MATHEMATICS HIGH SCHOOL

Consider the quadratic function f(x) = x2 – 5x + 6.What are the values of the coefficients and constant in the function?
A=
b =
C=

Answers

Answer 1

Answer:

Hey there! :)

Answer:

a = 1

b = -5

c = 6.

Step-by-step explanation:

Recall that in standard form, the coefficients of a quadratic equation are:

f(x)= ax² + bx + c

In the given equation, we can identity the coefficients:

f(x) = (1)x² - 5x + 6

a = 1

b = -5

c = 6.

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If f(x)=log2(x+4), what is f^-1(3)?

Answers

$f\left( x \right) =\log _( 2 ){ \left( x+4 \right) } \n \n \log _( 2 ){ \left( x+4 \right) } =y\n \n { 2 }^( y )=x+4$

$\n \n x={ 2 }^( y )-4\n \n \therefore \quad { f }^( -1 )\left( x \right) ={ 2 }^( x )-4\n \n \therefore \quad { f }^( -1 )\left( 3 \right) ={ 2 }^( 3 )-4=4$

The value of f^-1(3) is 4

What are inverse functions?

The inverse of a function f(x) is the opposite of the function

How to determine the inverse function?

The functionf(x)is given as:

$f(x) = log_2(x + 4)$

Express f(x) as y

$y = log_2(x + 4)$

Swap the positionsof x and y

$x = log_2(y + 4)$

Express as exponents

$2^x = y + 4$

Make y the subject

$y = 2^x - 4$

Express the equationsas an inverse function

$f^(-1)(x) = 2^x - 4$

Substitute 3 for x in the above equation

$f^(-1)(3) = 2^3 - 4$

Evaluate

$f^(-1)(3) = 4$

Hence, the value of f^-1(3) is 4

Read more about inverse functions at:

brainly.com/question/14391067

#SPJ5

Multiply. Write your answer in simplest form.

2 1/2 x 3 2/3

Answers

$2 (1)/(2) * 3 (2)/(3) = (5)/(2) * (11)/(3)$
= $(55)/(6)$
= $9 (1)/(6)$

Answer:

9^1/6

Step-by-step explanation:

Cho số phức z thỏa mãn 2iz-5+i=i-(z-2i) tính modun của số phức w=z-1+i

Answers

Solve the given equation for z :

2iz - 5 + i = i - (z - 2i )

2iz - 5 = 2i - z

(2i + 1) z = 2i + 5

z = (2i + 5)/(2i + 1)

z = (2i + 5)/(2i + 1) × (2i - 1)/(2i - 1)

z = (4i ² + 10i - 2i - 5) / (4i ² - 1)

z = (8i - 9)/(-5)

z = 9/5 - 8/5 i

Then

w = z - 1 + i = 4/5 - 3/5 i

Determine whether the two triangles are similar

Answers

if 2 of their angles are congruent it would make them similar, or if their sides match up proportionately

Change 0.625 to a percent.

Answers

the answer is 62.5%
move the decimal two spots to the right

Which ordered pair is the solution to the system of linear equations y = negative 7 x + 2 and y = 9 x minus 14? (negative 5, 1) (1, negative 5) (5, negative 1) (Negative 1, 5)