How do I find the "Greatest Common Factor" of 7z^11, −56z^9, 63z^8?I think it is "7", but cannot figure out the variable exponent...HELP!!!

Answers

Answer 1

Answer: It's $7z^8$

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Adiya said that the first step to solving the quadratic equation x2 + 6 = 20x by completing the square was to divide 6 by 2, square that value, and add the result to both sides. Is Adiya’s solution method correct? Explain.

Answers

Answer:

No, it is incorrect.

Step-by-step explanation:

The quadratic equation is

$x^2+6 = 20x$ or $x^2-20x+6=0$ . To complete square we take the coefficient of x divided by 2, square that value and add the result to both sides. In the equation given the number to do the process is 20, not 6, then the solution method is incorect.

Answer:

NO it is not correct

Step-by-step explanation:

Adiya’s method is not correct. To form a perfect square trinomial, the constant must be isolated on one side of the equation. Also, the coefficient of the term with an exponent of 1 on the variable is used to find the constant in the perfect square trinomial. Adiya should first get the 20x term on the same side of the equation as x2. Then she would divide 20 by 2, square it, and add 100 to both sides.

The quotient of x^2+x-6/x^2-6x+5*x^2+2x-3/x^2-7x+10 has ___ in the numerator and ______ in the denominator.

Answers

Answer:

So the quotient of $(x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10)$ has (x + 3)² in the numerator and (x + 5)² in the denominator.

Step-by-step explanation:

$(x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10)$

Factorizing the expressions we have

$(x^(2) + 3x -2x - 6)/(x^(2) -x - 5x + 5) X (x^(2) + 3x - x - 3)/(x^(2) -2x -5x + 10)$

$(x(x + 3)- 2(x + 3))/(x(x -1) - 5(x - 1)) X (x(x + 3) - 1(x + 3))/(x(x - 2) - 5(x - 2))$

$((x + 3)(x - 2))/((x - 5)(x - 1))X((x + 3)(x - 1))/((x - 2)(x - 5))$

Cancelling out the like factors, (x -1) and (x - 2), we have

$((x + 3)(x + 3))/((x - 5)(x - 5))$

= $((x + 3)^(2) )/((x + 5)^(2) )$

So the quotient of $(x^(2) + x - 6)/(x^(2) -6x + 5) X (x^(2) + 2x - 3)/(x^(2) -7x + 10)$ has (x + 3)² in the numerator and (x + 5)² in the denominator.

the functions b(n)= 6n and represents the number of light bulbs B(n) that are needed for n chandeliers how many light bulbs are needed for 15 chandeliers

Answers

b(n) = 6n

b(15) = 6(15)
b(15) = 90....so 90 light bulbs are needed for 15 chandeliers

Chelsea is graphing the function f(x) = 20()x. She begins by plotting the initial value. Which graph represents her first step?ik is either c or d

Answers

we have the function

$f(x)=20((1)/(4))^(x)$

we know that

In the equation of the exponential function of the form

$f(x)=a(b)^(x)$

a is the initial value

b is the base

x is the exponent

The initial value is the value of the function when the value of x is equal to zero

in this problem

for $x=0$

$f(0)=20((1)/(4))^(0)$

$f(0)=20(1)=20$

the initial value is the point $(0,20)$

therefore

the answer in the attached figure

The answer you are looking for is C. Hope this helps!

Sally is making masks for her family. Her pattern calls for a rectangle that is 9 x 14. If one yard of fabric is 36 x 42 (after the salvage edge is removed), how many masks can she make from one yard of fabric? If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask? If her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask? Answer: Number of masks: Cost using discount fabric: $ Cost using regular priced fabric:

Answers

Answer:

how many masks can she make from one yard of fabric?

the maximum she can obtain is 4 (9 x 4 = 36) x 3 (14 x 3 = 42) = 12 masks from one yard of fabric.

If her fabric was on sale for $3.00 per yard, what is the fabric cost of one mask?

the fabric cost of 1 mask at a discount price = $3 / 12 = $0.25 per mask

If her fabric is regularly priced at $9.00 per yard, what is the fabric cost of one mask?

the fabric cost of 1 mask at regular price = $9 / 12 = $0.75 per mask

A scalene triangle _____ has symmetry with respect to a line containing an altitude of the triangle.Always
Sometimes
Never

Answers

Answer:

The answer is never.

Step-by-step explanation:

A scalene triangle is the one, which has all the three sides unequal. A scalene triangle has no equal sides so it has no lines of symmetry as a line of symmetry would divide the triangle evenly.

Therefore, the answer is never.

A scalene triangle NEVER has symmetry with respect to a line containing an altitude of the triangle.

Answer: Never/False

Explanation: A scalene triangle "never" has a symmetry with respect to a line containing an altitude of the triangle.

Hope this helps!

Thank you :)

-Charlie

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