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pychu [463]
3 years ago
14

Four students were asked to write an expression which has terms that have a greatest common factor of 8c. The expressions

Mathematics
2 answers:
Olin [163]3 years ago
6 0

Answer:

<h2>Wyatt</h2>

Step-by-step explanation:

Greatest common factor is a largest possible number or function that divides all values of a function without a remainder. According to the students, only Wyatt wrote the correct expression that has 8c as its greatest common factor.

According to Wyatt expression;

8c-48cd

It can be seen that 8c is the greatest function that can go in both monomials (8c and 48cd). On factoring out 8c we have;

8c-48cd = 8c(1-6d)

since no other values can go in the values in parenthesis (1-6d), this shows that 8c is the greatest common factor of the function hence only Wyatt wrote the correct expression compare to other students.

According to Xavier and Yang equation, c is cannot be factored from the equation thereby making both the wrong expression.

For Tanya function 32c+16cd, its greatest common factor is 16c not 8d making the equation wrong as well.

Afina-wow [57]3 years ago
6 0

Answer:

Wyatt

Step-by-step explanation:

it's on edge

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\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}

We rewrite the expression using the lowest common index of 6, then:

5 ^ {\frac {1} {3}} * 2 ^ {\frac {1} {2}} =

We rewrite the terms in an equivalent way:

5 ^ {\frac {2} {6}} * 2 ^ {\frac {3} {6}} =

We rewrite the expression using the property mentioned:

\sqrt [6] {5 ^ 2} * \sqrt [6] {2 ^ 3} =

We combine using the product rule for radicals:

\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}

So:

\sqrt [6] {5 ^ 2 * 2 ^ 3} =\\\sqrt [6] {25 * 8} =\\\sqrt[6]{200}

ANswer:

Option b

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3 years ago
If granola costs $2.20 per pound, how much does 0.8 pound of granola cost?
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Answer:

$1.76

Step-by-step explanation:

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Find equation of a line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.
attashe74 [19]

Answer:

5x + y = -28

Step-by-step explanation:

Hi there!

We're given that a line has a slope of -5 and contains the point (-4, -8)

We want to write the equation of this line in standard form

Standard form is given as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero, and a cannot be negative

Before we write the equation in standard form however, we need to write it in slope-intercept form, which is y=mx+b, where m is the slope & b is the y intercept

As we are already given the slope, we can immediately plug that in for m in y=mx+b

y=-5x+b

Now to find b:

As the equation passes through the point (-4, -8), we can use its values to help solve for b

Substitute -4 as x and -8 as y:

-8 = -5(-4) + b

Multiply

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Subtract 20 from both sides

-8 = 20 + b

-20  -20

__________

-28 = b

substitute -28 as b

y = -5x - 28

We found the equation in slope-intercept form, but remember, we want it in standard form

In standard form, both x and y are on the same side; so, let's move 5x to the other side; to do this, we need to add 5x to both sides

y = -5x - 28

+5x +5x

_________

5x + y = -28

Hope this helps!

3 0
2 years ago
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