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Furkat [3]
3 years ago
5

The graph of f "(x) is continuous and decreasing with an x-intercept at x = 0. Which of the following statements is true?

Mathematics
1 answer:
kari74 [83]3 years ago
7 0

Answer:

The graph of f has an inflection point at x = 0.

Step-by-step explanation:

An inflection point occurs when the second derivative changes signs.  Since f"(x) is decreasing and has an x-intercept at 0, it changes signs from + to -, so there is an inflection point at x = 0.

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2. Quadrilateral ABCD is inscribed in a circle. Find the measure of each of the angles of the quadrilateral. Show your work
Nostrana [21]
On this picture is shown a quadrilateral inscribed in a circle and by the Inscribed Quadrilateral Theorem the angles on the opposite vertices are supplementary, or in other words are equals to 180 degrees. 

On this exercise it is asked to find the measure of angle B, First of all, you need to find the value of x. To so you have to select two opposite angles on this case angles A and C.

m<A+m<C=180      Substitute the given values for angles A and C
    x+2+x-2=180       Combine like terms
             2x=180       Divide by 2 in both sides to isolate x
               x=90

Now, that the value of x is known you can substitute it in the expression representing angle D, and then subtract that number from 180 to find the measure of angle B.

m<D=x-10             Substitute the value of x
m<D=90-10           Combine like terms
m<D=80

m<B=180-m<D       Substitute the value of angle D
m<B=180-80           Combine like terms 
m<B=100

The measure of angle B is 100 degrees, and the value of x is 90.
7 0
3 years ago
41) Gabriella invests $8,193 in a retirement
nataly862011 [7]

Answer:

Option C. \$34,252.67  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=18\ years\\ P=\$8,193\\ r=0.08\\n=6  

substitute in the formula above  

A=\$8,193(1+\frac{0.08}{6})^{6*18}=\$34,252.67  

4 0
3 years ago
The monthly income of a government servant is Rs 77,280 and he gets the festival expense of one month's salary, what is his taxa
kifflom [539]

I don't think this question is complete but here's ur answer

5 0
2 years ago
Robert believes that the lengths 8 in, 13 in, and 20 in will form a triangle. Is he correct?
adell [148]

Answer: I think it’s D

Step-by-step explanation:

it’s because 8^2 + 13^2 equals 233 and when square rooted equals 15.26 not 20 so no.

7 0
2 years ago
Urgent. Will give brainliest and 20 points!!
insens350 [35]
If you begin with the basic equation of a vertical parabola:  y-k=a(x-h)^2, where (h,k) is the vertex, then that equation, when the vertex is (-3,-2), is 

y + 2 = a (x + 3)^2.  If we solve this for y, we get

y        = a(x+3)^2 - 2.  Thus, eliminate answers A and D.  That leaves B, since B correctly shows (x+3)^2.
8 0
3 years ago
Read 2 more answers
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