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1 year ago

Solve the inequality and graph the solution x +1 2/5 _< 6 8/10

Mathematics

1 answer:

mixer [17]1 year ago

6 0

Answer: x < 5 $\frac{2}{5}$

Step-by-step explanation:

x + 1 $\frac{2}{5}$ < 6 $\frac{8}{10}$

x + 1 $\frac{2}{5}$ < 6 $\frac{4}{5}$

x < 5 $\frac{2}{5}$

graph is attached

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Answer:

1/4 n - 3.

Hope this helps, sorry if it doesn't.

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2 years ago

Use a net to find the surface area of the right triangular prism shown below: A. 104 square feet

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I'd say by rounding and similar techniques the answer is 468, though it doesn't say all the needed numbers.

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2 years ago

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If f(1)=2f(1)=2 and f(n)=f(n-1)^2-n

katrin [286]

Answer:

f(4)=-3

Step-by-step explanation:

f(1)=2

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f(2)=f(2-1)^2-2

f(2)=f(1)^2-2

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If n=3

f(3)=f(3-1)^2 - 3

f(3)=f(2)^2 - 3

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2 years ago

Two basketballs are thrown along different paths. Determine if the basketballs’ paths are parallel to each

Paul [167]

Answer:

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

Step-by-step explanation:

Remember that:

Two lines are parallel if their slopes are equivalent.
Two lines are perpendicular if their slopes are negative reciprocals of each other.
And two lines are neither if neither of the two cases above apply.

So, let's find the slope of each equation.

The first basketball is modeled by:

$\displaystyle 3x+4y=12$

We can convert this into slope-intercept form. Subtract 3<em>x</em> from both sides:

$4y=-3x+12$

And divide both sides by four:

$\displaystyle y=-\frac{3}{4}x+3$

So, the slope of the first basketball is -3/4.

The second basketball is modeled by:

$-6x-8y=24$

Again, let's convert this into slope-intercept form. Add 6<em>x</em> to both sides:

$-8y=6x+24$

And divide both sides by negative eight:

$\displaystyle y=-\frac{3}{4}x-3$

So, the slope of the second basketball is also -3/4.

Since the slopes of the two equations are equivalent, the basketballs' paths are parallel.

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2 years ago

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