How do you solve 5/x=x-4

Answers

Answer 1

Answer: $(5)/(x)=x-4\n x\not=0\n 5=x^2-4x\n x^2-4x-5=0\n x^2+x-5x-5=0\n x(x+1)-5(x+1)=0\n (x-5)(x+1)=0\n x=5 \vee x=-1$

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A rectangle's length is three times its width. Let w denote the rectangle's width. What polynomial represents the rectangle's area?

Answers

Width = ' W '
Length = 3 times as long = 3W

Area = (length) x (width) = (3W) x (W) = 3W²

Width = W
Length = 3W

Area = Length * Breadth

= 3W * W

= 3W²

Which statement correctly describes a property of white light?A. It makes all objects appear white.

B. It contains different wavelengths of visible light.

C. It allows light waves to be transmitted.

D. It contains all waves on the electromagnetic spectrum.

Answers

The statement that correctly describes a property of white light is that it b) contains different wavelengths of visible light.
When white light strikes any object that reflects any wavelength of visible light, that object appears to be the color that it reflects.

The correct statement out of the 4 choices for this question is the property of white light contains different wavelengths of visible light.

According to some students, What's is the true purpose of homework? 19 letters page 156 Algebra 1 worksheet

Answers

Final answer:

The true purpose of homework is to reinforce and apply the concepts and skills learned in class, promote independent learning, and prepare students for future assessments.

Explanation:

The true purpose of homework is to reinforce and apply the concepts and skills learned in class. It provides an opportunity for students to practice and refine their knowledge, develop problem-solving skills, and improve time management and organizational skills. Homework also helps students prepare for future assessments and promotes independent learning.

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Final answer:

Homework in algebra assists students in developing an understanding and intuition for mathematics, aids students to apply classroom-learned concepts in solving problems, and allows teachers to gauge their progress. It involves independent practice and cooperative work through group activities, promoting deeper understanding, critical thinking, and self-efficacy among students.

Explanation:

The true purpose of homework, particularly in the field of mathematics and algebra, serves multiple beneficial objectives. One of the key purposes is helping students to develop an understanding and intuition for number relationships and algorithms, rather than seeking quick, short-term solutions. Homework functions as an essential tool that promotes the building of these necessary neural connections through problem-solving practice and reinforcement of classroom learning, which often requires some level of struggle and effort from the student.

Another role of homework is enabling students to apply math principles and concepts gleaned from classroom lessons and textbooks, essentially bringing equations to life. This often involves tackling mathematical questions, using algebra and arithmetic, and can be performed individually or through cooperative learning in group activities. This independent practice not only consolidates classroom learning but also empowers students to cross-verify facts and develop a sense of self-efficacy.

Lastly, homework provides teachers with the opportunity to monitor student progress, creating an understanding of the students' current skills and where there might be gaps in learning. This data collected from homework can guide future instruction and remedial help. Thus, while homework often gets a bad rap, it is indeed a critical pillar in the learning process, fostering a deeper understanding, critical thinking, and independent learning among students.

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Conevert 94500 hours to years

Answers

that's 1.084 calendar years

Hey, Yohanita!
1 hour=0.00011406844106464 years
94500 hours=10.787671 years
I hope this helps;)

HURRYY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!What is the name of the relationship between
∠1 and ∠5 ?

corresponding angles

adjacent angles

alternate interior angles

alternate exterior angles

Answers

corresponding angles is the answer

Joe has a rectangular chicken coop. The length of the coop is 4 feet less than twice the width. The area of the chicken coop is 510 square feet. What is the length of the chicken coup? PLEASE HELP ME!!!

Answers

Let w and l be the dimensions (width and length, respectively) of the coop.

We know that the length of the coop is 4 feet less than twice the width, which means that

$l=2w-4$

Also, the area is 510, but the area is the product of the dimensions, so we have

$lw=510$

Plug the expression for l in the formula for the area:

$lw=(2w-4)w=510 \iff 2w^2-4w-510=0$

We can divide the whole expression by 2 and solve it with the quadratic formula:

$w^2-2w-255=0 \iff w=(2\pm√(4+1020))/(2)=(2\pm 32)/(2)=1\pm 16$

So, the two solutions are

$w_1=1-16=-15,\quad w_2=1+16=17$

The negative solution makes no sense (we can't have negative lengths), so the width must be 17.

We conclude that the length is

$l=2w-4=2\cdot 17-4=34-4=30$

Final answer:

The length of the chicken coup is found to be 30.689 feet by setting up and solving a quadratic equation for the area of the rectangle.

Explanation:

To find the length of the chicken coop, we need to use the given information. Let's first define the width of the coop as 'w'. According to the problem, the length of the coop is 4 feet less than twice the width. So, the length can be represented as 2w - 4. The area of a rectangle is given by length multiplied by width. Hence, we have the equation (2w - 4)w = 510. Solving this equation will give us the width and length of the chicken coop.

Expanding the equation, we have 2 $w^2$ - 4w = 510. Rearranging it to the standard quadratic form, we get 2 $w^2$ - 4w - 510 = 0. To solve this quadratic equation, we can either use factoring, completing the square, or the quadratic formula. Factoring doesn't seem to work in this case, so let's use the quadratic formula: w = (-b ± sqrt( $b^2$ - 4ac)) / (2a). Substituting the values a = 2, b = -4, and c = -510 into the formula, we can find the values of w. Taking into account the physical context, we can discard the negative value. Once we have the value of w, we can substitute it into the equation for the length, 2w - 4, to find the length of the chicken coop.

So, the width of the chicken coop is approximately 17.355 feet and the length is approximately 30.689 feet.

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