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kotegsom [21]
3 years ago
14

Factor the polynomial 9x-6

Mathematics
2 answers:
Afina-wow [57]3 years ago
6 0

Answer:

3(3x-2)

Step-by-step explanation:

this is factoring 3 out of 9x-6

labwork [276]3 years ago
3 0
The answer would be 3(3x-2).
I hope this helps!
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Show that <br>sinx/1+cosx=tanx/2​
hammer [34]

Answer:

See proof below

Step-by-step explanation:

show that

sinx/1+cosx=tanx/2​

From LHS

sinx/1+cosx

According to half angle

sinx = 2sinx/2 cosx/2

cosx = cos²x/2 - sin²x/2

cosx = cos²x/2 - (1- cos²x/2)

cosx = 2cos²x/2 - 1

cos x + 1 = 2cos²x/2

Substitute into the expression;

sinx/1+cosx

= (2sinx/2 cosx/2)/2cos²x/2

= sinx.2/cos x/2

Since tan x = sinx/cosx

Hence sinx/2/cos x/2 = tan x/2 (RHS)

This shows that sinx/1+cosx=tanx/2​

7 0
3 years ago
What is an equation of the line?
Harman [31]
Your answer is going to be B.y-2=-3/8(x+4)
5 0
3 years ago
Evaluate.
ohaa [14]

Step-by-step explanation:

\frac{9.2 \times  {10}^{ - 8} }{2.3 \times  {10}^{3} }  \\  = 4.0 \times  {10}^{ - 11}

8 0
3 years ago
Last year, a women's professional organization made two small-business loans totaling $28,000 to young women beginning their own
igor_vitrenko [27]

Answer:

$7,000 at a rate of 7% and $21,000 at a rate of 14%.

Step-by-step explanation:

Let x be amount invested at 7% and y be amount invested at 14%.

We have been given that a women's professional organization made two small-business loans totaling $28,000. We can represent this information in an equation as:

x+y=28,000...(1)

The interest earned at 7% in one year would be 0.07x and interest earned at 14% in one year would be 0.14x.

We are also told that the organization received from these loans was $3,430. We can represent this information in an equation as:

0.07x+0.14y=3,430...(2)

Form equation (1), we will get:

x=28,000-y

Upon substituting this value in equation (2), we will get:

0.07(28,000-y)+0.14y=3,430

1960-0.07y+0.14y=3,430

1960+0.07y=3,430

1960-1960+0.07y=3,430-1960

0.07y=1470

\frac{0.07y}{0.07}=\frac{1470}{0.07}

y=21,000

Therefore, an amount of $21,000 was invested at a rate of 14%.

x=28,000-y

x=28,000-21,000

x=7,000

Therefore, an amount of $7,000 was invested at a rate of 14%.

8 0
4 years ago
There are 84 students in the glee club there are 12 more boys than girls what is the ratio of the number of girls to the number
Masja [62]
Let us denote the number of boys in the glee club with X and the number of girls with Y.There are 84 students in the glee club, which means that the following equation can be written:X+Y=84We also now that there are 12 more boys than girls, so:X=Y+12We can rewrite the first equation like:(Y+12)+Y=842Y+12=842Y=62Y=62/2=31X=31+12=43So, the ratio of the number of girls to the number of boys is: Y/X=31/43
Read more on Brainly.com - brainly.com/question/4711779#readmore
5 0
3 years ago
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