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Doss [256]
3 years ago
6

Find the solution to the system of equations given below: x=-4 -5x-4y=16 PLS HELP

Mathematics
1 answer:
poizon [28]3 years ago
8 0

Answer:

Step-by-step explanation:

Since x=-4 plug in the -4 into the equation to find y,

-5(-4)-4y=16

20-4y=16                                                                                                                             -20       -20                                                                                                                   __________

-4y=-4

-4y/-4=-4/-4

___________

y=1

So now you found both x and y so plug in both now to check if both are correct.

-5(-4)-4(1)=16

20-4=16

16=16

So both y and x are correct.

Hope this helps!:)

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3 years ago
Let A = { x ∈ R : x 2 − 5 x + 4 ≤ 0 } , B = (3 , 5), and C = (3 , 4]. Show that A ∩ B = C . (Recall, you must show two separate
kolbaska11 [484]

Answer:

You can proceed as follows:

Step-by-step explanation:

First solve the quadratic inequality x^{2}-5x+4\leq 0. To do that, factorize, then we have that (x-4)(x-1)\leq 0. This implies that

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C=(3,4].

To show that A\cap B\subseteq C consider x\in A\cap B. Then 1\leq x \leq 4\, \text{and}\, 1, this implies that 3, then x\in C. Now, to show that C\subseteq A\cap B consider x\in C, then 3, then 1\leq x \leq 4\, \text{and}\, 3, then x\in [1,4] \, \text{and}\, x\in (3,5), this implies that x\in A\cap B.

Observe the image below.

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Answer:

1

Step-by-step explanation:

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