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nevsk [136]
3 years ago
9

3x^2 - 4x + 7 (Find the domain of the expression)

Mathematics
1 answer:
Jobisdone [24]3 years ago
3 0
<span><span><span><span>x1</span> </span><span>= <span><span>−(−4) − √<span> (−4)2 − 4×3×7 </span> </span>2×3</span> </span><span>= <span><span>4 − 2 × √ 17 i </span>6</span> </span><span>≈ 0.666667 − 1.374369i</span></span><span><span><span>x2</span> </span><span>= <span><span>−(−4) + √<span> (−4)2 − 4×3×7 </span> </span>2×3</span> </span><span>= <span><span>4 + 2 × √ 17 i </span>6</span> </span><span>≈ <span>0.666667 + 1.374369i</span></span></span></span>
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Please help its easy just i'm dvmb, just need this for my homework real soon!.. DON'T MIND THOSE ANSWERS SELECTED!!!!
trasher [3.6K]
<h3><em>Hey there today we will solve your problem,</em></h3>

Number 1

_______________

<h3>Definitions</h3>
  • Vertical angles - <em>either of two angles lying on opposite sides of two intersecting lines.</em>

<em />

  • Linear Pair - <em>A linear pair is a pair of adjacent angles formed when two lines intersect.</em>

_______________

Now we can solve Number 1, there is one pair of Vertical angles being ∠5 and ∠3

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Number 2

Since we know the definition of a Linear Pair we can solve this problem also, the only Linear Pair that we can choose out the ones give to us is ∠4 and ∠3, because they are adjacent.

_______________

{\huge{\boxed{\mathfrak{Answer}}}

  1. ∠5 and ∠3

    2. ∠4 and ∠3

8 0
2 years ago
Write the polynomial in standard form. Then name the polynomial on its degree and numbers of terms. 8-4x^2+10x^2+2x
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The correct answer is C.)
6 0
3 years ago
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5 × 6,254= 31,300 is the awnser :)
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3 years ago
Forty percent of households say they would feel secure if they had $50,000 in savings. you randomly select 8 households and ask
Kay [80]

Answer:

Let X be the event of feeling secure after saving $50,000,

Given,

The probability of feeling secure after saving $50,000, p = 40 % = 0.4,

So, the probability of not  feeling secure after saving $50,000, q = 1 - p = 0.6,

Since, the binomial distribution formula,

P(x=r)=^nC_r p^r q^{n-r}

Where, ^nC_r=\frac{n!}{r!(n-r)!}

If 8 households choose randomly,

That is, n = 8

(a) the probability of the number that say they would feel secure is exactly 5

P(X=5)=^8C_5 (0.4)^5 (0.6)^{8-5}

=56(0.4)^5 (0.6)^3

=0.12386304

(b) the probability of the number that say they would feel secure is more than five

P(X>5) = P(X=6)+ P(X=7) + P(X=8)

=^8C_6 (0.4)^6 (0.6)^{8-6}+^8C_7 (0.4)^7 (0.6)^{8-7}+^8C_8 (0.4)^8 (0.6)^{8-8}

=28(0.4)^6 (0.6)^2 +8(0.4)^7(0.6)+(0.4)^8

=0.04980736

(c) the probability of the number that say they would feel secure is at most five

P(X\leq 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)

=^8C_0 (0.4)^0(0.6)^{8-0}+^8C_1(0.4)^1(0.6)^{8-1}+^8C_2 (0.4)^2 (0.6)^{8-2}+8C_3 (0.4)^3 (0.6)^{8-3}+8C_4 (0.4)^4 (0.6)^{8-4}+8C_5(0.4)^5 (0.6)^{8-5}

=0.6^8+8(0.4)(0.6)^7+28(0.4)^2(0.6)^6+56(0.4)^3(0.6)^5+70(0.4)^4(0.6)^4+56(0.4)^5(0.6)^3

=0.95019264

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ivann1987 [24]

Answer:

The slope is undefined

Step-by-step explanation:

Slope (m) = infinity  (undefined)

θ =  π  = 90°

2

distance (d) = 2

ΔX = 0  

ΔY = 2

8 0
2 years ago
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