3 years ago

Which answers describe the shape below? Check all that apply.

Mathematics

1 answer:

zloy xaker [14]3 years ago

5 0

Quadrilateral

Trapezoid

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Help! What is the average rate of change of f(x)=x^2+3x+6 over the interval -3 less-than-or-equal-to x less-than-or-equal-to 3?

Makovka662 [10]

Answer:

The average rate of change of the function over the interval is 5.

Step-by-step explanation:

Average rate of change of a function:

The average rate of change of a function f(x) over an interval [a,b] is given by:

$A = \frac{f(b)-f(a)}{b-a}$

Interval -3 less-than-or-equal-to x less-than-or-equal-to 3

This means that $a = -3, b = 3$

$f(x) = x^2 + 3x + 6$

$f(b) = f(3) = (3)^2 + 3(3) + 6 = 9 + 9 + 6 = 24$

$f(a) = f(-3) = (-3)^2 + 3(-3) + 6 = 9 - 9 + 6 = 6$

Average rate of change

$A = \frac{f(b)-f(a)}{b-a} = \frac{24+6}{3-(-3)} = \frac{30}{6} = 5$

The average rate of change of the function over the interval is 5.

8 0

3 years ago

renu is 2 times older than suman. Anita is 9 years older than suman and 6 years younger than renu. jif some of their ages is 69,

SashulF [63]

Answer:

suman is 15 and renu is 30 anita is 24

Step-by-step explanation:

15+30+24+69

3 0

4 years ago

Find the missing side length

Mashcka [7]

It’s not 3 or 4 so I think 2

7 0

3 years ago

Cos(x+y)/cos(x)sin(y)=cot(y)-tan(x)

zhuklara [117]

So there is an identity we'll need to use to solve this:

cos(x+y) = cosxcosy - sinxsiny

replace the numerator with the right hand side of that identity and we get:

(cosxcosy - sinxsiny)/cosxsiny

Separate the numerator into 2 fractions and we get:

cosxcosycosxsiny- sinxsiny/cosxsiny

the cosx's cancel on the left fraction, the siny's cancel on the right fraction and we're left with:

cosy/siny - sinx/cosx

which simplifies to:

coty - tanx

7 0

3 years ago

What is the relationship between decimals and fractions

umka2103 [35]

A fraction you are dividing while a decimal is considered as a number

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3 years ago