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pshichka [43]
3 years ago
14

Simplify the expression.

Mathematics
1 answer:
user100 [1]3 years ago
6 0
Ur answer is. 5 y^2+4y+14 because I went through it in class
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Remove the brackets and simplify
Komok [63]

Answer:

5x - 7 {x}^{2}  -  {(2x)}^{2}  \\  = ( {2}^{2}  {x}^{2} ) - 7 {x}^{2}  + 5x \\  = 4 {x}^{2}  - 7 {x}^{2}  + 5x \\  = x(4x - 7x + 5) \\  = x( 5 - 3x) \\  = { \underline{ \underline{ \:  \:  5x - 3 {x}^{2}  \:  \: }}}

7 0
3 years ago
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Can anyone explain those marked steps in case (iii)
Tema [17]
\cos\dfrac{3x}2=\cos\left(\dfrac\pi2+\dfrac x2\right)
\implies \dfrac{3x}2=2n\pi+\dfrac\pi2+\dfrac x2

follows from the fact that the cosine function is 2\pi-periodic, which means \cos x=\cos(2\pi+x). Roughly speaking, this is the same as saying that a point on a circle is the same as the point you get by completing a full revolution around the circle (i.e. add 2\pi to the original point's angle with respect to the horizontal axis).

If you make another complete revolution (so we're effectively adding 4\pi) we get the same result: \cos x=\cos(4\pi+x). This is true for any number of complete revolutions, so that this pattern holds for any even multiple of \pi added to the argument. Therefore \cos x=\cos(2n\pi+x) for any integer n.

Next, because \cos(-x)=\cos x, it follows that \cos x=\cos(2n\pi-x) is also true for any integer n. So we have

\implies \dfrac{3x}2=2n\pi\pm\left(\dfrac\pi2+\dfrac x2\right)

The rest follows from considering either case and solving for x.
5 0
3 years ago
GETS BRAINLIEST AND 11 PTS
TiliK225 [7]
I think the answer to this question is (C) $36.36.
6 0
3 years ago
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Factorise the following quadratic equations ​
vesna_86 [32]

Answer:

see explanation

Step-by-step explanation:

In 13 - 17

Consider the factors of the constant term which sum to give the coefficient of the x- term

13

x² - x - 42 = (x - 7)(x + 6)

15

x² + x - 6 = (x + 3)(x - 2)

17

x² - 27x + 50 = (x - 25)(x - 2)

19

r² - 25 ← is a difference of squares and factors in general as

a² - b² = (a - b)(a + b) , thus

r² - 25

= r² - 5² = (r - 5)(r + 5)

5 0
3 years ago
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I NEED SOMEONE TO PLS ANSWER THIS I WILL MARK BRAINLYEST IF U ANSWER IT CORRECTLY JUST PLEASE HELP
scoundrel [369]
1. 24
2.-40
3.-8a-8b
4. 10b+40
5. -2p-14

I believe these are right, hope this helps!!
8 0
3 years ago
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