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vagabundo [1.1K]
3 years ago
5

Consider the graph of the function f(x) = 2(x + 3)2 + 2. Over which interval is the graph decreasing?

Mathematics
2 answers:
kondor19780726 [428]3 years ago
5 0
Y=2(x+3)^2+2

y=2(x^2+6x+9)+2

y=2x^2+12x+20

dy/dx=4x+12

The graph is decreasing when dy/dx, which is velocity, is less than zero so:

dy/dx<0 when:

4x+12<0

4x<-12

x<-3

So the graph is decreasing from x=(-oo, -3)
Bingel [31]3 years ago
5 0

The answer is A on EDGE

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The sun of the first number and twice the second number is 16. The second number is two more than the first number. What are the
Bingel [31]

7+9=16

Step-by-step explanation:

let us add the numbers step by step:

Just add the numbers like this [1+3,2+4,3+5,4+6,5+7,6+8,7+9…]

you get the answer 7+9=16

7 0
3 years ago
Tell whether the equation has one, zero, or infinitely many solutions.<br>2(x-1/2)=8+2x​
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Step-by-step explanation:

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A certain highway has a 7% grade. how many feet does it rise in a horizontal distance of 1 mile? (1 mile = 5280 feet. round your
pentagon [3]
For this case we have the following relationship:
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3 0
3 years ago
Explain how you change a decimal to a fraction. ​
maw [93]

Answer:

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenths place, so we place 6 over 10 to create the equivalent fraction, 6/10. If needed, simplify the fraction.

7 0
3 years ago
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What is vertex of x^2+5x-3
Art [367]

\text{The vertex of}\ ax^2+bx+c:\\\\(h,\ k),\ \text{where}\ h=\dfrac{-b}{2a};\ k=f(h)=\dfrac{-(-b^2-4ac)}{4a}

\text{We have:}\\f(x)=x^2+5x-3\\\\a=1,\ b=5,\ c=-3\\\\h=\dfrac{-5}{2\cdot1}=\dfrac{-5}{2}=-2.5\\\\k=f(-2.5)=(-2.5)^2+5(-2.5)-3=6.25-12.5-3=-9.25

\text{Answer: the vertex is in}\ (-2.5;\ -9.25)

6 0
3 years ago
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