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4 years ago

Expand 5a(3a-2b). Thank you!

Mathematics

2 answers:

Thepotemich [5.8K]4 years ago

6 0

Answer:

15 a^2 + -10 a b

Step-by-step explanation:

Expand the following:

5 a (-2 b + 3 a)

Hint: | Distribute 5 a over -2 b + 3 a.

5 a (-2 b + 3 a) = 5 a (-2 b) + 5 a (3 a):

-2 5 a b + 5 3 a a

Hint: | Combine products of like terms.

5 a×3 a = 5 a^2×3:

5×3 a^2 - 2×5 a b

Hint: | Multiply 5 and 3 together.

5×3 = 15:

15 a^2 - 2×5 a b

Hint: | Multiply 5 and -2 together.

5 (-2) = -10:

Answer: 15 a^2 + -10 a b

kotegsom [21]4 years ago

3 0

Answer:

idk

Step-by-step explanation:

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Sum n=3 ^ infty (2n+5)<br>find the series shown

Margarita [4]

<h3>Answer: Choice C) 11 + 13 + 15 + 17 + ...</h3>

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

Explanation:

We're adding terms in the form (2n+5)

The first term is when n = 3, so

2n+5 = 2*3+5 = 6+5 = 11

The next term is when n = 4, so

2n+5 = 2*4+5 = 8+5 = 13

The next term is when n = 5, so

2n+5 = 2*5+5 = 10+5 = 15

And so on

This means,

$\displaystyle \sum_{n=3}^{\infty} (2n+5) = 11+13+15+17+\ldots$

which matches with choice C. The three dots indicates the pattern goes on forever.

-------------------

Choice B does not have these dots, so that's why choice B is not the answer. If we replaced the infinity symbol with 7, then choice B would be the answer.

I.e,

$\displaystyle \sum_{n=3}^{7} (2n+5) = 11+13+15+17+19$

8 0

4 years ago

Someone help plss show work

Mazyrski [523]

Answer:

Slope: $\frac{3}{5}$

Y-Intercept: $(0,-5)$

Step-by-step explanation:

1. To find the slope, we need to have the equation in slope-intercept form, which is $y=mx+b$ . In this case, our equation is already in this form. $m$ is what your slope is. In this case, our