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Andrew [12]
3 years ago
15

−10x − 5y ≥ 15 x + y ≤ −1 what are the quadrants containing a solution to the above system of linear inequalities.

Mathematics
1 answer:
Paraphin [41]3 years ago
5 0
Let's convert these inequalities to Slope Intercept Form so that we can graph them easily.

<span>−10x − 5y ≥ 15
Add 10x to both sides.
-5y </span>≥ 10x + 15
Divide both sides by -5 and flip the inequality sign.
y <span>≤ -2x - 3

</span><span>x + y ≤ − 1
Subtract x from both sides.
</span><span>y ≤ -x − 1

When graphed, the solutions lay in Quadrants II, III, and IV. You can see this in the picture I've included.</span>

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What annual rate of interest would you have to earn on an investment of $3500 to ensure receiving $273.00 interest after 1 year?
kogti [31]

To find the answer, we will have to find the percentage of $273 to $ 3500, and we can use the formula:

\frac{interest received}{investment amount} \times 100%

In this case:

273/3500 x 100%

=39/500 x 100%

=7.8%

Therefore the annual interest rate would be 7.8%.

Hope it helps!

8 0
3 years ago
Help...please?? Thanks guys
vfiekz [6]

Answer:

x=20

Step-by-step explanation:

The Pythagorean theorem is

a^2 +b^2 = c^2

where a and b are the legs and c is the hypotenuse.

The legs are x and 15 and the hypotenuse is 25

x^2 + 15^2 = 25^2

x^2 +225 = 625

Subtract 225 from each side

x^2 +225-225 = 625-225

x^2 = 400

Take the square root of each side

sqrt(x^2) = sqrt(400)

x = 20

4 0
3 years ago
Read 2 more answers
Can you help me with this pls
posledela

Answer:

20% tip is $3.97, add that to 18.97 and you get $22.76, then add 8.25 and you get $31.01

6 0
2 years ago
Scientists predict that there is a 0.8 chance that there will be an earthquake in San Francisco this year. How likely is that th
Firlakuza [10]

Answer:

80%

Step-by-step explanation:

8 0
3 years ago
The sum of 45% of a number and 55% of the same number is 200. what is the number?
Ymorist [56]

.45x+.55x=200
Combine like terms
1x=200
So x is 100

Or you can do 45%+55%=100%
And 100% of 200 is 200
8 0
3 years ago
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