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3 years ago

Graph the solution to the following system of inequalities in the coordinate plane.

Mathematics

1 answer:

Debora [2.8K]3 years ago

5 0

Answer:

The solution is any point in the common part of red and blue

The two lines intersect each other at (4 , 7)

Step-by-step explanation:

∵ y > 1/4 x + 6 ⇒ y = 1/4 x + 6

∵ y > 2x - 1 ⇒ y = 2x - 1

∴ 2x - 1 = 1/4 x + 6

∴ 2x - 1/4 x = 6 + 1

∴ 7/4 x = 7 ⇒ x = 7 ÷ 7/4

∴ x = 4

∴ y = 2(4) - 1 = 7

∴ The two lines intersect each other at (4 , 7)

∴ The solution is any point in the common part of red and blue

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Find the angle measure to the nearest degree. <br> cos A = 0.7431<br> How do I do this?

svet-max [94.6K]

Answer:

Step-by-step explanation:

If you are looking for a missing angle measure, you use the 2nd button and the cos button. Make sure, first off, that your calculator is in "degree" mode by hitting the "mode" button and making sure that the "degree" is highlighed and not the "radian". Then hit "clear". Once you know that you are in the correct mode, hit "2nd" then "cos" and you will see this on your screen:

$cos^{-1}($

Inside the parenthesis you will enter your decimal, so it looks like this now:

$cos^{-1}(.7431$

You do NOT have to close the parenthesis, but you can if you want to. Then hit "enter" to get that the angle that has a cosine of .7431 is 42.0038314 or, to the nearest degree, 42

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3 years ago

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3 years ago

If you invest $2,000 today in a bank that gives you a 4 percent annual interest rate, which of these items can you buy in seven

jeyben [28]

Just the Mountain bike, cause 4% of $2000 is, $80. and $80 for each year for 7 years make $560. now after 7 years your bank account has $2560. Therefore, you can buy a mountain bike, and have $60 left over, if there is no tax included. But if there is tax, your going to be still short by $115.(calculated according to florida's tax, that is 7%.) Anyways if the tax is over 2% you cant get that bike.

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3 years ago

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The town of madison has a population of 25,000. The population is increasing by a factor of 1.12 each year. Write a function tha

GaryK [48]

<h3>The population P(t) at the end of year t is $P(t) = 25,000 \times (1.12)^t$ </h3>

Step-by-step explanation:

The initial population of town of Madison = 25,000

The rate at which the population is increasing = 1.12 times

So, the increase in population first year :

( the initial population) x $(1.12)^1$ = 1.12 x ( 25,000)

= 28,000

So, the population at the end of first year = 28,000

Similarly, the increase in population second year :

( the initial population) x (1.12)² = ( 25,000) x (1.12)²

= 31,360

So, the population at the end of second year =31,360

Now, to calculate the population in t years from now:

The population P(t) at the end of year t is

$P(t) = 25,000 \times (1.12)^t$

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3 years ago

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lidiya [134]

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3 years ago

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