Answer:
Trent has at least 30 cubes.
Step-by-step explanation:
This is because the lowest common multiple of both 5 and 6 is 30. In order for you to get fractions with those denominators, there would have to be a total number in which they share the multiple.
Can you stop breathing please? thanks! and no problem
Answer:
First, we need to know when the function is increasing, and when is decreasing.
When a function is increasing, it's because to higher <em>x-values </em>belong higher <em>y-values. </em>On the other hand, a function is decreasing when to higher <em>x-values </em>belong lower <em>y-values. </em>The effect in the graph will be a upwards direction of the function when is increasing, and a downwards direction when is decreasing.
So, according to the given graph, we see that between 0 and 4 is increasing, the higher x-values are, higher y-values are. Between 4 and 6 is decreasing, is downwards. Between 6 and 8 is increasing. Between 8 and 10 is decreasing. In finally, between 10 and 14 is neither decreasing or increasing, it remains horizontal.
All these interpretations we can expressed using math language, specifically inequalities:
- 0 < x < 4: increasing.
- 4 < x < 6: decreasing.
- 6 < x < 8: increasing.
- 8 < x < 10: decreasing.
- 10 < x < 14: neither increasing or decreasing.
Answer:
Use the quadratic formula
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
4
1
+
8
=
0
5x^{2}-41x+8=0
5x2−41x+8=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
4
1
b={\color{#e8710a}{-41}}
b=−41
=
8
c={\color{#129eaf}{8}}
c=8
=
−
(
−
4
1
)
±
(
−
4
1
)
2
−
4
⋅
5
⋅
8
√
2
⋅
5
2
Simplify
3
Separate the equations
4
Solve
Solution
=
8
=
1
5
Answer:1 3/4 < 1 7/8
Showing the workThe least common denominator is 8Comparing 14/8 and 15/8:
14/8 < 15/8 ... ..... ... ....therefore1 3/4 < 1 7/8
