First you need to determine the defined range
(9x + 38) -
(x + 2) =
(81), x∈ (-2, + ∞)using the
(x) -
(y) =
(
), simplify the expression
(
) =
(81)
write the number in the second set of parenthesis in exponential form
(
) =
(9²)
using
(
) = x, simplify the expression
(
) = 2
the expression
(x) = b is equal to x =
= 7²
evaluate the power
= 49
multiply both sides of the equation by x + 2
9x + 38 = 49(x + 2)
distribute 49 through the parenthesis
9x + 38 = 49x + 98
move the variable to the left side and change its sign
9x - 49x + 38 = 98
move the constant to the right side and change its sign
9x - 49x = 98 - 39
collect the like terms
-40x = 98 - 38
subtract the numbers
-40x = 60
divide both sides of the equation by -40
x = -
, x ∈ (-2, + ∞)
finally,, check if the solution is in the defined range
x = -
this means that the correct answer to your question is x = -
let me know if you have any further questions
:)
Answer:
Step-by-step explanation:
3 x (( 7 + 12 ) - 2 ) = 51
3 x ( 19 - 2 ) = 51
3 x 17 = 51
51 = 51
The child is <u>59.4 inches tall</u>, assuming the length from the coach's shoulder to his head cap is approximately 10 inches.
<h3>What is Heigth?</h3>
Height refers to the vertical distance between the top and bottom of something.
Height measures the length of some objects or persons vertically to determine whether it is high or low, according to some ascertained criteria.
<h3>Data and Calculations:</h3>
Baseball coach's height = 70 inches
Coach's shoulder to head = 10.6 inches
Height of the child standing slightly below the coach's shoulder = 59.4 inches (70 - 10.6)
Thus, the child standing slightly below the coach's shoulder is 59.4 inches tall.
Learn more about height measurements at brainly.com/question/73194
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<h3>Question Completion:</h3>
Assume that the height of the coach from his shoulder to the head is 10.6 inches.
Answer:
The answer is A, 86 sections.
Step-by-step explanation:
Step one : Add the 130 feet on to the 300 feet to find the new length of the fence.
130 + 300 = 430
Step two : find how many 5 foot sections he has now, divide 430 by 5.
430/5 = 86
Mr. Jackson can divide the new fence into 86 5-foot sections.
The answer is A, 86 sections.
Answer:
Hours are equal: 7.2
Cost of service are equal: 51.4
Step-by-step explanation:
<u>Happy Paws:</u>
y = 4.5h + 19
<u>Woof Watchers:</u>
y = 5.75h + 10
<u>To solve for the hours are equal:</u>
y = 4.5h + 19
y = 5.75h + 10 (Multiply by -1)
y = 4.5h + 19
-y = -5.75h - 10
0 = -1.25h + 9
-9 = -1.25h
h = 7.2
<u>To solve for when the services are equal:</u>
y = 4.5h + 19
y = 4.5(7.2) + 19
y = 32.4 + 19
y = 51.4