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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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What’s the equation for (8,2)(0,0)
Kay [80]

Answer: y=4x

Step-by-step explanation:

We will make use of the slope intercept form to solve this question:

First of all, we have to calculate the slope from the 2 points (8,2) and (0,0).

We know that the formula for the slope is: m = (y2 - y1) / (x2 - x1)

From the question, y2 = 0, y1 =2, x1 =8 and x2 = 0.

Therefore, slope (m) = (0 - 2)/(0 - 8)

This gives us m = 2/8 and simplified further to 1/4.

The slope intercept form of the equation is y = mx + c where "m" is the slope.

Therefore substituting the value of 1/4 for "m" in the equation, we get;

y = (x/4) + c

Now to get the value of "c",let's substitute the value of x and y from the first intercept of (8,2).

We get; 2 = (8/4) + c

; 2 = 2 + c

Subtract 2 from both sides to get c = 0.

Also, when we use the value of x and y from the second intercept (0,0), we get the same value of c=0

Therefore the equation for the 2 points are y = 4x + 0 which gives y=4x

4 0
3 years ago
Solve for all values of x by factoring.<br> x^2 + 4x – 30 = -3x
vichka [17]

Answer:

{x}^{2}  + 4x - 30 =  - 3x \\{x}^{2}  + 7x - 30 = 0 \\  {x}^{2}  - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\  \boxed{x = 3} \\  \boxed{x =  - 10}

<h3><em><u>x=3 or x=-10</u></em> is the right answer.</h3>

7 0
3 years ago
3(-0.4n-0.7)=-3.2n-2.58
svlad2 [7]

Answer:

n=-0.24

Step-by-step explanation:

3\left(-0.4n-0.7\right)=-3.2n-2.58

Use distributive property.

-1.2n-2.1=-3.2n-2.58

-1.2n-2.1+2.1=-3.2n-2.58+2.1

-1.2n=-3.2n-0.48

-1.2n+3.2n=-3.2n-0.48+3.2n

2n=-0.48

\frac{2n}{2}=\frac{-0.48}{2}

n=-0.24

3 0
3 years ago
Chicago, Illinois has an elevation of 600 feet. Seely, California is -200 feet. What does 0 represent in the context of this sit
tatyana61 [14]

Answer:

Sea level

Step-by-step explanation:

In geography, 'Elevation' is measured in relation to sea level, so sea level would be zero.

Thus, Chicago is 600 feet above sea level and Seely, California is 200 feet below sea level.

If there were nothing but flat land all the way from Seely to the ocean, sea water would come in and cover Seely. Fortunately for the people in Seely. California's coastal mountain range is between the town and the ocean, so that does not happen.

3 0
3 years ago
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You need help with geometry ?
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