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3 years ago

How would you solve #2 and #3?

Mathematics

1 answer:

Pani-rosa [81]3 years ago

6 0

Connect the dots to each other

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Consider the original triangle and its enlargement.

Trava [24]

Answer:

I believe the scale factor is 2.

7 0

3 years ago

Read 2 more answers

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−2).

kap26 [50]

Let g(x) = 2x and h(x) = x2 + 4. Evaluate (h ∘ g)(−2).

A. −12

the corrects answer is B. −16

C. 20

D. 16

7 0

3 years ago

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Find the average value of f over the region D. f(x, y) = 3xy, D is the triangle with vertices (0, 0), (1, 0), and (1, 9)

MakcuM [25]

The average value of f over the region D is 243/4

To answer the question, we need to know what the average value of a function is

<h3>What is the average value of a function?</h3>

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

$\frac{1}{b - a} \int\limits^b_a {f(x)} \, dx$

Now, given that we require the average value of f(x,y) = 3xy over the region D where D is the triangle with vertices (0, 0), (1, 0), and (1, 9).

x is intergrated from x = 0 to 1 and the interval is [0,1] and y is integrated from y = 0 to y = 9

So, $\frac{1}{b - a} \int\limits^b_a {f(x,y)} \, dA = \frac{1}{1 - 0} \int\limits^1_0 \int\limits^9_0 {3xy} \, dxdy \\= \frac{3}{1} \int\limits^1_0 {x} \,dx\int\limits^9_0 {y} \,dy\\ = \frac{3}{1} [\frac{x^{2} }{2} ]^{1}_{0}[\frac{y^{2} }{2} ]^{9}_{0} \\= 3[\frac{1^{2} }{2} - \frac{0^{2}}{2} ] [\frac{9^{2} }{2} - \frac{0^{2}}{2} ] \\= 3[\frac{1}{2} - 0 ][\frac{81}{2} - 0 ]\\= \frac{81}{2} X3 X \frac{1}{2} \\= \frac{243}{4}$

So, the average value of f over the region D is 243/4

Learn more about average value of a function here:

brainly.com/question/15870615

#SPJ1

8 0

2 years ago

X 2 4 8 10 16 Y12 45 09 Oy= 2 x Oy=1 x O y=x-1 Oy=x+2

MrRa [10]

Answer:

y = x ÷ 2

Step-by-step explanation:

We are given a table of values, which will be represented as ordered pairs (x,y) below:

(2,1) (4,2) (8,4) (10,5) (16,8)

We are required to select one of the functions that match the numeric relationship between x and y.

We could test them one by one, but at simple observation, we can note the values of y are half of the values of x:

2/2=1

4/2=2

And so on. Thus the only function that divides the value of x by 2 to find the value of y is:

y = x ÷ 2

6 0

3 years ago

A cookie recipe calls for 4.5 cups of flour, makes 3 dozen cookies. How much flour is needed to make 6 dozen cookies?

joja [24]

Answer:

9 cups

Step-by-step explanation:

3 dozen of cookies : 4,5 cups

6 dozen : more

--- × 4,5 = 9 cups

5 0

3 years ago