To solve X/0.4 = 10, you would: Add 0.4 Subtract 0.4 Multiply 0.4 Divide by 0.4

Answers

Answer 1

Answer: multiply by 0.4 on both sides to cancel the original 0.4 and change the 10

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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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Simplify 3^1/3 times 9^1/3

Answers

(x^m)^n=x^(mn)
(x^m)(x^n)=x^(m+n)
make base same
9=3^2
(3^2)^1/3=3^(2/3)

3^1/3 times 3^2/3=3^(1/3+2/3)=3^1=3

The function g(x) represents f(x) = 9 cosine (x minus StartFraction pi Over 2 EndFraction) + 3 after translating StartFraction pi Over 6 EndFraction units left and 4 units up.Which equation represents g(x)?

Answers

The equation that represents the function g(x) is $g(x)=9cos(x-(\pi )/(3) )+7$ .

What is function?

Function, in mathematics, an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

What is translation?

Translation means the displacement of a figure or a shape from one place to another. In translation, a figure can move upward, downward, right, left or anywhere in the coordinate system. In translation, only the position of the object changes, its size remains the same.

The function is given as

$f(x)=9cos(x-(\pi )/(2) )+3$

The function f(x) is first translated $(\pi )/(6)$ units left.

The rule of translation is:

$(x,y)=(x+(\pi )/(6),y)$

So, we have:

$f'(x)=9cos(x+(\pi )/(6) -(\pi )/(2) )+3$

Take LCM

$f'(x)=9cos(x+(\pi-3\pi )/(6) )+3$

$f'(x)=9cos(x-(2\pi )/(6) )+3$

$f'(x)=9cos(x-(\pi )/(3) )+3$

Next, translate f'(x) 4 units up.

The rule of this translation is:

$(x,y)=(x,y+4)$

So, we have:

$g(x)=9cos(x-(\pi )/(3) )+3+4$

$g(x)=9cos(x-(\pi )/(3) )+7$

Hence, the equation that represents the function g(x) is $g(x)=9cos(x-(\pi )/(3) )+7$ .

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Answer:

Step-by-step explanation:

Im almost sure it B but if not then its for sure D.

What is the area of this figure?

Answers

Answer:

35 in^2

Step-by-step explanation:

15+20=35

If x is a real number such that $x^3 = 729$ , then $x^2+√(x)$ equals?

Answers

$x^3 = 729 \n \n x^2+√(x) =? \n \n x^3 - 729=0 \n \n x^3-9^3 = 0\n \n(x-9)(x^2+9x+81)=0$

$x^2+9x+81 =0 \ \ or \ \ x-9 = 0\n \n\Delta =b^2-4ac =9^2-4\cdot 1\cdot 81=81- 324 =-243 \n \n and \ we \ know \ when \ \Delta \ is \ negative, \ theres \ no \ solution \n or \n x-9=0 \n \nx=9$

$a^3-b^3=(a-b)(a^2+ab+b^2) \n\n \n x^2+√(x) = 9^2+√(9)=81+3 = 84$

First, we find the value of 'x.'
$x^(3)=729 \n x= \sqrt[3]{729}$
x=9

$x^(2) + √(x)$
$9^(2)$ + $√(9)$
81+3
= 84
$x^(2) + √(x)$ =84

Graph f(x)=-4|x 1|-3

Answers

Answer:

Check Explanation and picture.

Step-by-step explanation:

This is an absolute value function!

You didn't provide a sign where the x does something to 1 which doesn't give clarity for any transformation to the right or left.

Assuming it's a negative: You shift 1 to the RIGHT

Assuming it's a positive: You shift 1 to the LEFT

However, -3 indicates shifting 3 down.

The negative is a reflection that makes the v point down.
(Starting from the transformation point) The 4 ensures you go down 4 and over 1.

You should also use desmos graphing calculator to make it easier to visualize the functions.

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