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avanturin [10]
3 years ago
7

Could you help me with 8-9

Mathematics
2 answers:
tigry1 [53]3 years ago
7 0

That would be negative 1 for your answer to 8 - 9

givi [52]3 years ago
4 0

there are 13 hearts in a deck so that would be

\frac{13}{52}  =  \frac{1}{4}

so if we draw for a second time that would be

\frac{12}{51}  =  \frac{4}{17}

hopefully this helps

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Factor the expression<br> 12x^2 +7x+1
Leona [35]

Answer:

\boxed{\textsf{ The factorised form is \textbf{(4x+1)(3x+1)}.}}

Step-by-step explanation:

A quadratic polynomial is given to us and we need to find its factorised form . The given quadratic polynomial is ,

\sf\implies p(x)= 12x^2+7x+1

And this equation is similar to the equation in ax² + bx + c form . So in order to factorise it .

Step 1: <u>Multiply </u><u>the </u><u>coefficient </u><u>of </u><u>x²</u><u> </u><u>with </u><u>the </u><u>constant</u><u> </u><u>term </u><u>.</u>

Here the coefficient of x² is 12 and the constant term is 1 . So on multiplying them we get 12*1= 12 .

Step 2: <u>Look </u><u>out</u><u> </u><u>for </u><u>the </u><u>possible</u><u> </u><u>factors </u><u>of </u><u>the </u><u>number</u><u> </u><u>.</u>

Here the obtained number is 12 . So the possible factors of 12 is

  • 1 *12
  • -1*-12
  • 2*6
  • -2*-6
  • 4*3
  • -4*-3

Step3: <u>Choose </u><u>the </u><u>factor </u><u>whose </u><u>sum </u><u>is </u><u>equal </u><u>to </u><u>the </u><u>coefficient</u><u> </u><u>of </u><u>the </u><u>middle</u><u> </u><u>term </u><u>.</u>

Here we can see that the middle term is 7 . And the sum of 4 and 3 is equal to 7 . Hence here we will break 7x as 4x + 3x .

Step 4: <u>After </u><u>proper</u><u> </u><u>arrangements</u><u> </u><u>take </u><u>out</u><u> the</u><u> </u><u>common</u><u> </u><u>term </u><u>and </u><u>then </u><u>factorise</u><u>.</u>

After suitable rearrangment we get ,

\sf\implies p(x)= 12x^2+4x+3x+1 \\\\\sf\implies p(x)= 4x(3x+1)+1(3x+1) \\\\\implies\boxed{\red{\sf p(x)= (4x+1)(3x+1)}}

7 0
3 years ago
Please help me i’ll appreciate it
yanalaym [24]

9514 1404 393

Answer:

  (c)  g(x) = 1/3·f(x)

Step-by-step explanation:

You can pick a point, such as the vertex at (2, -3) on f(x) and see which of the transformations gives you a point on the graph of g(x).

You will find that g(x) represents a vertical scaling by a factor of 1/3, so ...

 g(x) = 1/3·f(x)

__

The point (2, -3) on f(x) corresponds to the point (2, -1) on g(x).

5 0
3 years ago
Jessie has been training for a half-marathon. Jesse trains on a track where each lap is 1/4 of a mile. If Jesse ran 3 1/7 miles,
NISA [10]

Answer:

14.2

Step-by-step explanation:

4 0
2 years ago
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If x equals 5 what is 72+72+18x+9+18x+9
romanna [79]

Answer:

342

Step-by-step explanation:

x=5

72+72+18(5)+9+18 (5)+9=342

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3 years ago
Gina is building a garage that needs to have 96 square meters of space. The garage must have a width of 4 meters and be measured
Kobotan [32]
1 plan- 4×28 I think that is the only way
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