How to solve 4y^2+8=2y^2

There are 4 consecutive odd integers with a sum of 128

Free_Kalibri [48]

<span><span>29, 31, 33, & 25. Those are all odd and if added up equal 128
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5 0

3 years ago

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Plz help ASAP, without using algebra! Tysm!!!

nadya68 [22]

The total travelled for the first five hours eould be 450 km and divided by three leaves 150 km per 1/5 of his journey. travelling at 75 km per hour, it would take 4 hours to get through the remaining 300 km for him trip leaving a total time of 9 hours of traveling

5 0

3 years ago

If

likoan [24]

It's easy to show that $7\tan(4x)$ is strictly increasing on $x\in\left[0,\frac\pi8\right]$ . This means

$M = \max \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/12} = 7\sqrt3$

and

$m = \min \left\{7\tan(4x) \mid \dfrac\pi{16} \le x \le \dfrac\pi{12}\right\} = 7\tan(4x) \bigg|_{x=\pi/16} = 7$

Then the integral is bounded by

$\displaystyle 7\left(\frac\pi{12} - \frac\pi{16}\right) \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le 7\sqrt3 \left(\frac\pi{12} - \frac\pi{16}\right)$

$\implies \displaystyle \boxed{\frac{7\pi}{48}} \le \int_{\pi/16}^{\pi/12} 7\tan(4x) \, dx \le \boxed{\frac{7\sqrt3\,\pi}{48}}$

7 0

2 years ago

Which statement shows how the product of (x + 7)2 demonstrates the closure property of multiplication?

Illusion [34]

The true statement that show the closure property of multiplication :

<h3>a. x² + 14x + 49 is a polynomial</h3>

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<h3>Further explanation</h3>

<em>If equation ax³ + bx² + cx + d = 0 has roots x₁ , x₂ , and x₃ then</em>

$x_1 + x_2 + x_3 = - \frac{b}{a}$

$x_1 x_2 + x_1 x_3 + x_2 x_3 = \frac{c}{a}$

$x_1 x_2 x_3 = - \frac{d}{a}$

Let us now tackle the problem!

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This problem is about Polynomial.

$(x + 7)^2 = (x + 7)(x + 7)$

$(x + 7)^2 = x^2 + 7x + 7x + 7(7)$

$(x + 7)^2 = x^2 + 14x + 49$

$x^2 + 14x + 49$ is a polynomial.

$x + 7$ is polynomial.

It demonstrates the closure property of multiplication.

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<h3>Conclusion:</h3>

<em>The true statement that show how the product of (x + 7)² demonstrates the closure property of multiplication:</em>

<h3>a. x² + 14x + 49 is a polynomial</h3>

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<h3>Learn more</h3>

Solving Quadratic Equations by Factoring : brainly.com/question/12182022
Determine the Discriminant : brainly.com/question/4600943
Formula of Quadratic Equations : brainly.com/question/3776858

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<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Polynomial

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Keywords: Quadratic , Equation , Discriminant , Real , Number

#LearnWithBrainly

7 0

4 years ago

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The pyramid shown has a square base that is 32 centimeters on each side. The slant height is 24 centimeters. What is the lateral

tensa zangetsu [6.8K]

Triangle=1/2 times base times height
base=32
height=24

the lateral surface area is not including bottom so just the 4 side triangles

4 times 1/2 times base times height
4 times 1/2 times 32 times 24
2 times 32 times 24
1536

lateral surface area is 1536 square centimeters

5 0

3 years ago

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