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lutik1710 [3]
3 years ago
12

Given the function f(x) = -x^2 +7x + 6, find the interval(s) in which f(x) is decreasing.

Mathematics
1 answer:
Alisiya [41]3 years ago
6 0

Answer:

Step-by-step explanation:

f'(x)=-2x+7

f(x) is decreasing if '(x)<0

so -2x+7<0

or 7<2x

or 2x>7

or x>7/2

including end points f(x) is decreasing in [3/2,∞)

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Point E is between points D and F and DE=27 and EF =34.
asambeis [7]
If e is between them, then the distances DE and EF add to the total, DF. So the answer is just 27 + 34 which is 61, A

4 0
3 years ago
A right angled triangle has sides of length 9cm, 12cm and 15cm. Calculate its area in square centimetres.
Dmitriy789 [7]

The area of a right angled triangle with sides of length 9cm, 12cm and 15cm in square centimeters is 54 sq cm.

The formula to calculate the area of a right triangle is given by:

Area of Right Triangle, A = (½) × b × h square units

Where, “b” is the base (adjacent side) and “h” is the height (perpendicular side). Hence, the area of the right triangle is the product of base and height and then divide the product by 2.

We know that the hypotenuse is the longest side. So, the area of a right angled triangle will be half of the product of the remaining two sides.

Given sides of the triangle:

a=9cm

b=12cm

c=15cm

From this we know that the hypotenuse is c. Are of the triangle will be obtained by the other two sides.

∴Area = \frac{1}{2} x 9 x 12

= 54cm^{2}

5 0
1 year ago
Convert 7/8 to a decimal Then determine if the decimal is terminating or repeating
Black_prince [1.1K]

Answer:

0.875 = 7/8 and it is terminating

Step-by-step explanation:

4 0
3 years ago
Find the equation of the straight line that passes through points (-1; -2) and (3; 4)
Leya [2.2K]
Y=mx+b is our base equation

m=slope, so let's find that first:
m= change in y/change in x
So between the points (-1,-2) and (3,4),
The y values, -2 and 4, have a difference of 6. The x values, -1 and 3, have a difference of 4. This makes our slope 6/4 (or 3/2 simplified)

Now our equation is
Y=3/2x + b

We still need to find b
To find b, we can substitute a point given to us. Let's use (3,4) just to avoid negatives.

4=3/2(3) + b
Multiply
4=9/2 + b
Subtract 9/2 from both sides
-1/2=b

Now let's put it all back together!

Y=3/2x-1/2 Is the answer.

I hope this Helps!


6 0
3 years ago
A movie theater uses a cone-shaped container to serve popcorn. The cone has a height of 12 inches and a volume of 16 π in2. What
zimovet [89]

Volume can be defined as the <u><em>capacity of a given container or a certain object.</em></u>

The radius of the cone is 2 inches.

From the question, we are given the following parameters:

<em>The height of the cone = 12 inches</em>

<em>The volume of the cone =  16 π in³</em>

The formula to find the<u> radius of the cone </u>is given as:

√3V/πh

= √ 3 x 16π / π x 12

= 2 inches

Therefore, the radius of the cone is 2 inches.

To learn more, visit the link below:

brainly.com/question/25107622

6 0
2 years ago
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