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kkurt [141]
3 years ago
15

Expand (4x+3y)^5....

Mathematics
1 answer:
timofeeve [1]3 years ago
4 0
(4x+3y)*(4x+3y)*(4x+3y)*(4x+3y)*(4x+3y)
?
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Which expression is the factored form of x2 – 7x 10? (x 3)(x 4) (x – 3)(x – 4) (x – 2)(x – 5) (x 2)(x 5)
alexandr402 [8]

The expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

<h3>How to find the factors of a quadratic expression?</h3>

If the given quadratic expression is of the form ax^2 + bx + c

then its factored form is obtained by two numbers alpha( α ) and beta( β) such that:

b = \alpha + \beta \\ ac =\alpha \times \beta

Then writing b in terms of alpha and beta would help us getting common factors out.

Sometimes, it is not possible to find factors easily, so using the quadratic equation formula can help out without any trial and error.

For this case, we're provided the expression:

x^2 -7x + 10

We can write 10 as multiple of -5 and -2 and

we can write -7 as sum of -5 and -2. Thus, we get:

x^2 -7x + 10 = x^2 -5x - 2x + 10 = x(x-5+ -2(x-5) = (x-2)(x-5)

Thus, the expression x^2 -7x + 10 can be written in factored form as given by Option C: (x-2)(x-5)

Learn more about factorization of quadratic expression here:

brainly.com/question/26675692

4 0
2 years ago
I need help with #7 ?!!! <br> Btw #6 is correct
Musya8 [376]

Choice C for problem 6 is correct. The two angles (65 and 25) add to 90 degrees, proving they are complementary angles.

===========================================

The answer to problem 7 is also choice C and here's why

To find the midpoint, we add up the x coordinates and divide by 2. The two points A(-5,3) and B(3,3) have x coordinates of -5 and 3 respectively. They add to -5+3 = -2 which cuts in half to get -1. This means C has to be the answer as it's the only choice with x = -1 as an x coordinate.

Let's keep going to find the y coordinate of the midpoint. The points A(-5,3) and B(3,3) have y coordinates of y = 3 and y = 3, they add to 3+3 = 6 which cuts in half to get 3. The midpoint has the same y coordinate as the other two points

So that is why the midpoint is (-1,3)

7 0
3 years ago
A farmer needs to deliver 1,227 pieces of fruit to the farmers market by the afternoon Each crate holds 163 piece of both orange
bogdanovich [222]

Answer

7.53

1,227 then divide that by 163 so

1,227÷163= 7.53 so then you would go

163 and multiply 7.53 and you would get 1,227

6 0
2 years ago
Simplify the following expression. Classify the resulting polynomial.
Nady [450]

Answer:

C.Quadratic binomial

7 0
3 years ago
Given a family with three ​children, find the probability of the event. The oldest is a boy and the youngest is a girl​, given t
mafiozo [28]

Answer:

The possible cases of the children in increasing order of age are

1) Boy,Boy,Girl

2)Boy,Girl,Boy

3)Girl,Boy,Boy

4)Girl,Girl,Boy

5)Girl,Boy,Girl

6)Boy,Girl,Girl

The favorable cases in our event are 2 numbered 4 and 5

Thus the required probability is

P(E)=\frac{2}{6}\\\\P(E)=\frac{1}{3}

6 0
3 years ago
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