Need help on #18 i don't know how to set this up

.Given the function f(x)=(3x+4)-(2-x) evaluate for f=5

asambeis [7]

Answer:

22

Step-by-step explanation:

f(x)=(3x+4)-(2-x)

Let x =5

f(5)=(3*5+4)-(2-5)

Do the parentheses first

= (15+4) - (2-5)

= 19-(-3)

= 19+3

= 22

8 0

3 years ago

Read 2 more answers

Journal entries to record cash dividends are made on the:

geniusboy [140]

Answer:

Declaration date and payment date.

7 0

3 years ago

Traveling with the current, a canoe went 30 miles in 3 hours. Traveling against the current, the canoe went 12 miles in 3 hours.

lora16 [44]

Answer

Rate of canoe in calm water is 7 mph

Step-by-step explanation:

Let y be the rate of the canoe in calm water

Let z represent the rate of current

Traveling with the current, the canoe went 30miles in 3 hours

The total speed of the current and canoe will be (y + z) mph

Recall that,

speed = distance / time

Distance = speed x time

Distance = 30 miles

time = 3 hours

30 = 3( y + z)

divide through by 3

30/3 = 3/3 (y + z)

10 = y + z -------------------- equation 1

Against the current, the canoe went 12 miles in 3 hours

Let the speed = (y - z) mph

Distance = speed x time

12 = 3(y - z)

Divide through by = 3

4 = y - z ------------- equation 2

The two-equation can be solved simultaneously

y + z = 10 --------------- equation 1

y - z = 4 -------------- equation 2

Eliminate z by adding the two equations equation together

(y + y) + (z - z) = 10 + 4

2y + 0 = 14

2y = 14

y = 14/2

y = 7 mph

To find z, put y in equation 1

y + z = 10

z = 10 - y

z = 10 - 7

z = 3 mph

Hence, the rate of canoe in calm water is 7mph

6 0

1 year ago

Through: (3, 5), slope = 5/3<br> Explain please

AveGali [126]

Step-by-step explanation how to get answer:

Slope is Rise over Run

Find point (3, 5) and go up 5 and over 3 from that point & mark it, keep going in that pattern until you have a line.

For going opposite ways, do the opposite function; go down 5 and left 3 to have a complete straight line.

6 0

3 years ago

PLEASE HELP ITS EXTRA CREDIT AND I COULD REALLY USE IT !! BEING TIMED! for each of the following statements, determine if the st

bogdanovich [222]

A. True. We see this by taking the highest order term in each factor:

$f(x) = -3x(x-5)^3(x+2)^2 = -3x (x^3 + \cdots) (x^2 + \cdots) = -3x^{\boxed{6}} + \cdots$

B. True. Again we look at the leading term's degree and coefficient. f(x) behaves like -3x⁶ when x gets large. The degree is even, so as x goes to either ± ∞, x⁶ will make it positive, but multiplying by -3 will make it negative. So on both sides f(x) approaches -∞.

C. False. f(x) = 0 only for x=0, x = 5, and x = -2.

D. False. Part of this we know from the end behavior discussed in part B. On any closed interval, every polynomial is bounded, so that for any x in [-2, 5], f(x) cannot attain every positive real number.

E. True. x = 0 is a root, so f(0) = 0 and the graph of f(x) passes through (0, 0).

F. False. (0, 2) corresponds to x = 0 and f(x) = 2. But f(0) = 0 ≠ 2.

8 0

2 years ago