MATHEMATICS HIGH SCHOOL

Which of the following functions has the largest value when x = 3?c(x) = 3x2 + 5x + 22
j(x) = 12x
a(x) = 9x

All the functions are equal at x = 3.
c(x)
j(x)
a(x)

Answers

Answer 1

Answer:

Answer:

c(3) is the largest

Step-by-step explanation:

For positive values of x, j(x) > a(x), so the comparison is between c(x) and j(x).

Without evaluating the functions, you can subtract 5x from them to get ...

c'(x) = c(x) -5x = 3x² +22

j'(x) = j(x) -5x = 7x

Now the question is whether c'(3) is larger than j'(3). The latter is ...

j'(3) = 7·3 = 21

Since c'(3) has an added constant of 22 and x² will be positive, we know that ...

c(3) > j(3) > a(3)

The function with the largest value at x=3 is c(x).

_____

You can, of course, simply evaluate the functions:

c(3) = (3·3 +5)·3 +22 = 14·3 +22 = 42 +22 = 64
j(3) = 12·3 = 36
a(3) = 9·3 = 27

c(3) > j(3) > a(3) . . . . . . . c(3) is the largest

Answer 2

Answer:

Answer:

It’s D

Step-by-step explanation:

a(x)

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Answers

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Answers

ON THE HONOR ROLL.

nice.

how many solutions does the graph above show?
a. one
b. none
c. Infinite

Answers

Answer:

None

Step-by-step explanation:

I said this because i usually don't find any solutions for graphs until i find out that there are infinite or one

b. no solution

explain: if they are parallel, there are no solutions

Helpp hurry plzzz!! Which is an equation of the line parallel to 4y - 7x = 8 and passes through (-4, 0)?

A. y = 7/4x + 7
B. y = - 7x - 28
C. y = - 7/4x - 7
D. y = 7x + 28

Answers

Answer:

A. y = 7/4x + 7

Step-by-step explanation:

y = mx +c

4y -7x = 8

(make y the subject of formulae)

4y = 8 + 7x

divide through by the coefficient of y (4)

y = 2 + 7/4x

7/4 = m1

since the line is parallel m1 = m2

let see :{y -y¹}÷ {x-x1} = 7/4

x¹= -4 , y¹ = 0

{y - 0} ÷ {x- (-4) } = 7/4

cross multiply

4(y - 0) = 7(x+4)

4y - 0 = 7x + 28

4y = 7x +28 +0

4y = 7x + 28

(divide both sides by the coefficient of y)

y = 7/4x +28/4

y = 7/4x + 7

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B.(9x5 + 10)(81x5 – 90x10 + 100)
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