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2 years ago

G(x)=4x^2+9x ; find g(3x)

Mathematics

1 answer:

Yuliya22 [10]2 years ago

4 0

Answer:

12xto the 3 + 27x squared

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Burka [1]

Answer:

19,27 cm^2

Step-by-step explanation:

area of triangle = (6 x 3)/ 2 = 9 cm^2

circle area : 3^2 x 3,14 = 28,27 cm^2

area of shaped region = 28,27 - 9 = 19,27 cm^2

6 0

3 years ago

The number of electoral votes each state is assigned is determined by the size of its population every ten years. The chart show

sattari [20]

Answer:

D. $Q_3=47$

Step-by-step explanation:

We have been given a table that represents the the number of electoral votes California was assigned each decade of the past century. We are asked to find the 3rd quartile of our given data.

The number of votes are: 9, 13, 13, 22, 25, 32, 40, 45, 47, 54, 55.

We will use upper quartile formula to solve our given problem.

$Q_3=\frac{3}{4}*(n+1)^{\text{th term}}$ , where, n represents the number of elements in the data set.

We can see that our data set has 11 data points, so upon substituting n=11 in above formula we will get,

$Q_3=\frac{3}{4}*(11+1)^{\text{th term}}$

$Q_3=\frac{3}{4}*(12)^{\text{th term}}$

$Q_3=3*3^{\text{th term}}$

$Q_3=9^{\text{th term}}$

Now let us count 9th term of our data set. Upon counting our data set from left to right we can see that 9th term of our data set is 47, therefore, 3rd quartile of our given data is 47 and option D is the correct choice.

3 0

3 years ago

Read 2 more answers

Which of the following is true about the expression 3 Squared times 12 squared

ololo11 [35]

Answer:

Step-by-step explanation:

the expression would look like this: 3^2 x 12^2

3 squared is 9 (3 x 3)

12 squared is 144 (12 x 12)

3 0

3 years ago

If f(x) = 2x−5, then what is the value of f(2) + f(5)

DochEvi [55]

First of all f(2)=2(2)-5=-1 and f(5)=2(5)-5=5
so
f(2)+f(3)=-1+5=4

7 0

3 years ago

The height of a triangle is 12 centimeters more than its base. The area of the triangle is 189 square centimeters Find the base

telo118 [61]

Answer:

Step-by-step explanation:

the area of a triangle is

baseline × height / 2

so, we know in our case

b(b+12) = 189 cm²

b² + 12b - 189 = 0

let's try to solve this by completing the square.

that means we try to find the expression

(b + k)² + c

that is equal to

b² + 12b - 189

(b + k)² + c = b² + 2kb + k² + c = b² + 12b - 189

so,

2k = 12

k = 6

and then

k² + c = -189

6² + c = -189

36 + c = -189

c = -225

(b + 6)² - 225 = 0

(b + 6)² = 225

b + 6 = 15

b = 9

so, the baseline b = 9 cm.

the height b+12 = 9+12 = 21 cm.

6 0

2 years ago