + 15(3x - 4) = (3x - 4)(2x + 15)

8 0

3 years ago

Read 2 more answers

What is the area of this composite shape?

NNADVOKAT [17]

Area of rectangle = 6 x 7 = 42
area of triangle = 1/2(3)(6) = 9

area of figure = 42 + 9 = 51

answer
51 <span>in²</span>

7 0

3 years ago

At noon, Bradley began steadily increasing the

barxatty [35]

Answer:

25.5 mph

Step-by-step explanation:

So Bradley's speed can be modeled by the equation y=2x+40 where y=speed, x=time in hours after noon, and b=initial speed

So 12:15 is 15 minutes after noon, which is also 0.25 or 1/4 of an hour after noon. This is the x-value. Plug this into the equation to get his speed at 12:15

y=2(0.25)+40

y=0.5+40

y=40.5

So his speed was 40.5 at the time and since he was going 15 miles over the speed limit, the speed limit is 15 less than his speed

40.5 - 15 = 25.5

8 0

2 years ago

Read 2 more answers

Help me please !!!!!

Anuta_ua [19.1K]

You are correct!

90 would be the correct choice, here is why:

use the eqation: $20*30*15%

first times $20*30=600

now, 600 *15%= $90

therefore, your answer is 90 dollars

5 0

4 years ago