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3 years ago

Factor 48m+42n to identify the equivalent expressions.

Mathematics

1 answer:

PolarNik [594]3 years ago

5 0

Answer:

Step-by-step explanation:

The equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

Solution:

Given that, we have to factor the given expression

Given expression is: 48m + 42n The equivalent expressions can be found by factoring out the common factors of 48 and 42 Let us first find the factors of 48 and 42

The factors of 42 are: 1, 2, 3, 6, 7, 14, 21, 42

The factors of 48 are: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Thus the common factors are: 1, 2, 3, 6

Let us factor out 2 from given expression

Now factor out 3 from given expression

Now factor out 6 from given expression

Thus the equivalent expressions are 2(24m + 21n) and 3(16m + 14n) and 6(8m + 7n)

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3 years ago

Can someone tell me what is 8/9+3/5

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Okay I am going to explain to you and show you how to get the correct answer.

Fist you need to find the Greatest common factor which is 45 because 5×9=45

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67/45 is reduced to 1 22/45
5 goes into 45 9 times so 3 times 7 equals 27 and 9 goes into 45 5 times so 8 times 5 equals 40 you add both numbers up and get 67. 67 can't go into 45 so you subtract 67 from 45. 45 goes into 67 1 time so that is your whole the number. 22 is left over so that is your numerator. The denominator remains the same.

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3 years ago

When each side of an equation has been simplified, equations that have BLANK coefficients and BLANK constants on each side have

kobusy [5.1K]

Answer:

The answer is below

Step-by-step explanation:

An equation shows the relationship between two or more variables. An equation is a statement that shows the equality between expressions. An equation with infinitely many solution is when all numbers are solutions, that is there is no one solution. Example is: x + 3 = x + 3.

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3 years ago

Somebody please help so I can pass, please

ASHA 777 [7]

First, we are going to find the vertex of our quadratic. Remember that to find the vertex $(h,k)$ of a quadratic equation of the form $y=a x^{2} +bx+c$ , we use the vertex formula $h= \frac{-b}{2a}$ , and then, we evaluate our equation at $h$ to find $k$ .

We now from our quadratic that $a=2$ and $b=-32$ , so lets use our formula:
$h= \frac{-b}{2a}$
$h= \frac{-(-32)}{2(2)}$
$h= \frac{32}{4}$
$h=8$
Now we can evaluate our quadratic at 8 to find $k$ :
$k=2(8)^2-32(8)+56$
$k=2(64)-256+56$
$k=128-200$
$k=-72$
So the vertex of our function is (8,-72)

Next, we are going to use the vertex to rewrite our quadratic equation:
$y=a(x-h)^2+k$
$y=2(x-8)^2+(-72)$
$y=2(x-8)^2-72$
The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.

We can conclude that:
The rewritten equation is $y=2(x-8)^2-72$
The x-coordinate of the minimum is 8

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