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kap26 [50]
3 years ago
12

Which of the following points lie in the solution set to the following system of inequalities?

Mathematics
2 answers:
Vitek1552 [10]3 years ago
4 0

Answer:

Step-by-step explanation:

y ≤ x − 5

1<10-5

1<5

Pair: (10,1)

y ≤ −x − 4

-10<-1-5

-10<-6

Pair: (1,-10)

nikdorinn [45]3 years ago
3 0

Answer:

<h2>(1, −10)</h2>

Step-by-step explanation:

If we graph this system of inequalities, we could find the solution.

From the graph you can deduct that the only right answer is the last one (1,-10), because the area of solution is only for negative values of <em>y.</em>

Therefore, the right choice is the last one.

If you can't graph, you can try another method. If we replace the value in the system, it should satisfy it, that is, it should gives us a true result like 0<1 for example. Let's try

For x=1 and y=-10, we have

-10 ≤ 1 − 5

-10 ≤ −1 − 4

-10 ≤ -4

-10 ≤ -5

As you can see, the result is true, because -10 is less than -4 and -5, so that's the right answer.

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Eliminate the parameter in the equations x = 5cos(t) – 7 and y = 5sin(t) 9. how can the rectangular equation be described?
Maksim231197 [3]

Recall that for all t,

cos²(t) + sin²(t) = 1

Now,

x = 5 cos(t) - 7   ⇒   (x + 7)/5 = cos(t)

y = 5 sin(t) + 9   ⇒   (y - 9)/5 = sin(t)

so that substituting into the identity above, we get

((x + 7)/5)² + ((y - 9)/5)² = 1

which we can rewrite as

(x + 7)²/25 + (y - 9)²/25 = 1

(x + 7)² + (y - 9)² = 25

and this is the equation of a circle centered at (-7, 9) with radius 5.

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2 years ago
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Andru [333]
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6 0
3 years ago
Read 2 more answers
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tresset_1 [31]

Step-by-step explanation:

x and y are roughly in a linear relationship.

when x increases by 2 units, then also y increases by more or less 2 units.

when x increases by 3 units, then also y increases by more or less 3 units.

it is not precise, but a good approximation model.

3 0
3 years ago
PLEASE FAST 10 POINTS
Karolina [17]

Answer:

6. 5 % is the answer

Step-by-step explanation:

formula =

<em>R</em><em> </em><em>=</em><em> </em><em>I</em><em> </em><em>×</em><em> </em><em>1</em><em>0</em><em>0</em><em> </em><em>/</em><em> </em><em>P</em><em> </em><em>×</em><em> </em><em>T</em>

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3 years ago
A cab charges $1.75 for the flat fee and $0.25 for each mile. write and solve an inequality to determine how many miles eddie ca
ad-work [718]
The answer is <span>a. $1.75 + $0.25x ≤ $15; x ≤ 53 miles
</span>
x - the number of miles
C - the cab charge

<span>A cab charges $1.75 for the flat fee and $0.25 for each mile:  C = 1.75 + 0.25x.
</span><span>Eddie has $15 to spend. So, he cannot spend more than 15 on the cab and the maximum amount he can spend is 15. Therefore:
</span>1.75 + 0.25x ≤ 15

Now, let's solve it:
0.25x ≤ 15 - 1.75
0.25x ≤ 13.25
x ≤ 13.25 / 0.25
x ≤ 53
3 0
3 years ago
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