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gregori [183]
3 years ago
12

Factor the trinomial: 2x^2+13x+21

Mathematics
1 answer:
steposvetlana [31]3 years ago
8 0
The answer for your answer is (x+3)(2x+7)
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Yasir designs bracelets. He uses between 9 and 15 red and yellow beads in a ratio of 2 red beads to 5 yellow beads. Drag the bea
Paraphin [41]
You should place 4 red beads and 10 yellow beads into the container. This satisfies both, the ratio and the amount of beads in each container
6 0
3 years ago
Can someone help me understand how to do this quadratic math problem
Juliette [100K]

Answer:

  put all of the expressions into the same form, such as standard form

Step-by-step explanation:

When you're trying to determine whether one expression is equivalent to another, you need to put both of the expressions into the same form. This will generally require some algebraic manipulation using the rules of equality.

Here, you're given a quadratic in standard form. From what we can see of the one partial answer, some of the choices are in vertex form. To determine if they are equivalent, you can do either of two things ...

  1. Put the given expression into vertex form
  2. Expand the answer choice to put it in standard form

___

<em>For multiple-choice questions</em> of this type, it is often sufficient to look at one or two terms of the different equations. That is usually all it takes to separate a good answer from a bad one.

You can start with the x^2 term. Any answer choice that has an x^2 coefficient different from 1 will be rejected.

Next, you can look at the sign of the x term. Any answer choice that doesn't have a positive x term will be rejected.

Finally, you can look a the constant term. Any answer choice that doesn't have a constant term of +4 will be rejected.

___

As it happens, the given equation is a perfect square, so one equivalent is ...

  y = (x +2)^2

_____

When working with quadratics, it can be helpful to memorize a couple of the ways they can be written:

  (x +b)^2 = (x^2 +2bx + b^2)

This is a special case of ...

  (x +a)(x +b) = x^2 +(a+b)x + ab

3 0
3 years ago
Simplify the expression by combing all like terms x +2 + x + 2 + x
sergeinik [125]

Answer:

4 + 3x

Step-by-step explanation:

2 + 2 = 4

Add the three x's together and you get 3x!

Hope this helps! ^^

5 0
3 years ago
Read 2 more answers
If the common difference of an ap is 3/2 and its 20 th term 35×1/2 find first term and 15 th term
Lady bird [3.3K]

Answer:

Step-by-step explanation:

d = 3/2

a₂₀ = a₁+19d

35/2 = a₁ + 19×3/2

a₁ = 35/2 - 19×3/2 = -11

a₁₅ = a₁+14d = -11 + 14×3/2 = 10

4 0
3 years ago
(sin x)(tan x cos x - cot x cos x) = 1 - 2 cos2x
Aliun [14]
As

\tan x=\dfrac{\sin x}{\cos x}
\cot x=\dfrac{\cos x}{\sin x}

we have

\sin x(\tan x\cos x-\cot x\cos x)=\sin x\left(\sin x-\dfrac{\cos^2x}{\sin x}\right)=\sin^2x-\cos^2x

Recalling that \cos2x=\cos^2x-\sin^2x, we end up with

-\cos2x=1-2\cos2x
1=\cos2x
\implies2x=2n\pi

(where n is any integer)

\implies x=n\pi
5 0
3 years ago
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