The answer is
Final result :
x - 2
Step by step solution :
Step 1 :
1
Simplify —
3
Equation at the end of step 1 :
2 1
((—•x)-7)+((—•x)+5)
3 3
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Adding a whole to a fraction
Rewrite the whole as a fraction using 3 as the denominator :
5 5 • 3
5 = — = —————
1 3
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
x + 5 • 3 x + 15
————————— = ——————
3 3
Equation at the end of step 2 :
2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 3 :
2
Simplify —
3
Equation at the end of step 3 :
2 (x + 15)
((— • x) - 7) + ————————
3 3
Step 4 :
Rewriting the whole as an Equivalent Fraction :
4.1 Subtracting a whole from a fraction
Rewrite the whole as a fraction using 3 as the denominator :
7 7 • 3
7 = — = —————
1 3
Adding fractions that have a common denominator :
4.2 Adding up the two equivalent fractions
2x - (7 • 3) 2x - 21
———————————— = ———————
3 3
Equation at the end of step 4 :
(2x - 21) (x + 15)
————————— + ————————
3 3
Step 5 :
Adding fractions which have a common denominator :
5.1 Adding fractions which have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
(2x-21) + (x+15) 3x - 6
———————————————— = ——————
3 3
Step 6 :
Pulling out like terms :
6.1 Pull out like factors :
3x - 6 = 3 • (x - 2)
Final result :
x - 2
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Answer:
42.25 feet
Step-by-step explanation:
The height function is a parabola. The maximum value of a negative parabola is at the vertex, which can be found with:
x = -b/2a
where a and b are the coefficients in y = ax² + bx + c.
Here, we have y = -16t² + 52t. So a = -16 and b = 52. The vertex is at:
t = -52 / (2×-16)
t = 13/8
Evaluating the function:
h(13/8) = -16(13/8)² + 52(13/8)
h(13/8) = -169/4 + 169/2
h(13/8) = 169/4
h(13/8) = 42.25
Answer:
the answer is 8
Step-by-step explanation:
8x6=48
Answer:
Step-by-step explanation:
Lines l and m are the parallel lines and 't' is a transversal line,
Therefore, ∠1 ≅ ∠5 [Corresponding angle postulate]
∠5 ≅ ∠7 [Vertical angles theorem]
∠1 ≅ ∠7 [Transitive property]
Therefore, ∠1 ≅ ∠7 [Alternate exterior angles theorem]
Answer:
infinite solutions
Step-by-step explanation:
Given
3(8m + 5) = 4(6m + 7) - 13 ← distribute parenthesis on both sides
24m + 15 = 24m + 28 - 13 , that is
24m + 15 = 24m + 15
Since both sides are equal then any real value of x makes the equation true.
Thus there are an infinite number of solutions
