Answer:
<h3>x = -14</h3>
Step-by-step explanation:
Given the equation
1/4x +4 = 1/2
Solving for x
Subtract 4 from both sides
1/4x +4 - 4 = 1/2 - 4
1/4 x = (1-8)/2
1/4 x = -7/2
Cross multiply
2x = -7*4
2x = -28
x = -28/2
x = -14
Hence the value of x is -14
Answer:
<h2>
The eleventh term of the sequence is 64</h2>
Step-by-step explanation:
The sequence given is an arithmetic sequence
14, 19, 24, …………., 264
The nth term of an arithmetic sequence is given as;
Tn = a+(n-1)d where;
a is the first term = 14
d is the common difference = 19-14=24-19 = 5
n is the number of terms = 11(since we are to look for the eleventh term of the sequence)
substituting the given values in the formula given;
T11 = 14+(11-1)*5
T11 = 14+10(5)
T11 = 14+50
T11 = 64
The eleventh term of the sequence is 64
Answer:
3h - 30 > 0
h > 10
Step-by-step explanation:
To make a profit, subtract $36 in cost from the income coming in.
She charges $6 and then $3 per hour or 3h. Her income coming in is 6 + 3h.
Subtract 36 from it to find the profit.
3h + 6 - 36
3h - 30
To make a profit, she needs to make more than $0 or > 0.
3h - 30 > 0
Solve using inverse operations.
3h - 30 > 0
3h > 30
h > 10
Answer:
The correct answer is (x-y)
Step-by-step explanation:
x^2-xy
x(x-y)
Answer:
(-4, 7)
Step-by-step explanation:
It would be the exact opposite of point R because it was rotated about 180 degrees from it's original location
