In the function f(x) = 4(x2 − 6x + ____) + 20, what number belongs in the blank to complete the square? Numerical Answers Expected! Answer for Blank 1:

Answers

Answer 1
Answer: (x² -  6x +...) 
a² - 2ab + b²

[1x
² + 2* 1 *(-3) + (-3)²]

coefficient b trójmianu square of the product of the coefficients a and b and number 2

canonical form of the function
f(x) = 4 * (x - 3)² + 20

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WILL MARK BRAINLIEST!!!!!!f(x) = x2 + 3; g(x) = Square root of quantity x minus two.

Find f(g(x)).

f(g(x)) = (x2 + 3)(Square root of quantity x minus two.)
f(g(x)) = Square root of quantity x minus two divided by quantity x squared plus three.
f(g(x)) = x + 1
f(g(x)) = Square root of quantity x squared plus three.

Answers

Answer:

The correct option is 3.

Step-by-step explanation:

The given functions are

f(x)=x^2+3

g(x)=√(x-2)

We need to find the value of f(g(x)).

f(g(x))=f(√(x-2))            [\because f(x)=x^2+3]          .... (1)

Substitute x=√(x-2) in function f(x) to find the value of f(√(x-2)).

f(√(x-2))=(√(x-2))^2+3

f(√(x-2))=x-2+3

f(√(x-2))=x+1

Substitute the value of f(√(x-2)) in equation (1).

f(g(x))=x+1

Therefore, the correct option is 3.

f(x) = x^2 + 3
g(x) = sqrt(x - 2)

f(g(x)) = x - 2 + 3 = x + 1

timmy has 180 marbles, some plain and some colored. if there are 32 plain more marbles than colored, how many colored marbles does he have?

Answers

180=x+x+32 180 is equal to x(amount of colored marbles) plus x+32 (amount of plain marbles)
180=2x+32
-32+180=2x
148/2=x
74=x

74 colored marbles and 106 plain
74   (180 - 32) / 2 because if there are 32 more than the other part, it is n + (n+32)

3. Polygon ABCDE is congruent to polygon TVSRK. EAB corresponds to _____.

Answers

Answer: The answer is (A) ∠T.

Step-by-step explanation:  Given that the polygon ABCDE is congruent to the polygon TVSRK. We are to find the corresponding angle of ∠EAB.

In the two polygons, the corresponding vertices are

A ⇒ T

B ⇒ V

C ⇒ S

D ⇒ R

E ⇒ K.

Therefore, ∠EAB, which is ∠A will correspond to ∠T.

Thus, the correct option is (A) ∠T.

The answer is T

A is in the same place as T

45 + 35n = 45 + 40n what is n?

Answers

Subtract 45 on both sides

35n = 40n

Divide n on both sides

35 = 40

This is obviously false, which means that this equation has no solution.

But wait! n = 0 is a solution.

35(0) = 40(0)
0 = 0
subtract both sides from 45 
45+35n-45=45+40n-45
35n=40n
n=0

Help! Simplify (see photo) pls explain
If you don’t know pls don’t answer thanks

Answers

Answer:

-8 √(6)

Step-by-step explanation:

4i√(-24) \n4i√(-1) *√(24) \n4i*i*√(4)*√(6)\n-4 * 2*√(6) \n-8 √(6)

.

√(-1) =i \ni*i = -1

A boy leaves on a bicycle trip at the rate of 8 mph. One hour later the father, realizing that his son forgot his camping gear, sets out by car. How fast must the father drive to overtake the boy in 15 minutes?

Answers

Speed of father is 40 mph

Given that;

Speed of boy on bicycle = 8 mph

Total time taken by father = 15 min = 0.25 hour

Find:

Speed of father

Computation:

Distance = Speed × Time

So,

Boy's cover distance = Father's cover distance

[(Speed of boy on bicycle)(Time taken by boy)] = [(Speed of father)(Time taken by father)]

[(8)(1 + 0.25)] = [(Speed of father)(0.25)]

[(8)(1.25)] = [(Speed of father)(0.25)]

Speed of father = 10 / 0.25

Speed of father = 40 mph

Learn more:

brainly.com/question/23774048?referrer=searchResults

  1st equation to find out how far boy will have traveled in 1hr 15 minutes:

8/1=x/1.25 (8 miles over 1 hour = x miles over 1.25 hours)
8(1.25) = 1(x)
10 = x

Now, divide 10 by .25 (15 minutes aka 1/4 hour) to get the speed father will have to drive.

10/.25 = x/1

x = 40 MPH