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aleksandrvk [35]
3 years ago
6

What is the domain of the function y = 3 l n x graphed below? On a coordinate plane, a curve starts in quadrant 4 and then incre

ases up into quadrant 1. It crosses the x-axis at (1, 0). x greater-than 0 x less-than 0 x less-than 3 x greater-than 3

Mathematics
1 answer:
VladimirAG [237]3 years ago
5 0

Answer:

<h2>X greater-than 0</h2>

Step-by-step explanation:

The given function is

y=3ln(x)

Which is a logarithm function. An important characteristic of logarithms is that their domain cannot be negatice, because the logarithm of a negative number is undefined, the same happens for x=0.

Therefore, the domain of this function is all real numbers more than zero.

The image attached shows the graph of this function, there you can notice its domain restriction.

So, the right answer is the first choice: x greater than 0.

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Two mechanics work on a car . The first mechanic worked 10 hours and the second mechanic worked for 15 hours. Together they char
GarryVolchara [31]
Its because of the hours they spent
8 0
3 years ago
Simplify these expressions. a.2r+3+4r. b.8+3d+d. c.mn+ (-3mm)+6 d. 10s + (-10) + (-4s)
Maru [420]

Step-by-step explanation:

<em>Combine like terms</em>

a. 2r + 3 + 4r = (2r + 4r) + 3 = 6r + 3

b. 8 + 3d + d = (3d + d) + 8 = 4d + 8

c. mn + (-3mn) + 6 = (mn - 3mn) + 6 = -2mn + 6

d. 10s + (-10) + (-4s) = (10s - 4s) - 10 = 14s - 10

<em>Terms are called "like terms" if they have the same variable part (the same letters in the same powers). Like terms differ at most coefficient.</em>

7 0
3 years ago
Find the value of (– 3 /8 ) × (+8 /15). A. 11/23 B. – 1 /5 C. 11/15 D. – 1 /3
PtichkaEL [24]

(-3/8)(+8/15)

Answer will be a negative number. Whenever multiplying a - negative number * a + positive = - negative number.

(-3/8)(+8/15)

Cross out -3 and 15 . Divide by 3. -3/3,=-1 15/3

= -1/5

Cross out 8 and 8. Divide by 8.

8/8= 1 , 8/8= 1

-1/5*1/1= -1/5

Answer : -1/5

4 0
2 years ago
if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is .....a.2 b.-2 c 1/2 d.none ​
blsea [12.9K]

Answer:

k=2

Problem:

if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..

Step-by-step explanation:

Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.

So we want the following:

[(k+2)/2]^2=2k

Apply the power on the left:

(k+2)^2/4=2k

Multiply both sides by 4:

(k+2)^2=8k

Expand left side:

k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2

Subtract 8k on both sides:

k^2-4k+4=0

Factor using the identity mentioned a couple lines above:

(k-2)^2=0

Since zero squared is zero, we want k-2=0.

Adding both sides by 2 gives k=2.

8 0
3 years ago
A chicken recipe calls for 1/4 T of paprika for each 1/2 T of garlic powder. If you use 3/4 T of paprika, how much garlic?
LuckyWell [14K]

Answer:

1 1/2 T garlic

Step-by-step explanation:

You used 3 times as much paprika as the recipe asks for. Therefore, to keep the ratio the same, you also have to multiply the amount of garlic by 3. So, you need 3/2 or 1 1/2 T of garlic.

4 0
3 years ago
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