Number 10 please please someone please help please please help

Mathematics

1 answer:

Tanzania [10]2 years ago

3 0

Answer: A compound inequality contains at least two inequalities that are separated by either "and" or "or". The graph of a compound inequality with an "and" represents the intersection of the graph of the inequalities. A number is a solution to the compound inequality if the number is a solution to both inequalities.

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Write an equation for the line that is parallel to the given line and that passes through the given point.

Rasek [7]

Parallel to y = 3/4x - 9 and passes through (-8, -18)

Identify the slope : our slope is 3/4

Remember that parallel equations have the same slope, so both slopes are 3/4

Now, we have to find the y-intercept. Simply plug everything into the slope intercept form equation.

y = mx + b

(-18) = (3/4)(-8) + b

Simplify.

-18 = -6 + b

Add 6 to both sides.

-18 + 6 = b

Therefore, our y-intercept is -12.

Now plug everything into the slope intercept form.

y = mx + b

y = 3/4x - 12

~Hope I helped!~

4 0

2 years ago

Determine ſ(2) where f(x) =x+1/4x-2

umka2103 [35]

F(X)= x+1/4x-2
f(2) = (2 + 1)/[(4)(2) - 2]
f(2) = 3/6 = 1/2

6 0

2 years ago

James invested $300 in a bank account that earns simple interest. He earns $24 at the end of 12 months. James invests $500 at th

NARA [144]

Answer: $40

Step-by-step explanation:

The key formula to use for this problem is the simple interest formula, which is $I=prt$ ; where I is the interest earned, p is the principal (initial) amount, r is the interest rate, and t is the amount of time that passes.

Since we know that both investments have the same interest rate, we can use the information from the first part of the problem to solve for the interest rate. Using algebra, we can rearrange the simple interest formula to solve for the interest rate: $r=I/pt$ . We know that our interest earned is $24 and our principal amount is $300. To make things easier, we'll also convert months to years, which is easy to do since we know that 12 months = 1 year. This gives us our value for the amount of time that passes. Now, all we have to do is plug in our values into the rearranged equation above.

We should now have: $r=\frac{24}{300*1}=0.08$

Now, to find the interest earned from the $500 investment, we just need to plug in our values from the second part of the problem, along with our calculated interest rate of 0.08, into the original formula of $I=prt$

This should result in $I=500*0.08*1=40$