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Usimov [2.4K]
3 years ago
15

Determine the domain of the function.

Mathematics
1 answer:
Dafna1 [17]3 years ago
4 0
We are given with a verbal phrase of a function<span> of x is equal to the square root of x plus one divided by x plus four times x minus six. 

This is expressed as f(x) = </span>√(x) + 1/x + 4x - 6 
the domain are values which include only natural numbers because of the square root sign. answer is D. <span>x ≥ 0</span>
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19h-7=23+14h <br> solve the equation
amid [387]

Answer:

h=6

Step-by-step explanation:

19h-7=23+14h

-7-23=14h-19h

-30=-5h

h=6

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3 years ago
Bi-conditional<br><br> You have a dog if and only if you have a pet. true or false
Natali5045456 [20]

Answer:

False

Step-by-step explanation:

If the conditional statement was if you have a dog then you have a pet, that would be the biconditional statement. The conditional is true but since not both parts of the biconditional are true, it is false.

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3 years ago
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3 years ago
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Solve each equation for the variable
motikmotik

Answer:

X= -50

Step-by-step explanation:

Remove the parenthesis

multiply both sides by two

x - 6 =  -56

Move the 6 to the other side

x = -56 + 6

x = -50

6 0
3 years ago
Vanessa throws a tennis ball in the air. The function h(t) = -15t2 + 45t + 10 represents the distance in feet, that the ball is
Step2247 [10]

Answer:

43.75feet

Step-by-step explanation:

Given the height of the tennis ball expressed as;

h(t) = -15t^2 + 45t + 10

At maximum height, the velocity of the ball is zero

v = dh/dt

dh/dt = -30t + 45

Since dh/dt = 0, hence;

0 = -30t + 45

30t = 45

t = 45/30

t = 3/2

t = 1.5secs

Substitute t = 1.5 into the expression given

h(1.5) = -15(1.5)^2 + 45(1.5) + 10

h(1.5) = -15(2.25)+67.5+10

h(1.5) = -33.75+77.5

h(1.5) = 43.75feet

Hence the maximum height of the ball is 43.75feet

5 0
3 years ago
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