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3 years ago

PLS HELP ILL MARK CROWN

Mathematics

2 answers:

jok3333 [9.3K]3 years ago

6 0

Answer:

4x−7

Step-by-step explanation:

Being given our polynomial:

$4x^{2}$ + x - 14,

We must find the roots to get our answer.

x = (- 1 ± √(1 - 4*4*(-14)) / 8

x = (- 1 ± √225) / 8

x = ( -1 ± 15) / 8

x₁ = (- 1 + 15)/ 8 = 14/8 = 7 / 4

x₂ = (- 1 - 15) / 8 = - 16/2 = - 8

The factors we came up with:

(x - x₁)(x - x₂)

(x - 7/4)(x + 8)

1/4(4x - 7)(x + 8)

So,

The correct option is C.

ahrayia [7]3 years ago

3 0

Answer:

4x-7 and x+2

Step-by-step explanation:

x+2 actually divides into 4x^2+-14 perfectly using synthetic division. it leaves 4x-7.

this means 4x-7 and x+2 are both factors.

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S_A_V [24]

Answer:

x=3/2 or 1.5

Step-by-step explanation:

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3 years ago

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Find all solutions to the equation in the interval [0, 2pi). COS X = sin 2x

Lera25 [3.4K]

Answer:

Step-by-step explanation:

cos x=sin 2x

sin 2x-cos x=0

2 sin x cos x-cos x=0

cos x(2 sin x-1)=0

either cos x=0

$x=\frac{\pi }{2},\frac{3\pi }{2}$

2 sin x-1=0

$sin x=\frac{1}{2} =sin (\frac{\pi }{6}),sin(\pi -\frac{\pi }{6} )\\x=\frac{\pi }{6} ,\frac{5 \pi }{6}$

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3 years ago

In 1990, 1000 adults were randomly selected and each was asked if they smoked, 300

Oduvanchick [21]

Answer:

The proportion of smokers was higher in 1990 than in 2000

Step-by-step explanation:

Solution

Recall that,

The total number of sample 1 (n1) = 1000

Total sample 2 number (n2) = 2000

The number of favourable events (X1) = 300

The number of favourable events (X2) = 500

so,

p₁ = X₁/n₁ = 300/1000 = 0.3

p₂ = X₂/n₂ =500/2000 =0.25

α = 0.05

We are interested in testing the hypothesis.

The hypothesis (Null) ....> H₀ : p₁ = p₂

Alternate hypothesis------ > H₁ : p₁ > p₂

Thus,

P = X₁ + X₂/ n₁ + n₂

P =300 + 500/1000 +2000

P =800/3000

=0.2667

Now,

Z₀ = P₁ - P₂/√ P (1 -P) (1/n₁ + 1/n₂)

Z₀ = 0.3 - 0.25/√0.2667 (1 - 0.2667) (1/1000 + 1/2000)

Z₀ = 0.4999999999999999/√ 0.2667 (0.7333000000000001) (0.001 +0.0005)

Then,

Z₀ = 0.4999999999999999/√0.00029335666500000004

Z₀ = 2.9193

so,

zα/2 = z0.05/2 =z0.025

zα/2 = 1.6448536269514722

Now, we apply the decision rule:

Decision Rule: Reject the null hypothesis if the statistic value test is higher than the critical value 1.6448536269514722

The statistic value, 2.9193 is greater than the critical value 1.6448536269514722, then we will reject the null hypothesis.

Therefore, the proportion of smokers was higher in 1990 than in 2000

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3 years ago

What value of n makes the equation 2(n+1)=-3(n-8)+3 true

LekaFEV [45]

<h3>Solution:</h3>

$2(n + 1) = - 3(n - 8) + 3 \\ = > 2n + 2 = - 3n + 24 + 3 \\ = > 2n + 3n = 24 + 3 - 2 \\ = > 5n = 25 \\ = > n = \frac{25}{5} \\ = > n = 5$

<h3>Answer:</h3>

<h3>Hope it helps.</h3>

ray4918 here to help

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fenix001 [56]

Answer:

Infinatly many solutions

Step-by-step explanation:

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3 years ago

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